947 -307 480 55339
...............#.......#.......##...#......................#............#..............................................#...........#.#....#.....##........................#.#.....#............#..#.....#....................#......#..........#.....................#..#..................#....#.#...............#.....#.........#......#.............#...............#....#..........#...........#.#......#.......#.#.......................................................#.###...#.....#.............................#.................##..#........#.....#....#................##............##.....#......#....................#.......#...#....#...#........#..........#.....................................#.#..#..#.........#......#...............#...........#..#....#..#...........#............#........................#.#........#........#...#........#................#.......#..#.....#...........#...........#.#....#.......#................#.............#..
..............#..##.#....#..............#...........#...................#.#........#....#................#......#.........#......#...........#..............................#......#.#..................#...#........#....#.#...#......#...#..##..............#.......#...#......#.........#....#.#........#........#............#..#...#...#.....................#..........##.......#..........................#.......#.#.....#...........................#...#..#..........###..#.....................................##................................#....#...#..........#.#.............##..#............#.............#.............#.......#..#........#.........#.......................................#.....#........#..............#....................#....................##...#.........#.............#.#........#.......#...#.........#.........#..................#............#..#.........#.....#......#..#...##.......#...#.#....#.......#..........#.......
.......#.........#..........................................#.........#...#.#...........##.....#............#.......#.........#...............#...............#.......#...#..#.#.#....#.....#..........#........#.................#.....#...##.....#............##.....................#.#.....#...#.........................#...#.........##....................#.#.....#..............#..#............#...#...........................#.........#....#....#...........#..#.....#.#.......#.......#................#.....#...##.#.#....................#........................#...........#..................#...#...#................#.......................#....#.......................#............#.............................#...................##......#......#........#........#.#.....................................#.......#..#......#....................#....#.........#.....#...#......................................#...........#........#...........#....
##.....#.....#.....#.............................#..........#........#...#..#............#...#......#........##......#...#.............#.#.........#.............#.........#..#..............#...#..........#.#.....#................#.........#..#.................#.....................................#.................#....#..................#...................#...#..............#.#...........##.........##........#......#...#.......#............................#..............................##..........#.........#...............#.......#..........#.#........#.............##....#...#..#..#......#..............#................##.....##.........................#.......##...#............#........................###..........#........#.....#...............#...#......#...#............#....................#..#......#...........#...............###........................#.....#.##.............#.###..........#..#................................
.................##..........#.............#..................................................#...#.........#..................#....#.....#..........#.......#....#.......#....#.........................#.......................#........#.......................#................#.....#................#...................#.......................#......#........#..........#...............#.....................#............##.....#...#.#........#............##...........#.....#......##........##.#.......#........#.....#.....................................#.........#........#...#.............#....#......#............#...............#.....##..........##..............#......#........#............#.#......###..#..........#........#..................#...#...............#....#.....#..........#.........#........#....#....#.......#............##....................................#...............#.......#...##....##........................#.......
...#........#.........................#............##............#...#..#..........##...#.#...#...........#................#.........#.#.....#..................................#.#.##.........#....#...##..........................#..............................#..........#............#.....................#...........................#.......##...........#...###..........#...........#..........##......#......#...........#.................#..............................##...........#.#....#..................##...............#....#..........##.................##..............#.#.....................#...............#............#.........#.........#...#.#...#.#.......#..#............#........#.#..#....................#...........#.............#..#..............................#....................#..#............................#..#...................................#........#.............#......#.....#............................#...#....
....#.....#.....#........##..........#..#...#....................#.#...#.#.....................#..........#.#...#..#.#..............#...#............................#.......................#.......#................................................##..............#................#...........................................##...#..#..#.................................##.............##..#...#.....#....#....#......#.......#............#..#..............#...##.................#.#......#.................#..#.......#...............#....#....................#...#....#......................#................#......................##....................#........##.#.#.#..#........#......#............#....#....##............................#................................#.#...............................#..............#......##....#...#.#.....#....#....#.......#..#..#.#.................#...#.....#.........#.......#.........#............#.....#
..............................#....#..#............#..........#...#......##...#.............#............##..............#..............#.........#..#.......#...#.........#..........#.....#.......##.......#...........#..#..#..#....##......#..........#..................#..........#.......#.........................#.#.#...................#.....#.........#..#..#.................#.........#.#........#.#.......#................#.........................#..#.................................#......................#.........#..##...#.......#....#.........................................#.......#..................#.....#...#........#.#.#...................#..#.#..#......#......#...............#.........................#..........................###......#.......#.......#...............................##...#...........#.#........#............#.....##...........#..........................#.#.........#........#..............#....#......##.......
.....#..............#............#..##......................#..........#.....#.....#.................#.....................##...#.#...............#.........##....#..............#........#...................#.........#..#...............#.....##............................#...........#................#............#........#.#....#..#...............##........##...##.........#............#..........................................#.........#..........#.........#.....#..................#..........#.#....#..#.................#...................#.........#...##.......................#.##........#..........................#.#...............................................#....#............#.......#..........#........#.#...............#...#..................#...........#...#....#..................................#.....#......#..............#...............#.#........#....#.#.............##..................#..........#.......................
......#.........#..................#.......#............#........#..........................#.........#...#.......#...##..#..............##....................................#...#....................................#...............................#....#..................#............#...#.......#.........#.......................#....#......#.....###...#...#........#..........##.....#...#.......................#.......#.....#..........#........#......#..........................#.#.......#..#...#.......#....#......#.#.........................#.#......#.....#....#...##..............#..........##..#........#......##.......#.#..#.....................#......................#.#.#..#....#..........................#....##........#..........................#.#.....#...........................##....#.#....#............#....#....................#..#...................................#.................#..................#...###..#.....#....#....
....#....................#...................#..#.........#...#............#.......#................#...........#........#...............#.............#...#........................................#...................#....##.......#...........##..#....#.#...#........#.....................#......#........#......#.................................#.##.....#..........#..#.....................##..#...#.##...#......#.....##..............#.......#.......#.....#..........#...................#.................#.............#....................................#............#..#....................................#............#......#.....##...#..#...........#......##..#.#.....................#.#....................................##.........#.........#..........#...................#.........##............#........#......#.##..#........##..........#.....................#..#..................................#..............#............#..........
..........#..............#...........#...#...#..........................#....#.#.#........#...#.#...#..............#.#....##........#.....#..#.......#...........#....#........#.......#...#...............#..#............#.....##.......##.....##..#....#..........#.........#.............#..............#..#.....#.......#.....#........#....#.................#.#...#.....#....#...#.#....#.................#..#.....#.........#.....###..#............##.......##..##...................#..#..#..........#.#.#......#.#.#........#..#.......................................#...............#....#...#...#.....##...........##......#.#.....#................#...#....#..#........#..........##.....#...#......#...................#.#......#.....................................#.......#...#............##............#......##........#................#..........#......#...#..#...........#....#.........#.......#...............#.#...#.#.........#...................
.............#.....#...........#............#.........#....##.....#.......#..........#......................#.....#...##.......#....#........##....#........#............#.....................#......#..##....#....##...............#..##.#..........#.......#...................#...#.#....#.....#......#..................#..#...#....#........#...............#........##.#.....................................#....#........................................................#...................#......#....#....###......#........#....#....#...#..............#........#.....................................#..........................#.....#...#......................#....................#...............#...#...#................#.....#.#....#............#...........#....#...........##...........#...#...#............#..#..........................................................#...........#..................#......................##...........#.#....#..
..#......##...........#................#.......#.........#.#..#..#............#...#........#.................#....#......#.#...#.#.....#.............##.........................#...#.#..#.................................................#..#.....#.#..#.............#....#.........#.................................#..............#...#....................................................................#....#.......#......................#..#..#.............#....#......#..#......................#.....#.##.........................................................................................##...#...#............#.......##..........#........................#............##..#....#.#....#.......................#......................####...........................#...........#....#...............##...........###...#......#..............#..........#.#........#.....#.......#..#...#...#............................#...#.............#..........#
.##..................#....#......#......##............#...............#.....#..#..###.#.......#.............................#............#....#....#..#......................#............#.........................#............#..#..........#.........##......##.#......#......#........#.........#..................#.........#............................#......#.............................................#..#..#....#.................#...........##..........#........#.#.........###......#......#............#...#........#.#.....................#.....................#.#...............................##.#..............#............#....#...............#.............................#..#........#...................#...........#.#..................#..............#...........##...##..............#...#..#....#.....#....#...........#....................##..##.....#................#.#.#.......#.......#................#...........##.#......#........
.....................#....................#...#...#........#......................#..#........#........#......#.....#......#.....#.................................................#................#..##.....#........#......#..........#......#.....#...................#.......................#.............#................#.......#..........#....#...#......###..#......#......#................#....................#........#...............................#....................#..##.................................##.#............................#.............#.....#..........#....#.........#......#......#..............#.#...........#...............#..#..............#...#.##...##....#......#....#.#...........#...#....#............#..#.....#.#......................................#.##...#.......#....#..#...............#.........#........#............#..........#.........................#..............#..#....#.........#.............#........
................#......#.....................###....#................#....##..............##........#...........#.........#.#..........##.......#.#.........#.........................................#...................#..........#....#...........#............#............#.........##........#.........................#............#..#.....#......#....##.....#..#...............#.#......................#.............#...#..........#..................#..................#.#...............#.............#..#.......##.......#......................#.#....#...#...............#..#.....#.#...#.#..............#..............#.........................#..#.#...................#....#.............................#..#.............#...#.....................#..#..#........................##.................##...................#...#.............................#...........#...#....................#......#.#.......................#.......................
................#............#..#....#.#....................#.....................#...................#..#.........##...........................................#.............#..........#.#...........#.....##...............#.........#..#.....................................#.#.#.....#..............#......................#..........#......#...#................#.#.....#.............#...#.....##...................#.........................#...#.#..................#..#..#..#..#....#.......#.#...#...#.#....#...........#..#..#....#..#.............#.......#..#.#...#....#...............#..........................#......................#...............#...............................#....................#........................................#....#........#...#.#..#...#............#...............#.........##......#............#....#...#.........#............##.............#..#......#...#..##......#.................................#.........
......#.#.......##..#..............#..#.........###..#....#.........#..#..#....#..#...#..........#............................#.............#....#............#........#.........#............#......#....................#....#.........#............................#......#..#.........#............#................#.............#...........##...........#.#...#..#....#.................................................................#.....#.............#.#...#...........#.......#.#.#....#..............#...#...........#.......#........##..#.......................#...........#..........#....#...#.#.......#...#................................#.........#....#.#..#..........#..............................#.......#......#...........#................#...###..#.#...........#....##.............#......#.#..#.............#.#............#........#.....#.#...............................#.........#.......##..##......#....................#.##.......#....
...........#.........#................#...#.#.#...............#....#..##.##........................#..................#...................#...#.....#...........#.#...#..#.....#.............#..#.....##....#..............#......#............................#...........#.#...#...............#........#...........................................#.........#..........................#...#......#.#..#..#.........................#....#...#..#.......#....#............#.....................#...#......#.....#.......#.....................#..........##.........#........##....#.#...........#.....###............#.....#..##...#.......#..#.................#.................#.....................#..........#..#..........#..#...#..........................#.........#.......#...#...............................#.......................#..#........#.#.........#................#.......#..............#..#.......#..........#.........#.....#.#............#..#...
..........................#..#...#.#.......#...#.........#...........#..................#...................#...................#.........................................#..#....#................#..#.....#................#..........#.#....#..#.#..#..##.....#..#..............#...................#......................#............#........................#.#.##.................................#....#...............#......................#.......#.....#........#....#....#.............................................#........##........##............#.......#.........#...............#.......##...#...#.#..........#...............##....#.......#...#..............#..#.......#.#.#..............................#.............#.................#..................................#.............##..#..#......##.....#..#.......#.#....#....#.........................##........#...#..#.....#..#.....#..##.............#...#..#.#..............#...........
........###......#............#.............#...#...#.....#........##....#..................................................#...........#.....#..##..........#.............#.....#...#....#.............#..#........#...##....#.......#....................#....#..#......................#..............#.............................#...#.#...#................#.......................#............................#..##................................................##.#............................................#....#.......##.........#...#....#.............##....##........#.#.....#......................#.....#.#.......................#.....#.........#.....##.....................#......#.........#.....#.........#..#....#.............#............#.....###........#...#...........#...#..........##..............#..................................................................................#...##..............................##.....#........#
.#.#....#.........#............#......#.#..................#......#.....#.#......#...#.##..#...........#.........#.........................#..#.......#..............#.#.........#....##........#.........#...........##............#............#..............#.......................#..#..........#.......#........#.#................#......................................................................#........................................#.........##..#...#.......#........#......................##...................#........#.....#......................................................#.........#.........................#.#.#.................#............#..............................#....#.................#.....#...................#........#..##........#.............#........#.#.#...#..............##..............#.............#..........#......................................#.........#.......#.............#..#....#................
.......##....##..#......#...................####......#.........#........................#........#...#........#........#...###.........#.#...........#......#.................................................................#...................#...........#.....#...........#...#.....#..#.................................#.#...............#.......#.....#..............#....##.......#...............................#........#......#......#...#..................#...........#..........#..............................#...#...................................................#.....#...#....#.......#....#....#......#.....#.#..#........#.........................#..#.........#........##..#......#.....#.............#...............#........#......#..........#....#..#........#.#............#...###...........#....#...............#..#.......#.........#..#.............#..#..................#...............#..........#...#.....#....#.................#...#
.......#..##.##.............#...........#............##....#...........#......#...........##..............#..............#......#...................#...........#.............#.....................#..........#.................#...........#.#....#...#.....#........#...#.......#....#.............#...#.....##.......#.....#.#...#..#...#.#....#..#.#........#.....#.......#.........#..........#..............#.....#............#..................................#......#................##....#...#..................#................##.#..............#......#........##............#.#..#.#................#..................................#....#.##..##....##........................#....##.......#...........#...........................#..#.............#..#....#..................................#...............##........##................#.......#.........#........#......#.......#..#....#.................#.#..#...#........#.........#......#........
....................##..#.#...#...........#......................#....##.....#.......#...#........................#......###..........#.....#.......#.....#.#...............#......................#.................#.#...........................#......##...........................#......#...........#...................#..#...#.....................................##............#.#.......#..#.#........#.............................................................................#.....#...#.....#..........#........#.............................#...#.....#...#.................#................#.##.#.........................#..............#............#...........#...........................#............#.............#..............#......................#..............................................#..##.................#.....#...#..............#.......#.......#..............#..............#......#..##..#...#..#..#....#...##..............
..#..#...........................................#..#............#........#........#.....#...##.........#..#...#.......#.#.....................#..............................#.#...................#...#.#.#............................#........................#.#.#............##....#.......#..........#..#.......#............#.....#........#......#.#..............#....#..................#...#...............................#...................##...#.........#.#..#.....#..............................#......#.............................#...................................#.................#........#..##..#.......#.............#........#....................#............#......#............#.#.....#.....................#......#.........#.........#....#..#.....#.........##....#......#.#.#.#..#...............#.............#...........#............#................................#..#....#................#...............#..#..............##...
.......#.............#..#....................#..#.........................#....##...#.#...#..........#...........#..##...........#.#.#.......#....#....#.#........#.#....................#.......#..................##..............#............#..........#......#....#.....#.........#.....#...#.......#.........#....#................#..........#.......#..........#...........................#...#............#.#.#....#..................#....#.......#....#.........#........##.##.......#......#..##........................................#.......##..#........................................###..#......#...#...............#......................................#........#.................#....#...........#.........#..##.....#..........................................#......................................#..#....#...................#.........#...#.....................##.#..#......#..........#.##..................#.........#........#.............
...................#............#..#..#........#...#.....##.........#.......#.#......................#......#.....##...#...........#.....##.................................................#.......#.#......#.........#........#.......................#.............#.................................#.........#........#..............................#..........#.......#....#.......#.#...#.........#...#......#.......#..........#......................................#................#......#.#......................#..#...............#.....#............#.........##.##....#....#..#.......#...#.#.#...#....#......................#.......#...#.....................#.....#................#....#.###.#...#...#.......................#.....................#....#...##....................#...................#.#.......#...#...........#..........#........#..............#.........#....#......#...........#.............#...#...#..#.................##.........
....................##....#.............................#............#............................#.#.....#....#.#.............................##.............#.#...#....................#.....#......#......#..#..#................#...........#..#.#...........##....#.....#.............#...#.....................#.#..................##......#..#............................#...............#........#......#............................#........##...............#...............#.......#......#...........................................#.............##.....#.............#............##.....#...#...#......#........#..#.#...............#.................#.........#...#.......#....#.#..............#........#.#.............#........#......#...#.......#.#...#............#........#..............#.........##..................#.......#.#.#................................#............#.......#...#..#...#..........#...##...........................#.....
......#.................#.....#..........#..#...#.#....#.......#........................#.....#.#...........#.###......#.#............#.....#..................#.......................#...........#.....#..#.....#..............................##..##......#.#...#.#.......##......#...#...#................#...........#####...#............#........#...#........#.......#.............#......#.##......#..#...............#.#..........#.....#..#..#..#.....................#..........#....#...................#.......#..#..................#......#.#...............#.....#.........#................#.............#..............#.........##....#.....#...........#...#...................#...............................#.#.....#...#........#........#.#...................#.......#......#............#........................#....#..............##....#.....#.##......##..#.........#....................##..#..................................#..#..............
.......#.........................#.............#........#........#.#............#.......................#......#...#....................................#..............#..##....#.......................#..#..............#.................#....#......#.#...........#.............................#............#............#..#.....#....#................#............................#............#...#.......#...#.....#...##......#.##.........#........##........#...........#...#...................#....#....#........#.#.........#........................#...#........................#......#.....##..##..............#.........#...........#.#................#..#..##.........................#.....##....#...............................................#.................#.........#.....#...................#.......................#......#...#.......#.......#.........#..............................#....#.......#..#.......................................
.....#..........................#......#.......#.............#....##..............................................#.....#......#..#.#.....#.........##..............#.#...#...#...#....#...#.#..#............#................................#......#..#......#....#.......................#................#..#..............#..............##.......................#....#......##..#........................................#.............#..............#..##....................................##.............#....#...#....##..#...............................#......##....#.#.....................#............................#.......#...#......#......................#......................................#.......###............................#.........#.....#................#.....#........#........#..................#..........#.......#...........#....#........##.............................#.......#....#..#...........#...............#.............
.......#........#...#....#............................#.........#.#........#......................................##......#.#.........#.............#.........#..................##...##.....#.........#.............#..#.....................#............................................#....................#......###....##.#..............#..............................#..#..#...........#............#...................#.#.................#....#.......#................#...........#...#.....#......#...........#.#.........#.......##.#....#.........#...............................#.##....#....#..#....#...#........#........#...........#.#....#.....#..#.............................#................#....#...#.....................#................#...............#..................#.....#........##..................................#...............#.....#.................................#.............#...........................#..#..........#.#.
.....#...#...........#..................#....................#...#..............#......#...............#.#.......##.#......#................#.#.#.........#...........#.................#...........................##.......#...........#................#................#......#.#.......#.............................................#.......#...........................#............#.#.#..........................#.......#.................................#...#..#.#............#.................#....................#.##.................#...........#............................................................#.......#................#.#....#....#..................#.#.....##....##.#..#........................#..................................................................#..............#.............................................#..............#..........##.....#..........#.........#...#.......#........#..........#....................#..#
..##...#.......#.#....#..#...#.................##..##....#....#...............#...#............................#.........................##.....##...................#........................#.#.............#..#...#.#...#............#...#........................#...................#.............#..#...#...................#..........#...................#..............#...#...............#............#.....#.#..........#...#......#..#.......#.#...............#.......#..#..............#............#.#....#..............#..................#.....................#....................#....##...#..........##.......#........#..........................#...#......#...#.#.............#...............................#.........................#..............#........#..............#............................#...........#.....##..............#..#...#.......#..........#..#......#.....................###.....##....#.#..#...#...#...#..............#..
#....................#.......................#..#.......#........................#.#...............#.......#.....................#.....#..................................#................................#..#.......#...................#.....#......#....#.....#..........#.#...............#.......#...#..#................#.................#.#...#..................#....#...................................................................#......#...............##............#.........##.....#..#.....#.......#..###.#...#....#...#..#................#.......#.............................#....#......................................#........#.......#............#....#...#.........#...........#..........#....#........#......#...#.#......................#.......#...............##....#.........#....#........................#..........##....#.......#....................#..............#.....#................#......#.............#......#..........##.#
...........#.........##.#...........................#.....##....#..........................#................##.......#.......#.........#..#.........#....##............##.....................#........#.........#.....#......................##.........#.............#................#........#........................#............##.......#..#.#......#..........................#........................#............#..................#....#..................#...#...#..#.............................#.....#.....#..................#...........#.....#.............#...........#......##......#..................................................................#...#......#.................#.......#..#..............................................##..#............#..........#......#....#....#..........#...............#.#..........................................#.........#......#....................##............#.#..#.....................#.........
..................#..............#.................................#....#....................................#.....#.....#..#...#........##...............#.........#.............##..........##...#.....#..#...##.......##.......#....#.#........#...........#......#...#......#............................#.......................................#.#............##........##........#.#.......................#.###......#........................#...#..............#..................................#.#...#.........#.#..#....#....#....#.....#.............#....#............##.......#............#........#.....#...#..................#.......................#.#......................................................#..#.......#..........#..#...#.....#....#....#...........##..............#.....#.....#.....................##................#......##......#..#....##................#........##.........#..............................#.....#..#.....#.......
..#...#.#......#.....##........#..........#.............................#................#...........#.................#..........#..........................#.................#........##..#..#.....#...................#..............#..........#.............#....#.......#.....#..............................#........#.............#..........#......#......#.........................#.......#...........#......#...................#.......#..#..............#......#.............#........#...............#......#...#...........................#......#.....#..............#......#.....................##..............#..................##................#..#......#..#.................#..#..#.....#.................#......................#.#...........................#.........#...........#.###.#.#......................#.......................#.................##.........#........#.........#.#...........................................#.##...#.....
..........#..........#........#.......#....#...#..#....#.........#..#.....#........#...#............#......#....#...................#....#..............#...........#.##............#..#...........#..#...........#...#.....#..............#.....#......#........#....#.#....#...........#................................#..............#...#...............#..........#............#.#..............................#............#......#.#...........#.....#........#...#..........#....................#.....#................#............#...#.#......#........##....................#....................................##......#.........#..#.#...............#.......#..........................................#.....#................#.#..........#.......#.......................#....#........................#...........#......................................................#............#...#..........#.............##...#.........#..............#...........
.........##.#.................#..........#........#.............#...........#.#...#.#...........#....#..............#...............................##......##..#...........................#...........................................#..........#..#.....#.....#..........................#...............#.#.......#...#....#.....#.......#.....................#...........#.......#....#...#.......#.........#.................#.........#....#.#..........#.#.#.........#..........#.#..#......##.................................#..#.#.....#..#..............#.............................#............#...........#.....#............................#....#..................................#....#.............#......#.....#............#.......................#..#...#..##...#...................#.......#.........#...................#.......#.##..#..........#..#................#..........#......#......#.......##.........#..............#...............#.###
.........#.......#............#................................#...........#............................#..............##..........#.#.#.............#.......#......#.#.......#............#.#...#......#....#...........#.......#...................#..................#....#.............#.................##........#....#.#....#......##........#.....##..........#....................#........................#...#..#.#........#..#..#...............................#.............................##...#.....#.........#...#........................#.#...........#..............#.#.............................#....................#.......#.............................#....#...#....#..........................#...#.......#............................#.#.....#.......##........................#...#.......#............#....#........#........#.........#..........................#................#....................#.....#.....................#....##..##.
..#..#..........................#.......#...#...........................#..#......#...........#............#..................#...........#.....#........#........#.#.#...............................#........................................#..........................................#......................#.....#......#...............#.......#.....#....#...................#................#...........................#.......#....#....#.#.......#..#..#........................#....#...#....#.........#.#.......................#....................................#...#....##.............#........#.....#..............................................#..#...#..##......................##................#..............#......#.............#.........#........#.#...#...#.........#........##......#.#............#.........................................#......#.................#......#........#.................##..#..#.....#....................#..
.............#.##.#........#.................#....#.....#.#....#.#............#....#.........#.......#....#....#....#...........#.......#...#.#........#...#....#.........#................................#..........................................#.............#.....#......#.........................#.#...........#.....#...............#....#.............#.....#.........................#...............#.............#................................................#......#.......................................#............#.##.#........##.........#...............#.....#..#.......#.........#.......#...#..#..#.....#..........#.......................#...#......#.............##.................#...#.....#...............##.......#.............#..................#.#...............#.....#.................#.........##.#..#...................#..#.........#...........................#.....................#....#........#....##.#...........#.##....
.#..........##.............#.#...#......#..#..................#.....#..#.....#.........#....................#.....#...........#.#........#.#.......................#....##..............#...........#....#......................#..........#...................#.......................#...#...#.###....#.....#........#....#........#....#.#...#...............#...#..#....##......#..#....................##.......#...#.....#..................................................#.........#...........................................................#...............##....#.#......#...#.#.#.....#...........#.....#......#..#....#......#..#..................#..#..#..#.......#...#....#.#...................#..........#...............#.#....#......................#.......#..#......#.....#.#..............#......#................#...#..###.............#..#...#.#.....................#....#...................#......................##...................#.#........
#.......##........................#...#.........#....#..#..........#.#.................#....................#.#....#......#.......#.......#...#...#................#...................#.#...........#...#.....#....#....#.#.#.........#................#..............................................#.....##............#.#..#.#..##..................#.#...#..............##...#............#........................#.......#..#...............#........#..............#............#............................#............##...#............#.##...#.....................#.............#......#.#.................#.................#.............#.......#.....#.#..#..#.#.#.....#.....#.......#...............................#.....#..#......#......#..........#....##...#..........#.....#...#.....#......#...#.....................##..........#.##.#...............#...............#.....#..........#...................................#......#................#...
.#...#.....#......#............................##..#........#..#........................#...............#.................##.......................#........................................................##....#........#..............#...........#..#.............#.......................#.....#..#..............#..#.#........#.................#......#..##......#.......#....#............#.#.#......................#.....#...................#....................#............#.....#........##.........#..#......#.........#.....#.##.....#.......#.......#.#.................................................................#......#......#..#..#...#.....#.....#......................#.............#........#..................#...........#..#.......#..........#.............................#...#....#.............#.......#.............#.........#..........#.....#........#...#.......#.............#..#...#...#...........#..........#.........#..#........
.#....#...........#...........#.................................#..........#.........#...#.#...........#....#.......#......................#...........................#.......#.......#..........................#......#..#.............#...........#..................#......#...#.....#...#.............##.................#...........#..#.#.............#...................#.#..#....#..........#.........##.......#...........................................#...........#..#.......#...#....#.........................#..#...#.............#..........#.............##.............#.............##..........#................................#...........#................##.............................#........#...........................#.......#.#...............#................#........#....................................#..#........................................#........#.........##................................#..#.....#.#.........#..#......#
.....#..#..............#.........#...#.....#............#.....................#.............#....##....................#.#......#.........#..#.#......................#.#.#........................##....#.........#.........................................#...................#.....................#....................#.......#.##...........#...#..#...............#..........#............................#...............##..#.............#....................#.........#....#...#.....#...#.......#..........##.........#..................................#.....#.....................#...##.#....#..#.........###......##.............#...##..............#.##.............#.........#.......#..................#.................#..#...#.....................#...........#..........#.................#.............#...#......##.....................#.#..#....#..............................#.........#........................#...........#.##.................
....#..............#...#......#...............#.#....................#....#........#.......#...#............................#..........#...#..................#................#.............#.#..............#.......#............#.........##.#.......#......................#.............#.....#....#.....#......#................##..#.........#.....#..........#....#....#.............#......................................#.#......#...#.......#............##...#..#.................#.....#.#.................................##........#....#...#.#........#.#..............##..............##..#............##...#......#...........#....................................#.........#.............#...............#...#.............................#...........................#........#..........................#............#..............#...........#......#...................................#.........#.......#..............#......#.....#...........#....
......................................#.......#..................#.........................................#.....#......#.#...#.......##...........#....#.......#..###.....#............#....#...#.###.................................#..#.........#...............#.........#...#...........#.......#.....#............#...#.....#...............#...#.....#......#.......#......#........#.#.............................#.....#............#.#...............#..............#..............#.....#.......#............#....#....#......##..#............##......#....#.............#..........#.#....#...............................#....#.............#........#...#...#........#....#..#....#...............#...#......#....#.#.....#.....#...............................#.#............#..#............................#.......................#....#.....#.......#.......###..............#........#........................................................#............
....#..................#.......#.......................#.#........#.#.........................#.......#.....#...............#.#....#.........#............##..............................#............#.#......................#.............#...........#........#.#........#..........#...................................................#......#..#.....#.........................#..............#.....................................#......#............................#..........................#.......#.....#...........#......#...........#...........#....##....#.........#...........................#................................................#.........#................#..........#....##.......#....#...............#..........#.....##...#....#.....#............................................................#..........................................................#.....#........#.............#.#............#...#..............#..#.......#
..#...#......#.#...................#.......#.##...#..#....#................................................#...................................................#.......#.........#..#..........#.............#........#.....#....................#.......................#.#..........#.....#.................#..........#...............##.#..................#..#...............................#.......#.................#...#.......#.......#.....................#......#....#.........#........#................#..............#.........#.#...##........#.##..#........#..#........#..........................................................#.#..........#.......#.#.......#........#......##...#......#...##....#......#.#...#..##.......#....................#.........#..............................................................#..##................#...........................#.........#............#.....................#...#.#.....#.#..#..........#.......
.....#......#........................................#......#....#...#....#.#...............................##..........#..........#....#.......................#..............#.......#.........#...................#...#..#...#.........#....##.....#....#........#.......#......................#.......#.#....#......#..............#..........#.........#.#.......#............#......#...#......................#.....#.#.........#.#.#...##.....................................................#..........#..............#.......................#......#........#.#.......###............#.....#..................#....#......#....................#...................#......#..#..#........#.....#...#................#...............#.......#.....#.....#................#.....................#..............#....................#..#.#.........#...............................................##...........##....................#.............#........##....#...
............#............#..#....##...................#........#.#...#....................#.....#..........#.......#..#.............#....#.......#.#............#....#....#.......................#.#..................#...................#...........#..............#..##...#........#....#.#.....#........#....#.........#.#..#.#.....#.............#..........#........##...#...................#...............#.................##..............................................#......................................................................#.........#....................#.......................#...#............#.............#......#...........................#....#....................#.......#..................#...#.........#.....#.......................#.#.......#..#.......#.#...#..##...#.....#........................##..................................#...................#.#..............#.....#.............#..............#.............
.............##........#........#.#.....#...................#.....#........#...............#.......#.#............##.##...................##........#..#....................#..#.......#...................#......#..............#....#..................#.........................#...............##.........#..................#......#..............##..#............#..........#......#.........#....................#............#............#...#..................#...........................#.........................##.....#...#..#...#........................#........#......#.....................................#................................#....#.#..#............#........#..................#............#...............#...................#.......................#.......#............#......................#.....#.......................................#..##.......#..............#...........#.#..#..#...............#......................#..#.
.........#.........................#..#........#.##.....................#.#...#..#..............#..#...#............#................#...#.#....#..#..........#...#.............#....#......#............#...............#.........................................#.......###.....#.#....#...........................#.....#........##...#.......##........#.....#............#..................#......#...#.#......................#......................#.........#.....................#...#....................#.......#.#...............#...#......###..#..........................................##....##...#........#....#.................#..#...............#..#.......#....#.......................#.......#....#..............#.......#....#........##.......#..#...........................#.#........#.....##..#....#........#..................##.............................#.#.....#.............................#...................#..........#....#........
..................#...#.........................#.......#......#.......................#.....#...............#..............#..#..#............#......#......#...#.....#...........##.....#............##...............#...........................................................#...............#..............#......#.........#...##.#...............#.........#..#........#.......#.........#....#............#..............#.............#.....#...........#.......#....#.#..............#..#....................#...#......#....#.............#......#............................#......#..............................#...........................#.....................#.....................#............#......................#......#......#....#...........#........................#....#................................#.#.....................#......................#.....#........#...#....#.................#..#....................#...##...............#
................................#...................................#........#..#..#..............#...#..#........................#.#..#..#.....................##.....#..................#....................##...............#.........#...............#.......................#..................#.......#................#....#..#........................#.#.............................#..........................#..##.......#............#.#...............#.#....................#.#.#........................#....#.....#.......#..##......................#...........................#......#...##........#..................#...........#............#.........#..#..##..#...#.......................#...#.........................#.....................#.#.........#..#..........##.....#..........#...................#............................#............................#.....##..........#....##..................................#........#......##....
......#....#....#....#..................................##..................#...........#..................#................#....#...........................#...........#.................#...........................#..##..................#........#.............#.........................#........#..........#.........#.......##.#.........#....#.........#...........................#.........#..........#................#.........##.............#.#....................#................#...#...#.............##........#...#..............................#.....#..#......#........#.......##........#...#.#.................#.#.#..........#........#.........#............#...........#.#....#..........#........#..............#.#.....#..........##...............#...#..............#.........##.....................#..#...#.........#................#.#....#....#......................#..........................#...#..........#....................##......
#..................................#........#..#..#...........#....................................#..#.......#..#...#............#.........#..###...#.......#...............................#.#...................#..................................#..........................................#.........#...........#.#.........#..#.................#.#.....#..#.....#...#........#..................#.........#..............................#..#....................#.#.............#....##..........#.#.....#.......#...........#..................................#.##...................#..#........##...#.........#......#.....#...............#..........#...........#...#.................#...........#......#...........#...................#..................#.............#.......#.......#.....................#...#.......#....#..........#....#.....#...#...#.#.................#...........#...#....#........#.#.........#..........#........#...#.............
.#.....#.........#..#.#.#.......#................#.................#...............#.........#..........#........................#.........................#..#.#...#.#......#...#..................#.............................#.....#.##......#........#.......................#.....................................................................#...............#.............#............#..................#....#..........................................##.....#............#.............#....#.#......#.#................#......#..........................#.#.....#.....#........#.............#......................#.........#.............#..#.....#......##..#.......#....#.........#.......#................##............#..#...#..............................................#.......................#................................#..........................#.......#.#..........#............##.............#..#....#.............................
...........#.......#...#...............................#.#....#.............#................#.#....#....#...#...#................#........#.................#............#.................#.....................#..............#.........#...................##..#..#....#..........................#......#.#.................#.......#........#...#.....#......#.............#..............................#..#.#...#.......#...........................#........................................................#........................#.##..#.......#..#.......................................#................#...#........#...........#.......#..........#....................#............#.....#...##...........#.........................#........................##.....#...#..#.....#.#.........#........#.....#.........#..........#.......#.......................................#................#..#.......#.......#................#.............#..........
.......#....................#................#.......#...........................#..................................#........................#....#..#...#....#.....#.#.......................#.......................#.......#..........#..............#...........#..#........#..#...........................#........#.................#.......#...................##.........#...###....................................#...............#.....#...........#.............#.............#...#.....#..........#...#.#.......#...................................................#.........#.........#..#..............#.##.......#......#...#.......#.........#.......#.#.......#....##.........#.........#..##................#.#.........#....#.#........................#.............##.....##.......#...............#........................#..#......#.....#........#........#........#.......#.............#...#.#..............##......#.....#..#.....##.................
........................#......#.....#........#.#..#......................#.......#...............#..........#......#.........................#.............................................#.......................#....................#.#..#.#................................#....#..##......#.......#........#...#...........#.......#....#.......#............#.#.#........#.#..........#.............##..........##....#......#..............................#.......#...................#..................................#......#..#.....#.............#.............#..#.........#.........................#.#..#.#.#.....#......#.......#...#..................................#....#.............................#...............#....#..............#.#............................#...............#......#..............#...#.......#.........#............#..............#.........................#..#..#.##..........#...#........#.......#..#.#......#..........
.........#.........#........#.....#..#...#................#...................#...........#...#........#...#.........#..................................#.......#.#...................#..#........#..#.....#..##...............................#.................###......#.........#...#......#......................#.#...................#............#.............#...#...................#.....................#...#......#................................#.#...........##....#.............................#.#...#........................##........#..#.........#......#.........................................................#..#...........##.............#.....#..................#.............................................#..#...#............#......#.......................#..#..................#...........#....#.................................#.#.....##........#.#..#........................#.......#.................##...#..#..#..#.........#.....
...#.......................##...........#..........#........#..........................#..........#.#......................#..##...........#.......#.............#.............#..#....##.....#..................................###.........#................#............#............#.#........#.......#....................#.#...............#..............##.#..........................##..............#.................#................#.#.....#.....#.#......#.......#.#.................#......................#...............#..............#...................................##.............................#......#.......#.#................##.............#.##.....#..................................#.......##..#.......#...................#................................#........#..........#............#......#....#.##.....#...........#..#........................................#...............................................#.........#......
.......#................................................#.......#.....................................#...................#....#..........#..............#.#............#...........#.............#.#.......#.....#.................#.............#...........#.........................#..#..#..#....#...#.................#..................................#........#.................#.#....#...........#..............#........#..............................##.......#.......#..............#..#.....................................#..#..........#................#.##....#.#.#...........................#...........#...............................##......#...............##.................#...#....#........................#...#........#..#..#............#...#.........#........#...#.......#.#............#.....#.........#..###...............#............#...#.........#...#................#............#...#..#.#.#..............#.#..#..................
........#................................................#.......#......#.#...........................#.....#........#.......#..#.#....#...........#.........##............#.....#....#.......#..........##.#......................#..#..........#................#........#..........###................................#.............#........#.................#...............................#.................................#...#.....#.....#............###...#..........#...........#......#....#....#......#.................#......#..................##...#...#.............#.......#........#.#.......................#.......#.........#....#......#.................#.#................#.#.......#...........#..#.......................#..........#........#..#.............#.........#........#.....#........#......#..#............................#.....#..............#........#.......#.......#....................#.......#...#.......#...........#.....##.#
................#.........#...##......#............##......#..#..#.#.......................#......##.#.................#....................................#........#.....#....................#.#..#...........................#........#......##......#...................................................##.........#....#........#.#..........................................#.......#..........#.....#........................................#.....#............#.#................................................#..........................#..#.....#.......#...#.#.....##.........#.....#............#.............#....................#....#...............#.#...................#........#.....#.........#.............##..........#.............#...........#..............#...........#.........................................#.#.......#..........#...##.........#.#.#.#...#..#.....#...##..............#.#.#......#..#..#...........#.....#....#...........##.
..............................#...#............##..#.#................................#..........#.............................#.......##...##........##.#...............#...........#.#..............##..............#..#.....#..........#.##.........#......#..#..........#....#.............#.......#.........#.....#..#...........................#...#..#.....#..................#...#...........................##.....#...##.............#......................#...............#...#.......#.........#........#....................................#..#..........#.........................#....#.#...........#......#..#....#.........#...............#............................................................#.........#...#....................#..........#.#..#................##.............#...#....#.#..#...#.#...##............#.......#........#.......#...........................#...............#...##...##.......##....#.........##.....................
..#..........#................#...#..........................#..................#...........#................#.............#........#...............#.................#....#..#...#..........##.....#.........................#............##............................#.........#.............#................##..............#........#..........#..#...#.......#............#...#.....................#.#.#...............##.........#.........#.......#...#...........#................................#.....#...#................#...#....#.............#..........#.........#.........#.........#....##....#...................##.......#.............#..#.......#.............................#..#.....##.........#.........#........#.............#.....#....#..#.......#........#.....#.........#..#.....#........#......................#......#.................#..#......#..#..............#....#.#........................#.........#.###.#..........#.............
........#...#.....#....#....#........#.........#....##......#....#......#.........#..#..............#....#.......................#..#....#.................#......#........#.........#............#........................#......#.#..#........................#.......#.#..#..#................................#...........#...#.#...##........#...............#.......#....#............#................#........#.........................#........#..#................................#...........#.#..#........##.............#............................#...#.#....#...#...##.....#.........#.#.......#.............#....##........#.#......#..............................................#.........................#.......#.#....##......#.............................................#...#......#..........#................#........#.........#...#....#........#......................#.....................#...........#.#...#.......................#...........
....#..#..#.....#...............................#....#...........#..................................#..#..#...#..#...#..............##..#.......#.....................##.....##...........#...............##............#................#.......#....#....#.#.........#.......#..........#...#......#..#.#....#..##..............#......#...#.#........#.##..................#........#..............................#...#............................##.........#...................##..........................................................#........#...................#......#.#............................#............#..#.......#.........................#...#.#.............#...........#.............#....#..............#..#........#.......#........#......................#..............#...#.#......#....#...#....#.....#.#...............#....#.................#.........#..#.....#.............#.........#............#................#.#...#...#.........
#...#.........#...........#.........#.................#.##..#.......#.........................#..................##..................................................#...........#....................................#..........#.........#.........#...#.#...##....#............#...#.............#..................#...#....#................#..##....#.....#.................#.#......#...#.......#...#.....................#..#......#.##.##....#...#.........#...........#..#..................#..........#....#.....#..........#..............#...............#...................................#.......#....#......................##......#......#...#..#.........................#.........#..#..##....#.....#............#........#.............#.........#.........##......................#........#.....#............#.....##.........#...#..#..#.......##....................#.#...#..#.................#........#...............##..#...........................
.......##.........#................#.........#..........#....#..#...#...................................#..#..............#....#......................................#..#....................#...#..........#.......................................................#.............##..........................#...........#..............................#.........#...............#...................#.#.......#...#...................................#......#.#.........#..#....#..#.................#.......................#........#..........#.............#........#.........#..........#...#.............#..........................#.....#...#........#.............#..........#.......#.#...#......................#.......#...................#.............#......#...................#.................#........#...#...#..........##..#..........................#........#......#.....#.#.................................#..#...........#.......#.###..#........
...#...................#.........#....#.............#.....#........#..........##....##.................#...........#..............................##....................#.#......................#.......#.#...#..#....#.....##.#...#..........................#.#........................#.............#......#..........#....................##.....#.................#........................................#...#.................#..............#....#.....#....#.............#.#........#............#...#................#..#...............##.#...#.....#........#......#........#....##.#..........#..#......#................##.........#.......#......#....##.........#......#.........#.................#.............#.....#........#...........#......#..##...................#.....................##.................................#....##...................#................#...............................................#.................#...............
.......#............#...............................#...........#..........................#..#............#......#.#.........#.....#.......#..........#...........#....................#..#..#.....................#.#........#.#..........................##...#........#.................#...#............#.....................#........#...............#....#..#.......................................#.............#.....................#..##.................................................#..#..#...................#.#...............#......................#.........#.......#....#...#..............#.................#......................#..........................#.......................#....................##..................#..#...........................#..#..................................##.........#.#...................#...#..#.................#..#............#...........##.....#..#.....#................##.................##.....#....
#.#.....#....#...........##...............#......................#...............#.....#............##..................................##.....#..........................#.........................#...#.........................#.#..........#..#.............#.............#.#.#.........#...#......#...#......#.....................#...#.........#.............................##..........#.........#.......................................................................#..#......#.............#................#.#.........#.................................#..........#.#.....................................#..............#................#........#.....................#.............#.........#..#..................####.......................................#...#.....#...#......#..............#.................##.....#......#....................#............#.........##................#................#......................#....................
.#.........##......#....#....#.................#........#.....#.....................#.#..#..............#......##.......#.......#........................#...................#....#..........#..#........#..#.#............#..#..#.........#.#......#..............#..#.#..............#.....#....#......#................#......###.................#.....#..#............##..............#........#.........................##......#.......#.#...............#........#........................####...........##..#..........#..#...................................#.......#.#.#................##.....##.............#.......#...........#..................#....................#.#...........#......................................................#.....#.#............#.........#.#....#...........#..............#..........#..................#...........................#.#....#............#.........##..............#........#..........#..##...#.#...#............
....#.......##......#.............#.............................#.......#.#...................#...#......#......#..............................................................##.........#.#.......#...............................................#..........#.......................#....##....##.#....................#.......................#.......#.#......#........#.#....#..................#................#..#...#...............................#.....##...............#..#....................#.........................#.....#...........#..........#..............#...#...#......#.................................#...#...........#.#.............#................#...#...........#.......#.......................#.....#.....##...#.........#...#........#..................#......#...#.............#.##...#...#..........................#...........................#........#....#.....#..................................#....#.##...........##...#..####.
..#.......#......#.#..#...#...#........#......................#..#..........#.#..............#...#.............#...#.............................#..................#.#.#...............#......#..................##.........#..#.....#...#................................#..........##.......#..#.#...##......#...........................##....#.#...............#..#...........#.....#.....#...........#......##................#......#..#.#.#...#....#..#...........................#.................#.......................#...................#...#...#.........#..................#.#.....#.............#.............#.....#.##....................#..##................#...........#........#...#.............#...#.#.......#................#.....................#...#...........#.........#.......................#....#..........#.#......#.........#.........#...............##....#.#.................................#.........#.....#................#..#.....
............#.#....#.................#............#.........................#..#........#...#...#........#.........................................#......#...................................#.....................#...#.#...........#............#........#.............#.......#.........................#....#................#....#......#......#........#...#...#.............#............#..#..#.....#........#...#.............................#......#.......#..........#........................##................#...#......#.........................#.............................#.....#............................#..............................#...#..#...................#.....#.......#....#...#..............#.........#.............#..#..........................................#.......#....#......#............#.##....#.........#..#................#...#............................#.................#........#.#................................#...
......#.........................#.....#.#.........................#..........#...#..............................#.........#.......#...#.....................#..............##........#................#......#....#...........................#.......#................#.....##...........#..............#.......#....#............##..........#....#..#.##.##................#.#......................#...............#............#.......#...............#..#.......#................#.#...........................#....#..........#.....#...#.............................................................#..............#.......#......#..#.#......##.#................#....#.......................##.....#..#........#...#..........#.............#..........#............#.....................#..................................#.........#.#.............#...#...##...........#....#................#.........................#.........#.........#.#..#..#.............
.......#..#....#.#..#..#...........#......#....................#........#............#.......................................#......#......................................##..................#.#.................#.....................#..#.............#....#.........#....##.........#.......#..#...#.....#..........#.................#........#......................................#.........................##............#.....#...#.....#.#........#..#....#........#..........#....#..#.........#.##...#.....#..........................#....#......#............#..............#....#..#.........#...#..#.......................#..........#....................#..#.#.......#....................................#..............#................#...#..#...#.#.......#...........................#......#......................#.#...#.##...........#...#..................#.....................................#.....#........#........#...............#..........
..........................................................#.............#...#......#.....................##......#...........#....#.........................................#..#......#......................#..........#....#..............#...........#........................#...#...#......#.............#.......#..##........#..................#.........#..........................................#.......#........#................#.............#...#...#...............#................#...................##..#........................................#..........#......................#...#.....#....#..#........##................#.....#..............#........#..#.....................#.#............#..#.........................#....#..#..................#...........................#.#..............##........#.....#.#.##.....#.##..#.................#...#.......................#...#................#...............................................
....................................#....................................#..#..................#....#..........#.....#.................##................................##..........#...............##...#..............#..#....#.........#................#.#.....#....#...#...#..........##.......#.....#.......#........#.....#....................#.............#........#............#.#..#..#.#..#.....................#.......................#....#.#.....#.........#..#.#.###.............#.............##.............#......#....#...................#..#...#.#.#.....#......#.......#..........#............#....##.......................#.......#.............#.............#.........#.......#.##.......#........#..#...............#............#.......###....#...........#...........#...............##.............##..#................#......#....#.........................##........#.....#.......#.#.........#..#......#.......#......#....#.#........#...
.......#....#....#..#......#.......#...#.........#...............#...#..................................#....#...#...............##...#.....#.........#...............#..#...#................#.#....#.................#..............................#............#............#.........#.#..##......#.....#.................#..#...........#.......#.........#...#................#..#.................#........#.........##...#...#............#.....#......................#........#..................##...#..#..#......#.....#........#....#..##......#..........#.........#.#....#....#...........#.......##..............#................#..................................##......#...#.......#.............#...........#.....................#..#...##...#.....#.....#.......#..........#...#........#.....................#..#....##..#....#...................#.#...##......#...............#.....#.........#.........#.......#......#........#...#...#........#....
.....#.....#....#...........#...#..............###...##......#.....#...................#.........#........#..#..........#..#.....................#..........#...........................#............##....#........#...#...............#.#.....................#....#........#...#.................#.#.....#........................#......##........#...............#..#...........#..#..#...................#...#............#.#...............#.......................................#..........#.....#.....#....##..#...#.#.#...#.#.#........##.....#..#..........#...............##......................#............#.....#...#.............#....#........##...........#.......#.......#...#.#...............................#.................#.....#...................#....................#..................................#..................#.......#......#.....#.....#...................................................#.....#..............#..#.....#........
........#..#..................................#..........#..........#...##.........#....#.................................#.........#...........#....................#..#.....#.............................#.#........#................#..........#......#...................#...#..#..#................#.......................##.#...#...#........................#....................#.#.........................#...........................#.#..#.................#....##...#............................###..................###.....#...........#............#..#..#................................................##......#..#.........#........#.........................#.#...........#.#.#......#..#...#......#....#......#....#...#..#.....................................#........#...##......................#.......................#................................#...#......###.................#...........................##.............#................
............#................#.................#........#....#......#..#....#......#....................#..#.#....#..#....#........##.............#........#.......#..................#.......#...........................#...............#.....................#...##.............#...........................................#.................#..#............#.....#.......................#.............................................................................................................##.....#.##...................................#...#...#....#.....#..............#....#.......#...................#..........#.......#...#..........##..#.....................#....#...............#................#.........................#.....#.#........#...#.#.....##.....#.....#......................#...........#.#.......................................#....................#..........#...#...#.............#..#.#...#.............#.....#..............
.............#........#...#...........#.#......#...#.............................##.....##.................................#.##....##..#.................#...........#........#............................#.#........................#..#...............#...............##....#..................#...............#................................#....#.#.................................#........#.....#.........................#.........#.#.#...............#...................................##.#...#....#....#...........#.#....#.#...#............#..................#....................#......#.....#...##...#...............................#....#.......#........#.#........#............#........#....#..........#.............#.#......#...........##...........#.............#.................#..........#................#........................#...#...........##.....##.................#.............##.........##..............#.....#........##......#
....#.....#..#...#.........#..#......#...............##......###..............#.#.........##...................#....#.#...........#...#......#.....#.#.................#......#.....#..........#....#.....#.......##...........#.......#.................#.......#..................#............#.....#....##...#.....................#....#...............#...........##...#......#........#..#...#.......#.........................................#..............#..........#.................##..................#....#...........#.............#.......#.......#.............#...#.#..#......................#........#..#...#............#...#.#........##..............#.......................................#..........#........#.........##..............#..............#........#...........##....#..#..#.....#.......##..#.#....................##................................................#..#...................#..........#..#.#.##........................
........#....#..#..#...........................#........#...........#.#.....##..#.........#...#..........................................#.....................#..#...........##.........#...................#..#...........#...#........................#.....#...#...................#......................#.........................#..........#........#..........................#.....................#...#........................#..................#.......#.............#............##......##...#.....#............#.......#.......#.............#..#...................#...#................#.....#....................................#..............##...........#......#..##.................#....##.......#........................#.......#............#.............#.#..#.......#......#...................###..#.................#............#........#....##...........#..........#................................#........#.............##...#.....#.#..#
.......#..................................#....#.............#.......#.....................................................#...................#.....#...........#...................##..............................#..#...#........#...#.........##..............#.##.........................#.#...#.......#.............................................#........#........#..........#.......#........................#..#..........#.........................................#......#...........#.....#........................#...........#...................#.............#.............#.....#..#.............................#....#.................#.........#...................#...#......................#.#.............#.#....#........#.................#..........#...........#.................................#.#..............#.............#.#....#............................#......##.................#......#.........#..........#......#................
......#................#......#..#......#..........#.............#..#......#...#.#..........#..#....#.#.#..##..........................#.................#.#........#......#..##.#...#...................#.#..............#............##....#..#.#.....................#................#...#......#.....................#...#.........#......#....#..........................#.#.................................##...#..................#...#........#...............#.......................................#..#.....#.........................#.#................##....#..#.....#............#.....#............#..........#.#.#.................................##..........................#....#......................##....#.....##....#.........##......#.#...........................#........#......................#......#..........#..#....#.......#......#...#.............#.............#...........#.....................................#.......#..#............
..#....#.........#.............##......#...........#............#..#...................#..#...#.....#........#...#..#.....#.......#..............#.............#....#..#.........#......#.....#..............##......#.........................#..............##............#............#...#...................#.......#......#..#....................................#...#..#...#.#..#........................#..........#..#......#........................#..........................................#..................................#............#......##....#...............................#..#..........#......#....................#...........#........#..#...............................#.............#.......#.........................#..#.#..#....................#.......#....#.....#..........#........................................#.##..#...........#.........#............#..............................#.....#......#........................#.......
...................................#.........................#....................................................................#.......#.#...........#.................................................#..............#..............#..#...#...#...............#..........#..#.....#..#.........#.........#....#.....#.......##.#..#........................#..........#.................................#....................#.....#....#.....#....#......#............##...#........##.....#...................#................#.............#...............#......#...............................#.#......#....#............##..#.#................#....#...#........#......#.#.................##...#.....#..#..........#...........#...##.......#...#..........#.......#...........#..#....#...........#.......................#.......#............#................#..............#.##...#.............#.....#...............#................##........#............
......#.........................................#...............#...................#...........#...................#.....#..##.................#.....................#........#...................#..........#.......#.#..#...........#.#........#.....................#..............#..#......................................#.##..................#..............#.......#....................#........#..............#................#..........................#.#..#.....##.............................#...................#..#.........##...#.........#..#...............#.............................................................................#.....#..##...#......#........................#............#...........##...#..........#.....................#............................#..........#.#.#...##.#.#.........#....................#..........#.#...#............#.#.....#.............###..........................#..#....#.......#..............
#.#....#...............#...................#.........##........#..................................................................#..#....................#.....#......#............#..#...........#.......#...................#.......#.#........#................#.....#......#.................##.#........................#...........#....#........#.....#...........#...#..............#......#...........#..#......................###................#......#.................#.....................##..#......#.#......................#.........................#.......#...............................##.#...........#....#....#................................................#..#..........#.#....#.............#.........#...............#........#......#.....#......#.#...#.....#............#........#........#...........#.....#............#...#......#......#..........#.............#.#...........#...............#...#....#.........#....#.................
.................#..........##..#...........#....#...#...........#...........#...#............#.........................#.....#..#..........................#.....#.............#.....#.............#.......#.......#.....................##...#......#....................................#...........#.........#..........##.#....#..#.#..#.###...#...............................................#.......##.#..###...........##.......#.......................#............#...........#.#..........#......................##....................#...........#.#...................................#.............#.......................#...#......#......................#..#........#..........#.......#..#......##....#....#...............#...........#........#..................#...#.................#.......##....................#............................................#...........#...........##..................#......#.#.....#..#.........................
..#................#.........#.......#........#...##....##.........#.....#......#.#....#...........##.............................................#..#..............................#.......#...........................#......##......#.......#.####...#.............#......##............#..............................#...................##......................#..............#.......................#.......#.............#....................#...#..............................#..............#................#...........#.#.............#.............#...........#..................#......##...........#..............#.....#..........#.................................#.......#.......................#..#.............................#..............#....................................#.....................#...........#.....#....................#..............#.......#..#...........#..#............#...#.........#..........#.#...#.#...#..........#
...#...........##..#..#............................#.#.##......#.................##...........................................#...#........#........#.........#...............#.....................#.......#...............#......#.................#.......#.........#......................................#............#.....#...................#.....................##.....#..#....#...#.......#................#.........#.............................#........#..............#.................#..............#.........................................##...#..#..#....#........#.............................#.......##...............................#...#..........#.#........#.........#.#.......#.......#.......#.................................#.#.......#.........##.....#............................#.................#.................#...............#...#........#...#....#..........#....##......#....#........#..##....#..........#.........#...#....#.
...................#..#.....##..##.#.............................#.................#...##.............#..........#..#..........#........................#.#....................#............#..............................................#.................#.......#.#.............#.#....................................................................#..#.........#........#.#.....#........#..#...................#...#..........................#....#......#.#...........#...........#.......#.........#.........#......................#...#........#.....#.................#..............#.............................#............#...#.........#......................#......................#....#.....#..............#..........##..#........#.....................#.........................#.....................#.......##..............#...#..#...#....#...................#...............#.........................##................#.##..................
..#...................#............##.....#...........##....#..#.............#...............................#..........#...#................#............................#.........#...................##.............#........#..........................#....#.....#.....#..................#.............................#................................#.............#....................#.............................##..............#.........#.....#......................#..................#.#..........#.....................#....#...#.................................................#.................#..........##......#....#...#.......................................#.......#...........#...................#................#....#..........#..#...........##.....#.............#..............#..#.#...............#....#.....#...............#..........#..........#....#....#................#...............................#....#....#...#.....#....
..............#..............#..............................#...#...........#.....#.#..#.......................#........#..#..#.#........................#.#............#..........##..........#...#................#..............#...............................#...........###............#...#................#...#...............#........#......#.........................#............................#...................#..................#..#..............#............#..................#.#...........#....................................#...............##......#...#.................#....#....#..#.....................#..........................##............................#........#.....#.........#...........#...#....................#................#....#..#....................................##.#.............##..##.....#...................................#..................#..#..#.......#....#.....#........##.#.#....#.#.........#.......
.......#........#....................................#..........#.........#.........................#.......#..#.............##.......#.#.........#.....#.......#.........................##.........#.......#.........#....#.............#.....#....#.........#........#.....................###..................#.......#......................#.....#...............##......#...........#.........##......#....#..................................#............##......#................................#...#......#.......#.............#..#...................#.......#...................#...#...............#...........#..................................#........##.#......#...#...........#.................................................##..........#.......#.#...........#.........##........#................#....#...........#..............................................................#.......#....#.......................#..........##.....#.........#..
.####..........#.#..........#.......................#...............#........#............#...................#..........#..#.....#....#....................#............#........#.........................#......#.#....#...#........#...........#...#.............................##..#..#....#......#..........#...#.........#........#......#...................#.#.#............#..............#......#...#......................................#...#.........#......#.......#...#..#..............#......#....#.............#........#..#...............#..............#..#................#.#.#..............#............#..............#......#........#............#................#...#.#.....#...#.#.........................#.............#.....#...............................#....##..........................#............#...........#......#.......#.#......#.................#.....#............#..#......#...................#.#.............#.....#.#.#...
..#.......##.#.................................#......#.#...#......#......#..............##...................................#...................##...........#.....#...........#......................#...........#................##........#.........#.......#.....##..................................#............#...#......................#....#...#..............#..#..#....#..##.............#....#....#.#.............#...........#.#......#.........#..#........#...#..............#....#..#....#......#..##..................###..................###............#...............................#...##........#...#................#........#.......................#....#....#......#......#...#.........#...#....................#..#.#............#.................#........#....................#.........................#......#.........#..................#.............#.#...........................#......#.#................#.#..............#..#......
...................##.........#...........................#.#..#..............................#.....##..#...#.........#........#..................#...........#................................#.#.#..........#.#.....#..#......#.......................................#...#.#..........#..........##............#.............#....#.....#................#........#.......#.......#..........#..........#..........#.............#.#.....#....................#...................#...........#...##..........................................#........................#.............#......................................#.......#..#...#...#.......#..............##..........#...#.........##.........#....#......#....#................#.....#.................#....#.#........#..........#...............#.................##.......#....#...#..#..#..................#....#....#.........##.................................#...........................................
.....................#..........##..#...#..##..#...........#.#.......#..........#..##......#............#.......#...............#...........................#.....##..............#.#........#.........#..............................#.....#........#............#.....................#....#..#..............#.....#...............#........##..#........#............................#...........#........#...#.....#...##..............#....#.........#....#............#..........#..#.....#...#.#...#..........#.....#..................#................#...#......#...#............................#.#...##...#............#.......#........#............................#...........#...#............#............#...#..#..........#.#................................##...#..........#.#..........#.....#.....#..#..#..#......#......#..#.........#.........#.#...#......#...............................#...#......#....................#.#....#...#...#......#...#....
................##........................................#................................#...................#.............#.......................#...............#..#.......##..#....#..............#..........#......#....#...........#.........#.#....#......#...................#...#..........#.........#.#.............#..............#..#.....##.......#......#..........................#....#..............#......#.....................#............#........#........#.........#.....#.#...#..#........#......#.#......................#........#.............#..................#.#......#......#..#...#....#....#...........#....#....#....##..............#......................#...#....#....#..................#.........#.#.....#....#..#..#...................#...#...#...........#..#...............#.........#.......#..........#....................................#...........................................#.............#.............#........#....
..#.....#........#.......#..#.................#....#.#..#............#............................#....#.#......#.#........#................#.......#..#.........#...#.................#..............................#..#...#.##..#.###...............................#.........#.......#.#.....#..................#..............#.............#.......#.#.........#.......#.#..................#...#...........##..........................#.......#....#.................#...#......#........#...#...#.............#.........................##....#.........#...........#...........#....#.#..............................#...#................#.###....#..#................#......#......#....#.........#.....#....#....#....#......##...#................###.........................................#..#......#......#....#....#...###...#..#...................#............##..................#......#.................#............#......#......##....................
#......#...#.#.............#..................#....#.#.......#....................#..#.......#....#.....................#.......................#..#..........#....................................##...#.......#..#....#..#.#...#.#................#.......................#........#...#.......................#...................#.............#..................#.#......#.#...........#......................#..#..............#.......#..............#..............................................#....#.........#......#.#..............#....#..........................#............................#.................................#........#.........#...............#......#................#......##...#...#.....#..#.........#.....#................#...............................#..................#.........#........#.#....#......#.............#......#...............................#........#....#..#............#................#..#..#.............
......................#....#........................##....................#........................#..#...#...#...##................#..................................................#.....###.................................................................###............#...........#............#......#.......#...........#.....#..#.........#.............#......................#......#...................#...#...................#...#....#....#...#............#..........#.......#.....................#..................#.#.##.......###...#.........................#............#..........#................................#..........#..........#.##........................#...#......................#.............#...#..................#.#.........#.........##.....................#.....#...#....#........#...#..................#........#...#..#..................#.....#............##....#...##.............#.#.....#.................#...........
......#.#......#...................#...................#..........................##....#.................#..................#..................................................#.#.......#.....#.........................................#...........#....##...............................................................................................#............#...#......#.......#.....####...........#..................#.....#..........#...#......#.#..#...........#...#......#....#..........#......................................#......#.........#.......#...............#...#......#..#.#.#.#...#...#.....................#........#........................#...#......................................................#....#............................###........#.#..............#..............#.#..#............#.................#..........................#....#..#......#............................#............#..##......#......#..#.............
...............#..#.........#.........#..##......#..#....#.............#..................#.###.............#..................#.......#...........#...........#.....#..#.#.#.....#...#....#............#...#..........................#..........#.....#..#..#.....##.....................#..#.#..#........#.................##......#.........#......#.........#..........................#..........#....#........................#.#..#.............#........#.#...............#...#..........#............................#..#......................................##...##..........#...#...#.........##..#.........................................#..#............#.........#...........##............#....#...........#...#.............##.#..............................#....#.......#...#.#............#...........#...#..#...........#.#......#..#.......#..........#.........##.........#...#...#..........#.............#.#............#..........#...#.##..........
............#...#...............................#.......#............#.#.#..........#....................#..............#..........#...#.#.#.........#.#................#.........................#.....#.......#........#....#.....#...........#.....#...............................#...#.........#......##..........#.#..........#........................................#.#.......#........................#..............................#..#...#.....................#......#.........#................#...#....#...#......##......#..#.................##...........#.............................#...........#....#..#...#.....................#.........#.....................................#.........................#............................#.#..##.......#........#......#....#.........................................#..#......................#.............#.............#..#....#..............................................#......#..........#.......
..............................#..........#..##...#..#.......#........#...#....#.............#.................#..###...........#....#.#.....#.............#......................#.........#...#..............#..........#.............#............#.........#...................................#.........##....#...........#...#.........................#.#...###................##..................#.#.......................................#...............#......#.......#.............#..#.....................#.............................#..........#....#......#....#..............#...............#....#.................#..#......#............#.........................#................#........................#....##............#......................#........#....#..#.#..#....#..#................#............#..........................#........#.......................#.......#.............#..................#.#..#.#.............#...#...#.#....
......###....#...#........#..#..........#.............................#.......#....#............#.......#.............#..#................##..............#........................................#...##..#..##....#..........#..............................##.#.....#..##.#............#.......#............#.....#....................#.#...........#....#.........##..................#.....#...................#.#...#.....#.......................#.....#...........#.........................#..#.............#....#.......#.#..........#................#..#................................#.....#.........#....#..........#.....###.....##..............................#.................................#..#........................#.....#...............................#.#.....#....#.........#....#...#...........#....#..........#.#..#..#.........................#..#..................#....................#.......#.#..#......#.#..........#.....#....#......
.......#..............##........#..............#.....#........#..#.#........#.#...............#...........#..#....................#...#......................#....#..#..........................#........#...#...##.........#...........##..............................#......#...#.....................#.............................#...#..........#......#..#............##......................................#........#......#..........#..#........#...............................#...........###..........#.................................#........#.#.#..#........................#...#.........#........................#.........................#............#....#.#...............##...#....#.#....#....#........#...............###.....................#....#..........#....#.....#..........#.........#...#...............##.....#...................#......#....#........................##...#.#.#...........##......#.........#.......#....##.......#.....
...........#...........#.#...##...........#....................#.......................#................#.......#.............#.#.#........#...........#..##.#.................................#.............#......##.....#......#....#.................#......#..........#..#.#................................................##................................#.....#.#...#..................#..........#....#.............#...................#......................................#........#......###.........................#...............................#.............#.....#.............#....................#...............##....................#................#..#.......##..#..#....#.........#....#.....................................#...#..#..........#.....#..................................#..#..#..................#.................#......#.......##.......#....#............................#.#..............#............#.#...........#.....
.....................................#...........#.....................................#....#........#..#.............#..#....#..............#......................#...............#...........#......#...................#.##........................###.#...........#....#........#...........#.....#..#..........#............#....................#..#..#...............#................#...........#..............#............#..#.....#.....#..........#...........#...............#.#..#.....#.#..............##......#...........#........#.........#....................#....#..........##.....#..#......................................#........#........#..#..#.....#.................#........#......#.....#.......#..#........#..#.............#......#...................#........................#..............#.#...##.....##.........#..............................#........#......#.......#....#...#.#......................#................#............#
........#..##.....................#.........#...#........#...........................................................#....#..........###......................#..#........#....##.#...........................#.........#................#.#.#..........#....#..............#.......##................#........................#..............#......#...#..................#.#................#..#.......#.................#...#..........................#.#.........................#...................#.....#......#........................#...#....#..#................................#.....#....#................#..#...#.#.......#.......................#.......#....#..........#.........#....#.............#................#.............##....#.#.........#.##..#...#.#.................##...#...............#.................#.........#...#..#....#...........................#........#...........#....#.......#....#.....#.........#...........#...............
..............#......#.#.....#............#......##.#......##.##..#...........#.#............#........#.............................#..........................##......................#...#.........#.#...#......................................................#..##......#...........#......#.......................#...........##....#...#............#.............#.........#........#........#...#...........#..#...#......#...............................#.#..#..#...........................#..#..#..........#..........#..........#.#...........................#........#........#.........................##....#......##....##.#..........#...............#...............#......................#...#...#............#...#.........................#.....................#.#.#....##.........##.....#..#....................................#.................................#.#......#..#................#..#..#..........#...................#..................
.................#.#..........#.......#.#........#.................#.....#............#.....#........#...............#.#....#...........##...............#.........#.....#...................#......#.......#....#....#..........................................##...........#..#.#...#...#...#............#...............#......#...#.....................#........#...............................#..........#..#..#..................................#.....#.....#.................###...#......#............................#..#..........#......................#....#.#.........#.##..##.#................................#....................................#.........#.....##............#.#.............#......................##......#...............................#........#...............................#...................#....................#.....................#.......#.................##...#....................#...........#..............#.......
#..#........#.#................................#........#.....#....#...#................#..#.......................#.....#................#....#......#..#...............#...................#............#..........#..................#.#..##................................#.#.......##........#..................#........#.......#...........#..#..........#...........#........#.##........................................#.#..........#........##...........#...........#........#...........#.....................#..#...........................#...#.......#..#......#.#...#........#....#..................................#....................#......#..............#............#.........#.......##........#.................##.....................#.......#...#..........#.....#....#............................#..#.........#....##........#.........................#.......#...#...#...........##..........................#..#................#............
...#....#....#....#..........#..........#......##........................#................................#..#.............#...............###.....................#......#..............#...........#................##....#.....##..........#......#.............#......#.....#........................#.....#......##.....#.#........................#.......#..#..#................#..........................#...............#...###...................................#...........#.......#......#........#..#..#..#.........#.....##...#............#..##...#.#........#...#..........#.....#..#.#.#.......##................#....##....#..................#......##...#.....................#............#...........#....#........##.......................#.................#.#.......#.......##................#...#....#.#.........#..........#........................#..............................#...................##......................##...................
.#............................#..#.........#.......#...#.....................................#.#.#......##..........#............................#.....#.......#..##.#.......................................#....##..............##...#...#...#...........#..........#......................................#..#...#............................................................##.##.#........#......##....#...............#................................#.........#...............#....#.......#..#......##.#...#....##.........................##.....##.#.............##...........#...#...#.....#......#.......##.............#...#.............#.............#.........#...............#.................#...##.#.....#...#...#......#..........#........#.....#...........#............#.............#...........................#................#............#........##..................#.#....#...#...............#..#.....................#.............#...#.#..#
....#..........#..................#..........#..#.........##....#...........#.............#.....#.......#...#..#....................#.#..#........##.......#..#...#...#......##.......#.#.........#............##.....................................#..........................................##..#..#............#.....#..#.........#.##..#....#...........#.................#...#......#..#.......#...........#..........#.......#........#......#.............#.........#.............#.................#.....#.....................#..#............#.....................#........#..#.........#................................................#...............#.....................#.#.....#....................#...##..##.......#........#.....#..............................#....#..#......#......................................#...#.........#................#.#..##.....#.................#..................#.................#......#..#.........##...#........
.....#....#..#......#......#...#.......#.#.#.......#..............#...........#.#......#......#...###....#.#..........#.....................................#.......#...............................#.....#....................##.......#.#..###........................#................#......##.#.#..#..........#.#.#..............#...#..........#...##.....#.#.........#...........#...#.....#................#.............#.....#............#.........##.......#..................................................##.#...#.#..................#....................#......#......#..........#....#.........#..........#............#..#......#.................#....#..................#...........#...................................#.#...#.#..#........#...##.......#............................................#...................#...................#.........#.......#....#...#....#...#.....#.......#.........#...................#......................#......
....#.............#.............#....##....#........##.........#.............#.....#..................................#.....#.........................................##......................#.#.#.............#.................#.....................................#..............#.......................#.................#........##.....#.#.........#.....##..#.....#..#.....................................#....................#.#...........#..#...........................##..........#.........................#.#...##......##.#...............#........##..#............#...#......#....#..#......#...............#...#........#..#...........#...#.........................###...#..............##........#...............#.......................#.......#..........#.....#.........#.............#..#.......#.................................#.....#...........................#.....#....#.................#.#......#.....................#..#.......#.......
.......#...#....#................#..#.#......#.##......#..................#....................#..............##..#...#....#.#.#.#.................#........#....#.#.#..............#....#.........#.....................#......................#.#.....#...............#............#...........#.#.........##.....#.#............#.#......................#....................#......................#....#...#..................#...........#.........#..###......................#.....#....#..#........#.......#........#......................#......#...#................#...#...................#............#.#.#...#....#..#...#.#.#...#.....#.......#....................#..........#..............................#.........#.#....................#..#.###......#........##.#...................#..#..........................#..............................###.......................#..........................#....#..........#............##.........#......#...
....................#............#.#.....#.....#...................#...................#.....#..#....#.............#...............#...........#...................#......#........#..........#........#..#......................#.#...#.....................#..##.....#........................#...#........................#...#.#...#..........##..#..#............#.............#.................#........#...............#........#.........#.....#.......#........#....#....#........##...................#...#......#..................#..............................#...................##........#........#...........#...........#..#....#.#.#..........#....................#......#....#.......##..........#......#..#...#..#............#..............#............................#...#....#........#.........#....#..............#..................................#................#.#........##........#...............#....#................#....#......#....
...................................#...#...............#....#...................#........#...................#.......#....#.............#.....#...............................#.#.#......................#..#.#.........#.##.............#.............#.#...#.....#.......#.....#..........#......#......#..........#......##.......#..#..#.......#.......#............#......................#........#.......................#.............................#.#..........................#.................#.......#.............#............#...............#.#....#........###..#................#........#........#......#....#.#.................#.##.#.........................................#.#..##...........#......#...........##..........#......#...#....................#.....###.......#.........#......................#........................#.................#....#..........#....##.....................#............#................................#....
..........................#..#............#..............................##........#.#.#......#.......#............#......................#........##.........#......................................#...........................#.#.......#...#..............#.#............................................#........................#................#.......#...#........#..........................#.......#..........................#.............................................................#..#....#.........#...............#.............#..#...#.#..#...#...............#................#....#....#...................#.#..#............#..#.....#...........#.#.................#...............#...#............#...........#......#..#.#..#.......##......#..........#....#...........#..........#...#..........#..........#.......##.....#..........#.......#........#...#.......#....#.#.........................#......#...........#......................#.
........#................##......#.#......#.#...........##......#.....#..#..............#.....#.......................#.....###..................#.....................#.....#.....#.....#.......#...........#.................#.....#.......................#..#.............#...#..#.........##...#...................#...........#.....#..#................##.....#....##..............#...........#....#...#.......#.#...#....#......#.#....#................................##.............................#.............................#................#...#.#............#.....##..#....#........#..........#........#...........#.#......#........#.............#........#.....#.................###......................#....#..#.......#...............#.....#..................................#........#.........#.....#.......#...............................#.....#..........#..##.#...................#...............#......#...........#..#.........#......#..
#...................#...#........#.................................#...#.....##.#...........#.#.#...........................#.#.........#...........#........#..................#...........................#...........#..#........#......#.......................#.........#.................#.........#....#........................#..............................#.................#..#.....#....................#..#.....#.........#.......#....#...............#...#..#........#.............#....#.............................#................#..........................#..#................#.#...................#...................#............#..#..................................#...............#.......#.........................................#..................#.............#.......#.##.........................#.#..............#........................#......##..........#.#.........#..........................#.................#................
...##.......##........#................#........#.......#.....#.......................#.....................................#.........#.##..#...........#...................#.....#............................#.........#...#..........#.....#...#.....#.......#...............#.....##..#.............#.#.....................#..........#.........##........#.......#.......#..#..........#...............##.............#.........#..........#.................#........#..........#.........................................#....................#...#.........#...................#..........#..#..................#..#...........#.#.....#.#......#...........#..........##.#.........#...........#...........#.......#..#...#........###...#.......#.#.#....#.#......#..##....................#............#..#.............#........#..............#..............#......#.......#......#.........#.#....#.........#.............#.#.....#...........#...........#........
................#..#............#.....#...........#..#..............#..#..............#..........................##.#...#..............##.....................#.#...................................................#....................#..#..#..........#...#.#..##..#...#.#..............#........#...#.....................#..........#.#......#..........................##...........#.....................#.............#..#.......................#.#.#..................#.......#............#...#....#....................#..........#...#......#...........#.....#.......#...#...................................#..#.....#................#........#..................#....................................................................#......#....#..................................#...........#.....#..............#..#.........#...#..................#.....#........##.....#.................#.#.....#...#.#................#....#..#.............#...#......
..........#.............#.................#.....#.#.#.....................#...#.#................................#.....#................................#......#.........#......##......#........#..##.........#...........................##...........#.........#................#....................#......#...#..#.............................#........#.......#...................#...............#...#..#..#..#........................##......#.#..........................................#.#....#...##......##...#....#..#.##....................................#....#......#..........#.....#.............................#..#......#..#............#.............#......................#............................##.......#....#.....#.#.............#...................................##.#.....#..#...................#..#......#....#.........#.#......#...#..#............................#..........................#..........................#......#....
.....#.......##.........##....#.........#.......................#...#........#....#...#..#.............#..#.....##..##........#................#.......................#..............................#.......................#.........#.................#..........#.......#...............#.................................#...............#..#....#...#......................#....###.......................#......#........#................##...#...#...#....................................##..............#..........#...................................#........#.....#...............#....#.......#....#......#..............#..................#..........#........##........#.........#.......................#...#....................#........#.....#.........................##..#.#............#..............#.#...#...#........#.#.....##........#..#....#..............#...............#....#.......#..##.....#....#..............................#..........
..#............#...........#......#...#..#..............#..............#.#..........................#....#....#...........#......#..........#............................##...........#.#...#.###.............#............#..........#...................#.....#........###..#...............................#.....#.........................#.....#.#..#........#...................#..#.....#.....#.......#.......#...........#....................................#..#..................#......#...#......................#........###...............................#......#.#..#................................#.................#...##..................................#..#.......#............#....#..#.#.........#.#.#.#........#....#......#....................................................#.............#..........#....#....#......#..#....#..............................................#...#..##..........................##...#.....................#..#....
........#.............#...................#.............#.........#...##................###..........#...##.......#.................#...#.#..............#..................#.....#.#.....#.....#........#..................#..........#...#.....#..........................#.#.###.....#.....#..........................#................#........#........#...................#..#...........#.#..................#.......##...#....#............#.....................................#......................#......#..............#....#.......................................................#.........#.....#..##.....#..#.........................#...................#.#.....................................#.................................#............##...........#....#.##........#.#......................#...#.....#......#..........#..........................#.........##.....##...........#..................#.......#.......#.#.#.........#..........#.....
.................#.##.........#..........##.......................#.#...#.......#....................................#..#....#.............#.....................................#....................#......................................#.......#.#.......#.......#...#..........#.....##...#..................................#..#...#..#...#...#.....#.........................#...........#.................................#.#.........#........#..................#...#..#....#...##...............#.............#.............#.......#..#..#.#..#..............#.......#...........#..##.............#...#......................##...##.....#...#..............#................##.........................................#......#.#.#......##....................#..#...........................#.....#..........#....#........................#..#.................#....#.......#...#.........#..........................#.....###...........#..##..#...............
.................#.....#...........##.....#.#....#.#.....#.................#....#........#....#.........#....#.......................#...#.....#..#........#..........#....#.................................................#...................#.....#....#..#..##.#.....#..#...........................#......#.....#.....#...#.....#....................#.....................#............................#...........#................#.................#.........#.....................#......#....#...#.............#.......................#...............#..........##..#........##..#........#.#.....#.#........#...#............#...............................##...............#..##...................................#......#...#...........#.......#...............##...............#...........##..#...........#.............#..#.#..#...........#..............................#....##...#....#..#...##...........#......##...#.....#...............#..........
..#..............#...#...............##...#.........#..#.#....................#.......####..............#..#....###...............#...#..##..........##.#..........................#......#......#...............................#..#...........................#..#...#................##........#..............#....#............#..................#......#............#......#.#....#.......................#.#.......##..........#.........#................................##....#....#.........#.............#....#.......#...................................................#........#....#.....#.....#......#......#....#..........#.....#.................##......................#.....#........#......##.....#.................##...........#...........#.......#....#....#.....#....#..............................##......#......##...#.........#.............................##.......#..........#......................#...##....#..................#.#...........
...#............#....................#..............................#..#..#..................#....#........................#.#......#..........#...........#........#.....#.#...................................#...................#..................#.......#...............#...#............#..................................#..................#..........#.................................#............#.....#.............#.............#...#.............................#.....#........#................#........#..........................................................#..............#.........#.....#...........................#..#.............#.......#.............#.......#.......#.........#........#................................#....................#....................#.......#.......#.#....#.....#.............#.#...#..#.#....#....###.......##.#..................#............#....#.........#....#........#.....#.................#.#......
....#...#................#..#..................#.....#...........#.....#..#.......#......................#.......#.....##....#......................#...#..........#.#.##..........#...........#....#...................#...........#..............#.#.............##.........#....#.....#.........................................#.................#.............#..#..#...#.......................................#...#.......................#................#.......#..............................#.............#.....##......#..#............#.............#..#..#.........##........#........#.....##..............#......#.......................##........#.........................#..................................#..#.........#.............#...................................#..................#.....#..##..#........#.#....#.......#.#...........#..............................#..............#...................................#.........#.#.........#...
.#.......#...#.......#................#........#.#.......#.....##........#........#...#....#...........................#............###........#.....#..........#..............#..#...#.......#...##...............#.......#.................##.................................#.....#...............#..#.........#............##...#.#.....................#..........#......#......................#.......................................................#.....#.......#.............................#..#........#.#......#.......#.#...........#........#...............#.............#.......#......#.......#.#.................#..................#.....#...#.......#...#....#..............#....#.#..............#.....#.#...#..#...#....#............#...................#.........#.#.##.............#.....#.....#.........#.............................................#.....................................#..#..#.............#..........................#.....#.#.
......#........##...#........#..#.....#.........#......#..............#......................#......#................................#.........#..............#...#...#...##.............................#...................................#.#.......#.#...#..........#..........#.##..........................................##.#.#......#...#.......#.................#......#..#................#...............#..##..............#.......#.......#.#....#..#.#....#.......................#........#...#..#........................#...............#.......#..#...............#......#........##.#...#..............#......#.......................#.#.....#................................................#......#...........................#...#.................#.#.............#....#.......................#....#.............#................#...........#...........#....................#......#............................#.....................##............
...............#.....................#...#..............#...##.#.#.#.................#...#.#.......#..#..........#..........#....#....#.......................#.#...................#................#.......................#...#......#.....#..............#......#......#.........................#...#..........#........................#.......#...........###.........#......#.........#.................#......#.......##.#...#.......#.................#.......#......#........#........##.......................#...#...................#..#................#..................................................#................#.................#.........#..#..........#.#..........#........#.......#............#................................#........#...........#......#...#.#.....#................#............#....##......###.....................#...#...................#..#.........................#............#............#.......#.......#........
..........#..................................................#........#............#...........#.........................#...........................#...........#............................#...........................#.................#.#................#....#.........................#.......##..#.......................#...................#.......#......#........#..................#.............#.#............#.....#...............#.....................#.........#...................#...................#..##.#.....#...................#...#..#..................................#..#.....#...........#....#...................#....#..................................#...#...#.#.............................................#.#..#..............#.........#.....#.#...............#...#....##.....#...............#.........###........#.....#..#...#.#.................................#..................##..........#.........#.......#.....#....#..#...
.....#..#.............#....#..........#......#....#........#....#..#..#.#......#...................#................................#.#.........#...#......#............#...........#.............##.....#...............#......#.............#......#...#..............#..#.#...#...........#......#....#................#........#......#........................#.......#........#....#.....#.......#...#............#...................................................#............#..#...........#.....#..#.................#.....#..........................#..............#.........##................#...........#.............#.................#......................#......#..................................................##........#........#..........................#...#.......#......#.......#....#....................#..........................#.................#............#.....#............#..........#....#...........#....#...#........#........
....................#.......#.......#.......###.....#........#...#.........#.............#.#...........#.#.......#............#.............#...##....#....#......#..#.....#.........#.....#....#..#.........................#..#........#..#.....#............#..#...#........#.##...#....#..........#......................................#....................................................#...#......#.....#....................#............#..........###..................#..............#......#......#...............#..............#..........#.#...............#...........#........#............#...........................#.........#....#...................#...#..........#...........#...#................#....#.................#.............#.......#.....##....#...#.....................................#.........#...#...#..........................#........#.....#.........................#........#.......#....#...............#................#...
.................#.......#............................#.............#...............#....#...............#.....#..#.#..............#......#.#.#....#.....#........#.......#.............#...#.................#................................#.....#........................##.#.#.............#.#......#...#....#.#.....#......##.................#.#......#...##....#...#.............#...........................#..........#...#................#............##............#.....##..........................#................#..........#.##.........#..........#.................#.............#.....................#.................#.....................#.........#...................#.......#..............#.##.............##.....#.............##.#....#...#...........#..#.............#...............#..#.#.........#......#..#....#.............#......#..........................#.#.....................#...#......#..............#...#.#...................
.#..........#.............................#.....#...#...#...#....#....#...........#.......#.......#...#.......#...#..#.........#......#.........................#....#..................#...............................#....#......................#.......#..........#............#........#.......#...............#...........................#..#....................#.........#.#.#....#......##......#..#.................#...........................#....#................#....................#.................#....#.......#..........#..#...............#....#.#.....#................#...#..#...#...............#...............##......#.....................#.#.#........##........#........#...............................#......#.........#..#....#........#.#.............#...#......#.#.....#......#...................#...#.#...#....#...#....................#......#.#.......#.........................#.............#........#..............#....#.........
......#...#.....#...........#...................#...............##......#.............#..............#............................................#.#....#...#.#.#.#.............................#...#.......##...........#....#.........#..#.#.........#..............#..........#.........................##..................................#..............#................#..................#.........#.#..#.....#...#..........#........#.#.....#...#.............................#..#...................#....#.....................................#.........................................##.....#.#.....#.....#..#.....................#......#.#.......#.......#................#.........##........................................#..............#...........#..#...............#..#...#.................#............#..................#....##............................#.................#.#............#..........#.##.....##..........#..#.##...............
.#..#......#...................#.#.......#....#.....#.#..#..#...#......##.............................................#.......#....#...............#.#.#..........#.....##.........#.#.........#...#.........#............###...........#............#......#.....#..........#..#.......#...............#...........#..#..........#..........#............#..........................#.............................#..........##..#...........#.........#.....#.......#....#.#.............#........#.....................................#.................#............#..#....#....................................#........................................##.#.#................................#.....#.........#.....................................##..#.#......#..........#...#..............#.........#..#.#...#...#..........................#..........#............#.#......#.#....##.........................#...........................#.#.....#......#....#..#..#.
..........#.#.#................#.......#....#..........#...##..#.........#..........#.#.......#......#...#...................#.................#..........#....#...................................#..............#............#..#....#...#......#.........#....#..............................##...............##...............................#..........#....#................#.........#..#...........#...............#.................#.......#............#...........#........##...#......#........#.....#.........#...#.........................................#..............##......#.#.#...#...#..........#.....#....#.......##.#............#.....#.................#..#.#...................................#..........#...#.........#...............#............#.#..............#....#.........#....#..............#.....#..........#....#............#...........................#..............................#.....#........#..................#...........
...........................##.......#..#...#.......#......#........#...#..##.......................#.#.............#......#...#.................#........#.....#...........#........#......#.....#.........#.....................#.#.#......#....#.....#..#........#.........#...#.................#....................#................#......#.................#........#..............#...#.##.......#..........#...........#.............#.##.#........................#........................#....................#.....#........#......#...................#.....#...........#.........................#.........#......#...#..................#.................#................#.........#.#.......................................#...........#.......#....#........#.....#.......................................#................#..#.....##....#....#.#.....#....#........................................#.....#..................#..............#................
........#.....#..##..#.........##....#........#......#.....#............#..........................................#....#........#...................................#...........#...........#...#..............#......##...........#..............#.#..#...........#.........................#..#..........#..............#............#....#.................#..............#.#............#.#............#.##.....#..#.....#.............#.........#......#........................#.#....#.....#.....................#...........#.....................#......#...................................#....#.............#.......#......#....#.#.#.#.##.............................#.......#..#.....#...........#.##..........................#.........#........#...........#......#.........................##..#.##.....................#.....#.....#.........#..................#..................#.....#.......#.....#........#.#..................#...............#.....###
##.....#.....#.............#.........##......#.....##...#...........#.....#.....#..#.............#........#.#.#.#..#.....#.....#...........................#........#..........#.#............##.....#....................##..............#.#.##.#............#...................#...........#...............#.................................#.....#......................................................#..#.....#...#.#.#.#.#...#....#............#..........#..#..#..........#.............##...#........#..........#.#.##..#............#....................#.#..................................#..#...#..................#...........##...#......#...#.............#......#....#.....#...#.................#.##............##..............#.............#....#...#.........#......###..................................#.....#...........#..........#..............#..........##.........................................#.......#.................#.....#......#......
......................#............##............#....#....#......#.....#...#.#..........#..#..................#....#...........#....................###........#..........##............#...........#.......#..#..##..................#.#.....#....#.....#.....................##.......................#......#..#.............#..#.#..............#.##..........................................#.#...........#.............#..##....................#..#......#......#.............#....................................#....#..#..#..#......#.....##............................#...........#..........#.#........#..........................#...................#.......#........#...##......#.#....#...#...........#.#.........#..#........#.....#.#...#........#.......................................................#.....................#...........#.....................##.........##.............#....##.....#.............#.#...............##.#.............#....
....#......#...............#..................#......................#.......#.....#.................#.......................#.....##..#....#............#..............#........#........................................#.............#...............#..........#....#.#.........................#......#...#.......................#...........#............#.........#.............#...#........#.................................#.....#..............#..#.................#.#.......#.#.........#......#....#...........................#...#.........#..#..............#....##.......................#..#..................#...#........................#................#......#.......#....#......#......................#.........................#.#...#...........#..................................#....#.#.#....#.......#..##............###........................#........#.#......#.......#.....#..............#..#.......#.........#.#......................##
##......#........#.......##...............#.#......#.............#...............................#....#........#............#.............#..#.............#...#.#...........#....................#.........#....#...#.....#...................#.#.#........................#..#............#............##...............#.................#.#.......#...............#..................................................#......#.#.......................##....................#................#.#.###....#.......#...#.......#........#..................#.....................#.............#..........#...#....###.............#...........##.#..#..............#.#.......#......#........................#.....#..##..........................#..................#...#.............#.#.............#...............#..................#...#...........#.....##.......##..............#......##...........#.#...........................##.......................#............
#.....###....#..........#......#....#........#....#....#....#...............#...................#..#...........#..#..#...#.....#.#................#.........#..................#.............#........#................#..#.#.....#...#..........#........##........##...#.............................#.....#....##......#...............#...............#...#...###............#.....................................#.....#....#.......#.......................#.....#..###...........#............#..........#...#.#...#...........................#..#............................................##......#..................#............#...#.....................#...........#......................##.....#...#........##........#....................#....#.#....#...................##...#...#.#.................................#....#.........#..............#.##...............#................#........................................................#......##...
........#..#...#.#............#....#.........#....##.....................#.#............#..#......##.........................#..............#.#..........................#......................#.....#.......#....#...........#........#.....#..............................#.#............#...........#...#......................#.#..#...####...........#.#.##.##.#.......#................##......#..#...#......##....#...................#..........#.......##...##..#.##......................#.....#...#..........#.#.......#.........................#...##...#.....##..........##.....#.......##..........##..###...##......##......................#..#....................##.#......#..........#....................#....#.............#................#..#....##.............................#...#..........#.#.#.....#.#....#....#..#..#..#...........................#.#...........#....................#...#.......#...##.......#.##...............................
...#...........#...........##.#...#.......#.....................#............................#.#.#..............................#.#........##..............#............#........#.#.................................................#......................#........#..............#................#...........#...##..........#......#....#............#....##.....#...#..#.............##...........#..................................#....#.........#.................#........................#................#......#............#...............#.#.....#.........##....#...#..............................#....#.....#..#.............###.......#...##........................#..................#..............#........#..............#...........................................#........#......................#......#................................#.....#...................#...#.........#...#.....#........#...#........#......##......#...#....#...##.....#
...............#...#...........#...#........................#..........#...............#....#..#.#..................#..............#....#........................#...................#................#..................#....................#.......................#................................##..#........#.....................#.........#..........#.#............................#..................#..........#.............................#...................#........##.......#.....#.............................#..#..........##......#....#.#.........##.#............#...........#..........................................#...........#...........#..##.................#..........................................#....##....#..##.#..#.........................#....................#..........#...............#....#......#....#..........#....#.........#....#.............#.#........#.......#..#........#...........#.............#..................
...#.#.........#.......##....#.......#.......................#.##...#.#.............................#.#....#............#....#.......#...#........#........#....#..................#......#....##.......###.#......#...................#........##...#............................#........#......#.......#.#...#....#..#..................#.#..........#..............#.......#...#.......#..........................................#..#...................#...............#............#...#.....#..#..#...##.......#.........#...................#.........#.............#......#.........#..............................#...#...#..................................##.........##.#..#...........#....#..#.......................#.........#.............#.#.............#..............#..........................#....#......#...#...............##...#................#....................#..#..................#............##........###..#......#.#...............##....
.#................#........................#..#............................#.........................................#.....#............#............#.........#..#...........#........##......#.#.#....#..#...#...........##....#...#.......#....#............#..........#...................#....#..............#...........#......#..............#....#....................#..#....................#.##.............#....#......#........#.....#....#....#..................................##...........#.........##......#..................................#...##..#................#...........................##.......#....##.....#.#....#.......#................#......#.##............#....#...............#...............#.#......#...#................#....................##..............#..#........#.................................##.#.#....#.........................#.#......................#.#....#.#...............#....#..........#....................
#...............#.....#.#.......#..........#............#........##....##.......#..........#...........#.........................#........................#..#........#.........#......#....................#...#.........................................................#...#..#.#......#.........#.#..#.........#..#..#.........##.......#.....#...........#...................#.....#................#.........##....#......#...#.............#.....#..##....#..............#..#...#...#..............#..#...#........#.............#..#.......#..#.##..................##..............#.....#......#.....#........#........#.....#....#..##............................#...................#.#......#................#........#.........#...#.....................#..........##..#.#....#.#...#...........#.....#................#.##....#.#.......###.###....#.........#.#...#............#...................#........#..#.......#..#.....#........#..........#..#.......#.
#...#.........#...................#...##.....#..........#.......#...........................#.......#....##............##.........#..#........#....#...#...................................##..........##.....#...........#...........#......#...#...............#..........#...#......#..#...#...#...#.#...........................##..#...#......#...........###........#...............#.#..........................#...........#.#......#..#.....#....#..##.......................#..............#.............................#...........#..#.....#..........................#...................#.....#..#...........#.........#.#...#..............##.#..................#....#.#.......................#...........#......#.......................#.#.............#..#.....................................................#....#...................##......................#.#...........................................................#...........#..#.#.......##.....
.................................#....#........#..................#..................#....#.....#.......#...#.......#.................#....#.#..##..#....#.....#...#..........................#.....#...#................###.....#.........#...#...#.......................#....#...........#.#....#.#............#...........#.........................#....#............#...#..........#.........................................................#..#...............................#.......#..#........#....#...#.................#......##..............#........#....##..............#.#......##......#.#......#...........#...#....#.#...#.#.....#.........................#......##.......#.....................#................#....#....#.....#......................#................#.........#.........#...........####.........#.#............................#..#.......#.#.................................#...#.#...................##..........................#.
..#........#.................................................................#.................................#.#.##....##..........#......#...............#.....................#..#......#..#..................#.................#..#...........................#..................#..............................##........................................#..#.....#.............#......#.........#..#..#...................#.............##.....................#...........................#...#..................#.................#.....#....#.......#...#...................#..............#......#..........#........#.........................#...#...........#.......#.........#..##..................................#..#...............#.......................................................#...............#.#..#......#...#..........#.#.........#...........#.......#......................#.#...##..#..#.....#...............................................
.#...##................#............#.........#...........#............#.....#....#..................................#........#.......#......##...#.....##...........................#.................#...#.......................#....#.........#....#....#..##.#.#..#.......................#................#...#............#....#.........#...#..........#...........#...#....#.............##......#.#..#..........#.......#...#..#.#.#.................#.............#....................................#........#.....#....#..#..#..............#..........................#....##..........#....................................#........................#....................#....##.....#............................................#......................#.............#....##......................#........#....................................................#..................#...#...........#.....##............#...............................#...#....
...#..................................#.........#............#.........#.#..........#.......#..#.........#.........#.........#...#..#...............##.#.....#........................................#..#......#.......#.#..#..............................................#..........##.....##......#.........##..#.................#.....#.....#................#..........##....#....#.......................................#.....................................#......#.....................................#................#.#.#..............#.............#........................#....#...............#..#........#........#................#.#................................................................#..#..........#.......#..##...........................#.....#..............................#..#.....#...#....................#.......................................#.........................#......##....#...............#............#.#..........
.....#.................#...#.............#.....##...#......#....##..................#................................#...#.....#...#.....#.......#............#.................#....#.......#...................##..........#....#..................#...#.......#.#.#..#...#..#.......#.....#.....#...........##.#...#...#.#.....##.....#.............###......#..................#.......................#....#.#.............................................................#........#..##..............#.#.##.............#.....#............#...........#......#..................#......................#......................#.......#......#........#...........#................#.....#.............#..............#..##..##.......#....................................................#...#.........#.........#..#......................................#.#.......#.........#....#..........#...........#....#....#.........#....#.......#.................#.#.#......
#..#........#......#......#.....#...#.........#..........#.....#................#...#.#......#.......#.......#......#.......#.###..#.#....##..................#......#.......#........#...........#....#......................#........#..........#.................#.....#..................##............#.#......................#........#...#...................#....#....##.#......#......#................#........#..##....#.......#.........#....#.....#.#........#..#....#.#...............#........#.....#......#.#.#....#..................#...#........#.....#.....#.........#..#......................#................#...............#...#........#............#.#................#.#...........#.#.....#.........#.........................#.....##.............#.#.......#...................#..........#......#.....#......................#........#......#....#...#....#..........#.....#.............................#.#...........#...#..............##.....
..#.......#..#......#................#...............#............#..#........#...............##............#.......##.....#.............................#.................#..#....#.##....#.....##..................#.......#.#.#.............................................#....##.........#.........#.............................................#...#...#...#......#..#.....#....................#.#.......................#...#..#.....#............#..................................#.....#.........#..............#.......#...............#.......................#....#....#..#...................##.....##................#.#......#.#......#.#.....................#....#...................#..#...#......#.............#....................#.#.......#.......#.......##..................##.........................#...#.......#..#..........#.........................#....##..........#.....#..............#............#....#.......#.....##.................#
...##...........#.#........#.......#........##......#....#................#........#...........#....#.#..##........#.......#..##.................#.#................#..#..#............#..............#....................#...#.................#......#...#..........#............#............##........................................#.....#....#............................##.#.......#.........#..................................##.......#.....#..............................#.....#.....................................#....#.................................#..#..............#...#...#......#........#.....#.#.........................#.................#......#...#.....#.........#..#........##....#...#.....................#..................#...#....#......................#......##....#.....#....................#..............#.......##.#...........................#.#...........#.....#...........#......#...........#..........#..................
...............#......##....................#.........##.........#.............#.#..........#...#.........#.#........#..#.......#.........#......#......#.............................#.#.#........................##..#.............#...#......#.#..#..........#.#...........#.............#..#......#......#....#............#.............#................#.........##..#...........#....#..#.........#....#......................#.............#...............##.....#...............#.......................#...#........#....#..#....#...#..................................................#........................#...............#........................#...................#........#.....................#...................#....................#........#....#..#....#.......................#.................##......#...............................##.....#.#...........#............#................#................#...................#.......#.##...#.
.................#.......#...#.....#...........#.#..##...##.#.........#.....#.#.....#....#.##..#............#.........................#.##.......................#..##..#.....#.....#....#............#....#............#.....#...............................#.......#..#.........#........................#................#....#.....##.#.......#.....................##........#.......................#...#...........#.....#..................#......##.............#........................##.......#...#.#.........#......#.....#.......................#...#.##..................#...#..........................##....#...#.....#..........#......#....#............................##...................................#.#.................#.........................#..................................#.#.............................#.......................#..#........#.#.....#..............#..#....#.#.......#..##.........#...#...#..##.......................
...#.......#...................#.....#..#....#...........................#...#.#.............#..................##......#................#................#......#.....#.......#...##.#.........#...#..............#.......#...##.#...............#...............#..#..#.#.............................#.............................#...........#........#...........#.##....#........#.........#.#.....#.....#....................#....#.......#..#..##....#...#...........#...................#.............#...................#....#........#.......#....#................#.............................#.....#.....#....#.#.........................#......#.....##...##..#.......#.#..................#.....#....#....#.........#........##....##.......#.........##.........#...#...............#.............#...........................#........#.....................#......#........#.....................#...#.....##......#.....#........#........#......#..#......
.............#..#...........#...............#..............#.......#.....#...#....#.....#...........#.......#.......................#....#......................#.........##...........#.........#........#.............#.....#.....#....#.......#......#.......................#..#..#................##.....................#......#.......#.............##.......................................................#....#.......#............................#..#.#...#.....................#.................#.#........#......#.........##..#.......#......................#..................#....#............#.....#....#...................#...........#..................#..............#....#.........#............#....................#................#......#.......#....##..#................#.........#......#..#...#......#........##..........................#..#............#..................#......##...........#....#...........#.#..........#.........#....
#......#.....#.....#............#....................##..........#............#......................#.......##..#................#.............#...............................................................#.....................#..#..........#.....#........................................#.....#..#........#..........#..............#........................#....#.........#...#.................................#.....#......................#.....................#.................................#.................#..#.#...........#.#....#.....................#........................#.#....#..#...#.......#...##...............#..#.#................#.#.....................#....#......#....#.......#..........##..............#...#..#....#.......#................................#....#.#........#...........#.......#....................................#.....#..............#........................#.....#...........#....#.#.....................
.................#....#............#.#.......#...#.....................................#.#.....#..................#.....................#....#.........#...#..#....#.....##......##..........#..............#........#..................#...............#......##.......#..............#....................#................#....#.....................#........#.............##..............#...................#............#....#....#.......#...#...........#.....#.#.................##...................................#....................................#.........#.#......................#........#......#......#........#....#...........................#...........#.................#................#.#....#..................##.#.....#..#.#..........#....#.........#....#...........................#............#.....#.........##....#..#..........................#..#....#.#.........#...#..........................#..............#..........#.#....#.
...................##.........#.....................##.#.....................#............#..............................##.................#.#........#...................#................................#...........#........................................#.#.................#................#...........#.##............#..........#.........................................#......#..#.......................................#.........#..........#.....#........................................................#...........#.......#..........##...##....................#........#...................................#.#................#.#.#...........#..........#...#.......#..............#...................##.............#..##.#........#......#................#..........................#.#.............................#.....#.........#...#..##...........#...#.......#..#......................#..#..........................#..#............##..#....
......#.#..................#...............##.....#..#.##.........#....................................#...#.#.#........#..........#..............#.........................................#.......#.....#....#..#..........#......................#......##.........#.......#...#.......#..#....#......#..............#...#.#............#.....#...........#.#..............#.....#........#........#..#.#.#........#...........................#......#...#..#..#...#.........##........#...........#.#........#...#................#.###.............#.............#.........#.....#........#.................#...........#..#..........#..........#......#.....#..........................#...#...#.......#..........#....#.............#.#.#.#.#.........#...............#..........#.............#.#.#.......#..#.............#........##...#......#.#..#........#...........................#.........#............#......#......#.......##.....#..##...................#..
....#...................#............#.#..............#..........#.............#....#.......#..#.................................#.....................#.......................#....###.........#......#..............#..#.............#....#.............#.........#.....#.......#..#........#......#.............#.......#.#........#......#..........................................................#..................#......#.................#..#.#........#...........#.....................#..#...........#...#.....#......#.................................................................#.#..#...#.........#.....#.......#..............#............#...#.....#.....................#..........................#.............#..................................#...##.........#..#...#............#...............#.........#.......................................#...................................#..#.........#.......##..#....#..........................#.
...........#...#........#.............#.............................###.#.......#.#...........#...............#.#.......#....#............................##......#..##............#.............#.#..............#.........##..........#..........................#................................#........#......................#.......#...................#.#............##......#..#..............#.................#.............#....................................#.#.#.......................................#...........#.............................#....................#...........................#..#................#......................#.....................#....#...........#..............##...#....#..........#............#...................#.#.......#......#......#......#.................#...#..........#.#......#..........#....#...#.......#...........#...............................#.................................##............#.....
.#......#.............#..#.#.....#..............#.#.......#........##.#.#..#.........................#......................#.....#.........#.............#...........................##..#....#...#.............#........................#........#..................#.........#...........##...................#.................#.......#.............#...#...........................................#..#...#...#.....#....#........#......#......#.#..........#.............#.......#.#.##..#....#....................................#....#....#.............##....#.........##...............#........#....#......#....#............##............###.#.##.......#.......#..#.##..##....##...###......#.#.....................#...................#..#.............#......#..........................#.....#.....................#...............................................................#.....#..#....#.................#.......#..........................#.......
...........#...#.#.................#.............................#.#.#.##......................#..........#......................#.....#.....#.....#..........#.#......#...........#.#.............#....#....#...............#....#......#..................................................#....#..........##...............#.........#...#.....#..##.......#..................#...##..........................#...................#........#.......#.#...##.#....................#........#...#....#.....................#.#..........#....##.......#....................................#...................#....#..................#....#.............#.#..#.................................................................#....#..#.........#.....#..#....................#...#..#....#......#.......................#..............#........#..................................................#.......#...................#...#.....#.............#.......................
......#......#.#.......#.....#..##....#....##...................#....#...............#.......#........................#.........................#..#...#.......................................................#................................##...........#...#......................#........#.......#...........#...#...........#..............#....#...#........#........#......#...........#.......#..........#..........#..................#................#...........#..#...........#.......................................#........#....#........................#..#...#......#....#.........#..................#.#...#.......#..................#............................................#..........#...............#..##.#.#.................................#...#.......#.....###......#....................#..#............##..........###.#...........#..##.....#.................#..............#.......#.#..............................................#.
.#...#......#.............................#.#......#............................#.......#..#.......##..............#..#..##........#......................#.........#.........##..........................#......#..#..#............#..#..##.#............#..#......................#..........................#.....#..............#............##................#................................#................................#.............#..#....#.#...##.................................................#.........##.........#...#..........#........#.....#..#..........##....................#.......#....................#.........#.#..#.....#.#..#.................#.#....................#.....#..#...#..##..............#.....#..........................#........................#.....#.#.....................##..............#............#.......##......#.##.......#..#.#................#............................#........#...........#....#.#......#.
#......#.#........#.....#....................................................#...............#..............#.............#.#...#..#...#.......#............#.....#..............................#..........#.....#....................#.....................#..............#..#...#.#.................#..#.....#.#...........##.......#.............#...#......................##.................................#.................................#..........#.##...#...........#..............###..............#.....#...#......#.#..#....#.......#.................#..............#........................#..............................#..........#..#.##...#..#...##....#........#.......#.............#....#.........#...#.........#...............##...............#...#.............#............#...........#..#.....#.......................#...........#..#...#....#....##.#...............#.#..........#........#.#..........................#.....................
......................................##..........#..#...........#....#..................................#...............#.#.............#.#.......#.....#...##.....#.#...#......................#.....#.......#...#............................#....#..............#....................#.#..........#.................#.#.....#.......##...................##..................................#....................#...#..........................#..#..#...#...................................#...............................#..................#............#...................#.....#......#.#...#..............#..##.........................#.....#......#.#.#..#......#................#........#.#............................#........#.#...........##.................#.#.......#...............................#.....#.#...#..#.......#....#.........#......#..................#............#...#....#....................#.........#.........................#....
.......................#..........................#........#......#.#...#.............#......#.......#...#............#...#..........#........#........#.......#.#....#...........#...............#............#....#.........#..#...#...................#..............#.#......#.......#...##...........#.....................#..#.......#.........................#...........#....#.#.............#...#...#....#........................#...#....................................#...............#..........#...#.........#.....#.................#.#........#.#......#.#..................#..#.#....................#.#........#.#......#...#............#...#...........#...........................#.............#.#.....................#....##...#.............#.............#...............#..#.....#.....#......#.#................#.....#..........#................................................#........#.......#...#...............#..#..........#.........##...
..........#.......##..............#..........#.#....##.##.#.......#...#.#...........................................#..#.........#.#....................................#......#.................#.....#.#............#.......#...#........#................##.##.#...##......#.#...........#....#.......#....................#....#...............#....#.#.#..........#.....#.....#............#........#...#.....#.#............#.......#...................#......#...........#.....#.............#.............................................#.........#......#................#......#.........#.....#...........#.#....#....#................................#.................#..........#..#.............................#.....#.#...............#.........#..#...........#....#............#..#..............#.....#.#.#........#............#..#..#..........##.......#....##...........#............#.............#...#.......#.................#.....................
..................#.#...#..............................#..#..............#............#....................#.........#....#...............#............#...#......#.#...#.....................#...................#........#.......#.#..........#.........#..................#................#..#............#.....#....#.....#.............#........#......................#.......#.#........#............#.....#..............#..............#......#.#...#.......#........#...................................#......#...............#...........................#....##..#......................................#...#.....#......#........#.......#..#......#.......#...........#..........#......#....#...............#..#................#............#........................#............#..#........#...........#..#......#...............#...........#.....##.......................#.....#..#..#...#......#.......#..#......#......#..................#..............
.........................#.....#...............................#............#..............#...#.....#.#.........................#...................###.............#..#.......................#..##..............#..#..#......#.....#................#.#....#.....##....#..............##......#.........#........#...#..........#.#.#.#....................#.........#...##.##...#......#.#........##...........#....#......#..#...........#.#.#.##....#...#........................#....................#.......#......#...#.......#......#.#.............................................#.........#...#...........#...#..##..#...#........#.....#..............#.##........#.........#..#............#.#............#.........................##.....................#....##......##..#...#..#........#...#.....................................#...................#................##...........#........#.......................#....##......#..............#........#....
#...#..#.........#........##....#.......##.....#......#.#...#........#................##...............................................................#...#.........................#.....#..#..#....#.......................#........#...............................#..........#......#...........#.......#...#........................................#..#...#.............#....................#.................................#....#...#...............#............##.......#...........................#.#.....................#.......#...........#....#.......#...................#.......................#.....................#........#.....#..................#...#...#..........#..##.....#............#........................#..........#.......##...#.#....#...........#.................................................................##...#.........#..#........#.....##.........##......#...............#...............#..............#.#...............
....#.....................................................................................................#......##.........#...............#................#............#........#.......#.....##.........#...#......#...........#......................##....#..#...............#.........#.#.......#.#.............#.#.......#..........#..........#.....#............#.......#....#..#........##................#............#......................................#...........#........#..#.#...#.........#............................##.#.....#............#.........#....#....##....#.........................#.....................................................#...........#..........#..................#.#......#.......................#.#..#............................##..#.#.#......#......................#.......#.....#......##...........#...........#.#.................#........#......#.......#.......#........#.............#..........#......##....#
...........#...#...#....#.........#........#....##...........#....#.....#.....#....................#.....#.........#...................#.................#...#...#.............#......#..#..................#.....##...#....#..................#.##.#...........#............................#....#..#......#...................#..#....#.....#..#........#............................#.............#..#....##.............#.#...........#.................#......#..#...........................#...#...............................#.....#............#...#.............#..#.....#.......#.....................#......................#...................................#..#......##......#................#.....#............#.....#........#...........#.......#.........#.....................#..............................#.#.........#.....................#..........#..##....#......#......#.#..#...........#.#.#.........#............#.......#.....................
....#.#..............#..............................#..#....#............#.#....................##..........................#.......#......##.......#.........##...#...................#...............#......................#....................#.........#.....#.....#...##....#.................#.....##.............................#......#...................#.#..........##.#.......#.##.....................#....#..................#......#..........#...#.........................#........##........................#.......................#.#.....#...........#.#..............##....#............................#..#...........................#.............#.#...#..#..............#.....#........#....................#...................#...........##...................#...#..#........#.......................##.#...........................#.................................##............#..........##........#...#...........#.#...#....#.........###
#..#....#............#................#.....##.......#..........#....#..........#.......#.#...#...........................#.#.....................................##...#.....................#..#....#........#................#.#..##.............###..........................#...#..........................#.......#.........#.....................#.......................#.....#.#.........#..#..#..#...............#.........#.............#..#.....#..#..#.....................................#...........#......##....#..........#..........#.#....##......#.......#..#..........#....................#.............#..............#..#....................#..................#....#...#......#...###.........#.....#..#.......#...........##....#.#...#.................#......................................................#............#...............#.......#............#.........##.#..##......#...#.................#..........#.....##.....##.#...........#.
................#......##.....#...#........#......##.#..........#.....#.......#.........................................#...............#...........##.....#......#..........#....#.................................................##...#..................#........#..................#...................#.......#......#........................#.#...........#.....................................#..........#.....#..#...........#.#................#........##..........#........##.......#....#.......#...........#..................#......#.........................#........#..#.........#.....#....................#..#.........##...........#....#..#...............#............#....#....#...#.##....#........#..........#..........#..........#..........###...#..##..#........#........#..#.#.....................#..........#.............#............................#........................#.#.....................................#...............#.......
#........#....###.#....##.#...........#.........#..............#...#........................#.................#......................#......................#.........#...................#.............#...............................#....#...........#..........#....................#.....#....#.........#........#....#.........##.....#.##.......##...#................##...............#.........#........#...............#...................##.#........#....................#....#..##...............#...........#....##....#....#....#.........................#..........#.............#................##...........#.....#..##.#.......................................#.............#............#......##...#..#.......#.............#..#...#.##.....#................#.................#...........#..#..............#....#............#................#....#.......#.................#.#...#...................#........#.....##......#.#...........#....#.#..#
.#....................#...#.........##...........#........#...#...........#.....................................................................#.#..........#....#.#...........##.........#......#.......#..................#....##.....##...............##....................#..#.........#.#....#...#....#......#....#...#...#...#..............#.............##...#...............................#.......#..............###......#..#...............................#.#.....#.....#.#.........#..........#............##...................#...............................#..........#...#.#....#....##..........##.#.#........#..........................#.#.........#............#........#................#.#...............#...........#.#..........#........#..............#...#.............#.#..#.....................#.#...............##........#..#...........#.................#.........#........#...................#.....#..............................#.....
..#................................#..........................#.#...........#..........###...........##...#...........###...#.........##............#..#.............#...#...#.....................#....................#........................##....#................#................#................#..#.#....#........#..#.......#.....#........#...............#........#....#.........##...................#............................#....#.................#.#..............#.......................#..#...#.....#.......###..............#.............................#........#....#...............#..............................#........#.#...#.#...#...............#..##..................................................#...................##.............#...#...................#.............#...#.......#.................##..#........#............#........#............#...#...................#..#..........................#..#..#......#.........#
#.....#...........#....#..##..............#...................#..........................#....#..#....................#..#..............................#...........#...................#....#....#......#..#......#...........#.................#..#................#.................#.##....#..............#.......#.....#....#.........#...................#.....#........#.......#....#.......#.##.....#............................................................#..........#.......#.....#.#.#..............................##.#....#....##............#......##..#..........#.....#..........#...........#......#...................#..............#.#..............##....#..............#.....##.............##..........#..#...............#...##...........#....#...........#...#......#.....#...##.#...#..........#..#....................#........#........................#...................................#...#...#..#...................##....................
............#.......................#..#.....#..##......................##....#.#....#......#..............#................##........#.....................#....#........#.....#.........##..............#.#...................##..##.......#..##........##...#..........#..###..................................#.........#.................#.##.........#........................#...........................#..................#.........#..........................#..#........#.....#.....#......#........#..................#.....................#.....#.....................##.......................#.........#..........................#.........#...#.......#.....#.....................#.....#.........................#.........................#..#...#................#.................................#............................#................................#......#..#...........#.....#.....#.#...#...#.........#.................#.#...#....#........
..#.......#.............................#........#...................#............##..#......#........#.........#.....#.#.#...#..#....#..#..........#.#.....................#.#....##...#......#..#.#.#............................................#...#....#.#........................##........................##.........#............#.............#..#...........#.......#..........#...#.#..........#.......#.#...#......................#...............................#......#..#................#......#.......#......#.................#...................#.#.....#.........#.....##............#.......#......#..#.#.......#............#......#.............#........#.............#......#.......#.......#......##...........#...##............#.......##..............#..............#........##.#.........#..........................#.#......#......#..........#.#...........................#..#....#..........#......#.............................#..#.#......
.................#...........#..#......#...........#........#.......##...#.......#........................##...................##.........#.#..#....................#....#..#...#....................#........#......#........................#.#..#......................#.................#...#..#........#..........#..#..#....................#...#.............#.............#.#.##............#...........#...#....................#......##.....#..#............##.......#................#..............................##.............#.#.......#.............#...#............#...##...............................#...........................#..#.......##........##.....................#...........#....................#.....##..##......#..#..............#.............#...#..#.......#.......#.....................#............#......#...#............#..........#...#..........................................................#................#.#...#.....#.
#......#..........................#....#..........#..#..#...................#..#.....####.#.....#......#..........#..................#........#.......#.##....#.............#...#...#....#...#.......#.#...#........#.........#...##............#............#....................#................#.............................#.......#.......#..............#..........#....#.##.................#.........#.##.......#...................................#............#........##.......#........................#.#...........................#......#..........#................#...#..#.....#.....#...#.................#...............#.##...#....#...#..#....#.....................#.................#......#...................#.....................#.#............#......#.............#.......#.#.#................#....#..........#.........................#................#............#.........................#..#...#.....#.........#..#.....#..#.....#.....
..#.................#......#.................#......#......................................#..#.....#.........................#...#.................#.................#..#............#......#...............#......#...........#...#.......................#...#.....#..............##............................##...#.#.........#...............#........#......#...............#.....##...................#......#.................##...........#.............#...........#......#............##.#.........#..........#..#...##...##...#..............#.......#.........................#........#..#................................................#.........................#.........##.....#....#.........#...##.#.........#........#...................#.#...#...................#......##......#........................#...........#..........#.....#...............................#.............#......................................#.........#..................
..........#...................................#......................................#....#....................#..#............#................##.......#.#.#.........#..#..#...#..............#................#.........#.....#.............#...........#.......#.........#................#.....................#.................................#............................#..##....#.............#......#..........#.............#..............#...............#............#..........#.........#........#.........................#........#......#......#...........................##....................#..........##..................#...#......................#..........#.......#..........#..#...........................#....#...........#..#...#.#..#.........................##....................#......................#...#..................#.........#.......##.............##.....#..................#................#....#..................#.....
.#.#.......................#..................#..............#................#..#.....................#...#.........#...................#.....#....#....#......#..............#..#.......#........#..#..#.........#.....................................#..................#.#..#...............#.......#...#...........#..#..#.#..........#..........#......#....#................#....................#.....#........#......#....#............#..........................#.......#..........#.....#.....#...##........##....................#....................................#.................#.............#..........#......#...#..........#....#......#.................................#.##..........#.#..................#..#..#.#...#.................................#.....#................#.............#...............#.......#..#.......#..............#..................#................................#.........#..................................#......
...##..............#...............................#...#.....#.......#............#.................#..#..#......#.#.....##..........................#....#...........#......#.#.............................................#.........................................................#..........#............#.#...........##........##....#.....#.#....................#...#.......#.#...#................#..........#...#........##...#........#.............#.........#...#..........#.................#..........#..............................................#.#.......................................#.......#..........##...#............#..........#........#.............#.........#....#....#...#..#.....#................................................#.......#.........#................#...#.....#...............#...............................##.....#.........#..........#...##...#.....##...................#....#..................#.............#....#.
#.#....#.#........#...#...........#..............#....#.....##....#...#....#.....#.......#................#..........#......#....#.......#....#.#...................#...#.............#......#.................#.#..........#...#...##.....#.....#........#......................#...........#.............#........#.#.................#.....##....#.....#.#..........##................#.........#..........#.......#......#.....................#.......#........#...................#........................#.#...#..................#................##...................##...........#..#.......#.................##...#................................#...#.......#.......#......#....................#.#..................#.................#...........#..#............#.#................#...............#.........#..#..................#..........#.......#.#........#........#..............#............#............#.........................#..#...............
..#..##....#.#..............#......................#...........#.....................#.......................#...........#................#...................#...........##......#..........................#......#..#...........................#.........#..##.......#....#.#..#.#.#.......#....................#..............#.........#.....#.........##...............................#.....#..##........#.......#..........................................#.##....#..#...........................................#............#......#............#......#............................#.......#......#..........#.......#.............#..............#.........................#......#..#........................#...........................#.#.............##..#.#.#..#...........#......#.....#.#.......#......#..........#.......#...........................#...............#...#.#.....#...#....#..#.........#...........#..................#.....................
.....#............#................#...................#...#...#..............#.............................##..........#......#.........................##.......#...#.....#......#..#.....#....#......................#.......................#..................................##.....................#.................#................#...................##...........##.#.............#.....#......#..........#......#..............................#......................#..#........#...........#......#.#......#.#................##...#....#....................#.#..........#...#.......................................#...........#.................#..........#...#.#..............#.....#..#....................#..#...................#.........#.......#....#..............#...#...#........................##..................##.......................#..........#..#....#.............................#...................#.##.#..........................
.#...#.........#.....#............................#....#...........##......#.........#...#...#.................#.....#............##...............#..##....................#....................#..#.#...#.....#..#...............#......................#..............................#.........#.....#.#.......................#...#.......................##......#...#.......#......................#.......##.#.......#.........#............#.......#.#.............#.#......#..#........#....#............#....................#..#...................#.......#.....##....#....#..#..##......#.........#........#................................#.#...................#..........#..........#.................................#.###.......#...#.............#.....#.......................................#.................#..................#.#.................#.....#.........#......................#........................#....#................................
...##............................#........#....#..#...................#..........##....#............#.........##.....#..#...#.#...#................................#.....#.#.#......#....................#......#......#.......#...............#...................#..................................##.#............#..#............#...#......#..............#...........#.............#........#..................##.#.##.....................#..........#.........................#....#.........#..............................#................................#............##.#....................................#....#..............##...........................#......##.#.....#.........#..#...#........#....................#.............#..........##.#.......#...#.#........##.....#....#.....#......#.......#...#..##.......................#....#.............#...............#.................#.....#..............................#................#........
#.................##..#.#..........................#....#.#............#.......#.........................#....#........................#.......................................#..#.............#.....#..#.##...........#.#..#.....#..#............##..#....................................#............#..#...........................##.##.#.##..#.......#..............#.........##..................#....#.#............#.....#....##..#............##.........#....#...............#........#..#.#.......#...................#.#...........#......#..............#..........................#......................##.....#................................................................#..#.......................#.....#....................................#.....#..................................#.........#................................#.........................#..#..#......#.....#.#............#.#.......#.....#.........#.....#......#.............##.....
.#...#.......#............................................................#.................#............#..#..#.#...##.....#.....................#.#..#..........#....##...#...............................##..........#.#........................#..##....................................#..#..........#................#....#....#....#..........................#....#.................#.##.......#..........#....#...........#...#.#.........##.#..............#...................#.......................#..#......................................#..#.......#.#..............................#............#.#.#.........#..#..........#...................#.#............#.....#...#................#.#..............#........#......#.#..#....#.##..#.........###.............#.....#..........................#..#......#..#.#..........#......#....#..#......#.......#......#.............#..............##.#................................##............#.........#
....#..........#.........#...........##....#...........#.#...#.....#....................#...#....#..............#.....#...#............................#....................##....#.......#.........#..#.............##........#................#...........#.............#....................#.....##.......##.#...........##......#.....#.#.#.#.........#.................#.#..........................#..........#.................................#.....................#....................#.......#.....##........#.##..#....................#............#..............#..#.....#..#..........#.....#...........##...............#.......................#.........#.....#......#.............#.................................#...............#.....................................#..##.##........#.................#.......###.....#..............................#.#...#..#..............#..........#..###......##.................#.#..#......#....#...#.........#
................#......#............#............#............#........##..#............................#..#....................#....#......................................#......#...#......#........#......#...#............#...........................#...............................#...........#.......#....#................#....#......#....#..#...##........#..###...#.....#.........#............................#...#....................................#.......................................#.#........#....#......#.##...........#.....................#...........#.#...........................#...............#.......#..................#.......#.............#.......#.............#....................................#..................#...........#...................................##.............#.....................................#....#......................#.....#..#...............#..#..#..#........................................#...
#.........#...#..........................................................#.................#.........#............#........#..#........#..............................#.................................#.....#..#.##..............#......#.............#....#...........#......#.#.#..................#.#..##..................#.....#.#............................................................#...#......#.............................................#.............#......#.#.....#...#.#........#.........#..#...#...........................#.................#.........#..................#.#......#.........#...#....#....#....................................#....#......#.#.........#...........#.....#...........................#.......#......#........#..#...#..........#.........##.#.........................................#.............#........#..............................#........#..#......#...........#....#.#.#.......#......#............#...#.
...........#...........#....#.....#.......#.........#..#........................#.............#.........................##.#.#....#....................#..#............................#.#.#....#....#.#......#........................#.........................#......#.##.....#.......#..........#...#......#.......#.....#.#..............#.#.....##....#..........#.............#.#.....#............###.................#...#......#..#...........#.....##........#.#.........#..................................#.......................##.............#.......#.........#..#.....##.#......#.#......#.....#........#....#..................................#...#......#.................#..#......#...........#..........................#.#.......................#..###...........#..#..#............#......#...............#...............................#................#.#.....#....#...........#...............#...........................#......................
......#.........................#....#....#.......#.#....#.#.#......#........#.....................................#.................#...........#......#............#...#............#..#...#..................#.......#.....#.....##.....#..................#.....#...........#....................#............................#...............#.##.........###.........................#......#.......##..#..#............#.........#........#.................#..............#......##.................##...#.................#..............#..#..................................#....#.........#.#..#.....#..#......#.................................#..................................#......................#..............#......#......#......#.....................#.............................#..............#..##............#....#....#...............#.............#......................#.#................#........#.........#.......#.....##..............
#.#...#..........#........................#.........................................#.#........#.......#..#..#....#................#...........................#.#..#....#............#......#...........#...#.....................#.....#.......#....................#....#......#.#..#......#...........#...#...........#.........#..#....#...##............#......#...........................#....................#.....................##....#.................#.................#.#.#...........#............#.............................#......................##.#............#.#................#...#............#.................#......#....#........................#............................##..............##...................#........................#....................#.#..#.......#..........#..........#...........#.#............###.........#......................................#.#........#......#.....................#......................
.#............#.........#..........................#..................................#.........#......#......#..............#..........................................#............#..#.....#.....#..#..........#....#........................#...#....#.......###............#.........#.......#.....#......#..................##..........#.##...#..........#................#...#...#.........#..#........................#..........#.................#....#...........#.................#..................#..#.##....................#...##..#.............#............................#............#.#......#...........................#.#...............##........#..................#..............................#........#.........#................#.....#...#...............#.....................###.....#..#...#..................#...................#.#...........................#......##.....................#...................#...........##..#..#.....
.....#.............................#...................#........#...................................#.......#.#........#......##....#..#..........##.....#.......#.......#...................#................#.......##................#.............#.......#................#.........#.....................................#...#.....................#.........................#.#...................#.......................#.#......................##...#.........#..#.........................#..#....................#.........................#.#....#.#...........................#..#......................##...............#.......................#...........#......#......#....##.............#..........................#......................#.......#.............................#.#.#.........#.......#...........#...#.#............................#.........................#.#...............##........#.#.....#..........#...............#..........#...
#..#................................#.......#...#..............#..................##..............#................#..#.#.................#.#.#......#........#.....#......#.............#...#....................##..##...#.............................#........####.#.....................#........#.......#..#............#.........#.................#......#..#........#...........#..............#.........................#.....#.................#....#.......#.....##..##..............#...........#...............#............................#....................................#...........#...#....................##..##.....#........#..............#...........#..........................#............#....................##.............#.................................#............#...#.................#......#...#.#................#................................#.#...#.............#............#..###.............#.....#......#..............
............#..........#....#........##..#.................................#.......................#......#........#.........#...........#..#.....#.......#............#.....##.......#...#..........#...........#......##........#..#.....#...................................................................#...........#...............#.........#..........#...........#.....#.#...#...............#.#........#..............#............................................#.#..............#.................................................#.......#.......#............#..........#.........................#..#............................#...#.............#.....#.......#..#..................#................#....#.#....#.................#..............#.......#.....#....................#.#...................#..........#.#................................#..##......#..........#..##........................#....#............#....#......#..................
.#.#..#............................#..#.#............#.........#.............#...........#....#........#...............#..........................#....................#.#....#...........#..#............#..##....#.#....#.......#.......#.#....#.##.............................................................#....##..............#..#..........#............#..##...................##.#...........................#.....#.......#.....##.........#...................#.....................#................#........#......................#.........#....#..........#.......#.........#......#......#...........#...#...................................................##............#...###....#.#.......##...........#..........#.......................#......................#......................#.........#..............##....#...#.........#..#.....#..........##....#.#.........#.....#....#........#........#...#..........#......#.#..#.................#...
....#......#..#......#...#...#..#...#...#.#...................#..........#..........#.#.............#...#.........#.....#.....#...............#...........#.....#.................#.#............#........##..........#..........##...#..#....#...........##....................##..##.#.........#...............#..........#...#..........#...##..#.........................####....#........................#..#...........#.........#......#...................#..................#......#...#.....#..............................#...........#............#.....#.........#......#.#...#.........#...#......#.................#.........#.................#............................#...........................#.#.......................#..............................#..#..#...............#....#.................#....#.............#...............#..#...............#.#.........................#...................#..#....#..#....#...............#........##.....
...............#............................#..#.........##..............#.#..#..........#....#................#..........#...#.............#.........#....#...#............#........#......#.....................#........#.....#..#.....#.#................#..........#.......#..............................#..........#.......##.........##...........##......##...#...#..#.#............#.....................#.#.....................#........#...........#...#................................#...#.........#........#.............#........#......#......................#.#...#.#...#..#....#..#..................................#...#......#.#........#......###.......#...#.#.....#...#......#..#.............#...............#..#...........#.............#....#..........#.....##......#.........#............#......#.....#.#......#..#..........#.#..............#.........#.....#.............#.#............#.#....#................#.#....#.....................
.........................................#....##..............#....#..........##......#.......#....#......#.......#............#..#.......................#........#......#.............#....................#............#......#...........#.............#.........................................##................#......#..............#...............#.#..........#...................#.........#....#......#..##..............................#.#.........................................#..#.......................#..................#....#.....#......#............#...............#.....#..........#........#.......#......#.....##.....#..#.......#......#........#.................##....#........#.......#.......#........#.........#........................#..................................##......#..............##......#......#.......#.#.......................##..................#....#...............#................................................
..#....#..#...............#...#.......#.#...#............#..#.....................#..#........................#.#.#.......#............#.............#.......#......#.........#.#.....#....#.......#..##.......................#................#..........#..........#....#.#..#.......#....#............#............#.......#.....#.#........#......#..............#.#...#..............#....#.......#......#..........###.#..............................#..........................#.#.................#.....##.......#...........###..#..............#.#....#......#.....##.......#.#................#...................#....#..................................#........................................#..#...#..........##..#..............##.........###....#..........#....##...#..............#.#....#................#..............#.#..........................................#...................#...................#.........#........#....##.......#........#.
..........#....#........#................................................................#.................##......#.#..................................#...#..............#.................#.............................#..#.#..............#.....................#.....##.........#............................................................#............#..#.........#........#...#...#....#..#.......#.................................#.......#..#..#.#......................#.#...#..........#......#...................#..................#............#......#............#..#......#....#.#....##.#.#................#........#................#..#.#.......#..........................................#...#...#...#.#...................#.........#..#................#...........#...#...#...#.#.......#.......#.#..........#.#..............................#...#......#..#.....#....##...........#....................#.....#...##.........#.........#...........
................#..#.##...................................#...........................#......#.#...........#.......................#.#......#.......#.#......#.......#......#........##.#........................................#.......#.....#........#..#...............#.......................................#..........#.................#........................#...#.....#.......................#..................###..................#...............#...#..................#.................#.#...........#.....#.#......##.....#...........#........#...........................#........#...................#....##.........#..#.....................#.............#...#.#.#........#.#......................#.....#...#.........#.......#............#.................#............................#..........#......................###..#......#..........#....#..........................#...#......#......................................#...........#....
.#................#....#....#...........................#.....................................#...........#....##.................................#..#......##...............#.#......................#.......#.....................#..#.......#....#........#......................#................................................#.#...#......................#....#.................................##...............#.....#....................#..#.....................#...........#...#..................#......#......##.......##.................#.................................#.....#.#................#...#...........#.#..#...........#.#................................#.#...............#........#...#.................................................#..#.........#....#.....#.....#.................#...............#....###.........#......#.....#....#.#.#.#..................#.#...............#.....................................#...................
...#...#............#.#..#.........#.....#.........................#......................#.............#..................#..........#..............#.......#...#.....#.............#......#............#..........#.................................#.#.#.#....#.......#..#.......#....#...#....#.....#............#........#..#.........##...........#.....................##.....#..#...#......#......#..........#...#....#..#............#..........#........#..........................................................##...........#...#.........#...........#.................#.......#...#...........#..................................#.........#.......#...........#...............#...........#.##.....................................#...............#............................#...#........#.#........#.#.....#.......#...........#...............................#.......#.#......#..........#..#....##..#..........................................#.#........
...............#............##..#..............#....#..#......#..#....#..#......#.#...........#......#........#......#.#...........................#...#.......##.............#..#....................#.....................#.#...........#.#.#........#.........#..#....#....#...#........#..#...............##.#...#....#...................#.........................................#.##.##...#.........................................##.#..........#.......#......#.......#...........................#........#..............................#.............#................#.........#...............................#..................#.......................................#..........#.....#...................................#..#...............#...#..#.......#.......#...........#........#.#..........#...#....#..#.....................#..........#.........#.#...#..#.....................#..#..............#..............#............#...#.#............#.
....................#.......................#.....#...........#....#.....#.#....#............#.......#.....#..#.................#....#......#....................#..#.........#....#.......#.....#...........#...........................#.........#..#....#........#............................#..........#.##........#................................................#........................#....#.#.#..............................##.........#.......#.............#.......#.........#.#........#..#............#.....#................#.............#........##...#................#..#..............#...#.............#.......#....##..........#............#..#..........................................##.......#....#...........#..........#.##.........................##..............##....#...........#.......#.............#....#.....................##...#......#..###.................##......................#.....#........#....#.........#.#........#.....
...#.......#........#.................#...............#.......#................##........#..#...#.....#......#............................#.............................#..##.#........#..........................#.....................#.....#.....#..............#.....#........#.....................#....#..#.#.......##......#.....#........................................................#.............#....................#.....#................#..#......................#.....#.........#.....#......#...#..................#..................#.............#....#...............#.......#.....#..................................#....#......#........#....#......#........#.............#.........#..........#.........#..............#...........#................##..................#..#...........#....#...##........#...........#......##..#..........................#.....##.....#............#....................#.........#...#......##...........#..#...
#.............#...#...............................#.............#.......................................#...#......#............#..#......#..#.....................#.............##..##..#....#.............................###...........................#............#...#.........#............#...#..............................#.....#..#...............#....#......#......................#...................#...................#............#......#.#...........#.......#........#..........#........#......#...................#.#.......#........##............#....#................................#..........................#......#....##.#.......#.......##.#...................................#......#...#...#.....#..#.....#....#....#.......#..#...#.........................#..#...............................#..............#.............#........#.......#....#...#............#..#......#...................#............#..................#.#..#....
.......#.....#.....#...........#.....#......#.........#..#.......#........#.....................#........................#.........................................#..#...............#...................#.........#.....##..#....#..##................#........##...............#..#....................................#...#............#.............................................#......................#..#...#......#........#.#......#..........#.................#.##........#....................#......#.........#....#.#.........#...#...#.##....#........................#.............................#.............#......................................#...#.................#.........#....#..#...........#...........#............................#..#........#...........#.......#.................#.......#..............##.........#.....#..........#....#...........................#...............#.....#.....###..#...#....#.........#........#......
.....#....#..................#.............#..................................#....#...........................#..........#............#.....#.....#......#..............................##.........#...............#........#.........#..#...............##....##....#.................#.....#...#..##..##...............#...............#......................#...........#.#..............#..##..#.......#..#................#.........#....#...........................#....................#..#...#........#........................#.............#.........#...............................#..................#....#..#.....#....#.#................#.............#........................#..#...........#.........#...........#.............#........#..#...........................#..#..#....#...................#..........#...........#.....#...#.....#............#......#......................#.........#.....#.#...............#..........................#.......
........#............#....#..................#.................##.#..#........##.....................##.........#........#.....#.......#....#..#..........#...................#...................#...#.......#........#.#..#........#......#...............#..#......#........................#..............#............#...#................#......#..#........................#.......#.....#.#............#.......#....#...#................#...............#................#............#...............#...........#.........#....#..........#...........#....#.#....#...................#..............##....##......#............#............#.........#..........#...#...#....#....#.....#................#.#.#........................#.#..#.#.....#.............##.###........#............................#..........................#.#.............................#....#.#............#..........#....................................#...#.#...............##..
..........#....#..........##.......................#........#....#......#...............#....................#...#..##............#.......#............#......................#........#.....#....................................#..#..#.............#..............................#..#.................#...#.....................#....#.........#........#..................#..#..........#........#...#.............#...........#.#..#........#....#...#............................##...##.....#...........#.........#.....#...#...............#.........#...................................................#....................#..#.#.#.........#...#............#..#....#........#.....#.#.#.............##.....#.....#...............##.......................#..#..............#......#........#..#....#...#...................................#..#...................#..#..#.............##..##...#....#...................#..#...........................##...........
.............#...........#...#.......................................................#...#.....#...................#.#..#............#.............##.......................#....#.................#.....#...........#..#...#.#.............#.....#..................#.....#.........#......#...........................................#................#.#...........#..#..##.......#.....#..........................................#...#.#......#........#......#.................#.....#......#............#..##.#....#.....................#...#..........#..#......#....###.........#.#.........#.........#............#....#..............#........#..#...........#.........#........................##..........#..........#....#........#........#..#.................##...........##....#......#.........................#..................#...#..#....#......##.#.............#....#...................#....##.............##..........#...#....#.........#...........
......#..#......#...................#......#.................#..#..#...#....#....#.......#..........#..........#...#.....#........................#........#.......#................................##.#........................#.....#..............#.........##....................#.......................#.....#.....................#..........#.........................#.......#........................#.........#.........................................#...........#....#....................#..#............##.........##...#.##..#....##..............#...#....#........#...............................................#..#...............#...........#.....#...........#.#......#........#.#.#................#...........................#.#.#............................................#....#............#.................#.........#........#................#...#.....###............##..#...##............#.#.......#....#..#..#.........###..........#....
....#...#.##.........###....#...................#...................................#.................#.......#.........................#..#.......#......#..........#.................................#....#.........#..........#.........#....#..#.......#......................#..##.................#......#....#...................#.##....#................................#....#....#...#............................#....#....................#......#................................#...........#.........#...............#..#.........#...........#...#.............#.....................#........###.#..#.....................................#..........#...................#........#........#...##......#..............##...............#.....#....#.....#................#............#.......#............###...................#.....#.........#.........#..............#.#.....#.......................#.........#.#....#...........#.....#.....#..............
..................#.........##..#................##...............#..#.........#...#....#...................................................#..#..#..##......#................#....................#...#......#.....................#.#...............................#...#.......#.#.#..............#....##.......................#..........#...#..............#.#..........#.#.....##................##................#..#..#.....................##.....................................##..##....................#...............#...........................#...............................................#.##........................#...........#...........#..........#..........#......#.....#.#........#................#..............................#....#.#..#.........................#...........##....................#........#............#...........#.............#..........#....#..................................#...#......#........#......#......#..
....................#........................##........#..#........#.......#.#....................#........#........#.........................#....................#.#....................#..#................#................#..............#.....................#.........................#........#.......................#.##...#.....................#........#..............................................#...#......#.#..........#............#.....#.#.......#................#....#........#....#..............#.......#....#....#...................#.......#..................................#.#.........................#..............#..#...................#............................#.....#...............##...............##...#......#.................................................#...#..........#...#...#......#...#...............#...#..#.......#..#........#...............................#......................#..............#....#....#..#.
#..................#............#..#..........#.......#....#.....................................#....#...#....#.......#.....#...#..................#..................#..............................#.....#..#......#....................#...#........#.......#......................#....#.....###.............#..#........###.............#..#.....#..#.......#.##..#..#.................##..........#.................#......................#..............#........#..............#.........#.........................#.....#.........#.###..#...........#.....#......#..........................#...#..#....#...........#.#......#..#......#.......##............#...#..#.##...................#..#.#...#........................#...#......#....................#....#................................#....#........................#.#........#..........................#......#...................................#............#.....................#.................
....#.....#..............#..#.............................................#...........................#...............#....###............#......#.....................#..............#...........#.....#.............#..........................#.#....#..#...............................................#..#....#......##...............##.....#...............................#........##............#.............#..........#........#.#.....#...#...................#..............#...............#.........##..........#..................#......................#..............#..##...........#............................#...................#......#.#..#.....#........#........##.#......#...#.....#..............................#.#......#.#....#...................#.......#..........#...##.............................#.....#......#....................##...................#..........#...........##..................#...#...#......##.....................
.........##...............#.......#.....##............................#........##....................##........#...........#..#...........#....#........#.............#.#........#.............#......#.#...#.........#...................#.......#.#....#......................#..#...............#.#...................................#........#..#.............#..#.....................#.....#...........#...........##.......#......#.#..#...........##.......#....#.#.#..................#..#......................................#......#.........#.#.#........................#.....#..........#..#.................#.........#..........#........#...............#...#......#................###............#.........#.#......#........#....#..##..................##......#...........#.....#...........#...#........................#..........#......#.........#...............................................#........#......#....#...#............#..............
......#...#.....#........................#................#...#..........#..#....#..#.......#...#........................................#..............#....#...#.......#...........#............#........................#....#.....#.............#......................#.#...........#...........#..................#.#...........#..........#.#...##.........##...#....#....#.............................##.##.....#..........................#.............#....#..........................................#............#..............#.#..........#.....#..##.....##..............................#............#.............##..#........#.......#..#..#.....#.....#................................#...........#......#.....#...##......#.......#.........#.......#...#.................#...................#.....#................#...........#...........##.......#........##.............................#.............#..............................#..............
...............#.....#......#..........##......#...#.............#...................#.....##..............##...............#............#.#...#...............#......#..........#...........................#..................#.........................#..##...#..#......#................#....#....##......#............#...........#.#....##........#..#.......##...#..........#............##.....#...............#..##.#.#.#.......#........#.....#...........#.#......#....#...............#...........#...#........#.....#.......#..#..........................#.........................#......#....#...........................#..#..........#.#.#...............#...#............#...#.....##.........#........#.#.......#.......#.........#...#....#......#....................#.............................................#.#...........##..#.....................#...........#.#....#..............#..................#..................#......#..#..#.#....#....
........#.....#............#.....#........................#..#...................#.#.##.........#..........#...................#.........#........##.....#.....#..........#............##...........#..................................#.............#....................................#..#....#...............#..#...........................................#............#..................#.....#....#.#..#..#..................................#..#..............#..#...#............#..#.#...........#....#.....##.....#........#...............#.............#.......................#.#..........##..........#.#.....#...#...#...............#......#.#..........##..#.................#...........................#....................#....#.......................#.#.##..#....................#...........#...#.#.#........#..#....#......#........#.....#....................................#.....................#.................#.............................
..........#.......#..........#..#.##...#.............#.........#...#......##...#..##.....................................#...........#...#.....#......#..................#...#.................................................................................#.....##..........#.....#........#..............#.....................#.................#.#.#......#......#.....................#.................#..#....#......#...........#.#.....#......#..............................................#....##.......#..............#..#.....#............#...........#.....#....#...........##...............#.......#.#...................#.............................#........................................................#.............#...#.......#................#............#...........#.....#..............#.....#...#...............#...............##...................#............#.......#...............#..................#...#...........#............
.#.....#...........................................#....#.#...#.......#..#..#.........#..#....##.........#.................#...#.......##.........#........#.....#.......................#.............#.#..#................#.............#......#...........#.......#..#..#..#..................#........#..................#..............#...#.........#..........#.......#......#................#......#........#............#....#..##...............#.................#................................#..............##...#....#....#.#.................#...............#..............................#.#..#............#......#..#......#...##......#.............#...#.....##.....##.......##..#......#....#..........#..#...#...........................#.......................#......................#.......................##....#......#..#...#................#....#.....#...........................#....#...#....#......#...........#................#.#......
..................#....................##......#..#.....................#..#......#..................#.#..........#........#..........#................#.......#................#................................#....#.......##....#......#..........................#.........#...#.....#.....#.##...#.......................#....##..##..........................#.#..................#...#...#...........................................#..............#.................#...........................#....###...#.......#.....#.........#..#.....#............................#.##.#........#.......#..................##..........................#..........#...............#.............#..#.................##.....................#.......#...........#.............##....#.....#..##.........#....#..#.....................................#..........#...#.........................#..#..#.##...#..................#..............#.........#.....................#...
.#.............#..............#............#........#.#...............#......#......#.#...............#.....#..........#.........#....#...........#................#.....#..........................#...#......#........................#....................##.......................#........#......#...#................#...#...#........#.............#..#....#.......#..#............#........#.......#.#........#......................#......................#..............#.....#............#.........................#....................#......#............#............................#......................#...#...#...##.#..#..................#.......#....#..........................#..........#.......#.............#............#.#...................#..........#....#......................#.........#..#......#...............................#..................................#.#..........................................##...#.#..................
.............#..........#....#...................#...........#.........................................#...........#.#.....##................................................##.....#.##.....#........#...................#...........#...........#..#....#....#......................................#.#..#.#.##................##...#.......#....#.......................#.......#..#..#.......#.......#......#................#...........#........#......#...#.......#...........##.#...............#.......#...................#.............#.............................#.#.....................#.##...........##.....#.#....#...........#..........................##.............................#................#...#.................#.#.....#.........##............##........#.#.##....#.........#..............................#.......#..................#........#..................#...#............................#...#....##.....#..#.#..................#...
...##..........#.#...........#.....................#......#................................#.................##.......#......#..............#..........................#...##..............#..#............#..#...#..........#...................................#..#......#.......##..#.#..................#......##....#....#..............#.....................#......#.........#.........#.#............#...............#..........#......#...#..........#.....#..#.............#..........................................................#.................##.#.....#...............#.........##......#..........#.....#.......#.#.................#....................................#....#..#........#.................................#.......#....#............#............#..##....#...............#..............................................#..#.........#..............##.................#.....#........#.......#...........#.................#.............
...#...........................##.....................#.#..#....##....#..........#..............#......................##.........#.#..........#...##...#.#................#.........#........................................#............................##..#....#...#...#.............#...#.........##........#.....#.............................##.....#..........#..............#...#.................................#......#.......###.........##.............#..#.....#......................#...#.....#.........##..................#............#.......###......#.....##.........#............##.......#......................................#...#.##......#..........#.......#.#.........#....#............##...#...#.........#....................#........................#.#........#.....................#.............#...................#...#...##..#............................#.....................#.....#.......................#..#.................#..
.......#.......#.................#.....................#......#.....#...............................#...#........#....#...........##...#.....#.........#...#.........#..#.............................#..............#.....#...........#..............................#...#...#............#.##.............#....#........#...........#.....................#..#......#.........................#......#........#.#.##......#..........#.....#.....#....................#..#...#...#..................#........#..#.....................#............................#........#.#.#...#...........#.......#..................................#.#...........##.......#.............##...#......#....#...............#...#......#.........###.........#.#........#.............#......................#......#..........#.....#..............###...................................##..#...#...........#...#....#.#.#.......#............................................#...........
...............................#......#...........#.##..........#....................#....#..................#........#....#....#.....#.#.#..#..........#...#...#...#.............#...............#..#.....#......#............................#.........#...........#.......#...###.......#.....................................#....#....................###..#.........##..................#....#...........#..........................#.#.........#....#.............#..#...#.#.###..........#......................#.....#....#......#.#....#...........##.........#.....#.....................#...............#..............#.................................#.............................................................##...................#..#.....#....##.......................#...#.....#.##....#..............##................#..###...........#.#..#.#......................#......#....#......##...#..#...........#......#......................#..#.....#...
...........#...........#......#..........#.................#............#........#..#.#.......#........#.........................#.#.#.............#................................#.#.......#......................#........#....#..............#.................#.........#...........#.....#............#.#...#....#..............#......#.............................#................#..............#........................##.......#...........#....................................#........##......#..#......#.....#..................##.#....#.#...........###..#................#........##..............#......##...##.##..#........................#...............#.....#.....................#...........#.................#..#....##...#............................#.#.........#....#...#..##.......#..............#.....#...#.......................#...........#.........#...............##...............#.......#..#..#............#...................##.
...........................#..........#.#..........#...............#.......#......#....#....................#..#..................#..#...#...........#.....#..........................#.........................#....#.#.........#...............#.........#.........................###..............##....#.#..#..............#.......#.....................#............#......................#.........#.....#...#.......................#.............#.#.............#..#..#.....#.......#......................................#............#.#......#....................##.............#....#............#..#.....#.............#................#...........#.......#.##....#..................##....##....#..........................#........#........#.......................#........##.....#..........#..........#.........#...........#.........#.............#..##..#......#.#...#.............#..#...#..#..#.....#................#.......#.........#..##.......
..#......#................................#..........#...#......#......#...#...#..............#......#..................#..........#....#.........#..................#..............#.......##................#..............#..........#....#.#.........#.......................#.........#...#.......#.....#.............#..........#.#..............................#.....................#........#...................#.................................#.......................#...#..#.......#........#....##............#.....##.#.##......#..............................#.........#.....................#..........#..##.......................................#.........#....#.#..................#..#......#.................#....#...#.........#........................#............................#....##.#.##.........#....#....#.............................#.......#........#.......#.#..................##........#..........#..#.......#....#.................
#........#.......#......#..........#.......##...#..#............#.#...................#.......##..#........#.....##.........#............#.......###.#.............................#...........#..#......#...........#.#....................................................................#.#..#...................#...........#.........#........#...................#.................#..#................#..........#...#..........#........#..#.........#........#.#..................................#........#........#......#.......#.....##.............#...#.....#.....#..#.#......................#.......#......#..#.....#....#.#......#...................#..#.........#........#......#...#...#.....#........#....#............#....#...#......#.....#......#.....#..........#................#..................................................#......#..#..............#..........#......................#.......#...........#...........#......#................
.......#...................#................#.................#..#...........#.......#....#...................#...#..................#.......#.........#....................#...#.........#...#....##....................#....#.........#...#....#......#................#........#........#........#................................#.#........#........................#...#.........#......#.......#..#........#..............................................................................##...............#.#..........#.........#.......#........#...............................#...#..#.#..#........#.#..#.#.....##........#...#....................#..........#...............#............#...............#....#............#............#...#.#.............#................##..............#......#.................#..............#...#..#..#.#......#.....................................#....#..#........#...#............................#.................#..
.............#....#.....#...........#..#..#.##.#......#.#....#..#..#.....#.....#........#............#.......#.....#...#..........................#.....#..#............#................#................#...............#.....#.....#......#...#........#..#......#................#.#.............#.............#..#........#...#...........##...#.........#.................#......#.#.....#..........#...#.##.......................#.....#..........#.#......##.....#....#.......#..........................#.#.#............#............#.................#........#...#.................................................#.......#.........#.#...#..#.........#.#.................................#...##............#.......................##.#..#...........#.........#................................#....................#.#..............#.......#.......................#......#......................##..#....................#...#.....#..#..................#....
......#..........#.........................#....#.....................#...#.....................#....#.....................#........#...............#.....##......................................................#................#..##.#..#.....#.......#.#..........#...##.....#...................#.................#.............#.......#............#.#..........#.........#..#.##................#.#....#...........#......................#......#............###.......#..#...............................#...........#........#......#....................#....##.#..#.................#..#........#..#........#....#........#...#.....#......................#.........#..#.......#....................................#........#...#..........##..#...#.........#.......#...............##.....#.....#...........##...........#.....#...........#..............##....................#....................#.......#...#.......#..........................#.....#......
.#....#.............#.............................##.................#.....##....#.......#.....##............##.....#.##.......#...............#......................#........##...#.......#.#.....#.......#...#....###..###............#..................#.....................................#.....#.....#..#........................................#....#......#...................#..##.....................##..................#......#......#..............................#.....#......#.#...............................#.#..............#....#.........##.#....#.........##....#.....................#.#..............#.#.............#.#.......##.#.#................#..............#.........#.....#.........................#...........#.....#...............................##..#....#......................#.#.##.#.....#.#....#...#................#............#......#..................#.......#..#........#......#...............................#.........
.............................#....#............#..........#................................#...........#.....#................##...............#.....#...........#.........................#....##.......##....##....#..#..#..........#..........#........#.......#.......................#..#............................#.#......................#.......................#....................................#...#.#..#.#.......................#.....#.........#...................#..........#.......#..#...........#.....#..................#.........#........................#..#...........................#.........#...............................#.......#.....##......#....#.........#........#......................#.............##.#.........#.........#..........#........##........#...#......#.............................................#......#.......#...#......#............#........#....#........#.........#.#...............#...............#.#.#.#..#
.........#................................#.............#..................#....#.........##......#....................#.........#......#.................#.#...............#..#..#.............................##.......#.#...........#.....#..##.#..........#.....#...........#................#..........................#.......................#.........##...#.......#..#..........#..................#.#..........#..............#...#.#......#.#...#....#.........#................#...................#....#..#........................#...............#..#...##........#....................................#.......#.............#........#...#.........#.#...................#.....................#.......#.....##.......#......#......#..#...........#...........#....#...#..#.............#.................#.#.............................#...#........#...........#.....#.......#.................................#.........................#......#......#......
..#.........#...#.#....#........#..#............#...........#.....................#.............#....#.......#.......................#....#........#............#..#.....#.....##......#....................#...........###.#....#..........#........#....#..###..#.........#........#....#.....................#..........#........#....#.........................#...............#.......#...#.#.#..............#...#.......#...#......................#.....#...##...#.......#.#...........#...........#.......#..............#.#........##.#...#.........#....#.#.............#..#.....#.........#................#.....#...#............................................................#..................#..#......#....#....................#.......................#............................#..................................#.#........................##...#...#.#...#................#......#.......#.......#..........#..........#.......................#......
..#...#........#..........#............#.....#............#...............#.#.......#..........#..#..#...#.......................#...........................#..#.........##..#..................#....................#.........##....#..................................#...#.........#........#........#.#.........#..........#..............................###..................#...............#.......#.............#.................................#..#........##.......................#...#..................#....#..........##........#......#............#.....#...#...#..........#..#.#..............#..............................#..........#..............#..................#.#.............#...#.#.........................##...#.......................#......#......#..........#......................#......#................#..#...............#.......#...............................#...#...#..........#........................#...#......#...........#
...#...................#..............#.......#..#.#.....#.........................#........#....#.......#.......#................#.............................#..............#.#.....#.........#..........#..........##.........#...#.............#.....................#...................##...##.............#.......##......#..........#.#........#................#.......#..#...#..............#.#.#...#.......##......................#..#......#...........##............#..#..........#.........#................................#........#....................#.................#..................................#............#....#...##.#...#...................#....................#........................#...#.........#.#......................#................##..#...............##......................#...#.#..#...#..##........................##.#..................#........#..#..........#.....#..#.......#..#.......................#.......#.....
.#..........##............#..#........#......#..............#.....#...........#...#...........................##............#..........................#...#......#..#..........#.......#....#........#..#..#...#...............#....#...#.#..#.##.....#...#............###..#..#.....#........#..#..#...........#...........#......#.#..#.#..#....#.....#.#.........#..#...........#..............#.......#...........#........#...##............##.#.....#........#.#..#......#...#.......................#.....#......................#...........................#....#....................#....................#.........#.....#.......##...#..#.............#...###.........#......#..............#..#..#...................#...#.#......................#..#...##....#.........................................#...........#.................#...........#........##......#.#.........#..............#...#.....#....#....#...##..#..............#.#......#.......#.#.......#
.....#.#...................##......#...............#..#..........................#....#................#...#..#............#..#...........#.#.#.##.#....#......................#..#....#......#.................................#..............#..........#.#...#.#.........#..............#.......#...........#.........................#...............#.....#...............#.......#...#....#...#...#..........................##.....#...........#................#............#..#..........#.......................#..................#.#...............#.#......#....#..............#.............##...............#................#........##.......................#..............#.#....................#............#......#.#..#........#.............#........#.....#........................#..#...........#...............#................##....#..#................#.................#.....##....#.............###.#..#.#.......#....#...............#..........
.......#...........#.........#.............#....#.#.......................#......#...............................#.........#.....#............##..........#......#...#...#..................#.....................#..................#.......##.....#.......#....#......#....#...................#................##............................#.#............#........................#........#.#.....#....#....................#...#.....................................#.#....#............#...#..#....................#...............#...#..............#.....................#....#.......#..#.........#................#.#............#.#....#......##...#..##......................#...............#.......#...................#..........#.............#........................#.........................................#.....##...#..#.....................#.......................#........#.##.................#..#.....................#.....#..#.....#..........
...........................#............#............#...........#...#.#...#.......##............................................#............#...........#..#............#...............#...#...#........#............#.........#.....#...............#......................#..........#....#...............#.#.......................#......#..............................#.##.......#..#.##...........#......................#........#..............#........###.#........................##....##...#.........#....#...........#....#........#...........................................#....##..#.#..............####.......................#.#......................#......#...#.#....##.#....#..........#.#..........##.....#......#.......##.......#.#..#..........#........#.......................#...............#....................#...............................#........#..................#.....#....................#...................#..........#......
.........##.............#.........#.................................#.#.......#....#.......#.#.............#.#.....#...................#........#....................#.................#.........#................................#...............................#................##....................#.....#...#.......#............#.........#........................#.......#.#...............##...............#............#.........#..........#....##.........#................#........#.........#...#.#...#...........................#..............................#...........##.........##.#....#.......................#..........#...#........................#...#.......##..................##.......................#..........#...............................#...#..#.....#.....#...............#.....#.....###.......#...#.....#...#..............#.............#....#..................#..........................#....##......#.#....#...#...............
....#...#............#.............#..................#....#...........#.................#.......##..#.....#..#..#.....................#..........#....#....#..................#....#..........#.....#.......#...................#..............#....#........#.......#..........#.#........#.......#................#.....#..#..........#.#................#........#...................#.#..............#.....#.#..##.......#......##.#...........#.#........#........................#..#.....................#....##.............#...#............................##.................................................#.#...............#..#............#........#.....................................#..........#.............#.............#..............................#.......................#..............#...........#.......#..........#........................#.......................................#..................#....#.#...............#...#...#....#...#
..#.#............#..##.........#...................#..#.................#...#.#...................#.#...........#...............#............#............#..........##.##...##............#.....##.....#...#.....#.......................#...........................#.....#...#...........##.........#.....#.........................................#.....#.........................#..#.#.###.......#...........#..................................................#............#...#..##.......#.......................#...................#.......#.....#...............................#............#....#.................................#..#................###............#...........#.#....#.......#.............#.....#....#..#..#........#....#.................#.#.............#...........#......#.....#............................#......#............###..............#...........#....#....##....................##.......................#..#................
.......................#..........................#.....#.....#..........#....................#......................#.#.....#.#................#.#.......#.......................#......#..........#.................................#...##......#..#.........#.#.#.........#........................#...................##...................#..#.........#.#........#......#.....#...#..........#........................##............#......#.#......#.....#...........................#..............#............#........#.....#..................#.......#.......................#.................#............................................#...................#......#..#.....##........#.....#...#.........#.#...#......#..........##...#....#.........................#.##....#...........#..#...............#.....#.#.........#.......#...........##....#.#.#............#........#...................#..............##..#........#.#...#..........#.......#.....
.......#............#...........#.#.#.......#....#.#.............................#..........####............#.#..#...#.....#..........#.....................................................#.............###....#.....###.#..##......#..................#....#...#............##..#.#....#..............#.........#....#.............#..#.#.....................##.#...........#..............#.....#....................#...#.....#..#..#...#....#.....#...........#..#...#..#.......#...............#............................................#...#.....#.......................#..#..#............#......#........#....#.#..............................#.......##....#...#..#...#..#.............###..........#..............#...#.....#..#...................#.#......##.....................#...........#.....#......................##............#.#.#..#......#................#..#...................#......#............................................#...........
....#................#......#..................#.#...........#..........#..........#.##....#....................................#.#............#..................#............................#............#.....##....##....#...................#.#.............#.....................#......#...#......#..................#........#........##..........#....#.........#..............#.................#.......##............#.#.......#...................#..........#......#.#.................#................#.#..................#...........#.....#..#....##................#.........##..........#........................#....#......#...#............#.....#.....#....................#.#..#....#.........#...#..#...........##.....................#......#...#..#......................#..##.........#.........................#.##..#............#........#.#.....#...#.#..............#...........#.......................###..#............#.#...#....#.........
....#...#..........#..#.#..#..................#.......................#......#...#.##.............#.................#.#...#.............#...........#.....#...............#......................................................##.....#..................................................................................................#..............................##..#.............................#.#..#.......#....................#....#.....#.................#...................##................#..............##..................#....#.............#..................#...#.................#...#...................................#....#.......#...#..........#.........#............................##.......................#.............#.#....#..........#......#...#.......#...........#..#.....#..............................#.........#................................#...............#.....................#..#...................................
..........#.#....#.....#.#......#.......#.#..................#...#............#..#.............................##......#.................................#..#.....##.................#................#.........................#.#.#........#........#...........#....#...#...#.........#..................#.........#....#......#.#....................#.........#.#..#....#...........#....#...#..#..........#................##.......#.##.............#....#....#..............................#................#.......................#..#...................#.##.#........................#....#.....#....#..#.....#.........#.....................#.....#............................#...........#.........#......................#..#........#........#...#......#....................#..........#.....#.#...#....#..#.....................#....................#.................#.....#....#...#...................................#.##....#...........................
......#..#......#............................#.........#....#............#..#....................................................#...#...................................#................#.....#..#..#...#...#......#...........#............#...........##....#.##.....#..................#............#..#..##.#........................##.......#.....#................#.#............................#.....#..........#.....................##.................#...#.....#............#.......#.........#..............#.........#...#.......#.#....#......#.........#.....................#..............#..................#..##..#.........#.........................#..#........#..........#.......##......................#....................#.........##....#....#.................................................#..............#......#........##........#......#............#.#.........#....#........................#.#.................#.......................
.....#........##..#.......#.......#...........##..#...#........##...##...........#........#...........#..#.....##....#.................#.......#...#.............#..............................................................#...#....................#.......................#......#............##..##........#.......#..............#...........#...........#.#............#..............#..#..#............#.#.##..............#........#.............................................#..#.....#..............#...#.........................#.....##...............##.....#....#........#.#.......#.........#.............#............#.#........#...#.....................#..#...............#.......#...#...#....#................#....#.....#.............#.#...........................................#.........#...#.......#...#......................#...#.......#.....#...........................#.........#.#....##....#.....#........#..#.#....................
.....#......#...#...#................#.....#...............................#..#.......#...#..........#.........#............#.............#...#.......................##.............#.....#..........#.......#..#.....#..................#..............#.......................#....#....#...................................................#.....#................#.....#.......#.......#..............#.......#.................##........#.............#.......#............#...#..#....#.........##...............#......#..........#.........................#...#...............#.........##..#....#...#.....................................................#...#........#...........#....##.......#.......................#..............##...##.......#...#........#....................#..#..............##....#....................#................#.............#..#.......#..#..#..........#...........#...................#.......#......##......................
..........##.#............##...........#.............#....#.##.#.#.....#.............#...........#.#.........#...........#...#..........#.........#..#.......................#.....#............#.......#.#.............#......................##.........................................#.#.........#..........................#...##.........#...........#....................................................#..#............#....................#....#...#..........#....................#.....#...................................#...#............#...................................#...........#...#........#..........#....#.........#..#....##..............................#..........#.#...#..................#.#...............#.#..............#........#.....................................#..........#...#.......#..#........#...........#...........#.#..............#.......#..#..#.##........#...#.....#.....#........#....#..................#......#.....
.............#.#..#.......#...................................................................#.#..........#......................#...#.......#........##........#.......#....#..........#.......#.##.....##.................##.........#.#.................##.........#............#....#..#.....#.#.....#........................#...................#.........#....#................#..#......#....#.....#..............###................#...............#.......#.............#......#...#.#...............#.....#...........#..........#..............##......#..............................#................................#...#.......#.#.#..#......#..#......#.................##............#.............................##...#......................#...............#.....#.........#.#........##........................#...#.............#..#.............#.........#...............#...#......#..#.................#...............#.............................
.#.........#.#.......#.........#.........#...#.......#..#........#..#...................#......##................#......#...........#......#..............#..........#.....#.#......#.#....#.................#..........#..#..#.......#....#..............#.#.......#.........................#........#........##........................#........#.......#.#....#..................#.....#.#...#.......#................#.....#.#...#...............#.##...........................#..............#.........#....#....##.#.......#............#...#....................#........#.......................#...............#..#...............##...........#....#.........##............#...#..#..#........#.............#...........#.....................#.........#..#.......#.........#.....#..................##.....#.#.......................#.#.........#.##.#......#..................##..#.....#..........#...............................................................
......##..............##...#..#....................##................#.....#.......................##.#.....................#...#.#............#.........#.......#.............................#.......#.......#...................#.......................#....#..##.....##................................#...##.....................#....#.#.#...........#..........#............#.......##..................................#..........#........##.#.#........#....#................##......#....##...................#...#.....#..........##........#...#.#......#...................##.#...#..................................................#..#........#..............#......#.........#...#..............#.##...#.........#..................#.#........#.........................................................#...................#..........#............#........................#.#......#................#.#.#...........#...............................#.......
........##....................##...#.....#............#........#......##........#....#...........................##.........#.........#....#...#...........................................................#.................#................#...#.......#..............................#............#.......#..#....................#.....#................#..##.#.#.....#.......................#.........#.....#................#.#...................#..#.............##..#..........#......#.....#......#...............#..#.............................#...........#......##.#.......#....................................#.................#......#.###...........#...#..........................#...#.............#.........##.......#...#.................#...#.#......................#.............................#......#.......#.....................................#.........................#...#...##...#..#.........#..#...#....#...#..#.................#.#..
.#....#.#.............#..........#....#.....#.#.#....#.##.........#......................#..#.......................................#.#......##..#.....#......#.................#...............##....#.............................#.........#.#.##......#.........#...........#...#.................#.......................#........................#.............#.#...............................#.#................#.....##..##................................#...............................#..............................##...#.....................#.......#..#...........#..###...............##............................#............................................#............#....#...##.........##...##..........##...........##...................................................#....#...................#..............#......#..................#..#.........#..#...........#..................#..............#................#....##..........##....
#.............#...........................#....#......#...#...............................#.#...#..........#..#......#...........#...#.....#.......#...#.......##....#.....#.......................#....#........#.#.#......#..#......#..#..#....#.......#...........................#................................................#.....#.#....#.......#..#.......#........#.....#..#.#....#.....#.......#........#.............#...................#........##...#...#.#............#.......#................#..#...#.....#...........##...#...#.#......#...................................#.....#.............#................#......#...............#.........#......#................#........................##....#.....#....#................#.#......#....#........#...#...#...........#........#.......#.#.....##.............................#.....#........##.#..................#......................#..........#..#....#......#.........#.....#......#........
...#.....#......#.....#..#....#.............#..#.....................#...#...#.....#..#..............##..........#..........#......#.............#...##...................#...........#..#...#................#..............#....#..................................................#.................#......#.##...#........................###............#..#..#...#.#...................#............#.........#........#.....#............#..............#...........#....#.......#.......................#.......................#....#......................#...........#.........#....................#.................#.#..#...#.#.....#....#................#...#..............................#..#.................#...................................................#....#...............#...............#.................#..#.......#.....#....................................##....#........#..............#.................#..........#.......#............#.
...#.....#........#.....#.............#........#........#.#.#.......#.........#...........#....#.#.#.#..................#.....#..#.....#....#....#..#...#......#..#.........#..#.........................#....#.....#.#...........#.........#................................#............#.#..............#..................#...#.#.....#.....................#.......##...............#................#........#..............#...................#....#........#........#.#...##.#.............##......#...#....#....#.......................................#................#......#...#......#..................................#....#.....#........#...#.......#...........#...................#..##..............#.....#................#....##.#....#........................................#..#.........###............................#.............#........#......#.........#......................#............#............#..#...............................#..
..............#.........#...................#..#........#....#.....................#............#...................#..............................##.......................#............#......#....#..............#...........................#.........#..#......#.#.......#..............#..................#...........#...............#.#....#.......##.#.##........#...#....#......#........#.........#........##..............#.............#.........................#...#..................##.........#...........#......................#.....................#...........#...#........................#.......#....................#........#.............#..................#..#...#....#................##......#....#.#...#..........##.......#...#.#....#.......................#..#......#..........#...#........#....#...##....#........#....#......#.....#....#...#..............#..#.......#.....................#.....#..............................#........
....................#.......#.......#....#.........#....#..#..#.................................#......................#..#..#............#.....#...#...#..#..#.................................#........#.....#.........#........#.#.....#.#.#..........#............#...#...........................#.....................#..........#...#....#...#.....#.......................##....#...........#......#.#....#.#...........#..........#...................#................#....##..........#.................#..#.........#....#..................#..#............#........#...#......##........#......#....#........#.#......#...#.....#....#.................#................#..........#...#.................#..#.#..#.....#......##......#.....#....#............#....#.....................#.........................................................#.#.......................#........#.#...##.....#...#...............#...#....#.#.............###.......#.#.#......
......#..........##.....#...........#....................#...#..#..........#..........#.....#.....#................#.........#..........#.....#..........#.................#.........#...#......#........................#....#.#..............#....#.#.......................#.....#........#....#....................#.........#................#......................#..........#.....#......#...........#........#...#.#..#..#.................................#.....#.....#..#.........##............#.............#........#..#....#...#............#....#........#.........#...........................#....#.............#............#.........................#.......#....................#.....................#.........#............#.............#..#......#.................................................#.......#................#..........#....#.................................#.......#............#.....................................................
..........................................#..#...#...........#..............#...................................#.....#.#..#.............#..#.#........#..........#..#....##......##..#.........#..........#.......#.....................................#.#...........##..##..#....#..#..................................#....#...#..#...........#..#......#..#.....#....#.........................#...........#...................#.#..#...##.#.........#.......................................#........#............................#.....#....#..#.........#......#..................#.......#..............#...#.....##....................#...........#............#..#................................#..............#...#.#.....#........#...#.#.........................#........#..........#....###.............#......#..............................................#........#..#....#....................#........#.............###...............#..................
..........#.#.#..#..#...#.......................#...........#..........................#...#.#.#.........##...#............#.............#..#.##.....#...#..#..#.#....#.............................................#...#.........#.#....#......................##....#....#....#.....#..#.............#.............#.................#...........................#........#...........##...#................#...#...........#.....#...........#..#.........#.............#.................................#...........#.....##..................#.........#..#..#.....#..........#...................#...................#...........#..........#.....................................#..........#...........................#...........................#........#........#...............#.#..#..#...........#.....##.........###........#..........#.......##...........#.............#...............................##.......#........#..#..............#.......#..........
.....#.....#..................#...........#....#.........................#...............#...............#.............#.............................##...#........#.....................#....#..#......#..................#...........#..#..................#.....#..............#........#.............#.........#.#...............#..#..#........#.................................#...........................#...............#..........#.............................................#.........#..................#..##..............#................#.......#..........#..#...#...........................#.....#....................#.............#............#....#..............................................###.......#..#.#...............#.................#.....#.#...................#.#..........#.......#.#....#.#.........................#....#.............#......#..#.......#.....#....#...................#.....#......#.#...........#..................
........................#...#..#.............#..........#......#....#.#...........................................#......#.........#..........#..#.....#......................#......#...............#............#..................#.....#........#...................#.............#......................#..#.......#......#....#...#..........#..#..##..........#..#..................#.................................#........#..............................#................#.....#................#..#.....#..........#..........##.....##...........#........................................#...........#...#....#..#.......#...........#..#...........#.............#............#..........#......#..##................#...........#..#..........#........#...##..#......#...#.....##..................#.......##..#..........#....#.#.........#.#.#...........#.......................................#...............#......#...........#....................#....
..........#...#....#.....##.....#....................#........#....................#..#.......#.....#....................#........#.#...............#..............#....#........#.....#................#..##.........#.........#...#....#...............##............##.........#......##..#..............................#..#....................#..............#..###..#.#.............#..#.............#.............................................#......##.....................#.##..............#.#............................#...#.......##.......#...#..........#...#...........#.#.#...............#...#...................#....................................#................#............#......#.....#.........#..........................#....#.....#..............#....#..............#........................#..#..........................#.....#.........#...........###...#.......#..##.......#..#.................#.................#...............#..
....#..................#.............#...#............#.........##...#.#......##....#...........#...............#.........................................................#........#..........#.##...##......#..#.#..................#....................................#..............#......................#..............#......##........................#.....#....#...#........#...........................#.....................#.##....#.#...#............##.........#.....................##......#..............#...............#.....#................#.#....................#..................#.......................#.....#.....#.#...............#.#...............#.............#...........#...#.........................#...................#.................#......................#...................#.......#...#...........#.#.............#.................##..#........#....#............#.....#....##.....#....#.........#.........#..........#....
.....#.....#..#..#...#.......#..........#..#............................#....#..................#.....##........#.................#............#.#..........#.........#............##..................#...........................#..#.#..#...............#.#..#......................#..........#...#......................#........#...#......#...........#..#.....................#.....#...#............#...................#...#........#...........#....#................#..#...#........#.............#........#......#........................#..#........##....#.........#........#...........#...##....##.....#...#.........#............#.......##....##........#.............#......#..............#....#..............#........#....#......................#......#..............#.................#...#....#..#.#...#.........#..#.............#.....................##.#....................#....................##...#...#....#..........#...................##...
................#.......#.#............................#...##...................#....##.............#....#....##..#......#......#.......#...................#...................##.#........................#.................##.......#....#...#...#.....................#..#...#......#....#...............#................................#.........#..........#.....................#...........#........................##.#.........#..................#..................#..........##....##.....#...............#..........................#....#............#.........................#..........#.................#.................#.................#........#...................#......#.............##....#..#.......#............#..#...#....................................#...............#................#....................................#......................#.....#.........#...........#.......#..#.................................#.......#.......
..........#...............#......#..........................#...................................#...#..#...................#.........................#.............#......#...#............#.....#..........#......#.....................##........#.....#.#..#.......#..........#.##...........##.......#..#..#........#.#....#....#..............#........#.#.....#.#.............................#..........#..........................#.............#...................##..#..................................#......#....#.............#...................#.#.....#...........#......#..#..#...#.........#.....#..........##.....#.........#..#.................#.........#.........................#....................................#..........#.......#....#.#...........#.........#...#.........#.........#.....#......#..........####................#....#....#.#.......................................#...........#..........#............#......................
.........................#.........#........##...#...............#........................#.#......##....#...............#.....#........#........................#.....#.......#.#......#.#.......#....#...#..........#.#......#........................#.#................#...#............#..#.......................#.............#........#.............#...........#...............#..........#.....#.##.......#...............................................................##.#...#.....#....#.......#.....#...#............#......#..#......####...................#..............#..#......#...##.#........#......#...#....#...........................................#.....................##..#..............#..#....#.....#...#.#...............#...........................#..........................#.......#............#..#..............#...............................#.#.....#...............#......#....................#........................#........
..........#..............#.............#............#.#....#......#........#.#....#.........#........#.........#.......#..................#..........#..........................................#.....................................#....#................#.....#..#.#......................#..#.......................................###....#............#...............#...##.#.#.#..#.#...............#.#..#..#.#..........#..............#......#.................#....#.....#........##......##.#..............#........................#...........#......##.#............................#.#.....#..........#....#.......#...##......#.#....#..#.#......#.......................................#....#..............#..#............................................#....#............#.............................#.....#..............#.......#...##..#....#...#.......................#.......#.............#.........#...................................#...#.....
.............#......#.....#.........#.....................#........#......#.............#...........................#.#..#...................#........#.....#...........#.##..#....#..#....#..#........#........#....#...#....#.............#.........#.........#............#.........#....................#...............#..##.#...#..............#.#........#...#........#...........................................#...................##....#....#..#............................#..#........................................#........#.......#........#....##.#............................#......#.#.............#..........#....#.............#...#............................#..##.....#....................#.............#......#...#...............#.#.##...........#..................#......#.......#...#..........##........#......#.#....#..#.#...#.#...#...........................##......#.................#.............#.....#.........#.........##.........
....#.......#..................#........#....#.#...#....#.....#...................#..#..................#.....#...........#.#...#.........#.........#............................#..........................##.........#........#.......#............................#.......................#......#.#..#.#...#.............#......#.....#.#...................#.#...#.........#...............#.....#...#..................#........#..#.#...........#.......................................#....#...#.....#...........................#...#....................#....#...........................#.........#...........#....#.........#..#..............#...#..##.......#......#...................#......#.............#....#.........................##............#..........#...#...#......#.......................#..........#..#........#.........#..............................#....#............#............#......................#...........#....#.##..............
.........#....#...#.........#....#........................##..........#..............#......................................#.....#.#..#......................................#....................#......#...#...........#..#...........#............#...................#..............#...........#............................................#..##...................###..#.................#......#...................#..#..#........##....#...#.....#..........#..#.......##.............#.#.#..........#.#.#.......................#...........#.........#.......#......#............#.#..............#.....#......#.............#..#..#............................#.#.....#..#............#...#..#...#...........#....#...........#.......#..........#.#...........#...#......................##.#.......#....#............#........................#.......#............#.......#......................#..#...#...........#.......#...#................#............#...
.........##...........#................................#..........#.......#.........................#...........#..........##.........#............#.#...#....#...............#......#..........#......#...............#...........#....##..#.......................#....#.............#.##.................#....#..#....#.....................................#...#..........#...........................#...#.....#...#...#...........#...........................#..............#..#..........#....#.........#.......#.........##.......#....#.........#.......#..............#..............#....................#..##.....#........##.......#........#........#............#..........#.......#......#...#.....##..................#..................##.....###......#.........##..........#........#..............................#......#..........#.........##.#.........#..........#............#..........#.............#...#.........#................##...............
.............#........#.......#..#.............#...#............#.#.........#......#..#.#.........#....#............................#..........#.#........##............................#..........#............#..........#......#..........................#............#.....#..............#..##......##......#....................#..#..#.....#............#.#......#.#.........................................#....##.................................#........................#...........#......................................#....#...#.#...#...##......#.....#...........#.......#..#.#.##..............###.........#.........#...#..........#.......#..#.......................#....#...........#.#.......................#................#..........#.........##.....#.....................................##........##....#...................#.....#.....#....#........#..................................#.........................#.#..........................
........#...................#.............#.....#.............#.#.........................#.........................#.........#..#..#.....#...........#................#.........#.#....#..#.........#......#.#..#....#...#..#............................##.#...#.........#......#.............#....#................#.#.#........#.....#........#.............##...............#........###......#................#.....................#......#..#...#..#...................#............#...#......#.....#....#.................................#...................##.................#.....................#.#....................##..#...........................#......#..#.....#......#...#.....#........#......#.....#....#...........#........#....................................#.......................#......................#....#.......#...#......#..#...#..................#..#....#....................................##.........#............#....#....#....
............##..............#...........#...........................#...#...#.#......#.#................#............#......###.....................#.#......#..............#.......#....#...#.................................#.....#..............#...#.......................##..#.......#.......#...................................................#.#.#.............................#.....................#....#....#.....#...##..#.........#.....#.#.....#...........................................#............................#......................#........#.......#........#.....#.........#...........................#....#..........#...#..#......................#.....#.......#...........##..............#.............##................................#.............#..#................#...#........#........................#.........#..........#...........#.#..........##.#...............#...........................#...................#.......#...
#.#.#......#......#............##..#...#..#............#.....#....#............#...............#........................#..................#......#.....................#.#........#.............##.#............................#...........#...........#.........#......#...................#.......#.#.........................#..#.....#.##...##........#..#..........................#.#.......................#.....................#...........#......#..................#....##................#...........#.......#...........#.....#...........#.....##.......##...##....#.............#............#........#..............###.......##..........#..#...#..........................#............#......#...................###......#.........#.......#............#...........#..#....................#............#.....#...............##................................#..............................#...#................#.........#.#......#............##......
.....#...#....#.#.......#.........#...#...........................#..............#...............#.###.......#........................#........#........#.#.#.....#.................#..............................##...#..................#.............#...#...............##.#....#..#.........#...........#####...............#.....#..#..##.....#.......................#............#...#.......................#........................##....#..#.....#....#..#.........#............#.#..#..#.#.#..................#........#..#......#.....##..............##............##........................................................#......#.........###..#.#...#.......................................#.....#..............#.........#..........................#....#.....##...#.#.............#.......................................#...##...............#.........................#....#.....#.......#..........#...#............#.#......#......##................
.....#..................#.................#........#.......................#..............#............................................#...#.......#......#....#.......#........................#.......#........##.#....#............##.........................#....#.#......................#....................#........#.......#...........................................#.............#....#............#..#.......#.......#...........#..................#........#.......#..#.....#..#..................##....................#..#..........#...#.........................................#..##.........##..................#..#......#.............#.........#.......#..#..................#....#.........................................#............#........#.....##...#...........................#..#...........#...........##...#.#........#..........#.....#......................................##....#......#.##.#.......#..................................
..........................................................#...........#.......#.##.......#.#...............#................#.#..................................#..........#.........#........................#.....#...#.............##.............#..................#.#.............................#.....#...#...##...........##.........#...............................#...#...........................#.......#..........#......#...#...........#........#...#.#...........................#...##...........................#..#......#.#......#.....#.....#...#..............#..............#.......................#...................#..#........#...#.....................................#.#...........#...#...............#..................#.................#....#...#........#.##....................#..........#.....................#.##...#..........#...............#........#.........#......#.........#.........................#......#..#........#....#
......#.....#..................#...........#.......#...............#.......................#.............#..#.........#............................................#.......#..........#................#......#..#....................#...#......#.......#...#.#............................#......#..................#..........#....................#..#........#....#.......................#...............#.........#...#....#......................#...#..........#.....#...............#............#.#.......#.........................................#....................#.#...............................................##.#.................#.............#...............##....#....#................#.........................................#.......#...............................................................###.........#...................#.........##.......##..#..#..............................#.....#.........#.....................##...........
..............#...#........#.........#.#............#........#..#...#......................................#.......#...........#....................##.#..........#................................#.......#................#.......#..#...........#............#.....#..#...#......#.....#...............................#.....##...##.............#.......................#.......#....#....#.......................................##..#.........#...#.#.#.......#.......#......#...........#......#....................#.......#..#.....#.....##..#..#............................................##...#..........#..##........#...#.......#.............#....................#.................#...#..#................#..........#....##...#.......#...............#...#..................#...#......#.......#.#.........#....#..........#.....................#...................##.....................................#....##...#...#.......#........#.................#.
...................#.#....#...#..........#............................#...#.......#..........#..........#.............#.............#..#....#...........#.........................#.....................#..........#....#..#.#.................#.......................#....#......#.#...#...#.....#.#.#.....#...#.................................#......###.................................................#..#..#.....................#..........................#.....#...#..#.....##.......#...........#....#.........#..............#......#......#....................#....#..#...............#..#...##............#..#......#......#....#.......#......#..........#......#.......................................#......#.#.............#..##...#....#.......#.......................#..............#.#.......#................................#.....#.........#....................#.#.....................#..#.##...#.......#....#..#............#.#.....#.........#....
......#............................#......#............#..........#..........................#................#........#...#.....................................................#.#....................#.....#................................#......#...#..........................###.......##...........................#....#..#.#..#.#..................................#..............#...#...............#.....................#.........................#....#......##..............#............#.......#......................#.................#.......#........................#.....#....##.........#...#.#....................#..............#.#..#....#.......#.#..........#...........................#................................#..#..............#.......#...#.............#....#.......#..#......#....##..............#...............#..#........#.....................#........#.##......#.........#....#...................#....#............#........
...#........#....#.....................#.....#..........#......#......................#......#.........#................#...........................#....#.............................................##..#.....#.#.......#.......#.#...............#.............................#......#...............#...............#..#.##...#...............................#.....................#...........................##..#........................#...#................................#.........#....#.....#........#............................##.............#...#...#....#.#...........#...#..............#...#..............................#...#...............#............#..................#.........#.................##...#..#..#....#..............#.........#....#.#...............................#.....#..#.....#...........................................#................................#.............................#.....#....#............#............#
........#.............................#.......#............#.#....................##......................#....#.#........##...........#..#..#.....#........#...#..#...#................#.#.................#.........#.#......#............................#..................#.................#........#.................................#.......#....#........#............#...#.....#.....#....##.....#..........................#......#...........#...#..................#.....#.........#...........#..#.#.#.##.....#..#...........#....#........#..............#.......#....#............#...........#...#......#.......#.#.........#..#....#.........................#...............###.......#.....#...................#..#.....#...............#.#......#..................##.......#...#....#..#....##..#..........#..#......#......##...........#........#..#...##.............................................#...#.#..........#.#......##..........#.#.........#.#
.......#...............#..#..#.#...#.....#.......................#.............................................#.....#....................#................#..#..........#...............................#...##.#.................#...............#...........#.................................#..#......................#.....#...#...........................#..#.......................##................................................#................#........#........#...............#..........#..........#.......#..........#....##.#.....##......#..........#..#.....................#..........#.......#..................................................................#..#.#..............................#.....................#..............#.#..............#.........#.................................#.........##......#.#....#.................#..............#..............#.#...#.....#..#..#........#.......#......#...#..........#..........#......
#..#......#...#..............#.........................#.......................#..#.#.......#.....#.#.....................#...........#...........#.#................#...............#..............................#..................#............#.#...#........#...#........#.......#.#.##...............#...........#...#.....#.............#...........#...............................#...........................#..................#..............#..#................................#..#.....#..........#............#.#...#.....##...............#..#.............#.......................#.......................##...#.......#....#...................##.#.......#.........#.........##................#..............#....##..##..........#..........#................#.........#..............#................#...............#..#..#.#......................#.#...............#.............#....#.#.............#.........................#.................#...
#.............#....#....#........#............#.#.............#....#......#.#......#..............................................#..........#.......................#.................#.#...#..#..............#........#..#..#............#............#.........#..................#........#..##..##...#.#....#...............#.....#........#.........#..##........#....#...............#.##.....#......#...#..#.#.#............#.....#......#...........................#...#.............#............#...#...........#...#.#....#..#...........................#.......................................#..................#...................##...#......#..............................#........................................#.........#..#..#...........#.....................#.......#........#..................................#.............#.....#.......#.................................#...............#....#.................#...........#.....#........#...
..#...............................#....#................#..#...#....#.............#.........................................#........#........#.........#.....#......#.#.#...#.#.....................................#........#....##...#.........#.#....#.................................................................#......##..........#..#...#............##..............................................#.................................#...........##.#.....#...................#...#.......#.........#......#...................##...................#........#.......#...#................#..#....#......#..........................................#.......#..#.................#..........#........#....#.......................#.................#....#...#..........................................#......#.................................#....................#...................#..............#....#.......#.....#....#.............................#....
...#..#..........#....#.#....................#....#....#....................#..#........#.......................#.................................#...#....#.......#.............#.....#......................#.#....................##.........#....................#..#........#.........#......#......#....................................#........##........#........#.............#.....#.....#..............#......................#...................#......#..#..#..................#......................................#....##........................#.#.....#.........#..........#...##.##......#............#......#.........#..................#..........#...#...#......#............#.....................#....#.........#.#.##........#..#.............................#.......#....##..................#..........#...............##..............................#........##........#..........#............#.##.........#........##.#..................#...
.###.................................#...#..........##...#.....#...#.....................#...#.#.......................#....#........#..#.................#...#..##..#...............................#......#....##........#........#...#..#.....................#.#....###.##......................................#.#..#.........#.............#..#..#.........#................#...........#..#......................#..#.#...#..#..#........................#.#.....................................#......#..##............#................................#.................#..............#..#......#...#.#....#..#.....#...#......#............................#.......#....#.#.....#........#.....#.....#........#........#...#................................#....#...........#......................#......#.........#............................#.......#.........#..##.#........................##.....................#....#...#...#...##........#...........#....
...............#..........#...#..#......................................................................#.#......#.....#....###...............#......#......#.##..#...#.#........##......#.......................#...........#...................#.............##.....#.......#...#...........#...................#..#.#......#.....#.#...#..................#............#.#...........#...#.........#..............#.......#...........##........#..#.....#...#.#........................#......#..#....#......#.......#........#...................#..........#...........................#...........#........................#......#........................#..........#..............................#.........................#.......#......#..............#..........#.....##.....##........................#...............##.............#..#......................#..............##......#......#...#..#.#.................#....................#.#...#..#.#.....#...#
...........#..#..........#........#..#..........#..............#...................##..........#...........#...............................#..................#....#..............#.....#...........#....#....#.......................##..........#...#......##.................................#.........#..#................................#....#....#....................##...#....#...#..#...........#............#.#......#...........#..#..............................#.........................##............#.#..........................#......#........#..........#....................##.#......#.......#............................#..#......#.......#........#..........#..##........#....#.............#..#...................................##....#....#........#..#.#.......#..........#........#..................................................................................##.#..........#......................#.........#...................#.#......
...........#......#.....#.........................#....#.....#...........#....#.....#.............#..........#........#.#.#............#...#.........#......#...#........#.#....#.##.##.....#......#....#...#..................#.........#.............................#.......................#.........#..#.........#....................#................#.....#...........#....#................#.............................................#.............#.##.......................#...#...........#.......................#.....................................##...............#...............................#.........#.........##.#.............#................#...................................#..............................#............##................#..............#.....................##....#......................................#......#..........#......#.......................................##...................#...............#...#..#.
.......#..#...............#............#....................#..............#....#..............#........................#........................#.......#...#......#.......#....#...#...................##...#...........#.......#...................#.###.....#..#.......#.#........#......#.......#.........#.........##.......#.#.................................#...........#...........................................................#.....................#..#....##.....#.........#..#...........................#.........#......#..........#..........#.#.....................................#............#.......................#.............#....#.........#................#...#.........................#...........#..#....#....#...#.....#.......#..#..........#....................#.#.........#....#......#................................#........................#......#.#......#..............#................#.............................##.......
.....#...................#..............#....#....#...............#.......#.......#..#....#............................#.##......#........#.......................#.....#............#...............#.....#............#..#...........#.......#........#..#..#........................................##..................#..........................#..#..#.........#.....#..#.....#...............#.......#.#...............#..#.........#...#............#..........#.....#.....#..#..###...#.........#.....#.#.#....#.........................#..#......#....#.....#..#..................#...#......#.#..#.................#.....................................#..................##.......#..#.#............#....#..#.#.....#......#..........#....#....#.....................#..#.......##.............#.............#...........###..........###................#.......#...#...........#........#...............................#...........#.....##..........#....#....
#.....................#......................................#..#...........#..#.#..........#....#...........#..................#..#..#..........#.............#.....#.#.................#.............##.............#.....................................................#...........#.#...............#.....#.....#.....#..#.........#...............#.....#.......#....#..............#......#.......##...#..............#.............#.............#.....................#.......##...#..........#............#.#..##.....#...............#........#.......................................................................#..#......#.....................#........#..#......#..........#.......#.........#............#......#.#.............................#..#..........#...#..................#...#........#.............#.............#.....#.#....................#...........#.#........................#......#.#...#.#....#.......#.......#........#....#........
.................##..........#..................#..#........................#.....#..................#.......#......#.............#.............#.....#..#...#.............#......##........#..............#.........#.#..#.#.#............#...................#.....#.#...............#......................#..#...........#........#......#......................#.#.......#....#....................##..#...#.........###..#....#......#..#.....#..........#...#..................#.......#...#....#...............##...............#........#.#..#...#..........#.........................................##.....#...#.....#..........#.#..........#.#.........#...#..........................#......#.....#...........#........#......#.#.....#.................#....#.............#...#.................#.#...........#................#.........#........#...#......#..........#...............#.#...##...##....#...........................#..#.....##....................
..............................#.....#...#..............#.........#.............#...#..#...............#..#...#.#..#................#......#..................#..................###....#.....#.#.........#.........................#........#.........#....#...........#....#...#......##......#.#.........#.#......................................#.............##.#.#.........................................#.#......#............................##.........#............#........................#.#.#.....#...........#.#.................#....#....#....#.....#...................#.#...............#.#..........#..............#..#................#...........#.....#.............................#........##.......#..............................#...............#..................#.#..............#....#..........#.................#..............................#....#.....##........#......#....#.......#...#................#.................................
.........#.......#..#.............................................#..#........#..........#................#........#...........................#....#..............#............#.#............................#.....#...#............#..............#........................#.........#..................#...............#.......#.#.....................#.#...............................#.......#................#.#.......................#...............#...#..#.....................#.................#....##.........#....#...#............##......................#...........#...#.............#.#........#...........#.........................................................#..#....#..................#............#........#.........#....#.........................#...........##.........................#........##..............##...................#.#.......#.#...#........#..................#......#..#......................#.#..#........#............
......#....#..#...#..#.............#......#..#.#......#........................#.....#..............................###.#..................................#...............#.............................#..............................#......#.#.......#.....#.#.#...........#......................##..........#.............#.......................#...................#...............#................................#....#.....#.........#..#.................#............#..#........#.#..........#........#...##..........#.......#.....#.......#.....#...............................##.................#.........#..............#.#.....#.........#.....##.................................#...#...........#....#.##.....................##...........#.......#............##.#..#........#........#............................##.............................#.........#...........#......#..#................#...........#........#.##.................###........
#.....#......#.............................#...#..#....#..........#...................##.....#.......................#.#.........#...#..#....................................#.#.#.....##..#..............#.........................##..#..................#......#......#...................#........##..............##...#....#..#.................#......#............#...#............##..#.....................................#.............#.....###...##......................#....##................###..............#....#...........#..#........#.....#.................#......#...#..#......#..............................#...........#.#.#.................##...........................................#....#.....#.................#......#................#.......................#..#.....#.................#.............#........#.....##.........................#..........#.......#............#..#.#........##.#.......#...#........#.#....................
##...#...............................#.......#.....................#.....................#......#..#............................#.....##...##......................#...........#...#...#.#.#..#.#....#.............#.#.....#...............#...#................................#...........#..................#...........#.......#.......#..............#..........#....#...#......#........#........##........#...........................#.#..........#.............#...............................................................................#......##...#.........#..#..#................#.................#.#.##............................#.......#.#............##.#.....#..#....#...............#...#..........#..............................#.#.......................................#......................#.................#.....#............##..#..........#.#................#......##..........................#............#......#.............#......
......#....#...........#.#..................#....#....#..#................#...................................#.....#........#...#.........#.........#........##..................#.#.##......##............................#.......#...#.......................#.........#.......................#........#.....#......#.....................................#..............................#........#.................................#..............#.........#........#............#.............#....................#......#......#.#............#....#.#.................#.........#...............................##....#......#....#.....#........................................#............................................................................#.#.....#.............................#.......##..................#.......#.......#........#.#.#....#..........#.......#.....#.......#.#..............#.##.....##..#.......#.................#...#.........
........................#........#........#..##......#..............................#............#............#..#....................#....#....###..#....................#...........#.........#.................#........#.....................##.#.......................#...............#...................#......#........#.............#......#.....#........#..........................................#.........#............#.....#..#..............#..#..........#..##..#........#......#.......#........................#...........#......................#....#..#.........#.#............................#..#........#..................................#..............#..................#.#................#.#...#.........##....#....#.........#.......#...#..............................#....#...........................................##....#............#......#............#................#.................#...............###..#.....#.......#.....#..
#..#...##.......#..........#.........................#.....#.............#...#..........#..........#..#..##.....#....#..................#.......#........#.#............#....#...#.......#.#........#.........#.##..#.........................#....#..........##..#.......#.....................................#.......#...........#...................#.......#.....................#..#.......................#...#.........................................#..........#........#........#..........#............#.......#.....#..........#..#......#..........#....................#...........#.............................#.....#..................#.......#................................#............#................#..............#......#..................#....#.......#...........##...................................#....##........#..#.....#.........#.................#...........#........................#......#.......................#........#.........
...#...#..........##.......................#...............#...............#.................#..#.#.......##...#......#.#..............................#.................#....#...#.........#.......#.....#.......#......#.......#...#.#............#.........#..#..#.........#..........#..#....#..#..#.................................................#............................#..#.#......#...........................#..................#.........#...............#.......#............#...#...............#.......................#............#.#..................#....#..#............................#..................................#..#......#...........#.##.......#.......#...#.......#.#................#........#.......#...#...................................#.#....#............#....#....#...............................................#..#..#......#..........................#.#.#.................#..........#.............#.................#....
..............#..#...............#.#....#........#.................#............................................#...#......................##......#...........................#.............#.......#.................................#........#.................#.#..............#............................#.............#.........#.#.......#...................#......#.........................#.....................................#..........#.....#.....#.............#..#...#............#............#...................................##..#.#......#.....#..##...........................................#.......#.......#..............#...#.........#......#....#........#.#........#..................#.......#...#.....#....#..........................#.....#.............#...........#.......#...............#.....#.....#....#........#........#...#...............#.........#.#.................#.......................................#.................
......##.............................#.#.#......#...........#.............#........#......#................#.............#.#...#....#...........#..............#.........#.#.##.....#....#................#....#.................#....#.##.........##..#.......................#.........#......................#..#..#...#................#...............#....#....#.........#....#.............................#.........................##................#....................#....#....#.........#.#............................#...#....#.......................#......#.......##.......#..#.............#..#......#..............#.............................#.............#..............#...............#.#.................#.................................#..##.....#.....#..#......#..#....#....#...#..............##....................#.#..........................#.................#..#....................................#...#......#..........#...........
...............##............#.......#.#...#.#......#......#........#....#.....#..................#......##..#...............#.........##...............##....#..##.....#........#.#.......#...............#....#.#..................#.#............#..#.......#.#...............#......#.......................#...............#..#...#....#....#...................##.........#......#.#....#..........#.........#...#.#......................#......#.....#........#......#.......#.................#............#.............#......#........#...#........#...#.............#.......#.............#..#.........#...............#...............................##...#.....#......#.#............#....#...........#......#..........#.....#.........#................#.....#..#....#.........#......#....#...........##........#..#....#......#.............#.#.....#.......#............#....................#.....#.....................#..#........#...........#..#.........
.....#........#.....#.##...........#.#.....................#.....#....................#.#.....................#.#....#......#..#..............................#...................#.##.......#..#..................#.......#................#............#...........#...............#.....#..#..#.........#.............#........##.............##.###........#................#............#........#...#..........#.............................#.................###.............................#...#..#............#........#......##......................#...#.................................#..#..#....##........#.......................#..#..#..............................##.......#.................#..##.................#..#......#...##........................#.#.#.................................#.......#.................##..........#............#.........#.#....###....#...#.#................#..........#.......##............#..............#.......#
..#.........##.#..............#...............#.....................#..........#...............#.......#................................##..........................#.........#...#............#.#...#.........#....#.#...#..........#...#.....#..................#.........................#...##....#.#.#.......#.....#...............#..#...............###...#............##.......#..........#....................#......#..#..#.............#......#..............#........###..........#......#....................##...##................##....................#................#...........#.......#...#.#......#.................#.#...............#...#..........#.......#........#..#.......##.....#...#...........#.#.............#..#......#.#....................#..............#............#.#.................................#........#...#.#.#...##...........#......#.#.............#..#..........#....#....#...................##............................
....#.#.............#......#................#.......#...#.......#....................##....#.#.#..............#...#..........#......#.#..................#....##.......#.........#......#.#...#..............##..#......###..........#..............##.................#...........................................#........................#...............#..........................#..#.#...#.......##.........#.....#........#...........................#..............#.....................#....#...#.............#.......##....#...........#...#..............#......#.#.....#....................#................#...#.................#................#...........#.....................#......................................##....#.#............#............#..............#...................###......................##..........................#.....#................................#.#...................................................#...............
.....#.##...#........#.#...#...........................#......#...........#...#..........................#..........#..........#...#.....#.......................##.#.............#.#............#............#.#........................................#.#...#...#.......#......................#..................##.......#....##.......#............................#........#.......#.............#...........#....#..............#....#...............#..#.........#...........#..#.......#..##...#...............#..#..#.....#........#..........#......#.....#.#............................#...#.#...................#...#.#....#.#....#........#......#..#...#....................................#..........#..##.....................#.........................#....................#........................#.........#........................................................#...#..#....................#................#.#.......................#........#.....
....#..#........#.....#.#.....................#...................#.#.....#............##....................#........#.....#..#.....#............#.....#..#........#.......#.....#....#....#.....................#....#.................................................#.#..#............#...................#..#...#......#.........#........................#...................................#..........................#...................#.......................#.........#............#..#................#....#.#.#................................#.................#....#..............#...#.............#...........#...#......#.............#......#.............#.....#.....................#.................................#......#...........................#..................#...........#..#.................#............................................#...#.................#..........#....#.##.#.....................#...#...............#..#......
................#..#...#.........#.................#.....#....#....#.....#...#........#..#.#..#.....#.............##..............#.#...#..#....#...#.....#............##.......................#............#...................##.##..........###...................#....................#..............................................#.....................#..#.....#.#.........##.................................................#.........................#....#...........#....#.......................................#..#.##......#.................#...##......#...#................#...............##...#...#.#........#.....................#......#.......#..##.#.......................................................#..#......#.............................#.#..............#.........##....................#..#...........#.....#.........#......#.#...#....#....#.##........#....##......#........#.#.........................#.......##..........#..........
...............#.....#.#......#.....#.#........................................#..........................#...#.................#.#...........#...................#.#......#..#..........................................#.......#.#...................#...........................#..#...#........................#....#..#......#.............#.........#...............................#........#................#..#..............#..............#.........#..........#...........#.......#.#.........................#............##....#..#..#......#.................#....##.#................................#..........#.........#..................#...#.......#.......#.....#...#....#............................#.#..............#.....#...#...##..#....................#.....#.......#....#................#.......................................#............#..........#...........#......#..................................................#..#.........#......
..#.........................#...........#...........#.............#...#..#................#..........#...................#...#...........#.....#..#......................#................#.......................#..#...#.........................#......#..........................#.......#..............#.....##.#..........#.....#................#.............#..#.........................#..##.......#...............###.#.....#......#......#..#...............#...#.......#........#........#......#......#...........#.......#........#.#.........#...#.#..#.........#..............#.#................#................#......#...................##......#.....#....#..#.#.....#.................##..........................#..#................................#..#....#............#.....#..........#.........#.#...........#.........#.....#..................................#...........#.....#..#..#...#......#.....#....#....................................
.........#................#...#..#.........#.#.....#..#...#....#...#............#.............#............#.................#.#.......#.......#......#...............#.#..#...........#..........#.....................................................#..#.#............................................#.#..................#..##.............#..............#.......#........................#........##...#................................#.......##..#....#.........#..........#...................#...........##..#......#.##...#............#.....#.#.....................#........#...#..#.#...#............#...................#...#....#.....#...........#...........#.....#.....#.#............#.#..####.....#.....#.....#.....#...........................#......#.............#.........#.....#.......#..#..##....#...#..............#.....#......#.....#..................#..........................#..........#.##...............#........#..#...................
.#............#..#...#....#.#.........................#..#....##......#.......................................#....##..#..........................................#......#.#.....................................#..#...#.....#..#....................................#..#.........#.............#......#.........................#......#............................................................#..........#........##...........#..#.................#...........................#...#.#.......#.....#..#........#....................#..##.........#........#..................................#...#.##.........#...........#...........#.............#.....##..........#..#...............#.....#...###.....#........#....#......................#..................#...................##.......................#............##.......#...#.......#..........#..#...#.......#...........##.........#..................##...#.........#....#.#.......#.#.....###..........
........#.#..........#...............................#.....#......................#............#..#......##.......................#.......................#...#.....................##...#........#.....#.......#....#.......#.....#...#....#...........#.....#..#..#...........................#....................#...#..#...#...#..#.#....#...........#............#...#......#....#..................##...............#........................#..........#....#.###.........................................#.##....#...................#...............#.........#..........#....#...#.......#................#..............#.......#.................##..........#.......#..........................................#......##.....#......................#.........#.....#....#..................#...........................................#.....#.....#.............#..........#...#.......#..........#...........#....................................#.........#.....
.........#..#..................#...............................#.....#.................#........#.#..#.#...##.....##....#..........#....#..........#...............................#.#.............................#..........#....#......................#.#..#.............#.#...........#.....#...#................#....##..#..............................#.....##..........#....#.............#.......#...........#.....#..........#....#...#...........#....#....................................#..#.#...........#..#.....#......................................................#.......................#........................#.....#................................#.....................#....#..#....................#.........#................#..#...........#......#....#...#.......#...#...........................#...#........#...#..#.....#...........##................#.............#.................##...##.........#..##......#........#..#..............
........#............#..........#.##..#......#.........#........#.....#.............##.##......#...#..............#.......#............................#.....#.......#.#....................#.......................#...................#........###................#..........................#................................#....#..........#..#....#..#......#.....#......#......#........#..##..##....#...#.....#..............#.#..#............#..#........#...#...............#......#....#...............#........................................................#......#....#....#.#........#....#................#...........#.....#..............#..#....##......................#............#..#.........#.........#......#.#....##..............................##...............#.#.........#................###......................##...........#........#.............#......##......#...#.....#..#.#..#..........#.................#...#................#...
.#.#.........#.#...#...........#......................#.............#.....#...#........##............#......#...#..............##............#........#.........#......#...#..#.#..##..........#.............#...............#....#....................................#.......#............#......#....#......................#......#......#...#....#...#..........................##..#................#.#................................#....#...............................#....#....................#...........................#..........#...................#................................##......................#...#...#.............#..........#.......#......................#...................#...##..#.............#.#..#........#....................#..#........#.....................#.......#......#.#..#.................##....#...#.........#....#..##...#.......#.#.#.....#.........................#...............#.....#...............#........#.
.#...................#.......#...............##.............................#....#..................#........#..........#.....#.#.............##....##......#........#....#.##.#....##...................#.#....##..#..........#........................................#....#...........#...................#..........................#.........................#...#.....#.#..........................#.........#....#...#.....................#...#......#.................#...#....#......#.#............#..#.#...........#.#.....#................#.#...............#.#..........#..#.......#.............#.....#...............#.....................#..............................#....#.............#......#...#..............................................................#..#.......#..................#.........#...............#.............#...........#.....#....................#.........#.........#..#.......#.....#.....#..............#........#.#...#....
.#..........#...................................#......#..#...........................#...#..#.....#......##.....................##.....................#..#....#...............#......#.........#....................#.#.......#.......................................###...#.........#.#...........................................#....#..#............#...#.................#.#..................#.#.................................................................#...........................#......................................#.......#.....................#..................#..............#..............#......................#.....#..#.....#......#..#...........#............##........##.............#.........................#...............##...............#.........##.........#.......#.....#............#..#.......#.....#..............#....#.....#.........#.#..................##.........#..###......#.#....#...............#...............#.
.#..........#..............#...........#..............#..#...#........#..................#.#....#..#...#..................#.........#...........#......#...................#.#.....##.....#......#.....#................#................#.................................#......................................#.#............#..#.........#..................##..............#...#....##...#.........................#........#..#...#............................#............#........#...............#.............#..#..............#.................................#.#........##......##...........#.......#.....................#........#...#...............................#......#....#.#..........#...........#.#............#.....................#.....#.....#.#..#..#....#...#....#......#....#.#...#.#......##......#...........#............................#...........................##.........#.......#...........#.#...#.##.........#.#.................
.............................#....................................#.#.............#...#.....#..................#...........##.#................................#..#....#....#.........#.#.#.......#........................#.#.........#.#..#.....##....#.......................#.........#......#.......................#.#....#........................#..............#....#....#..........#...................#....................#.................................#..#..#..........#......#..................#....#...##........................#...........#..................####......#.......#..........#..................................#...#..#.........#....#.....##..........................#.#.#.#........#.............#..................#..........#.......#..#........#....................#................#...........#..............#.............#...........#.......#.........................#...........#......................#.#............#.......
#.........#.......#......##..##..............#.................##..........#.........#.......................#.....#.....#...........#........#.....................#.......#.......##......#..#.............................##....#.................#.#...#...........#......................#.........#...........#....##........#.............#..........................#...#..#.#..........#.............#..#........................#...##...............#..#...................#......................#.......#.###........................#.....#.#.......##..#.#....#..#......................#..#.....#.#..........#.............#.....................#......................................#.#......#........#........#.#...........#.#......#.#...........##.#.....#........#..........##..........................###............................##.................#.......#.................#...................#..#................#.##................#...#.....
#..............................................#.......#....#....#........#.................#...........#.#........................#..........#..#.....#................#..#.............#.#.....#.......#.......#..##............#..........................#...........#.....#...........#................................#...#.##....#..............#...##.....##..#.......#....#......#..................#...##.#....................#................................#...#..........#.#...........#..................##............#.........#...............................#......................#..........#.......#...............###.......#....#..............#.#.#...................#................#.......................#.............#................#.#..............#..#.....#........#.......#..#............#......#......#....#.....#.............#..........#..........#..................................................#...................#.........
...#.....................................#..............#..........#....#..#....................................#..##...#.........#...#.....#.............#..#..........#..............#.....#.....#.#.#.#............#..#.............................#................#......#................................##...#.#............#.......#....#.#...#...#...............#........................##....#..............#..#...............#.#.....#............##.#...........#.#..#...........##..#.....#..#...#...............#...#....#..................#..##...........................................#...............#..........#..#............#.................#........#...........#..##.......#.#.#.#......#.......#....#.#..#.#...#.......#..............#...##.......................................#.#.#.#.#.....#...................#..#..................#.........................#...#..#..................#.....#..........#...#............................
..............#...#........#...................#....#.......#........#..#.##.......#.#.............................................#.......#.#.#.#..............#......#.##......##.......#.......#............#.............#.......#..#...........#.......#........#...#....#...#................#.........#............#..#......#..#..#.#........#....#........#................................##...#...#.#................#...#......#.....#......#.................#.......#.#............#..........................#.#..............#........#.#..#.........#.....................#...#...#.........#...#....#.....#....##........................#......##................................#............#...........#...........###......#.........#......................#.............#.....................#.......#.........#.................................#...#......#........................#................#.#.#...#..#.............................#......#..
........#.#..........#.....#..#......#...#.......#..#...#.......#..#........................................#......................#...........##...........#....#........#....#.......#...#.......#......................#.......##.#.....#....#.#.....#.#.#.........#........................#..#...............#........#........#...............#..#..........##....#..........................................#..........................#.##.#.........#.##........##......#.......#.....#............#...#................#......###.#..#....#...................#...#............................#.....#....#...#...#.......#..#...........#..#.#...#.............#...........................##...##..........................#...........#......#............#....#..#.#..........#.....#...#........#........#..........#..............#......................#.........#....#..........#.##......#...............#...................#......#.#.........#..............
..#...................#.............#.........#.............................................#...#.................#.#..###...........#.....#...........................................................#.#........#.................#..#...#...................#.......#......#.....##...........#.......................#..................#..#..........#....##.............#....#......................#.....#........#..#..............................#....#........##.#...................#.........................#.............##.#..#..............#.....#...........#.......#........................#.#.....#.#.............................................#................#.......#...................#..........##.....................#..........................#...#...........##......#..................#.#..........#....#....................................#...............#...................................##.................#....##.....#...........
.....#.........#....#.........#.......#.......#.........................#.........#.....#..........................................#...#..........#..........#..................#..........#....#...................#.....#.....................................#.....#...........##.......#..............................#......................................#......#.....#.......................................#......#....#......................#...#.....#..........#...........#........##.......#..#...#....#.....................#.................................#..........#...#............#.................#.....#.##..#........#......#...#.....#..#...............#....#............#...............#.........#..#..............#.#......#...............#.............#.........#................................#......##.......##.....#.......#.....#..........##..#..........................#...............#...............#............#...............
.##..................#........#............................#.................#.....##......#.......#.....#.....#...................##.........................................#...........#.....................#.....#...........#.........#.............#...........#.....#..........#..#.............#......#..................#..............#...............................#...#................................#.....................#....#...#.#............#............#.#.##..........#............................................#........##..##.#..............................#....##.......#...#.........#.#.##..#.......#...........##..................#...#....#.......#..............#....................................#.....#..........#.....#..#..#.......................#..#.............##..........#.......#....###........#......#.........#......#......#...##.##.....#....................#.......................#......#.#.#...##......#.####....
............#..........#...#.....#....#...............................#...#.............................#......#.#...#.#...................#..#....................#......#...#.###...#....#.................#...............##..#...........#..........##.......#..............#.#..#...............#..............#...................#............#...#..#..........#..##...#.#....#...........#.....#.....................#..................................#..............#.............#............#........#..#............................................##.....................#.#...........#......................#.........#.........#.#......#...........#..#..#.......#......................#..............#...#..........#.........#......#...............#..##.........##..#......................................#.#..#....................#..........#..##..#.#..#.................#..........#................#.....###.....##..#...#.#...................#.
#.....................#........................#.....#..........#..#.............#..............................#......#....#....................#.................##.........#.....#.............................#...................#........................................................#...........#..#............#...#...#...#..........###.....#.....#.....##.................#.........#.....#.........#...........................#......#...........#..................#..............#...........#.....#............................................#...##...................#.................#......................................#.......#..#....#..........#......#.......#...............#.##.....##.##...........#.........................................................#....#..........................#..................#..#.......#....##..#..........#....................#..#.............#..#..........##..#........#...##...#.........#.##..#....
...............................###..#....................#..#........#.....#...#...........................#..........................#......#.................#...........#...............................#...............................#.#.....#.........#.....##.........#................................................#......#...#..#.........#.....................................#..............#.........#......#.......#.......#......#...............#...#....#.....................................#...................................#.#....##..#...........#......#....................#.....#.................................#......#...#.......#.#..#..#....#.......#...#...................#......#.....#.........#..............#....#.......................#........#........#..#.......#..........#.............#.........................#.....#.................#.......#.......#...#..#.........#..................................#.#.............##
........#.........##..#...#.#........#........#.....#.................#..............#........#...#.............#..............#....#...............................#.#..................#.....#...#....#...#.#................#.#...........#..#.##.............#........#.....#........#..#....#..........#..........#....#...#.............#............#...........##.........##............#.......#....#........#..................#.........#.................#...#..#..............#...................#.........#......#.....#.........................#...#....#...................#.#..........#.....#..........................#...........#.......#..#...#.....................#..........#.#.......#......#....#..........#.....#..........................#.##..#......#...................#........#......#..#...#..........#..#............#...................#.........#.......................#..#...#............#.#................#..#...............#......
........#...#...#...#.......#.#..............##........................................................................................................................#..........................................#............................#...........#..........#...........#..........................#....#........................#...........#..........#.#..............#...##....#.................................#........................#...............#..............#............#.#............................#.........#...............................#...........#.............................#........#.#.#.......##...#.#..............#........#..............#........#.#.....#...............#.....##..................##.....#................................................................#.......#.#............##..#........#.#.....#..#.........#...#...#.............#...........#..........#................#...#.#........................
.....#..#...#...#.............#....#.........#..................................##................#......................#........#..#..##.............#.#..........#.............................................#...........#..............#.....#..............#..............#........#.....#...................#.....................................#....#............#..#.....####.............#...#.#.............#................###.........#...#.........#...................#.#....................#.......#...##.......#..........#........................................#..........##....#.....#............#...#.....#......#......#..##...............................#.#...#..........###...#....#..............................#.#............#......#.....................................###...........#....##....##..........##.....##.#...............#...#.................................#..#.##.....##.......#..#..#........................##........
..#...........#......#.....#.......#..#.........#.............#..........##.#........#.............#............#..........#..................#.............#..#.............#..............#..#...............##...............#.##............#....#........#.#...........#................#...........#.........#........#......#.....#....##........#...#.......#........#..#............#.#.....#...................#..#......#..#........................#........#.##.........................................##...........#.........#.....#.......##..................#.........#.....#.................#.....#................#.#....#..#..#...#...........#....................#....#........#..........#.#...................#.................#.#.....#..#..#............#...........#..#.................##.........#......#...#.........................................#....................................#.......................................#....#......#...
..#.#.....#.....#.................#...#.....#...#......................................................................#...........#............#................#....##..#......#........##...............#...........#..#...#.............#.....#..#...........#....#.....#....#.....#......#...#.....................#.........#....#.......#..#.#...............#.#.....................#...........................#.#......................##....#...##....#...#......................#............#.#....##..#.#...#.......#..........#............#......#..#...............................#.......#................#.................#.....#....#...................#...........#...........#.......#.........#.#..........#.............#.#........#.............##...............#.#...............#..#......#.#.....#.........#........#.#............#........................##..#........#..........#...#.#.#....#.........#.....#...............#.................
............#............#...........##.........................................#........................................#..#...#..#..#.......##...#..#....#......#.#..................................#...............#.......................#..#.................................#...................#...........#......#...............#........##......###..#....................#.....#..............#.................#...#......###.....#.......................#...#...#.................................##.....................................................#..........#..............#....#..........#........#....#......#............................................#................................###....#............#.#.....#........#...............................##.........##...................#..#.....#................#.................#...........#....##......#.....###........#............##..............#..............................#.....
##.......##.#...........#....#.#...............#..#.......#...........................#..#............................#...#...#..#...#.....#.........#................#.....................#.......................#.......#............#......................#...#......#.....#.....#....#............#.....#....#.#..#....#......#................#.................#........##.....#..#..#.....#..................................##.....#.......#..............##.#..........#....#..#................................#....##.....................#........#..#.......#........#.......#.....#...#.....#..................#..................#...#......#..#...#....#.......#..................#...........................##..............#...............###...............................#....#.....#.#.#......#..#.....#........#.....#..........................................#.....#.........#.........#.........#.................##......#............#.#........#
................#.....#....#......#......#.............#...........................#...........#.......#...........#...#......#..#.....................................#......#.........#.......##.#...#..#..##.....#...........#........#...........#...................#.............#.....#...#.....#...#.....#..#.............#................#...................#................##..............#...................#...................#......#.....#...#.................#.#..............#.....#........#.......#.......#....#.#...#.......#.#...........#.......#.#.#......#.................#.#............#......#......#...#...................#.......##.....................#....................#....#......#....................##.......................................#.........................##..........#.............##........#..........#........#.............#.#..................#.....................#...#.................#.....................
.........##.#..#......#.........#....#........................................................#..#..#.....##....#.............#.........#.........#............#......................#...#.......................#..........................#..........#....#.........................................#.....#.#........#.#.#............#..................#..................#...........#..............#.........#..............#.#...............#............#..................#..#..#....#................#...#.....#.#..........................#........................#........#..#................##..#....#..#............#........#...#.#........#.............................###....#................#..#....#.....................#....#.......................##.......#........##........#...........#...##..#......................#...#.............##..#.....................................#........#............#.....###.#.........#.#...........#.......
.........#...........#...#......#...#..........#...........###.....................#...................#....##.......#..#.#......#.....#.....#.........................#.#.....................#.....#...............#.......#......#.#........#..#....#..................#....#.....#..............................#..........#.#......#...........#...................#......#....#....#......#...................##........#..........##........#................#.....#...................#.##............#..#......#....#......#...#.......#...#....#...#...#....#............#......#..#......#....................................#..............##..............#.......#................#..#...........#..#.......#....#...#..#...........#.................#.#......#..........#.........#..#....#...............................#.....###...#......#...............#.#..............................##....#..............#.....#......#.....#..#.........#..#......#....
.......#........................#.....................................##..................#.#....................#..#.......##.........................#.##.........#...........#......#......#....#...#.#...#..........#.....#.................#.........#.......#........#....#....#.................................#.......................#...........#..#.........#.......#...........#....#.#......#...#.........#.......#.........#.......#................#....#...........#.#........#..............................#........................#......#.#...#..............#..#.....................#............#..................##..................#...#..#.....................#...#..........#.#..............#...........................#.......#.................#...#..#..........#...............#.............#..#..#...#.#.......#.........#....#.#.......#....#.##.........#....##....#.#...................................................#..#....#.......
.........................................................#.#....#.....................#..##....#..............#..........#.............#........#.............................#..............#....................#.................#..#...#.........#..............................#.....#..#.#..#...............................#....#...#....###.#..................#....#................#..#..#...#.....................#......................#.........#....#...#.............................................#....................................................###..................#..#.......#.................#..#.......................#....#........#.....#..#.........................#........#...............................#...........#....................#..#..........#...#...#............................#......#.##...................#...#.....#.........#....................#..##.#.#......................#............#.....#................#...
..........#.........#..#.#..................##..#...........#.......#..#.........................##..#...#..................#...................#..#...............##...#....##..#...............#......#......#....#......#...........#.#..#....#...#........#................#...#............................#....###...........#..#.#.......................#..........#............#....##............#......##.......#..................#..........#.........##................#......#.#......#.........#.........#....##....#........................#.#......#.....#...#............#.........#........#...................##......................###..............................#.#....#............#.........#.................#...#..............#....##..................#..#.#...........................................#...........#.#..........#......#.......#......#......#..#......#....##........#....#....#.........#....................#..###...........
.#....#.#.#.........##...................................................#.............#.#.....................................#..........#..........#......#............................................#.....................#...##...........................................##.............#.........#...#................#...#...............................#......#.........#..#.......................#.........#.#....#.#......#....................#.....#.......#...#......#...................#..........#................#...........#...##...##..........#......#...................#.#.......#..#......#................#.....................#......#.................#..............................#...........................#.........#....#...........#......#............#..........#............#..#...........#.........#....#........#............#.....#..........#....................................#.....#..............#..............##........##.
..#.#................#..#.......#........#..#............##......#....#......#..#.......##.....##.#.........#...#.......##.............#.#....##......#.#................................#....#......##.....................#............................#....................#..#....#.....#..........................................#........#..............#......#....#...................#.................#....#....#...................#...#.......#..........#.....................#...........#.#..............#....................#.......................#..#....#............#............#.........#.#........#.#.#.#..#.....#.....#...#....#.......................#......#....#..............#...........#............#..............#.......#................#..........#.............#........#....#..............................#....#...................................##.....#...........#.#.##...............#..............#..#..#.......................
.#..#....#.............#..............#.#...#...##.#......#...#............#........................#...#.....................................#........#...........#.......#.........#......#....#.........................................#.....................................##..........#..#....#...#........##.....#........##....................#........#...............................###.....#..............#...#..........................#....#.......#......................#.........#..#.#............##.#.......#...#...#...#...#...#....#........................#..#.......#...#......#..#.#...##...............................................#..............#...#....#.......#.............#.#.....#.#............#.#..........#....#..#....#.........#............#.......#.....................##..........#......#..#...........#..##.........#.....#...................#.........#......#...#................................#...#...#........##..#..##.
............................#........#.....#........#.#..................#.#.#..#.............#................#.......#.#...#.............................#...........#........#...............#......#................#..........##............##.......#..#..#....##..................#.................#................#..............##.#...........#.................#.....#....#..........#...#.#...............#........................#.............#..............#....#..#.....................#........................#.#.......................#.........#.#.................#...#..#..........................#...........................................#....#......................#................#.................#.........#....................#....#...#...#............#...........#...##....#...........#.........................#.#..#.............#....................#........#..#...............#....#.........#..#..........#...#..............
.....................#.............#....#.................#..........................##....#...#.............#....................#....#............#......#......#..................#...................#..#...............#......#.....................#.......#...................................................#.......#...................#.............#.....................#.#...........##..#............#...#..#.......#....#.....................##..#.#...#.#...#..#...#..#....#.......#....#...#....##..#.............#.....##........#....#..#..............................#............#....#........................#........................#.....#...#.............#................#.........#......................#........#..#..#....................#.......#...##..#.....#....#..............#.........................##........#....................#..............#........#.....#.........#.........#.#.#..........#...............#................
.............#.......................##......#.....#.#..##....#...........#..............................#..#..................#..............#..#....##...........#..................#...............#............#..#......................#..#..#...........................#.........#..#...................................#......#.....#..................#..#.....#...........#.........#....#.....#..............#...#.................#.............#....##......#..#...#............................#................#.....#...........#......#........................#................#.....................................#......#.......#..#...................#.................#...#..........#...............#.#.....#..#..#...#.................#.............#......................#...........#......#.#.##...#........#.....................#...#.#....#.....#...........................##.#.............#...#....##.#.....#..........................#....
...#...................#...................#..##.............#.#.........................#...#.............#................#...#...#.................#....##....#....#....#.#.....#.....##........#......#....#...#............#...#....###.....#.............#.......................#......................................#...#.....##...#...##..##.....................................................#.....#..........#.............#.#..#.#......#....................#................#.##.#......................#.......................#.#.......................#.#..#.....#........#..............................#.#..#........#.#.........#.#.....................................#.#........................................#.............................................#....#....#..#..........#.........#........................#...#...........................................#.......#.............##.............#.#...#...........#...#.#.....#..#......
....#...#............#...........#...#....#..#.#.........#....#.....#.....#.....#..#.#.....#........................#.................#......#...............#..#.............................................#.......#...#..................#...................#...........###.#..#..................#........#..#......................................#.............................#.......#........#.#........#......#...##..............................................................................#.........................##....................#.#....................#.......#......#...#..#......#................#......#.....#.#....................#......#...##.............#..............#............#......#..#.........#.......................###.#.#.......##..............#...#...#.........#........#...#...#....##................#...................................................................#......##....#........#..........#....#......
..........#.......#..#..........#..##............#...............#..........#.........#.##..........#........#..#.#.........#........#....#....#....#.......................#....#.....#..#...................#.................##........#......#........#.........#..#.....#.##.................#...............................#.....................#..#........................#........#.##.....#...............#...#.........#.......#...#.......#.........#..#...#..............#...##..#........................#...................#.....#...#...........#......#.....#.........#.............................##..#....................#..........#............##....................................#....#...........................#...........#.................#........##.......#.#...............#..#..#....#........................#.....#....#......#........#.......#...........#..................................#.......#............#.....................
.......#...................#.#.............#............#.#.#................#.............#......#........#....#.#....#.................#.....#..#................#......#.............#.........#.....#..........................................#.............#...#..#...#................#...............#.#....#.......##....#......#........#....#.....................#...#...........##...#......#.........#....#.....................#.................................##.........#...................#.................#...#.......................#.....................................................##......................................................#..#..#..................................##.............................................#.....................#.........................#....#......#.........#...#.............#...#.##.#...................................................#............#......#.....#...#.#...........#.....#........
.........#......##.....................#.....##........#........................#....#....................#...................#..#.............................#.....................#....................#.............#..#...#.#.....#........#....#.......#..##...#..........#.......#.................................................#........................................................#.......#.......#..............#...#..#..........#......................#.................#...#...................#....#.....#....#.#........................#....#.....#............#.......................#...#...............#................................................................#.#...............#......................#.#..#.............#........................#..........#...........#.......##...........#...#...............................##..#..............#.........#.....#..#.............#.#......#..#.....#............#.#........#..........
.....#.....#.#.....#....................#...........#...#......#..#.#............#.#...#.........##..#........#................#..............#.##...........#..#...........###...........#..##..#........#..#.....#......................#..#...#......#.#....#..........#...#.........#.................#......#........#..........#..#....................#.#.#...............#................#......#....#................#.#.............#................................................##...........#.#..............#...........................#........#..#............................#..##..................................#................#...#............#.....................#....#.......................................#.................#.............................#.............#..........#.#........#............#....#.................#.......#.....#.......#...#......#.#...........#........................#..............................#....
......#.#..............#...#..................##............#......#.#.##................#........#...............#.........#.......#........#.....##........................#..#.........#........#.....#.#......##.#......................#....................#.....#.#...................#...#..........................................#....#......#................................#...#.......#...##....#.............#.................#.....................#.......#.........#.............#.....###...#....#......#............#....#........#...#.............#....#........#.....#.....#.......................................................##............#..#..##.....#..................#...........#.........................##...#..........##...........#.............#.....#..............#...........#..#.............##.#............#.....#......#...##..#..........#..#................#............#.......#........#...#.......#........#.....##.......
#.......#...#......#.......#......#........#....#..........#......#............#....#...................#....#.................#.......#..#........................#...#............#..........#..##......................#.....#........................##.....#..#....................#.#............#.................#...##.#.......#.....##.......................................#..................................#......#......#....#........#.#.#......#.............#....#...........................#..#....................#...............#.........#............#..#..........#.#..............................................#..................#.......#.#..........................#........#..#.......#......#..###....#....#.....#.........#........#...............#...................#............##....#...................#.....##........#....#..........#.......................#.##.....#.............#..........##......#......#...........#.........
........................#...........#........#.............#...#......................#..#.........................#......................#.#.....#.............#....#.....................#....................................#.............................##.................#................#......#............#..............#..................#................#.............#.......#..#..#......................#........#.........##.........#..................................#..#.............#.#........#..............#.#..............................................#.........#............#....#...#.....#.........#.#......#............#..#......#...#.#............................#....#...#.#.......................#.................#............................#..#.#..#........#........#.................#..........#.##............................#.........#.....#.#.......#..#............#...#...............#.....#.#.........#.....#..#.#..
...#.....#..............#...........................#...........................#...#..##...............#.........................#.........#..................#...#.....................#...................................#.....#..#............#.......#.......#..................#........#.....#.................................#....#.......#....#...........................................#.................#......#................#.#......#.........#.............#..##..#......#............#.......#............#.#....................#..#...#..#..........#..................#...........#...........#.#...........##.........#.....#........#.#...#.............#...............#....#.#......#......#.......#.....#.....#.....#.......#..........#................#..............#............#................................#.#..............#......##.....##..........#..............#.#.....#....#.#....#.........#.........###.........#...#......#......
...........#...........#...................#.............#..#...........#......................#..#................................#...............#.......#..............#.................#..........#...............................................#.........#....................#....#...#....#...................#.#........#...###...................#......................#..#.......#........#...........................#..............#.....#.....#.....#.#.#...........................#..#....#..##.#....................#...#...#..............#.........#.........##..........................#..#..............#.....................#.#....#............##..........##..........#...........#...#.............#........................#............#...............................#........#...#......#........#....#...........#.....#....#.............#....#..#....#......................#...#.......#..........#.#....##.....#....................#......
..#.....................#....#.....#....................##..............#.....................#..#.....#...............#..#.........#.#.............#..#.....#................#..#.#.....#.##.......................#............................#......#......................#..........#...........#......................#................#.#..........#.#........#........#.........#........#...............#..........................#.........##.............#..............#...................................#...............#.........#......................#.#...#..#...#...#..##................#......#.......................................#.........................#........#.##....................#..........#......#.#...........#.......................................#.......#......................#..........#...........#...#.............#.#...#...#.#....###.#.......#....................#................##....#......................#....#...
.#...............#...#....#...............#............#.........#.......................#....................................#.#..................#..............#....#.........#..#.......#......................#........##...#............#.................#.....#.....#.#..#.............#...#......#....#..##...............#........#.#..........#........#.....##..#..................#...##.......#................................#.#....#...##.......#...#...#..#.#..#..................................#.....#........#...........#.##.#.....#.............#...#...##.....#.#......#..........#..#...#.#........#..................#............##....#........................................#............................#............#...#..#..........#.........#..........#..........#...............#...........#....#.......#.#......#.......#.......................#.......#....##.#....#...................#..#.......#.......#.........###..........#.....
.#................#..#.............#..........................#...#.........#.#.#..............#..#..........................#..#.....#.#..#....#...........#.#...#....#............#...#..#.......#......#.....................##...#...#.............#........#................#...........#........##.............##...............#............................#....#.#..#................#........................#..................#.......#...#......................#.....#.............#.....#.......#...#...#.........#...........##.##...#.......#.#.#..#..#.............#........#.#...................#.......#.............#..............#............#.#............#........#.#...#.........................#......#........#........#...#............................##..................#.#.....#.......................#..........##.................##...............#..#...........##...#............##.........................#.....#.....................
....#..#.....#...#.................................###.....#..................#...........#...........#...................#...#.....#...#..............#...............#.....#..#...............#..#.#....#..#...#..........#...........#...........#.........................#..##..##...#......#...#...........#..............................##..........#.....#...................................#......#...#......#..#..............##.............#..................#......##................................#..........................#.....##..................#....###..###.....................#.........#.....#.....................#.#..................#...........................................#....................#.#.........#...........#.............#...#...................................#...#..........#................##.....#.............#.##.#.....................#............#.#.#....#..........#.....##..#........#..#.....#............#..
.....#.....###..........................#................#....#..#..............#.#...#.......#....#.....#.#.....#..............##......#...................#.............#...##.................#.#......#...................#.............#........#.......................#......................................................#..................................#........#..#......#....#..................#............#.....#...#..........................#..........#...............#...#....#.....#.......#.....................##...#............#.....#....#..........#.#..#....#...#..............#...........#.............#.......##...#....#...........#.............#................#................#........#....#.#...#.#..............#.......#....#........#.#....#...#.#...#..............#...#......................#.##.#.......................#....##.................................#............................#.....#...............#.#..#..#..#
.................#.......#..............#.#.....#.....#.......#............................#......#.........#............................#.........#.........#..#....................#.........#.......#....#.......#.....#..#..........#..#..#.##...........#.............#..........#.......#..........#..#..#....#...#.........#..#.......#.................................#...##......#........#......##..........#.#.......#....#...##.................#........##........................#.#.#...#..............#..#............#..............#.....#..#.....##......................#.#...#..........##.#.....#..........#.........#.............................#....................##..#.#...#..................#.#.......#...#..#.............##..#....#........#....#..........#..#....#.....#...#............................#...#.....#.#.#....................................#...............................#.#.#................................#..#..#........
#.....#.#....#.................#.............#....#...........#....................................##...#.........#....#..#...#...............#....................................#....#.....................................#...................#...................#........#...#............#....#...##...............#....#..........#..........#.......#..........#..................##.....................................................#.............#.................#.........................#.........................#..................#...#........#...#.........#.............#...#.............#.................#........#...............#.#.............#.....#.##.........#........#..............#............#......#.....#...#....##....#............#....................#.#..#.......#.........#.#...#.....#......#..................#...................#.................#........#................#...............#................................
..........................#.#.....#...........#.#.............#........#........#..................#.#....#........#..#.#.........#...............................#...#.......#..............#....##........#...............#.#...............##.......#...#.....................#.##......#.........#....#.....................#.......##.............#.....#....##.##..........#..................#...........#.......#.....#...............#...#........##.....................#..#..#................#..........#...........##...........#................#........................................#....#............#.#.....##....#...#...#......##........##....#.....#.................#..#...........#.......#.#.........#.#............#...#......#.#..............................#....#......#........#....#..#......#........#.......#...............................#.#..#.#...#...............#........#......#...#...........#.................................#....
......#.........................#.......#................................#............#...#....#.......#...###....#...#......#..........#....................#..##...............#.#.....#..###...................#........#................#..#....#.##......................................#......#....##.....#..##.#.#.........#.........#......#.............#..#................##...............................#.#....#.....#...........#..........#..........#........#......#..........#.............#....................#........#.........#.....#..........#.............#...............#............................#.............##..........#...#.........#...........#........................................#...........#..#...#............#.#..............#...............##.........#.#.......#........#...#.#.......#......#.#............................#............#......#..........................#.......#.#............#.#......#................
......#...#................................#.#......#...#.....#..#...................#...#..............#......##.......#............#.............#.#..#.....#....................................................##..............##............#..#.#...............................#......................................#..........................#...##...#..#........#...............#......#........#.......#.....#..#...........#.#....#...............................#.#.#........##......#....#..........##.....#.#..........................#.....##..#.......#.........#.........#.......#...#.......................###...#.......#........#............................#.....##...#.#................#....................###...............................#..#.............#....##.....................................#..#.....#.....#......#..................#....#.........#...............................................#.....#......#.........#.#.......
..................#..........#.......#............#....#..##........#............#......#..........#............#...........#........#........................................#.............#...#...#.......................#...#.#.......................#.....#.............#........................#.#...........#........................#.........#................#....#.......................#...#.......##...........#.......#......#.......#..#.....#...............#...........#.......#......#...##.....#....................#.........#....#.#...............................#.........#....#..............#..............#....#........#..........##......#.......................#.............#....#........#..#.#....#..................#......#..#...#......#............#.....#....#....................#....................................#................#.....##.......#..##...........#............#...........#.......#.............#..#...............
......#....##.................#........................#............#..........##.......................#..........#.............#................#.......#...........#............#..................#....#........#....#..#...................................#........#.........#...............#.................#.#...........#.#..........#.......#....##..........#............#................#..#....#................#........#...........#............#.....................#..#..................#.....................#..........#.....#...#...........#.#....#..............#................#......................#............#.#.............................#...........#........#..#.........#.##.......#....#...........#..........#......................#.................#...#.....#.#.#.#...........#.......#.#..............#...........................#...........#.....................#........#....................................#...............
...#..........#......#.......#...#.............#.....#...................#............#.....#........#........#......#..........................#........#.#............#...............#.....#..#...........#.................#...............#...........##..#..............#..#.............#....#...#.#..#......#...........#............##..#....#.............#....#.......#.................#...#........................#..#.........#.......................###..........#...........#.........#....#..#.#...#..#....................#.....#.#.......................#.....................#.......#..##.#..#......#.....#...#............................#...............#..........#......#.................#.#....#..#........#......................#........................#....#.....#.#........#..................#.....#.....#..#...........#......................#..............#......#.#....#...#...#............#..###..............#..............#........
....#....#..........#...............#..#.....#.#............................#..#.............#.....#................#....................#...#................#..#.....#.#.#.#...................................................#.......##..#.#.#...............#.................##......#.....##.........................#......#........#.#...#.#......#.....#.....#.................#......#.................#.................................#.#......#....#.....#..........#..........#.......#..........#...................................#......#.#.........................#...#..#......................#................#...................##.............#..#.#................#........#.......#......#.........#.#...........#......#.#..............................#..................#......#........#.....#.#...........#......#.....#..............#.................#..........#.#.....#.....##...............................#..#........#..........#....
.......#...#.#........#....#........#.........#....#............#.................................#.#.....................##..........#.#............#............#.....###..##..#....................#............#..#......##.#.#..............#...............#............#.#..............#......#...#..#...........#..................#........#.....#.....#.....#.......#..........#.................#................#......#.#.#..................#.......#.....#.............#........#..........................#...#.......................#.....#.#...#....##.....#...........##......#..#....#...#.....#.......................#.........#.......................#..#....##....#.#.#..#...............#..................#.....#.##............##.....................................#...........#................##.....#..#.#...........................#.#..........#............................#....###..#..#.......#..#...............#....#.......#......#...
...#.......#....#....#.......................#...#.........#..........#..#..........................#.......................................#..#..#.#.....#...........#.........#...........................#.#........#.#.........#.....#.#..##..#....#....#.........#.#....#....#......................#...............#................#....................#..........#............#........................#.#..#..........#......##.....#.....#...#...................#............................#..............................#...........#.............#.............#..................##.........................#.............#..................##...#..#........##........#...#.#..#.#...#...#.......................#...................#.......#........#......#...#.#....#.....#....##....................##..#....................#...............#............................................#..........................#.......#......#.#...#...............
......#.#.............#.......#......#...#..........#...#...........#.......#.....................#................#......#............#.........##....#.....#......#.........#.....#.....#.....#...........#.....#.................#...........................#.#........###........................................................#.#.......#............#.........#..............#..................#...........#.....#...........#...............#.....#.#.......##......................#....#.#.............................#...................#...#.#............#............#..............###....................##.#.......#..........#.......#...................#..................................#......#......#.....#..........#....#..............#................#.#.....................#...............#........#....##...#.....#................................#...........................................#......#....#....#...........#..........#....#
...........#...##....#.......#..#......................#.............#..#.......#.#......#..............................##.............#.#.#...................#.....#...........#...........#.....................#.....#..........#.#.#....#..#...............#...................#...###...#...#.......##....#....#.#...#......#...............#........#.#......##........#..#.....#..........#..##...........#......#......#..#...........#............................................##........##..........#.......#..................#...............#.#..........#......................#.........#....#.............#..................##...............#.........#...#.#.........................#.#......................#..#..............#.......................................................#.....##.#........#..#....#.......#....#......................#...#.....................#..#....#...#..#.....#....#.#..............#.#....#..............#....#.....
..........#...#.#......................#.#............#..........................#............#....................#..........#...................#.....................#........#.##......##...#.....##.....#...........#...##......................#..#..........#......#.#..#...........#...............................#......#.#..#..#.#.#..........#..#...........#.................................#..........................#..#.#...#.........#....#..............#...#.....#.#...............#........#...........#.#......#....#...............................#.#.......#..#..#........................#..#....#.................................#..#.......#...#..........................#......##.#.#............#....#.#...........#.................#.......#.............#.#.........##............................#..............................#.............................#.#.##..............#.....#................................#..##...............#
..#.#.......#.............#.....#....#............#.........#.........#......#...................##......#.....##......##.......#..............#..............#........#......#.......#...##..............#......#......#...........................#...................#...............#.....#.............#....#............#..............#.............#.........##....#...#...........#.#.....#.#...........#........##..#.#...#..#.................#......#............##..#...............................#..................#..................#.......#....#................#.............................#..............#.............##........................................................#.......#......................................#.............#..................#...............................#...#....#...#...................................#.............#..#...##..........#.....#....................#....#..#........#...................#......
......#.......#........#........................................##.........#....................#.................##....##.......##..............................................#.#....#.......#..............................#....#.........#.........#.#.....#......#..........#...#......#...........#................#.............#........................................#.......#....#............#...........................................#.....#............#.................#............#...........................................#...........#.......#....#...........#...............#..........#.........#........#.................................#...........#..................................#....#....#........#....#....#....................................#......#...#.#....#...........................#............................#.#.#...........................#....................#.........................#.........#...................
.......#.............#.....#..........#...#.................#...............###........#....##.#.....#....#...............#..##..............#................#.......#..#..#..#...........................................#.....#...#........#........................#...................#.##...........#..................#..........#..........................#.............#.#..........#...#..#......................................................#.#..#..................#..................#..#.#.....#...................#...#.#.......#..............#..........#....#.#......#.....................................#...#............................................................##.............##.....................#...........................#.#................#..................##......#..#...............#..#........#........................#.................#............#..................#...................#...#.#.#................#.#......
.....#...#..........#......#.............#........#.........#..#..............#.................................................#..#..................#.#.#..................#.......................#......#...............#.....#.....##.#.....#...................#........................#.............#........#..#.......................................#............#...#...#.....................#..........#......#..............................#.#...#..........##.............#.....##.#............#.#.#..............#.#.........................#......#.............................................#.......#......#....#..#..#...........................#....#....................#......#.#................#......#......#..#...............#..#.......#...#...........#......................#....#........#...........................#.......##..............#..#...#......#................##.#....................#.........#...........#................
.........#...........##...................................#.....#..........#.....#....#......................#........#...#......................................#.....#.#............#............#..#...........#.......#.#.#.....##..#.....#...#..............#.#........................#......#....#..........#..............#..........#.............##............#.#..............#..........#.....#......#..............#........#.......#..##.##......#.............##...#....#......#.......................#.......................#.....#.........#............##.....#.....#.#........#.....#.#.........#.....#.......#..#.........##.....#....#........#.......#..........##..#.##.....#......................#.............#..#......#.#....#.#............#....#..#.....#...........................#..................#...............#........#.....#.............#......#..........................#......#.....#..............................................
#.#.#...#.................................................#.............................##.................#................#....#.....#.....................#......#...#...##..#.......................................................#................#......#.#...#.......#......................................##.#..........#................#.......#.......#..................#.........#...........................................#.........#..................#................#...##.#.#.........................#.....#..........#...#......#......#.......#...........#.....#.#........#............................#.#.....................#....#...#...#.#.......##..........#........##.............#........#.........##..................#....................#.......#................................#...#..#................#..................#.#.#..............................#.#............##...............#.#.....#......#.....#........#...........
........#.#...............#..........##.....#.....#.................#...#.............#....##..#.....................#.#..##........#..........#.........................#.....#..#...........#.#.............................#......#..............................#....................#.....#.......#..#.....................##......#....##...#....#.....#.........#.....#............##.............#..........................#.........#..#.....#..#...............................#...#............#...................#..............#...#...................#.#............................#.....#.......#.....#..............##...#.........#.#............#....................#......#.............##.......#....#..............#.........................#.#.#.......#.#..........#.#.#......#...#...#..#..#..................#...#.................#..............#.........#.......#.....#............#....##..................#...........#.......#.......#.......
.............................##........#..............#......#...#.............#.......................#.........#......#.#.##.........#......#...............................#..............#...........#....#........................#...#.....#..........................#...........#......................#.....#.#.......#..#.......#.......................#.....#......#......................#.....#.....#............#....................................#.#........#............#....#..........#.........#..............................................#....##..#..................#.#.......#........#........#.##.........................#........#......##..#...................#......................#..#....#........#....#....##....#.............................................#.................##.#....#.............#....................#............................#..........................#..#....#............#.#....#....#..#.....#...........
#......#..........#........#................#.......................#.......................#.......#..###...#....................................#........#........#....#.#......#.......#...#..........##......#.........#.......................#.#..#..#.......................................#.....#..........#...............#................##......#...#.........#........................##.#.......#..#....................#......#...#...........#.............#.#...#.#...............................#..#..............#.......#.#...#...........#......#.................#............................#....#..........#..#..............................................##......#..#......#.#..#.......#................#...#................#...#....##...................#.....#..............##....#..#.............#....#...#.....................#.....................#..#.......##....#..................###....##.....#.................#.......#.#........
......................###.........#.#......#...#.....#............#.............#...#.................###.#...#.#................#.##....#........#.......#....#......#........#..#.........#...........#.......#.#....#..................#......#..........#....................##....#.........................................#.#...............#..#..#..........................................#....#....#.........#..................#.....#............#..........................#........#...................#..#..............#..........#........#.......#...........#.......#..............#..#..#...#..#....#.............#..........#..........#.........#.#......................................................#......#....#...............................................................#................#.#.................................#.................#..#...........#.......................#..............#.###..........#..........................
.......#.......#........................#............#.........#..........#..............##.........#...#............................#.#.#............#...................#.......##..................#...................................#................#..............#.........##.......................#...#..........#....................#.............#...##..#...........#..........#...............#..................#..##....#.##.............#..........#.....#.......#..#..........#...#....#..#.....#.#...........#....#..#........#..##......#.................#....##..............#..............#.#.....#..........................................##...............#............#.........#..........#.......................#....................#..........................##............#.................#.......................#...............#............##....#.#...........................#.......#..........#....##.............#.#.....#.......#
...........................................#...#........#...............#.............#....#........#.....#.......##.......................................................#....##..............#............##..#.#....................#......................#...#..........................#....................................................###....#.............#..##................#...................#..............#.#.......#......##....#..............................#.#..#...#...................#......#..#......#...........#.....................#....#............................................#.....#...........#.......#.#...............#......#.#......##........................#..........#....#...........##..............#.#...........#.#..................#................#........#...............................#...............#.....#......#................................#..........................#..................................
........................................#.........#....#..#.#.....................#.....#.#..#.#...........................#.............#.#.....##...#..............................................#.......#....#...........#.........................#..................................#...........#..#...##.#..........#.......................#..................................#.#.......#.....#.......#...................#.#............................#.........#..........#..........................#...#.....#...............................#...#...........#....#........#..#...........................#.........................#...................#.##.........................###......#.#...........#........#......#.#............................#..#...........................#..........#..................#.......#....#.........#..#......#.....#.##....#..#......#.#.....#.......#......#....#..#.................#..................#......#.......
......#...#....................#...............#..........#.................##..#.....#.....#.#.......#.....#......#....#.#.....#...........#................................#......#.#..#..#..................#.................#..........#.........#......................#....#....#............#.....#......#.............................#........#.....#....................##.............#..........#..#.....#......#..........#....#....#....#....#.................##.......#..........#.....#...##....#..#.......##...#..................................................#..#.....#................#.............#.#........#....#..#...........#......................#...........#............#.#.........#......................#...##..........#..............#..#................##.............#.#...........#...#.................##...........................#.#......................#..#.##.......#.....#...........#..................................#....
.....#................#.......#....#.#.#..#...#.........#...#.#..................#.........................#........................#.#..........#..................................#.........#...............#............#....#........#......#...#.......#....#.......#......#...#......#................##......................#..#.....#.#.#.............##..............#...#.......#.##..............................#...............................##.............#.#.......................#..##...#......##........#..........#.......##..........#....................#.....#.....##.........#..........#........#..#....#..................#......#..............#..............#.......#..............#..............................#......................#..#............#..........#.#..#...#....##.##.........#..........#.....#........#...#...#.....#...........#........#....#....#........#..........#...................................###....###.......#
....................................................#..#......#.#.......#........#.........#...........#..#....#..........................#..................................................#..........#..........#.......#........#...........#......#.....................#....#............................#.............#.................#....#...##.......##..#.....................#..#...........#.#.........#...#..#.#...###.............#.....................................#....##......###.........#..#............#........#.........#..........................#...#........#..................#..#.............................#..#...#.................#...........#.........#.........#.#....#...............#.#....##..#..........#.#...................................##...#..#.............#........#...............#...............#..................#....#.................#..............#..#....#....#............#.........#....#.........#..#.......
.#..........#...#....#.......#....#.#..........##..........#..#.....#...........#.#...#..#..................#............#........#...............#....#...........#....................................#.....#...........#..........#.#..#.#...........#........#.................#..................#..#.................#..................#......#......#..............#................##...................................#...#......#..#.#..#...#.....#...............................#......#.................#....#.............#..#...#.......#....................#..#..........#..................#......#...#......................#......................#.#....#.........##..................#......#............#...........#............................#..#............#..................##.................#..#.....#......#............#....#...................#............#.#..........#..#..............#.............##.#......#........#...........#...
..........................#..........................#.................#.#..#..............#...#.#.....................#...#..............#.#..##.....#.#.....#.........................#........................#....................#.#..........................#....#...................#.......................#..............#.......#..#...#..............#.#................#.............#......###...#.#....#............................#.#...................#..............#...#...........#.#................#.........#............................#...#..........#................#....................#..................#................#............................##......#.#.......#...#..................#..........#..............#....#...............##...#............##...................#.#.....#....................#.....#....#.......#....#....#.#.....................#..........##.......#................#....................................
.#..............................#...#...................#.....#.#...............##...#................................#...............#....#.....#....#.....................#.#.#...........#.......#...................#..#....#..............#.....#......###................#...#........#.....#.......#....#............#....###...................#..........#...............#.........#.............................#.#.#......................#..#.#.###..............#.....###..................#.......#.#.....#.....................#........##.......#.....#......#.#....#.......##....................#...#..................#.....#.....#.....#......#....#.................#...................#.#..................##.....#............................#.......#.................#....................#.........#..#.......................#..#................#........#....###.....#.........................#...#..##............................#...............
............###.....#......................#...........#.#................##...#........................##.......#..#............##....#....#..#.........#.#...#....#.............#..#...........#..#..........#.......#...........#...............................#.#........#...##...##.....##...#......................#........................#...................................#......#.#.#.......................#...........#........#..........#....#.#.#.......#.#............................#.................................#..............................#........................#......#......#.....#.#......#..........##........#..........................#.......##...#............................#.......................##.........#......#....#...............#.......................#.........#.....#..#..#................#..........#.......#...#.......#...#........................#.....................#..........#.....................#..#...
....................#........#......#....#..............................#....#....#........#...........#......................#....#.....#........#...#..............................................#....#.........................#.........#...................#..........#....#.................#.........#..............##.....#........#..#...............#...........#......#..........................#..#...........#..........#...............................#.............#.........................#........#....#..............................#..##....##..#....##..........##..#........#....#..#.#..#...#............#...........................##...#.#.#........#.....#........#.......#......#.....#.....#.........#......##..............#......................................##..#..............#...#...#.............#.................#.................#.............................#.........#....#.........##.......................................
.........##........#...............#......#..#..............................#............................#...#.....##..#..#........................................#.......#....#..........#...........................#....................................................#............#...............#.#...#.....#.......#........#...#...#......#....#.#....................#..#..............................................#...............#.#........#.....#.#....##...#..........#.#.....#.......#....##...............##...#.....................#..#.#..........................#...................#.......##..................#......#.................#.........#.....#...#.................#..................#.................##.............#.............#.....#....#....#.......................#................#..................##....#......#..............#.#..........##..........#......................#.............#...............#........#......
.#.................#...........#...##.#.................#.......##.................##.......#...#......#.......#...........#..#.........#..................................................#.........#...................#...............#.......................#..............#..........#.....#........#..................#........................#.........#.......#.#.#....#..#.....#.......#....................#...#..#.#.........#........#........................................#..........#......#.............#...............#...#..##.##.....##....#........#.....#..#....#..#....##.#............#...........#.#...#..........#....#.#...........#........#....#....#...............##.#............#.................#...........#.#............#.....#.....................#...............#..............#.....................#.....................#............#.............#..#.................#.........#....#.....................##...................
.............................#...##...........#.......#........#.....#........#.....#..............#....#....#...#..#...#...........................#........#..................#..#.....#....#......#....#...#.........#................#.........................#.#............#.....#.#.................#...#....#..................#..#....#..............#........#..............##.................#...##.............................#............#........#........#...........#.#.............#....#.#.......##.........#.........##........................#..#............#....#.#................#.............#.........#...#..........#.......##..............#...#........................#.................#..................#.#.................#..........................#....#....#...#.....#......................#.......#.........................#......................#.......#....#..............................#.............#..###.....#..#.#.....#
.....#................#....#............#..................#.......#...#...........#...........#......#......#.......#.......#.#...........#.................#.......................#.........#.........##.....#...#..#.......#...........#..........#.......#..........#..........#...#................#.#..........#......#...........#..................#....................#.................##...#.#...................#....#...............................#......#...#.#..#.....#...........#....##.#........#.......#.#.....##.....................#..........#...........................#...#.#.............#.....#.....#.#.............#..........#....##....#.....................................#..........................#...............................#.......#...#..#.................................#..........#....#...........#........#......................#....##..#............#............................#.#.....................................
#........................#.#........#.....................#..........#...#...........#..##............#.........#...........##..............#.............#.#.........................#......#..#..............##....................#...#......#..........#.................#....#..................#.##..........................................#.....#...#......#.....#....#...............#...#..#...................#..##......#..............#................#......#.................................###........................#..........................#...................#.##...##.....#..#.#.................#..#......#....#............#.........#..#.#.........#...............#....#.........##......#.........#.........#.#.#..#....#....#....#.............#........#....#...#.....................##....................#.#........#...............#...............##.............................................#..#....#...#..........##...#.............
..##..........................#...#................#.......#........#.....#........#..............#..............#.........#........................#...................##..........#....##.#...........................#..#...#.....#...#....##....#..........................#...........#..#.................#....#......................................#.....#.#.#..........##........#.................#.........#.#....#.............#................................#..#..............................#..#.....#...#...........#...................#.#......#.........#..............................#.......#.........#...........#....#............#..#..........#..##..#...............................#......#......................##..........#...#..............##..............#.................#............#........##.#.#.....#...#..................#..........#.................#...............................#.............#.................#.##........
...........#...#.........#......................................#..#.......#..#................#.#...#.....#.........####.......#.....#...................#....#..........#.......#...........#...#...###....#........................#...............#...............#..................#........#.......#...#..........................#.#......#......................#.##.....#.......#............#.........##...........#......#.....#......#........#.................#..##...................#...........................#......##...........#..#..###...#.................#......................#.#...##.##.#..#..........#.......................#............#.#................#..#.#.....#...........#.#...........#......................#.#...........##...#......................#.#............#......#...#...............#.....#..#.#..............#...............#..#.#.#.#.......#......................#..#........#.....................#..........#.#.....
#.................##...................#......................................#...............#.#..#.......................#........#.............................##.............................#................................#................#.......#..................#.......#..........#............#...#.............#.................#..#.#....................#......##...............#..#..#.............##.#................#......#..#........#..............#.....#......#.#....#.#.................##............#.##............................##.............#....##....................#........#...#...#..........#...#.....#.........................#............................#..............#.....................#..................#.......#.........#.............#...................#...........#......##.#.....................##..#...#.....#.....................#.....#............###...#..#...........#................#......#...........
...........#........#...........#..#.............#........#....................................#.#.#.....#...............................#...............#.#...............................................##.#.#............#.....#.......#.....#..............#...........#...##........................#.....#....#.......#...................................#...#....................................##..#........#...#.#..#.#..........#.......#....................#....#.....................#.#.....#..........#.............#............................#.#....#.....................................#.........#........#...#.#......#..#........#..#....................................#..#.#......##.....#.......#......#....................#......................#...#.##......#.....................#....#............................#...#..#.#.........#....#.#............#...........#.##.......#.......##.........#......#........#........#................
..#.#......#...##.#.....#......#..#..#...#.....##..#................#..#...............................#.....#.....#........#...............#....#..........#.................#.......#....#...................#....................#....................#.#..............................#.......#.....#.##.............#......#........#............#..#..............#.........#.......#.....................#.......................#.....#..............#..............................#..................................#.........#.#..#......................##.......................#........#.............#..........#.................#..............#........................#.#.....#.....................#............#........#........#....#....................#....#..#.........#.............#..#........#....#..#.#.#.........#.#...#....#...##..#............................##.....#...#.........#..#...#....##................#..........#....#.##.........
...........#.....#...#..............#..#....................................................##..........#..#.#.....#......#.#......#...#...............#.......#.....................#..#...#....#........##.....#.....#............#..#...........#...#.........................#.......................#......#...............#............................#..#....#...#....#...................#....#...#...........#.......#................##.............#.........#.#..........................#........#.................#....#.............#.....#.......#.##.............#......................#...............#.................#.........................#...........#........#.............#....#..................#.......#................#.#.#.#....#.............##..................#..........#...#.......................#..#.........................................##.........#..................#......................#..................................
.......##...........#..........#..................................#........#..#...........#.....#.#............#...#...........#...........#.....#...........#...#............................#................#...#................#...............................#...........................#...#...#.....#..#.................##...#.#...........#..#............................................##.........................#...............#..#....#.......................................#....#..#..#....................#...............#..#.................................#..................#...............#.....#................#.........................#...#.....#.............................#.........#......................###.#..........................#..#................#...........#.#..#...#.#.....##................#.......................................#....#...####.##...................#...#...#..#.....#......................#..#...#...
.#...............#.....................#........#......#..........................#...........##...#....#.#.#.....................................................#..........#...#......#.....#........................#...#...#.##....................#.......................#......#..........#####.......................#...#.......#....#...............#........#................#.#..........................#...................#.#..#.#...#...#.#...............#...............##................#................#...............................#......#........#........#......#...........##.........#................#........#........................#..................#....#....#....#..........#....#........#.............................................#.....................#...............#......#......#.....#...#.......#..#......................#.........#.....#.............................#.#.#..#.............#...............................
#..#....#.#.##.#.....#..............#..........#......#...#...................................#......#..#...........#.#................................#...............#........................##...........#.#........................#...........#................#...##.....#............#.......#...#.....#...........##.......#....................................#.......#.......#.....................................##........#..............#.......#...........#...............#..........##...................#.......#....#........................#.......................#.#................#.....#..................#..#.#.....#...........#...............#.##.......#.........#.#...#........................#.....#............#........#...#....#........................#........#......................#.........#.#..#..........#...#..##..#.....#..........................#....#...#.#.#..#..#........##........................................#......#
....#.........#.................................#.............##......#.........................#...#...........#........#..#.........................#.....#......................#..#................##............#.............................#.#........#..#............#.#.....#....#....................................#.#.....#...#..............##...#...................##.#.................#.#..................#..........#...........#...........#...........#......#....#......#................#....#...................................#...............#.....#....................#...#........#.#.................#.#..#...#...........#..#.........#.................#........#....#....#.......#.......#..#.#...................#.........##....#...................#.#.##......................#.....#...............#...#.............#..................................................#.....................................................#.......#.#.
.....#.......................#..........................#..............................#.......#.......................#........#...#..#......................#...#........##................#....##..............................................#.........#...#.........................................#..##..#.#.......#.........#.#......#.#........#..............................#....#.......#.#....#...#.#................#..........#.......#.#.#........#..........................#..#....#.##...##.........................#..........................#.#.........#.....#.#...#...................#.......................................##..........#......................#........##.......#..#...#....#....#.#..##.....................#........................#............#.................#........#.........#...........#...........#...#...................##...#..#..............#.###............#.....#....#.#.........#.......#.......................
...#...#.......#..#.#.............................#....#...#...#...#..........................#............#........................##.#.....#...............................................#..#..#.....#...........#.#..##................#.............#...#.........#..................#...#...#.##............#..............................#.................................#......#...#....#.#.........#....#.........#......#...........#..........................#....#...........##..................#....................................#..................##...............#...................##.........#.....#.........#...#...###..................#.........................##....#........................##.#.....#.#.....#........#.#...#...#....#....#..................#.....#.........#...........#..#......#...#.........#.#..............#....................#.....#...........#..............#.#........##................#............#..#...#..#.#
.#....#...#..#..........#......................#.......#.#.....#......#..........#..#......#.............#.....................#.........##.......#.#........##.........#............##...##.......................#.......#...............................##....#..................#.......##......#...##...............#...................#...............##..................##.#............................#...........#.......#................#......##......................#.....#....#........................#...##....#........#...##........#.............#......#..#..#..............#.....#.....#.......#..............#.#.........#.......#........................##........##..#......#...................#....#...................................#..............................#...#.....#......#....#..........#...............#.....................................................................#...........................................#...#......
..##.....#..#....##.#....#..##...#...............#..##..................##......................#...........#.........#................#..#..................#..#..........#.........#..........#.#...#..##....#..........#.............#....#.....#.#...........#.#..........#......#................#.................#.....#.....#.....#......#...........................#..#.......#............#....#.#.#......#...####..................#....#........##..........#.........#.......#.#...##..........#.......#....#......................#..............#...............#..#....#..#..........#.#........#.......#.................................................................#............#...#.....#................#.#.....#..#..#..........................#..............................................#.#............#.................#..........#...#........#........................#...#....#............#............#....#.......#............#.......#
#...##...............#..#.............#.....#...#..#...............#.#...........#...................#............##............#........#...#..#..#............##........#...#.................#...#......#.#...###....................#...............................#.....................#.................#...#.#.........................#.#...#...#...........................#.#....#......#...............#...........#...#.#.....#.....##.....#......##......#................#.#.........###..#..............#..................##...............#.....##..#..#...#..#...........#..#.#........#.......................#..#.............#.....#...............#..#........................#.#...................#...........................#...#....#.........#.#............#........#.....................................#......#.............#........#.....#..........#.........#.....#........#..........................................#......................
..##.....#...................#.......##............#......#..............#.....#..#...#....#........#......................##.............#...#..##.....#.#........#....#...#...........#...#.......##...............#..#.#..##..................#.....#.#.......#...#......#......#.#..#.....#..#.#.................#..........#.......................................#...........#...............#.....#......#..............#.........#.........................#.............#....#....#........#..........#.........#...........#.#..##...#..............#.##..........#....#.....#.#........................##....#....##............#...........#.........#.....#.....#.................#...........#.......................##.........#..........#..........#.........#....#.........#.....#......##.......................#.........................#....#.....#.......#..#........#..#............#......#..........#...............#.........#...............#.........
........#...............#................#..........#............###..........#................................................#.............#.#..#.#.................#................#........#.........#..#...#...#............#........#.........#.#...............##........................#...#..#..........................#...................#...............................##..#............#...#................#.......................#.....#....#.................##...#.....#...#..........#..#....#......#...........#....#...................................#...............#..............#.....#............#.....#...........#......#....#.....#..........................................#..#...................................#................#........#.....##...#...........#...##....#.......#..................#...........#.....#..........#....#................#..............#...........#.....................#.........#.........##......#...#
...........#..#....#......................#.........................#................#.........#.........#.#.........#.......#.........#....................#........#..............#..............#........#.......#.......................#...#........#...............##......................#.......#.............#..#............#..........#..................................#...#....#.#.....#..#...#...............................#....#............#.........#......#.................#...#..........#..#.......##..#..##.........#...#.....................#...###...........#.....................#.............#.#................#.#...#.................###..........#.#......#....#...##..........##..#.....#...........#.##......................................................................#.........................#....##.........#......##..#.....#...#.#.#.......................#.....#.....#....##.......#...........................#......#.#.#..
.........#............#.........#..........#..##.....#.#.#...##.........#......#..............#............................................#......#...................#.........................#..................#..#.........#............#............#....#.........................................#.#...........#.................#............#...#...........#....#.........#..........#...............#....##...#......................#.................#...#..........#......................#..#..........#.....#...........................................#.........#...##.......#.....##...#...............#........#.....#.#.................#..##..#..#............#.#...#...#........#......#...........##......##.........##..................................#...........................#...........#...........................#..........#.......#......#.....#.....................#..............#..#.#....#.#.........#.................................
....#.#...........#.........##.........#...........#...###...................#.........#....#....#...#..#.#..#..#..#...............#.............#...#....#.#...........#....#.................#...........................#....##...#..................#...................##................#......#.....#....#......#....................#...#.#........#.......#...........................#......#........#.......#........#...##...........#.................#..#.........#.........#......#..#.##...........................#.............#............#...........#....................................#.............................................................#......#.#...........#......#.#...........................#.....#......##......#................................................#.................#...................................#.........#.........#.....................#......#..............#........................................##.#...
.....#......#.........#.........#......................#........#...........#.#......................#..#...............................#.##......#.......................#...............##........##...............#.........#.......#.#.#.........#.#.....................#........#..........#.............#.................#.....................#..........#....................................#.......#..........#.#..#....#..#....#.......#...........#..#....#...........##...................#.....#.....#............#..........................#..##...#...#.#...#.............#..............#..........##...........................#..................#......#...#.......#.......#.#................#.#...#.#.............##.................#....................................###.............##..............#...#.............#......#.............................##..#....................................................#........#......................
.........#...#........#.#............#.........#.......................#......#..................................#..#..#.#......#........#................#.....#..........................##......#....................#....#......#................................#.#.#..##.....#....#..#....#.......#.....#..#...#........#.......#...................................#.#.......#....#...#.........#.#...........#...............#.#.#...........................#.......#........#...#....#.#...#...........................#......##..........#....................#..........#.....................#....#............#..##......#.#......................##.......##..........#.....###.....#.....##..................................##..#.....................#......................#......#.....#.#.........#...............##..#....#....................#................#.#................................................#..#........####.....................#....
#........#.....................#.......#..............#......#....#.......#.......#........#.#...##........#.............#...............#...........#.....................#.........#....#....#..#....#...................................#..#...#............#..........#..................#............#..................#...#..#............#......#........#....#....#........#.#......#...........................#..............................#.#...#..........#..#........##...##.......#......#....#..#...#.......................#.....#..........##......#........#...........#.#........#......#.................#...##.......................#............................#.............................##.....#................#...................#......#.......#........................................#..#.#................#.......................#....#..........................#.........#.#...............#..........#..#....#..#...........#..........
........................#..........................#.........................#...#..#......#.............#.....#..#.........................#.........#...#.....#.............................#....#............#.#..#..........#...#....#.......##..#.#............#......#........#....................#..#............##...#....................#...............................#...............................#...#.............#........##......................##.#......#.....#.................#.........................##..................................#.....#.......#..................#.....#...##....#................................#..........................#......#..#.........#.....#........#.......#...#................#...........#...........#............#...#.....#..#...................#..#............................................#..........#..#...........#.............#...........#.#......#.............#...#....#.......#...........#.
.........##.#...........#.#.............................................................#......#...#..........##.................#......#....#.............#.#................#..........#.#..##.....#.#....##...............#....#.....#............#........#...#...........##...#.#...#.#....##...................#.....................#.#...#...............#.....#............................#.........#........#..#...................#.....#.........#...#...........#..............#.##....#.........#...#..#................#..................................#....................#.#.....................#........#.........#.......#.##..............#.#..............#..........#...#.................................#................................##.....#.#......#.................#...#...........#.#.#.................#...#...#...........................#................#....#.....#......#............#.#........#..#............#.......#.##.........
.........................#....#............#..#..................#............##.....#......#...................#......#..........#........##.#........................................#.#....##....................#...##..........#.......#.....#.............................#......#....#....#....#....##.......#.....................#................#......#.............#......###...........#.................#............#..............#....##...#.......#.....................#..#......................#.#.###.......#.......##..............................#...#...#......#..#.......................................#.......#................#..#....................#........#...#.......#..#...##.............#.....#......#.......###.#....................#...#................##..........#.#.....#.............#...........#..#....#.....##...........................#....#............#...................#..........#..#..#.....#.................#......
....................#..#...................#..............#.......#....#.#...............................................#......#....#.......................................#.................................#.....#........#...................#..#..#...#.......#......#.........................#.........#...##...#...#........#............##........#....#..#........#.............#.....#......................#.#....#.....#.................................#.#...........#...#...........#.....#................#.................#.......#..#.#...#......#.....................#...#....#..........##.....#...#.........##...........................#......#.....#..#.................#.....#.....................................#.........#..............#...............................#..#.........#..........................#............................#.#....#.....##...............................#............#...............#.......#......##.........
...#.#..#..........##.........#.....##.....#..#.###.....#....##.....#.........#...##...........#...............#.....................#....................#...................#................#.............#..........#.....#...#..#..........#.........#................#.........#.....................#.#.....#............#..#.................#...#........#..........#.....................#........#..........##.#.........##......#...........#.#.#.............................#......#.........#.#.................#.#...#.#.....#.................#....#.....#.....#.........#......#.#..#.......................#........#.#..........#..............................#.....#...#.....#.........#......#..#...##......#....#.........#...#.....#..#..........#...................................................#........#..#.......#................#.............................................#.....#....#......#..........................##..#..#.............
.............#.....#........................#.........#....#......#.......#.........#........................#..#........##..................#..................#.....................#......#.....................#.....................................#....#..............##.........................................#.#.......................#......................#..........#......#...........#...................#...................#.#........................#.....................#........#...........###..............#..#.#........#...#.....#............#..............................#....................#.........#...................#....#.#..........#.........##.......#....#..........#.............................#..................#..#...............#..............#...#...........#....#......................................................#...#...........##.....#......#....................#.......................#......................
..................#......#.#.................#......#............#.#.........#................................#.......................................#.........##.........#...#......................#.................#.................#...............#.#....#........#..#.......#.#.#.#..##......#...........#.................#................#......................#............................#...................................#..................................................##............#........#.........#.......#.#.....#...........................#.#........#....#...........#......#.....................#.......#...........##.......#..........#...#......#................#............#............#....#................#.......#......................#.........#...................#.................#..................................##.......#.......#.............#..........................#.............##............................#
.........#................................#.....#.................................#..#......#..................#......##..#..#...........................................##..................#.#..#...#.........##..#....#.....#.......#.....#.............##.........#...#..............#...#....#..........#......#...................#..#.....#.....#......#.....#.......#....###...#....#.....#.............#...#........##.#...................#.#......#.#.#...........#....#..........#................#..#.............#...#..................................#............##.#...............##................#..#.............##..............................................#.....##....#.....#..............................#............#...........#.....#..........#..#..........#............#....#............#.#.............#.#..........#...............#..#...............#......#....#..#..................#..##....#.......#.............#................
.#............#..#....#............#....................#...............#................#.........#.#....#...#.#..........................................#.......................#.....#.....#......#........................###....#................................#...#......#....#...........#.#............#............##.........................#.......................#.....#....#.#...........#.......#...............###....#........#................#........#.....................#...#..........#........#.........#.........#..#.#..........................#.........#..........#..#.......#..............#...#...#.........#..................#......#.............................##......#..............#......#...###.......#................#..#..................#..........#..#...............#.............#...#..............#.....#........##...#.....#..............#.................#..................................#..#.....#.............#...
.......#.....#...............................................#..........#.....###...#.............#..............#.........................#.....#......##.#...###.......#...#......#.##...#..#......#................#....#...................#.....#..............#.........#...#...#..................#.......#..........#...#...#..#......#........................................#...........#.........................#.........#....#.....#........#..#......#...............##......#.......#...........#...........#....#.............#.#...#...#.........#...........#...#....#.#......#........#.......................................#.#....................#.#....................#..#....#....................#.#.#........#.............#......#...............#..........#....................#......#..#.....#...........#............#..........#.#..#.........................##......................#.....................#...#..#..........................
...........#.....#....................#.......#............................................................#...#...........#.........#..............#..#.....#.....#....#..........#..........#....#....#.....##......#....#.......#..#....#......##.....................#.......#.....................................#...........#.......#..........................#............#..............#................#...........##..................#.....................#.#.....................#...#.....##....................#........##.#.....#.......#........#..........#......#........................#.....#...........#.............#.................#...#..................#.....#...........#..........................#.......#.#.........#................#.................#..........#...#.................##.........###.......#...........#......#.............#....................#.....#.#................#......................#......###.............#...
#.#...#.......#....................#...#...#...#....##.......#............#..................#.........#....##...............#......#......................#..#....................#..#.#....#....##.......#.....#.............#.....#.###........#..............##....................#....................#.......#.#...#.....##...........#...#......#....#................#..#.#..........................#...........................#....##.................#...............#.....#......#............................##.....#.....##.............#..#....##....#...........#.#...#.......................#....................#......................#.............#.......#........#......#....#......#.....#..#.........#..........#...#.........................#......#....#..#.#.#......................................#...............#......#.....#.....#....##...#...##................#...#..#.......#.............#...........#.......#......................#..#
.#..#...#....#....................#..#.#.......#................#.....##...........................#.........#................#..#...................#...#.......#.#............#....#.....#.........#.........#......#..........#........#................#.#............#.............#.....#.....##..#.........#...#....#..##........##............#........#....#.......#............#.....#..#...........#.................#................#.....#...#................#..#.......................###...................#.........#...#........#........#.....#..............#..#....#..............................##..........#.....#.....#.......#.......#............#...........#...#........#..#..........#....#.................#.................#...#..#...........#.......#....#..#...#.#...................#.#........#.#................#.#...#....#..............#.......#....#................................##..#.........................#....#..............
#...##.....###.........#.......#...................................................#........#..................................#.........#.#..#..................#........##..........................#.#.................#..#......#.##...#...#.#.........#.#.#..................#......#....#.........#..............#.#........#.......#....#........#..............#....#..............#..........##.#.#...........#..#.........................#...#....................#.......#..#....#......................#..#.....#..#..................................#........#............##.....#...............#..#..............#......##.....#............#...............#.#..........................##.#.......#......#............#................#..##..................#.....#....#.................#............##.........#..#....#....#..................................##.#....#......#.................#........................#............#...........#.......#.
....#.......#..................................#..................#......#....#.#....#...........#........#....#......#......#.....#..........#.#.....................#..................#..............................#...#.....#......................#........................................#..#.....#...#..........#..##....................#.#.............#.................#.#.#....#.............#....................#....#................#.#.......#.#.........................#............#...#.#.##.................#......#...........#..........#.............#..#..............##.......#....#...................#....#................#..............#........................#...................##..............................................#....#....#..#..#.........#.#.#..#...............#..........#........#...#.#............#...#.....#.............#..#..........##................#...............#.#.#.......................#....#..........
........#.#........#.............#..#...............#.......#........#................##...............##.#..#.......#............#..........................#.#.#.........................#................................................#...........#.....#...#..............#...#..........#.......#..............#.#................#.................................#...#...........#....#......##.................#....#.......#.#...#.........#.#........##..#...##..........#..#......#....#.#..................................................#.##.......#..........................#......#...#.......#............#...............#........#...#...................#.........................#..#....#........#...................#........#........#.#.......#.#...##...........................................#.....#........#.................#.....................#.........#....#.....#......#.........#.............##.....#.....#..........#...#.#..#......
.#...................#............................#.....#.#.......#.#.........#.................##....#..#..................#.....#.....................#......##..#..#..............#...............##......#.##............................................#..#.....#................#.#.......#.#...#..#..........#......#.....................#.......#..##........................#..........................#.........#........................................#...........................#..............##..#...................................#........................#.....#..#....#.........#.............#..##....#.....#.............#.#...#........................#......#....#..................................#...#.......#...............................#.#............#..........#............#...............#...............#.....#..................#.............................#............................##..#...........#..#.#..#............#....
...........#...........#.....................................#....#.............#............#...............##................#..#..................#....#.............#.......#......#..#..............................##.................#.................#.......#......................#........#..#................................#........................#..........................#.....#............#....#.............#...#..................#....#................#..#.........##.#..............##................#................#...........#.......#.#.......##..#...#.....###....#....#...#....#................#............#....#.#.....#...........#..........................#............#.#.#..#.........................#.............#..#....#......#................#..........................#......#...#.................#..........##.....#.........#.............#......#...#..................................#..#............#.......#........
..........#........#.......#..........#.....#..........#.....#.........#...##........#.#.........#......#.........................#..........#.#.....#......................................#...................................#..............###.........................#.........#..........#............................................#.........#.......#.#...........................#..#....#.#.......................#.....................#.................#..#..........................#....#........##..#.......#......#.......#..................#..................................................#..#.......#.....#...............#.....####....#..#...................................#..#....#.#........#....#....##...#.......#....##...................#....##....................................#...##.#........#......#................#......##.....#.......#.............#.....#..#........#.#.....#..#..#..............#.#............................
...............#.........#........#..........#.....#............#...............#....#........#.............................#..#...#................................#.#.............#....................................#..#.#........#......................#....#.#.............#....#.....#........#.........#...........#.............#.............#.................#............#..#..............##.........#.......#............................#..........#.#....#..#.#...........#..#.........#......................................................#.....##.#.#.#..........#.........................#...........#........#.....#..............................................#.....................#..#............#...............#.#.#...#...#..#.......#...........................#...................#...................#..........#....#....#..................#....#...##.........#...........#.................................#....................#....#
......#...........#.....#...........#.....#......#.#.........##...#...#.............#.............#.....#..............................#...........#......##.....#....#...........#....#.................#..#..........#......................#..................#.#............#...#...#................#.....#................#.#.#.....#..##......................#.......##.....................#....#.........#....#.....##..........#...##.##...#..##.#...#......#................#................#.....#....##.......#...#..##...#....................#...........#...............................#.....#.....#.......#..............#.........#....#.#.........#..#............##.......#.#.....##.#............#.........#...........#..........................#..##..............#..........#......#.....#...#........#.........#..........#....#..............................##......#.................#..#.....................##.......#....#..#.......#...........
#...........................#..#...............................#..#..#...#.......................##.........#.....#.....#..............#.......#..........................#.........#....#...........#.......#...#.....................#.....##............#...#...#.......#................#....................................#.................#...#...#...#....#..........#.....#..............#.#...#...................#............#........................#....#.......................#...#..#...#................#...#.#......##.......................#..........#.......#.......................#........#...#..#.#......#....#...............#..#.................................#.......#.#...............##.#.....................#......##..........#.........................................#...........#...#..............###...##......................#............#........#.................#.........#..................#...............................
....#..............#.....##.#............................#......##.......#....#........#...........#..............#........#...#........#..........#...........#..#...........#....##....#.............#.............#.......#.#....................##........#.......#...#.....#.....................................#........................#......#..........#..##.....................#................#......#...........#..........#.......##...#.....#.........#...............................##...............................#...#................#.#........................##......#...............................#.......#............#........................#..............#......#.....#...................#...........#......#.............#.....##..#.#............#.#.......................#..............#.........#.......##.....#..#.....................#..#..#............#....#......#.......#.............#......#...........................#......#
..#..............#.................#..................#.......#.....#..............#........#....#..................#....##..#........................................#.#......##.............#.............#..##.................#.........#..#..#.....#...............#...#.....##.##..#..............#......#...##.............#....#......##..................#....#.#.............#.#.............#....#.......#.......#...#.#.............#.........#..#...............#..................................#................#.....#..#...#...................................................#..#..............................#.....#..........................#...........................#..........#.....#................#.......#.#.....#.................................#......#....#.......##...#.......#.#...................#...#..#.#............#..#.............................###......#........#.............#................................#.#............
.#.....#....##.........#........#...#...............#..................................#...............#......#.......#....#...#................................##.....#............#....#.......#....#.#....#.#.........................#.....#......#...#.#..................#..................#....#...#...#.................####.......#.....#.....#...#........#...#.#..#...#.....#......##.....#..#.#..............#...#..#...................#.....##..#.....#...............#...#.....................#......##........#...#.#.##.#........#......#....................#......#..#..............#............#......................#.......................................#..#..#......#......#.#...................##.................................##.....#....................................#..#..#....#................................#....#........#...........#.......................#................#..##........#..#.........................#...#......#
....#.....................#..........#.........#................#..................#.............#.....#......................#....#...##...............#....##............#..##.#..........#.#...#.#..........##...#.................#.#...........................#.............#................#...#..##..#.............#..............##..................................................#...............................................................#.............##....#........................#.....................................#....#....#.#.........#...........................#..##.#...#.#.#.....#...#....................#..........................#...........#....##................#......#..................................#..........#..................#................#............#.#..#..##.#...........#.................#.............#.....#.......#.#..................................................#......#............................
....###........#..........#...#..#.........#..........#..##.....#.#.......#...#...........................##...##....#.......#......#.........#.................#...............#.................#.....#.....#....................##..........#............................#...#....................#.#.................##..#.....................#...........#...................................#.............................................#..............................#.......#...#.................#.................................#.#.......#.................#.........#..#......................#...................#.....................#............##..#................#................#...........#.........#...................#.....................#......................#..#...............#.............#.#..............#....#..#............#...#..#................................#..........#...........#.....#..........##....##..........##....
............#.........#......................#.........#.#...#...#.#.......#...........#............#..#............#..........#..............#.#.....................#.....#.......#..#..#....#..................#..##......#..#..#........#........#.....##....................#................................................#.......#.....##.#.#.#.#.....#.......................................#.#....#..............#...#.....#..#..................#..........#.##..........................#.....#.............##.........#...............................#....#..#.#.........#..................#.............#.................#......#........#......#.................#.............#.........................#................................#........#..#.....#..#......#.....#........................###...#...........#........#..#....................................#.#...#.....................##..................................#.........##..........#
..................#........###........#.....#.....................#..........#........#.......#...#.....#..........#..................#........#..#..............................#..........#...#..#............#...#..#...#..................##...............................................................#....#.#....#................#..#....................................#................#........#.........#......#.................#................#..#.........#...#.#...................#.....................##...................#....#...#.........#.................#...#...#.........#......#..#....#....#.#....................#..............#..........#...........#..................#.............................................................................................##....#.............#............................#..#.............#..................#....................................#.................#.....#.#.........#..#.#..
.##................#.......##....................#.#....................#.................#..#.#.....#.#.#........##..........#...#.#.#...#............#.##..#..#..........................#.#...##........#.............................................#..............#...#.#.......#....#......#...........#........#.#......#......#.#.#.#......#.#...#........#....................#...........#........#.#....#...............#....................#........#.#..#........#.......................###..##.....##......#....#....................#........##..#..........#..............................#..........#.....#.........#......#.......#.....#.....##...#...........#......#...#..............#..........#....#.###....##...................................#...#....#............#.............................#..#...#....#.#.....#...#...#....#...#.........#......................#........#...#........#....................................#......#........#.
#.......#.....#..............#................#.............................#.............#.....#......#..#.#....#...........................................#.............#.#............................................#..#...#..........#...#........#.....#...#..#................................#..#..#..#....................................................#..........#...........#..#..........#.#.##.....................#...........#.#..........#...........................#...#............................#.........#.......#.....#.........#...............#.#..............................................#...........#.#....##...#........#...##.......#.......#.....#.......#..#...#..........#........##.....................................#.#.....................#..#.......#...#..##................#..............#.............###.................#......#.............................#.##..........................#...#...................#......
....#.....#....#.......#..........##....#...........#............#...#......#...............#....................................#......#.....................#........#..#.........#....#.......#.#.......................#......................#....##..#....#.......................#.............###.............#.....#..............#..#................................#...#.......#................................#.#...........##........#.#.#..#.....................#...#......#.......#.........#.##.#.#....#...................#.................##..............#......#...................................#........#.....#...#.............#.....................#................................#.....#...#........#..#...............#...............#........................................#...................................#.......#..#.#...#................#......#...#...#.........#....##.............#.......................................#.....
......#......#....#.......................#..#...........#..................................##..............#.#..........#.#......#.............#...........#...#.......#...#..#.....#.#...........#..........................#....#..#.........#.#...................##..........................#.#...#...#.#....#...........#.....#..................#.........#................................#.........................##...#........#.#.#.#...........###.....#....#..#...............#......#........##....................#......#....#...#......#..#..#.............#.....#.......#.........#.....#.#.......#.#..#.........#........................#...#....#..........................#....##.............................#......#.......#...................#.....#.........##................###...#......#...............................#......................#.......................................#............................#............##.##.......#.....
...................................#..........#....#.............#.......#...#..........................##................#....................#........#.......#.....##..#......#............###...........#.......##.....#...............#....................#.................................##...........#..................##..#..##............#..........#..........#................#...##......#.............##............................#.................#.......................................#...............#....##...........................................#..........#.....................#.#...........#.#......................#....#........#.......................................#.......#...#....................#.......#...#............#.....#..#..........#................#...###..#...............#...#........................#.........................#....#......#.......#..........#....#...........#.##..........................#.....
#.............................#....................#.......................#...........##.....##........#.#...........#........................##..#..........................................#......#...................#....#.............#...................#...............#.................#..................#......#................##.#....#...................#....#...#....#.........#....#.....................................................................#.......#.........#..........#......##...#.....#.......................#....................#....#....................#..##.......#.#...#.............#...........................................#.......#.............................#....................#............#..........#.#..#......#.........#....................#.....#..#....#...................................#...........................................###......#...#....##..#.......#...................#................#..##.
..#................#.......#...#...................#...................................#.................#..........................#.........................#.............##..........................#.......................##............#............#......#.............................#.........#..................#...............#...#.....#........#.#.......#...#...................#...#.#......#..##.#.#...........##...#..#....#........#.##...#.................#...#.#....##.......#.......#...#........#...............#.................#.#.....#..............#.............................#............#.....................#..............#...#..#...##..........#.....#...##.............##..................##....#............#.....#.#.#.....#....#.......................#.#............#.....................................#...............#..............#....................#...#......................#................##....................
..............#...#......................................#....#......................#..#.....#.........#............#....##.........................#......#...#..#....#......................##.......................................#.#........#...................#.#...##..........#..........#..........##.............#...#.#......#..........#...#..#.#.................#.....................#......#..................#.................#....#.#..#........#..................................#.#..........................#....................................#.#..........#...#..........#.....#....#...##......#.......................##..#........#..........#...#...#.....#....#........................................#.#..#.......................................#.......................#....#.........................#.....................#..................#......#....#.....................#.......#...........#..................................#..
.............##...........#........#.........#.##.....#...#...................#.............................................##................#..#..................#...........#.........#..........................................#.#....#...............#...#...........#..#..#......#............#......#...................#.......#.......................#..#......#.....#..#......#......#.......#...#....................#.#....#.....##...#.#...........#....#...............#........#.#..........#.....#........#.........................................##....................#...................#...........#.........#.#...............................#..........#.......................#......##......................##.........#...............#.......##...#.#..##..#.......#.....#..........#........#..#..#...............#.............##...........#............#.................#.............#.#.........#.........................#....#..#.#......
#.........#...#....#....#........#.................#..........#............#....#...........#.....#...#......#.....#.............#............#..#......##.#.#...............................#...........#..........................#............#............#....#....#..#..#.#................##........#.......#.....................#................#.......#...#.....................#......#..#.......................................#....#...#.......................#........#........#......###....#..#...........#..........#..#.#........#....................#............................#.........#..........................#..................#.............#............#....#....#.........#.........#..#...#...#..#............#......#.....#.....#......#....................................#......#..#..............................##..........#.....................##........#..................................#.....#....#...#..#.##...#........#..#.
......#......................#.#..#.........................................#..................#......#.............#.#....#...........#.#.#.....#....##.........#....##..#......................................#....#..........#..............#...........#........................#...#.......#............#.#......#............#.#...#..............#........................#......#...#................##..........#......#.....................................................#...................#.........#....#..........#......#.........#......#...........##.#......#..........#.................#.#.........#...##............#......#....#...#......#..#.#................#...#...............#..#..#..#.................#.#.....................#......##...............##..........................#.#.....#..........#..........#........#.##.....##.#....#.#...........#...........#..#.#........#.....................#.....#............................#...
...............#.....#.........#..#.#.............#.............................#.......#..............#...........#.....#...#.#..........#..#.........#..............................##.#..#........#...#...#.....#...#.#.....##...............#...........................#............##.....#....##..#..........#..#................#....#...........................#......................#....#..........................#......#...##...#.....#.................#......#.......#....................#...##..............#......#...........#.#.........#....#.#....#....#.#..............#....#...#...............#..#....#..........#............#...........#.............#.........#.#......#...###.#.....#.........................#.................................................#......................#...............#.........#..#........................#....#...............#..........##................#......#..##........#.........#....................
..............##...........#..................#..........#.........#....#....#.......#.##...................#....#....#.#.....#.......#..........#.....#.........#........#..........#.........#.#.......................................##........................#.............#.......................#......................#.#.#............#............#.........#...............#..#.........................#........#.#........................#.......#...#......#....#.........#..........#..........................................#............#......#........................#.#.....#..........................................#.....#.....#..#...#......#...................#................................#.....#.#.........................................#.......##....#.#..#.........................#.................#...#....#.......................................................................#.....##.............................#...........
....#........#...............#.#...............#.#.#........#...###...#........#.#.........##............#.............#.........................#............#........#...............#.#......#...........#.........#...................#.........#........#.......##...........#...........#..........#...................#...#..............#.........#..........#........#........#.........#..#....#..#.#........#.#......#.....................#............#.................................#..#............#......#...........#.......#.....................#...............#.............#.....#.#.................#.#........#.....#.....#.......#......#...............#...............#........#...#......#................#..#............##......#.....#................................#.#...#..##.....................................................#..............#............#.....................#.................................#....#.................
.................#....##..............#.....#..#...................##................................#.#............#....#.....#....#.........#.#...........##.....#..........#..............##..##........#..............#..#.....................#.............................#..............#..#...............#.............#...............#.......#......#...............................................#.....#......#......#..........#.#..#................#............#....#....................#...........#.#........#.........................#....#.............#.##..............#.........#.......#...............#................#..........#.#............................#...#.................#....................##..............#.......#...#.##......#..................#............#.............#..##..#.......#.......#..#......................#....................#............##...#.......................#.........#.#.#........##...#.#......
..#...#........................#.......#........#.#.#...........................##...............#................#...................................................................#....#.....##..........##...#...................#..........#....#............#............#.............#..........#........................................#...#.#..#..........#.......#...#.#...#.#.......#.#.....................#.#......#...#........................#..#.......................................................................#..#...#.......#.....#........#..#...#..#.........#....#........................#.....#............#...........#.#............#....#....#..#.............#...............#................#..............#.................###..........#........................#......#.....................#..#...#..............#........#....#.............##...#....##.....#..#...##....#...#.....................#........#............#.#.......
............#......##...#...#.......#....#.##.#...#...##......#......#.......................#.........#........#...............#..#.........##........#..........#.#..............##......#.............#.......................#........#...#......#......#............#....#....#.................#...#.........................#..................##.........#..#........#......#...#....#.#....#...#..#................#..........#........#.................#............#....#.......................#.............#....#.#...#...............#..#....#...##..........#..............#.........#...................#.........#.............#...##............#..#........#..#...#...#....#........##.......#..#...............#.........#..#.......#............###..............................##........#....................#....#....#...#..#......................................................#.............#.........#....................................#......
..........................#..##.#..........#....#..........................#....#..##.........#...............#.........#...........#.....#...#...#......#.#.....#.....#........................#....................#..#...........#....#..#........#.......##.....#.#.........#.....#....#.................#........................#.#.#.##............#....................................................................#....#....................................................##...........#..#......#.........#....................#............#.............#......................#...#....#.........##........#.......#.#.....#..#...............#....................#.#.............................#.....#....................#.....##...........#....................................#..........#...#............##..........#...#......................#............#................#.................#.............................#.....#....#........#....
.....#..#...................#......#..........#..#..................#............##.....................#..........................................#......................................#...#...........##...........#.......##....................#..#.......#..........................#....................##.#....................#.#.#.....#....###..##..........#.....#.......#.#....................................#..#.............#.....##....................#.....#............##..#........................#.#............................#...............#.#..........................#..#.........................#......##.....#.........#..#...#.............#.......##.........#...........#...#................#..........#.....#....#......................#......#........#.........................#....#...........#.##...................#....#..........#..##.....................................##........#...#.#............#.....................#..
....#..................#.............#...#.....#.##......#.#..............#...........#..............#...........#...........#......................#..#................#.......#.#.............#.......##......................#.................#..#.....##......#.#.......................#..#.#........................#..#.#..................#........#....................#...#..#.#....#................#.....#......#.........###.....#................#..................#.....................#.......#..........................................#.......#..#..#.................#........................#..#....#...#.....#.......#.........###....................#.................#.#..#.....#.#..#..#.........................#........##......#........#........#........#...........#......#.#....#............#...................#............#............#............#...............#.#..............................................#....................
.....#......#......#...#.#...#..........#...........#..............#......##..#.............................#....#.#........#........#......#......#..............#...........................##....................#......#..#.......#..........#....#..##...#..................#.....#...#....................................................#............##.#.....#..............#..#...#...................#................#....#........#.......#.....#...................................#....#.##..........#.......#...#..#........#..#...................#....................#......#....#........................#..#....................#........................#............#.............#.#....#..............#...................#...#.........#.............##.......#.......#..........#.#........##..#........#...#....#.................#........#..#.#.#....#.......#..................#..................#......###............#......#....#...#...........
.....#............#...................##................#.........................#....#.......#..#.....................#..............#.#....#....#..#........#...........................#...#.......#.....#....#...............#.#......................#...#.......#.##..#....#............#.#...........#.........#................................#..#.........#.............#...................#.#.#...........#......#............#......#...#.............#....#...#...#......#.....#.....................#...#....#...............#....#............#................#................#...............................#..#.......#.#............#.........#.......#.........#.............#...#...#......#....#..........##..#.....................#.#..........#...#................#....#.#.....#....#.##............#.#...#...#........#.#.............#....#........#.....#.......#..#...#...#.....#....#......................#..........................#.........
........................#..#..........#..................#.#...............#...#..#............#.................................#.#.#....#.....#...#....#....#..............#..#...................................#.......#...#....................#...#....#........#........#....#...............#.................#..................##..#...............................................#...............#..#................#........#.#...#.........#.#......#.#....##......##......#...................##..........#.............#....#.................#............#.......#...#................#..#...#..........#..#......#....#..#......#.....#.#...................#...................##...........#............#....#.......#.#.#.......#.............................#.#..........#.............#...........#......#.......#....#........##................#..................#...........#....................#...............................#.......#.#......#.
#..#.............#.##..#.......#.............#....................#.......#......#..#..................#........#......#.........#...........#...#.......#.............#......#.#.#.............##..#.......#....#..#.....#..............................#....#..................#...........#..#.....#.#.#...#..#...#..#.........#..........##.#..............................#...#....#.##.#...........................#....#.#..#........#.##.................#.........................##.........#.............##............#.............##..#......#......#......#.............#...........##........#...#..#.##.....##.....#.....#...#.........#..#..#.##....#............................#..............#..........#.......##............#......#.....#.#......#.###...........#..................#...#.............#....#......................#...#....#.....#..#......#..#..........#..#.......#....#........#.....###.................................#.........#....
..#..#....###.............##...#.............#.#...........#..........#.##.....#.........#.....................#............#.............#...................#......#.......#..#...#.........#...............#.....#.........................#...............#...#..................................##.............#.......#..#.##.....#.....#.........#........#...#..............#.#.#...........##...........#...##.....................#.#..............#.#..............#.........................#..##.......##...........#..#...................#.......................................#.......#.#.#.#.........#......##..#...............#...........##........#.....#.....#.........#.........#.....#..#.................#......#.##....................##...#......#........#.............#......#...................#..........#.........#..#.#.#......#............#........#....#...........#...............#..#..#....#.......#.#............#........#....#.#.##..
..........................#.....#................#..........................#.....................#..............#.#..........#....#...........................................#.............#.......#...............#....#...................#.....#........#....#........................#.....##.......#...#...........#.....#.......##........................#...................#......................#.....#.....#..............#...................#.....................#.#.#...#......#.#.......##..........#...#....................#.....#............................#....#..........#.........................#...............##............#.........#..#......#........#.........#.............#.........#......#..........#.....#........#............#......#........................#............................................#.......#...#......#...#.......#.......#...............#......#.#.....#................#...................#.....#.#......#...
.#...#...........##....#....#.............#.#.......................##.....................#......#........#.....#.....#...#.#.........#.....#......#....#..#.................#......#........##.........#...................#..........#......#..................#...#....#..............#.........#...#.#...#...................#.#..#...................#...#..#...................#............#...#.......#...............###.........#.......#............#....................##.................................#.....#.#......................#..#................#....##.............#.#...............#.........#...............#.#........................#.........#...............................#...#................#.................#.#....................#............................#...........#.###..#............#.............#.................#..........#.#.................................#.................#.#...............................#....
.#.#...........#............#....................#....#.#.......#.........#......#................#...............###.....#...#.................#.....#...........#.........##......#.......#.#...........#.....#................#.............##...#..#..##.#...........#..#......##........#.#........#..........#.....#........#..............#.........#..#..........................#.................................#......................#...............#.#...........................................#..............##....#...#...............#..#...........#...#.....#.......#....#.#.............#..........##...#.....#...........#......#...............#.#.................#...................#........#..#.#...........#..##..#...........#.#..#..#....###..#......................#.....#............#..................###....#............................#.........................#......#....#..................#..................#.........#..#..#......
.........#..#.....###.............###..........#.........#........#....##........#............#.................................#..............#...........#...............#...........#.....#..........................#...........#.....#.##...................#..........................#....#...............##...#.............#....#...........................#..................#...........................#.............................#.....................................###..............#..#.#....#....#....#.............#............##........#....#.#......##.....#............#..........#...#......#...#..#...........#.......#.............#....#.......#.........#.................................#......................#...#......#......#...#............................................................................#.............#..#..#...#.....#..................#...........#..#.....#......#.....#..............#......#..............#....
.............................................#...#.....#.....#..................#.................................................#......................#........#.#.#...#....#...............#..........#.............#..............#..#..#....#.#.........................#.........................#...................#......#.#..........##..............#...................#................#....#..#.........#......................#.#................................##............#....#.........#.........#........#........................#.......#.....................#..........#...#.............#..#.#.........................................#...#........##...............................#....#...........#...........#..............#.............................................#..#.......#..#.##...............#.#...#.....#..........#...................................#....#.#......#...........#....#......................#.....#..............
......#..............................#..#........#....#.#.....#................#............................#...#..........#...#.......#.......#.#..#...........#.#.......#...#........................................#.................#.....#..............#...#..#......#...#...........#..............#...#.#.......#......#.#.............#........#..#.......#......#.............#...................#...............................#.###...#.............#.#....#................#......................................#.................#.......##.....##..........#...#.#......#........#......#..................#.#............#.........#...#.......#..#.#.........#...###...............................#....#......#..................#..........................#.......#........#.......#..........#..............#........#.......#.....#..#...#.......#...........#.#.....#.....##.............#....#.##....#................#.....#......#.............#....
......#..#..............##.............#...................#........................#..#.......#.#...##....#..............#...........#.................#...#...##................................................#...........#.............#...............................#..#.............#...........#.....#..#......#......................#...................#....#......#....#..#..#...#......#......#.#...................................#............##......................#..#.##....#.......#.......#........#....#...#.................................#...........#....#...#...............##..#.......#............................#.....................................#.............#.....#.....#...#...#...#..............................#..................#................#..#...#....#..#..............#.....................#....#....#......#.........#..#..#...........#......#.........#...........#.........#..#......................#............
....#........#....#......####...#.........#.....#...........#.....#....#...#............#.........##...#..#.......#..#.......#.......#...#...#.#...#........#....#...........#.............#.......................#....#...................#.......................................#....................................................##......#......................#........................#......#...#......#...#........#....##...#....#...#........................#.....#.....................#....#.......#....................#......................................#.#.......#.......................................#...................#............#......#.#............##..#..........#........#........................#...#.........#..#...................#................#...................................#........#....#...#..#............#.....................##......#......#..#...........#...........................................#...........
...............#.#.#................#......#...............................#..........#...#.................#......#............................##..#......................##.............#.#...#.......#.#...#.......#.......#..##.....................................#...................#...#........#....#.....#........................#......#.................#............#......................................#....................#....................#.........................#.....................##.....#.................#................##.......#....#....##.......#......#....#........#..........#...........#...............................#...................................#......#....#..........#..#........................#.................#................#....................#..#.....................#.#..............#..#..#.........................#.......#...........................#..........#....#......#..#.#.........#.........
.....................#........#...##..............................#..........#.....##........#........##.....................#..#................#...........#......#....................#.........#.........#.........#....#................#.......#.#..#...............#...#.............#.....#...........#...#....................#................#.#.........#......#.#....................#.................#............#....#.........#......#.#.........#...........................#...................#.#...#......##...............#............#..###...#...#.............................#.....#....................#........#..........##.....#......#.#....................#..........#.#........#....#....................#..#.............#...........#........................#.#.#..#...#..........##..#..........##..................##.#........#...............#......#...##..#......#........#.............................#.....................#.......
#........##...#......#...........#.........#.#.....##.................................#.....#.............#.....#........#....#............##.............#..........#..........#.#.#......#.....#.............#...#......#.......#....#......#..........#...........................#.......#..............##.............#..##......#...................#..........................................#.....#.#...........#.................#..........#.............#....#.........#.#...#..#.......#......#...............#.............#.#..#................#......#..#...#.......#................#........##....#...........#...#..#.....#.#..........##.....................#.....#.#..#...........#......#..............#..........#...#..#......#....#.#............#.................##....#.....#......................#.......#......#.....#...........................#.#............##..........#...#................#.....#.....#.............#........#.............
..............#....#..#..........#.#..........................................#...#..........................................................#....#...............#......#.#......#...#......................#...................#.....#.##..........#...........#......#..#...............#...........#..............#.#............#.......#.........................#....................#..#........#.#..#.................#................#..#.#.......#........................#.............#.............#.#...........#...#..#..................#.......#............#....#.#.....#..#.....#...#...#............##.......#.....................#......#.....#.#..............#...........##.......#....##....................#..............#.....#..................#....#...........##.......#........#..#............#.....#.....##............#..#..##.......##..#.........#.............#...........#.##.....................#.....................#...#............
....#.............#.................................#......................#.......#.....#...............#.............#......#.................#..#...#.#.#............#.#....##..#.....#..#....#.......##........##.#.#...........#........#....#...#...#.##......#.......#.............#..........#......#..#....#...........#............#...................................###.....#......................#..#.........................................#........#........#...#..#...................#..................#.......#........................##..#.....#..........#....#......#.....#.#................#..........................#..#..#.#...........#..................#...........##.........#..#............#.....#..#........#.#...#..#........#............#...............#................#..#...............#.................#.#.#.........................#..........##.#...............................................#..#........#..................
.....................#.##............#.................#................#.......#.#..##..#..........................#..#.........#..........##....#.....#.#.....................................................#.##................#.........#................#.#.....#..#.#............................###..#............#.............#..................##........#..#.#.....#.............#..........#.................#..........................#.........##...................#....................#..............#...#.#...................#......#.#...........#.................#.#....#...#..................#.......#............#..#.........#.....#.......................................................##....#...........#.#............#...............................#...#..#...............#.......#.......................##..#................#.........#.#.#...........#................................#.#...#....#......#........#.....................#
.......#.#...#....#......................................................#......#...........................#......#.....#......#....##.......#..............#..#..........#........#...........#.................#.......#........................#.............#...#.......#...............#.......#.........#...............#.......#.#.#....##.............#.......#........#..#.....#...#....#........................#................................#....#.#.........#.........#.......#.............#.##...#......#..................#.................#....#.....#................#..#..#..#..........#..............#...#..#.......##.#...................#.#...#..#.........#....#..#............##.......................................#.......#........................................#.....................................#....#..........#.......................#..........#....#....#.#.....#...............#..#.#..#.#.......#........#.....#...............
#........#.#.#....#...........#........#.#...........#.##.#.............................................#....#.#....#....#.#................#..#.................#......##..........#............................#..#..#.........#...........................#......##.............##..#........#................#..........#.........................................#.....#..........#..##.#...............#...........#...#.............#...#.......#.#.............#.......#.................#..........#..........................#...#.....#....#......##.......#.#....................#.......#..#.......#.........#................#.......#.....#...#....#...#.......#..........#.#.#..............................#.............##.....#......#.............................#.......#.....#............#...#...##.........................#.................................#....................#.....##..#..........#...............#.........#..........##.#........#.
...#.............#.........#.....#.#..............#.#.......#.#...........#........#........#.##....#..#.......#........#.......#..#........................#..#............#...#.....#.#..............#.......#...............#.......#..#.....................#...#.#...#...##..#..................##..........#..................#.#......#.............#..........#.#...............#.........................................#...........#...#.......#.............#.....#....................#.................#......#...#............#.......###.##............#....#..#...#.....#...#...##.........#.......................#.....##.......#...#.....................#..#.....#..#..........#....##.......#.............................#................#......##.......#...........#.................#...................##.#..........#........#..#.#.............#.#.....#.....................#......#.....#......#.........#........#..#.............................
.......#.#.........#......#..#..........#.......#...#..............#..#.......#..........#........#.....##..........#.............................#.............#.#..#...#..........................#......#.....#...#............#................##........................#.....#....#............##................#............#..................#.....#..#..#..................#.......#.......#............##.......#.............................#..#.....#.................................#............#.............................#......#.....#...........#...#......#..#...#..#.#.......#..#......#..#.......................#.....................#..........#....#.............#..................#.........#......###..........#................................#........#....................#....#..#...........................###......................#......#....##.......#.#...................................#....#.....#..............................
.................#.....#.......#.....#.....#..............##...#.............#..#........#..........................................#.#...........#..#.......................................#...........#.....................#................##......#......#......................##.....#...............#........##......................##....#......#...#.........#.#.....#.#....................#....#.........#...#.#...#..............................#.##............##...........#......#..........................#.........................#...............#.....#.......#......#.............#....#.....#.........#.................#.#......###..####....................#.............#........#.##..................#.............#.......................#.#..#.............#..........##.#............#..............#.....#........#.........#............#.....#..................#..........#.#....#..#....................#.......#.......#........#.......
.#.......##.......#.............#...........#........#...##.................#.#.....#..#...........................##...#.........##............#...............#.................#.....#.........................#.......#.#...#............##........................................#.................................#........#......#.##......#....#....#..#.....................#..#..#.....##........#..................................#......#....................#..#.##.#...............#....#.........#..#......#.....#.......#..................#...........#........#...##...........................#............#..#.............#.................#.#......................#......#...##................#.#.............#............#........................#......................#............#.............#..#............#.......#........................#....#.......##......................#....................#....##........#..##...................
#...##......#...........#..........#..#....#..............#..........#...............#..#..........#........#......#..#.........#.....................#..#.........#...................#..........#.#.......#...............................#...............................#......#.........#...........................#......#....#.##..#...........#............##.......#.#........................#.....##.....##...........................#.....##.............#.............................#................#...........#...................#..#....#.........#......#...................###.#..#....................#.....#......#......###.....#......##........#..##...#....#.....................................#...##............#.....#..#......................#...#....#..................#..#...........#.........................#.#.#.#..#...........#..#..#..........................#..#..........................#..........#..........#...............#..
................................#...#......#................................#...........#.........#...#..........................................#.........#........#..#...#............................#.#......................#.....#........#....................#....#...................#.#......#............#..........##................#..#.....................#..##.....#..##...#..#...#........#.......##..................#.#.....#.............#....#...#.#........#..........#..........##................##............#..#.........#......#...#.............#......#...................#....#.......##..............#..#..................#..#........................#...........#......#....#............#......#..#.#...................................................#.....#.....................#.#.......#................#....##.............#........#....#...............#.#.......#..............##........#........#..................#....#.#..#...
........#...#.....#.......##.....................#....................#....#........#........#...........................................................#.....#........#.....#.......#........................#..#.............#....#.......#............#..................#.#..................#....#.......#..#.......#.........#..................#..#........................#..............#........#.....................#....#........##..#.......#...#.................#.#................#.##........###.#.........#.......#.#.....#..............##.....#.....##........................#......................#.......#.#......#..#......................#...#..............#..#..#...........#........#..........................#.#.#.....#......#.###..............#............#.....#...#................#....#.............................#....................................................................................#..............#.............#..
..........#...#.....##.....#................#......##........#.....................#.........##.........#.#...............#........#......#.......#....#.....................#..............##.#........#...........#...........#............##..............#....#........................#................#.......#...........#.#...................#..#...................#..............#......................#........#.........#....#........#............#..#.##........#....................#....................##...............#......#.#...............#.#..............##...............#..#.#....#....#...................#.....#...#..#..........#....................#......#.#..........#.......................#.........................#............#.....#..............................#..........#............#.........#......#.#....##......#.................#.#.#....#..............#.......#..#...#................#.....#.......#......#..#..........
#...............#..........#..#.........#.#...........................#...#..............#.#.......#................#...............#......................#..#...#.......#.....................##..#....#......#...#.........................##......#.#...#....#........#.........#.#..#.................#........................#........................#.....#.....#.#.......................##..............##...........#.....#......#..........#..............#........#...#...............#..#............#....#........................#...#..#.........#..............#....#.........#............#.......#......#....#.............................#..#.......#..#...#................#.........#.......#.#.#...............#..#..##.#..#......#.......#..##.........#............#..........................#.....#.......#.#...................................#.....#..........##...................#......#....................................#....#.........#...
...#...............#..................................#..#................#.#..................#.........#..#........#.......................#.......#......#..............#.....#.........#.#...........##.........#.........#...#......#..#.#....##......##.#..............................#......#.................#.......#...#..#..#..........#.......#....#.....#.#.....#............#..........#.....#.................................#........................#......#.....#....#........#...#....#....#...............##..............#.....#...................................#...................................#.......#..............#..##...........#.........#.............#................#.............#..#..........................#..............#..................##...#.....#..#...............#......#.....#.........#.............#.......#..........#.....#...............................#...............................#....#................#....
.....#..#.........###......#.........#..........#..#.....#.#..................#.....#.........#.............##..................#.#.......................#...#.#.........#......#........##...#......#.....................#........##....................#........#......................#.............#......##.....#.................#................................#...............#.....#.....#..............#.....#..............................#.........#...............#.....#...........#...#.........#...............................#...................................#............#.....#........#.#.#....#............#.........#..........#.......................#..#...#...##.....#...##........#.............#..#...#..........#.......##...#.....#.......#...........##........#..#.........#...#.....#.......#.....#..........#.................#.#.......#........................................#..............................##.....##..............
..#.............#....#...#........#...........#.............#......................#..........#.#.........................................#....#.....................#..........#.#....................#.................................#.......##......#.....#......#....#.........#.#......##.#............................................#.............#............................#.......................#...#...........................#..........................#........#.......#........................#......#..............#...............#......#....#.....#...............#....................#..#....................................#.........#.............#.............................#..#...............#...................................#..............#.##......#..........#.........#..................#.....#.......#............#.....#...#.#................................#..#..#..#...............#.....##.......................#.........
......#....#..............#....#............#.................##........#..................................#.#...........#.....#.....#..................#.#....#...#.................#........##..#........................#.....#.....##.#.#......#.............#..#.#...............#.##.......#........#.#.#...#....#......#......#............#.#..................#.......................#.................#..##............#..........#.........#...................................#..#....#.................#.........#.....................#..........#..............#................................................#........#.#....##........................#.....#..#.....................#...#.........#.......#................#..........................#.............................#...........#..............#..............#..#....#.............#...#....................#.....#.......................#..##........#..........#.......#.#........###.....
..#..........##..................#..#...#..##....#.#.#................................................#.......#......#..............#.................#...........#...#........#..#.#....................................#...........#####....##........#.......##...................#...........#....#..........#.........#.#..#.....#......#............#.........................#........#......#...................#.#.................#......#..#........#..........#.......#..................#..........................#.....#..................#.......#...#...#..........................#....#.........#....................#..........#.......#...#.......#.................#...#....##....##....#............#.#..........#..#....#.....#.#........#........................#.....#.....#.......#.....#...#...........#.......#..........#.........#....................#..................#........##..............#.........#....#...##..................#.........
................................##......#.............................#..#........#...........#...#........#..........................#.#..#..............#...........#....#..#..............................#...............#................#...#...........#............#.......#.......#.............................#.............#..#.........##.....................#...#.#.............#.............#..........#....#.........#...#...#......#....#.....#...#..#.#.........#........#....#...........#.......#.......#...........#.....#....##........##.......#..#.............#..#....#...................##.#.......#.....#..........................................................#.............#.###................................#....##......#......#........................#.#...##.....#....#.........#.#.......#...........#.....#...#...#................#.....##.......#........##.....#...............#...#.#.......#.........#........#............#.##
.......#.....#............#.........#....#...............#..#.................#....#......#..................#......................................#.........#..............#....#.#....#...##..#.##...#........#..#........#........#.........................#...........#............#.......................#......#..................#..............#..##......#....#.#..................................#...........##.......#...#...........#...#.#..............#.##............#...#..#......#....#.#.........................#................#.........................#.............#..#...............#..#...................#.....#...#...............#.........#....##..............................#........#............#....#..............##................#..#..........##......#.##.....#......#......#....................#..........#.......#.........#........#.#..#.....#........##.........#...................#.....#............#...........#.......#
..........#....#...............#......#...#.......#.......##................#..#........##..................#............#...........##........#......................#...............................#.##............##...##................##.......#....................#..#.....#..................##..................#......#....#............#........................................#..#.#.........................##........................##.#....#.......#..#..........................#.......#...#................................#..#.................#.........#...#.............#....#............#........#..#....................................#........#.....#.....##..........#......................#...#..#....#..#.....#..#...........#...........................#......#............#.......#...##..............................#...#......#....#..............#............#................#........#..##....##.........#.......#..#..........#.#...
....#..#......................#........................#...#....#..........#....#..............#..#........#.....#....................#......#.................#..#..#............#........#..........#..........#.............................#.##..........#...#..##.#................................#............###...#......#...........................................................#.#............................#......#...#......#...#.......#.#..#.................#...............#...........#..#.........#.....#................##.......#...#.#....#...............#..#.........#................#..#....#..........##.#...#.................#............#...#.....................#..............#..#.....#....#...##.......#...................##..............####.....#............#..##.......#...#...................#..................#.....#.##.#...#.....................##.........#.........................................#....#.................
...............#.#...............................................#...#...........#.........##..#......#...###..................#.......................#..................#.........................##.....#...............#.#.#................#....##.....#.#......#.#..........#.......##..#.......................#...............#.....#.......#..........#.#..#...#...................................#.....#....#.#................#.#.........#..#.#.........................................##............#.#.....#...#...#.......................#.#.........#..#........#...........#..#.......#......#.#.............................#..#.....#....##....................#.#..................#........................#....#...#.##......#..............#.......................#.##...#.......#.....##...............#..........#.........#....#...#..............#..#..#............#.......#.......#.........#.........##......................#..#..#.........#.#.
............#...#...............#....#............#..............#..#..........#.....#............#.................#.##.....#.#........#..###.........#.......#........#.......#.........................#............#......#...#.....#.....#....#...................................#......#...#.......#.......#......#...................#...............#..#.......#.................#.........#.#........................#....#....#......#............................#.#....#.#.....................#.#.........#....................#............###...#.#..............#.#....##..#............#...#.....#.....................#....#...............#...............................#..#......##....#....#...........##...........#.#..#.......#.............#.....#............#....#.....#........##..##........#.........#...........................#.....#............#.........#.........#..#....#.#....##..............#..................##......................
............#...........#.....#......#..#......................###.##......#..............#....#.#.#.........#.#.......#............................##.....#..#.......###......#......#.........#....#......#..#.....#..............#.#....#.....##..#...............#.#.......................#..............#.................#.....................#....................................#..............###...........#..#................##....................................#........##......#.....#...#..#...............#.............#...............#...........#.#..................#.#.............##....................................#.#............#........#.....................#......................................#..#......#..............................#.............#.#............#.#......................#............#................................................................................................#...........#...#...........
.............#..........##..#.............#..#...............#.....#.....#...........#...........#.....................#...........#...#....................#...............#.....#.......#.........#..........#.........#..#.........#...#............#...#..................................#....#.....#..........#.#................................#......................#..................#.##...................#......................##...........#....#......#.....#.............#...........#.........................................#................#.........#...#..............#.........#........#....#..#.............#....#.#...............................#............#..............#....................#..#................................#........#..##....................#....#....###.#......#..........#.........#........#..........##..........#.#.....#..........................#..#...#........##.#.................#...............#.......#.
........................#........#...................###....#..................#.#.#.......#..#...............#....#..#..........##....#.......##.##.#............#...##...#..#..............#.#..#......#.................#.#.......#.........#...........................................##.............##.........................#........##.....................##.............#......................#..#...............#..#..........#..#....#.#...#....#................................##...............................#.....#...#.............##................#..................#..#.#........#.......#.....#.#.............#...##......#..#............#.....#..#....#.......#............##......................#...............#..........#.#....#........#.......#...##........#..........#.......#.................##........#..........#..#......................#..............#.#.#............#..##...#...........#..#..#.#.......#........#...............
#...............#..............#.#..................................##....................#.###..........#...#.......#......#........#............................##.............#.................................#..................................#.......#.....#..#...#..#....#.#..........#.............#.....................#.#........#..#........#.......................................#..#...#..................#.#..##.#..................#..............#....#....................................#...#.#....#.........#...........#............#........#...............#.....#..................#............#..#..###.#..##.......#................#...#.#..................#..........................#..........#.........#...#...........#..........#..#............................................#.#............#.......#..#..#......#.....#........#................#................#...#...........#....#.........#....#....#....#........#.#...........
..##........##......#..#....................#....................#.#..#..............#.....#........#.....#...#......#..#..#...#....#.....#.................###..##............#....................................#.............#..............#..........................#...............................#.........#...#..................#......#........#....#...#..#.#......................#..........#............#...#..#.........#.....#..#.....#....#....#...##...........#.#.......#...#.........#.....#...................#...................#........###...#.#.....##.................#.......#....#...........#..........##...........#........#..#...##.............#........................#........##.....#.......................#.....#.....#.........#....................#....#...........#...................##...#......................#...............#.........................#..#....#.....#.................#....##..#......#....#.....#........#..
.#.....#...#..#....#.#..#........#................#......................#.....#.....#.#....#....#.......#......#.#............#....#.................#.##.#.....#.......#......................#.##.....#...........#.................................................................................#.......#........#.#..#.........#..........#.....##....................................#.................#...#.....#....#...........#..##.........#........#.....#..#..........#...........#.......#...#................................................#...#..............#............#.#..............#.#..........##..............#.............#...................#....#.......................#....#..................................#...#...#...............#................#...#.......#.#.........#........#.........#....#.................#....................................#.........................#.........#.......#............#...#...........#....#
.....#.#..................#...........#.#...........#.......#.....#...#....................#........#....#..............................##...........#...........#.......................#.........................#.#....##..#...#.....#...........#......#.......................................#...#....##......#........#......#................................#........#...........#....#......#.................#.......#................................................................##.......#..................................#................#.....#...#....................#...................#..............#............##........#.........#.....#......#.................................#......#.#........................#................#...#.....#...........#.......................#...........#.#................#.......#...#...........##...............................#....##..................#..#...#...........#............#................
.................#..#.......#..........................#..#........##.........#.........#.#.......#....#................##......................#.#.#......#.#.....#.#...#...##.......#.#..........#.......#.......................#........#......##..................#..........#...#.....#........#..#..........#.................##......#......................#.................#...................................#..................#........#....#.#.......#.#......#....................#.......#..........#.#..#........................#..#.#............#......#....#.....#...#...#..#........#......#....#....#............#....#..........#..#.#............#......#............#..#.......#..#.......#....#..........#....................##..#................#.......#...#...#............#...............#.....#............#.........#.........................#.................#..#......................................##.............#.................#.
#...#...............#..#...........#........#......#................................#.................#....#.....#.#.........#......................#.....#.#...#.........................................##.#...........#................#......#......#......#.#...........................#....................#..#........................#.#.#..........#.#......#.............#........#......#....................#...#.............#....#........#.#........#.#........................#............#....#....................................#........#........#........#............#.....#.......#..#....#.#...........#.......##..#.......#.......#.#......#..................#...#...#....................#...................#......#........#...#.....#..#.........#.........#...................#.#..#.#.....#...............#...##.........#....#.#...........#......#........#....#..............#..............................#..#..#.....#...........#........
.........##..............#...#..#.........#....#..............................#.....#..................###....#.........#....................#...#...##......#........#..#.................................................................#................................#...............................................................................#....................##...#.......#.......#................#..................#.....#..............#............#.........#.....#..#.......................#.......#...........#......#......#..................#.#.#...#.................................#.....................#.........#.....#....#.#........#.......................##.........#..#..#.............#....##...#.........#.........................................................#.................##............#..#.#..#.#..#.........#...........#...............#.............#.........#...#.......##...#.......#..................#.......#..
.....#..................#..#.......#...#...........#....................................#..............##........#............#..#..........#..................#...........#..........#........#..........#....#............#..............................#............#.............................#..#.........#.#...#.......................##.....##..........#.#...............###..#.#..#.....#.#............#........#.#...........#.....#.......##.#....#....#..#.#..............#.......#..........#......................#.....#....................#.##..##..#..........#..#.................#...#....#........#...........#....................#...#.........................#.....#..#.##.................#............#.....#..........#............#.....#.#..............#...#..................#.#........#..#.......................................#.#...........#........#....##............................#...........#.....................#...........#..
........#......................#.............................#.#...........#....#........#....#....#...........#...##...#....................#................#......#..#................#....#.............#.......#........#..#...#..............#...........#..............##..........#.....#.#...#................#................#..#..#............................#........#............#...............#..#..##..#................#..........#.#...........................#....#....#........#...#..........................#....##.....##................#.....................#....##.......#......#.#....#..##........................#..............#...........#..........##....#................................................#..........#..#.........#....................#...........#.................................#......#......##........#.##.#...#..#.#..........#.......#.............#.................#..#..........#.......................#..#....
....##.....................................#......................#.................#..........#.........#...............#...................#.....................#...#....#..........#...............#..........#....##..#...........................#......#....###............................................................#...........#....................................#.........##........#....#..........#.....#........#............#....................#..............#..#..##..........#...###.#...#..#..............................................................#...#...................................................................#............#.....#...#...#...........#....................#.............##.....................#.....#..#.....................................................................##...#.#...#...........................#...#..#......#......#..........#.#.........#.......#.#.........#............................
....#....#......#.#......#..........................#.......#..#......#...#.......#.#.#.....##.....##...#..........#...#...#....................#.#..............##.....#.#...#..##..#.#.........................................#........##.............................##........................................#.....#....##...#..###.........#...#...........#..................#...................#...........#................#..#.#.......................##..............#...#.........#.........................#........#.....................................................#.#....#......#..#..........#...........#......#......#.................##..#..#.##.........#..#..#....#......#......#.........#........#........#.................#...#..#..........................##.......#.............#.......##............#....#..#..#.....#..##.......#......#..#..#.......#...................................#....#.#..#.#....#.................#.............
..#...............................#.##....#..#.##..................#..#..................................##......#............#................#.......#.....#........#.........#....#..............#.....#...#......#.........#...................#..#.....#.........#....#.#..........................#..#..#......#..................#........................................#.....#...................#...#......#.......#.#..#.............#...............#..........##.#........##....................#.................#............#.........#...##......................#.............#..#.......#.............#.......#..........#............................#.........#.........................#............#....#.......#...................#.....................................................#.....#............##......#..#............#..#.............#....##..#.............#...#.........##............#....................#..#...............#.........
#........#......#....#.........#...........................#......#.......#.#..................#........#.....................#.#.............##..............................#....#..........................................#..#................#......#.#...............#......#.........##................#......................#.........#..#.......#...........#..........#.........#...........#.#.............#........................#..................................#.#..#........##.#....#..............................##.........#.................................#...#.....#.........#........#.......#.....#.....#........#..#.....#......#.#..#....#.###..............#..........#.............#..................#.#.#.........#.............#........#.....#.#............................................#....#...#.#..................#................................#........#.##.....#.........#...#.......#..................................#......
#..........#..#..#..#..#........#......#..#...#........#.......#.........................#......#............#.................#.#..........#.........#..........#..#...............#....#........#......#.............##.........................#.............#...........................#......#.#.........................#.#........#............#.#..#...#........#......#......#......#.....#..#.#........#.....#...#...##.........#..#..#...#.....#.......#...#....#..........##.........#.......#........................#..............#.......#..#........#.#...........#..........#....#.......#........................#.......#......#.......#.....#..............#.........#.#..#..................#...................................#......#...........#.......#.............##....#.#..........##...#.#........#.......##....................#..................................#.....#..................#.......#...............................#.............
.................#..................................##.........#......................#...............#........#...##....#....#....#............#..#.#...#...#........#..................#...............#........#........#.#.#.......................#.#...#...........#.................#......#...#..##.............#.#.....................#....#.......#...................................................#........#..........................#......#..........#...........#......................#....#.#.............#..............................................#.....#.................#..........#....................#.......#......................................#....#............#............#.#.......................#..#.....#..#.#......#..............#......#....##..#..#..........#.......#...#.#........#....#.#.........#.#...#......#......#...........#..#.....#...........................#...#............................................##.#.
............#..................#....##....#....#..#.....#..#...........#.........#........#....#..........##...#.#.......#.....#.....#.#...##...#.....................#....#.........#........#............#........#........................##.......#........#.........#.........#....##...#..............#............#......#...................###..................#....................#.#.............#.........#..#.#.....#....#.........................#...#..#.........#............#.........#........#..........................................#.......#........................#....................#........#.#.....#..#............................#.#.........#...#........#.......#.#............................................#......#..#...................#.....#..#.........#.#.........#..#....................#......#.......#........#..................#.................#..........#..........#................#....#....#........................#.
.#.........#.......#.....................###..........................#.#..........#..#..#.....#......#...........#.#..........#.....#.#...........................#..................##.#............#....................##..#.........#.....#.......#..............#.#.......#.#...........#..#...#...........#......#............##.#.......#..................#...............................#...#.....................#.#...........#.........#..............#.....#......#..#..#....#.................................#.........#..............##.........#..#............#....#.#.........#........#.....#.......#...............#...............#.......#............#..........................#.....#.........#.........#......#...................#.............##......#..#....#.#.........#...#....#...#........#..................#............................#.........#...........................................#...............#.......#..................#.#
...........#................#...#.........................#.........#.............................#....................#...............................#..#...........#........#..............#.....#................#.#.#.............###...........................................................#..........................#..#.................#......#.........#......................................................#...#...#..........#.....#.#...................................#....#............#........#.#............#.............#..................#......#................#........#....#...........#.#............#..#.............#.........#...........##..#...#..#...##...........#...............#.........##.##.#..#.#.............#...#......#......#.....................#...........#...........#..#..#.#...#....................##......................#..#........#....................#.......#..##..........#....#...................#...#......
.....................#..................#.............................#..#...........#......#...........#.......#.#...........................................#.#..........#.#..##........#....##.....#................#....#.............#...........#...#...#.......#.#...........#....#........#..........#....#...............#..........##.....#.......##...............#...##........#................#....#...#......#....#....#...............#.#.........#..........#..#...............#..#...###.....#......#................................#............................#.#...#..#...#...................#.#...#......#..........#...#.#...........##................................#......#......#...#...#......................#..........#....................#.#......................#..........##....#.........##.......#...............................................................#.#.............##.#..................#...#........##.#..#............#.
...#.....#......#...#..#......#..#...#..#...#....##................#....##........#.......#..#.#...#................#..#.....#...................................................##...........#..#...............................##.........#...........#...#.....................#...........#...............................#....#............#.....#.#............#.......#...##...##.................#..................#......##..#..#....#.#..............#...............#..#..###...#.....#...............#...#.........#..............#...##..#....#..........#...................#.......#...#....................#..........#......................##..............#..##......#...#..........................#..........#........##.....#.....#...#..................................#.............#.....#.#....................#...#.....#.#........#.....#.#........#.......###............................#.........#..#........#........##.....#..#.................
.........#..#......#.........#..##..............................#.........#.......#..#......#........#..........#..#.....................#..........#......................................#......#..........#.......#...#...#.....#.....#....#.#..............#..##...............................#...#........#.............##..............#............................#..#..#.#..........#..............#...................#......#....................#.....#................#.......#.#........................#.......#..........#..........................#........#.......#...#......................##..#...........................#............#....#...#.#.#..........#...............#........#..##.##.#..........#...#..#...........#.......#....#.................#....#....#.....#......#...................#..#.........#...#..............##..........##.....#.#.....#............#...#.##......#.....#.#.#..........#...............#.....#................#
..................##..#..#....#.#..#..#......#....#...#..#.....#...............................................#.......#..........................................................#..........#....#...#....................#...............#..........#.......#.#....................#..............#.....................#...............................#.....#......................................#..............#...##.......#........................#..........#......#.........#.......#......#.......................#.##...#...................#.#.#.......#...................#....#..................#........................#...............#.....#.........................#...........#.........#........#.........#...#..#..##......................#.........#..##.#.............#....#.#......................##..#.............#........................#..................#...............#...#..........#...#....#.#........................................
.................#..........................#.......#..........................................#.#.........................#.................#......#..#..#........#.........##............#......................................#.............#......#.....#.....#.........#..........###.......#..............#...#.....#.............#..........##..#.............#.........#......................#......................#.....#..................#...........##....#............#.#...................#.......................#............................#.......#......#...........#..##.........#.....#.......................#......#....................#................................................#......#......................#.....#..................#.#............#.#......#......................#.......#......#..#........#.................##......................#.......#..#.....#.........#......#.#....#.........#..........#.##............#....
............#............................##......#...#...##..#............#.....#............#.#.........#.......#.#................#..#......#.....#...........#.................#...........#...#........##....#.......#.....#...#.....#.......#.#.......................#..........................................#..#...............#............#.............#.....#.................#.....#...#.....................#.......#..........#.............#........................................#..................#.#.#....#.....#........#.............#.....#.#....#.....#.....#...#.........###...............................#..............#.......##....####.........#......##...........#.................#.......#...............................#...#......#...#..#...#......#..#........#........#..#..........#..........................#.........#...............#.......#........#.......................................#...............#..#.................
.#.................#.....#...#....#..#.................#............#.............##....#......##.......#.........................#..#........#.................#..........##...............................#...............#....................................##......##.............................#...#.#.#......#.......................#....#.........#..#........#.......................##..............................#.....#.#.##..................................#.......#.#.......#..................................#.......#...#...................................................#.....#..#.........#..###.......#...........#..........##....................#..#...#......................................#...........#...#........#....##...........................#......#.....#.........#........................#........#.........##.......#...........#..........#......................#......#.........#........#...#...............................
.#.....#......#............#...#.....##........#......#..##........#.........#.......#............#...#.................#..........#.....#..#...........#..#..................#..#..........####...........................................##........................#...#...................#....#........#.....#......#.#......#..#.....................#.....#.#...#.........#.............#......#....#......................#.#..#.............#........................#.......#............................#........................#.#........###................#......#.............##.....##................#.................#.........#........##................#.#...........#...................................#........................................#.#..#...............#.................#..............................#.......#....##....#.......#.........#..#.............#...#..........#............#.......#...#........#.........#......#.....#.#...
........#........#.#......#................##.......#.........................#...#.......................#..........#...................#..................#.#................#...#..........#......#...#...........................#.................#..........#...........#..#...........#.#............................#..................................#.........#.......................................................##..........#...........#.......................#.......#.................#...........#.....................#..#..................................#....#.......#........#..................###............................................#........................#...#.....#...................#...#.....#.........#.#......................#.....#......##.#...............#..#.........................#...#........#.................#...#..#...........#........#........................#.........#...#......#..#.......#................#.
..................#.....#...........#....#..#.#.....#..................................#........#........#..###......#...#.............................#..........#......#.........#.................#......#...#..........#..#......#.....#...#........#...........##.......#.......#.............#.....##.......................................#...#......#...#.....#..#..................................#.....#..................##....................................#.#...#.......#........................#........#......#.......................##.........#...................#..........#.#.#..#.#.......#..#............##...#.#..#....#..............#......................................##..#...#....#......#.....................##........#..#...##........#.............#....##...#...........#...##.....#...............................................#.....#.........#................#.....#........#.......#..................#.###....................
.....#........#..................................#...#.................#..................................#...##........#........................#.....#...........#.....#...................................................#.......#...........#.#......#..#.#.............................................#.......##.........#......#...#.........#.#...............#.#...............##.........#....#.......#...................#..................#...........................#.......#..#............##.........#...#.............#..............##....#..#.....................#..............#..##.#............#.#...........#.............#...#..#........................#............................#....#..........#...#.....##...........................#................................#......#...........#...#.....#..........#...........#.....#..............#............#.#....................#........#.........#....#............#..........#........#..
..#.............................................#.#........#....#.....#.......#.......#......#.#.............................#........#...#..........#............#.....................#...............#..............................#........................#.#.....#...........#...#.......#................##......#.#........#................#....#.........................#.............##......#..#.........................###..#.....#...#...................#.........#..........#.#..........#............#...........#.....#........#.......#.......#.......#....................................................#...###.........#...#...........................#.#...........#.#.#......................................................##...........##..#..#........##..#..............#.....#.......#..................#................#.#......#.......#.........##......#....##............#.#.....##..#.....................#...........#.............#....
#........#.............#.#......#.....#.........#...#................................#.......#.........................................#...........................#....#..........#............#....#......#...#..................#...#.........#........#...#...###...#............#...................#.....#...#.#......#..............#..........#.......#....##..............#....#.........#.....#...........#....#...............##..#..#..##...#............#..#............#..#..............................##...........#...#................#..##.#......#.....#......#.....####..................#...............#.....#....#..#...#.#....##....##..........##...................##................#...............#......................................................#....#....................#.......................#......#...#.....#.......#..................#..........#.....................#...............#..........#....#...#........#...#........#.
...#......##................................#..............#.#...#.....#...........#.......#.....#.....#.........#..#.......#.#.#...#................................#...........#............................................#...............#..................#.#...#.....##....#...#.............#.......................#........##.#...#........................................................#.........#..........#.....................#......#....#...#....................#..#..............#.........#............#.......#............................#........#......##..#............#...##......#.........................................#...........#.......##.........#..#..........#...........#..........................#......#..........##.#................#.#...#..........#....#.........#.............#.............................#.#........##.........##...#......................................#....#..........................#.............##
#..........................#.....##.#.............#............#.#...........#.......#........................##......#.....#...................#......................................................................................#....#......................#.........#.#......#.#.#...........#...........#....................#....................................#.................#..........#.........#...........#...#...#.....#........#.........#...#.......#.........#.....#....#.#.........#.###......#.............................#.............................#.........#.....#.....#.#.......#......#....................#.....#....................#.....#............#......#........###.............#....#.....................#.##..#..#.........#...#....#................##..........#.......#....#........#..#..............##.....##...#.....#.##................#.#.................#......................................#.......................
.......................#.........##.........##.....................#...#.......................#..#.........#.................#.............................##..#..#..##...........#....#.........................#....#...#.#...#..................#.............#..........#.#.#.#.#....#.........##...#..............#............................................................##......#...........#.......#....#...........................#......#.##............#....#.#..........................#........................#..#..............##........#........#....#...#...........................#........#...........#.................#......#...##...#...#.##....................#...#.....#..........................#.............#...............................#.....#.#.....#.....#..#......#......#...##...........#.........#..#................#......................#....#.....................#.#...............#...#...............#...........#..#...
.....................#...............#.........#.................#.#.....................#.....................#......##.....#........#...............#........................#.........#...#.....#................#.#..........#..................#..........#..........#.................................#....#..........#..#.#...#...#...#..............##..#.......#...........#.##.........#..............#.......#........................#.......#..........#............####....#..#..................#.#.#.......#..............#...#......................#....#.#...............#..............................#.###.#.#...#.................#.........###..#..#...#.#......#.............#.#.#...................#.#..............##.......#............#..##....#.#..............#....................#...#.......###.#....#..#..#..............##.............#..........#.......#...........##....#.............#.#.....##..........#...........................##.
...#..................#.##....#.............#.............................#....#........#.................#..#.................#............###........#......#..........#.....................#....#....#...#......#.............#.##......#.................#..............................#......#...#..................................#........#......#...........##...#.#......................#..#............#.............#.....#..............................................................#...................................#..#..#.#.............#....#.......#..#...#.....#..........##.#.........#......#....#......#..#....#..........#........................#.............#......#...........#.....#.....#.#............##..#............#......................#........#........#..#...#..............#......................#....#.....#................#.................###...#.....................#............#.....#.......#.##..#...#......#......
..##.......#........#.........##............#...#....................................#.......................................................#.....#......#.....#.................#...#..................#...........##..........#....#...................#....................#..#...#...#......#......#.......................#.......#......................#........#.....#...............#..#...#....#..#...............#.......................#.##....................................#..#..........................#........#..........#..............#............##.............#..#...............#.#...................................#......................#..........#.............#............................#..............#..#.#.................#..............................##.....#...#.......#.....................................#....#..#............#.#...........#....#.................#...............#.....#....#...........#......#.#..........
............#...........#............#..............##............................#.....#....#.......#.........#.....#........................................#....#...#................................##........#.....#......#............##.......#.##................#....#........................#..........................................#.......#....#........#..##...#...................#.....#......#........#.......#............#.#...#......#..............#.............#.........#..###...#...........#.........#.....#...##.........................#.........#..##..#....................................##......#......#......#......................#..........#........###....#..#.#...............#..#....#................#............#.#.#.#..##...........#.............#..#.......#...#...........#......#................#........#.....#..............#...#...#..##....##.........#.......................#........#.............#..#.#.#...#..##...
.#.......#.#......................#...........#.#......................................#......##................................#..............#...#......#.......#...........................#..............##..........##.........#.#..................#......#...........................................................#...............####...#.....#.................#..#...........................................#...................................#....................#..........#........#...........#............#..........................##....#........#.......................##.#...#........#....#.......#.#....#..........#.....#..........#.........................#.......#...#....................##.....#...........#......#.#........#.......#.....#........#....#...............#.......#.......#............#....#.............................#.......................#...#.................#......#..#..............................#.............
.......#.......#.............#.......#.............#...#...........#..#...........#........#...................#..........#...#....#....#.#.....#............#..#...........................#...........#................#........#.....#.##....................#.....#..#.#.#..#..............#......#..........#.............#.......#............................#......#....#................##......................#..#..#...........#......#.........#......#.........#........#.........#.......##...........#....#..............#.#...#......#........#...#......#..#.#.##...#..............................................#.....#........#..............#...#.............#.....................#.....#.......#.........#.......#..#.................#...............#.#........#.#...#.............#..........#...........#...........#..............#....#...........#...#........................#..#..#................#.................#..............#.#...#...#.
#...#.......#....................#...............................................#...................#.#.......#...........#.....#.....#....#........................##........#....................#.......................#.........#....#......##......#........#..............#........#...............................#...............#........#................#..#..................#..................#.........#......................................##.##.....#.....#....#..#..........#......#................................#.#.....................#.....#.......#..#.#............#................................................#..#..........#..#.......#..........#.#.#...............#...........##..#.....#.....#......#..............#......#....#.#.#.......#........#...#.....#.#...............................#...#..........#.......#...#..............#............#.#..........#..................#.#.....................................#.........
...............#............##.......#.#..#........#.#.....##.....#.....#..#........#.......#.##...................................#..............##.#.....#...#.............#............#...............#..........................#..#.........#...#....#..............#.......#.....#........................#..........##...............#..#....#..##............#.#.......................#...............#..........#...#............#....#.............................#..#.....................................................#.........#.........#.#...........#.......#.........#......#...........#.#...#...............................#............................#..........................#..................#........#.......#.....................#......#.....#...................#......................#............#.....................#....................#.......................#..........#..........#.#...#..#.#.#...........................#....
.......#...#............#.........#......#....##.#.....#............#..#.......................#......................#.#............#.##...#...............#................#............................#....#.##.....#...............................#..............#.........................................................###....................................#...............#...#......#...............#.....................#.....................#...........#...#.............#.....#......#...................#...........#.......#.......##................#.#........##...#.#........#................................................#..#.................#...#............#.#..#.#............#.........#.......#..................................##........#..........#.#.............................#.........##........#..#....................................#.....................#.......#.............#.....#..............#........#..#...#.#.......
.....................................#.#.............................#...................#..##........................#..#..........#.........#..#.#......##...#.........#..........#..#...............##..#.......#.........#...#.............#......#.........#...##.....#.....................#.#.....#.#..............#............#.....................#...#..#....#.#.....#......#.........#......................#.......#................#........#.....#......................#...##.....#.......................#......##.............#..................#...#..........................#......#.#.................#...#..##..#......................#..........#..........#...#.......#.#...#..#..#.#.............#....#...#.....................#.......#...#....................................##.....##................#..#........##.##...........#.......................#...#...#...#.............###.............##..#.......#...........#...##.#......#..#....
................#..........................#...#.###....................................#..................#..............#.......#...........#...#......#...........##..#......##..#....#...........#..............#........#....#...........#...........#..#..#....#..#....#.........................#....#....#.#.......................#..............#............#..................###.#...........#.......#...............##..#.........................................#.#............###.....#.....................#.......#.#.#............#.....#.#......#.#.....#.........#....#........#.............#.......................#..#................#.............#..#.......................................#.#.........#.........#....##......#......................#................................................................#................#................#.#...................#.....#..................#......#....#................#..#.....#........
#..#...............#........#..#...........#................#.................#............#................#.......#.......................#..#.......#...........#...........#.......................#..........#.............#...#......#..#.#............................#..#............................#.............#.#................#.................#..#.........#...............#......##..........................#.....#................#................#.#..#......................................#............#.#.........................#.##.........#.......................#.....#....#......#.............#........#......##.#......................#.......#...........#....................................................................#...............#......#...................#....#.#..............#.......#.............#...........##........##.........#......#.#...#...................#..##.....................#..........................
......#......................#.........................................##.#.................................................#..............#....#..##.............................#.........##.....................#...................#....##..#.....#.................................#...........#.................#...................#..#.........................##..........#.........##........#.....#....#......#..#.#.................#...........#...............#...............................................#.....................................#.............................#.#....#.#....#.....................#......#.............##..................##............#..............................................#....................#...............#.......#.....#.......#.....#.............#.#.......................#..#..........................................#...................#..#.#.........#..........................................#...
...#...............................#....#......#................#..................#.................................................................#.........#........................#..#.#.#......................##.....#.#.#....#....#.#..#.........#......................#....#...........#...##...#..##...#........###........#.....#....#.#....#..............#....#....#......#..............#......#...........#..#.......#...........#......#...#..#.#..............#.....#...........#......#...#......#......#...#.#.....#.............................#............................#...........#................#...#.......#.......#................#...................#....#...#.........#.............#.....#.#..#............................###.#..........#........##.#......................#................#......................#..........#...#...................................#.....................#.......#...................#................#
..#......#..#.........................#....##..................................................#.......#................#....#...#....#.........#.#.#.....#...........##.#....................##.............#..............#............#..........###.....................#...#....#...........................#.......................#...#..#....#......#......#.#.........#......#..##..#..#.........................#...#.......#...#...........##............###............................#.......##........#...#...#.........#.........................#...#.............#..##..#.#.#..#........#............#...#................#.......#.....................#.....................#.............#...........#..........##.....#.................#.......#.....#.##..#......#......................#........##..#........#.......#..........................#.....#.......................#.....#............#........#........................#......................
#.#......#........#...#..........#....#..............#..#......#...#............................##.......................#..........##.............................................#............#.....#.#....#..........#.........#............#................##............#...............##..........#........#....#...............#.........#....#....#...#..#...........#.......................#..............##..................................#.........#.......#.#....###.......#....#...................#...........................#........#....#................#..#................#.........#..................#..#..#........##..............#..#.#........................#...........#.............#....................#......#.....#........#..#.........................#.......##....#........................#................#...................#.........................................#.#..............##..#..#.........##.........#...#.....#....
...#.........#.##...................#.......##...........#..........#..........................#.......#.#.#................#......#........#....#...#........#.........#.......#..................#...........#..................#..#....#........#........#..#.....#............#..............##.......##.............#...............#.#......#................#.........#.........#....#............#..........##......................#..............#......#..#............#..............#..#...........................................................#.#......#............##.....................#...##..#...#.......#..#.#.......#.........#....................................#.........#..................#.............#.........#....................#......#............#.#...................#.....##..........#....#.....#..#..............#...........#.........##.......#........#..........................#...................................#...........
.......#..........#..#.............................#...#.............#...#..#..##...........................#.#.#................#.............................#...................#.#.................#..................#........#.....#......#.......#.#......#...#...#................#......................#..#..#....#..#.#...#........#..#..#.#...#......#.....#........#....................#......#.............##.....#.........#............................................#.....#.....#.........#.......####.....#.................#........#.............##.................................................#..#..#.#............#...........#.......................#............#......#.......#.....................#...#.....#..........................#.........#.........#...........#....#....#............................#.......#......##........#..............................##.............#.....................#..........##..#....................
..#............................#..#..........................#.....##..........#.........#........#......#..#.#..............#..............#......#....#.##............##......##.................##...#.....#.......................#.........#.........................#.........#......#.#......#............................#.#..#....................##.........#......#..#...........#...#............................#....#............#.##............#.......................................#.........#...#............................#.#.#..#...#...................#..................##....#....#.......#............#.....#.....................................#.............#............................#.........##.....#.#....#.#....#.....................#.....................#.#......#........#.#.....#.##.....#...................#.#.........................................#.......#.#......#.............#........#...#.....#............#..........
..#.............#....#............#...#...#.....................#.....#......#..........#....#..#...........#.#.........................#...............#.............#..................#..................#..............................#.............#..................#.........#.....#.......#..............#..................................#.................................#.........#.....#...........#.......#........#.............#.....#................#......#...............#.#.....#.#....................#................#.........#.......#....#......#..#.......#...#.#.....#..##......................#....#.#....................##.......#.............#..#.........#......................#.........#.................#.............#.........##.....#...........#..#................#.#......#.........#.....#...........................#..................#........................##.#......#..#...................#.#.......................#...
......#.........#..#.......#.........#...........................................#...#...#.....#.........#...........#.........#.....#..#.#.......#......#...................#.#....................#........#..........#...................#......#..#..............#...#......................#........#......#......#.#......#...#................................#...........#.......#......#......#..................................................#...............#..............#...#..................#...#.##......#.#.#............#...#..#......#.............#......#.............#..#..............#............................#.....#......#.......###.................#................#.#..........#........#......#......#.#..................#........##..#..............................#.#..........#....#........#...#........#..............................#..#..................#.............#..........#..........#....#.....##........#..............
....#....#.....................#....#........#.....#................#....#..#..........................................#.#..................#...........#.....#...........#.#..............##...........#.................#........#...........................#..............#.#.....#.......................#.#......#........#........................#.............................#.......................#................................#.#........#.......#.................#.........................#.#......#...........#..#......##......#....#...#..#..#..#................#...........#......#............#......#...................#....#.....#..........#..............#...#.......#........#...............#....##................#...#.....#..#..#.....#...........#...........#..##............##...........#.##.........#.............#...........#......#...#..#.........#...#.......###.#..........##......#........##...............#....#...#..#....#....
.................................................#......#.........#.............#.........#..#.............###..............#.......................#.......#..#.#..#..#.....#............#....#...##..#.....#....#......##.......#.#........#...................#..#...#..........#...#...#.....#............................##.....#..##...#.#.....#.#...........#..#.#.#...........................................#....#.....#...#..........#......#.........#..................#...#............##....................#..#.#..............#........##...........#......#.........#.#.#.............#.#......##.......................#.#.#.....#............#.#........#.........#..#..........#........................#.....#............#........#.....................#................................#.................................................................#..#...#...............................#..................#..........................#.#......#..
...#.............................#..................................#......................#........#...........................#..##................................#..........................#.#............#............##..................#.........#...#..........#......#....###......................#.......#.....##...#..........#..#................#............##.#.........................#..................#......#...#........................#......#.#.................#......#..........#....#......#..#......#....#.................#.........##..#.............#....#.#..#.....#....................#.#.#.....#...##........#..........#...#.....#......#...................#.............###..........#.......................#.......#.#........................#......................................##.........#.........#..#....#............#....#..........................#.......#.............#.#...................................##.......#..
..#..................#........................#...........#.............#.............................................#..#.#...............#..#..#..............###..........#........#.........##.................##.#.......................#......##.#..............#.................#..........#....#.#.......##........#..........#.................#.......#....#..#..#.............#.....#..........##.#.....#...............................................................#........................#.....#.....#...............#..#.....................#....................#..................##..#............#..#.....................#.............#......#........................#................#...................###.#..........#.................................#...........##.............#.#........................#..........#.#......#............#.....................................#.....#........#...#....................#....#....#..........
.........##.#...#............#....#......................#................#..#...........#.....................#...#...........#......................#......#.#....................##.....................#..................................#...............#...#....#..#.#................#..#...........................................#............#.....#........................#...#....#....##....##...........#...#...................#....................#......#..................##...........#.......................#.....#...###.......#.....#....#..#.........#................#.......#..........#..................##.......................................#....#....##......#...#.....................#..#...#..........#.#....#...........................................................#....#...............................#...#..............#..#.#........#..........................#..............#.......#...........................#......#.#...
...#..............##...........#....#................................................#...#...............................#...#....#................#.......................#........##........##...#.............#....#.............##...............#...........#..............#...................#.........#....#............#..#.................##..........................#.##............#.....#..................#....#.........#............#......##...#...........#..............................................#..............#..............#....##.#..#......#...............#.....#.#.............#......#..........#...........................#..................#.......................#.#....#.#....#........#.#..#.....................................................#............##..#............##................................#..#.........#..#..........#............#..................#..........#...................................#........#.
#...................#...#..........#.....#.............#...........#................#.#....#........................#..............#...#.#...#.........#....#......#......................#......##..........................#..#..#....#..........#....#.............#.....#............#................#.....#.........#..#.......#......#.........................##.....................#.....................#.......#................#...............#.......................#.......................................##....#.#..#.......#............#....#.#....#.#........#............#.#.................#.....#....#...............................................#.....#..#..........#..#..#.........##.........#...........................................................#...............#....................................#..................#....#..................#..............#...........................#......#....................#........#........
#.......................................###....#....#.......##................##..................#.................................#.............#...#....#......#..####............#...#..#.....#..........##...#.....#............................##...............##................#................#.....................#..........#...........#...........#...................#.............#..........#......#...........#.....#.............#..........................#............#........#...................#...#....#.................#....#........#.......#.........#...#..#.......#.#......#.#...........#..........#....................##..#.#...........#......#..#......................................#.........#......#........................#........#...............#......#......#.##....#.........................#....#.......#.......#...........#............#..#.#............#................#..##...........................#.............#.
...#.#.......#..#.......#...........................#.........#.......#.#.......#.........#.......#........................#.##.#......#....#...........#.................#................................................................#...........#.......#...#.......................##.........#..................................................#.................##........#.#...........#.........................#.........#.........#...#......................#...........#.........#.#............#...#.....#.#...#.........................#.##.......................#.........#.......#.#...........#....#..........#.#.........##.........#.........................#.........##.....#..........................#.......#....##..........................................#..........#..#................#................#............#.#....#........#..#.............#.........#..........#.....#...........#..........................##............#........
#.#.............##.............#.#....#.............#....#..........#.................................##.......#...................#...#.#..#..........#............#...#.......#..........#......#.#....#.#..#.........................#......#..#....#...........#............##......#......#......................#............................#........#....#..##....#..........#.....#......#..............#................#.#...................#............................................................#..............#....#....#...#.......#..........................#.#......#.........#.#.....................#..#.....#.....#.............#.........#....#.#...........#.........#......................#.......#.........#.....##...#.......................#..........#......#..........#...........#.#..#.......##.....................#.........#.#.......#................#.##.#.........#.............#..............#.............................#......
............#...............##....#.......#.......#................#..............#....#....................#..#..#.#....................#........###.............#............#.........#.........#.....#........#.........#...#........................#...................#....#..............#................##.............#........#.......#.#..................#....#........................#..........................#.........................##....###.#......#..#.......#...#.......#...............#.#........................................#.......................#..##...............#.#..#.........#.................................#.......................#.....#.#...........#....#..........##..............#................#..........#...#.#.............#.#...#..............#.........####.....#.#....#...#......................#...........#.....#.#.#.............#.......#..........#............#.......#................................#.....
....#......................#................#........#...##..........................................#.........#.#.......#..............#........#.#......#.......#...................#....#..#.....#..........................................#.................................#........#............#...................#.....................#.......#...#....#.................#.....#..#.......#..........................#................#..#............#...#....##..##....#...............#..#......#................#....#.....#................#................#..#....#.........#..#.....#...........#..#.........##..........#.....##.#.......##..#....#..#......#.................................#......#...............#...........##..........#........#.....##.....#.#............#............#..#..#.....#............##.#...#.....#....#..#.............#....#.....#......#.#............#.#...#............#.....#..................#......................
...#.#..................#...................#.#................#.........#..............................#.#........#...............#.......#...............................#.......#........#..#............##....................#...#.....#............................#....#.....#.......#............#.....#..#...............#......................#........#...........#........#......#.#.#...........................................#.#....................................#...#...............#.....#..................##............#......#.......##.............................##.................................#.....................#......#..............#........#.....#..........#..........#.....#..............#.....##..#......#.#.............#................#...#...........#...........#.........#..............#......................#.............#.....#..##....#.......#........#.........#...#............#........#...........................
..........#.#.........................#........#.........#........................#.....##..###...#.........#....#..............#................#.......#...........#.......#............#.........#............#........................#..#....................#................#....................#......................#....##...............#.#...........................#.......................#.#...#.#...#.#..........#......#.....................#..#..#.##.#..#......#.........#..#..#.#.....#.##....#.##..#....#.#................#...............#.....#.....#......###.....#.........#........#.......................#.........#.....#..................#........#........#.....#........................#........#..............#.......#..........#...........##.......#...............#....#..###..........#.............#......#.........#.........#.....#......#..#.......#........................................#.......#.#....#.#..#......#..........
..............................#...............#....................##..#.#...............#..............................#........#.............................................#...........#....#..........##.....#.....#....#.................#...........#..............#....#......##....................................#....#.##..#....#...................#..................#...#............#.........#..........###................................#.#....#.....#.......#.......#....#.................##..#....#...#...............#.#....#...........#..#.#.............#.#...#...#..#............................................#...#....#....#...........#..#...........#....................#.#.#....#..#..............#..#..............................#......#..........#.......................................................#...............................##....#...#.#..........................#........#.....#...............................#..........
#.....#..................#.............................#.......#..................##..#..#..#...##....#..........#.....#..#.........................................................#....###...#.......#....#................#..#.#......#.........#.....#.........................................................##..............#.............................#.......#...........#.......##.....................................#.........#..#.................#............#.....................#...#...............#..........#...#................#....##...............#..............#.#........................................#.................................##....#..................#.............#.#..........#.................................................#...#....#.#.........................#..##.#..#.....#...................##...#.#..#...........#....#.#.........#...................................#......#...............#......................
.#...................#.....................#.#..................#.......#..#..........................#.#...................#.#.....#................#........#..#..........#......#...#...........##............#...#.#............##...#...#.#.......#..........#.............................................................................................................#............#..........#........#........###...#.............#.....#...#......#...........#.......#........##.................................#......#........#................#..............#......#..........................................................#.....#..........#............####.....#............................##..........#..............#....#..##.#.............##....##............#............#...........................................#..............#.....................#..#......#.....#.............#...........#.........#............#.......#...#..........
#...#...#......................#..................................#.#....#............#...#.........#.........................................#......#.#.............#.#..................#........#........#......#............#...........#..............#.....................#..................................................#.......##.#.##..................#..#...#....##..........#...#........#....#.....#..........................#...............................#..............#...#...#..................##....#.................#..#............#.#....#............#.............#.............#...#...#......................#.....#...............#.....#.....#.#.........#.............#..............#...............#.....##.......##.....#........................#.........#..........#...............#.#..........#............................##.#...#.............#................#..#.....#................#.#..........#..#.#................#...#.
..........#..............#......#........#........................#....##.......##......#.........#.......................#.......................#.........##...#............##..#.............#.....#..#.........................#......#.#.#.....#....................#............#.#.........#..#.......#...................#..#....................#........#........#...........................................#.......#........#..........#........#................#..#...........#.#..................................................#......................................#.....#.......................##.....#....#........#....##.#.....#.....#..............#...................#...................#......#........#..........#..#.......#..#.#...............................................#...............##.....#..............#.............#.#.............#.#...#......................#...#.......#...##.......#.......#...................#.....#.....
.#..#....#..#...##.....................#......#....#..#..#.....#....#..............#............#......#...#..........#..............##...#........##...#....#........#...#.#.....#...............................................#....#.#.......#...#....................#.....#..................##............#.........#.................#.................#........................#...............#...............#......#..#.......#.##.#.............#........#.........#...........#......##.#...........#.................##.........................#.###.......................................#.#.##...........#...##.......#.#...............#..#..##.....#........#.........#..................###......#..........#......................#...........#...................#.......#.....#..............#..#...#.......#....................#...#.....#..#..#.#........................##.........#......#....#.....#....#.#..........#..........................#...
...........#.#.#...........#......................#.......#..#.......#......#...#..#.....#..#.........#...#............#.......#..#..................#.....#......................#.................##...........#.....................#.............#.....................#....#.....#.....#...................#...............#.#...#..................#......................#....#.#.....#............#..#...#......#..........#....#.....#......##.#.##.............#..#.........#..........#..........#........#..#........#....#..................................#......#........#........#........#...##.........#........#...........#...#......#.....................#..#..........#...........#.........#.#.......................................................#...#......#.......#.................#..#............................#............##.#..#......................##......................#.#.........#.....#.........#...#......#.##...................
.#...............#..#.......................#..........#.....................##...............#.......#...#........#.............#...........#.....................................#.....#...................#..........#.....#..........#.....#...#..........#..#.............#.....#....................#.............#..#............#..............................#................#.............#...................#........#.#..........#................#.....#......#.##......##....##...........#...............###............#..##.............##..........#......#...................#.........#...##.....#.................#......#....#......#...................##.............#.....#.............#......#.#.......................#.......#....#.......#..#....................#......#..#..........##.....#....#..#...#.............#........................#.......##...#....................#...............#......#.....#..................................
.#.................#......#....................#..................................#.......................#.............#...#.......#...#...............#...............#..#.............#...............................#..........##......#......##..............#.#....#.......#....#.........#....##.........###............#..........#..........#............#.......................#....#..........#.....#...........#.............##..#.#...............##.#................#....#......................#.......#................#.....#.............#...#.......#..............#......................#..............#........#...................#...#............#...........#..............................#........................................#......#.........#.............#...........#.........#........#...#.##......##.....#.................#...#.#......#.....#.................#..##..............#..............#...#.........#.....#..........#......
...##.........#.......................#.......#.....................#.....#..#........#.#..........#.#......#...#............................#...#..............#.............##........#...............#.................#.....#.......#.#..#.#.#..#..........#.##.............#.......#..........#............##.#....................#.........##...#....#....#.......#.#..#.#...#....................#........#...........#....#.....#............#...#..#.....#...#..................................#...................................#...........#.#.....#.#......##.....................##..#.....#......#.......#.......#.........#..........................#.....#......#............##.#.....#.......#...................#.#....................#....#.......#..............#.....#..#........#.......#....#.......#..............#.##....#...#...............#......................#.............#...#.........#...##...#........#......#...............#.....#.#..
.........................#..#.....#.......#.....................#..............##..##..............#.................#........#..........................#......#.....#....#...#.........#.....#.#..#......................#..........#..................................#....#.......#...#.......#..........#...................#..........#.....#..................#........#.....#........#.....##.##....#...................#.....................#.##.......##.#........#....#.............#.....#..............#.##..................#.........#................#........##.......#.......#.......................#.......#..#..........#.............#...........#.......#......#...#........#..................##...................................#.....#........#.#..#..#....##...........#..#.............#..........#..#.............#..........#...........#..................#...#....#..#........#.#................#........##......#.........................#...
....#.............#................#.......................#...........#....#.......#....##....#................#............................#...........#...#.........#.#........#.............#..........#..........#.#..............#.#..........##.....#..............#...#....#....#....#...#......#...............#...........#...#.....#.....#........#....#.................#...........#........................................#.#..................................................#..#........#......#...............#.....#..#...#.#......#............................................#..#.##.................................................###........#..............#........#.....##.............#........#..............#......#.....#...............#...#.....#.#...........#..........#......#................#.............#........#.....................#..#.....................#.........#................................##..........#............#.#.#
....#........#..#.#.#........#....#.##..................#.#............................#..............#....#........................#..#....................................##.#...............#.....#...#.#...............#.#....#......................#................................................#......#....#.............#..#...................#...#...................#..........#..........##.....##....................##..........#........#...#....................#....................#.............#.##.#..........#......#.....#..###...........#....#..............#....#..........#..................#.............#.....#....#..##.#.#..........#.#................#............#..#..........#.#..#...........#.........#...............#......#.#........#....#......#.......#..............................#..#..#.....#............#.................#.#...#..........................#....#..........................................##.............#.
........#..#.............................##.......##.................#.........................#...............................#.....##......#....#.........#.......................###....#..........#...........................#...........#................#...#....#....##.......................#.....##....#........#..........#...#...###...........#..........#..#.##........#....................#.....#....#...#.............#....#......#.....................##............#...............#..#..#..#...............#................................#..#................#....##....................................................#........#...##......#..#.#.......#........................#..#....#.................#..#.............#..........................##.....#...#.........#....#...#.##.........##.....##......#..........#............#..#..#..................#.......#....#..#....##..#...#.....#...............#......#.........................#.
.##...#....##..........#...........#.........#...................#.....#.#..................#.#...#..#...........#.......#..#......#....................#...............#..##...................#...................#.#...............................................#...#.....#...............#..........#.#.#.......#.#.............#..#.#..........#.......#.................#....#.....##.........................#................#...#........................#..........................#.......#....................#.....#..##...#......#..........#.......................#.......##...#..#..#.#.....#......#..#....#...............#................#.........#.......................#...........................#....#....#.........#.......#.#..#............#......................#.........#...........#...#.......##.......#..........#...........#........................#....#................#.........#.#......................................#...........
......#.........................#...#....#...#......#..............#.....................#.......#................##..##.#.##..#................#.#.#.....##........##..............#..#...#.......#.......#............................#....#...............#..#.............#..#......#.#.#................#.....................#......................#...#..#..#...............#.........................#.....#.#...##...#.#.#...#...............................#...#..#..###....#................#....................#.....##....#.......................#......#.................#....#...#.....#.........#...#.........#................##..................................#.......#................#.#........#.....#.................#...#.#...#.......#........#.........................#...........#.............##.......#.......#............##.......#.........#....................................................#.....#............#................#.....#
....#......#........................................##...............................#.#.........#......................##....#......#.##.............#............#.#................#.....#.........................##...............#.............#..............#........#...#...#...#..................#............##....#................#....#............#..............................................................#....................##.#..#.........#...#..#...........#.#...............................#............#.......#.............#......#......##..................#.#....#.....................#.......#..........#...#...........#..#........................#.....................#.#.#..#.....................#..........#...#.....#.........................#.###.......................#..#..........................#.........#.........................#.......................#....#.............................#............#..............
.#...............#.......#..#......#.#...................................................#.#........#....#...#..#.........#...............#..#..........#.#..#.........##.#...#...................#..........#........................##..#.........#......................##.#..#...#..#....#........#.....#...#............#.......#.........#.#....##....#......#......#.....................................##.......#............#............#..#.....#.....................#..#.#.#...............##...............#.....#.............#...#......#........#..#...........#..........#........#..#..........#.............#.......#.#...#...............#...............................#...........#...............#....#........#........................#........##.........................#............#..............#.............##.........................................................#..........#..#....##.....................#....#...........#............
.........#......#..#......#...#.......#..........#..............#........................................##...#....................#...#..#.........#.....#.............................#....#.......#....#....#...#........#.....#................#.............#.......#.#..#........................#.............#.........#................#....................##.........#.........#..........#.....#.........#...........................#...#........#...#........#......##.......#...............................................#....#.........#....#................................#....#...................#...................................##.........#...........#............................#.#......#..#.#........#...#.....#........#.#.....#.......#.......#........#...#...............#...#....#........#......................................#...........#.........#...........#.....#.................#.....#..............................#.......#..
......#..#...##..#...................#.......#.............#........#.....#........#..................#......................#........#.#....#..#........................................#..................#..........#.....#...#.........##.............#...#......#..................................#..#..#........#.................#.....#..#...............#....#..................................#....#................#........#............................#..#..#....#..............................#.....#....#..#......##......#..#...........#..............#........#........#.#.............................................#..................#.........#........#...........#..#..#........#..#...#..................#.#.#......#..................#..#....#.................................#.#....##............................##..............#......#....................#..........#.........................#...........#..##............................
............#................#........#..##...............#............#.........#...............................###................#............#.............#..#.....................#....#..............................#................##..#..##.#.....#.....#..............#..#.........................##..#.##.....#....#..#.............###........#.....#..#...##..........#........#..#...#.##.#....................#.......#..............##.......................................#...............#.....##.............#...................#.........#.#........................#.....#..#.........#........#.............#...#....#...#.........#.##......#....................#....#...#....#.#...#.........................................#.................#................#.#......#.....................#...........................#...#..........#...#....#..........#.##..........#.......................#................#........#...#....#.#..#..###..
..#....................#.#........#...#..#..#...#...##.......##.#.........#..............#....................#..........#.........#.........#.....##........#.........#...............#.................#.......#...#............#........##..............#.....................#..............#.........#..#...#.#.#........#........#........#..............#....##..#..#.#......................................###.............#.....#...................#......#..........#...#...........#..........##..........##.....................................#.....#......#.............#..........#.................#.........#....#....##.#......#.............#..#.......#......#................#.....#.............................##............#.........#............#.#.....#.......#........#.......##......................#.#.......#.......#............#.......#....#..........#.#....#.........#..................#.................#....###.#.#...................
...............................#................................#.........#.......................##.#.....#.............##..............#..#........#...........#............#...#....#............#.............................#.....#......#......#...........#...........#...............#.......##.......#...#.......#.#.#............................#.....................#..................#.....................#.................#..#.##.......................#............#................................................#.....#..#..........#.....#.....##....#...................##.........#.....#.........#.............................#...#.....#.##.##...#..........####.......#..........##.........#......#..#.#......#..##..........................................#..................................#.........................#.........................#......#.....#.........................#................##.................#..................
................#................#..............#.....#..##.....#.#...##.##.#..........................#..........#.........#......##...............#.........#.....#..#.........##..........#..........#...........#....#...#.....................#.#.......................#..........#.............................#.......#.......#.................#................#............#................#...........#.......................#..........................#........................................................##....................#................................#...................................#.....#..##............#...........................................#...#........##....................##.....#.........#..##...#......................###.....#.#...##..........................#.....##.#.......#........#.............##...................#.........#..........#.#.................................................#...#.....#......#.
........................##.#....................#.......#.......#..#..#...........#......##..............##....#..#...#...#.....#........#...#.....##...............#.....................#..............#.........#..####........#.......................#........#.............##...........##...#..#.......#......#...#...#............###...........#..#..#...#..#..........................#...........#.................#.#....#.#.#..........#...................................#..........#...#.................#..............#...................................#...............#...............#...........#....#............................#...........#.....................##.#..#.#.......##...................###.#...............#..#......#.......................................#...#......#......................#...##...........#........#........#.......................................................#.......#........................#...#...#.....
#.#...#............#...........#......#...................#...#................................#................#......#......#.............#........#......#...........#.#......##.........#.........#.........#.....#......#........................#.#....................#.......................................#.....................................#.......................................#........#.#.............#..#......................#.........#..#.#..........#...............#....................#......#...............................#....................................#...............#.............................#.........#....##......#.#.#.#.............#..........#.................#...............#...........#..............#....#.................#.#...............#......#......#..............#......#.....#.........##...#...........................#......#....#........#....#..##......#.........#............#........#.............
........#.......#......#.#..........#.....#.#...............#...#.............#.....#............#.........#.............#....................#.#.............#...#....#........................#....#...........#...#.#................#.....................#..#...#................#....#......##........................................#..............#........##..................#...##.....#...#...#..........#.....#..#..#.....#........#........................#..............#..................##.....................#..............#.#...#...#.........#..................#..........#......##.......#..........................#.#............................#..................#...............................#.........................#........#......#....#.#....#.....#.....#.......#....#....#..#..#.............#.....................................#.#........#...#...#.................#......#.........#........................#..............#.....
............#....#....................#.....#.......................#...................#.#.#.........#......#.........................##....#.......##......#.......#.............#.......................#......#.................#.....................#.....#...#........#...........#....#.#...............#......#.....................................#....#......#.#.#..........#.................#.#..........#...........#.....##......................................#...........#..........#.....#.......#....#...........#...................#................#.......#.................###.....................................................#.#...........#.....#..................#.............#...###..#....#.................#....................#.........#......#....#.#..................#....#............................#..#....#.#....#............#........#..#.....#......#..........#..#....#........#..#.......#.#...........#.....#.............
#....................................................#........#...#.#..#..#.......#............#.....#.#.........#...#.............................#....#...#........#.......#.........###...........#..............#...#.............#.............##.....#.#............#............#..............................#....#.....#...........#......#......#..#.........#...................#..#..#...##....#....................#.....#..#.....#..#.....#.....#..##.#............#...#...........................#.....##.............#.........##..............#.#.....#..##......#..............#..#..................##..............#......................#.....#.#......................#........#......##..#.......................#.....#......#..#.........................#.............#....................#..#..#.#...#......#....##.....##...........#...........................#...............#......#......#.##................................#.#....#........#
.........#........#..........#..#..#......#.##.....#....#.................#..........#.......#..........#...#......#......................#.............................#..#....#..........##................##..###...#...............#..................#........#...............##......#.......................#............#...#...........#...........#.#.#.#..........................##.......#....#..#.....#..#..................#.#.#........................#....#..........#..#..........#.........................#............#.....#.........##.....####...............................#.....#....#....................#.....#............#.......................#........####.........................#.........#...........#............#...........................###......#..........#.....#.......#....................................#..#....#....#.................##...#.......................#.......#...##..#......#.............#..................##
...................#........#.....#.......#...........#.......................#..........#..#.##.............................##.......##.........#......................#...#...##.......#.....#....#......#.......#..........#............#.................#...#.......#......#..........#...........#...........#..........................#..................#...#...........#...#....#.......#......#...........#....................#..............#....................#...............#......#............#..#.#...#...............#................##...##.............#.............................#..#......................#..........#............#....................#....#..#.#..##.....##..........#..............#...................................................#...................#.#.......#.....#......#......#...................#...........................###..#...#..........#.##..#.#.............#.............#.........#.....#......#......#..
.....#............###......................#.#...#...........#.........#..#...............#...........##...................#....#..........#...........#..#......................#.....#..........##.....................##..........#.....#...........##....#............#........#...#..............#...#..#.............#..................##.........#.............#....#.#............#....................#.............#..#...#........#.##....##..........................#.................##.#.#..............#..................#.................................................#..#.....#.#......................#......#.#....##.#.......................................##.....#....#...................#.....#.....#....#...........................................................#...........#.......#.................#..#...............#...........#...........#................#..........................#.#.............#.............#..................
......#.#..#.....................#.........#........#.....#................#........#..##.........#....#................#............#.......#.#..#.....#...............#.........#................................##..#..................#..#.#.....................#.#.......................#...#...#......#.................#.........#..............#.#...........................#.#...#.......#.#......................#.#........................#................................#.....#...#.#...................##.............#...#...##.....#......#.....#..........................#...#..........#...........#......#.......#....................#.........###..#......#.........#......##...................................#.......#..#..#...............#......#.##.............................#.....................................................#...................#.......#......#................#...........................##..............#...........
.....#.#.........#.#....#.....#.......#..#.............#....##...#.#........#........#.#.................#........#..........................#.......#.....#.#....#....#.........#...........#....##........#........#.#...#..#.........#.......##..............#.........#....#......#.......#.........................#.#..........#..........##......##..#.....#..#...............................#.#..#.....#...................#..............#...#...............................#...............................................#......##.................#..#........#..#....#......#..#..............................#..#....#...............#.........#..#................................#...........#.#.......##.#...................#.......#........#...............#............#.#...........#...........................#.#......##...#................#........#...............#............#....#................#..........#...#.........#.#.#.....##.#.......#
.#....#..............#.......#...............#.................#..................#.....................#......................#.....................#...............#...#..#.......#.........#.#....#....#.............#.#....................#................#.................#..#......#....#........#...................................#.................#...#.#..#.#..#.............................#................#..........................#.................................#.........................................#..#.#............................#....##.....#....................#...##.#..............#.#....##...#..........................#.....#..#...................................#.......#....##....#............#......#.#...#...........#.......#..#....#.....................#.........................#....#...#.....#................##..............#.........#............#.......#...#...........#..#........#............#................
.........#.....#...................###.#..#........#....#...#.....#.....#.......#..............##.##.....#............#............#.......#..................#.....##.#...#...............................#..#.............................................................#......#............#...........#....#................##............#..........#.......................#...#..................................................#.....................#.#.#.....#...#..............................#.................#........##....#.......#..............#......#....#.......#..........#...#.....#..........#.............##.........#............#...............#......#...##...........##........#................................#.....#..#..#.......#........#......................#.............#....#......#.................#.............#...............#..........................#....#.#.............#.....#..#....#......#....................#......#.
.#.......#..........#..........#.......................#......#........##...#........................##.#...#..........................#.#...............#.........#.#........#.....#..#..............#...#............#.....#.....#....#.....#.....#.#..#......#...#..........................##..................#.#....#........#..#..#..#.....#..........#.#.................................#...#.#.........#..........#............#.......................#...#..#..............................#..............#...#...................................##.............................#......##....#.#...............................#.#.#.........#........#................................##..................................#.........#....##.........#............#..#....#..#..........#..#...#....#.............#.........................#........#...............#..........................#..............................#.............#...........#............
.........#...........................................#..#.#..................................##.........#....#..#..................#....................#...................................#..#........#.#..........#....#....#.........#.##.##................................#......#....................................#..#...#..................#..........#.........#..........#.....#...#..............#...........#..##..#.............##..#.....#.#.......#......................#........#.........##....#....#....#...............#..#.....#.#..#......#....#....................................................#.#...............................#..#....#.#.............#.......#..........#.....#.#..#.................#.................................#....#.............#.......#.#.........#....#...#..............#......#..........................#..#..........................#.................#....#.......##...................#.......#........#.....
......#................#.......................#.................................##............#.....#.............#.........................#...............................#..................................#.........#....#.#....#......#....#..........#...........#..........#.#..#........#..............#....##......#.......#.............................#...#.............#...........#..................#..........##...........#..........#....##..............#.......#.........................#..#...#..........................#.....#....#.#.#.....................##.................#...#.....................#..........#...............#..........#...........#.#.#.#...........#............................#.....#........................#.#..........#..............##............................#............#......#...##.............#...#.......#........#......#..................#..#....#......................................#......#...#.....
......#..#.................#................................#...#.............#.......#......#...........#.......................#...#.#...........#.#....#............#.#..............##...#...#....#........#.....#....#.#............#...##...........#...#.##.#.#....#......#.......#................#.............#......................#..#................#.......#..#.#.............#...........#...#...................#..#.#..#......#.......##.#...........#..#.....................................................#.#...#........#.#......##.#...#..........#.##.#...................................#.......#.................#.....#.......#.#...##.................#...................................#....#....#..#.............#.....#......#.............................#.............#......#...............##..#.....................#...#......#..............#.....#..........#.......#.....#......#.......#........................#...#.#.......#..#..
....#........#......#......##..........................#......##.......#......#...................#..#.#...........#....#...#........###......#...........................#....#....#...............................#..............#..#.....................................##...#...#........#...........#.#.....#..#.................#.........................#...........#....#................#...#.##....#.#...#....#..........................#....................................#......#.................................#.....#........#.......................................#..#.......................................#...#.#...............................................##............#....#...#.#.........#..##..#.........#............#...#.........#.###..........##....................#..#..#.....##..........#..........#.........#.........#.........#....#...........#...##...#........#..#............................#..#............................
...........#...#..............#.................###...................#......................................#..........#.#..#..................#........#................#...#...................#...#....#.#...#.#......#..................#..#..........#.....#........................#.................#.....#.......#.....#............#.........#.....#...#.....#.....#......#..#...............#.........................#..#....................#...#............#..##.....##...................#.................#...#......##.#..........#........................#................#...............#.....#................#.#.#.#.....#............##...#...............................#..............#..........#.........#.......#............#...#..#.#............#...........#...........#.#..............#....#.............#.............#.............#......##......#...........##...............#........#..#....#...#............#...................#....##
.#....#.......#..#.......................#.....#..#...................##.............#.............#.....#...........#....#.....................#.....#..............#.........#...#....#..#.....#.........#.........................#..#.........................................#........#..#......#...........#...............................................#..............#..........#...................#...........#..#.......#...#.....#....#..#...##...#.......##....................#...#.........................................##..........#...#..............#.#..##...........#............##...........#...#..#.....................#...#...#................#...............................#.........#...........#..................#.#....#.#..##....#................#.......#...........#...#...........#.....................#..........##..#..#........#........#...................#..........#........................#................#...............#.
#.......................#...#.........#..........#.......................##...............................#......#.....##........................#.....#.........#......#...................................#.#..........................#.#..........#....................#.#.......#..#..........#.........##................#.........#..............#........#.#.........#....................#............#......#.#...................#.#..#.......#.........##.....#.......#.....#........................#....#.##.................#..............#.#..........#......##..........#...#................#....................##........#.............................#..#..........#..................................#.............................#...#............................#............#....#....................................#.......#.....................#..##..............#..................#.#...................#...................#.##..#....#......
..........#.#....#........#..............##...#.#.#.....................#.#.....#.........#.#...........#...#......#..........#.##..........................#............#....#.................#.......###...................#..................#..............#.........#.#..#............#..................#.....................................#.............................#.............................#..#.......................................#.....##......#.#..............#.....###.......#..#.........................#..............##..........................#.##.............................#.#.#...#.....................................##..........#........#...#...........#.......#....#.#..............................#...#.#........##...#.....................#.#...........................#..#...#..................#...#...#...............#..#.##...#.###.#.................#......................#................#................#........
..............#....#.....#.......#......#..............................................#.....#..#...#..#....#................#..........#.........................#..........................#........................#...................#....#......................................##.....#.#..........................##.....................#.#...#....#.....................#...#.#.....#.....#............#......#..........................#...#.....#.......##....#....................#..........#...............#...#..........................#............#...#........#.............#........#....#.....#.....#.......................................#..#..........#...........................#.....#.....#.#........##...........#.....#....................##...#..........##..........................##..#.#...............................#...#.......#.....#......#................#..........#..................................#.......#.....#........#....
#.........................................##.##........#...#............#....#..............................#....#.#...#...............................#...........................#.................#....................#...............#...........#..#......#.....#.....#.....#........#.#.#.#.................#.##..#......##.................#..............#.......##...................##......#.#......#.......#..........#......................#...........#..................................#......#.....#......#.....................#.#................#................##.#...................................................##............#........#...........#....#..#..#..........#..#..........................#........##.............#...#..........#.........#.........#...#......#.#.....#..................#...........................#.........#...#...#................#....##....#....#........#..#......#........##...#.#..#..........#............
.#.#......#......................#.#.............#...........#....#......#................#..#....................#.....#.....#...............................#.#.#......#.......##....#......#..#......#.........#.......#................#............#.....#..........#....##..........##.......#..#......#....##..............#..............#......##..........#.#..#............#..........#....#..#.......#...............#.#..#................#.#...............#......#.........#...............................#....................#.#.....#.......#...........#.#................................#....#..#...........#...............#........#.........#.......#.#...##.........#.........#...................#............................#......#...#...#.......................#..............#.....#........#.......#..............................#...#.....#.......................#...#......#...........#...........#...#....#...#........#.....#............
....#.......##.....#........#...#..........##..##...........................#....##..........#....#...#.......................................##.....#..............##...#...#...............#......#.....................................#..........................#......#..#........#....#..............#.............#......#..#...........#.....#.....#...#..#.................#.#.#...#...#...............#.............#....#...........#...#....#.......#......#......#....................................................##..#..............#...##..#...#..............#..#..............................#.#.........#.#.........#.............#..................#...........#...#...........##....#.................#...#..............##.............................#................#.#..................#......#.....#.......##.......#....................#.....#.............................##.......#....#.#.............#...#.....#....#....#........#.....#.
.....#......#........#..##..#...................#.........#......#...###.........##.............#.............#..................#..#....#...#...................#................#.......##......#.......................#...#...............#........................#...#.....#.###.......##......#.........##.......#...#.....##.....................#....#..#...#..#....#............................#............#.....#........................#....#...............#....#......#.........#.#......#......##....##.#............................................................#.....................#..#...#.........#.................#.....#...................#...............................#................#.................##...................#..#.....................#...............#...#.........#....#....................................................#.#...................#.#............#.....#...........#........#..............#........#.......
........#............#........#...............................................#.....#.........#.....#.........#.......#.....................................#..##........#....#...................#.........#.....................................#.........##...............#......#.##.#.............................#.##...........#.......#..#.................#...#..#............#...#.......#....#..#...............#......#......#...#..#.......#..#.........#......#.#..#..............................#.#.....#..........#.##....#..##..#......#.#.#.......#.#.........#.....#.#.#.....................#......#.#.......#.............................#.#........#..................................#..##..#..........#............................#...................#.....................#............................#............#....#.......................#....#.......#......###.............................#.#........#........#.....#.............#........
#.................##.....#................................#........................#...#............................#........................#.........#.........#...##..#..#...##..#.........#................#.............#............#............#.................................#.#...........#...#..........#.##..#...........#....#............#.........#...#......#..#..#........................#...................#...#...........###.......#...............#..........................##.................#.............#...#.#....#.............#..................#...#...................#....................#.........#......................#.............................................#......................#.#.......................#..........#.............#.##..##.................#.....##...............#.....#..............................................#......#.........#....................#.......#...............#...#.....#.....#.....
.....#..................#.............#...#............#.......#....##................##..#...........##.....#........#...............................#................#...............##..#....##..........#....#.##.....#.#..........#...#......#.....##........#...#.....###.........##.......#..#...........##...................................................#.........#.............................##.....#................#......##..................##......#.....#.........................##.....#.##..........#............##.......#.....##.................#.........#...............##.........#.......#............#.#...............................##.....##.................#.................#..#......#..........#..............##.#..................#......#..#...........#.....................#.......................#.#...#............#..#.....#......#..................#.........#...#..#..........#........................................#..#..
....#.........#..#.................................................#......#...........#.#...#.............#......#........##........###..........#.........#..................#.#.............#........#.#.....#........#.........#.................#..........#.........#...........#....#..#....##................#.............#............##.##...........#.##...................#...........#...#..##...#..#............#...............#......#..........#....##..#..............................#...#.#..................#.#.......##...........#.........#...#.....#.#................................#......#........................#..#......................#......##.....................#............#..#...............#.......................................#...................................#......#.................#.#.#...............................#...............#......#.##.........#...#...........#......................#.....#....#............
...........#..........................#......................#.......#....#.#...............#........#.....#.........#..............#.........#..#..............#............#.#..........................#..................#.........#........#..#...#.......#............#..#.......#.................#....#........#................#........#.......#.........#.#...........#..........#.......#.#.........##.........#........#.....#.#..#.#...........................##....#...##.........#...........................#.....#......#................................#.#..................................##....##...#.....#........#...#...#....#.#......#....#......#..#............#..............................#.........#......#....#.......................#..#...#..#.............#............#..........#..#.##...................#............#.......#..................#...##.........................#..#...#..........#...........#.......#....#...#........
..#.#.....#..#.................#..#.................#............#.......#......#...#.........##...........#......#.........#........##...#...............#...##.#.#..........#..................#.............#.#..........................#..#............#....................#............#........#.##........................#..................#...........................................#.....#...#............#...#.#.#............................................#......#...................#...........................##.........................#..#........#......#..............#.#.................................#...............#.......#.......#...........#..............##..............#.............#..........#.............#..#...........#....#............#........#..........................#.................#.##.#....#.....#...#.............##.........#.......#....................#...............#...................#....#.#..........#...
.......#................#.......#......#...##.#......#.........................#...#...............#.#...................#....................#...............#..........#..............#.................#....#.#.........#..................#.#................#...#........#.#........#.....#.....#...............#...........#....##.#..#..................................#.............#.....#...#.....#...........#........#.......#........#.#.....#.#.....#............#................................#..#.......................................#...........................#........#...........#.......................................................#.###.......##.#................#.......#.....##....................#....................................#.............#......#....#........#......#....#.....#...................#..#................#....##..........#..#........#............#.................................#..........#..#............#
.......#..#.##....##..#..................................#.............#.......#......###...................#.#...........#...........................#.......#.............#...........#.......#..........#.......#............................#.#......#..#..#..#....#.......................##...........#.........#.....#................#...............#.#.....#.....##...#.#...#........#...................................#...........#...............................................#..............#......#.........#.................#...#...............##.................#..##.........#.....#..............................#.#..#.........#............#.....#.#.................##....#.............#.............#...#.......#...#............#.#..#..............#.#..#.................#....#...........#.........#................#..........#........#.............##......................#............................................#..#......#.#...#....
#....................#....................#.#......#.#.....#......#......................................#........................#........#..#..........#.......................#..............................#.................................#.........#.........#...#.................#........................#...#...#....#............................##...#........................##....#.##...............#.....#.................#..................#............#...##....#........#............#.......#..........#.....#..##....#........................................................................................#.............................#.........................#..........#............#..........#.....#..............#.....#..................##........##..........................#..#......#...#..................#..#............................#......#..#........#.........#..#...#.#..#....#.......#................................#..
..#.#.#.#...................................#...#........#.....##..#...........#......#.#......#..#................#.................#...#.......#........##.#...#......................#..#....#................................##..#........................#................#..#.....#........................#............#...#....#......##............#......#........#...#.#....#.......................#.....#.#.........#.....................#....#.......#.......#.......#......#...............................#.#.......#................#.....##....#.#..................#....#............................#.....#.........#..........#.#...............................#........#..........#....#.#..#......#......#..................#..#...#....................................#...#...............#..........#......................##..#..........#.#.............#................#..#....#..........................#........#.#...###....#..................
........#.#.............#.....................#...#...............#.....#.....................#....#.....#........#...............................#...#........#.#...#.#..........#..#...............#....#.............#..................#..........##....#.....................................#.#..................#...#...................#.#................#.#...#.....#....................#.......#.#.............................................#.#..................................#.....#..#...##..#...........#..#.##..............................#...#...#...........................#.....#......#.....#..#.......................#.....#.....#.....#...#.........#...........#..###...#..#.##...................................#..#...............#..........#.#..#.#.#....##.#........#.............##....#........#............#.......###....#......#.#..............#................................##................#...........#...##.......#....##.#..
.#...##................................#.#....##.....#.#.............#...............#.......#.#...#.#......#.#.#.........#...#..............#.#...#..#.....#.........#.#..................#...........#...#....#...#........#................#..........#..............................#........#.....##.................#.....................#.#.........#...........##......................##...#...........#.#........#................#..............#....##........#....#....#.#....#......#..#............#.................#............#....#..............................#....#.......#.......#.#.#...#..........#......#..............#...........#.#........#........#....#..............#..............#....................................#..................#.......#............................#.........#....#.#..#....................#...............##.........#....................................#.......#.....................#.......#.........#..#..
.........#................#...........#....#...#..........#.....#...#........#...##....#..#...#.....#.........#................#......#....#...........................#..............#......#.....#...............#.#.............#..#......#.................#.....#..##.........#.....#....#..................#........#.........................#...............#..........#....#..........................................#.##..............#...........#...#........#..#...#...........#.....#.......#..........#..#.....#.....................................#..........#........#.....#........#......................#...............#.#..#......#......#.#.##.................................................#.#..........#..##.....#.............#................#.........#.....#....#.....................#...#...............#.........#..#....#.......#.........#.........#.........#........#............#.##.................................#..#............#.
.....#.................................................#..#............#............#........#..#.......#..........................#......................#......##....#...#....#.#..#......#..........................................................##.......#...................#...........#........#.................................#....................#...............................#........#...#...#..........#..#...#............#................#...#.......##........#................................#........#.#.##........#.#.........#.........................#..........#......##.....#.........#.......#...#...........#..............#........##...........#........#.............#..#...........#...........................#.#...........#...........#.........##.......................................##..#..................#....#.........................#.........#.........#..#.##...#...##.#..............##.......#.....#.....#......#........
...........................#..#......#............#.....##........#.....#......#..........................#...#.......#.........#.......#..........#....#..........................#.#..................................#.................#...........................#...#.............#...#....................#.....#.#.......#...............#.#.......#...................#.........#...................#...............##..#.....#......................#.......#.........#..#........##...#.................##............#.#......#...................#..#.....#..#........#......#.........#....#...........#.....#........#.#.......##..#.......#.......#....#.....................##...............#.........#.......................###.##.............#...........#..#.........#.#................#....#...................##..#........................#.#.....................................#.......#.#...#............##.#.....#......#.....#...#................
..#.#..#......#..#.................#...........#..........#........#......................#.................#.##................#..##.#...#................#.##................................#...........#.......#.......##.....#..........#..#...#....#.#...#.......................#........#....#.....#.....#.....#...................#......#......##..............#.........#.....#.........#..............#......#............................#..........#...................#..#.#....#.........#.......#.......#...#.................#.......#.#...........#..................#..................##...........#.............#....#......##....#.................#.......#..##...........#.........#.....#.#.....#..........................................#..#........#.........#...................................................##.#..#..#..........#.#..........#..........................#.............#..............#..........#.....#........#................
.......#...#......#..........#....#.............#...............#............................................#.......#.##....##..##.............#...........#...#...........................#.#..........#.#..#.....#.........#.............................#...#........#......#...#.............#.......#.............#.....................#..............##.##..#............#...#........................#.....#............#.....##..#...#...............#.#.............#..........#................................#.......#..........#.#....#....................#.....#.#............#.......#...............#..#........#.......#........#.............................#.......#..#.#...................##...................##............#.#..........................#.......#...........#.......#..........###...........##...................#...#..........#......#.#....#...#......##...#..................#.......#...........#.................................
................#.#...........#.......................................#..#................#..............#...................#....#....#.......#..#......#..............#....#..................#.##....#..........#..#.............#............#...................#........#...........#.....#......#..#.#.............#...#..#......#........#........#..........##..#.......##............................#.......##..#.........#...............#...........................................#.....##...#...............#....##..#.......#......#.#..........#.......................#..#.......#...#...#.......#......................#....#........#...........###......#...............#....#..........#.....#.....##....#........#..............................#.......#.#....................#.................#...#....................#..#.............#........#...............#.#.#..#.......#......#.#...#............#.............#..##.........#.................
##...#..#.............#......#....#.#...............#..........#........#.................#...#.....#.......###...................#..............#............#.#..#..#.....#..........#...#...................#......#.............#.......#...................................#.......#...............#...........................#....................#.........#.....#...................#...............#.....#..#.##..#...................#....#.........................................#.......#...........#.#.............#........#.#.............................................#..........##................#....##.......#...........#.........................................#..............................................#.............................#.#........#......#...............##......#...#.........#...........#.....#.#..##......#................#..........................#................#...........................#.........#......#.......
..............#....#.#..........#.#...........#..........#........#.........#..#............#..............#....#.......#..........#.........##...................#........#.#.......#.........#....#.....#.....#.......................#..#...........#..........#...........#.............#.........#.............#.#.........#...................##....#...................#..###.#.......#.....#...........................#...........#.#.#.#.#..............#.....#.....#..............#......#.........................#........#.............#............#..................#....##..........#....#............................#..#.......................#...............#.##.........#......................#.....#.#......#.###.#................#....#..................#....................#......#...................................#...........#.................#....#....#....................................................#...........#.......##...........
............##......#..#......#.......#........#.....#............#.................#..#.#...................#...........#.........................#.............##..........#......#.....#......................................##...................................#.......#.......#...............#......#.#.................#...........##..............#..#.....#.........#.......#......................##....#.....................................##...................#........#.....#................#.#.....#.#..#........#.....#.....#...............................#.......#........#...................#.#................#.......................#...##....#....................#..................#........#.....#...........#.........#..........................................#........#.......#.....#.....................#........................................#............#.............#..................................##..#.#.........#...##.#...
.#...##...#.........#.#............#..........................#..................#...##...................#..#........................##......#........#.............#.........#....#.....................####.................#.....................#.#......##....................#.................#.....#............................#.#.....#...............#...................#.....#.......#.....#...........#.....................#......#.##.#......#.#..................#..#.............................#..#..#......#.........#.#........#...##.....##..........#...............#.......................................#....#.....#...#......................#.....................#......#.................#...#..........#.........###................#..#...........#..#..........................#....#.......#....#...#.............#.#.......#......#.......................................#.####........##.........#.................#.............#..#......
................................#...#....................#...................#...#..#............#..#...................#..#...#..........#....................#.#..#..........#.............#..#.........#.##..............#.........#........#............#.........#......................#...........#...........#....#.......#........#..#...............#..#..............................#.....#....................##....................#...................#...#......#...#........##....................#.........#............#.........##.......#......................#....#..........#..#....#....#.#........#...........#....................#...#....................##.....#....#...#....##..#.##..........#.#....#..................##.........#.....#.....#.##...........................#.#.#..#.......#.....#.........#....#.......#...........................................#.....#.......................#...##..........................................
.......#..............#........#...................#................#.............#............................................#......#.#........#.##......##...............#......#........#.#..#.#...#..#.......................................................#...##............##.#....#.....#.............................#..............................#.#..#..##.#...........................#.#...............#....#..................#.........#.#....#....#......................#......#......#........#...............#.............##.................#............#.#............#..........................................#...#.....#....................................#....................................#....#....#........................#.....#..................##..#.......#....#.............#.....#......#.....#.............#.................#....#.....#.#........#.........#....#..#....#.#.......#................#...#......#......#.#....##..
...........................#...........#....#.#...........#.........#....#.......#.........#................#....##..#....#..............#.........#.#.....#..............#....#..........#..#...#......................#......#....#..#........#..............#............#...#..#................#................#..................#...........................#.#........#.##.##.................#....#....#.............##....#..........................#....#.......#........#..#.#.......#...#...........#.............................#........#...........#................#..............#......................#.......#.#....#......#.#.....#.........#.....................#.............#.......#...........##...................#......#..............#....................#...#.........................#.........#..........##....................#........................#....................#........#..#.................##..#............................
#.............#........#..........##..........#.........#................................#..................##...##............................#........#....#.........#..#......#..........#...#....#....#.......#............#..........#...................................#....................................#.....#........#............#.........#.....##.#..................#.##....#................#......#...#...#.............##.#................#...#......#....#................#.............#....#....................#............#.............#...#.#.............#...#.#......................#..........#..........#..#..........#.#.....................#..........#.........##....#...................................#....#.#......##.......#..............#..........#.........................#.............................#....#.........#......#.....................#.#.....#.........#............#.....................#.......#............#....
....#..............#.....................#.....................##......#........#........#....#.....##..........#.......#...................#.#..#.........#......#..#.....#.........#...#.#.................................#.#....#......#...#..#....#..................#..#....#..#.#..#..#.....#..#......................##.......#....#...#............#.......#..##....................#.#..........#...................................#..#.......................#....................#..........#......................#.#...........#.....#...#................#..............#..........................#........#....#.#............#.....................#...#.............#..#......#.##..#.....#........#..................#.........#...#.........##........#.....#.#..........#...........#...............#................#.#..#.#.........#..........#................#......................#...............................#....#.....#.....................#.
..#.#.......#......#.......#.....#.............#.....#.............#.#......#.....#....#..............................##..#.................#.#...........#.##.........#...........#.....#.....#..............#.#............................#...........#.......................#.........#..............#...................##.......................#....#...#.#.#.........#.#......................#...#..................#....#...#..#.......#........#.............#...............##..........#......#....#....#............#...........#........................#.....##...........#...#..............#................#..........................#..#.........#.....#....#..........................#.....#...........#.............#.......................#......................................#......#.....#.....#........#.#................#..........#............................#..............#..#................#...........#..##.........................##.
..........#......#.....................................#.#.................#....#.................##...............#....................#......#............#.....#.....#........#....#......#............................#.....#................................................#.##.#.......##................#..#.....#.............#.....#............#.........#....#..................##.....#.............#..#..............#.............#........#.........#....#...........................#....#............#.....##.............#..............#...............#...............#..................#...................#..#..................#.......#....##....#....................#..#..........#.....#..##...............#........#.##......................#.........#................#..#......#.....................#..............#...#........................#.............................#....###...............................#...##.........#...........#
...#......#.........#............#....#...#........##........#......#............#................#...............#..#....................#..............#.............#.......#.#......#...................#....#..............................#.......#.......#..#.#............#....#.....#.....................#...#......................#....##..............#...........#........#.............#...#.#....#.........#....#.#......#...##....###.....#........#......#..........#.......#....................#....................#...........#...............#....#.......#......##........#.........#.....#.##...#........#.....................#...##..................................#.......#...........#............#.....#..#..#..........#.......#.................................#.......................#..........##....#..........#......................#.......##.......#..#..#..........................................................#.............#.....
........#...............#.....#.................#.......#..........#......................#......##..#.#.............#........#.........#.......#........#....#..........#.....................................##......................#...#...............#....#..###.........##.#.....#................#......#.....#..#.......................#.........#......#......#..........................#...................#..........#..#..................#.#..........#...................#..#................#.....#......................#.....#...............#..............#.........#.............#...##.#.......##..#...#......##.......................#......#..#.........................#.....#....###........................#.............#..##.................#........#..#.#..#...............#.#.........................#...#.................#...................#..........#...................#..................#............#................#......#....#..
....#........................#..........##....................#.....#.......................###..............................#......#..........##....................#.................................................................##........#..#...#.......#.##......##..#...............#.........#..........#............##.....#.......#..#.#....................##.........#....#.....#...#.................................#...........#............#....#....#..........................#............#.........#........#................#....#.......#.............#...........#....#...#..............#.......................#.................#...........#.#.....##................#.#.#.......#...###..........................#.##........#.#.............##...........#...........#................#..#..............##.............#..................................#....#................#....#.......#....#.........#..........#...##........#...........#.
..........#...........#..............#........#...............................#............................#......................................#......#..........#.#....#........#.......#.....#.#.....#.............#....................................#...#......#..#..#.....................#..............#.................#..........................................................#.#...#......#...........#........................#.#............#...#..#...................#..#.................#.................#.#..#....#.................................#.....#.....#...............#.#....................#..............#...............#............#......................#.##..#.......#...#....#......#...#..#.#.#.#.................#.....#..#......#................#..#......................#................................#......#.............#...........#.#.............#..................................###..............#..#..........#.
...................................#.#...........................................#.....#.....#..............#...................................#..................#............#.....................#....#.............##..#........#.............#.........#........#..........#.#................#..........#....#....................#.....#.......#.....#....#...............#...##..#.......................#..#..#..#............................#.##.....#..#......##........#.......#....#.............#.........#.........................#.#..#............#...........#..............................#...........................##..........................................#................#......#.......#..#........#.........#....#...........................................#.....#........#.........#......#.................................#.................#............#........##..........#..................#.......#.........................#...##.
....#..#..#.................#...#..#............................#.......##..........................#......#........................#...............#................#.................#..................#........#.........#.##............#........#...#.............#....##.....................##.................................................#.......#..............#.......................................#...#..........................#.............#...#...#.....................................#...........##.......#...#..................#........#...#............#...#.#.#..................#..............#....#.......#..............#............#..........#..#..###.#.#..#........##..........................#.............#................#...#............#.............#..........#....##.........#..#......###...........#..................#............................#.#...#..................#.#....#...........#..........#.......#.........
....#.......#..#.....#..........#....................#....#..#.....##..#.#........#...#.......#....##.#.....#......................................................#................#...................#....#....#........................#....................................#....................#.............#............#............#.##..........#.........#........#.....#.#..................................#.....#.#.........................................#........#...........................#.....#.............#...........#.#........#.....#...................#.....#.#.......#................................................#..........#......#.#.#........#..........#......#.#....#......#...........#.....#..#.#.#....#.#.......#.......#..........................#........#...#......#......................#.#............#.#.........#............#..#.#........#..................#......#.............................##....................#...
...#......##.#...........#.##............#..............#.#....#.....#..#.#.......#...#............#.#...#.........................##....##.#............##.......#...#.............................##..#..................#.......#.....#..#............................#.#............#........#..........#.....#.#.#............#.............#.#.#.............#........#...................##....................#..#...#......#.......#........................................#....#.#..............#.............#........#...................#..........#.......#.........#....#........#....#.#..................#....#..............#...............##........................#.............#.....#.......#........#.#.#..#......#...........................#.#....#...................#.....................#.......#.....#............#...#...#...................#.......#.#...#.........#........#.........#.................#....#......#...............#......#..
...............#...............#........##.....#.................#.#...............##...........#.................................##.............##....#.......##....#.#.....#....#.........#..........#..............................#..###........#..#.#........#........#...........................#............#.......##...#...#...#.......###..................#.................#......#.............#...#........................#................................#..#.....#.....................##......#......#..........#...........#......#.................#...................##....#.........#................#..#...#..................###................#.............#.......#..................#.......#......##.................#..#..................#........#....................#...........##....#....................#......#.........#.#.......#.......#....#..##....#........#.......#...........#................#...............#..................
....#......##...........#.......##........###.........#...#.#..............#................................#..#..........#.......##...#..............#............................#........#........................##.#..............##..#........#.#......#....#...#............#..#.#....#.#.....#.............#.....#........................#..................#........#...##............#.....................#............#.................................#.....#..#..............#....................#...#.....#..#............................#.............#........##...........#.....##....#...................#..#.##.........##...#..............#.........#...........#...#.##.....#.#....#.....#....................#...........#........#................#...#....................#............#........##......#...........#.#.................#.................#....#..................#.......#..........#............#.....#............................
##.#......#..........#.........#..#...............#.........................#.........#..#..............#.....#.....#..............#............#...........#.............#...........#.....#.......#......................................................................#..##.......#........#....##...............#..#............................#.##...#..........#...#...#....#...........#.##.........#.#..............#..#.#....#................#........#...........#...........................#......#.............#........#....#..................#.............................................#.....#..#..#................###.............#............................#.........#................#..........#.......#.#........#................#....#.........#.................................#...............#.....#.....#..........#...#.....#..............#....................#....#..........#..#..........#......#.........................#...#......
......#................#............#.........#...........#........#.#....#...........#...#...#......#..#...#...#.#........#....#......#.....#..................#.......#....#.......#............#........#.......###....................................................................................#...#............#..#....#...#.......#......#..............#......#....#..................#.##.......#...#.#..........#....#.........##.............#.............#...#.............#.....#..........#.#........#..........#.................##......................#....#............#......#.#..............##......#..#....................................................#..#............#..................#........#.............#..#.....#....#................................##......#................#...#..........#...........#...#..............#..................#........................##.......#.##..................#..............................
...........#................#...#.....#....................#........#........##...............#........#...#...........#.............#.............##...............#.....#.....................##..#................#.....##.#....................#.........#...........#....#....#......................#.......#....#........#...#...#................#....#.........#....................#.##..............................#..........#...................#.....#.......#..............#.....#.#..#..........#....#..........##.................#....#..#.....#..#..........#........#....#........#.................#........#..........#.#................#.........#..........#.....#........#.#........................#......................#...#...............................................#......................#.................#.#.....#......#.................##.#...........#.................#..........#.............#........#......................#....
...............#....#........#.............#..........#...............#.#........##...................#..........................#.....#..........#...............#..........................##.......##.....#......#.............................#..................#...#..........#..#.....................#..........#.......#.........#..................................#.##.......#...................#.#................#.............#.........#..........................#...............................#......#.........#.......#...................#.............................................................#.......#.........#...............#......#..........#....#......#...#.......................#..#.....#.....................#...................#.........................#.....#.....#..........###.......#....#..##.........#......#..............#......#...#............##.........................##.....#........................................
.......................#.....#.............#.........#.#..#.....#.........#...#.................................................#..............#.......#................#....#............#.......#...........#.........#..........##..................#..............#.....#..........#..........#..#.......#..............#...........#..#.....#...........................#......................................................#..#................#..........#..................#...##............#..............#.....#....#................##..............................#...............#...............#....#...#......#..................#......#.............................#..................#..#.......#............#.#......#.....##......#..#.........#......##....#.##.........#.......................#....................#..................#.............#..............#..#.................##..#....................#............#..............##.#.#.#
.......#......#........#.......#...#...............................#........#.....##.###........#....................#...............................#...............#..#.............#........#...........#.....#.................#.....#.....#....#.....#........#........#.................#.....#.#.........#.....#...#.....#..............#.......................#.............................#.........#....#..............#....#..................#.#....#.......##............##.#.............#..........#...........#...##.....#..........#..................#..............#..##..............#....#..#.........................#.............#....................#..............#..................#.......##........#......#..#....#............#..........#.........#.##.......#.....##..............#....##.......###....#..........................................#..................#............#...............#.....##................................#....
#..............#..........#.#.#..........##.................................#....#.....#.....#.....#......#..................#........................#................................#..........................##.........#.#.........#.............#..............#.....#.....#.#.#...................#......#......#.........#.........#...........#.........................#...#.....#..........#.#..................#.................#..........#...##..#..............##.........#....#...........#...........#........#.......#........................................................................#.#.......#.........................##....#.........#................#.........#.........#.....##..#...#...##.#..#.....#.......................#.........#........#.#........#...#................#............#.......#.........#.......................................#.........#......#................................#....#.##..........#..........#.#.....
.......#......#....#.........#......#...........#....#...................#.....#......................##.....#.....#....................................................#...............#........#...###...............#.........#...#...#..............#.#..#............#....#.......#.......#........#.........#...##.............##......#....#.......#.#...............#........#.#..............#......#...#....#.##..............#....#.###.#..#...#....................#...#.........##........#...#...............#...#....................#...................#....#............#...##..#..................#....#.....#......................#........#.....#...#....#.......#................#....##..................#..........#.....#..........#.................#..........#..........................#......#........##.....#.......................#...#.....##.#...............................#....#.......#....#......#............#......#.....##.............
.........#................#.....#.#......#..#........#..............#....#.........#...##.........................##.##.........................................#.....#.......................##..#...............##.#..#...............#........................#..........#..#.........#..##.#....#.......................................#.#.......#.#......#..........#.....................................#.......#...........................................#.................#.........##....#...........#...#..##.....#....##.............#............#........#..............................................#............##.....................#...#..............#.......#.#.........##.#.............##................#..##.............#.....##.......#..#....#...............#........#...............................#.##................#.#..................#.......#.#......................#............#.............#............#....##......#..........
...............#........................#.#................#..............#.#..............#....#.......................................#....#.......#.....#................................#............#..................................#..........#.........#.................#.......#.#.....#...##........#....#.#..........#..#..........#.............##.#........#.#............#...#......................#...........##......#...............#...................................#.##...........#.....#.......#........#................#......#........###....#.......................#..#..#......#.....#.............#.........#...........#.#......................................................#...........................#............#...............#................#.......#....................#....##..........#..........#..#....#................#..............................#.#...#......#...........#..#..................#...............#.....
.........#.#.............#...#..........#...#....#..........................#...............#...#...........#.#...................#...............#..........#...#................................#.....#.........#......#........#...........#...............#......#....###...........................#.............##..................##..#......#....#....#............#................#....................#........##...........##......................................#..............#......##.............#...............#............#.#........#.....................#.........................#..#..#...........##...#.........#......#..........#.#....#.................#.........#.......#.....#.............#.....#....#...#...#.#..................#..........................#.#.#............#........#.#...#..##............#........................................#............#....#.....................#.............#.................#.#...#..#.....
.........#.........#..............#................#.....##..............#.......#........#......#............#........#........#................#...#........#........#..........................#....#.....#.............#.....#..........................#...##...#.........#.......#.....#.........................##.........#.#.........#.................#.........#............#................#.#..#....#...........#..#.......#.#....##........................#..............#.........#....#..........#..#.......#.......#.............#..............................#..............##...........#.........#....................................................#............##...#..#.....#.....................#.................................###..##...#..........................#...................................................#.#.......#...#..............#......#...............#....#..........#..................#.....#.#..................#.#....
.......#................##..........................#...........##................................#..........#.#.##.........#.....#......#..#......#.......#.........#.........#........#...#......#................#.....#.#...................#.........#.#.................................................#........................#...............#................#.......#......#...#.....#....................................................#.....#.....................#....#.#.........#............#.#.....#............................................#........#.................#..#......................#...................#.#..#....#........#.........#..#.................#.#.................#...#..............................#.................#...............#............................#..#............#.................................#....#..........#...................#...#.......#.......................#......................#.......#...
......##.....#....##.......#..#.............#.................#.......................##..#..........#.....##.............#...##..........#..#....#.#..##...##....#...................#..........#..#......#.#........#..........##..#...#............................#....#....#........#.#.#...#......#....#.#..#..#...##..........#.#.....#.#..#.................................#...##...........#...........................#...........#............#..............#....#....#.......#..#.....................#...#...#...#.#........#..#.........#........#..#...#.................#..........#............................#.#...........#.....#........#.............#........................#....#.................................................#.........##..#....#..............#.............................#....................#........#..........#..#...........#..................#...#..............................................#.###............#......
.#..#..............#...#.......................#........#....................#.#..#..#........#.....#...........#............#.......#......#......#..........#....#..........#....#.......#...#..................##......#........................##.............#............................#.......#..............#........#.....#..#....#..........#..#...#............#.................#....#....................#........#...............#..#.........#......#...............................#........#.#...##..#.#...............#.......#...............................#.................................#.#.#.#.#....................#.........#....................#.........#..#..#.#............#.................#.............#..#..#.#.#........#...#...#......#.....#....#......##..#..#.................#..#............#......#......................#..#.........#....#............................#...##...#.#.....#..#..............#.....#..#..........#.#
.....#.#...#.............#..................#.#...#.......................................#..............#..#........#.............#.....................#..........#......#.............#............#......................#...................##..##.#..#....#.........#....#............#........#......#..................#........#..............#.................#...............#..#...#..#......#..#..#..#.#.....#.....................#..#.....##.........#..#.........#....................#..............##...#..#...............#..........#.......#...#..#............#.#.....##..#...........................................#................#...........#.....#...#...#...........................#........................#........#....#..........................#..........#.....##..#.........#..#............#..............#....#................#...............#..................................##.........#.#......#...#.......................#...#.
...##...#..#.....#....#......................#.#....#.#...........#....#.....................#..#.....#...........#....#.......#......##....#..#...............#..........#............#........#..................#.....#....................#...................................#.................#......#..........................#............#.................#...#...#...#.#............##.......#..#...#.#......#......#................................................#.....#............#............................#..................#.....................#.#..................................#..............#..##.##.........#...........#............#.............#.#...#.............#..................................................#.........................##..............#..................................##..#...#....................................#.................#............#........#....##...........#............................#...#
......#..#.......#..........#.......................#...............##...................##..............................#..#.#.#......#...#...........#.........#.#........#.#....#.......#........#......#.........#....#................#.........#....#.#...#...#....#..........................#.............#.............#......#...................................#.##......#...#.....#.......#.....#..........#.....#.....#...#..............##.....#..#.......#................#.##.....................##.....##.............#.##..#........#..........#......#..............#..#................#.........................#..................#............#.#.#...##.#................##.......#......................................#............#....#...........#.......#............#.#.....#.............#....#.....................#..#...#........#.....#................#....#..........#.....#..#......................#..#....#.............#..............
........#....................#..............#......#....#.......#.#.........#.......#..#............#..#.......#.#.##.................#.....#....#...................#.#.......##....#...#........#.......#...#.#..........#......#......#..........#......#.....##................................#....#..............#.................................#.......#....#..............#...#....#....#..........#...........#.........#................................#...................#......#...............#...................##...............###.........................#..............................#....#.....##............#.........#..#....#........................#.............##.#........................................#.#.........................................#...#...#............##......#..#....#......#......#..#..#......#...........#..................#..........#...................#...........#.........#...............#..#.................
.....................#................................................#..#.......#.........#...............#..................##..........#..............................#...#...............#..........#....#.........##.......#.............................#...................#.........#....................#..#.............................#..............#..............#........................#.#.....##.........#...........................##..#......#.#.............#........#.........................#..............#....#...#............#......................#....#...........#...................................#..............#................#.........................#...#........#.#.........................#................................#.....................#................#......#........#.........#.........#............................................#.........................#.....#.#......#............##.....#................##
.......#........#..#...#.............................#...................................#...........#...#.........#..........#.....#.#.#......#..............#.#....###.#..............................###................#..#..#..#................................#.......#..#...#......##....#...#..........##..................##.................#......#...#......................#..........#.....#...........................#.....#......#...#..#....#...................#.....................#....#..........................#.............................#.#.......#....#..........#.................#..........#......#......#..................#..#..#.....#.....#............#.......#.......#....................#..............#......#.............#....##...#..........#.........#..##....#....#.....#.#..................#.........##......#.............#..#.#.#..#..............#..#........#..#....#.......#................#.....#........#...........#..
###.#............................#..............#.................##....#....#..................................#............#.#......#...#.......#..........#...................#.#....#...#......##..#.........##..#.......#...............#......................................#....#.................#..........#......#.#.#.........#..#.#.#............#......#.....#..............#.............#.#..........#.............#....#........#........#.#.#....##..#........#....#...#..............#...............#....#...........#....#.....#....#.........................#.#........#...#.#.................................#............#............#....#............##................#...............#...............#.........#......#...............#.................#........#......#...##....##..........#.................#..#..#....#..............#.#..#.#.............#..#.........#.........................##................#.....#.#..#...#....#..#.##
....#...........####.#...........#...#.....#......#...................##.............................................................#......................#.#.#...............................................#................#......#...............#.#.......#..............#...#.#......#...#.....#...#........#........#....................##.......#..............#..#...............#.#..#.#........................#.#...#..#....#.........................................#.#.#.........................#...#.#.................#...........#.##..#..........#.#..............#....#...........................#............................#.#......................#.....#.........#........#..#...............#.......#...............#.......#......................#.........#..........#..............#.#........##.....#.#..........##.................#...............................#.##.................#......#.....##...#....................#........#...
.....................###...#........#.#..........##...#..#...........#.....................#...................#..#..#.#.#........##..........#............#...............#.......##.....#.................#..................................#....##.......#...#..#...#.......#.......#..#.#....###.#.........#..##........#.......#.............##.........#................#..........##..................#............#.....................#...#...#........#..........................#.#..#..........#.....#..#................#......#..............#..#.......#.................##.........#...............#.......#.#..#................#....#...#......#........##........................#...##...#...##.#.................#........#........#...............#..#..........#....#..............#...............#......................#.................................#...............#....#.........................#.........................#.................#..
.....................#..##....#..............#.......#......#...#....#......#........#....#.....#........#..........#.#........#............#.....#.......#.......#.....................#..............###...........#...#....#..#....#.......#............#........................#.###.#...........................#.#....................#....#......#......#......................#..#..#................................#..............#...#...#...............................#.#.#.............#..#...#.............#......#......#.........................##.#.....#...........#......#........#.....#..............................##.........#........................#....#.....................................................#..#............................#....#..........#........#....#.........................................#............#..........#....#.#..........#.#.........#........#.#...#........#.##......#..........................#......##..
......#....#...................#.#....#.................................#............................................#...............##.................#.......#...#....#..#......#..#.......#......#...........................................#..#..............#.....#............................#.....................#...#......#.......#...............#............#...#......#..........#...........#.#.#......#............#....................##.#..................#........#...............#......#.......#.......#..#....................#.#...#.....#................#...#..#....#................#....#......#..............#..#.................#......#...............................#...#.....................#..#.....#..#....#....#.........................#.........#..#.......................#...........#..#..........#.............#..#.....#.#.#.........#......#......................#.........#..#.............................#.#.............##
............................#...............................#.#.....#..........#...#.................#......#..#...#.#..................#.....#...#...............................#..#.......#..#..............#....#.......##...##.#............#.....#.......................#.......##.......#...............................##.....................#.............#...............##..#.#......##.....................................................#.........................................#.#.........#.....#..#.......#..................#....#...........................#..........#......................##..........................#...................#........................................................#....#.......##....#........#....#........#.......................#..##...#....................#..........#.......#...#.#...........................................#......#................................#.....#....##........#.......#..........
#.#......#.........#..##............#........#.....#............................................#..............#..................#.#.............#.#.......#..............#.........................................#...#......#.......#......#......................#.....#...........................#..............#...........#...#...#..#......##.........................#.....#.........#....#.#...............#......#...................#.................#............###....................#....#....#....................................#..............................#..........#..................#..#..#...........#..........#...............#.................#.........#....................#..........#..#.#.......#..............#.......##....#.#.....#........................#................#...#.#....#......#.........#..........##.....##.........##.....#...........#.#.............................##.#...##.........#.#.................#.##.#..
...........#....#................#....................##......................#..#.........#.....#.....#....#...............##.....#..#....................#.....................#........#..............#.......#....................................#....................................#.........#..........#.........#..#....#................#......#.#.....................................#.....#..#..##..#....##...............#................##.....#.#...................#........#..#............#....#........#.....#......#..##.........#...#........#..##.......#..............#............#.......#.#...##................#..............#......#..#.................#.#........#...#...#.......##........#..........#....#............#..........#....#......#..#...#.........................#.........#..........#......#..#....................#..#............#.#..............#.#....#........#........#........#...#.........................#........#..
....#...#.....................#......#....#.......##....#.#....#.#...........................#..................#................#.......#..................................#..........#..#...#....#......................................#............................................##.#.#...#.....#...............#...............#......#.........#......#.........#.#...........#......................#.....#..#....................#...............#..................#....#....#..........#......................#....#..#.....................................................#.#......................#........#......#.....................................##............................#...........................#........#......................#......#...........#.........#..........#.....#......#..#...........#.......#......#...#...#.......#.#.#...........#.#....#....#......................#.#............#..#.#..............#........................
....................#.........#.......#.......#....#..#.............#.......#........#..#...................................#..#.......#...#...............#....#......#..#...........#..............#........##...........#.#..#...........#..#.......#..................#...#...........#.#.........................................##......#...#....##..............#...............##.#.#...#..........#..#...##.....##.........#......#............#.........#....#..............#......#...#...................#........#...........#.#...#.........#...#........#....#........##..........................#.................................#....#................##........##.....................#...#...#........#..#..............#....#........#.#.................#.........#.......#...................#...........#.........#.............#...#........#...................#.....................#...................................#............#.......#.........
.....#....#.........#.......#................................#........#......##...........##....#....#.......#.....#...#..................#..........#..........................#.............#...................................................#.#...........##...........#.##.........#.......#..........##..#.#.........#...#..##.......#..#.............#.....#..............................#..#........................#......#.......................................#......................#.............................#..............#.....##...#...#......#....#.........#.........................#............#.............#.............#.#.....#......................#....#...............#...#.#....#......##.#....#.......#...............#.......#..#..............#......#.#......#...........#...#................................#....#..............#..#.#...#.............#....#................#.....................#..#..#...............#.........#
....................#....#.............................#...................#..........#.#..#...........................#..#....##...#........#....#..#....#..................#....................#........#..............#......#........#.......................................#.............#.....#.....................#...........#..................#.....#.#...#.......#........................#...#...#.........#......#.#...#.......#.#.............#..................#..#...................#....#......#.#...........#......#...#............#.............#........##.................#..#...............#...........##............#............#....#............##........#.#.................#....................#..#..#......................#.#..#...........#.........#..................................#..............#..#.##.......#...#..................#.............#.....#..........................#.#............................#...###........#..
..#.#.........#....#...............#............................................................#.....#.....#...#..........#.......................##............#.......#...........#....................................#.......#.#.....#.........#...#.......#...........#..#..#...............#..........................#.#..#.................................#.#.......#.........#...#....#..#.##.............................#..#...#...............#.................................................#..............................#................#.........#................#....#...#......#............#......#.............#........#........#.....#........................#.......#.......................#..#........#..........#....#..............................##.#......#.......##..###....#.................#..#..#.........#.#...............#...#.....................#..#.....#..#.....#.#..#.#....##.......##....#..##..#...#......#.................
..............#.............#.#..........#.....#..#.....#........#..........#..............##...............#.......................#....#..#....#...#.............................#.......#.............##..#..#...................#....#.................#........................#....................#..............#....#..#..#.............#............................................#................#.............#.#..............#...#...................#...#........#.....#........#..................#....#............#...................#...................#..........#...........#.................#.............................##........#.........#.......................#.....#........#...#....#.#......#..#...........#.........#............#..#...#..........#....................#..........#..#......................#......................#..#..#..........#.#....#..............#...#.#..#...#...............#....#.........#.........#.........
.#.............#.......................................................#.....#..#....#..#.#..#.......#.#..............................#...............#..#....#....#.........#.............#..........#...#.........##...##..#...................#......#.....................#..............#...........#.#..#...#...........#.........................#........#............#.#.#......##........................#..#..###...#.......................#.......#......##.##......................................#...#........................#...##..............#.#............###...#...#.................................#............................#................#..........................#...........#......#..............#.#....#.....##....#..............#.....#...........#............#.....#.#...........................#....#.......#.......#......#....#..#.......................#.........##....................#....#..................##...#............
#.............##....#................#.................#...........#.#.......................................###............#.#....#....................#...#..#.....................#.##......#...............................#..#.......#.........#......#................#.#...........................#......#.......#..##..#.....#..................#...........##.#...........##..............#.........#....................................#....#.......#.................#.....##.#.##.....#......#........................................#.#.......##..#..............#...#...#.#.#.................#........#....#....#.##.......#....#................#.....#....#....#.#.........#.....#..#........................##.........#...............#...#....................##.......................................#........#.......#..#.#....#......#..............##......##..#.....#.#...#................#.....#.....#........#....#....................#...........
...#.....#..#.#.....##............#.....................#..........#...#..........#.....#........#......#...............#......................#......#...................................#..............#..#....................##....#......................#..#...#...............#........#................................................#...........#................#........................#.##..........#..............#...........#.......#........#.#.....................#.#.#..................#...............#..................#......#.##...................................#..#.......#.......#..#.............#......#...#...#...........#.#...#.............#...........#......#..#..#..............##...#....#.......#..........#.....##.................#.#.....#..........#...........#.#..........#....#...##......#..#..#...............#..##..#.......#...................#.....##.#.#..#.............#..........................#..#......#......#....
......#....#..........................#.....##.............#.#............#............#.................#.#..#..........................................#............#...........#....#...#...............#....#................................#...#...........#.......#......#......#.......##.........................#...............#................#........................#..........#.#.#........#.#...#.....#.....#.#.#..#.....#.###.......#....#............#..#............................#..........##...#............#...........#...................#........#...#....#.#........#..................#.....#..............##.....#....#...#..#....................................#.......#.............#.#...........................................................#......#.............#...#........................#.............#.#......#.........#.........#.#.........#............................................#...#................####..........#.#
.......................#....#..............#..#..#..............#............###..............#.......#...#.#.......#......##.##..#......#..#....................#.............#.......##........#.......................##..............#.............#.....................................#..........#.........#...............#..#...........................#.........##....#..............#...#.....#...................#.....#...#.......##...........................#........................#.#.#......#.........##..........#.................#..#....#.....................#.#...................#.#.......#.#.....#............................#...........#...#.....#......#...................#.....#.......#.........................#.......................#...#........#.....................#.............#......#........#....#......#.......#......................#................................#..........................................#....#........
..#........#............................................................#...#.........................##........#.#......#.##.............#.#........#.................................#.............#..#.....#....#................#...........................#.#.#..#..#..............#....................#.............#......#............#............#................#.................#.........................#...........#.........................#...........................#....#.......#.............#.......#..........#.##...............#..............#.....#.#................#................##.......................#.......#...........#.#.........#.........#..................#....#....#........................##.........#.#.........#.....#..................#...#..............#....##................#......#...............#............#....##.....................#............##....................#......#.............#...##............
............#...........#.......#....................#....#......................................#.#.....................#..............#......................#..........#....................................#..........#..##..................#..............#................#..........#...........##..................................#...........#.#..........#...............................#...#...........................#..#.........#.........#...#...........#..#.................#............#.....................#....................#.......#.........#..................#.........#.................##..............................#...............#....##...#.................#...........#...........###..#.....#.#..#.##.........#.......................#.......#.#..........................#..........#....................#.........#.............#...#......................#.................................#.........#...........##..#...........
............#..#.......#................#.#...#...#........#......#.............#.....#.............#.......#.....#...............#............##..................................#........................#........................#................................#....#..........#..........#.....................#.....#.................#.................#...........#..........#...............#.#.....#....#...........................#...#.....#...#..............##........#.....................................#.....#....#..#...............#.....................#...#..#.#...............#.....................#..........#.......................#.....#.#...................#.....#...#...#....................#............#....##.........#..#...#............#..##...............................#........#......##.#........#................................##..#........#..........#..#.#........#...#............#.##..........#...#.......#............
#........#.................#...............#......#..#..............#........#.#.#......#.....................#............#..#........#.#....###.........#....#.......................................#.....#..........##.#......#..#..###...........................#...........................#..................#..##....#.###........#..#.......#......#.............#......#.......#......##..#..................##..............#...........#.#.................#...................#..........#.#....................#.................##..#....#...........#................#...........#..#...........#......#................................#......#........#...........#......##...#.....................#..................................................#.......................#....#......#...#....#..#....#............#...#...........#........................#.#.........#.....#......##...............#......#.........................#..........#..#....
.....#.................#.#..#.......#...#................#........#.#.......................#........#...#..........#....#...........#.#...........##............#.......##....................#......................#.#....#....................#..........#......#.#..........#...#.................#.....#.....#....#...........#......#................#...#.....#..........#.#.....#........#.......#....#................#.....#.#....#..##.......#..#.....#.......#.........#......................#................#........#...#....#...........................##...............#...................##.........................#......#.#......#...................#...#.......#........#........#..........................................................#....#....#........#..#........#.....#......##.................#....##....#...........##........................#............###....................#........................#........##.#.........#...##...
....#................................#.........#.............................#........#...#...#......#...#.....#....#.......................................................................................................#.#...................#.#....#....#.#.................#...#.#.........#.........#.#..#.............##.................#.......#............#.......#....#......#.....##.............................#....#...#.............................#.....................................##......#.................#.##.........#...................#..............#.#.#...............#........................#..........#..........#......#........#....#....#.........#......................................................#.................#.#..##..#...................#.#...................................#..........#.#....................##....#.....#...#...........#.............#......#..............#..................#....#.....#........
.....#..#....#.#........###..............#.#.........................#..........#.....##.#.#..............#...............#..........##............#............#....................................#................................#........#...........#................................#..#.............#......................#.#.......#....................#.......#.........#........#....#.....#.................................................##................#.....#.......................................#...#....#..#..#...#........#................#....##....##....#..#..............#......................................#...##.........#..................#...................................#..#....##.#..........................................#.#....#......##...............#..#............................#.............#...........#....##.....................#..###....................#......................................##..#...#......
...............#..............#..................#..#...#......#........................#............#...............#...................#............#....#....................#...#.........#.................#.........#...#....................................#.........#....................................#..............#................#...........#..#................#.....#.....#........#................#......#...........#.......#......#......................#............#...#.......#........#..................#............#...##..........#.#..#.......#.......................#..........#.#..........##........#............##...........#......#...#.....##.........#.................#........#.....#.............#...##...............................#..........................#.#..............#.....##............#....#..#...#...##....#.........#..#...............................................#........#........#...#.....................
.##.##........#.#.................................#...................#.#............#.......#.....#..#................................##...................#...#..#..#..#........#.##....................................................#..................#............................#......#.................#..........#.#...........#.#....#.#...#.#..#....#.....................................#..............#.#...........................#....#..........#........#.......#....#..#....................#...#......#...#........#..............................###............#....................#.....#........#......#..##....#............#..#....#...............................#......#...#..............##...............#.................................#......................#...#..#............##.....###..............#........#...#.....#...............#..#........#..............##...#.......##..............#................................#...
#..............##.#.............##.............#....#..#........#....#.................#..#..#......................#.#.........#.#..#....................#.....#..............##..#....#.........#........#.................#..................#........#.........................#...................#.......#..#........#....#.....#.............#......#.........#...................#.......#............#....#...........#.......#..#...................#..............#..............#.#......#......................#.#.#.#..........#.....#.............#..#............#......................................###....#...........#.................#...#..........#........#....#...........#............#.....#....#.............#..............................#.#............#....##....#..#.#.....#...............#...#.............#.#..........#......#..............#.....##................#....#.......#....#.................#...........#.#.......#....#......
..........#...#....................#............#.....#.........#...#.................#................................#....#.....#...............####..............#...###.......#...#.............#............###........#.....#..#.......#...........#...........##..#.#..#.............#.....#..............##.....##.#.....#.#....#........#.....#.#.#.......................#....#.....#.....#........#....#.......#...............#..#......##.......................................#........#..............#...##.#......#...#....................#..##..................#...............#...#......#................#...........#.........#.#...#.........#........................................#......................#....#..........##..........................#....#......................#.......#........###..................#.................#..............#........#..#..........#.....#..#.......#..........#...#.........#........##......#.........#.#
............#..#.#.#............#......#...............................##.........................#...........#............#...#...............#......#.......................#..................#.........................#......................#........#..#.##...#....#....................#....#............................................#.......#..###........#...........#...#.#...#.......#......................................#........#............#.#.....#..#..#..................#.................#.#.............#...................#.........#.................#..................#.......#...........#.#.......#.#..#.....#.........#.........................#.............................................#..#...........###.....................................................#.......#.........#...#..##.........##.......................................#......#...........................#......#......##...#.........#..........#........#.......
.#..........#...#.....................................#.........#....................#......................#........#.......#...........................#....#.....#...............#......................#.........#................##...............................#............#..................#..............#........#.....................#.....##....#.........#......#...............#.......#..........##.....#.......#....#...............##................#...........................#.......................##..........#.#.....#....................#.....#.......#........................#...........#.....#......#................#...#...#..................#..#.#...#...#....#..#..........................#.#...#...#........#................#...#.....##......................#.....................#..#..#.............#......#....#..#.....#.........#.............................................#..#..................................#...........
....##....................#...#.......##...............#........#.....#.......#........#.#.....................................#......#.##......#................##.............#...........#....#..#...........#.#............#.........#..#...........#...................#...........######.#...........#.......##......##.#....#...............#...........#.......................................#........#.....#.........#....##..###....#............#........#......#.#....#.................#.............#................#.....#....#.......#...................#...#.....................................#.........#...##..#..#....#.....#....................#..#................................#.#..............#..............................#.............#...............#............#......#..............##........#..............#..#......#.....#..#.......#............#.................#...#.##.....#..................#..#..#........................#
..#..#.........#.....#..........#....#.#.............#.........###.#.....#.........#.........#........#.......................#....#.#.#....##...........#......##.#......................#......#....#.................................................#.............#.............#.................#..#..........#...##...#................#.#..#...............#.........#...........#....................#...##.#.............#..##........#......#..........#....#......#......##...........##..........#...................................#.#...............#............#........................#...#......#.........#.....#......................#..........#........#............#.....#...............#...#............#.#.#..#..#.....#...................##............#...#........#....#.................................#.#......#............................#.............#...###.#...............................#...#.................#.......#...........#..
................#........#.#........#.....................................#..#.#...#.............#.#..............##....................................#....#.#..#...........#.....#.....#................##............#......#....#...............#.......................#.....#.#...............#.#...#...................#...........#...................###.#............#..#........#...#..#...................#.................#..#..#........#.......#.............#......#..#.#.....#.................................................#..#.........................#.............#........#..#.........#...................................................#..........#.#..........##....#.......#.....#..........#..###..#...#........#.#....##.#..................#.#......#............#.....................##...#......#....................#...........#....#.....#.........#............#..#........#.........................#................#...#............
............................##.....#......#...........#......................#.....##..#...........#...#...........#.....#.....#.........#..#.......................#..................##........................#.#........#.....##............#.#...............#............#......#....................#......#...................................#....#.....#..#.....#..###.................................#..#.#...............#..#......................................#.#...............#................#......................................................#..........#...............#...............................#......................#.....................##..#..........#...#.......#..#..........#.........#............#.............#.............................#.........#..............................#.............#...................##...........#.#....#.........#.....##.....#..#.##.......#..##.#......................#............#......
....#.......................#.#.....................#...#..#........#.......#.............................................................#.................#.............#.#...............................#............................#.....#...........#...........##.#.....#.....##.#......#............#....................#....#...........#...............#...........#...#..#.#............................................#..#......#........#........#..........#...................................#.........................#..............#..........#.....##.#....#.................#...................#..........#..#...........................................#..................#.....#...#....#.......##..........#.........#.............#......#.................#...............#....#.....#.#..#..........#.#.......#..#......#.......#............#............#............#..##.....#.................##.............##....#..##..............#.......
#.#.............#......................................#.#...#.................#.#...#........................................#.................#.##.....#........#.............................#...........#........#....#..#..............#.#..............#........................#....#............................#...........#...................#.....#.........#........#.........#.......#.#....#.................#............##......#.............#..#....#.......#........#...#.........##.......#..#...#.....#...................................#..............#......##..#.......#........#......................#............#.....#.............#............#...............................................#.............................#....#...#..........#..............#............#....#................#..#.....#..............................................................#......................................#.........#......#.....#...#....
#.......#.......#.#.....................#..............#.##.....................##.......#...........................#....#...........##...#...........#.........#..#...................#....#.......#.........#...........#.........#........#..........#................#.....#..#.................................#..................................#.....#.#..............#....##....................#........#..#.#..........##................#.............#.........................#..............#...##.....#.#..#...##..........#....#.....#.....#..##............#..#.....#...#...#.......................#.#....#............................................................#.#..................#..........#........#........##.....#......#.......#..........#............#......#......#.....#..................#....#...#.......#.............#.............#.#............#...#..........#.....#......#.............................#........................#.
.#.......#.....#......#...#........#...........#........#............#...................................#............#..#....#.##....#.....................##................................#........##..........#.#.....................#..............#............#...#..............#..#...............................#........#.........#....#......#.........#..............#...................#..#........#....#.......#..#.....#.#...........##...............#..................#.#........#......#.....##...................#..........#....##..................#.....#....##..............................................................#...#..................#..##...........#..................#.....#.#....#.........#...................#...........##.......................#....#.........#............#....................................#...#...#..........#..#...........#................................#.....................#.................#..#
................#....................#..........................#..##......#.#........#..#.#..............#...................................................#.........##.............#..#..........................#..........................#......#.........#......................#.......#.....#...........#................#..................#.........................##....#...#....#.........#...........#.#.#......#...#.#....................#.................................................#.........#......#.......#...#..##............##.......#..............#.........#...#...#...#...............##................#.........#...........#......#.....#.....#.....................#...........................##...............#..............#...............................#.#...................#................................#.................#..................................#............#...........###....................#..#.............
...#....#..................##........##.........#.........#...............#.........#.......................................#........##...#...#............##.#.................#.......#.......#.#..................#........#.....#...#........#......#.......#..#...#......#................#................................#.............#..#....#......#......#..............#.......##..#.#.......#.......#..#........#....#.......#....#..............................#.......................#........#...........#....#....#................................##.......##.....#.................#.......#..........................#..........#.....#...........#...........................#.#.##..........#...#.##.....#...............#....#.........##..............................#.....#.........#................#.............#......#.#............#...#........................#.............#................#.....................#...........................
........##.#.......#...............#...............#.........................#................................#.#...#.........##..#............#..#......................#...............#...#....##.##....#.#..#.............##.......#.##..#..#..........#...........#...........##....#.#....#.#....##...........#.........................#............#...#..#..........#..................................................................................#.............#.#........#........#......#........#..........##.......#..............................#.......................#................#.#...................#..#.....#......#......#....##...................#..#...#.#....#..##................................###.......#................#...............#.#.#.....................#................................#.....#.............................#.#...#.#.....#.......#.#...........#.........##.......#....#......#.#..#....#...#.........#..#..
.#............#...#...#....#....................#.............#.#.#......................................#...#.......##.............#....#........#.#..#...#.....#.......#.##...............#.............#........#....##..............#..........#....................#..#..........#..#.#........#.#..................#....##...#....##.....##.......#.....................#.#............##........#.........#.#.......#.........##...##.......#..#......#.....................#..#...#........#.....#..............#..#.....#.............#....#..........#......#...................#..................................#..#..#........#.##.........#............#.........#.#...#.............###..............................#.................#...........#....#.#.#.........##..............#.##.....#....#...........##...#...#...........................#..........#......#.........#.........................#....#....#..............................#..............
#........................#.........#...#..........#...........#........#......##.#.#..........#......###....#....#...................#.....#......#.......#.#......#............#..##.....#........#.....#..#....#.....#.#....................#...#...............#...................................#.#....................##.................#......#..#..##...#..............#.........#.....##....##..........................#...........#...............#...........#...#...................##..........#......#...#...........#...........#.............##...........#....#.......#...#.............#...#.#..#..##.....#.......#...............##..#.......................#............#............#......................#.............#....#.......#............##...#...............#.....#.........#.......#.#.....#.#.#...........................#.....#......#.#........#..................#.....#......#.....###..........................#..............#.....##
..#...#...............#......#.#.......#.#..................#......#........#...........#............#..##..........#...................#....#......#........##.....................#..........................#.#....#................#...........#.........#.......................#.....#.......#.#.......#.#....#........#.#........#...#....#.#....#.............#.......#............................#..#.........#.....#............#...............##..............#..........#....#..........##.......#...........###.#..............#..........#.............#......#......#.........#......#....#....#.....#..................#..........#.......#..#...........#..#....#........#..#...#..........................#.#.....#......#......#...#...................#.............#.#.......##............##............#.#...#................#..............#..................#.......................#..........#.....#.......#....#......................#............
#....#...#..##......#...#.......................#........##..........#.....#.......#..#.............##.#......#...#.......#................#......#....#......#...........................#.............#...........#......#........##...............#...........#.........##..#.......##..........................#......#.............#..................................#.............................#.#...................................................#..#......##..#.......#...#..#.......................#.#.....#............#.#..........#....#..#.#...........#..................#............#.....................................................#........#.............#....#.......#........#.#....#........#...#......#....#.....#...................................##...........#.....#....##.....##.#.......................#...#.......##...#..........##.#..#...#.#..#.....#....................................#.#.#...........#...#...#................#
..........#....#........................#..............#.........................#......#.....#.................................#..................##..#.............##...#.#.......#...#.....#.#......##............#..#...............#.#....#.#......#......#......................#..........#.........#.......................................#.#...#.#.........#....#........#............................................#....#.........#........#......#.................#.................#.................#...............#....#......#.........#...........#..#...............#........#......#...#..........#.....#..........#..............#.....#..........................#.#................#......#.......#........#.....#........#.#............#...........#.........................#.#..#..#...#....#.#.....#.................#...#...............#...............##.........###...#..#.#..............#..........#.........#.............#..................
............#...#............#..................#.#......#....#.......................#.............#...........##..#........#...................................##............................#.................................##....#...................................#....#..................#.......#..#.................................#.....................#.....#..#................#.....#....................#.#.................#.#.....#...........................#........##.#....#...#..........###..#.............................#.........#.#..#......#...#..#......#...............#...............#..#...............#.#......#.......#...........##...........#............#................#....#...#...#.##..#.......#..............#....#...###....#........#.............#..........#.#..............#...................#....................#.#.......................#.......#....#...........................##......#...#......#.................
...............##..#.#...........#.....................#..............#....#............#...............#....................#..........##...............#..................#...........#.........#.................#.........#.....#...#.........#............##........#....................#.................#.......#.........................#................##..................#..#.##.#....#.........................#.......#...........#.....#......#...##....#.................#.....#........#..........................#..............#..........##.......................#.................#...................##....#...#..............#.....#.....##..#..#...#............#..#....#..##.#.......#.............##............#....#..#............#..........#...................#......#....#.#..##.#..##......#..........................#............#.......#....##.............#.#..............................#.....##....#....................#............
..#..#.......................#.#....#................#....#.#..............#.......#......#.......#.##.......#...........#...##..........##........#.....#.#........#............#..........#.......##................#...............#......#.#......#.#.............#............#..................#.............#...............#............#.#.....#........#....#.#....#............................#...#..........#.........#.....................................................................#..#.#.....#...#.#.#..............................#.#....#.#.............#.#.........................#..............#.......#.#...#..................................#......#......#.......#.............#.#..........#..............#........................#................#.#..........#.............#.............#............#....#...#................#.........#.#...........#................#...................#..............#...............#..........#..
...........#......#.......#..#............#...............#.#..................#.....#..#...................#.........#...#............###...................................#...................................#.#...........#.##.#.#.........#.#...............#..#....#....#........................#.....#............#..............#..........#..#...#.....#..#.......................#...........##.....................#....................................#.....#...............#...........#....................................#...#........................#.....................##...........#................#........................#..................#.............................#.................................#................#...#...........##..#.#......#..#..............#...#..#....##..............#..#...................#.#.........#........#......#..............................##.........#..................#.#.......#........#..........
................#.....................#..................................................##.........................................#.#................#..........##.#..#..................#.#.........#......#.....................##...........#..........................#....................#.............##..#..........#......#...#..#......#.........................#.........#.#...........#.................#..#.....#.........................#.......................#................................###.................#...#..........#......#...##...#.................#.#........#..........#..##......#...#......................#...........#..#........##.........................#.....#.............#........#.............#....................#.......................#........##................#..............................#.................#........#....##.........#....#............................#..............#................#............
......#..........#...............#.#............................#..#..#......#........................#......##..........#..................#.####............##...#............#....................###..##.....#..........#....#...##..........#......#...#..........#.#.......#.......#.#..............................#.............##...#............#......#.#.#................#......#.......................................#.#..........#......#.......#..................#...........................#..#........#...#...#.........#.....##....#...#.#.........#..#.#.#..........#............#...................#.#............#.#...............................#..#......................................#.....#...#.#................#...........#.........#........................#...........#.........#......#...............#............#................#.................................#.....#......#.#..................#......................#...#....
.................#.....#.......................#..........................#..............#....#.............#....................#.#..#.........#..............#..#.......#......#...#.....#...........#...#...........#...........#..........#...#....#...#..#.......#................#.................#........#......#.#...#....#.............#.#.....#..............#..#.....#.......................#...........#....................#.................#.......#........#............#................................................#......................................................#..........#...#............#.............#....#....................................#.....#.#.......#...#.....#...#..............#......#.................#..................#..#.....................................#................##....#....#..........#...............#.....#.................#.#.................#......#......................#..............#.....#.##
.....##.......#..........#......#..#..........#................#......#....#....#.................#.........#.........................#.#..#...................#............##................#...........#.............#.#.........#.##...#...................#..............................#.#...#....#..................................#..##............#....#...............................................#..#.......#.....#.............#.....#..........#................#..#.............#..##...........................#...#.#.#.....#..............#.#................#........................#.#................##...#..........................#.....#..................................................................#............................#.........#...........................#.......................#..............................................#.......#...#...#..............#....#.........#..#..#............#...#..#.............#.#.......
...........................#.............#...#.......#.....................#...#...........#.................#..........#...............#.......#.............................................#.#......................................#....................................#.#........................#....##...............#...........#..#.#..#.........#....#.#.......#..#.......#...........##.#..........#.....................#...............#.#..............#.....#.#......#..#........#................###...............#...........#............#.....#.............................##....#.....#.#....................#...........#..#..#......#......#...#........#........#..#...............................#.....................................#...............#....#......#..............#........#...#.#...#.#........#...#....#...............#..#...............#........#..#...............#.....##.#.......#................#.............#..............
##.#..#...........##............#....#...#.#......#.#......#.#.........#....#..#.#....#....#.........#........#........#..#..............#.....#....#.....................#.........#..#..................#..#......#.............#............#................#..#..................................###............#.....#.........##................#..........#...#..#....#.........#.#.#.#.#...................#...............#...##....#......##....##...........#..............#.....#..#.....#...#..................#...#.......##......#...#......#........#...................#..#................#.#........#...................#............#..#..................#.............#.....##..........###...#........#...#....#...#...#..#...#...........................#......#..#..#................#.##..#....................#................#..#.#.............#........................##...........................#...#....#.............#.#.........#.....#..#.
...#................#.#..........#.........#.................#.#.....#.....................#...................................................##....................#.......##.#......#........#.#.#..#..............................##......#.....................#.....#...........#..#......#.........#.............#.............#..........#..........##.#.............................................##.........#....#.#.....................##...#............##...........#.#...........#...#...........#...#.........#.................#.........#......#...............#................#...........#..........................................#..#...............................#..........................##.#................#....#....#.....#.......#.............#...#....#.........##..........................##..............##................#...........#...#........#..#..#...................................#..........................##..........#....
.#..#..............#..........................#...#............#...............................#......##....#.#...#.............##...#.................#................#..#...........................##........#................#.........#......#.....#.................###.........................#...#......#..##...#.........#................#...........#.............#.......#..#..#...........#.....#.#....#............#................#..........#...#.....#..#...............................##...............#..#........#.....................#.....#........................#.#....#.........#......................#......#............#........................#.....#......#....#......#..............#.#..#.....#..##.......#...........#....##.....................................#...##..#..#..........#...............#..#..............................................#..........#.................................#.......#........................#..
..#............#.......#..........................#..........##............#...#...........#.................#......##.......##.....##.......#.....##...#............................#..#.........#....#........#...#.......#....................#.........#............#......#....................#.#................................#......##.....#.........................................#.#..........##....#.....................#...............#...#........#.........##...............................#..........................##........#.................#..#............#............#....#.......##.........................#.......#......#..................#......#.....#..##...#.....#..................#.#..........#.......#.......#..##......#........#..#..........##.#........#..........#...#.....##.#....#...........#......#...##.......#.....##..#........#....#...#......#...#...........................##..........##.....#......#....#.#..........
...#...............#....#....#.#......#.....#...........#..........#........###...........#..#...##...........#.#...##......#.......#..#.....#..........................#...#.....#....#.........#.........#...........#.............#...#..........#..#..#.........................................#..#.........#.#....#...........................#..................#..........................................#........#....#..........#....#......#..#.........#....#..........#......#.........#....##.......................#........#..#........#....#...#..#............#.#..........#............#......#....#...##..............#.#........#.....#.#..............#..........#..........#...................................#..................#...#........................#...........#......#.#..#.........................##........#....#...#..#...................#......#....................#....................#...#.##...........#...............#...........
.......#......#............#.#......................#.....#..............................................##........................#..#..............#.....##......#...............#..#................#....#................#..........#.#......#.............#.......#..#......................##........##................#.....#....#..............................#...........#...#.........#.......#...........................##........#............................#..##...##.......................#.......#..#.........#..........#....#.#..#................................#.#...#....#.##..#........#..................#.................................#........#...#........................##........#..........#.#............#..#..#..#.....................#........#..................................#.........#.............................#.#........#.......#.#...#..............#...........#.............#.........................................#..
.........................#.#...........................##..........#...........#..#.............#..........#........................#.........##.........#.....#............#........................................##..#.....##.......#.............#........................#.#.......#.............#...............................#.................#..#....#.................#..#...................##..#..##..#.........#......#.............................#.#...........................#.#...............#....#.............................#....#................#..#.....#........#................................................#.........................#..........#...................................#...#...#..#...#..........................................................##........#...#..............#.##.......................#......#.........#.....#.........................#..............................#.#....##.#...#.#....#............##....
.#................#..........#.#.......##........#..................#.....##........#.......#.................#..#...#...............#.#........................#.........#..#.....................................#.....................#.....#....#...........##....#........................#....#.....##....#..............#.........#.......#..#...........................................#.....................#...............#..........#....##................#........................#........#.................#....................#.......................................#.....#.......#....#.......#..................#................................#.......#....#.................#..#...#........#.......##.....##............#....#.......................................#.......#.#.....#...#.......#..............#........#.....#.....#........#.....#...............##...............#...#......#...#.........#....###..............#.......#..........
............#...#..#....##.........................#..#..................#...#.....##.....##.#..#..............#..............#....#..#..............#...........#...........#.......###.................................................................#...#....................#..............#..#..#..............#.......................................................#..................#............................#..............##.....#.......................#.................#.........#.#....#.............#.....#...............#.............##.......#......#.#...#............#...........#..#........#..........#...#......#.#.#.........#..................##.#........................#...................#..#........#..................#........................#..#.....#.....#..............#..........#........................#...........#.....#.......#..........#...#........#......####.....##....#........#....#...............###.............
...##........#....#...............#......#......#.............#............#........#..........#.....#...........................#..........#........#.................#.....................#.....#.......#......###............................#.............................#...........#.#.....#........................#...#.#...................#.............#.........................#..#.......##.....................#..................#......#....#...............#.......##.##...........#................................##.......................#..........#.#........................#.........##..#.......#.................................#...........#..#.........#.................#..............#................#.....#............................#.....#....#..................#...#..#....#...#.....##............#........#......#.....##........#........#........#...#.......................#......................#..............#...............
.........##..............#.##...#...........#....###..#......................#...............................#...............#.#........##..#.........#............................................#......................#.................#.#...................#.#.......##.......#...............................##............#........................#.#................................#...........#................#........................#......#.#...#........#.......................#........#....................................#...#........................#......................................##.............#.........#...#................#..........##...#.............#......#....##.......#..#..........................#..#.......#.#......#..#...#.##..#...#.........................................#..................#..#.......#........#......#.................#...#...#......#...........##...#...###............#......#.......#.............
.................................#...........................#............#...#......#...........#.................#.#........#.#...#.........#.................#........#...#......#..............##........................#.........#.........#.....#..............#.............#....#....#..............................#...................................................##..............................................#.....#....................#.............#.##............#.........#....#......#...........##......#.................................................#.#....................#........#....#...#.#.........#.........#....................#...##.#.#...#..#...........#...........................#...................#...#..........................#.............#........#............#..#....#...#.....#...#........................##.......#..........#..........................#.....#.......#...........#..#....#......#.....#..#.........
..#.........#....#.................#.##.................#...................#..............#...........................#.....#.....##..#...#..........#.........#.........................#....#......#.......##.........#....#.............................#...##...................#..................#.........#..#..............##.......................#....#.#.....................#..................................#..##..##.........................................#..#.....#..#.....#.......#...#............#....#...........................#..#............##..........#...........#....#....#.#...........#...........#.#.....#.............#.......................................#..........#...............#.........#...............#........#.......#........#.#........#.............................#.....#.#....#.........#........#.#......#.........##................................#....#............#........................................#.....
...................#.........#.#................#...#...#.#....#........#......#..#.........#.........#.............#......................#.#........#.....#.................................#................##.........#...................#.........#.......#..........#.........#.##............................##....#..#................#.....................##.........#.#.#..........##....#.#...........#.................#......#................#....#...........#..............#...#...#..#.................#.....##.#.#.................................#..................#............##...........##.##...#.#.#.............#...............................#.......#.#.#.....#................................#.....#..........................#.#...............#............##.#......#....#..#.........#....#......#....................#.......#....#....#...............#.....#...#...............#..#......................#...#.###.....................#
#..........................#.#.........#.#..................#.....#.................#........#............#...................#..........................#.......#.......#............#........##..........................#...#.#....#......#...................#............#...#...............#....#.......................#..................#....#........#.#..#..#......#.........##.........#....#.................................................#....................#......#..............................#..............#......#............#............#.............................................#.....#..#......................#..........#.....................................................#.............#........#........................#.#............#...#.........#..............................#......#.#........#.......#......................#.#.........#.........###...............#.....#......#........#......#.....##...................#
#.............#.......................#..................#.#.............#.................#..#...#.###................................##...#...#.............#......#........#..#...#.#.#...#..........#......#.#.....................#...#.......#.................#....#...##............#...........##.....................................................#...........................#......#....#......#...............................#.#..............................#.##..........................#....#...#....#..................................#...#........#..........#.........#...........#.......##...............#....#..#..............#.....#......#.....................#..........#.......#......#....#....#..............................#.............#.....#............#..................#....#............#..##.......##.....#..........#..#....#.............................#.#.#......#................#.#...........#.........................#..
.....#...............#........##.#...........#......#...#.......#.#..............#............#........#......................#.#.................#.......#...#..........#......#.......#........#...........###..#.....#.................##.......#.#................#.#.......#...##.....#...#.......#...........#...#...#....#..........#..............#.#..........#.........#..............#....#....#.....#...#......#..................#.......#...#.............#.............................#..#.......#...............................................#..........#....................................................#.#................#..............#...................#.......#...#...#.....#..#.............................#........................#...#............#......#........#...#.........#...#....#................#....##....#...#........#.#..#...............#.#........#..........##......#.....#..#.......#....................##......#...#.....
.#....#....#...............#.#....#..#...#.....#.........#.....##................#......................#.........#............................#.........#.#......#................##........#..............#.................................##.......#................................#.......#..................#...#...........................................##.........###.......#...#.........#...#....................................#........................#..#.....#..........#.........#.......#................................#...#.................#..........#....#...#.............#.......#...#..###............................#..........#.........................#......#................#................#.............#.................##.........#....#...#.....................#..................##..............................#.........##..........##...................#....#.....#...#.................#.....#...#....#....................#..
.#.....#.#..........................................................#..#...........#..........#.#.....#...........##..#....#.....................#.........#..#..#.........................#......#.#..#.............#................###..#.........#.......#......#..........#...#...........#........#...........#........#......#....................#............#.##...##.#.....................#..............................#....#....................#....#.......#..#...#...................#...#........#....##....#...#.............#..............#...###......#...........#...................#................#......#.......#...........#...............#.#...#...........................#.........#...#..#.#.#.##....#..#.#.#...........#.......#..#.........##....#..........#.........#.#......#.................#.#...#.......................#...........##...#......#..#.............#..#....#......#....................#......##.#.......................
.............#.......#....#.......#.................##....#.#.........###.....................#.....#....#.............###..#.........#..........#.................#...................#.....#.....#..........##....................##......##.......#...........#...#....#...#.....#....................................#...............#...................#.........#.........#..........##.......#.#.......#........#...............#....#..#.#.................#................#.........#....#....#...............#.......#........#............#.......###......#.#.........#.......#.......#..#..........#............#.#......#....#.......................#.##......................#.....#..........................................#.........#.#..............#..............#................#.............................#.#................#...#.##.......#........#........#.....#...............#....#....#............#....#.......................#...........
...............................................###...............#..#....#...#................#.##..........#..#..#..........#.#............#.......#...#....#.#.............#....................#...............#...............##....#.........#....#.....#...#....#.#...#....................#....#...#.......#............#.............................#.............#...........#.##......................#.....................#................#..............#......#.....#.#.......#.#.#..#...................#......#....#............#......#....#..#...............................#............................#........................................................##.......#.................#.................#.....#...............##.......#...##...........#...#...........#...#......................#......##................#..#.#.................#...#......#..........#......#............#................#.......#..............#............#....
.................#..............#........#..#..................#...................#....#.................................................#..................#.#.........#....##...##....#..............###........................#............................................#.......................#.................#.......#...#......##..........#.........................#......#............##.#........#..#......#......................#......#......................#.........#........#....#...#......................#....................#...#.#.#...#................................#.....#...........#.........................#...#....................#........#.........#......#..........#.......#....#..#.....##.#........#..#...........#...#........................#.#.....#.....#.##..#.#........#.....#..........#..........#..#.......#...#......#.......#...#......#....#...........#..#............#..#...#...........................#...........
......#.#....#......#..#....................#....#.............#..........#..................................#.......#...#..............#.....#.....#..##..#...........#.....##.......#.....#..#..##........#...#.....#.............#......#.......#.#.......#....................#.#..............#...#.##.#................#.....................##......#..#..............#...............#.........#............##....#....................#.........#..............#..........#......#................#..........#.....................#..#....#...................#...............#......#.....#...#.......#.....#..........#.......#..#.................#..#........#....#..........##............##..##.........#.......#.....#.#.....#.................#.........##.#...##.................#..#............#.........#.#...................#..................#..#................#..............#...#.......#..#.#..........#.....##....#..#........#....#...#..........#
.........#....#...#........#...#............#..........................#..#.....#...#......................#......................#..........#......#....#.....................#.....#....#...........#..#..............................#...........#....#.........#.#...........##.#...................................................................#......#.#..........#..................#....#..#................#.......................##............#....#........#.........##..........#.#...#..#...................#..................#.....#................................##..#................#...##...........#......##...........##.#....#..##...........#...#.#........................................#.............#.....#..#...#..................#.....#..#.......#.#.#..#...............#.....#......#.#....#.............................#...#...#.#................#...#...#...#..........#............#...............#.......#...........#.............
.........................#...#..#......#...#........................#.......#...#...#.##.................#......#.....#.........#......#...........#.......#.#...#.#............#.....##..#.......#.#.........#........#..............................#..................................#....#.........#.............##......#....#.#.#......#..................#.....#.........#................#....#...#..................#...............#........................................#.#............##.....#..........#..##.........#....#..#.......#.....................#.......................#....#.................#.#..............#..............................#.....#........#..............#..................#...........#....#..................#..###.##.#.#.......#..#.#..............#.....#.........#.......#..#....................#.............#...##.....#.........................#..#......#...#.......#....#.......#....................#....#..........
......................#..##...#.............................#...............#..###.#.#............................................................#......##..............#........#...........#..........#.........##................................#.................#.........#.#...#..#...................#.......#.........#......#.......................#...#.................#.........#.#..........#......#..#................#...#......##............#.........#.......#...........#.#...#...........#.....#.....#............#.#....#...........#...........##......##...........#........##...............#...##..#...#............................##......#..................#...............#....#...#..................#........#....................#...........#..............#.....................#.....#.......#.......#.#...............................#..............#............#....#.........................................#.........#..........#....
..#.........................#....#................##.....##...#..#.......#.........#...##......#.......#..#...#.#..#.................................#.##.........#.........#........#....#.#....................#......#.............#.................#.........#..........#..........#..........................#.......................#.......................#.......#......................................#...............#..............#..............#......#.#..#....#...#.........#.............................##.....#.............#...#.........#.............#......................................#........................#..#............##.#.##..............#.......#..................#...............#......#.......#.......#..#...............#..............#..#.........##.#...............##...........................................................#............##.........................#...###....#............#......#...#....#..............
..#.........##......#.........#.........#.........#..................#.......#........#....#....#.........................#.#..............#...#.........#..................................#..#......#......#...#..#..........#.......#.......#.#.........#......#.......##.....##..............#...##.....#..............#...............................##....#..........#.....................#........#.............#..................#..........#...........#...#........#...........#.....#.#..#.#....#..#......##........#.....#....#..#.#......#................#.........#..#..#.......#.........#......#.#.##.....#.#..........#.#...#......#.....###...#.......#...#.#....................#.#...............................#....#..........#...#........#..............#.#.......##..#................................#..................#.....#........#..#.........#........#......#..............#..#..#....#.#.................#.....................#...........
..#.....###.#.....................#............#..#.........#............###.#....#............#.#.................#....................#....#...................#.....#...............#..##...............#......#............................##....................#...............##.............#.....##..#...........#.....#........#...........#.....#..........##...........##.................................#......#..............#.....#........#..#..........#.......#.#.......#.#...#................#..............................#.....#........#....#...........#........#.#.....##..................#.......#.........#.................#.#.......#...##.#....#..##...........##.#......#............#...#......#..............#........#..#.#...........#..#..##..............#..........#........#.##...#.............#.##...................................#.....#..........#.......#.....#......#...................#.......#......#..................#.....
.....................#.#....................#...................#..............................#..#.........................#.....................#.............#.......#........#......#....#.#...............#............##......#....................................#........#..#.#..#..#........#.##...........#.....#..........#.............#.......#................#.......................#...#.....................#........#...........#....#.#................................#........##.....##................#.......#.........#...........................##..#...........#......#.......#......#..........................#........#.............#....#.....#.........#..#..#...#....................................###.....#......#................#.....................#......#......#...............#......#.#............................#...........#...#.....#....#...................#...#.............##.............#........#........#.......#......
....#........#.#....#.................##...#....#....#.......................#...........................#.................#...................#...#...#...............................#.................#...........#...#........#.........................#.......#...#...........#..........................#......#..#............#.....#....#.#..#..............................#.............#....#.........#...........#...#..#.#............#....#.......#...................#...........#..#...#............#......#.#.#...............................#....#...................................#......#...#.........................................#..#.#...#...#..............#.......#.....#.......##..........................##...##...#.............#..#.........#....#..........#..#............#................#.#.........................#.......#.....................#..#...............#..#................#.#..........##.#..........#..........##......#.
..........#.............#........#........##..........#.##..............................#............................#............#......#...............#.........#........#...#...........#.............#..............#.....#.............................#........#.......#...#.....#.#........##.........#.#.....#....#........#...#........#...#....................#........#.......#.#............................#........#.............#....#.....#.........#.........#...........#...................#...#..#.........#.........##....................#.....#..........#......###......................#.....................#.....#........................#..........#......#................................#............##.................##...#...#.......................#............#.##.....................##...........#....##........#........................#...........#.#.#........#....#.....#...............###.....#..#........#.........#......#...
........................#....#...............#............#........#...........#..........#...........#...##.#..##.................#....#..#.......#..#..............#........#..........#...........#.......................#...........#.......#..#............##.#......#.....................................#....#................#.......##...#..#.#.......#...............##..##.....#....#.............#.........#.........#....##..................................................#.......##........#..#.......#..#......#......................#....#..............................#...#............................#.....#..........##.......#......#..........#.....#.....................##.#..#........#................#.#........#.#.....................##.#..#.................##............#.....#......##..............#................#...................#....#.....#....#...#.#.......#.#...................#.............###............#.#..#......#...
....#.....#......#.......#........#..#........#.#.............#...#.....#..#..#.........#........#.#........#.........................#.........#....#...##........#.....#.....##......#........#..........#..#......#.......#..................#...#....#...............#......#.....#.....#.................................#...........#....#...#...................#..##..#..........#...#.#.#............#..#..............##...#.......................#.............................#..#.#........#..........#......##...#..........................#.........#.....#...........#......#...........#........#....#.#............#..................##..................#......#.#...#....#...............#.......#......................#...............#......#......#.#.........#.......#.....#......#................###.............................#...................#........#.......#.........#..........#.##...........#..........................................
...........#.....#..................##..............##........#..#.................#...#..............#....#.........##................#.......................#.....#....#............#......#........##..#..#....#.........#.......#..#....#.......#.....#......#......#.......#.....#..............#.........#....#.......#..#..................#.........##..........#.#..#....#......#..........#.................#.......................#............##......#.....................#....#..#...............#........#.............##...#..........#.........#...#...#........#...........#.............#...................#.#.............##.......#..#........#.....#.........#.......#............#.......##.......#......#......#....#...................................................#....#.#..................##...#.#..............#......#.#..#...#..........#.#........#............#...............#....#...........................................#..........
......................##..................#...#...................#..........#...#...#.........#.......................#..............#.#................##.#...............#...#...........................#..............#....##......#...........##.#...##......................#.#...............#.......##..........#.#......#..#....#......##.........................#.....#.#.......#.....#..................#..#....#.............................#.#................##...............................#..............#.........#.#....#..#.##....##...#..#....................#......#.#...#.....#.#...........................#...#..#.....................##..#............#................................#.#........#..#.......#..#.##...........#.....#..........#.................#.......#.......##.........##........#......#..#...................................#..........#.........#.#...............................#............#..#....................#.
......................#.......#.#......................#.....................#........#...#.#.#.....#.......#..................#..#....#...........#................#.............#.##.#...#...#............................#......#..............#......................................#.........................#..#......#..#.........#.....................#.................###............#......#......#.........#......##....#.........#.......##..........#...........#.......#..................#..........#.#..........#...#.#.............#....##.#....#.........##..............................#........#....##.............#........#..#...............#..#.......#....................#.##....................#......##..........#.........#...............#...#..#................#..#..#...#.....#............#........#..............................##..................#.............#..#........#.........##.............##..#......#....#.....#............
..#.#.#............#..#....................................#........#..#....#..................#..............#.............#..#...#............#......#....#..#....#.........#..#..............#...........#......##..............................#.#.........................#....#..............#...#.............#.#.......#..##.......#..#......#....#......................#...#........#....#.....#.#.....#.#............#...#.............#.....#..#.....................#.........................#....##.......................#................................................##..#...#...#.........#....##.#..#....#.............#....#..............#.#..##.##.........#.....#...##.......................#.........#....................#............#.......#...###..............................#...#..................##...........#.......#.....#......#....#...........#......#...#................#.................#.#....#........#...#.....#...............
.#............#....#..#............#........................#.....##............................#............#..#..........#.............#...............................................#...................#........#......#......#......#........................#................................................................#.......................................................#....................#.#...............#......#.........#........#.......#......#....#.......#..............#.#..#............#............#.##......#...........#............#...#..........#..#...#..........#.............#..###...#...............................#..................#.....#.#........#.#....................#........................................#..#....#...##........##....#....................#....#.........#..#.................###...................#....................##..............#.....##....#........#.......................#....#.........
.............#....................#...#............#...#.#.......#..........#................#...#..........#.....#.......#......#....#.................#.........#......#...........#..#...........#..#...............#..#......#..............#...............##.........#.........#...........#.......#...#..........##............#...#......#..........#.....##.#..........#........#....#...#....#......................................#...........#.....##...........#................................#.........................#................#............#.#..##...................#....##.........#....#..#............#.....#.......#.......#.........#...#..........#..#.#.............................#.........#......##....#.........#....#...........##........#..#..........................##...............................................#........................#...........#..#.......#..#.#...........#.#...#.#........................#....#........#
##......................#............##.#.....#.......#...........#..##.........................#.......#...#.......#..#...........................................#.............#.................#........................#........#......#........................#...............##...................#........#................#...........##...................................#..........#..............#..........................###..#.....#..##.#.............#...#...............#.....#..............#..#...............#....#.........................#.....#.....#..............##............#...................................................#.#.................#..........#..#....#...#............##.....#........#.........#..........#.........................#...........#..........................#.............#.......#.##.......#...#.....#.................#.....#...........#..#..............#..#................#...#.....#...#...#..##.......#
.##............#............................#......#.....#.#..#...................................#...............#...........#...........#....#.....#..........#..............#.#....##.........#........#.......................#.................................#........#.....#....#..........#......#..#....##.##...#...#....................................#.....................#..................................#...#....#....#............#......#.........#............#.....#...................#.....#.........#.......#..#..#.......#............##........#..#.....#........#.......#..........#......#...........................#..........................................................#.........#...........#....#...#............#............#........#..............................#.#............#..#.#...#....#.................#........#....#..#...#........##...........#.......##........#.......................#.....#..............#.#.......
#........#..........##.#..........#..#................#...................#.............#.##...............................#.......#...#.#..#....#.....#....#.##.#....##..........#.....#.#.#........................#.............#.........##....#.....#....#.......................................#...............................#.............#................#.......#.........#...#....#..#......#.........#.#.........#.#.........#.................#.#..................#..#...........#................#......#..#..........#....................................#.........#...................#.#.......#.....................#...........#....................##.......#.#........#..................#.....##.##.....#.............#.#.........#..#...............#.......#..................#..#.#..#...#.....................#..................##...................#..#........#........#.....#...........###..........#..................##.......#...#......#..
.#...............#..#.......#.##...............#.........#.......#...........#............#....#........................###....#....#.......##...............#.....#......................#.......................#....................#.#......#.#...........#..........#.................##.......................#....................##.............#...#...................#............#.........................#......#...#...#.......#....##.......#........#...#...#.#..##.........#...............................#.............................#...........#..........#..............#....#..#...##.#.......#.......#...#.........#.#......##.....#..##......#.....#..#...#.#..#..............................#...#...#..#....#................##.................#..#..#....#.......#.......#..........#................................##............................#...#..............#.........#............#.....#........#...................#......#....#...#..
......#..#...........#......#...............#.....#..#.....#..........#.....#..............##..............#..............#.........#...#..............##....#......#.......................#..#.##...................###..........................#............#........#............#...........#.#..#....#......#..#........................#......#..........................................#......###.............#..................#..#.........................#...............#.........#.....#.#......##....................##.#...........#..........................#............#.....#.#.........#....................#...#.................##.........#..#..#...................#.............#...#.#.#...........##...................#...............#...............#............#.....#..........#....#.....#.............#.........#...........#...#.............#.....#......#..#.............................................#.....#............#....#......
..#....#........#.#......#...#........#.....................#..............#..................#......#.......................#............#....#..................#..........#.......#...#.......#.......#.............#......#......................#........#............................#.#..#..##.....................#........#...#.......................#.....#.....#.............#.....#..................##.........#........#....#..##.....#.....................#.#.#.........................................................#............#........#.......##.#...................#........................................................#.........#................#......#............#.#..............#........................#.#......#..........#...................#.#........................#....#..............#...............#..............#...............#..................#........................................#................................
.................................#.....#.........#.......#........#.#......#.........#...........#.......................................#.#...........#........#..........................................#.........#..............#.#...##..........#.#.......#.......#.#..............#.........#..##....................#.............#.##.............................#......#................#.....................#......#.......#..#...............#.#.......................................#.#.......#...##..#......#....#....#.#.............#.......................#...........#......#.............................#....#....................#..................#..#..........................#...#....#........##.#................................#.....#..#..#....................#........#.#..............................#...................#..............###.....#...#......#.............#............#...................##.................#.#...#.......
............#..........#...........#.....#........#....#.#.##..........#.#......##.#.......#.........#..........#.......#......#..#...........#..........#.................#.#..........#.....#.........................#........#.#.....#.......#........#.............#...#............#.#.............##....#..............#.........#.......#....#.#.................#.........#...................................................#..#.......#.#.#.....#....#.....#.......#..#.....#............................#.###..............#..#......#........#.##..........#....................................................#.............#........#.........#............#..#..#....##...............#.....#....#..............#.....#.........#........#.....#....#..............#...#......##..........#.........#.#.#...............................##..##..#.....#.......................#..........#.......#.........#....#..#............#...#....#......#............#...
.......#.....................................#..........##....#..#.......#........#..#.............#..............##...#.......#..........#......#.............#..........#......##.###..........#..............#.#...........#..............................#.....#.................##.....#.......#....#..........#........#..................###...#........#....#................#.#.#......#..........#...#....#.#........#.........#........#..#........#....#.#........#...............#..................#......#................#........#......#.#.....#...........#.#........#..#.................##.#.#.....#.....#.#..#........#.#....#....#....#.#.........#................#..........##.....#.....#.............#.#.....#.....#.#.......................#...............#...................##.........#..........##......................#....................#..#....#...#...........##.......................#...#.......##..#...##...................##.....#..
.....#.........#.#........#..#..........#...............#..........##.......#............#......#..#.........#....#.............................#....#..#...#...................#............#........................................#....................#.....#........#..........#......#........#....#............#............#................................#............#................#....#...............#.#.....#...##.....................#.........#..............................................................#.....#.............................#....#..........................#............#.#..#..........#.........#...#..#.............#.........#.........#................#...#....#.............................................................................#......#.....#....#...............#.........#.#..................#.#.......#.#............#.#...............#.#..#..........#..#........#..........................#...#.#.........
.....#..................#...................#...............................#..#.#..#........#...#..............................#.........#..##......#..##......#............#........##..#.........#..........#........#........#..................##.........#...##........##.......................#.##.......#.............#....#.#......#........#........#..........................#.................##..........................#.......#.....................#..................................................................##.#.#...........#..........#....##.#.........................#..............#..................#...........................#..#...................#....#.#...#.......#................#................#....................#..................#..............#...........#..#....#.................#..#....#.#.....................#.................#.........#................#..........#.#.........#...#....#...#......#............
#......##.....#.........#.#.........#......#...............................#..........#........................................................###....#..#.............#...#.............#...............#....#.........#....................#............#......#.#...#.........................#.##........#..#..#..#.....................#............##......................#............#.............#..#..#....#..........#..............................#.....#..#.................#..#..............#..........#......#.........#...#............................#...#........................#.....##.##.......#.............#......#...#.........#...##..#...#..#.#..#..#...#......#.......#.....#....#.#........#...#..##..#...........#........##.......................................#........##...#............#...#...#.........#........##.#.#....#..#....#....#...........................#......##..........#................................................
.....#.....#...............#........................#...........#.........#...#..............#..................#..#..#........#......#...#..................................#.........#....#...........#....#..........#.........#............................#..........#......................#..#........#.....#......#............#........#...#.....#...#........#.................................#.............#...#..#...........##.#..............#.#......#...........#.........................#...............##...........#..##....#....#.#...................#...#...#...................##..#................#........................#..#.................##........#................................#....##.......#...........#....#............#.....##.............................#.....................#........###..#.......#.................####.....#....#......#..................................................#...............#............#........
.......#...................#.........#..##.......#.......#..#.............#.#.#.........#........................#............#............................................#.......................................#..#............#..............#......................................................#.........#.................#...........#.......................#...................#.#.....#....##.##..#.#........#....#..........#.#.....#......#.##.......#.........#...............................##..........#..............#...............#...###.##..........#..............#.............#.......#............................#........#.#................#..............#..............................#....#.............#........#.##.....#..........................#......#....#.....#.#..................#......#..........................#..........#.....#....#........##........#......#.#......#..........#................##............#...........
.....#...###.#..........#.#............#...#...................................................#.................#...#.......#......#.......#........#.....#.#..................#.......#..#.......#..........#......#......##..#..#.......#..#.#..............##.......................................#.................................................#.......................#..........................................#...........#...................#..#................#.#.....#...........#.....##.........#......................#.....###.#.........#....#.........#...............#..........................#...........................#....................................#...............#..#...............................#.................#...............#...........#...............#.......#..............................#..#....................#.............#.#........#.............#.#.......#......#............#.........#..................##...
.......#.......#....#.................#.............#.....#....#.......#.......#...#.................#.........#..#....#.#............#..##.......#.#...............#..#...........##...#.#................#....#............................#..#...#..#........#..........................#.....................#.................#...#..........#......................#.#.....#...................#.........................#..#........#..............................#......#.#..................#....#.........#........#...#...##............#..#..............#..............#...............#.....#.............................#............#.....................##.#........#.........##........#...#............................#............................#.....#...........#..#...........#..............................#...#........#.............#...................#......#......................#.....#....#...................##...#..............#........
..........#..........................#.......#..................#.#.............#..................................................#....................#.................#........................###.#..............................#....#....#.......#.............##..#.......................#.........#..............#.#..........#.......#....................#...................#.............................................#..#.................##.................#........#.........#.#.#....#......##....................#.....#..............#...........................#................#.......##.....#.......................#.................................##.........#.#.............#.......#.###.......##.....#..#.........#....#................#....#...###.....#.....#..............#..........#......................#..............#.#....................#...........#...#.........##.....#..#.##...................#.......#........#...#......#.
..#..........#......#...................#...#........#..#......#........................##.......................#...........#................................#.....................#.#..............#....#.........................................#...#...#....#............#...................#............###....#..#..................................#...#.#...#.##...#.........#..................####...............#.............#.....#...........................#.......#..................#....#..........#........................#.....#....#...........#.....#......#........#.#.....#....#...............#.##....#.#.#......#.......#...................#....................#.........#................#.................#.........#.................................##...#.....#..................#....................#..#............#.............#...........#....#............#..#.....#.....##...#.........#.....#.......#....#.......#......#...........
#............#.......##........#.....#....#.#..#...........#..........................#..#...#...#....#...........................#...#....#.....#........#......#........##............#.....#................................#....#.#...........#...#............#...##..........#...................................................#..#................#.....#......#.#....#.......##................................................#....................##................................#......#.............................#..#................#.....#...............#...###......#............#.....#.#...#.....#......#.#..##.........#...................#....................#..................#..........#.......................#..#.#..#....................#..#...#....#...............#..................#..............#...............#............#.#.#.#...#.....#.#.#..............#................#..........#........#................#...#...........#
.....#...#...................#...#...........#.............#..#.................................................#........#......#..#.......#..........#..............#.......#.......#........#...........................#.........#.#...............#......#............#................##............#............#...#..........#.#..........#........#.................................##......#........#......................#......#.......#...#....................#.............#..............##.............#.....#..#...#....#....##...#..#..#...................#.#....#.......#..............#..........#..................####..#......#......#........................#...#..#.................##......#..#..........#..................#....#...............###..#.............#..#..............#..##............#....#.....#.................#....#.........#...................#......#............#....##.#......#.................#......#.......#..#......
.....####..#..##......#.......#..#..#...............##....#...............#.....#..................#........##..#...#.............##............#.#................#..#.........#.............#..................................#.#..........#.#....#...................#..#...............#.......#..#...........................#..........##....#..........#..........#....................................#...........#...................................#........#.......#........#.....#...........#.......##...................#....#.....#...#......#....#......................#........#.....#....#..........................................#.#............#.............................#...........#............#..#......#.........#...........#....#.....##.......#...#.....................#.........##...#....#.#...........................................#......#................#..................#.....#...............#.......#.........##.............#.
...................#..........#.....#...#.#..........................#.....#.......#.........#.........#....#.............................#......##...#.##..........................#.........#.............#.....#..#...................#.................................#..#.....#............#................#..#...........................##....................#.#......#..#..#...#..#....................#.......#..#...................#...................#.............##.......#.#......####..#................#..#...##...#...................#..................#......................##...#............##........#...............................................#.......................#.#..........#.....#...#.#....#.........................#.............#..#............#.......#................#.......#.....#........##..#....##...................#........#....................#................................#......#...##.#..#...........#....#...
.......................#................#...............................................#....#...........#..#..........#......#..................#.........................#...........#............#............#...............##.#............#.....#.............#.....#.......#........................#...............#...#......#.....#..#..................#....................##...............#.........#.....#..........##...........###..#.#...................#.#.#.#..#.....#...#.....#.................#....#.......#...#.#..............#......#.................#......#...........................##...#..#..............................#.............#.......#.##.........#...##.......#.........................#..............#.............#..........#.........#.....................#........#......#.........#...................................#..#......#..###.......#.#.....................#.......................##..#......#....#...#....#......
.................##.....................#.............#.....#.#........#.......................#........................#.#...........#.......#......................#...#...........#...............#................#.........#..#........#....#..................#........................#...........#......#...........#...#........................#............##................#......................##..#....#...........#.#........##.........#..#......##..#.#.#.....#.#.......#.#.........................................#...................#................#.#...#.......#........#....#...#.#.........#.........#.................#.#.......#...........#..........#......................#.......................#.............#.#...........................#.......#........#.............#...#.#...................................#..#......#.#....#.##..##.#.#........#......#...#..#...#..................................#.......#....#...#.............
...............#....................................#..#....#..#.......#.........#...........##..........#........#....#............#........................#......#..#......#...............#..#............................##......#.................#...............#........#.#....#...#..........#..........#.........................#.#......#...#.............#.............#.............#...#.#...#.........##...............#...#..........###......................#............#...#.#....#.#..................#..#...#....................#....#......#.......#.....#.#...#.........#....#....#............#...........#........#.........#...........#............#.....##.............#.......................................#....##.....#.#................##.#........#.#.#...#.............#...#..........#...............#...........##..........#....#.........#.......#..........................#.........#....#........................................#.
..#...............#.#....#........................#..........#.................#.#.#.#........................#............#.........#.##.......#.............................##...#.......#.#..................................................#...............#........#..#...........#...#....#......##.........#.....#...............................#...##....#.....................#.....#..#..#...#......#..................................#...#..........#.##......#.....................#....#.#............#................#...#..........#...................#.............#.......##....##........#.........##................#.#.#.............###....##...............##......#......#.....#...........#......#..............#....#.#..............#..................#.#...#.#.......#.............#...#........#...............#..........#..#...#..#......#.............................................#............#....#.............#.......#.........#.....
......#.........#.................#...#.......#.....#..............#.....#...............#....................#..#.#.#................#........................#......#..............................#..#...........#.........................#.......#................#.................#..........##............#............#............#................................#............................................#...................#.##...........................................#.#.............#.................#........#...........................#...............#...........#....................#........#..##...#...............#.................#....#........#......#............#....#..........#.........#.........#.........................................#....#........................#....#...........#.....#............#.#.....................#........#...#.......#...............#........................#.#.###...........#................
.........#...................#..#..........#.........................#.....#.#...#......#....#.....#.........#.......#..............#....#...#..#.#...##..................#..#..........#..#..................#......#..#............#.....#....##.......#.........#....#.................#......#..........#.......#....#...#......#..........#.......#....#............................................#..#....#........................#...........#.........................#.#.#..........................#.#..#...#.......#......................................................#...#..#.............#............#.........#....#...................................#...#.##.............##...#...#..##...#......#..#.#...............#........................#.#.........##...#.......#.......#....................#.....#.................#.............................#......##...##....................#..................#.....#...........#...#....................
...#.........#.............#...........................#......#......#..#...#.....#.#.#.......##..#...#............##......##......#...#.........#..#........#.....#....................#..#............#.........##..............###..............##.......#.#................#..............##.#....#........#..#...................................#...#......#....##.....#...........#..#..............#..........................#..........#...#.#.##......#....#....#....#....#...##....#....#.......#...........#...................#..........#...............#.........#...............#..........#.........#.......#..........#.#.......#..............................#....................#.#.................#...#.#....#.........#......#.............................##................#...#.......#....#............................................................#...#.....#.....#................#.....#....#...#.......#..........#............#...#..#......
..#...........#....#................#..##...#.....#.........#....................#.......#....###..........#..............................................#.............................................#.#..........#..................#......#........#.......#...........#..............#..........................#......#.......#....................................#...............##............#.............#..#......#.....................#..................#................#...##......#..........#.............#.......................#.##..#........................................#...#....#....#......#.........................#.................#...#.....#..##......##............#...#........#....#...........#.......#....#...#.#..#..............#........................#......................#..........#...................#.#.....#......#..#..........#.................#..............#.#..............#.........#........#.....#.............#
...................#..................................#.........................................#.#....................................#.....#......#........#..#...#............#...........#...........#....#.....#.........#........#..#...#...#.....#...............#.......................#.#.............##...........#.................#......#...........................................#........................#.....#..##.............................................#..#.##........#..................#.##...................#.##........#..........................##......#...##........#..#..........#...#.............#..#....................#...........##.......#...#.................##..............#.....#..............#.....#........................#..............#....#..........#.....#........#...........#..#...........#................#..............#...............#............................................#.....#..#.......#.....#.....
#.#.#..#...#..........................#....#..........#.#......#..........#.............................#...#.............##....#...#........#............#..#....##.#.......................#......#...#.....#....#..#...............#.#..#...............#.#......#........#...........#....##.....................#.....#.....................................#...#.......#.............................#........#...............#..#......................#..........#..................#..#.......#........#.................#...........#..#...#.........................#...#......#......#....#..........................#...............#....................#..............#........#.....#.#.#.............#..#......#..........#..............................#.#.#..........#......#...#...#..............#.#..........................#........#......#............#.....#...............#.............#..#......................#.................#..............#..
......#...................#....#.....#.#.....#.....................................................#...#.......#............#..........#..#...#..#..............#..#.................##...#...........................................#........................................................#.....#...........#......#....#...................#......#..#.............##....#.............##.#.#...........#...........#...#.#..#......#...........#..#...........................#...................#.#.................##........#.........#.#............#..............#......................#........#....#.#.....#.............#....#.#.#....#..#......#.#...............................#..#....##.#......#...................#..............#...........#....#........................#..#.........#.......#...............#................#.#......#......................#............................#....#........#..........#.........................#.........
..#.#.#.........#..........##..................#.............#.#.....................##.........#......#.#...#.#...........#.......#....................#.............#..................#..............#.#.#.........................................###..##.#...................#...#.#.....................................#.#.........#.................#.....#.#........................................#.#.....##.......................##............#....#.....#...#..............##................##...#...#.......#......................#.......#.#..............#......#.................#...........#.....#....#..#..#.......#..................#.................................................................#....#....................#.............#...........................................#......#..............#..........#............#.....#..#...........#...##...#........#.......#................#.#.........#.........#..........#......##.#.....
.........#.............................#..#................#.......................#.........................#.......#............#..#.....#.......#..................#.........#..........#..#..#.#..................#...............#....#......#.......................#..#.................................#...............#.....#..........#................................#...#..............#....#..........#..............#.............#.......................#.....#.............##.........#...........##.................#...#......#......#...........#......................#.................#...#..........................#...........#.#........................#...................##.................#...#....#.#......#..#......................#............###..............................#....#.....#....#.............#.........#......#.......#.#........#..#.......................#.......###.........#............................................
....................##.##..#......#.##.#..........#..#........#........#..................#....#.............................#.....#.......#..#.................##....##......#.........................##......#.....#.........#.......#.....#...#...................................................##...#........#.................#....#......#..........#.........#.#..........##...........#.................#.....#..............#.....#....##...#..#........#...#..#..#........#...............#.#.#.#.##..#...#......#............##..........#..............................#................#.#..........................#...........#....#......##...........#...#....#......#.....#........#..........................#.#............#.............#.#......#.#...#...#..#........#........#.........................................#...#...............#.#.................#.......#................#.#.......#............#.....#.....#...............#........#.##
............................#...........................#.........#.................................#.#.....................#..##......#.............#....#.#.......#.....#.....................................##....#........#...........#...##...................#.....#...........#.....#...................#...........#..##..........................#........#..#..#.....................#.............#.............#.....#..........#....#.....##...............#....##........#.#......#.....................#.#...#...................#.....................#...........................................#.#......#...#........#..........................#...........#...........#..#....#..#......#.................#....................#.......................#.......#......##..................#.#....#.........#.#.#....#...............#...............##.............#....................#.............................................#....#...........##....
..................#.......#.#.........#...............#.....##....................#.#............#...#.#..##........#....#.............#....................#......#.....#.....................##..#...............#.................#.............#....................#...#..##......................#...#..#.......#.......#....#............##........#.....#....#.....#...#..........#..#........#....#...........#...#..#.....#.......#.....#............#.......#...................###...................#.......#........#....#............##............##.#.....#.#...........................#...............#..................................#.....#..#.....#..#....#..#....#.#.........#..........#......#...............#....#......#..........##.................#...#.......................#.......#...............#..............#.#..............#.....#........#..#...............#....#.................................................................#..
........#.#......#..#.......#................................#........#..#...#..#.....#..........#..................................................................#......................#.......#.................#................##..........#.....#.............#..#...##...........#.#................................#..............#.......#...#.#..#..#.....#..#.#..........#........#.#........#........................#....#............#........#....##..#..........##..#.#........#............#.......#.......#...#................#..............#...#..........#........#.#.........#................#.#.#........#............#...............#.........##..........................#..#.................#.##..#.....#..........#...............#.#.....................................#..........................#......#.#..............#.........#.......#..........#..#...###.................................................##........#............#.....
.....................#.#.......#..#.......#.#.#............................#...#......#.#.#................................#.............#....#..............#......##..##.....#......#..#..#.....#....................#............................................#..#...........#................#..........#......#.........................#.......#........##........#..#...........#.......#.....#................#..............................................#..........#.......#............#....#.............#................#..#...#.....................#..#....................#...#....#....#...........#....#.........#..........................#........#.#............#...#....##.#.#....#........#...#....#.............................#.................................##..#........#...#................#...#.....#.........#.##...........#..#...............#...........#.....................#.....#...#..#..#...........................#..#.#.....
......#..#..#...............#......#.....#.......................................................#..................................##.#..#.........#...##..##................#.........................#.....#....#.........#.......#......................#........................#........#.......#.........#.........#.....................#..........##...........#...............#.........#...............................#............................#.....#...........#....#..........#.........#..............#..............#...#..##............#...#.....#...#..........#...........##.....#.#..#...##.....#.....#................#................................#...#.....#......#...#.............#...#......................#.....#......#......#.........................#......#.......#..........#........................................#..........#.........#......#..#....#......................#..............#..............#...........#....#.......
...........#.#...............#........#......#..#..........#......................###.................##............#....#..................#.....#.........#.............#..........##..........#.......................................#....#.............................#......#..............#..#...#...#.............#.............#.........................##..............#...#..........................#...........#..........#...#...........#.....##..###.......#...#..#...............#...#....#..#...#............#...............#.............#...................#......#..##.....#....#..#......##...........#...............#.#.................#.................##.....#.#..................#.........#..#.#.#......#.......#...#.......#..#......##........................................#........#...#...............#...............#......#...##........#.....#.....#.......#.................#...............#..#....................#................
...#..#.#........#....#........................#..........#..#.#.................................#........................#......##.......#................#..#.........#............#..........#..#......................#..........#......#.........................#.#...........#..#......#.#.#.........#.......................#.............#.....##..........#........#......#......#...............#.......###...........#....................#.....#...#.........#..................#.......##............#......#..........#.......#.......#..........#........................#.....#..........#..#.....................................#..................#.....#.#.....#.#........................#....#.....#...........................#............................................#..................................#.................#......#................................#........##.................#.........#.........#..#.#.......#..#.....#.#........#.
.................#...........#..........#........#............................#........#..............#..##............#.....###...#.........#.#.........#.#................#...#....#.....#...#........#....#..#...............#...#..#...#..........................#...#........##.....................#.......#........#....#...............#................#...................##...#.............................#..........#......#.....#...........................#.......##.......#..#........#..........#...##.....#.............#......#...............##............#......#...#.#.......#............#.......##..##.....#..............#...............#...............#.....#...#......#...........#.#.................###....#......##....#................................#..##.#...................#.........#...................................#...............#...........##.....#.................#......#...................#..........#..#...........#....
...........#..........#.............#......#..#....#......#.......#....#..........#......#..#....................#........#.......#.........................................................##..................#...........#..........................#...........#........#.#...#.........................##..#........##.................................#...#..#.#....#........#...........#........#..................#.........#...#...........#.#..##......#.#.........#................#...........#..........#..........#..#.#.#.....#..#..#..............#.......#............#.#.....#..................................#.#...................#...........##.#..............#...##.....................#.....#......#.........#........................#.....#.........#............#..#.......#......#.........#.............#.....#..##....#................................................#....#...............#..#............#...#...#............................
............#...............#.....#..........#..........#........#.......................#............#.............................#..#..#......#........#....#.................................#.....##...........#........#.......#...#......................#.......#.......#.........#..#..................#.##.....#..#..................#.......................#..............#.......#.........#....#...........................#.....#...............#..........#.##....#....###............#...................##.#.............#.........................#..........#.....#.................#................................................#....#......#.......#.....#..........#.........#...#.........#....#......#.#.#.........#.............#..........#.....#..#......#.......#......................#.....##...#...#........#..#......#...#.........#..#.......#..................#.........#........#......#.......#...#.....#........#.......................
.#........#.................#.....#.............................#...................#............................#.#...............#..........#........#........#.###................#......#.#..........#.#........................#...#..#.........................#..........##.......#......##..........................#............................#.................#....#................#..#...............#............#..................###....#..................#....................#......#..##...#.........#........#.........#........#...#.........#.....#.#...#........#.............#.........................#.###.........................#..#........#................#...#.#...##.....................##.#.#.#..................#......#...#....#............................#.....#........................#...#.............#......#.....................#..#...........#..#..........#............##.........##..##.....#..............................
............#....#....#.#.....#...#.....................#....................#....................#.................#..........#.........#.....#......#..#.#.......................##................#......#..............##............#...#.#..............................#............#...............#....##...........##...#...#..........#.................#...#.............#.....#...........#..........#.....#.................##....#..........#......##......#...........#.#...............#.....#..#.....##......#........##..#..............................................#...#..........................#.#........#....#..#.........#...#.......#....#.............#..#....#...............................#......#...#..........#.....................#..#........#.........#......#..........#.#...#.......#..##......#...#....#..................##..........#..............#.........................#...........#................#....#....................
................#......#......#..........................#....#..................................#....#.....#.....#.........#....#.............#........##.....................................#.#.#.....#.............#....................#.#....#...#........#...#..........#..................#.....#...#......#...........................#...................#.#.....##....#.#.........#..#....#....#....................................................#....#........#.........#..#..........#..#................................#...............#.#................................#......................#....#..#......#.....#...........#.................#......#...........#.#.#...................#.........#........#.........#....#.#.....#..#...............................#..............#....#..............#................................#.................#..#..................#.....#..............##....#........................#...........##.......
..#............#...#..........................#.#.#.........#..............#.......#......................#.#..#........#.....#...#......................#....................#.....#....#..##.............#..........#.....#..........#...................#...................#.....#...##...#........#....#........#...........##.....................#...#..#........#............#..#..............#.............................#......#........#.....................#...#.............#....................................#.............................#...................##..........#...............................#.#..#..................#..........#..............#...........#.............#.#.........#......#......................#......#...................#.............#....#..#.....#.........#..............#.#.........#.....#................#......#....................#......#....#.....#...........................#....#.......#.............#....
......................................#..#......##.#.............#..#..........#...............#...#..........#......#.......................................................................#.....#................................................#..#.##...............##......#...........................#.....##.#.....##........................#..#.......#.#..##.....#....#...........................#................................#.................#...............#.....................................#...#.........#......#.....#..#.................##..#.........#.#......................#....................#............#......#.....#.#.........#.#.............#........#................#........#..#......##.......#.......#.#...........#......................#...........##.........##..................#.#................#.....#.....#.#..#.#.........#..#.......#......#..................................#.....................................
#..##...........................#........#.................................................#...................#........#........#........#....................................#..#.......#.....#..#..#...#.#...............##...................#................#............#...#..#.....##...............................#......#.............................#..................................#.........##.........................................#..#................###...#....................#....#..................#..#..........#.#.........#.......#...............#.......#........#......##..#...#.............#.#.#..............................#.......#..........##.............................#...#..........................................#...........#...##........#................#......................#..........#......................#.......................##..............#...................#............#....##.#........#...........#...
......#....#...............................................................................#...#.....#.#.......##............................#......................##............#........#...............#..#...#.#...##...#..........#...........#.#.....##................................................#.....#...#....#.............................#.................#.#...#.....#...#.......#..............#.#..#............................#................#.#..........#............##.......#...#.#....#...#........#.......#............#...#.....#...#..#................#.#..#..#.........#.#...#..........#.....#.........#...#...#...........#...............................#..........#..#........##.................#.......#.##......#..#...##............#......#.............#..................#.#..#................#........#...........#..............#.................#.......#..#........................................#.................#.......
..##.#..............##.........................................#......##.............#..............#...............#......###..............#..................................#...................#.......................#....#............#...................#..................#...........................#........................#.......#.#......#........#............#.#.#.....#......................#...#.....#..#....................................#.......................#............#........#........#...#......#................##...#.............#..............#...........#...........#........#.#.........#......#.........#......#..#....#.#.............#.............................#................#......#...............#..........#...................#..................................#................#............#..#............#.....#.#..#.................#..#.....#......#.#....#......#...#.#................#.....................
.......................#....................................................#....#.....#....#................#........................#...........#.....#..........#...#........#............#........#.....#.......#............#........#...##...........................#...............#................#.##......#...#.....#................................#....#...........#.......#.................#..............##..............#.....#.................#........#.#...................................#.#........#.....................#........#........#..##....................#..#.#..................................#...................#..#......................#........#.............#......#...#........#...#.#...#.......................#......#....#.#...........................#..................#......................................................#............#...................................#...........#..........#...........#...#...#.
..#.............#....#.....#.#...........................#...................#.....#..#........#.................................#.#...........#.....#...##.....#....#.............#.....##..................#.........#..#.#...#..#............#....................#...#.............#..##......#.......#...................#..........#.#...#.....#.#......#.....#...#.....#.................#..#.............#..#............................#................#....#.#.##..................#...#...#.#..............................#..........#............#......................#.......#........#.....................................#.......#...#...#...#...#.............#................#....#................#.#...#..#.........#........................................##...###.......#.....#..........#......#........#...............#.....#..........#..............................#............#...............#...#........#.#........................#...#..
.#....................#....#..#..#.#....#....................#....#...#...#..............#...#.................................##..#.....#.......#...................#....#.#..................#......####.........#.........#..#.......#.........#........................#..................................#...........................#........#..#.....#.#.....#.......#.......................#.................#..#..#.........#....#............................................#......#......................#..............................................#..........#..#................#........#...............#.......#................#.......#................#.........#........#......#..........##..#....##..#...#..#................#.#......#...#..#...#....##...#......##.....................#............###...............................................#...#.....#...............#............##.......................##..##..................#......
...........................##...........#............#...#...............................#....#.....#........#..........................#...#.#.##....#.........##.#...#..........................#.............#....#.#.#..............#...#.........#..........##....#...................#................#.....#...#....................#.#................##.......#..............#...........#...#....#...#.#...#.....#.......#......##......#.....#........#................#.##....................#...........#..................#..#...................#...#.......#......#.....#...#.#.#.....................................#...#.................#......#..##..#.........#..#.............................#...............................#.....#.................................#.......##...........#.....#.......#..................#.................#........#................#...........#......#....................................#..................#.......
.#....................##....................#...#...................#...#.....................#.....#...#..#.......#.#....#........##.........#....#...........#..........#..#..........#..........#................#.....#.....................###..##.......##.......#.............#...#..............................#...........#.......##......#.#....#..#.......................#.......................#...#.......................................#.........#...............#...........#....#...............#...................................#.....#...##...###.....#.......................................................................................#.........#.......#....#...##..........#..#.........#.#...#.........#..............................................#.................#.......#..#........#...#.#..#.......................#...........................................#................#................#....#.......#............#......#.
...##.....#.......#...............#............#.................#....#.#..#..............................#...#......#....#.......#.....#...............#............#................#.................................##............#..#.#............#.......#..#....#..#.....#................#.........#..............#.#.#.......##............#..........#.#.................#.........#..#.......#......#.#.............................#.........#.....##..#........#..................#....##.............#...#.......#...##....#..........#...........#.......#..........#....#.#......#.....#....#..................#.........##.........................#.......#.......#.......................#............#...................#................#.....................##..#...............#............#........#..#...#......#....#......................#......##...............#.........##..........##................#.....#...........#..#..#..#..#...#.......
...#........................#............................#.....................................##......#.#......#.#...#..........#.#.....................#...............##...........#.................##........#.....#.........................................#............#.#...#............##.............#..................................#..............#...........................#..............................................#...................#..................#..............................#..........................#....#.......#................#.#.#......................#......##.#......#.....##..........#........#...........#...........#..........#........#............................#.............#.....##.........#...................#.#.#...........................#...........###..#...#..........#...#..#.....#.....#..#.................#......#............................#.................#......#.........#...................
....##...........##.##......#.......#......##..............#........#..............#..........#..#........#.##.....#...#....................................................................#................##.....#......#.#....#.#.....##......#.....#.#..#.................#...#..........#..#.#.........................#....#........................................#........#.........................#..............................#.........#..#...........#..............#...............#....................#.##........#................#............#..........................#......#.....................#.#.......#....................#..#....#.......#....#.........#..............##..............#..............#.#........................#.........#..............................#.........#........#..........#..........#................#...#..............#..#.##......#........#.....#.........#......#....##.....#.....#..........................
........................#.#..............#........#......................#.....#..............#...........................#...............................##.#.......#.....##.............#.....#.............................#...#.#......#..........#...#...........#...#.........#.....#..#..#......#....................#........##......#.##..............#.....#.#..........#...............#..............#.#.........#..........#...#...#......#.................#...............#.............#....#.#.....#..............#...................#.#...##..#...........#.........#.#................#......#.....................#.......###.#..#............................#....#.........#.....#.......#.........................#......##.#....#...#.....#..............#..........#................#..................................#....#......................................................#.........#..#.....#......##..#.......##..........#...........#.......
##....................#.................#.......#..................#...........#.....#...#...............#........................#......................##....#...##......#..................................#.#.................#.........#......#...................#.#.........#.....#..........#................#.........#.................#.....##....###...#....#.......#..................#.......#.....#.....#.........#.#.........#..#...#......#.............................#....#..#..........................#................#....#.......#......##......................#..................#....#.....#...#.......##......#................#...............#....#..................#...........#.#......##...#..###...#......#........##.........#...#..................##..........#.#.........##..#...##............#....#...................##...#....#..#...........#....#..........#......#........#..........#.....#.....#......#..................#..#.#...
..#.......#..........#............#.#................#..................#........................#...#.....##..............#......................#.............#........##.................#......#..#........#..##..............#...........#...................#.............#...#...............#..#........................#..#..........#..................#........#.................#..##.............................................................................#...........#............#.........#...................#...#............................#.............#.............#.#.......#..#........#........................##..........#...............#.......#...........#........#..........#....................#.#.#..........#......................#..................##...................................#.#....#......#.........#...........#.#....#.#................#...#..........#.................#.#.#...........#..#............#....#...#..
........#..............#..#..........#........................#.##.#....#............#..#.##...#.##......#............#..#.#............................#..#..#......#..........#.....#...........#...#....##....#.#.#......#.....#.....#...#........#.......#.....................#...............#.....#...........#....#...........#.....................#...........#...#..........#.....#........#..............#......#..................#.#................#...##......#.......#....###......#.#....#..#....#...........................#....#....................#.#..........................#................#.......#.......................#....#................#.......##.#............#....#........#..............#...........#.......................#..........#...#.......#............#..........#....#.#..................#.#............................#................................................#.#.....................#........#.............#....
......##..#............#..#.............#.......##..#.....#...#........#.#.........................#......................................#.............#..........###.................#....##.............#.............#...........................#.......#..............#...........#......#.......#.....#.....#..........#......#.#......##...#......................#...#....#......................#...............#.#....#......#..#...#.................#..........#..#....#........#..............##......#.............................#........................#............#.....#.#................#......................#......#.#............#................#....#...#....#.........#..............................#.#.....#......#........................................#.....#..............................#.........#...........................................#......................#....#..#...#....##.........#...#.....#..#.#...#..#............#...
........#......#..........#................#......#...................................................#........#..#................#............#.....#.............#.....#..........#......#......#.......#.....#......#.#.................................#............#..#..#.............#.......................#......................#.#....................#...........#..............#................#...#.............#...............#...##....#....#...............#.........#..#........#..#......#...............#..........#............#....#.........#.#...........#.#.....................#..#.......#.......#........##..#......................#................#......#.....#.................#.........#....#............................#.........#.......##.........#..#............................#.................#..##...........#.............#...................#.......#..........#.............#.....#.......#.....#...#........................
.......#............................#...........#........................................#.......#...##..#.................#......#.#...........................#.......#............#..........#..................#...#.#..................#.................#...................#......#.......................##..........................##.........................#...##................#.............#...........................#...#...#......#................#................#....#..........#.....................#.#....#..#..............#.....#...#.....................##................#.....#..#...#...#........#....#................#..........##........#..##..#............#..................#....................#............#..................#..#..##......#...#...........#..#.#.....#.......#....##......#.#....#..........#....................................#.#..........................#...#..................#.............#...........#..#.
..##......#.#.#...#..#..#..#..#.............................##........#....#...#..........#..#.........##................##.......#...#......#.................................#.....................................#....................#...................#...............#......................#.........#.........#.......##.................#.#......#.#......#.......#..#.......#....##.........#....#......................................#..#......#....................#.......#........##......#.........#....#................#.................#.#...#.......#.#..........#.#...#.....#......................#......................#..#......#...#...#.........#.....#......................#...#...........#..................................##......#...##..........................#.......#......##...#....##..................#.........#.......##..........#.#.......#.....#........................#....................#..............#..................
#...#...........#.........#............#.#.#..#...........#.........#.......#.............#.........#..................#..........#.#.......##...............##..........................##...........#..#........#..#...#.....#..#.#.#................#........##.......#........................#..................................................................#...###..........#......#......#..............#.......#.........#......#...#........#..#..#.##......#.....#..................#....#......................#.#....#.......#.........#...........#..........................#.#...........#....##.....#...............#....#.............#.................#..#...................................#.............#.......#..............#................#................................#...........#.....#..........#........#.#...................#....................#.......#........#................#....#........#.......#.........#.................#..
..................#.....#..#..................#...........#...........#...#...#......................#..#......................................##...............##.#.............................................................#......#.#.......................#.....#.#.........##..........#...................#......................#.....#....#...#...#.............#.................#....#..#.#..................#..#....#....##..........................#........................###.....#.....#.............#.#........#.......#.................#.....#...........#...#.............................#........#..#.........#.............#.........#................................#.........#...................#.##..................#...#....#.##..#.......#.............#............#.#...................#.....................#..#.............#...#......................#...........#...........#.#...........#.#..............#........#................#..
...##...##..............#......#..#..........#.......#....#...............##.......#..............................................................#.#.....#.....................#...........#...#......#....#.#..........##..........#..#...#......#..#.....................#.....#..............#.............#................................#......#...#......#...#..#.......#..#.................#.......#...........##.#...#................................#...............#.....................................#.##...#............#................................##.....#............#......#####...#................#......#............................#..#.........#..#....#..........#..#.......#........#..........#......##........................#...#..........##..............##..#...#...................#.........#..........#.....................................#.......##.#..........................#..................###.#..#............#........#.
.#...##......#..................................#..#............#.....................#.....#.#....#....................#.............#.......#.........................#...#..#............#.....#...#..........#.#.......#.............#...........#.............#....#..#..#.......#.................#.#....#.#......................#........................#.........#..##...#...........#.......#.#........#....................#......#..........#...#..........#....#................................#.#................#..#..............................#####.................#...#....................#.........#....#...#...#....#......#..............#.......#.............##..#..#..................#......#..........#...#..........#...........#...#....#............#............................##.........#....#........#............#............................................#..........#.#...#.#..............#.#..........#.........#..#...........#...
...##..................#...#....#..............#...................##........#.....................................#....#.........#...............#..#...#.......#.................#........##...#....#.....................#....#....................#..#....................#.....#.....#.#........#..............##.......#..........#......#...........#......#.....#.#................##....#.....................#...........................#.............##.#......#....#.#................................#......#.......#............................#..#..#................##.................#...#.........##.......#.....#............#......#.....#.......#....#..............#..#........#.#.................#.......#.#................................#....#...#....................#..........#.................................#.......#......#...#..#..............#....##..................#................#............#.....#........##....................
..............#............#........................................#......#...................#..#...............#........#......#...#.##....#........#...#.............................#.#.....#...#...........................#..#...................#.......................#.#.#..#......#..............#..........#...#.#...#............#....##.#..#................#........................................#......#...#................#.........##................#......................#............#.....................#...................................#.....#.....#....#..#..........#.#..##.....#.........#.......#.......#...#..............................................................................#..........#..............#.........#........................................#.#....#...#.....#.....#................................................#...#......#...........................#........#...........#....#..........................
..............##.....#.#..........#.........#...................#......#............#............##.....................#.............#.#....#.......#.#..............#.........................#..............#...............#......##.#............##..........#....................#.....#...#...........................#........#.....#..........#...........#.......#.......#..............#....................#....#.#......#.........#....................#.........#..........................................##.......................................#................#....................#........#............#.....#..........#...........##.......#.#..........#......#.......#..........#......................................#....###............#....#.#.#...............#..#..............#..#...#........................#.........#...#............#.................#......#.#...........#....#..............#....#......................................
....#....#.........#...........#.........#.#............#...................................................##..........#..#..#..............................#........#...#..........#.........#..................#.####.................#.#....#...#.#.....#.#................#........#.......................#...........#.........#.......#..............................#............#...#.................#....#...............##..#....##.....#.......#.......#.#.###..#................#...........#.................#.#.#........................#........#.........#.............................#.................................#..........................................................#.....#..................#.#..##..............................#........#....#........#............................#...#.............#....#...#.##......#.......#........#....................#.....................#...#.............#..........................#...#......
..........#......#..................#...#.............................#.......................#.......##...........#...#............#.................#.#.......#.......#.............#..........................#..............................##...........#................#.................................#............................................................#..................#.....................#.....................#......#..#..#.............#...........#...........#.#..........................................##.....#...#............#..#.......#..........#.....................#.....#.................#..............#...#....................#.........#..##....##.....#........#.#....#...........................##..................#...............#............#..#.............................#........#........#......#.#.......#....#.........#........#.........................#................#.......#....#....#.......#.....#...#
....#.#..............................#.........#.##...#.##....#...#........#..#....#.#.......#..............#..##............#.........................#........#............#....#................................#...#.......................#.................####........................#......#...............#..................................#.......#........#.#........#......#...#.#.#...........#.................................#..........................................#.........................#................................#.................#.....#...............#.....#......##....##..........#............#.#......#.................#..#....#........#....#.#..#........#........##..............#...........................#.................#............................#....#.........#................#...................................#.#..#.....#....#............#.....#...............##.........#..........................#........
##........#..................#........#..#....#....#.......#.....#..............#....##..#.................#.......#...#...#......#.#.#...#.....#............#........................##......................#..#.#..#.#..................#..#..#.............#.........#.#..#......#..#............#...........#.........#.#..........##.................#.............#.........................#.#.....#.....#..........#....................#.#...................#.......#...................#...................................##.#.#............#................#........##....................#...............................##..........#.........#...#.........#.......................................#............##.#.......#....#.....................#..............#....#.....#..#................#..#...#.........#....##.#.....................#.................#.......#...#.............#....#.#...................#.#.........#........##.............#..
......#.#......#.......................#................#..#.....................#....................................#..#..........................##.###......#....#........#........#.....##.................#....#...............#.................................#.....#........................#.....................#.......................#...........#.#............................#...............................#...............................................#......#...##.#..#..................#..#........................##.........................#....#.........#..#......#.....#...#.........#............##...#.........#........#.............#.....#.............#..........#........#.#...#......#..........#.........#.#......#.#.......#........#.#.......#........................#......#.#............#........#..#......#..........................#......#....#....#..............................#.......................................#.##
.#..................#...#....#..#.................#....##.#..............#.....#...........#...##............#..#.#............#..#....#......#......#..................#..................#.......#...........#.............#...................................#.....#............##..#................#...................................................................#...........#..............#.#.......#.........#....#..............#..............#.........#...#......#..................................####......#.....#................##......#...............#........#.....#....#.............................................................#...#.........#...............#.#.....#............#............#...#..........#.#...........#...#..#....#.....#...#......#.......................#.........#..####.....#......................#........#....#..............#..................#......#...........#..........................#.........#.#...#..#