500 500 0
.#.........#.#..##..#...........#..........................#..........#......#.....................#...#..#.........................#......#...#......#.#............#..............................................#...............#....#....#.................#.#.#.................#........#.......#.....................................##...............#.....................###...............#...#.....#.#...#........................#...##.#....#..........#..................#.......#.##...#.....##....
................#..................#.#.....#..#........#.....................#............#....#......#...................#....#..#..............................#.#..#.....##..............#....#......#....#...#.#..#........#.............#..#..#....................##.............#......#..........#.....#.................#.....#........#........#..##.....##...................................#...................#......#...#.....##......#......................................#...................#...
................#...#...............#.....................#............................................#......#..........#.#..#..#..................#...............#...#.............#.......#.......##.................................#.......#.......#......#................................#...#.................#..............#..........#..#.........#..#........#......##..................#..#.........#.......##..#...#...........................#.#............#...................##....#.#..........
............##.................#........#............#........#.......#.............#.....................#.............#..........................................................#...........##...........#..#.#.......#..#.#........................................................#.....................#.....#.........#.#...........#..........#...........#........#.............##..#.......#.........................#.....#.#..................................#..............................#.....##...
.........#....................#...#.....................................#..#.......#.......##....................#...#...#.......#................#..................#...#...........#................#...#..................#..#................................#...........#...................#.#....................##..................#...#.#...#...................##.....#...........#................#..........#....#..........................................................#........................#.
....#....#....#....##.....#......#...#.....#......................##...#...#...##.............#.........#.#.#.............##.......#.............#.........#.....#...##......................#....................................................##......#.......................................................................#...#......#..........#..........##....................#......................#....#..#..................##............##..#.................#...........#....#..............#.#..
....#...........#........#....#......##............#...................................#......#...#..#........#.#...#.........#.#.......................................#.#..#.........#..........#......#....................................#...#.......###............................#.......#........##.........#...................#....##.............#....#..........#.#................#......................#.#...###.............#...#...............##..#..#.....#.#......##.............#..#..........
..#..#.#............................#..............#..#...........#..#....#..##......##...#....#.................#.#...#...........#....#.#................#......#..........#.............#...#.......#...................#......................#...............#.........................................................#..............#.#...........#.......#.#..#.......#.#........#.#.........#...#...#.....#........#..#............#................................#....#............#.......#.#..#.......
.#.#.........#.........#.................##...............#........#..#..................##..#..............#....................##..........#............................#......#....#....#......#............#....#.#......#...#........#.....#...##.............#..................................#.................#.#...................................#...................................................#.#......##.##...#....#.....#....#...#..#..........#....#...#...............#...............#.....
....#....#................#...............#.............#.........#....#..................#........#.........................#............#...............#...##...#...............#.#.............#.........#..................#....................................#.........#..........#...#.........#.....##..#.....#.#.........#.........................#...#...#.......................................#.#...................##........#....#........#.#.....#.#...............#.............................
..................#...#.#.....#.....#.......................#.#...............#..#.##......#..........................................#...............#.#.......#...............#..#.............#.#.......#.....#................#..................#...#...........#.........#..#...#..........#......#............................#.#........#.......#...................##............#.#.........................................#....#..........#............#...............#..........#.....................
..............#.#.............##.............#.#............#...........#.......#.........#............##.........................................#............#....................#...#....................#........#.#....#............#...............##................#.............#............##.........#..............#..#.........#..##.......#.........#.....##..............................#.....##......#..##..................##..............................#...........#..#.....................
.............#.....#.........#.........................#............#...........#..............................#......................................................................#.................#..........#.................###...#..........#...#..#...#..........................................#..#.............#...#...#.....#...................#........#............#.........................#.........#.......#...........#............#......#......#................#...#.....##........##.#.#.
.........#....................#....#......#......#..#..........#.........................#........#.................#........#....#.....#............#....##....#...#..............#.........................................##.............#..........##........#.......#..#............#.#............#.#........#..#..........#..#..#.#............#....................##..........##.....................#.....#...............#.......##...#....................#...........................#....#.#..#.......
.#........#.........#........#........#..................#..#....#..................................#.........#.........##....#...................................#.........................#......#.....................#.#.........#..............#......#.....#........#........#.......................#......................................#...........#.....................#...#.#..........#...#........#......#..........##.#....#.......#............#................................#.................
............#......#....#.....#....#.....#........................##.............#............#.............................#..........#........#..........#....#..............#.#..#..............................................#....#..........#..#..#.........#.........#.#....#.............#.......................#.................#......#....#.....#.....#............................#.......#...#................................#....................#................#...#................#..........
...#...................................##......#...#....#...........#..#........#..........................#..............#........................#................#...........#......#..........#......#...........#...........................#......#...............................#..............#.#.............#..............#..............#.....#.......##.......#.#...........................#.............#.....#.......#..................................#.......#....#..#.#.#............#.....#...
................................#....#...........#.........#.#...#...............#...................#..#...................#.#.....##...#...............#..............#.#....#...#....#..........#........#.....##..#.........#.....#....#.....#......#..........................................#..........#...#...#.#....#.............#.###.......#..........##..................#...........#...#.......................#.....#...............#..........#.........#.#.......................#..#...........#.
..................##..........#..#...........#.....#...#.................##......#...................#...........................................#.........#....#....#.....#.....#...............#............#.............................#.#......................##..#................#.#............#............#.#......#.........................#.......#.............##...........#..#....#...................#....................###..#....#...#.............#............#...................##........
.#.##...........................#.#..............#.#...#....#.......#.......................#..............#........................#................#...........#....#........#.#..#...#...........#..............#.............##........#............#...........#...#...#..#...............#.............#....#...........#......#.....##..#...................#.......#...#..............#..#..............................................##.......#..#...#..................#..............#.....#...........
................#.#...#................................#...........#...#.....#..#...................#...#.....#.....#..#.........#.............#......#.................................#......#........#.....................#.............#..............#.....#..#....................#..............#...#.#.#......................####.##.....#....#.....##...........#.....#......#...........#...#...........#................#...............................#........#.#..........#...............#........
..........#...#..#................#........#.............................#..#.............#...#................#..#........#....#.#.............#...#.#...#...................#........#.......#..#......#...#..........#...........................#.........#............#......................................#............#......#........#....##.........#...#.....#..###....#........#.........##.......#........#..............#.....#.#.................#....#......#.....###..................#.........#.
##........#.....#....................#...#.......#....#......................##....#........................#.#......#........#.........#.....##..............#......#.......................................#.........#..#....##................#..............#...........#...............#................#....#......#..#...#.....................#.##.......#..................#.................#........#...#..#..................#.............#................................................#...........
........#..#.#.#.........#...................#.#.....#..#...............................#.......#.#...........#.............................................................#.....................................#....................#..............#......................#............#...............................#...........##..........................#......#................#......#.........#.............................#..#...................##...........#............#.........................
...........#.....#............................#..#........#.....#..#...#.................#..##..#........................#...............................#..............................#.........#....#...##..#...................#............................#.......................#........#...........#..#..#....#...#....#..#...........................#.....#..........................#.#........................##..................................#..................#.#.................#...#..#.....
.#..........#..........#...........................#..........................##..................#....##...#..#.............#...#.......#..#.............#....#........................#...............##....................................#....................................#..#..#.............#............#....#...#..................#..............#..#.....#..............................................#...#.#.....................##..#...#................#................#.............#........
...................#..#....#..#...#..##................#.....................#.#.#..........#....#...........#.......#.............#........#....#..#...###.........#.....#.#.............................##....#............#.#..#............................#..#..........................##............#...#.....#..................###...##..#..#.#...................#.......#..........................................##.....................#..........#...........................#..................#....
.......##.............#.....#..........#..........##...#............................................#....................#..........#....................#......#............#.#...............#......#......#...........#..........#......#.#......#......#...................................#..................##................#.#...#..##....#..........#...........#.........#....#.....#....#.................#....#..............#.....#...#....................#.....#.........#...............#..#...#...
....#.#...................#.##........#....#.#........##.......#..........##........#..........#................#...#....#.....#.......#...#...#.#...#..#.............#.............#...#.........#...#.#..................#...........#..............#..#..........#...................#..#............#....................##.....#......#.....#.#.......#.................................#......#....#................##.........#................#.........................................##.#...........#....
.............#...#..#..#............#.#..#.#..............#..........#...#....#.........#.##......#............................#.............#.#......#......#..........#......#..........#...#.............................#.#..#..#..............#.............#...........##.....#...##.............#............................#...#........................#..........#...................#...................##...#...............#.........#..........#.........#...............#....#.....#.#......#......#
............#................##...........................###........#.......##..................##....#.........#....#..#........#..#............#.#...#.........#...................#............#.....................#...............................#...........#......#................#.........................................#.............#.....#..#............#................#..#......#.........#...............#...#.............#..............#.......................#..#.................#.#...
.........#..#.......#.#..............................#.#..#...#..#........#.#.........#.##..#................................#.#....#......#.......................#.#...#.....#...................#............#...#......................##.......#...#.........#..................................#..........#.................#........#...........................................#.....#.......#..#..............#.....##........#......#........#...#......#...#............#................................
##..#.......##...............##.........#............#........#......................#.....##..........#...............#.................##.....##..........#........#.....................#...........................#...#....#.#.....#.#......#....#........#..#......#....#..................#.......#...........#.......##.#............#......###....#........................................................##......##........#........#..#.......#....................#......#...#..........#.....#....#...
..#...#.#...............................#............#.#.....................##.....#............#......#.........#.................##.........#....................#.......#..............................#..........#.....................#............................#..#.............#..#...#....#................#.....#.........#.....................#..#.......#.......#.#..................................#..#.............#.#...#.#.....................#......#............#.......#...........#.....##
..........#...#..#....#......#.....#.....#.......###....#............................#...................#.............................#...........#..............#.#............................................#.......................#.....##..............#.......#.#..........#.......#....#.#...........#..#....#.............#..................#.................#........#................................#.#...........#.......#..........................#.................#..................#..#......
..#.....#.................###...........#...............#.#..........#...#.#......##......#.............#.......#..#.......#................#.##......#.#..................##...............................................#..............#....#...#........##....#...#.......#..#....#.......#..#.................#......#......................#.......#..........#.........#....#.#..........##...#...................#.......#....#.......#.......#....#........#........#.#...........#..##.......##..........
...#..................#.......#..............#.....#.....#..#..#.....#...........#...............#.........#.................#.#.#.........##.....##.............#.#.#.........#....#......#.........................#.......#................#....#....................................##..#...........................................#..............#.#............#.............#.#................................................................#..................#........#......#.#..#.......#.......##...
#.....................#.#..##..#.......#............#....#...........#......#..............##.........................#...#........#..........#..............#.....#.#.#....#..........#............#..#..............................#...................#...#...#...#..#.#................#........##.......#...#.#...............#..#......#..#...........##.....#..#.#......##......##......#....#..................#.#.......#....#.......#....#.....#................#......#..........#......................
..........##.............##.....#..#..........#..#.............#....................#.......#.............###.....#..............#..#...##............#.#......#.##..#..#....................#.....#..................#....#.............#.........................................#.........#..#.....#..........#.........##............................#......#..........#.#.................#...#.......#.......................##............#......#...........#................#....#...........#..#.....#....
...........#...............#............................##.....#.........#.......#..............#...............#.....##....................#................##............................#.....#...#.....#................#....#.............#...........#...................................#.............................##...............#..............#...#....#....##........#..............#..............#..........#.......#..#................##.#...#...................#.......#............#...#.....
...#......................#..#...........#..#..................#............#.#.....#........................................#....#..................##..................#............#.......#.#....#...#.......#................#......#.....#.....#..........#..#...##....#.#..................#....##......#.....#...............#.........##............#...........#.....#........#............#.#.....#...#........#...........#..........#..........#..........#..........#..#.......#...........#..........
..........#..............##................................#...........#..........#......##............#...................................#........#............#....#....#......#........#..#........##........#..........#................#.............#....#........#.....#..#.#....#......................#.#..#....................#.........#..#........#.......##..#.........#......................................................#...............#.......#....#.........................................
..........#...................#.....##................#..#............#.#..#.#.....................#...........#...#..#............#..............#..##...#.........#....#..........#...#......................#..#.................................#.....#..##............##..#...........................#........#.....###............#...........#...........#.................#..................#..##......................#....#.........................#.#...#...........#...........#...........#.........
...#....#.............................#.................#...............#............###.........#....#...................#....#........#..........#......#.#.......#.#.##...........##.#.........................#......#.#.........#................#.......................#..............#........#........#.............#........................#........#..................#.....#.##.#..............#...............#......#........................#...........................#.......#...........#....#..
..........#......##............#.#......#.......................................................#......#.#......#.##............#....................#........................#.#.#......................#............#........................#................#........#.....#...............#........#....#.................#.....#.....#......#.....#.#....#..#.....#.....................##.....#.................#........................................#............##.....#.......#.........#.....#.....#.
...#..#....#....#..........#............#..........#.......................#........................##............................#......#.#..............................#....#.......#...#...........##..........#..#......#.....#...........................#............#.....#......#..............#.#.........#........................#........#...................#........#.......................#...........................#............#....#...#......#......#........#....#....#.####................
......#.........#.................#....#..#...#.............#.##.......##........#.#..#.........#.....#..##...#....#.........#.........#.#....................#...................#...#...........#.............................................#.........###..#..........#....#.##.#...#....#...................#.......................#.#.......#..#........##...###.#.....##....##.................##....#......#...#....#.................#.......#....#.....#..#....#..#.....#......#....#....................
#...#.....#...#....#...................#......#................#.#..........#..#...........#........#....#...............#...............#..........#...........#.#..........#....##...#.#......#........#.....#....##...................#..#.........#....##......#....##.......#..##..#.#....#.........#............................................#....#......#..................#........#.....................#.....#.#.......#.......#.....................................#...##............................
.......#..............#.#...........#..#.....#....#.........#...............#.....##......#....................#...........#..........#.......#........#.................#..#..#.........#......................#........#..#..........#.........#.......#.....#......#..#....................#.#..................#.......#..#...................#...............................................#.............#.##..#............................#..#.........##.........#......................................##
........#.....#.......#.#...............#........#................#...........#....#..#...#...#................#............#......#............#............#..........#................#...............#....#..............#...............#............#.#...........#..#................#.......#.........#................#........#......#.....#....#.....#............#...............#..........#..................................#..............#.......................#...........................#.#...
........................#.....#.........#.........#.#..........................................................#...#...#....#..........#.#........#........#.........#...#..........#..........#................#.................#..#....................#.....#.........#...................###.#....#.#........#.#.........#.......#.............#........................................#......#................#.#....#............#.......................#...........#..........#.........#..........#......
#......................................#.#..............##.......#.........#......#......#..#............#.......................#....#..##...#..#....................................#..........##......#...#.....#..............#......#.....#.#.....................#............#..............#.............#...............#.............#..........................#.#...................#.......#......#....#............#...................#.................#........#......#.......#............#.......
.........#........##.....##.......#........................#...........#...............#......#.........#.................#....#..#.#.......................................#...#................................#.............#..##...................#...................#.................#...................................#.................................#.....................#..#....................##.........#....#.#...........#.......#....#.#.#.#...........#.....#........#..#..#..#..#...#......
......#....#....................#.................#....#............#...#....#..#.......#.....#......##...........##....#.................#....................#.#........#.#.............#.................#.#.........................#.#...#..........#..............#..........................#..#....##..#..........#..#....................#.........#..#.....#................#.......#.#..................#....#......#...#.................#.....#.........#.......#.....#............#...#..#.........#..
........#...................................#............#....#....................#..#....#.......#.....#...........#................#..................................................................................##...#.......#..........................#.................................#..#.....#...................................#...#........#...............##...............#..........#...............#....#.......#.............#...#.....#..............#.....#.....................##...#....#
........#..........#....#..#.#.........#...#...#......#.........#...................#....#......##......................##...##.#....#................#...............#.........#........#......#........................#.#..#..#...#.....##.#....#......................#.........#..#......#...........................#........................###....#.......#..#.....................#......................#...#...................................#.............#..............#...#..#.....................
.#.....##..........##.#............#..#....#...#.#..........#..............................#............#.........#.#..#.....#....#.#....#............#.........###.........................#......##.#...............................#.......#..#...........#....#...............##...............#..........................................................#.#.................................#.................#.....#.........#...#.............#.#.................................#....#...#............#...
..#...#.......................#................#.......#.............#.....................#.##.................#.#.............#...#..##..........................#.........#.......#...#......#......#....#.#.......#...........#............#........#..#............................................#..............#...........#...............#..............................#...#...#.#.#..........#.#...#....##.............##..............#.............#..................#...#....#......................
...#......................#...#.......#..............##..#..........#........#......#...............#...#.#.............#.......#.....#....#......#.......................#...........................##..#..#...#...........#.........####.#....#..#.#.#..........................##........#..........#......#..#........................#.................#.#........#...#.#..........................#.#.....#...........#....................#...........#.......#...............#...........#.........#.......
..........................#....#..#..........................................#...#..........#...#..#...#.......#...................#...........#...............#......#..#....................................#.....#..#..#..#.....##....#..#........#.................................#..................#..#......#.............#...#.......#..........................................#.#...#......#.................#..............#..#...#...................................#...#....................#.....#..
......##...........................#....................##...........................#......#.............#..#...........................#...........#......#.........#....#........................#........#...#............#.................................#........................#..#..........................#.#.......#...#....#.....#....................#......#.#......#....#..##.....#.....#..............#...................#.................#......#.#.##.#........##...........#..#......#.#..#.
..................#.....#.......#........#.....................#.....#.........#.#............##...#..........#..#.....................................#..............#.................#...#........#.#...#..#.#.....#.....#.#.........................................#................#.................#......#.#.#..............#...........#........#.#...........................#..........................#.............#.#...#..#..............#...............#.....##......#.....#..#........###..#.....
.##..#..........#..#......................#..........#.....#.......#.#..............#....#....#..#...#.#.............##....#...#.#............#......#..........##..........................#................................#.........................................##......#........#.....#............##......#.........#...........#.##.....##...#.........#....#..#.............##...#.................#......#.#.....................#.....................#........#............#...........#..#...........
.......#...............#..#.#............#......#....#...........#....#.........#.#........#...............................##..#.....................#........................#.....#......#..........#.....#................#...........#.......................#.................................................#...#............#..#...#.#.......#..................##..............#......#....................................###......##......##.#....#.....#...........#.......#............................
....................................................##..........................#......#...#..##...#.........................................................#..##....#....#........#.....#...#.#.............................#.....#........#.....................#....#........#.#.......##............#.......#..............#...............#.......#......#.....................#.....................#.....#.................#.......#....#..#...#.........................##....#..###..#....................
...##........#..#....#....................##...............#...#.#..............#............#.................#...#.................#....#...............#...#..............#................#...........#......#......................................#..#.#........#.#...............##.................##..............#...........#.......#.....#.............................................#...............#.#............#....................#............#.............##..............#.................
..#...........#................#..................................................#....................#......#.....#.........#.............................#....#............##..........#..#..##......#.......#........#........#......#..........#...#..#..#....#...........#........#...#...........#........................#...#..................#........................##......#....#........#...#....#............................#.....#....#..................#...........#.##........##.......#......#
.............#..............#.......................#.........#.#..#.....#...##...........#......#...#...............#.#..................#.....................................#..........................##................#........#....#...................#.#..................#.#.......#................................................#..................#.......#...#....##........#.##..#......#..............................#.....#.............#...#.#..........#.##.#.........#..........#.#....#....
...........#....##......#.......#............................................#........#.........#..#.#.....................###...................#.............#............#.......#.....#..#....#......#....#..#...............#.............................#.#.....#...................................#...........##...#..............#...#..#........................................#...#.#.....#.....................................#....#.......#..........#.#..#..........................#..........#...
..###........................#...................#.##................#............#.............................................#.........#...##......#.#.....................#...#...........#....#..........#..............#............#..............................#....................#...##......###.#...........#......#....#..#....#.#..#...............#..................#...#.#............##.#....#........................#.......#...#..........#...........#..........#......#....................
..........#...#..#.......#..............#...##.......#...#.......#..#....#.........................#.............#.#..........#..#.....#...............#......#........#...................#.#...........###................................#....#......#.......................#.....................#..#......................#...#.....##.....................................#...#.......#...#......#........#....................#.....#.#.#..#..............................#...#....#........................
..##...........#.............#.............#...................##.....#........#...................................................#.#.....##................#............#.....#..................##........#................#................#............#......#.....#.....#..........#...................#......##...#............#...........................#......#...#............................#.............................#..........................#.#................................#...##...#...
....................#....##.......#...#.....#.........#............#.......................#..............................#..#....#.............#.................#......................#..............#.#......##........................#.............................#.#.#..#.................#............#.#............##..............................#...............##.........................#.##...#...................................#.....................#.#.......#.........#.#.....#....#........
##....................##.....................#.....#..........#....#....#.....................#..#..#...........#....##..................#..#....#...#....#...........#....#.....#.........................#........#.....#...........#...........#..#............#..#.................#...............##...................#........................................#..........#......#........#...................#.#.......................#.....#........#..........#......#...........#............#..........#
.#.##.............#......###..................#.#.......##.#..........#...................#..............#.........#.#.#...................#..........#.............#......#....#....................#..#.............#..#.......................................#.........#......#.................................................................##..............#..#....#.......#....#.#..........#.....#....#..#..................#..........#..#.#......................#.#.#....#...#...............#....#.#.
.......................#.#.........................#..........##......##........#..#................#.............#..................................##..................#..................#..........#........#..#...............#..#.#....#.......#..........................#......................#.............#........#...........#..#.#................#....#..#.....#.........#................#...............###.###...............#.......#....#....#................................................#.
.#..............#........................................#........#............#...............#............#...#.......##......#..............#..................#........#....#..........................#....................##.......................#.........#.......#.....#........#...................#.....#...................................#.....#.............#....#.....#..................#.................#..##..........#.....#.......#......#..................#.........#...#...#.......#.#....
..........#....#..................#..........#..#....#..............#....##.#....#.................#........#..........#.......#..#......................#...#...#.#....#......#.....#..#......#..###........#......#..#........................................#......#..........#.......#.#.....#.#.....#.##..........#........#......................#....#.......#........#................#........#......#....#......#.#...............#...................................#.#..#...........#......#..........
.....#..........#..............##.#...........#.....#......#.....##........#........#........#.....#...#..#.........#........#.#.................#.....##.......#....................#.............................##.................#..........#.#....#..#...##....###.......#..............................#..#.#.....#....#.............#...........#...#......................##.#......#......#.........##.............#...#.....#......................#................#................#..#..#.............
........#..................#......#..#..............##....#.................#..#....#....................#..........#..........#......#.#.....#......#.....................#....#......#.........#.............#....#....................#........#............#...............................#....................#.................#.............................#...............#...#...#..........#..................#...........#........#....#..#..#..............#..............#......#........#.....#.....
....##....#..................#...#............##................................#..............#.....................#.............#..............#......#..................#.........................#.....#..#.............#...#.....#...#..................................#.#......#.......#......................#.........#........#.....................#..........#.....##....#..#.......................................##.................#......#.#......................................................
.#...........#...#.................#.#.#.................................#.#.................#.#...................#..................#..#................#........#..#.......#.......................#.#...##...................................#...............................#.....#...#..........#........#........##.....................#............#....#...........................##..#.........#......................#.......#........##.#.........#....#..............................#...........#...
..............#...#................................#................#.#...............##........................#.#........................................#..................#....#.#.....#.....#.................#..#.........#..#................#.................................##..#....#..............#.........#.#........#..#.........#...............#...#................#..........#.............#............#..#.#.............#.............#.#...#...........#.....................#.........#.....
......#....#.....#.....#.........#.....#............#....##...........#..#.........#....#....#..#.....#........#.#.#.....#.........#............#.#.....#.......................#........#......#.....#...##...#.#.....##.......#.............................##.............#......#........#.........#..........#.........#..#.....##............#............#..#...........#.....#.............#.............#..#......................#.........#...........................#...#....#.........................
............#...#...........................#..................#.#.............#......#.....#..#......#..........................#............##...............###..##.........................#...#....#.......#..#...........##.#......#.#........................#.........##............#..#.#...............................#.........#....#..#....#....#.........#..........#............................................#............#.................#....##....#.#...##.......#.................#.........
#..........#...#....................................####................#..........#....#.............#...#.#................#................................#...#..#......#...........#....#....#.................###...................................#....#.............................#........#.......#..##.......#................##............................##.....................#.......#......#...#................#...#...#......#.#..#......##...#.....#..........#..........................#..#
........##....#............#.#.......#.#.....................#.#..#......#......##.#..#...............................................#...#............#..................#..................................#....#......#...#.....#.#........#.....................#.......................#...........##...............#......#........#....#.#.......#.........#.......#...........#..#....#.......#..#..#...##..#.....##.......................................#.#........#....##..................#....#.......
..#..............#....#......#..................#........#........#.#............#...............#.................#.............................##.#..................#.....#...#..............#..........#.............#....#.#......#..#..#...#....................##......##........#...........#...............................#...........................#.##...#.............#....##..#.......#.............#...........#.......#.#...................#.............#..#........................##....#.....
.#.#....##..#...........................##.......#...#...........#..........#........#.............#...................#.........#...............#..........#..........#..........#...................................................#.....#..###.................................#......#........#.........#..#.......#.................................#.......#..................#...........#..........#........#...................#...........#......##......#......................#...#.....#.#.......#....
.##....#...........#.........#.#.............#............#............................#...##.....#..................................................#...#...##.................#..........#.......#......................................#..#........#.............#..................................#.....#..........................#.....#..........#...#............................#.#..#......................................................#.#......##..............#..............#.....#..#............
#..........................#......#............#....#...............#.#...##.....#.....#........#..#.........#.....#....#.#.....#.....#..................................#......#...................#.........#..#........#..........#............#.......#.......#..#.........##.....#....#............#.........#..#.......#....#..#...........#.........#...........#...................#.#........##....................#...#...........#..#............#.....##........##...#................#....#.......#....
...............................................#.#.#...........#.........#....................#.....................#.....#....#......#..........#..#.#......................#......#..........................................#..........................................#..#.........#...........##..#......##..#......#......#...#...........#...............#...#................#...#...#........................#..........#..##.....#.....##.......#.............###............#............................
....#...............#........................#....#..............#........#............#...................................#..........#......#..#...##..#.#.......#....#.##...........#...............#.......#...........................#.................#.........##........##.............#...#....#..........#.............#.............#.#...#.....#..................#.#...................#..........#......#......#....#.................#..#....#..#.........#....#.........#.....#.......#..........#..
.....#.......#..#...#...#............#.......#...........#......##.....#....#................#.....#......#.................................#.....##..##..#..................#.......#....#..............#..#.....#....#........#.#..#..............#......#...#.......................#.#...........#...........#..#..................#....#........#..##...#....#............#..........#............................#...#.......#...#.......#.#.....................#.#....#..................#.........#........
.......#..#.#.............#.....................................#....#.#...#...........#...#.#...#...........#.........................#..........#.....#..........................#....#.#..#..........#...........................#.........#.............#....#.#....................#..........#..........#..#....#............#...........#....#........................#...#......#..........#.#.....#.....##......#............................#.......#.....#............#.............#....................
.#...#....#........................#..#...............#..........#......................#.#.................#..................#...........................#..........#..#..........#..........................#..............##.............#........#.....#..............#..........#..............#...............#.......#...........#......................#..........#.......#...............#..##.....#......#...............#......................#..................#.................................#...
...................#.#........#.#......#...........#..................#....#.....................#.............................#......#.........#.......#...#........................#..........#.....#...#..#..........###.....#.....#...............#..............................#.................#..#..#....#.............#.....#..#............#......#.......#...#................................#.......#.....#..........##....................#..............#...#.......#....#....#.#...................
.#........................#...................................#.............#.......#....##...............##...............................................#...............##.................#........................#..........#.....#.........#.........#......#....#........#.#............#...#............##........#.............#.#..........##.............##.......#............#.....#..............................................#..#......#..........#.#.......................................#....
.#.....#...#...........#.#........#...#..#.............#.......................................#..#.........................#.#......#......#.....#...#.....#..........#...#.#......##........#........#......##........#.....#................................##.......#............................#.........#...........##..##.....#........#...#..#....#.............##........#.....#.#..#..#.......#...........#....#................#.......##...#................................#...............#..........
........#....................................#...........#.............##........##..#.......#.........#.#...........#..#..........#.....#.....#.....#.............#...............#.............#......##........#.#......#................##....#..........###.....#...#........#.#.............#.#.#................#.#...#.................#.........#......#.......#........................##.#................#....#......#........#..................#.........#.....#.......#.....#.........#..............
#...#.#..........#.......#.#..#.#............#..#.#.....#..#..#..............#....#.............#..................................................#..#.#...#.###........................###..#............................#......#............#.#..............#.......#.........#..................#....#............................................#...#.#............................#......##............#.....#.#............#.......#.........#..#.......#..........#...............................#......#
...#.#...........#..........#.......................#........#...............#.#........#....#.....................#.....................#.#.......##.......................#.#...............#.##.#........#........................#..............#..........#.................#...............#.....#......#..................#...............#....#..#....#.#...#.....#........#..............#.............................................#.......#............#............#.#....#...#...............##.....
...........#...#..............................#.#.......#...............................#.....#........#......#.#....#......#.............#.##..#.#.....#............##....#........#............#....##....#..............#......#..#.......#............#.#...........................##..........#.................#...............###..#.....................#......#.#.....#.....#.....#.................................#.............#.............#.........#..#.....................#....#..#..............
#.#.................#........................#.#........................#................#...#....................#.#.....#..#............#.......#..#..........##.......................##...............................#.....#....#................#.....#.......#....#..................................#.......#..................#.#.................#..............#..........................#...................#.............#.#.......#...#.......#......#.......#....#...#......#..............#........
.......#........................##.#..........................#.....................#.......#.....................#....#...........#.......#.................#...#....#.....#............#..............................#............................#......#....#................#...#...#......#..............................#......#...................#....#....................#....................................................###.....#.....#..................##....#..#.......................#....#.#
....#...........#.........#........#..................#........##......#.................#..........#..#..............#........#.......................#...#.................#...#..#...#.........#...............#................#..##......#.#...........#...................#................................#.............#.#................#..#...............#.............#....#........##.........#.........................#...........#.....#.#..........#..........#.#..#...#............#............#
........#....#.#..#......#..#...............................................................................##..................##.........##.......#.........#...............#...........#......#....#...............#..........#..#..#......#................#........#...........#.#....#.#......#.........#..............#...#....................#........#..#......................#...#.#.............##...#..........#.#...#......................#...............#............#..#............#......#.....
...............#...........####........#.......#...##.....#........#........#.........#.......#.......#.....#..........................................#..............#.#....#..........#...........#...........#.......................#.....#......#...#......#..##....#....#......................................#................##...........#....#.....#..................#......#....#...#.......#..#...##.............##..........................#...........#......#.#...#.....#.....#.............#.....
............................................................................##.#......#......#.#......................#..#.#..#...........#....#.........#..#....#.............#..........#....#..#.....................#...........#.....#.#..#............#.............#........#.#.............#....#..........##......#..#.....##................#.............##.....................#............#....#..#..........#......#.#......................#..##..#.#...................#........#..................
.#.....................#....#............#..#.....#.......................#...............................#...#...................#.....#.......#......##..............#..#.......##............#............#.....#.....#.................#....##........................................................#...................................#........#..#.#.#....................................##.........#..............#.#..........#.#.##.....#......##................#.............#....#..#..#............
........................#....#...........#..............##.....#.........#...............#.....#..............................#........#................#........#...#.................#.............#...........#...............................................................................................................#.#...#.............#..#......#....#...........#.........#...........................#.............#.......#...............##..#........#..#......#........#.........#...#...#.....
......#....#.........#.....#.........................#.............#..#...............#.#...#...............#.........#....#..........#.............................#..#............##.......#.....#....................#..#........#.............................................#.##...................#....#..#........#.........#.#.#.....................#...........##.....#..#.#...#........#........#..#.#........#..........##..#..............................#....#...#.............................#....
#......#.#.#..#........................#......##...#...........#...#.......#.#....................#..................#...#...........................................#.#.........#................#...#..................#..#.......#..#......####....................#..........#...##.#..............................#.#...................##.#.......#.....#....#...........##...#.....#................#...#.....................#...........#.............#..........#......#.......#.....#....................
....#....................#............#............#............#...#....#....#..........###..................#..#.......................#......#.#............#..............................#.........................................#...............#.#...#............#.......#....#...........#................#..#..........#......#.#....................#..#..#....#...........................................................#.#......#.........#......................##................................
................#.....#.........#.........#......#.......#..............#......................#....#........#.................#....#.........##..#.........................#....#..........#................#....#...........#.............#.....#...............#...#.........................#.......#.#....#.................#..#...#.#...#............#.........#..#.#......###.............#..#.....#...............#..#................#..............#.#....................#...........#........#..#.#.....
...#..........#.............#........................#...........#......#.........#.#...........#..#...............................#..........#.......#..........#.......#..........#................##..........#............................#............#.........#..........##..#....#......##.........................................#..#..#......#...............#....#............#...........................#.#.....#.#........................#............#....#..#..............#...#...#...#..#.....#.
..............#..........#..........##..........#....#..............#.###..#.#.............#..#....#...#.#.#.........#..#........#.........#.............#.....#...............#.#............#.......................#...#..#....#..............#...#........#...............................#.........................#...###...............#.............................................#.....................#......#...........................#.........................#.#..#......#........................
....#..#......#....#.................................#.......#...................#.##......#....................#................#................#........#.........#......#.....#.........#..................#....#..............#....#.#.............#..........#....#........#....................................#..................#.........#.........#...#...................#................##..........#...........#....#.........##.....#..............#......#...............#...........#.............
.....#.....#....###.....#....................#.......................#...#............................................#...................................................#...............................#......................#.....##........#.#...#..#.....#.....#.#............#...#.....#..............#....#..#.....#.....................#.....#......................#.......#............##..#........#.....................#.......#..#......#............#....#.......#...........................#....
.....#...#........#.............#.....#..#.#....#.................#....#.........#.........#............#.......#.....................................#.............#..................#....#....#..............#.#....................#.........#....#.......#...#.....................#...............#..#......#....#......#..................#..#.............#..#.#...#...............##.....#....#.#.......#........##.#.#....#...#...........#..........#.......#....................#...##............#.....
.............#.......#.....#............................#...........................................................................##................#.....#............................................#.....................#..#.....#.........#......#...........#.#........................#...............#..............#.......................#..#..#.#.#.#.............#.#..#..#...........#.....................#..........#.........................#...#........###....#...##...#.........#.....#......
.#..#..........#........#.......#.......##.......#.........#........##....#.....#.#...............................#.......#..........##........#.......#............#.#......#...#..............#.##...........#.#.................#..............#..#.....#.#.......#..#...........#.......#...........#......................#.....................#...#.##..........#....#..................#......................#....#....................#...............#..#.......#...#...#....#...................#.......
.#..........#........................#...#.........#......#.#...#..........#......#....#......#.............#.........#....#....................#.................#...#...................#....##.#....#...........................#....#.............#.#..#..........#.....#........#...............#...............#..........#..........#......................#................#..##.........##..........#....#.............................#............#........#....#.#...........#..........................
.......#......#.#..............#..................#..................................#............#........#.......#...........#...............#..#..........#........................#......................#...#..................#............................#...........#...#..##..###.....#............#.#..................#.........#................#.#......#........#....#.........................##.....#...#....#.........#.....................##...............#.#...#........##.#..#.........#.....
.......#....#..#.......#..............#.................................................#........#............#.............#.............#.....#............#.#...#.......#............#................#....#..................................##...............#.......#....#.#................................................#...............#......#...................#....#.................#................#......#.......#..#.......#..#..............#...........#..#...#......................#........
.................#..#..........#....#.....#...............#.............##...#.............##.......#..............#....#.#................#........#.#..#.......#..........#........................#.............#...#.....................................#....................#................##....##...#.......#.........##..#..............#...................................#......#....#......#.........#......##.....#...#.#..............#...#...#.................................................#..
..#....#..........#......................#...#..#..#..#.....#...#...#...........##..........#...##.....#......................#.....................#....#........#......#.#...#.............#...........#.........................#.....#...#....#........#.#.#........#.............#.........................#...............................#....#.#............#.....#...#...............#......................................#..............#..#.........#........#..#.........................#.#..........
....#........#..................#...........#....#....#......##..#.....#.........................................##....#...........................#...................#...#.....................#........#..................###.............#..#...###..#.........#.........#........##........#........#............................#............#.......#......#......##..#...#.#.........................#......#..............#.....#.............................#.....................#...........#..........
..#...#.....#.......#.....#.#...........##.............#.......#.#...........#.....#...............#........................#.#..............................##.S#...........................................#..................#......#..................#.........##..........................#.........#.........#..........#..........#.#.........#........#.......#..........##.......#...##......#.#.....#..#.#..#...........#.....#....................................#....#......#.........................
.#...............#......#..................#.##......................#...........#......#............#...........#..............#...#............................#.....#.............#...#.........................................#........##....#...#..............##...#.#.#......#...#...........#.....#....#.....#.......#........#.....#.#....#...#...........#...............#....#............#..............#........#..........#...................................................#..............#..#....
.....#....#................#.....#.................#..#..........#..........#................#...#...................................#..............#.....#.................#.........#..#...............#..#...#...#...#..........#......#.........#........#................#......#.......#..#.........##......#...#..#.........##.........#.......................#.#......................#................#.#..........................#...............#...............................#............##.##....#
#...#..........#.......#...#..#.........................##.............#.#....#............................##...........#.......#.....#.........................................#..................#..#....#...........###...#.#............#...#......#............#........#......#..........##....#....#..##........................#...#.........##.#...##..#.......................#............#.........#.........#..............................#....#..............#......#............#...............#..#
#.............#..................................#..............#..........##..#..#.........#..#...#.....................#....#..#.................#.......#.................#..........#..#................#........#..............................#..........#....#..#..........#............#...#...#.........#...................................................#.........#.#.#.........................#.....#.....#.....##..#...........................#....##....................#.....#...................
..#.......................#......#....#..#.....#.#..#...#......#....................................................#.......................#.##......#.......#..........#...............#...........#........#.#.#.......##.#........#...#..#.......#..........#.#..#..........#.....#.......#...#.....##.#...#..#......#.....#.#..........#.....#..........................#..#......................................#.....#................#.............#.........#............................##..........#.#..
......#.......#.....#.#...................#..........#......#.#..................#............#............#.......................#.#...............#....#..................#.........#.......#..........#.........#..#...........#...............................#........#.#.....#...#.#....#..#....#.#.............#.........#....#.............................#...................................#..........#.........#...............#....#...................#.....#..........#..........##................
.....#...........................#................................#.................#...#............#...#................#...#............#.##................#......#...#.#.#...#...................#.#....#...#.......#.#.................#....................##.........#...............#....#..##.......#..#..#............#.#...................#.....#.........#...............#...........#....................................#.....#......#....##....##...................#..............#...#..........#
............................#....#........#......#...................#..#....#.............#...................#...........#..##.#..#.#......##.............##.............#.........#.........#........#.........#...................#.....#.................#.#...........#.............#.#.......#.........#...........#.........#............#...........#.....................##...............................#........................###...........#...............#......#.....#.#.........................
..........#...##.....#........#....#........#.......#........#................................#................................#................................##..........#........#.##.......#.#...#...................................#.#....#............#..........#...........#................#.#......#........#........................#.#.............#..........#.....##.................................................#...................##....#................#..........#......#.#.#.............
..#......#..#...............#..................#...#...#..........#....#.#..............#..#................#...#...#..................#...............#...#......#.#..#......................................#.#.........#..................#...#...........#..........................#...#......#.....###......#................#....#............#...#.#............#.#.......................#..##...............##..#..................#.....................................#................................
..#...............#...#...#......#.#..............#....#............#........#.#.#..#....................#..#....................#.............#.#.#....#.#................#................#.........#..........#.........#...........#........#.......#..#.#....#......#.##..........#..........#....#.......#..#..#............#..........#.......#.#...................##...............#..#................#..#.#.....#..........#......#..............................##..#.........#.......#..............#..
................#.....#..##.##..#...........#...................#..###...........#.........#....#..........#............#......#.....#...........#...#.......#...###............#......#....#.....#.................#..........#.....#.#................#.................#..............#.#......#.........#....#.......#...#...........................#.........##...........##........................#..........#....#............#......#...#.................#....................#.#......#.................
...#..............#............#...........#.#..#....#................#........#.........#.........#............#.........................#.#.......#......#.....#.......................#.....................##.#..........................#...........#.......#..#...#......##...#..........#.......................#..........#........#............................#....#............#...........................#...#....#.....#........#..............................#...##..........#.##...................
........#..#........#......#...................................#..................#...##..##......#...........##....#...........#...#..#.............................#.....#..#....#..#.......................................#.......#.#.................##...#..#...................#.......#........#..............#.......#...#..................#....#...#..................#.................#.......#............#................###....#.....................#.#.............#.........##..................
....................................#...#.....#....#.....................#......#.#.#...........................#.#...#..............#..................#.......#...#....#......#...............#.....#.................#.#...........#.......#......##.#...........##......#.........................#.........#..#...........#...#......#..#....................##...#............#......#..................#....................#..#...............#...##.#.#.....#...#.#.............#..##.#....................
............#......#........#...........................#...#.........##.#.....##..#..#................................#.#.........#.....................#....#..#...#.........#........####........................#.....#......#........#..#.......#...#.#....#..................##......#................#..#....................#.........#..........#............................#.#.......#...................#........#....................#............##...........#..##............................#.#....
##............#..........#...................#...................#.....................#.......#.....#....#................#..................#........#..............##..#......#...............#....#..#.........#.#....#..#.#.............#...#.#.#......##....#....................#..#..................#..##...#.#.........#.........##..##................#......#.#...............#.....#....................................#.........................#..#......................#...........##........#.#..
.#...........................................#.#.##................#..........#..#..........#.#........#.....................#.............................#.....#...#......#......#......................#.........#.................#....#...........#....#.........#.........#.......#.......#.#...........................#.....#..................#........................#...........#...........#.........#...........##..#.......#................#..#.......................................#...#.........
...................#........#..#................#....................##.........................#...........#....#...............................#...............#..#.........#..................##....#...#........#....##.#.......#.....#......#....#....#........#...#.......#...............#..................#.........#............#......#......................#............#.....###...#..................#......#......................#.............#..#.............#......#.#..#....#...............#.
..#..............#...............................##.....#......#..........#...#.........#.....#................................#..............#..........#..........#.......#..#.........#.....##...................#.....#.....#................#..#..#.......#.....#.......#...........#.................#.........##.........#......#....................................#.#..#............#..#....#......................................#.#..................................#......#.......#...#.#.......##...
.....#...................#...........#...##.......#.#...........#................................................#.........#.....#..............#...#........#.....#.....#..........#..#..#........#..........................#.........................##............#..#......#..#.................#.......#.........#......#.........#.....#.......#.................#............#.......#.............................#...........#.............#.........##......#.......#........#...........#.............#.
....................#......##..#....##............#......#....#.........#.......#......#....#.................#..........##...........#.......#.....##.............#....#.........#..................#..#..#............#...........#.................#....#....................#................#...............##........#..........##.............##................#..............#................#..#............#.......#..#........#..........#............#......#..#....#................#................
...#.#.......#..#.#.............#......#.....##..#............#......#.#........#..#.##.#...#....#...#..........#.........#...#............#........#.#.....................#.......#........#...............#...........#...#.#.........#.......##.............................#....#.......#........#....#...#............#........#..................................#......##.#......#.........#....................#.....#.......#.#..#........#....#.............#...#.....................#.#....#.........#.
.................#........#.....................#....#........##......................................#.#.....#....#.............#......#........................#..........##............................#........#.................#....#...................#....#....#......................................#.........#..#..............##...........#...#.............#......................#....#.#.........#.........##...#..........##.............#.#...#...........#....................#.........##......
................##..#...#........#.....#.............#....##........##....................................#.#...........#.............##........#.....#.....#....#.......#...........#.....#.#....#....#.........#...............#...#...............#........................#..........................#.......#.............#..#.......................#.#...........#...........#....#...#.....................#....#...........................#......#.......................##.....#...##..............##....
.#...........#.....##......#.....#...................##............#................................#..#..........#....#...#.................#..........................#...#........#...........#.#...#...................#.......#......#...##.........#......#.#.......#....#...#..#.....................#.................#.......#......#.#..............#.#................#....................#.#....................##.........................#..............#....#.........#..#.#........................
.#...#...#..#......#..................#....#........#.......#........#.......................................#.....#......#..............#.....#........#.........#..........................#..........................................................#.##..........#....#.........#...#.....#..............#..#..#......................#.....#......#..##.....#...........................#......#....##.....#...........#............#.............#.....#....#...............#.....#.#........#...............
.....##.......#........#......#.......#...........#............................#....#.....#...#......................#..................##...................#.....#....#.........#..................................#................#.#....#..............#..#.........#...................#.#....#........................#...................#....#...................#.#......#..#....#...........#.....#...........#............#..#..#...#..............#...#....#.............#.#..#....#................#..
.......##.......#......##..........#.........##........................................##............#....#..................#...#.....#.....................................#...................#..................#...........#.....#..........................##.........#.........#........#........#....#...#..........##........................#......#...#...#...............#..#....................#.......#..................#...#.....##.#................................#.............................
.............#.#............#............#.....#.....................#............................#.....##.........#.#.#...#..#...#.........#....#.............##........#.#...........................#............#..#.#............................#...........#......#.....................#.......#........#.........#..................#..............#....................#..........#........................................#........#..........#.#....................#................#................#.
.#.................................##..#..#.#...........................#.......#...............#...............#..#...#..............#...#.............#................#.........#..................#.#...............#...................#.....................#....##..#......#.#........#....#.#.....#.........#.#.........#........#.#...........#...........................#....#..........#.#....................#...#....#....##...............#........#...#......#..........#....#.#..#....#.......#.#..
................................#....................#...#......##..#..............#.#..##...#.............#...#.......#........#.......#..#..............#............#.#..............................#...........##..#.............................#..#.#...#.........#......#......#..............#...................................##...........#.#...#.....................................#.....##...........#...............#..........................##..............##......#..........................
#.....#.....#..#....#......#.............................#...............................#.............#...#...#......#.........#...........#..#.#...#..........................##.......#..................##...#.............#..#.....#.......................##........#....#............#....#.......................#............##...#................#.................#......#......................#...................#..........................#.#..#..#..............#..#....................##.#......
..#........#.......#.......#..#......#....................#.......................#......#.................#.............................##.........#.....................##.#....................................#...##.........#..................#....................................#..............##.......#.#...##...........#..#...#...##.....##.#........#..................#........#............#.....................#......#.......#.......#......#....#...#.#...#...#..#.............#.........#......
.......#..........#.......##...#.....##.......#..............#...####...................#.....#..................#.##..................................#...#.......#...#......##....#.........#.....#..........................................#.#.................#.................................#...............................#.........#.#.................#......#..#......#...........................................#........#.....#........#..#...#....................................................
...............#......................#......#.......#..#...#...........#....#................#....#................#......#........................#.......................#.....##...............#.#................#.#......#.#......#..........#...................#..#.#............#.........#..............#...............#....................#..#..........#..........#...#............#.......#.....#....##........#...#.#.......................................##..#...........#...........#.#.........
#....#................#........#....................#.#............#....##.......#..##...................#....#..........#.........#....#.....#........#.#.#.......#.#..........#.............#.....#.#.......#.........#...#..#..................#.....#............#...............#........#.#............##......#....................................#...#..#....#.#......#....#.....#......##...............#....##.#.............#..........##.##.....#................................#....................#
...#....##......#..#.#.##...........#....#.#.....................#......##.................................#.#............#...............................#......#.......#..#......#.......##..................#...........#........#.............#.......##.........#..........#.#......................................................#.....#.............#..#.........#....##....#.........#......#.#...#..........#...###............#...#.......#.......#...................#...............................#.
.....................#..#....#........#........#..............#..#...#...#.#.............#.............#..........#..........#....#......#....#.##....#...#........#..#........#............#.........#...................#........#.#.#.#....................#.......#...#.....#...........#.......#.............#.....#.....#......#...#..............#.....................##....#...#......#.............#....#...............#...................#.#...................#.#....#...#...#.......................#
....#......#........#..#..#....#..............#......................#..#...#..#.................#......................................#.....#.....#.........#.....#..........#..........#.#..#..#............###......#..............#.....#.#........###...............#..............#...................#.....#...........##..........................................#....#..#.....#.................#.........#.....#.....#..#.#...................................#......#.............#.#......#..........#
#.....#...#...................................#.....#...#................................#..#..............#...#........#.........................#.......#...#................#............#.......#....#..#..............................#..........#.........#..#....#..#...............#..............#.......#...#..........##..#..#....#....#..#.....#.............#.....#.......#........#..#..#...#......#...............................##........#..#...#.#.............#.#......#.....#.....#....#.......
...#..#......##........#.................#..#..........#......#.................#..#..............#..................##.........#...#......#..##....##........................................................#.......#................................#...................#........#.........#....#.........#.....##........#.............##.................#...............................#.##.............#.#......#......................##..................................#..........#...#........#...#....
................#...................#............#........#.......#.....................#..#......#...........##..#...........#...#............#.#.........#..............#.....................................#..........#............#............#.............#..................................#....#....#.#.#.#..#......#..#.....#........#..#.....#..........#...........#..........................#......#.#........#..........#.............................#....................##........#.......#....
........##.##....#..#.....#..#.#..........#.#..........#...#.##.............#.###.....................##..#.........#........#........#...........................................#...#.#.........#...................#...#.........#.......#......#...#................#.##.....#.#...................#....#............#.#....#.........#.............##........#............#.............#........#..........#........................#..##..................#..............#...#...............##..............
......#..................#..................#...........#.....#.......#..#..........#.....#...#.................#.....#.........#...#....#....#..##........#...#.#...............#..........#....#.....#.........#..............#............#.........#.#.....##..#..#....#.........#...................................#............#.......#.........................................#...#...................#.........##.........#.#.......#.............................#..#....#............................#.
....#..##.....................................#...................#........#.........................................................#...............#.....................................#.#......#................#........###..#....##.....#..................#.....#.......................................#............#........#..........................#.#..................#........#......#..#.........#.........##.....#..............#.#.........#.#...#................................###...........
...........................##....#........................#...#........#..#....#.....#..........#...............#.................#................#...#..........#..........................#..........#.......#...................#.............#................#............#.......#......#.............#...........#...........#.....#...........##............#...............................#......................................#.....#.#.#...#.....#..................##........................#......
.#.............###....#.............#......#.........#..#..................#.....#.....#...#.................#....................#............#.............#.........###...........#...................#......#....#............................................#..#.......##.....#...........#.....#................#................#.................#......................#....#.....#........#.................#...............#.....#.........#...##........................##............#...###.......#..
...#.....#....#.........#.......#...................#....#.........#.#....#.#..#............#..................#.#.#.....#............#......#....#..........#....##....#...........#.....#......#...............#.......##..........#.#..#....................#..#.##.#.........#.#...............................#.....##...#........#..........#.#........#..#..#.....................#.#....#.................#........................#..#...#...........#.........................#.#...........#.............
......#..#.......................#...#......##...........#..#......#......##........#...........#...#.....#..#......................................#...#...#............#.....#..#...........#........................##............#.............#.#...............#......#...........#........................#.......#..........................................#..............#...#........#..#.......#........#...................#...................#..#.......#......#.........#..#........#............#..
##......................................#..................#...........#.....................#.....#.........................#...#........##..........#.......................#........#...#....#...............#....#......#........#......#...#.......#..#....#................#.....#..............#...................#......#....#.........#.......#.....#......#....................#..............#...#............#.....#...........#......#...#..........#...................#.#..##...#...................
......#......#..................#............#...........#.....................#.............#..........#.#..........#...................................##.............................#.....##.....#..#..#......#..........................#........#..............................#.................#......#...................................#......#.....#........#....#........#.........#..#...#............#.#..#...................#...#..#...#.......##.............#....#.....#......##..#.....##....#..
............##..........##..........#.........##...................#.#..................#...........#.......#..##.....#.......##...............#...#........##.#.............#.#....................#.#..#..............................#.................................#...........................#....#.....#..........#.#........#...........#......................#.#....##......................##....#......##.....#......##...........#...................#......#..........#.....#.........#........#...
.......................#..##............#..........#................#.............................#.......#...........#...............##...................##..........................#................................##..#..#....#....#...........#..........#........#.........#...#.............##..##...#..#..#......#.#..........................................#....#..#.....##....................#.#...#.#....................#..#...............#.....................#...#..................#..........
.............#.....#.............#.......#...#..##...#.........#............#..#.#..................#..............................##.....................#.........#.....#........##.##......##............#.......................................#.#...#...................#........#............#...#.......#...............#..##..#..#..#.#...........#.....##.......#..##......................#........#.............#....#........#...##......................................#.#....#.............#........
..........#.....#..#............#.......#...#..............................#.....##.............#..............................#..#.#..#..............#.......#................#..#.......#...#.#..........#..#............#.#..................................#..............#.........#.....#.........#............#...#...#......#..........................#.#...##.#..............#........##.#........#..................#................#.....#..#......#...............................#..................
........#...................#......#.......................#......#.........#.#.....#.......##....#.....................#.....##.#.#.#....#....#..#...#...................#................#...................#.#...........#.......................#...................#....#........#....#.......##...............#............#...#..................##.#..................#.........#........................#.#..#......#...............#.#................#......#....#..........#..................#........
..........#.#..........#....##.........#.....#.#...............................................................#...........#.....##..........#..#..........#..........#...............#...............#................#............#..........#..#.#........#.#.....#......#........................#....#.......##...#....................................#.#.....#.......#.................#....#............#..........#.......#.#............#....#..............#...........#.........#.......#...............
...........#......#...#.........#..#.#.....#..#......#........#..#.#.........#.#.......................................................##.......#..........#...............#....#........#............##..#...#..........#...#.......#...................................#........#....#...........#..............#................#......#.....#.#......#.......#.............#..................#.........##.....#.............#..##.....#....................#.#...#...#........#.##........#....................
............#.#......#.....#.#.........#............#...................#.......#......#....................#...#..#.....#.#.........###......#.#............#....#.....................##......#.......#......#.............#.............................#....#........#.....#...............#..#.................................#.......#............#..........#..........##.............#.....#........................#.....#....................#..#...#.................#........................##...#....
.............#.#................................#............##..........#..........................#......#.......#............#...#............................#.#......##..................#.............#.#..............##....................#..#.............#....................#...#...........##........#..............................#....................#...#.....#........#.......#.............................#............#.##.....#..........................#.........#........................
.##....#.#..###.......#..........#........#................#......#......#..#..................#....##............#.....#.#....#.......................#.#........##........#...........##....#.##......#.................#...........#....#.#....#.............................#........#.......##.....#.....#...#..#..#................#.....#..........#.....#.....#...............#...#.................#............................................................#.....##.#......................#.....#....
.......................#.................#......#....#..#...........#...................#..................................#..........#.......#................................#.#.....#............#..#.....#.................#.....#.......#....................................................#..................#.....#.............#.....#.........#.#......#........#...#.#.#....#..........#..........#......#.#......##...........#.........#..#...#........#....#.......##....................#...........
......#................#...........#.......#........#....................#..........#.....#......##..........#.....................#....##...#...................#...........................................#...........#............................................................................#.....##................................#.................#...............#...#..........#..............#.........#....#............#............##..#.......#...##..#......................#.................
.........#.#...#......#..................................#...................##.....#........#........................#.#.....#.............#..#........#......................#..................#............#....#...#........#..#.....#...............#.....#........................#...........#...#.#..........#....#..#.................#..................#.............#..#......#...............#..#.........#.......##.#.................#...#......................#.............#.....#.....##........
...............#.#........#.#.#..........#..............#.....#................#......#...#.##.#..#..#....#..#.....##..#...................#.#..#......#..#.......................#........#.#.#..................#..#........#...................................#.......#.......................#....................#...#...........##........#........#.........#.....#...................##...................#.....#.#..............#.#...#..................#..#........................................#....
....#..........##.........#...................................#..........#.........#.....#.........#..#.#.......................................#........#.#....#.#..........##.......#....................#.....#.......#...#.###.#...............#...#....#.....#..................................#....#...#.#.........................#...........#..#..............................................#...#..#...##...................#...#...........#.....#...................###............#..................
..#.......#...##...#..........................#.............#................#...................#...........................#........#......##......#..............#.....#.#...#.#....#..........#............#......#........................###.......................#..............#..#..............#.......#.#..#.............#.....#........#..............#...............#............#................#...#..#.......#...#...#.#..........................#..#.....####..................................
....#...........##.........#..........#....#..............................................#.......#...............#...........#...#...#......#....#..#......#.#....................##...#.................#.................................................#..................#.........#...#...........#..#.#..........##...#...............##........#.#..........#...#.......................................#.....#.#.....##.#......#.#......#........................#........#....##....#...#......#.........
.................#.......................#...#............#..........#.........#....#..#..#....#..#...#...#.............................#......#........#........#...............#....#..............#.........#..##...............#....................................#..........................#.....#......#............#....#............#..#...................#...#...##.........#.#..........#..........#.....................###.....................................##.......#..................#..#..#..
...............#.#.....................#...............#......#.....#...................#................##..............#.....#....#.....#......#...........................................#.............##....#......................................................#.#..#.................#..#..#...................................#...#......#......................#..........#........#......#.........#...#..............#......#......#...............#............................................#.....
.....#..#.......#..##.#.........#............................................#.....##.......#..................................#.........................#....................................................#..#.#...........#...........................##......#............##.................#..#.........##..#......#...........#..........#.......#.......................#....#..#..............##.....#....##..............................#.#....#..#.............................#..#.#..............#..
..#.#.......................................#..#.#..#............#.............#..#.......................#...............#...................................................#............#...............#.....##.#.#..........#.......................#.........#........#..........#...........#.........#.....#............#......#...........##...............................#.................................##.........................#........#.................##......................#...............
#..............#.#...........#.#....................###..............................#.......##......#.....#.........#...........#.....#.........#.....##......#.##........#................##..................................#..#...................#...........#............#.....#.......#......................#...............#...............#........#.....#.#.......#..#.............#...........#.........#..#.....................#........#...............#..................#.#.......................
....#..#...#........#.....#.............................................#...#....#..................#....#.#........#...........#...............#.......#..#...#.#...........#...#.#..........#...#............#.##...................#......................#.........#..#.....#....................#..............#..............#......#.......#...........#....................#..................#.............#.................#........................#........#.......#............#......................
.....#.#.#.......................#...........#.......#.........#........................#.......................#.#......#......................#..........................#................#..#..##.#...........................#...#.....................................#........#.......##.............#.....................#........#.......#......#..............................#.........#..#.#..................#.........#..........#..#.....................#..#..#.....#..#.....................#.....#
.....#......#...#................#........#...........#................#....#..................#...............#...........##.......#......#..#.........#.........#.......##.#..#.#..............#..#..#.....#......###........#....................#.#..............#..##..............................#............#...#......#.......#...........................#..............................#..................................#....#.........#.............................#.....#.......#.#...#.#..........
#...........................#..........#..#.#.#..........#....#.........#.......................#..................##.................................................................##..........#...........#............#...............##.........#....#............................................#...#............#.......#..#.#.....................................##...............#...........#..................................#........#......#...................#.........................#.........
.............................#....#.................#.........##.....#................#.........#.....#.#...#...#..#.......#..............#.................#..................#.....................#..............#.#..#..............#............#..#.................##.........#................#............#.........#..............#.........#...........#.#...#..........#..............#....#.........##.#.........................................#.#.......#..#..........................#.........#.##
.....#.................#.........#.......#...............#.......#.#..........#..............#..................#.#............#.....#..........#............#...#..#...#....#....#..................#.......#.................#.#.#.#..............#...............##.................#.#......#....#.................#.................#.......#................#..........#...#..#.........#..#....................#.........#.............##...#.....#......#.#........#.......#..#.........#.........##.......#
##.....#..#...........#........#......#......#.....................................#.....................#....#.................#........................................................#...........................##....#..#......................#........#.......#..............#....#...........#............................#...........#......#........#...........#.#......#.......#..#.#..............#.............#...........#....#......#....#................#.................#...................#.
..#..................#..................#....#....#....#.#..........#............#..........#........#.................##.##.....#.........#....#.#..#......#.....#..#......#....#.#.#...............#..#....................#...#...................#.#......#.......#...#............#.#.#...#............#........................#.....#.#..........................##....#...##...............#....#...........#...............................................#................#..#..........................#
................#.....#....#...#...#.........................#...........#..........................#..........#.#.........#.......#..........#.#......##...................#...#.................#..........##..............#.....#...#...#..............................#................#......#.........#..#......#...##........#..#.#..............................#...............#..#......#.................#.........#.#..#.......................#........#.#...........#......#.........#....#...........
.#.........#..#........#..#......................#................#...............................#.............#......#...#...#....#...............#......#..........................#........#.......#.#.........#...............................#..#....#.#.#...................................................#.......#.#..#..#.#.........#.....#...#..#...................##.....##........#.........#........................................#......................#.............##..................#....#.
.....#...................................#....#.................#...............................#.......#......#..#......##..#....#..........#....#...#...............#...........#..#.#...................#........#...........#....#.#.#.........#...............#................#.....#.#.....#................#......##...........#...#...#...............#...#............................#.........#..........#.........#.#..#.........#...........##..........#.......#.#.................##................
........#.......#.##................###...##...#.......#...................#.......................#..#......##.#............................#...............................#...##.....#.#..##............#.#.................#.....#.....#....................#........#..#............#....#..................#.......#........#.........#.................#..#...........#.................#........#....#.#..#........................#.................#.........#...........#........#..........#........#..#
...#.#.#...#..................#.#....#..#...#.#.......#......#..................#..................................#......#...................#.#......#.....#.........................#..............................#........#.###.........#.#.#.....#...........................##..............#........................#.....#...............##.......................................##.....................#......#..#.....................#...##............#.....#.#.#.###.............#.........#.......#.
.......#...........#.........#.....#.......#.....#......#........##..#........................#....................#.#..#.......#............#...#.....#..#..#........##..........................#....#.........#.......................#.........##.......#.......#.....................#.......#.##......#............#.#.................#..........#........#........#..#.....##.....##......#..##.............................#.#..#.........#.#...#......#........#..........#......................#........
..........................................#.................................#.##......................#..#.#.....#............................#...#.......#...................#...#......##...........#.#.........#..........................#.......#.#....##.........#.....................#..##......#..................#...#..#....#...#....#....#..........#......#.....#....#.....#.......#.....#....#............................##.......#.................#.....##......................#..................
.......#.......#.........#....#............#..#.....#..#..........#.....................#..#...........#................#.....#..........#.....#...........#....#.....#......#..#.#.........................................#.............#.#....#...................#................#..............................................#..................#.###............................................#..#..#.......#..........................#..#......#....................##........................#........
..........#...........#..........#.#.#..............#...............#................#............#...........#......................#..#.....#...........................#.#.........#..........#............#...#...................#...................#..........................................#...........#...#.......#...............#.#..............................##..........#........#.....#..#.................#.......#..#..........#............#........#....................#.....#......#.......
...........................#................#...........#.......................................#...........................................#.......#...........##.#..........#..................#...................#............................#.#.......#..........#......##.#....................#.............................#.......#.............#........#.....#...........#..........##................#.........##...#............#.........#..#.......................#..........#.................#...
##................#....................##.................#............................#.......#....#........#............#......#........#.#...........#.##.........#...........................##..#.......#....................#..................................#...#.#..........#.....#..................................#...#......#................#.....#...#...............#.....#......#..#.....#....#......#..#......................#...................#.#.....#................#....#.............###
....#...........#...................#....##..............#.......#....#.##......##...................#.##.................#......#......##......#.......#.......#.#.........#......#...........#......#.#............#.#.................##..........#...........#.#..#..#...............##..#.....#.......#.......##.......#..#.....#.....................#.....#....#..#.#..#..........#...#...........................#.....#.......#.......#..............................#.....#...#...........#.........#.....
..#............#.........#...#.....#.............................#......#.....................#.........##...........#.........#.#.#........#......#........#........#..#............#.......#...........#.....#.........#..#..#....................#.##...#..#..............##....#...#..............#............................................#.................#..#.......#...#..................................#..........#....#...#.....#.#....#..##.#.#.......#..#.........................#..............
......................#..#.......................#.................#............#.................................#........#............#...##............#.........#.....#..............##....#.....................##...#.....................#................#....#........#.......##.#....#........#................##.......#.....#..........................#.........#..............#.#...........#...........................#.....#...#............##.....#................................#.....##.......
........#..............#..........##.........#..........................................#......................#.........#.............#........#..#.....................................................#.#....#...#..........#.........................##..........###......................#..#........#..#.......................#.#.#..........................#.....................#.......#............#.#.......#....................................#.........#........#.......................#.........#
.............##........#...#...............#..............#..#...#.................................#...#..#..............................#.....#.#.#....#...#..#....#...........#.........................#.....#.........................#..............###..........#.............#.#..........#.........#.##.....#...............................#..........#...............#..................................#......................................................................................#..#..#....
......#.....##.#...####.......#...#...#........#..................#....#...#............#.....#......#....#.....#...................#..#.........#......#..#.....#.....#..........................#..........#........#....#...#......#..#......#.......#.......#..#..........#......................#.#............#.#..#...........................#....#............................#................#........#............#..#............#................................#..........#.............#...........
...........#.............#.........#..#....#..#..##......#..#.......#....#.........#....................#.#...........#....#..............#.#....#..............#..........#............#.....#............#..#......#.........#.....#........#..........#.#..........#......##...........#.......#...#.#..........#....##.................#.......#..........###...............#..................................#..#....#.#....#.........#.......#..##............#..............................................
..............................#...................#....#...............#...#..........#...#................#..##.#.........#..#.......................#............#.#.........#........###.....##............#...........#............#......#......#........##.....#......................#..........#.............#...........#.#....#........##.....................#.............#.........#.#..................#......#.......#...#...........#......#.......#........#..............#..#.....................
.........#.......#......#..#.......#......#...............#...........#............##.......#.#.......#.....##..........#................#.....#..........##........##......................#...#.....#............#............#......#...............................#............#..#..#.........................#..............................#........#.................#...#....#..#....#...........#...............#...........#.......#..............#........#....#...#....#...............#.....#.......#
..........................#....##....#.............#...#.......##..........................#........#.......#.........#.......................#........#......#......#...................#........#....................................#..##.......##.........#.#.................#.............#............##.....#......................#...#......#...#........#....#..........................#............#....#...#.................#.....#..#..............#......#..................#.....#................
.............#..........##..#................#..........................#................#.....#..#..#...........................#.......#..............#..#........................#......#.................###............#..............#...............#...........................##........#..........##..................#.............................#................................#...#............#......#........#................#...................##........................#....#...............
.............................#........................#.....##....................................#.....##....................#..................##.##.......#..#...............#..............#..........................#...............#.................#.....#.............#............#.....#.............##................................#.....#.........................#..........#......#.......##.....#.#......##.......#..#.......................#.........#......#..#...#........#.................
..............#.............................#....#.##........#.............................##.....#...#.....................#.#................#....##.......#...#..#.......#...................#................#.#............#....#..#.......#....#.#......#..........#.................#.........#....#.#...#................................#............##........#......#...............#...........#..................#..#...........#..#.....#...................................#....................#..#.
....#....#................................#..........#..........................#..#...........#.#.#....#......#.....##.#.....................#.......#................................##.............#.#.....................#..............#.............................................#....................#.........................#......#....##.....#......#............................#.........##..#......#..####.........#.#...#...................#...#....#....#.....#...............................
.##...................#..............................#..............#..........#...#....................#..................................#...........................#...#.....#..#..................##..##.......#........#........#...#...#...#................................................................#....................##..............#.#...#......#.........#.#...................................#.....#........#.......#.#.....#.......#.#...................................#.......##.....#..
....#..........#........#.....................#................#.....#.........#...............#.....................#.#...#...........#......#........##...#..#...........#......#.................#......................##...............................#...#.................................#...#.................#....#...#.......#................##.........##........#...............#.................#........................##..........##.....#............................#.........................
.............#..........#.....................#....#....................#................#................................#....................................#....#...#.........#.......#.................................#...................#.#..................................#................##......#.......##...#........................#...........#...........#....##.......................##....#...#.................#.#......................#..#..#...............................#.#......#.....
.....#........#..#.....#...#....#...#.................#.............#...........#...##...#................................................................#.......................#....#..........#...............#.......................#........#.....................#...#.................#..................................................#..#.......................................#.........#.........#..#................#...#...#..........#..........#...#.......#.#........#...............#...##....
....#......#............##...........#.#..................#...............................#.............#......#......#....#...#....#...............................................#.....................#............................#..........#......#.........................##........##...#.....................#....................................................#.....#............#................##...#.#................#.##.....#.........#...........#.#............#............................
......##................##....#.......#.....#.....#.............#..........###...#....#.............#........#.......#......#.................#.....................#.............#........#.............................#.#.......#...................#.#................#..........##..........#........#..........#.........................#...........#.............#.....#........................#.......#......#.....................#..........................#....#.....................................#
............#.................#......#..#....#..............##...#.....#............#............#.#.............................................#.......................#..............#......................#.......#.#...#..#................................#..........#..#.............#....#...#.....#....#..#.#.........#.....#.....................#........................#......#........#...................##......#........#..........#.....#...............#.....#...................#..............
....#.....#.......#......#.................##................................#................#............#.................#.............#....#.#...#.....#.....##..................#..................................#...#...................................#..#..#.#.....................#...........#..#........#...................#......#..............................#.................#...#..............##...#......#................#......#.#...#.......#.......#.....#..................#.....#....
.............#...................##.#....##..#...#...................#....##..............##...#.............................................#.......##.....................#..##..#...#..................#..#.....................#..##..................#....................#.............#......#....##......#.#...........................#.....##....#...#......#......#......#..........................#....#...............#.##.....#.#............#.................#..............#.....#........#.......
..............#.........................#..#.##............................#...................#...............#.......#..........#...........................#.....#......#.........#..........#..........................................#................#.........#..#.#.#.............#..............#.............#..............................#...................#....#......#...........#........#..#.#...#.................#.......#................................................#......#....#...#...
...........#...................#..#....#...#......#.....#..#....#...........#.#..#.....#.....................#...#......###...#....#...#...............................#......#...........#..#............#.................#......#...#.#...#.....#.............#........#................##.......##.............#...#..........#....#............#..................#.............#.....#..#..#...................#...#.............##....#..................#.#....#...........##...#..........#.....#..........
............................##...##...#.................#..........#............#.........#......................#..............#.....#.................#......................##............#.#...#..............................#.#............#...#..........#..............#.......#.....#........#......................................#.....#...##............#.##..#......##..............#.................##..#.......#..............#..#..#......................#........#....#.#.###.....#.#....#......
.........##.#.............#.................#...........##.....................#.........##......#..#................#..............#............#.............#..#..#.......................................#.#.#..............#...#..#..#......#....#......#.....#.......#...#........#............#..........#................................##............................................#.......................................#............####...............#..........#.#........#....#.................
..........#.##.....#.....................#.#..#.......................................#......#........#.........#........#.#......##............#..#..........#..#....#.#....#.................#.##........#.....................#..#.#..#..#........#........##..#...................#................#......................#...#............#.............#........##......#.....#............#....................................#..............#.....................#........#.....................#.........
.#.....#..........#..#.................................#..#........#.............#........#.#.................#...........#..................#.#..#...#...........................#..........#....#..#............#........#.......#.......#.#.........#..#...#.........#........#................................#.....#............##.....#..#.....#.......#............#.........#..#....#....#.#......#.......................#..................#............................................................#.
..................#....#.......#...................#......#..##.............#..................#...#....#..#........#....#......#.#.#..#...#................#...#............#..........#...............#......#.#.#..............................##...#..........##......................#.......##........###....#.#......................##.#.#.....#.#......##...........................#......................#...##.#.#...................#......#..#.....#...................................##..#..........
..........#.##.#...............................#.....##......#..............#......#.................#........#.......#.........#.#..................................#...............#.......#...#............#...............##...........##...............#...............#....#.............#..............#.......................#.............##...............##................#..#.#..............#..........##.#..........#.........#.................#....#.#.....#.#...#...............#..##........#.#.
..#.......................#..#...#..............................#.#........#.....#.........#..#..........#...#.............#.#....#....##.........#...#.....#.#...#.....#.......#.............#.#...#.......#..........#....#.....#...........#...#......#...#.#....................#.......#.....#.##....#......##......#......................#...........#..#........................................##...........#.......#....................#.#....#...........#.#...............#....................#.......
.........#..#.............#........#.#.........#............#...#.......#...#...##...............#......#........#....##...........#...................#....#........#.......#..................................#.................#....##.....................#....#..........#......#.#.....##..........................................#...........##..#...........##...........##...............#..........#..#.....##.................#....................#....#....#....##................#.#.#.#........#....
...#...#..........................##......#...#.....#.#.#...#.......##............#......#..##......#.........#......#..........................#.#....................##...#......#.........##......#..#..#..#..#...................#......##.#..#..#................#.#.....................##............#.......#..............#.##........#....#...##......##.....#......#.....#.#..........#...................#...........#..#....#...#.................#..#...............#.....#.....#.....#.#.##..........
.....#..................................................#......###...........##...#.......#......#......#.......................#.............#..................#....#...#....................#.....###.....................#..............#.......#..........##....#.....#...................#.#..#........#....#........#..#......#.......#........##..#......................#............#.............#............#...#....................#.............#...................................#.#...#.........
..#.....................##....................#..........#............................#....#............#...........#............#.....#......#.......#...........#...#.#.....#....#..................#.............##..................#..#........#........#..#....................#....#...........#...............................#..#...##...#.#..................#..#........#............#......................................................#..#.........#................#...#.........................#
........##......#.........................#...................#..#....#..............###...........#......#...............................................#....#........#........#....................#.....#..#...........#...............#........#..#.......#.#.......#.....#...........#.................#.#.......................#...#.....................#........#.....#..........#.....#...#...#.......................#...##................#.....#.#.......#.....................................#......
#..###.#...#....#.#...#............#...##.....#.#.....................#..#........#......#..#..#.......#......#......#.....#.......................#............#............................................................#..##.....#..##..................................#................#..#..#........#..#.#...#..#...#......................#......#............#...............#...#.........#.....#...........#..........#...............#...........#...............#.......#..#......##.#........#.....
..#...................................##.........#.....#..#.#.....................#..............#..#..#............##..#.............#..........##...##.........#............................................#..#......................#.........#..........#.......#....##..........#..#...........................#........#......#...................#....#.............#..........#.#.#..................#................#....#....#..........#..#........#..#..............#.......#.#.................#.....
............#...#.........#....................#...........#....#..................#..........#......#.....#...........#.....................#....#.......#..#...#...........#..##....#..................................#.........#.........#.........................#....#.................##.................##...............#......#..#...#......#..........#..#.#.........#..#.#.#...#....#....#............................#..#..................#..........................#.....#...........#....#........
......##.....................#..............#........#..........#.#............#........#.....#.....................................#....#....#..#.......#..................#..........#.#...#.................#.......................#....#...........#...........................#......#.....#............#...#..##.......#......#..................#....#.#.............#.............#.#....#..............#.#...........#................#...#.......#.............##...#..#.....#..................#.#.#....
......#.....#................#.......#....#..............##........#...........#....#..#...##..#.....##.....................#..........#............#..........#.....#..#.....##...............#...##................#.................#....................................#.........##.......#.#.#.......#...............#...............................#..#......#......#............##.#.....#.........#....................#.......................#.....#.#...#.........#...#..............................#.
..........#......................#...............##....#............#...........##.#.....#.....#...............#...#.#......#.#.....#...#...#........#............#...#......#........##.#..................#...............#..........#.#...........#...#....#..#....#.......#......#...#...........#..#.#..#..#............#...#.....#.....#.##......................#..#.....##.#......#.....#..#....#............#....#.#...............................#..#..#.............................#...................
#..#...#.##........#..#.............#...#......#....#......#..##......#.....................#............#...#...........#.........#...#.#...................#.....#.............#....#..............#.....#..........#..............#.....#.....#...........................#...#..........#.......#......#.#..#...#........#...........#....#....#.....###..........#...#........#..................#..............#............#..........................##.............#...##.................#....#....#......
...#...........#........#...#............#..........#.....#..........#.................................................##..............##...#..........#..........#.....#........#....##....#...........#.........#.....#...#....#...................................#...............................#...............#....#...#.......#..................................#....#................#...........................#....#..............................#...........#..........#.............................
...#.......#............#........#........#.................#....##.......................#...........##......#..................##.....#.#...##............##........................#.........#...#...#...#.......#.......#..#........#....................#.#..................#..#..............#........#...........#...............#........#.##.......#..................#...........................#............#.##.......................#......#........................#...............#......#........
...............#...#........#......................##.........#........#......#....#.....................#......#..............#.#...........#..#..#..#...#...#...............##...#.....#.....#.#..#...#..........#......................#...........#.......#...........#...#.......#.#.#.........#..................#.......#..#....#.......#......#........#..#.#...............................#..................#.....................#........#..........##......#........#.................#...............
..#.........#....................#..........#......................#...#..#.....#............#...........#......#............##............#........##..........#..#.............................#............##....#....#..#.....#...#.....................#.......#....#........#......#....#.....................##........#......................#.........##....#.....#..#.#.#..#.....#...........#........................#..#..........................#.#......##......#......................#.....#.......
................#...#.....#.#.......#.##....#..............#..........#.......#.............#......##....................................#..#..................#..##..#.......................#...#.....#..............................................#..................................#....#................##.#...................#.#....................................#...........#.........#..#......................#.................#..................#..#.....#.#...#........................#........
..#..........................#.#.#..................................................#.................##......................#.#............#.........##.......#..........#..#......#......#..............................#...#.....#..#............#...............................#..........#..........#............................#.........#..........#.#...#.............#..#.......#...................................#......#.......#....#......#......#.........#................#...#............#..#..
....................#........#....#..............#.........#....................#........#........#...###..#.#...#.............#.............#.#.................#.#...#..........##...........................#................................#.............#....#...#.##...##.....................................#..#..............#..#..........#...##............#...........#.........................#..........#......#................#...............#.#.........#.....#.......#........#...............#
.......#..#....#..................................#...#..............#.........#.......#..............#..................#..............#....................#.................................##........#........#.....#...........#...#......#...#..........#.......#...............#..........#........#...#..#....#....#................................#....................................##.....#..............#..........................#..............#.#.......#...........##....#..#......#.......#....
..................#..........................................##.#.......................................#.................................................#..................................#.#..#....................#...#..............#.#.........#.....#...........#......................#............##.....................#......##.............#..............#..........#................#.........#.#...............#....................#..........#.##...#...#......#....#...#..#.......#...#..#......
..........................##....#...#.........#.............................#........#.......#..#.#.........................#................#..........#........#..##..................#..#.........#.....#.#........#...........#...##.....##.....#.........#........#.....##...#..........#..#.......##......##.................#....#..#.....................##...............#.....#.................#................#...#........#................#......#....................#..............................
...#....#....#.....#.................#.......#................#.....#....#.............#..................#..........................................#..#............#.#..#.#.........#.#.........#..............#.#.............#...............#........................#............#....#.........#.#.#....#.#.......#........#.....#........#......#.....................##.......#.........#.....................##..................................#......................##........#.........#...##........
......................................#.................#..#........#...#...........#.................................#......#....#....#.............#..#....#.#......#............#......##.....#.......#.......#.....#....#...........#......#.........#.............#.#.......................#................#....#...................#...#....#..........................#..............#.................#.#............................#..............#......#....#....................#......#.......#..##.
......##...............#................#...#.....##..........................#.#....#.......#....#.........#....#..#.......#.#..#........#...#......##..#......#..............#..#....#...........#.......##............#....................#..............#..#......#..#.....................................#.....#..................................#..........#.......................#......#.........#..#........#...........#......................#.....#.#.##.......#................#...............#...
.................#...............#.....................#.#..##.....#................#..#..#..............................................#........................................#...#...#..................#...#................................................#............#.......#.......#...#............##..........................#......#...........#............#.................#.#......#...#...#......#...........#...............#......#..#...............................#.......................
...#..#......#....#......#........##..........#..................#.....................#.............#........................#.#......##......#.................................................#...#.#...................................#................................................#.........#.....#.....##..........#.#................#..................................#......#.#......................#...........................#...#......#......................................#.....#...#...##..
.#...#......#.##.#.......###..................#....#..................#....#.....#..#..................................#.......#.................#.....#........#....#.....#..............#..........#.............#.........#........###....#....#.........#..........#....#...#.#....##............#.....#..#..#..#....#..#.....................#.#...................#....#....#....#..#............#....#.#....#...............##...#...#...............#....#........#.........#.##.#.......#...............#.#
......#...........#..#....................#...#..#...................#............#..........#..............#...............#...#.#..........#................#....................#...#.........#...#.........#..................#.......#...........#...#..#...#............#..........................#...##............#..#..................#....................................#........##.....#..............##.......#.#.#................#........#.....#...........#......#..................#...........
......#.........#..........#........#..................................#.........#..#.........#..##......#......#........................#.#...#....................#.................#.........##..#..............#...............#......................#.....#........#.........#...........#..#.##..#.........#..#..#.#......#.......#.............................#..............#..##.........#............#......#.............#..#...#......#........#...##........#.##.....#.........#.#.........#.........
...#....................................#......#.........................................#...#...........#............#...#.......................................................#..........#...##...................#.................................##.......#..#..................#.......#.#......#..#..#........#........#........#........................#...........#...................#...........#....................#.....#...........#.#....#.....#.............#..................#.....#..........
........#....#...#.........................................#........#....#............#..........#...#.......#.....................#....#..........##........#.#...........##.......#..#.............................................#..#.....................#........#....##...........#..........#..........#.................#................#....#..................#..#...#.............#.....#..#..#..#.............#.............#...............#....#............#....................#.#................
........#...............#.....#......#.............#....#........##..............................#..............#...................##........#.#.............................#..#........................#..........#.........#....#....#................................#.............#..#....#...........#.....#........................#.................#...............#....#...............#...#...........#............#............................................#...#..#...............#.........#....#.
...............#................#.....#.#...#.....................#..#.#....##..................................#.....................#..#..#...#.......#.#....#..........#.............#......#...##....#.........#...#..........#...........................#..................#.....#.............#.....#.#...................#.....##..........#....#..................##..............#........#............................#.........#........##.........#....#.#.#....#...........#...........#.....#........
...............#.......................##................#.....................#...............#............#............##......#.....................#....#....#.#..##...............#.#.#........#......##.................#.#........#..#...............#.....#......#...........#............#......#.......................#......#......#..#....#.....................#....#.......#...............#...........#............#......#...#.#.........#......#..............#.....##..#......#....#.....#.#.....
..##...............#..............#.................#....#..........#.........#.....#......#.........#.#.....#....#............#......#..........##..#..#............#..#................#..##......#.....#..#.....#.....................#.##............#..##..........#...#...#.............#.#.....#................................#.........................#..##............................................#...........................................#.......#..#......#....................#..............
..................#.....#.#..................#.......#..........#............#....#.#...............#.............#..#..#..#......#....#..#...................#...................#....#.......................#...#..........#....#......................#.........#......................................#.......#...........................#.....#.....###...#.#..#...#...#.............................#..#......#..#..........................#......##.....#...........#...........................#.........
.........#.....#....##........#.#..........##......#.........................#...#.......#......#.......#....#......#.......................##........#...#.##.................#...#.#......#..........#.......................#....##....#.............##.#....................#.#................#.........#.................#....#........#.......#..#....#........#.##...........................................#.......#........#..................##........#..#..#..#...#...................#..##...........
......................##.....#...........................#.....#....#..#...........#.#...........#.#........#..........#........#....#...#........#..........#......#.........#...........................#...................#......................#.#.........#...................#.............................#......#........#..#....#...#..........#..................#....#........................#......##........#...##....................................#...#...#....#.........##.....................
.....#..........#......#...#.........#..........................###............#.....#......#................................#..............................#..............#.........................#.....................................#...............#........#...............................#.........#...#....#..#................#..................#.................#.............#...........................................................#........#.........#...........#.................#....#...
.............#........#...#...#.#......#......................#...........#..................#.............#..........#.#...#.......................##...##.......................................#....#.......#....................#...........#..........#...#...................#................#...#......................................###.#........#......#...............#...#..........#.#............................#.............#.##.#..##.........................#.................................
.......#..#.....##...................#.......#..#.....#..............................#.........#.........#......#......................##.....#..........#....#............#.......#.................#..#.....#..........................#...#...........#......#...................#...............#.............................#.................#.................#..#.............#.#..................#.................................#..#..........#...........#.#......#...#.........#...#.........#......
......#..............#......#...#.#..................................................#...##.........##...#.........#...#........##...........#..........#................##...#............#.............#.......#.##............#..................#.....##..#......#..............#.#.........#..............#.#...................#...............#....#............................#.....#........##.............#..#..........#...##......#....#...#.....#...............#.#.....#................#..#.........
.#............#........................#.............#......#...............#...............#.#................#...###.....#..#..#...............#..#.................#.......##....#...........#........#...................#.......#......#..#.#...#.........#.......................#........................................#......#......#..........#.............#...#.....................##.......#.#.#.........#.....................#..#.................#................#.#.........##.........#........
......#....#.#.................#............#.............#..........................#.....#......#......#....#.............#..##...................#.#....##..............#.........#......#........#.............#.#..#...#.......#.....#.#.....#........#...............#............#......#.#....................#..............#.......#...#.......#...#...................#....................#.#..........#........#........#.....#....#...#................#....#......#..#..........#.......#.#..........
.....#......#.....#.......#..................#........#.##.....#..#.............................#..............##.#..............#.#.........#.....#..........................#...#.........#......#...#.#....................................#..#...#.........#.........#.............................#...................#.........#....#............#.#....#..#............................#.......#...#..............................#....#..#...........#.....................#.......#...#.............###....
...........#....................#...#....#.#...............#..............................#.###.#....#...#............#.............#....#.....................#...#.....#....#....#.##........#..#..................#...#..........#.......................................##.............#...#..............#..#..#....#..........#...#.#...........................#......#.....#.......##.#.......#......#.#........#...#.........#........###....#.......................#....#...........#..#........#........
.....#.#.......#..##.........#..............................#.........###...................................#...............#..........#......#....#............#...#........##......#............#..........##.#................#..............#.#.#..#...#.......#.....#....#...............#.....................#.............#.#.................#.....#.#.............................#......#....#.......#............#..#...#...................#......#....#...............#.........#.#..#.#.........#....
.#...............##........#.....#.....#..........................................................#.............#............#...#.#...#.........#....#...........................#...#....#......#.....#.......#..##...#...#....##.....#............#...#........#....................#........#..........#..#..................#...........##..........................#.#.....#............#...#..#...................#...#................#........#..........#...#.#...................#...#.#.................
....#..#....#.#................#...................#..............#.....#............................##................#........#.......#.....##.............................................#.........................................#.......#.....#..#.......#......#.........##.................#....................#......#.......#......#........#...#..#...#.......#...#.........................#.#.................#.....#................#.................................#.......##....#..##.......#...
..........#........#.........#....#........................#...........#...........#..............##.....#.....#..........#...#.#..#..#......#.............................................#..........#........#...##.............................................#.....#................#.#........#................................#.....................#............#.............#..........#.#....#.#...............................##........#..#...................#.......##..#..........#...#..#...#......
....#.#.......#.#...........#......#.#.............##..............#..#.##...........#.........#.........#.......#.....................#..........................#..#..#..#...#.............#........................#.......#..#...............#.......#.....#...#........#...#...##.##.......#....#...........#.#.#............#......#..............#.........................#................#.....#..#.......#...........###.....#.#..........................#...............#..........#.............##....
.....#...........#..#.......#.#......#......#.....#.#..#...#.#..#....................#.........#......#......................#.....................................#....#.........#.....#....#.............#...........................#............#..#.................#........#...#.............#..#.#.#.............#.......#..#...#........................................#............#...............#........#....#.......#.....#.....#....#.....#.....#...#...............#............#.##...#...#....#.
#.............##............#.##.#...#.................#....#.....#.#................#...#.............#.......#.......#..#..#....#.........................#.....##.#.............#....#.#.#.#.#...#.....#..#.......................##....#......#........#.......#.....#.........................................##...........#....#......#........#..........#........................................#......#............#......#..................................................#..................#.....#...
......................................#.......#..........#..#..#...........#...#...............#.#...#.................#.#...........#...........#..#......#...#..#..#........................#...................#..............#.#.#....###........#.............................#...............#.........#.....#.........##..#..................................#...##...#.......#................#.....#........#..#....##.............#............#........#........#..#...........................#.......#.
........#...##...#..............#........#.....#..#.....#......................#.............#................................##.#.......................#.......................##...#...........#........................#..............#....#.......#.....#......#.......#....#...#......#.......#.............#....................#..............#......................#.#...#.##........#..........#............##.#...#.............#.#..#.......................................#..#.........#...#.........
...#..........#.##....#..#...........###.#.#......................#.....#.............##.....#............#.#...#.#....#.....#........#.....#.....#.....#....###.................#....###..............................#...........#.....#........................##...............................#.............#..#....#..............#....#.....#....#.......#..#.#.....#.#...#.....#..................................#.....#.#....#.....#.....#..................#......................................#.....#
...#...#...#..........#..........#...........................#..#.................#............................#..##........#.........................#.............#............#.........................##....#..#.#.#..#.....................................#.........#..........#............#.#...................................#..##....#......#.......#....................#...................................#....#......#.#...#....#.#.....................#..#..#.....#....................#.....#...
....................#.#..#.#.....#..............#...#......#..............#.....................#....#..#.#......#...#....##.#.........#..........#.................#...#........#..#......#...........#..................................#....#..................#...#......#.............#...........#.#...............#....#.............#............................#............#.......#....#......#.............#....#................#....#...##.#..#.#.........#.......#......#....#......................
..#.............#.#..........................#....#........#.........#.............#.....#...#.#.........#...................#.........#..#..........#....#..............................#........#...#............#.............#.....................##........#...............##..............#.........#....#...................##.#................#........#.#......#................#.......#.....#.#..#................................#.#..........#.......#..#...#.#...#............#.......#....#..#.....
.........##..........#.##.....#...............................#.#.....#.#..#...........#.#.............#.#............#..........#...#..............#...#...#.............................#..#.................#..#..............##..#......#.....................................................#..#................................#....#........#...................#...#....#...#....##............#..............#...............#....#........#........................#...................#..#..............
.#......................#.....#...........#.#.......#......#......#.........##.....#.#.#...............................#.....#.#......................#...............#...#...........#.........#............#..........................#.#..#.............#.............#.#.....#..................#...#.............##....................#....#......#...........#............#....................#..........#..........................#.#....#...........##...#....##...#............#....#......#............
..#..............#.....#.................................#....................#........#.#..........#...##..#...#...#...........#...#.........#....#.......#........................#.........................#.................#.............#...#.##....#..#.........#...#.....#............................................##....#........#...............#........#.#..#.......#.....#..........#.#.................#......#.#...........#.....#...........#............#.....#..#........#..#.....#..........##
#..#.#.#....#..##.#...#..#...##.##...........................................#.........................#....#.........................#..#...........#.......................#.....................#......#.....###........................#..............##....................#...........................#..........#............#..#.#.#..........................................................#...........#...................#.....................#.............#.#.#......#.......#......#..#.....###...#
.......#...................#....................#.##................#......#.........#..................#............#..#..............#.......#.....#.#...........#.#..#...#............................#....#......#......#..............##..........#...................................##....................#........#.............#.....#....#......#..#.........#..#.....#...........#................#..#........#.......#......##.......................#........#..#.#........#............#.......#.#....
.............................##.#................#.........#..................#......#...#...........#...#.......................#.....#.........#.........#...............................#....#..........#......#........#...............................###.....................#...............##..#....#..................#.#..............#......#...#..........#...........#...#..........#.......#.......#....#...#...............#...........#.............#..#....#.#............#........................
.............#.....................#.........#...#..#..#.#..............................#.#..#..................#.............#...#........................#..........#.................#................###........#..............#..............#...#...............#.........##........................#...#....#...#.....#.........##..#........#..##...#........#.#.........#.#.............#....#..#.....#................#.............#.....#..............#..#..............#..........#.........#.........
#........................#.....#......##..............#.#.#...........#.........#............................#.#...............#......#..............#..#......#...#......#.#.........#.........#......................#.....#.............#........................#...##.............#..#......#........#............#.......#..........#......#.#.......#.....#.#.........##...................................#..........#......#..................................#..............###..........................#
....#..#...#.#......#...#.#.....#........#...#........#......................#............#...................................#.........................#.............................#.#......##........#......#........................#......#.........#................#......................................#.................................#...#........#.....##............#...............................#......#................#..#...................#........#...................#..............#...
..#.........#...##..#....#.....#...............##..............#................#..#..............#..............#...............#.........................##.......................#...........................##.............#....#......##....#..##................#....#..........#...........#.................#.#....#...........#.#..#.............................#.#..............................##..#...#...#.................#......................##...................#.....#.#................#.....
.....#..............#.....#....#...............#.#......#...##.......#..##................#...........................#...............#..#...##.#....#.....#......#..............#.#...............#................#..........#..#....##..........................#...............#...........#........................#............................##............................................#.................##..#.................#.....................................#....#..#.....#........#...##......
...#....#.......##.###.........#......#..........#.......................#.........................#..#...............................................#...........#........#.................#.............#......................##...........#..#....#.#.#.#..........................##.#..................#.....#.#......#.#.......................................#...#.#.......#..#...........#.....#...............#.................#...#..........#.#.............#.......#.#.#..##..............#......#..
..##...#..........#........................##..#..........#.......#.......#....#.....................#.......#.#..............#......#..................#................##..#.#.#.................#....................#............#.....#.............#...........#......#.#...#..#.....#..........#..........................#....#.........#....#.....#...................#..........#.#...........#....#......##..#.#.....#..#.........#.........##.#.#.............#...#........#....#..#.............#...#..
..............#............#....................##......##........#..#............#..................#.......#...#.....##....#.................................#...#.....#........##.................#.............#............#.............#.....#......#..#...............#...#................#...............#........................#....#...........#.....#.....#.................................#..............................................#..................................#.....#....#...........
..#..........#................#........#..#........#................#.#.....#.#..#.#...#...............#.....#...#.........#............................##............#................#............#......#..........................#................#...........#........#.#....#....#...........................#.#..#.........................................#....#..#.#......#......#.................##..............##...................#....#......#.##.................#.......#....#...#...#.........#.
.....##..#.....#.#...#.#..#.......#..........#...........##.#...........#...#...#.....#.........#......#..#.............##....................................#................#..#.....................##..#...............#.#....#.......#.#..##.......................#............##....#..............#.............................##..........#.............#....#........##..##.####.#...#.........#..........................##............#...##.#................#....#..#......#........................
.............................#.#.......#.....#.....##.#..##....................#.......##....#....#..##.............................#.#.....#...............#.............#...#..#.......#.#..#.......#......#......................#..............#..#........#.##.....................#..#...........##.......#.......#...#........#.............................#.............#...........##...............#.#...............#...#.....#...........#........#.#..#...........#....#......#...........#...........
...#.........................#..........#.............#................#..........#...........#...##...................#....#...#.......#..#.....................#......#..#..#........###.......#.#...................................#............#.....#.#..............#....#.......#.....#...#...#...#.....#........#.........................#......#....#..............#.....#........#..#.......#...#......#....#.................#..##.......#...................#....##....................#..#...#.......
#...............#...........#.........#...............###.....................#..................#....#......#.......#.........##..#.#.................#..............................................#...#.......#.........#.........#...................#....#....#...............#.#..#..#.......#.#..............#.....................#...................##..............#....#.##...................#....#.....................................................#.........#...................................
..#.#.#.....#.......................#.......................#.................#..#..#.............................#..##......#...............#......................#...........................#...................#......#.#..#..............#.................#.......#.#..............##..#.....#..#...................#.......#..#......#....#..#...#..........#..#.................................#.............#....#...##.....................##...................#.......#...#...#.......................
.....#.......#.......#...........#..#.....#...........#.....##.#...........#.........................#....#......#..#............#..#........#......#.......................#..............#.......#...................................#...........#....#....#...........#........................#.....#..........#.#.#........#.##........#.............................#.......#...............#...........#......#...#................#...............#.......#..#.#.............................#......#..#....
...#........................##..#.....#...#.........#........................................#.........#.....#.....#........................#.......#....##..........#..#.##.#.........................#......#.#...........#......#.......#.....................................................#.........#...............#..#............#.#..........#.............................................#.................#.....#..#...#.....#.#..............#.#..............#..#...................................
.....#.......#...#...........#..#.................................#...........#...................##.#.................#..........#.#......#.......#.......#............#........#..........#.............##.......#....................................#.#...............#...............#......#........#................#.#.#..#....#...#......##........#..............#...........................###........#...#.....#.....#......#...........#.....#......##........#............................##......#..
.........#..#.................#.....................#.............................#...........#.........#.....#.......#........#.........#........#.#..........................#........#.....#.......................#..................#....#....#......................#......#............#...##........#.##....#.....##...............#.....................#..........#.........#..........................#..................#......#...............................................#........................
........#..#...................#..................#...#.....#.......#.....#....#.#...##....#....#.......#.#.#..........................#..........##.......#......#.........#.................#...................#....................#.#..#...#...#...................#.........#......##.........................#......................#....#............#..#.##..#..#..#...............#......#.....##...........................#.......#......#.#..#.........#................#.....#.....................#..
............#.......................#.#......................#.................#........#....................#.........................#............#............#........#.....#....#.#...#.#..........#.......#.........#.....#..#...#..................#...............#..#..........#..#............#........#...............#...#.##............................#....#....#..#..#...........#.#...........................................##........#............#........#......#..........#..........#.......
.....#......#..#....#....#.............#..........................#...............#.....#.......#.......#.........#....###......#....................................#.............##....#........#....................................#..#.#..............#..#....#........#............#.#.........#........................................#............#.###.............#........................#............................#.......#.............#..............#.........#..#...#.#.........#..............
............#.....#....#....#...............#.#...........#......#.................................#....#........#.#.........#...#.............#.............#.#....#.......##....#............#...........###...........#...#.................................##...........#...#...#......................#.......#...#........##................#...#...........#......##..#.......#....#.........#.......................#........#............#......#....#...........#...#................................#....
...................#......#..#............#.#....#...#.###...#...#..#.......#......#.......#.......#...............#........#..........................#....#......#.......#.......#.......................#..................#....#........#.#........#...#...#..................#.................................................##.........#.......#..........#...................##..............#.........#............#........#...#...........#...#............#..#.#...#..................................#
.....#...#...#..#.....#...............##.......#..................#.#..................#....#...#..............#............E.#...............#......#..#..#..#...............................#.................#........#.#.##....................#....#..................#.......#....................#................#.....##.....................#......#..............#..........#...........#..#..............#.............##....#........#...#......#.....#.........#....................#.....#...........
............................#..........#..#.#...##..#.......................##................................#...................................#.#.......#.##..................#..#....#........#.......#..#......##..#................#.............#.........#.............#....#.................#......##.....#...#..#.........#..........#.....#........................................##.....#........#...................................#.....#.....#.....#...............#...........##.#..#...........
..........#.#..........................#..........#...........................#.....#...#.....#.................##.....................##..#.............##.....#..................#........#.....##....#...........................#...................#........#........#...................#..#.....##.....#....#..........#.....#......#.......#............#..............#.........#.......##.............#....#......#.....................#..............................#....................#...........#.
....#.......#............#..#..........................#........#...#....#........#.##.......#....#.#.#......##...................................#..#..#..#...#..##...#...#......#..#.......................#...#......................#...#..##.......#.....#....#.........#...#.....#......#...#........#.#.......#....................#..#.............#..............#.......##............#.............#..#...........#................................##.............##........##......##......##....#......
........#.....................#....#...#.#.##.#.....#........#.............#...#...#...........#.#.................................#......#..................................................................#..........................#....#.....................#.......#..........#.........#.............#...###...........#..#............#...##......##..........#.....#..............#...........#.#...........#.....#........#.....#........#..............................................................
...........#..............#.....#.....##..........................#.#...##.#...##...................#........................................#...................#.....................#...#.#....#..................#.................#...#.#..........##..#.............#...........................#......................#.........................#...................#..........#......#....................#...............#.....#........#....#....#...#.........#...#..##........#.........................
...........#......#.............#...................#........#..............................................#...##.#.....#......##...................#............#......#..........#.........................##....#.#.#....#.#.........##........#........#..................#.#........#..#..#......................#................#...#....................................#..................#.........#...................#....................###......................#.............#............#........
....................................#.....................#.....................#.#........#...#.......................#.....#...#......#..#.................#.#.#...................##........................#........##.................................#...#.....#...............#.......#.........##...............................#....##...#................#.........#.###............#............................................#.....#.#....#...................#...#.........................#.....#...
...............#........................##..#.....#....................#......#....................#................................##.....#......#....#............#...#...........#............#........#....#.....................#..............#...........#...............##.................#......................#........#......#...##...#.....#.#...#................#...............#....#..............#........#..##..........................#.......#................#........#.....#...............
........................#..................#.....................#...........................#...#.............#....#........................#.........#......#......#.#.....#............#................#..##............#.#.............................................#...........#....................#.....................#...#..........#..#............#...#.....##..#......#..........................#..#.....#..............#.......................................#.....#.....#.......#...##..#.....
.....#........##......#.#.........#.....................................#...#..#........#.#.............#.......#...#......................#.....#.....#......................................................#..............#..............#.#..#............................##.................#.........#............#..#........................#...#...#................#..#......................#...#.............#............#...........#.##.#.......#............#........#.#....#..#........#...........
...........................#..............#..................................#...........#....#.............#.....#....#..#.....#..#..............#..#...........#.........................#....#.............................#.......................................#.................#.#...................................##.......#..............#.....#.#....#......##....#.#.....#...#................................#...#.....#....#...#.................#...#..............#...#.......#...#..............
..........#....#.......#.....................#.............................#.....#............................#....#....#.....#........#..........#......#...........................................................#..#.....................#...........#.........................##......#....#..#...............................#.....#...##.......#...##...#..#...............##......#...#.....#.........#..#..#.....#.........#....#.......##......#.#........#............#...#...#................#......#.
..........#............#..#......................#..#.......#..#.............#...................................#.........#.#.......................#........#...........#......##.....##...............##...#...............................#.....#.............#............................................#........#..................................#..##.............................#.........#.....#..#....#....................#.#........#...#..............#........#........................#.........
..........##.....#........#.............#...#.#..#........#....#......#.....#..................#......#...#....#........................#........##......#.........#.#...........#.................#...............#.....................#..............#...............#.......................#...#..#.#..............................##.............................#.........#........................##.................................#....#....#..#..........................#.....#................#.......
.................#...#................#.#......#.#...#....#.##......#........................#..#.....#...........#.#.........#......#..#..#...........#.#.......#..##..##..#.....................................#........#........#.........#.....#............#.....#............#.....................................................#.............#................#...#.........#.#...............#.............#..............#..##.#...#......#.....................#....#.#...............................
......#...........................#.........#....#..#..#...##....#.........#.......#.......#.......#......###..#...#..............#........#.........#...............#......#..##..............#........#.......#..#...##......#.......................#.........#........#.............#................#............##.#........#......#......................#...#...........#......#....#...............#.......#..#.................#....##....#...............#...#.............#......#......#...............
.............##...#...........#....#...........................#.#....#...#..#...#..............#..............#...............................#.......#......#.....#......#..........#...........#.........#........#................................#..............#........................#................#..................................#.#...........#...#.#......................#....##.........................................................#........#.....................#.................##....
...................#.....#.##.#................#..#....................#....................#............#........#...........#..................#.......#...#.#...........#............#..##................#.#.............##.#.........#..........#.............#..................#....................#...#.#...................#..................#...................#.............#.#..............................#.......................#......................#...........#.........................#.#.
...........................................#........................#.............#.......##..##.#............##.....................#......................#.......##...................#.............#.....#....#...........#............#...............#...#.......#.#....#...#.#.............................#..#.............#.#........##......#............#......##..................#..............#....#.........#................#.........#.................#..#..........#..............#...##.....#..
...........#........##....................#......#............#.............................#..#...#...#..#.................#.........#.##....#........#.#..................#..........................#......#.......................#.......................#..##...............#.............................#.....................#.....##..............#.......#.................#............##.#..............#.......#...................................................................#..................
.#............#..##.............................#...#......#....#....#.......#.#.........#.#...........#.....##............#.................#........#..................##.......#................#.......................###....................##.....#....................#.................#...................#..............#..#...............................#..#...................#.........#.............#.....................#...........##......#............#........#.....#..................#.....
......#.#.....#.....#.....#........#........#.........#..#................................#....##..#..............................#........#...........#..#..#......##........#....................................#.#.........#..........#...........#......................##.#........#.........#...#........##.....#.................#.#.................##...#.#.#.................#..................................................#............#.................#....#.#.....................#...#........
.#..........##.....#...................#.......................................#..#.....#.#.....#......................#.....#....#...#............###............#...#....................#..........#...................#..........#.......#........................................#.....#......#........#....#.....###............#.#...............####..................##.....#...#.#...........#...............................#........................#..................#.#............#....#........#...
........................###...#.#..#.....#..............#.............#.............................#........#.#.....#.....#...............#..................#.........................###.........#...........#..............#.....#..#.#....#.................#..............#...........#..............##...........#...##......##..#......#....#.....................#......#....................#.#.........#.....................#..........................#......##...#..................#..............#..
#.....#...................#..#...#....................................#.........................................................................#....#....#...............#.....#..........#......#....................................#......#........#..#.##.......##........#....#.#.........#..#...#...................#.#.........................................#.......#.....................#.#....#...................#....##....#.................#.#..............................#..............#....#.
..........#..............#..........#........................#..##.........#.#....#.#....................#.............#....#....#..........#.......................#...............#...##..........#.....#..........##.#......#......#.#.....#.......#......#....#.......#............#....#..#.........#.........#......................#..#......................#.........#............#..............#..#.........#...........##.....#...#..#...#....#..#.#...#.#.#...........#................#...............
..........................#..#....#............................#.#...............##...........#..#.#.....#..##...................#.#....................................#......#........#....#......#........................................#...............#..#............#...............#...................#...#...............#...........#.......#....#.#...........................#............#..............#...##.....#........#..#......#.#..........................#..........#...#.................
...................#...#.................#......................#..................#......#....................................#..................................................#........#........#........#....#.....#..................#.......#.....#.......#......................#.......###.......#.............#..................#..........#.............#............#..#......#.....#..#..........#..##...........#.................#.....#......................#.......#.............................
...............................#....##...................#.#...........#.......#.#..#.......................#.........#..........#....#.............#.........#...#...........#.#......#........##.....#....#..#.#...................#.....................#..........##................#..............#..#...#...#..#.....................#.....#..#......#......#....#..................#...........................#.....#..#.....###.......#.......#..#.....#...##......#....................##.#...............
....#............#..##..#...........................#................#........#.........#.##.............................#..##...#....#...........#........#.#...#..#...#...............#..........#...#...........#.................#..................#......##............#.....#..........#....................#....#...........#..........#..........................#.....#..................#..........................................#..#........#.....#............#..........#......#...................#
...............................................#............#...........#...............##.#.#.........#......................#.................#.#.......#.........#.......#..........#.......#...........#.............#.........#.##....#.....#..............##............#..........#...........#.#......#...................................##....##............#...........#........#.#.........##.###...#.....#.#.................#....#..........................................#.........................
...#........................#...........................#.....#...##..#..........................................#.................#.......#.....#............#..###.................#.......#....................##..#.....#........#.....#.#........#..........................##..#.#..........#....#......#.................................................#.........#...........#......#...........#.#....#..............................#.........#....#.#.....##....#......................#.............#..
.....................#..#...............#..............#...................#...........#.....#.....................#.......#...................##...........#...........#....##.##..................#..#...........#...##.#.....#...#...................#..#.#...#............................#.#.........#..........#...........#.#..#..........##...#.#.....................#.....................#.......#..#....#...#.#..........#..#.#................#.......................#..........#.............#.......
#...................#.......#......................##.............#...#...........###...................#.......#..##....##...............#................#.........##...#..............#..........#.....#........#....##....#......##......#.................#...................#......#..........#...................#.........#....#.......................#......#.....#.............................#..............#........#..........#......#......................#.....##...#....#...#.#.........#....#..
#...#.##...................#...............................#.....#.#..............##.....#......#............................#..................#...........##.#....#......#....##.....#.............#.........##..#...#....#...#........................#.....................#.....#.#.....#...................#.......................................#.#............##...##...............#...........#.................###.....##.......#.##...............#.#.....##....##......#...............#.#...........
...#.............#..........##..........................#...............#.......#...........#....#.....#..................#.....#.....#...........#...#........#.......#.............#............#.#....................#..#....................................#............#..#..................###...........#......#...#..........##.#................#.#..#.....#........#.....#........#.....##....#.......##.....#........#....#.....................#.#......#........#..#.......#.........##.............
.........#....................#.#.........#............###......##...#........#...#............#.............#..#..#......................#.#..#.#..............................##...#.................#..#............#.#............#.#....#.....................#....................#..........................#...#.........#.............................#.....##.............#........#...#.......#....#.......#...#.....#........#.....................................#..##..............#.....#....#......
...........##.....................#.#......#.#.......#......#.........#.......#.......#...............#....#.....##........#.........#.........#..#...#.....##.....#....#.......##........##.......##......#..........#............#.......#..........#.......#...............#...#...#.......#.....#...#.........#.........................................#...#......#......#..#..#.#.#....................#..#.........#..............#....#.....#...................#.......#...............##.......#..#.....#.
.......................#.........#....................#..................#.##.........#....#.....................#.......................................#....#..#.........#.#..#.......#...#..#..................#............###....#..#.#....#........#..........#......#..............#.....#.#.......#...#...#........#..#....#...................#....#..#..........#.............##.#........#.....#......................#....#.....#..................#.....#......#....###............#.....#.......#.....
...#..................#.#............#...#......#..#..#......#.........#.....#...#............#..............#.........#.....#.....#..#.....#.#....#.......#...#.........#.........................#...##...#.......#...#...#.......................#........................#....#.....#......#......#......#.#....#..##......#.............#...#....................#.##................#.................................#....#...##.....#.............................#..##...........#.........#.......#.......
...#..##.#................#....##..#..............#..#.....#.....#............##......#.#...........#...........#................................#.....#...#....#.........................#...#........#.......................................#.........#............#......#............#...........##......#...............#.....................................#..........#...............#..........#.............................#..#.........#................#..#..........#..........#.#................##
..............#.........#....#...........#.#................#..#...#.#.........................#............#............#...........#..........#........#........#.....................#......................#......................##.....................#..#......#......#................#............#...........................#.........#..........#..............#..#..#....................#..#....#...#........#........#......#........................#..#........#....................#...##.#......
....#.....#............#...............................................................#.#......#.....................#....#...............................##.............................#.....#.............................#..........#........##.........#......#....#...#...........##..#..................#...#................##.........#...........................#.......#...........#..#..#.....................#.........#..........#......................#............#.....#.......#.......#........
.......#...#...........#......#..#........................#...#...........#..#....#.........#.............................................#.....#....#.............#..........#.................#.........#...................#..........#.....#....................#......#.......#.......#..........#..#....#..................#..............#..#...................#..#.....................#......................#....#..................................................#..............................#.....
............................#..................#..#.#.........#....#..................##.........#......#............................................#....#........#..#............#...#.....................#......................#.............#............#..............###..#.#.................#.....#..............................................#........#......#...#......................#..#...........#.....#................#.................................#...#..................#.#...#...#...
.#................#....#......#....#................................#.#.#.....#.....#..#......#.#..............#.#....#..............................#...#...........#......#.#........................#............#..........#................##.............#...............#.........#.........#......#................#......#.................#..#...#......................#................#............#..#.#..#.#....#...#..............#....#.#..#...#..........#..#..#................#..........#......
....#.#...........###........................#..#....#..............#........#......#.......................#.................#..#.#..#......#...........##...#........#..#............###.##.......##.................##.......#......#..#.......................#..........#........#................#.........#..............#.#.......#.......#..........#.......#...........#.............#........#.....#........#..#..#..#......###..#.....#........##...............#..#..........#...#...#........#........
......#...............#.#.#................##..#.....#.........#.#.......................#................................................#........#..#....##.....................#...................#............#....................#.#........#..#...........................................#................#........#..#.............#.....##.....#......#.#...........#......#.....#..........................#.#...#.#................#...........#...#...........#.................#....#............##..
.........................#.......#.#......#....##..##....#....#..#....#.......#..#.....................#.#.#......#............................#..........#.....#.................................#...#.#.....#................................#..#...........#...........#..............#.......#...............#.#........##.#...#...##............#.#.......#......#...#......#...............#....#......#...........#...#.........#..................#.#.....#.........................#...#.#.....#.....#.....
...............#............#........................#..........#..........#..#.....###....#......................................#.#..........#...........................##........................................#........#..#...............#.........#..#...........#.............#.........#........#....#..#.#..#.#.......#...#.....#....#.........#......................#.........#..................#...#.#................#.............#........#...#.....#...#..........#.....#................#......
...................#.....#.#.#..........................................................#..............................#...#...............#..#..#........#.................................#........................#................................................#.....#.....#.........#.........#...............#.............................#..#........#..#...............#.............#................#...........#..#.##............#..#......#...#.....##......##...#...................#.#...........
.#....#..................................#.............#.............#...#..#............#...................#.................##.........#..........#.............#.......#....#..#.#...#...#.#.#....#..#.....#......#........................##...#...................#......#.........#..#.....................#...#..##...#..##.#..#..........#...........................#.........##............##....................#....#.........................................................##..#.###..##............
................#.......#.............#...##...........#...........#..#.........#..........#.....#......#.........#...............#.#.........................#........................#...................#.................#.............#...#........#................#.......#..........##........#.#..#.#.................##.......................................................#.....#.....#..##...........##...............................##....#...................#..........#.#..#..##...#.#.......#..
..#....#.....................#...#.....#..............#........##....#........#......#...............#....#....#.#.......#.........#..........##.....................................#...#........#........................#.............#..#...........#...#.....#......##.....#....................#..#.......#........######...#.........................#.........................#......##.......#.#.....##.........##........#..#.....................###.........#..#....................#.......#...........
......#.......................#...#....#............#.##......................##..........#...#.........##.........#....#...........#.........#.............#...................#..#........#.#..........##................#...##.......#..........#.....#...#...................#....#....#..#..................................#....#...............#....................#............................##........................##...#.###....................#.#.....................#....#......#........#......
......#....#......##.......................#..........##.#.#................#.........................#.......#....#....#...#.............................#..............................................#........................##......###................................#.................#.#..................#.#...##..#.........#....#.....#........#.#.......#............#........#.....#.........#...........#..#.....#..#.......#.........#.#...................................#..............###.#.#..
............#.........#...#..#........................#.................#..........................................#...........#.........##..................#...#...#.#.................#...............##................................#..#........#..#.....#..#..................#..#.#....#.....#.............#......................#......#.#........#............#.............#.....#..#...#.....#......#.#...............#......#.#....#..........#..#..................................#..#.....#.......
..............................#.....#..............#.#.............#..................................................................#..........#...........................#.#..........................#..#......#..#..........#...............#..........#.......#...#......##.....#.............#...............#.#..................#.##...........##..................#............................##...........................#......................#.#...#.#...#.##.............#.....#.#.......#.......#
..........................#.##..................#..............#........#.#...#.#.........#.#.#....#........#........#.....................#...........................##.................##..#...........#...#........#.....#.#.........#........................................#..........#..#...........#...#..#.........#...#......##..#.........#..#......................................................#..........................#..........#............###...............................#..............
................#......#......#................................#........#................#....##...##...........................................##..................#.....#...#...................................#.......#......##.#.....#..................................................#.....#....#...................................#........#......#..........#..............#...............#...................#..#...............#...#................##......#....#...#.#.............#....#......#....
...#...#............#...........................#............#....#..............##........#......................................#..........#.........................#.........#.#...#.............................#.....#...........#.........#.......#......#......#......................#.....................#..#......................#..................#.......#.........#....#.........##................#......#......#.#.....#.........#............#....#........#............#.......................
...#...#..##.....................#....#....##..........#.......#.#.......##.....#..................#..............#...#..#...........................#...............................................#...#......#..................#.#..#......####..##...........#.#............#..#........#.......#.......##.......#.##.................#............#.............#...........#..........................#...#.....#.....#...#........#.............#...........#...............#......#..#.#.......#....#......
....##.#.................................#...#...#..#..........#...........#...#.#...##..................................#...#..........#..................................#..........................#....#...................#.........#....#.......#......#.....................#..........#...#..........##..................#............#.................#.....#...............#...#........#........#.....#........#...............................#..#.......................#.......#.....................
.........#...#..#...#.........#.......................#..................#...#.....#...#.........##...................#...#.........#..............#.#.#.....##.#........#.........#...................#...........#...#....#.#.............#....#...........#..#..#......#..#.....#..#...#..#.#.....................#...............##.#.......#.........................#.......................................#...#....#.........#............#..............#.....#.......#....#.....#...#....................#
..####..#...#....................#.....#.....#..#..#...#.#...#.#............#..........#......#.......#...##........................#...............#..........##.......#..........#.....#..........#....#...............##........#......#...............................#.#.#....................#.....#....#........#............................#...........#....#.......................#..............#......#.........#...........#.................................##....#........................#.........
...#..#...............#............#...#....#...##.......#..............#...#....................#...#......................#............#..#........#..###............#........#..#...#.........................#..##................#...................#.....................#.........................#..........................###...........#...................#..#................#..............#............................#......#...............#............###..#..........#...#........#...........
..................#...............#...#..........#...#..............................................#............#........#.........#.........#.........#...#................#.............#.................#...#.......#..........#.#........#...#...............#..#....##........#..........#....#........................................................................#....#...........#...........#......#......#.............................................#....................#......#.............#.#
.....#....#..............##......#.......#.............#..............#.#...#......................#....#.......##....................#..................#.....................#..#...#.....#..............#.........#................................#.........#.............#.......##...#...................................#........#...#.....#...........#....##................#....#...........................#.#..#.............#.........#.................................................#.......#......
...#........#.#.....#.#...#.......#.........#......................#.........#.....#........#.#......#.....##....#..#...........#...#.#...###.........#............#...#.....................#...........#....#..#.....#.....................#.#........#....#.....................................................#.........#.#..........#......................................##..#.........##.#...................................#......#...#.....###..........#.............##....................#...........
..##..............#.....#.#........................##.#....................#...#.........#.............#.#........#...........................#.#...........##....#............................#................#........#.........#......#.......#........................#...............#................#...............#.#.#.......##........#..#..............#..............#...................................#.....................#.......#.........#...#.......##..................#..##...........#....
......#............#.......#.#..#....#..#.#..........................#............#.....#...................#..##......................................................#...................#....#......................#........#....##..#..#.............................#...#...#..#..#.................##.......#.............#...........................#...................#.....#.......................................#...#.........#........#...#............................#....#......#................
..##........#...........#......#..#......................................#.....#......#.#.............#..................##.#.........................#...#.#..##.........#....#........#..........#..#..........#.#................#......#.............#.##..#.....#........................#....#....................................#..#.........#..........#.#............#......................#.#..#.#.....#.#...........#..#............................#...................................#..............
....#........#.#................................#.#................#..........#....#.............#...................#...................................#.............#............#...................#..#..##.....#..............#..........##..............#.....................................#..............#..........#...........#...............#..#.......................#.........#.......#...#......#......#.....#....#.#..#...........#........#....##...........#................#................#
......................#..#....##.#......#..........#......#.............#................#...##....#..............###...............#.#....#.............#...............................#.......#...###...................#..#...........#..#....#................#...........#.....................#.........#.#............................#....................#..#.......##..........#..#...............#................................#..#.....#.....#................#.#....#.......#......................
...........##..###....#..........................#..#..............#..#.#..#..................................................#.#.............................#..........#......#...................#....................#.....#.........#...#..........#............#......#.....................#...#.#....................................#....#......#...#....#..............#.............#....................................#...#..#....#..#.....#............#..............##.....#....#...#..........#..#
..#............##........#....#......##........#............#............................#.....................................#................#...............#.......#.....#......................#........#......#....................#..........#......##.#...........................................#.....#.......................#...#....#.#...#.....#.........#.#.........#..........#.....#.#...#......#..........#...#..............#......###............#........................#..#...#..........#..
.................................#.............#....................#............................#.#..#...............#.............#...#.....#.....#..........#..........#....#....#......##.......#.#............##......#.##...........#....#...........#..#.......#....#....#..........#........#........#.#..................................#....#....#...#..#.....................#....#....#.#.......#.......................#......#........#...............................#..............................
...#...........#..#.................................#.................#.....................#..#......##........#...##....#.............#...##.............#.........#..........................#..#.#................#.........#...................#..#.##..#...........#...........#.........................#.#.......#......#.......#......#.....#.#.......#..........#..........#....##...#.#........................#........#....#.#..##...#.........#..#.............#..#.....#...#.........................
...#............#...#..........................#..................#.......#.#..#...#..#.............#................#.....#....##........##................#.........#..........#....................................................#......#........#.#............#.....##.......................#.......#.............#....##...................#.....#.#......##.....##.......#......................#.................#.#...#.#.....................................##......##...#.#......#........#..........
..#....#......#.............#............#...................###.....#....#........##.......#.......#...............#.................................#........#...........##.......#.......#......................................#.....................#.........#...#.....#...#.......................#........#.................###....#..........#...............#.....................##.#....#...........#...........#......#.....#....#..................................#.....#....#.#.......#......#.#...#
.##............................#..#........................#...............#.........#...................................................#.......#....#.#......#.....#..............#.#...#........#................................#............#...#..##....##....#..........#....##....#..#.....#......#....#...........................#......##...................##........#...#.......#...#................#........#....#..#.....#...#................................#.....#.............#.........#.......
.....................#..#............#...........#....................................#..............#..#............#......................#.............#.....#......................#........#.....................................#.......#..........................#.....#..............#...........#.....................#...#...#.........#.....#.........................##............................##...............#....#........#...#.................#.....#........#......#.#...........#..........
.......................................#.......#........#.###.....#...#...#....#......#.#...#.............#............#...............................#...#...........#....#.....#........#..............................................#...#.##....#............#....#..................#..................#................#...#..............#............##.........#..........#.#.....#....................#..##.#...............#.............#...........#..........#.................#..........#.........
............#....#.....#........#..........#...........#.....##...........#...................#.....#.......#...#.....#...#...................#..............#.#........##.............................................................#.......#.........#..#....................................#............##......##........#......#.......#.....#................................#.......#................#.......................#...#.....##..........#............#.#........#..#...##......#.#........#....
................#..#............#.......#.##......................#..#......................#.............#....#...#.#.............##.........................###.#.........................#.#.#............................#..........#..................................#.....#............#.#.............#......#...#.....#............#......#.....#.............#.....#.....#......#.......#.....#...#................................#.............#..........#.........#.........#...#.........#.......#...
........#.............#......#..................................#..........#......#.#............................................................#...................#...........#.....#..##...........#.......##.........#..#...........#....................#........#...............#.#.....#..........................#...................#...................#..................#................#...#....#........#..............#...#.....#....#...#.........#...##..#...................#........#.#..#..#..
.......#........#........................#...#................##.##..#.#.#.........................#....................#......................#......#..................#..#.................#....#..........#...#...........#........................#.#...#...............................#....................#..........#..................#..........#..#.#...........#..........................#......#.#.........#.......................#..#.......#......#.#...#......#......#...........................
#..................##..............#........#.............#...#......#.....#.........................#....#..#...........................#......................#......##.#.......#...#........................................#.......................#...........#..........#..##...#...#......................................#..............#........#...........#........#.#...........#...............##...............................#..#...............#....#.#......##......#...#......#.......#..........
..#....##........##.............#.....................#..........##.##.#.......#.#......#.....................#..................#...............##..#.........#....##...............#...#.....................................#................##....#........................#.........#..............#...........#.#......#....#........#...........#..........##..##.................................#.............#................####.........#.......#..................#.......#...........................
...##....#.........#...#....#..................#...............##...#....#........##..#.........#......#......................##......#........................................#...##........#......#................................#.................#..#............##...........#..#..........#.......#...................#.......#......#.....##................#..#..#...............#.##..#....#...#.....#...#.........#.#..........................#...#.....#.......##.........#......#...#.........#......
.#............................#..........#.............#.........#...#..............##....#...#..........##...............#...#..........#.#...........##........#...#..........#..............#.......#...#.#..........#.........#.........................#...#.#.....#...........#..#..#..#..........................#.......#.........#...................#...............................#......##.....#....................#.#...#.#....#.........#.......#...#.................#.......##........#...........
..#............#....#....................##........#...............#..#............#....#.#.......#.#....................#...#..#.........#.#..............#.....................##.....#.#..#......#.#..............#...................#....#....#........#............#..................................#...#..........#.........#................##.......#...........#..#.....#......#......#..#....#........#.......#....##...........#........#................#............#....#..#...........#..........#
...#......#.......#.................#.....#....#............#......#.#..#.#...#...........................................#...#.#....#......................#....#.#...#..............#................................#....#..........#.......#..........#........................#..#.......#................................#.....#..#...........#..........#.......#..#.......#..................#................................#.......#..........#....#......#......#...#.#..................#..............
.#.....#..#....................##..................#..#....#.........#.#.........#..#........#.........#........#.#.#........#.............#..........#......................##...........#.#.........#.#.#......................#...........#.......#.....#.........#...........#.#.#...............#.........##......................#...............#..................#.###.......#................##....#............##.....#.........#.........#.............#.................................#..............
.....##..........................#....##....#..............#..............#........#...........#...#........#...#.....#.....#.....#........##...#.#.............................#.....#..............#...........#........#...........#.....#..#..........##...#.....#..##.......#.......#.#.............................#....#.#..........................#...................#.............#.................................#.........................#.........#....#.#.##.............#.....................#..
.....#.........#.#.#...................#.....#................#..#............#.................................#.....#................#...#.....#.......#.#.#...................#.................#......................##.............#............................#...........#..............#.....#.........#.....#..................#..............#.....#......#.....##................#...#...#...#.#...............#....#....#.#......#..................#.................#...............#....#.#....#...
.##....#............##.....#........#..##.................#...........#....#.....................#.....#.........#...........#....#.............#.....#.........#.#................#........................#....#.....#..........#.#........#..#...#.......#..............................#.........#........................##.....#.........#..#............#.#....#.#................#....#....#.........#.................#.................................................#...........#...........#........#.
..##.#..............................................#.#...............#.....#...................##..............#....................##..#................#...#..#.......#.#...................#............#............#............#..##......#.....................#....##............#..#....................#.....#........#.......#....................#.........#....#......#....#...#.#.#...............#.....#....#..................#......#......#............#...#..........##.......###.......#.#.....
.##.......##...........#.#....#......#............#.#....#.#.....................#..........#....#...............................................................#.......#..#......#................#..........................#......#.#.....#.##..#..........#...#.......#..#....#.............#......#.............#..#.#......#....#........#.....#..#..................##....#..........#..............#.....#...#........#.........................#..#...........................................#..........#
#.......................................#............##........#......#...#.......................................#.#.#...........................##..##..#....#.#........#.....#.......#.....#.####.................#..#..#...............................#............#.#...............#....#...........#.#.#.#..........#......#..........#..................#.......#.#....#.#.....#.............................................#...........#....................#....#.............#.#.....##.......#........
........#..........#..........##.......#..#.................................#.....##....#..........#........................#....#.......#.................#......................##..............#.......#......#....#.................##................................#.................#..#.#...#.....#.................#...#....................#................#..................#.....#..##...#.#.#...#..#........#...............#.............#...............#................#........#......#..#.....
.................#.........#...#...............#...#..........#.....#.........................#................#......#...........#....#..........#.#.............#...............................#..........................#.#......#...#.....................#..#.............#.......................#.......#.......#......###.........#.........................................###..........#..#.#...##........#............................#.............#....##...................#........................
........#................................................#..#...........#.....#..#.....##......................#.......#..#.......#..........................#...#.......#.....#..................#...#.....#......#....#....#....#.......#.#............#.............#.#....#........#.............#...#........#....#.....#...............#.....#...................#.#......#......#...#......#....#....#.......................................#.........................#.....#......#.#....#.#...............
#..............................#.............#......##..#...............................#..............##..#.....#.......#..#.........#........#...............#..#...........#.......#.............................#.....................#...........#..#........#....#...............#.#........#...................................#...........................#..#.#..##......#.....##...............###......#.............................................#....#........#...#...........................#.....
.......#.....#......#.............#......................#................#.............#..#.......#......##.#.................#.........#........#.....#.............##......#..#..#....................#......#..............##...................#........#....#.....#..............###.............................................#...........#........................#............#....#.......#.....#..........#......#......##...#....#..#.....#.....#...#.#.......................#.#...#........#........
...#..............#......#....#.........#...............#..........#....#.#.#...............#.......#......#.............##...#...#.......................#......#......##...........................#....................#.....................#........#.....................##...#.............#..#.............##..#...................................##.........#...................#.........#.........#.............................#.#.........#.........#....#..#........#................#.......#.......
#..............#...#..................#..........#......#.....#.............................#..#..#..........................#....#......#.......#..#.#...#.#....#...#.........#....#....#........#..................................#....................................##.#.......................#............##..........................#....#.#................#..........#..................#..........#.....###.......#.............#....#.#..#.............#..#...............#...##......#...............
......#..#.....#................#..........#...#......................#..............#.........###...........#.#........#.##......#........#............#..#.#...#......#.....#.......#...#......#.##..........#.....#..#...............#..#...#............#...#............#................................#.....................#........#.#...............##..#.......##..................#.....#...#...........#....................#.............#..#.............#..................#.....##................
................#.....................#.............#............##.............#......#........#.....#...........#...#..........#...#.............#.#..#.......................#.#......................#....#............#..#.....#.................#..............#........##....#.............##.......#..................#...#.##................#.......#.#..................#................................#.....#...............#......#.#..#.......#......................................#..............
..........#........#..............#.....................##......#.#..............#...........#.............................#.............#........#...#.......................................#..#................#...................##..#........#......#.......#.#..........................#...............##..#..#.#..###.................#................#.....#..........#...#......#.#..................#........#.......#......#.......#.........##.......#.........#....................#............#...
#....#......#.......#...........#..........#...#..........#.#......##....#.............#...................#.............#....#....#..........#......#........#......#...#............#............#...#...............#...#...............................#........#..#.................#...#....#..#..#.#......#........#.............#...............#...##..#........#..##......#..............#..........................#....#...................#......#......................................#.....#........
........#........#.............#.....#............#...#...#................#.............#.........##.......#.........#.......................#.............#.......#................##..........#...............#.....#........#..........#...#..........#...#..###....#......#...#.........#..........#............#.........................................#...........#.........#................#...................#..........#...#.............#.#....##.....#....#..........................#..............
#.............#...##.#.....#........#...............#......#.........#.#......#...........#........#....#........##.........#..............#......#...............#....#...................#.............#..#...............................................#.#......##....#.......................#............#......#....#............#...........#...........#....#..#..#.......#.....................#.............#.............................................#..#.................#.#..#.#.................
...............................#..#......##.......................#...#..........#....................#......#..#.#......#..........#...........................#..........#...............#..##.........##........#......#........#....#.....#..............#.##........#............#........#..#.........#.....#.#..................#...#.....#...#...#...#..............#..#.#..#........#........#........#..#.....#....#..#......#.#...........#..................#.............#.#.....................#.....
.#.#.................#....#...#.....#..........#..............................#........#...............................#..................##....#.....................#...........#.#..............#..........#........#.....#...............#..........#............#.#.............#...#.#............#.#.....#.....#...................#....#................#..#.........#....................#.#..#....#..#...........................................................#...............#...#...................#
#................#......#.......#.....#.................#.#........................#...#.#..#..............#.....#.#........#........##....#.....#.....#..............................#..........................#.......................#..........#....................#....#.........#....................#..#...#................#..##..#...#.........#...............#.....##....#......#...#.....#....................#............##........#....##.........#...#..................#.............#........#..
#......#..##................#...#..##...........##.....#.#...................##....#....#.................#......#.....#................................#...........#..........#..........#...#.........#........#......#..................#..................................##....##.......#.......#...............#.......................#..#.......#..........#..#..#...................#...............#.........#..##........................................................................................
.......#.......#..###..............#.....#.#........###..............#.............#..#.............#...###...#....................#...........#..##......#......##..............................................#.......#.#.#.........#..#...#...............#.......#..............................#..##..#......................................................................#....##............#..................................#.............##.#.............#...........#.#.#......#...#...#.......#....
............#.........##........#............................#.....#........#.#.....#.....#.....#..........##..##...........#.#.......#......#...#.......#.........#....##.......................................#.#....#.....#...#..#...........#.#.....................#....#.........#........#...#.........#...............#....#....#.#......#.......#......#...#...................#...#........##.................#...#............#.......##..##....#.............##..##........#...........................
...#.................#.........#..................#..#.........#........#.......##.............##..............#...............#..#.#.#.....#.............................#....................#..............#..........#.........#.......#....#.#......###...#.........#............#.#.......##........#.....#....................#........#.........#.#.................#.................#.##.........##...............................#............#............#...............#....#......#..#....#.........
.#..#....#............##...#................#.#..##............#.#...#..#.....#....................##...#.....#.......#.##.....#.#.........#......#.................#.#......#...........#...#........#..#........#..............###...........#............................................................#.#........................#..........#.#.......#.....##......#......#........................#.......#.#................#.........#....#........#........#....#......................#......##.....#...
....#...............#....#.#...................#....#............##...#.#...........#................#.......#............#..#....#..................#....#...##............................#......#......#............................................#.............#....#......#....#.........................#...................#.....#......#.#............#.................#............#.........#.....................#.###.......................##............#......#...#...........#............#..#.#.
...#...#...#...............#..............................#.........#.............#........#..#........#.....................................#..........#...............#.....................##.....##.......#.........#.......#.............##......................#.....#..#..............#...........................#.....#.........................................#..#.....#...#.#..........#.....#......#..................#..............................#.#...................#.....#....#..#........#...
##...........#............#..#....#..#...##..#.#...................##...#................................#....#..........................###.........#..#............#...........#....#....................#....................................................#..............#..............#..........#......................#..........##....#.............#.........#...................#.............#..#...................###.................#.....#....#......#.........#..........#.........##..........#
......#...#......#................#..#.##.#....#........#..............#.#....#.#.........................#......#.#...#..................#....................#..#.............................................#.....#.................##.......................#.##.......#.........#..#..#...#.......#...#.#.................#....##......#.........#...#.....#.................#............#.......#....#......#........#....#....................#...#..#.#....#..............##...#..........................
..#....#.......#........#...................#................#............#.............#..##....#.....#............#.......#......................#........#...............#....#.#...#.#..............#..#.............#..........#...........#........#.......#....#......#................#...............#.....#......##...................##.......#.#..#....................#.....#.#.....#....##...#...................#.#.......#..........................#...........##...........................#......
.#........#.#...#...................#.#...........................##....#..............#.......#......#.................#.#..........#..........................#..............................#..........#.......#.............#.......#....#.............#.......##..#.....##........#..........#...........................##................#.#.......#.....##.......................................................................#...............##...........#.#...#.........#........#......#.##..#.......
....#...............#.........##.........#................#.##.....#...............#.......#................#.........#...................#..#..#.....#................#..............#...............#..........................#..#..#............##.....#............#......#..##..........#.......##...#............#.....#.....................##.#.....#.#.#..................................#.......##........................#....#..#.#..#..............#.........#.#.........#..........#.........#..#...
...#.....#.....................#.............#.....#.#.....#...........................#....##......#.......................#.......##.....#.................#....#............#..#...##..#....#..............#..#.........#.........#..........##.....#.............#........#..........#...#.......#.#.##.......#........#.............#..#.......#.........#......#.#...###..#.#..........#.......................#......................#...#......#............#................................##.#..........#
....#....#.........#...............#..................#...#...........#...................##............................#.......#......................................#...#...#..............#.......#........#.......##........#....................#........#.............#..#.................................#......................................#.....#...................#..#...#....#..............#...#...#.....#..#.......#....#......#............#.....................#..#..#.....##...........#.#..
#............#....#..................##.....#.............#............................#.....#.....##....#.#.....................#.........#.........#..................#...#....#.............................#................#....#..#..........................................................#..................#........#........##.................#.................................................................#......................#....#..............#......#...............#....................
...................##........#....#..........#.#.....#.#.......##.......#......##.....................#......#..........#.............##.............................#.......#.#..#........#.....##....#...................#....#....##......#...#........##..#.........#...##....#....#....##..............................................#..#..........................#.....#..#...........##..#..................#...#..........#........#.....................................................................
............................##........#..#...##.........#............#................#......#.#.............#..#..............#...#..............#..#.#..........................#......#...............#......##..........................#.................#...................#..........#.#.#............#............#.......................#..............####.#...........##....#........#.#.............#.........##..........#.##............#......................#...................#................
...#.#....................#.......#...........#....#.#........#...............#........#..#.........................#.............#..............................##.....#.............#.#.................#..#..............#..#....#..##.......#....#.......#..#...........##................##.........................##...#..#...##..##.........#......................................#........#...#..........#............#..#.......#.#.......#......#.................#.#............#......................
.............#.#..##.....#....................#.......................#.........#...#....#.............#..#.##.......#..#.#..#..#..........#.#..#.......#............#...#.#.#............#...............#...#...#..........#....................#.........#.#....#...............#.............#..#.....#........#.............#..............#..............#.......................##........#............##........#....##............#........#...#.#.#..#.........##..#......#......#.#..#............#......
..............#.......#.#................#.#.................#.............#....................#.#..............................#......#.......#.......#..............#..................#................#.................#..#.............................##..........#.#.#............#....#.#.........#.#........#....#............##....##........#.....................#..........#.#.................#........................##..#..............###.#.#........#...............................#.#...#....
................#.....#.........#...#................#............#.......................................#.........#..#.#.#..................#.......#..............###..........##...................#......#...........#.....#..#.......................#.......#....................#..#..........#..####......................................#..#.........#............................#............#................................#.........................#.....................##.........#.#........#..
............#.....#..................#.........#...#...##....#..........................#......#......................#.........................#..#.........#..........#.................#.#..............#........#..........#..............#.....................#....#....##..#..........................#..#..............................#......##..........#.......#.......#..............##....#......#.............#..............##.......#.........#.#.......#.........#.........#............#........##
......##........#.........#........#..#......#...................#...##..................#.#.....##......#.........................#....#......#..............#.#....................#............#.#.#..............#.#....#.........#.#........#..........#..........#.....#...#.................#....#.#...........#...#......#.....................#..............#...........#........#............................................#.........#......#..........................................................
.........#..........#.#............................#..................#.............#................##........#.......#..........#.......###.#............#.....................#......#....#.....#.......................................#..#......##.......#.#.....#............#....................#....................#...#.......#......#..#.#..#..................#.....#.#.......................#...................#.#.......#.....#.#...............#..##............................#.................
..#.........#....#...........#.........#.......#..##.......#.#........#...#..............#.........................##.................................................#..#.....#.##....#......#........#.....##...#.......#...#.........#...........#.............................#........#.......#...........#..............##.#.....#.....#......#......#.....#....#.#...............................#....................#.....#..........#........#.....................#....................................#.
.....###..................#.........................................#..#..............#................#..#........#................#........#.......#......#.#........#...........#...#..............#...#..#......................#...#.........#............#.......##..#.......#..........#......#............#........##...#....#.....................###....#......#..........#.........#...................#...#..#.....#...................#....#.....#........#.#....................#.....................
..................#.........#........................#..................#....#........#.......#..#..#.............#........#.............#..............#...#....#.......#............#...............#......................#..........#..##.....#...........#...................#.#...........................................#....#.#...............#.............#...##...................#......................#............................#.................#...#...................................#.......
.............#........#..#...........#.#.#..#.......#....#..............#.................#.......#.....#....#.......#.#...#.........................#.............#........................#...#.............#..........#..#................#..#..#...#.....................#..........#..............#......#.......#.....#.......#......#...#........#.#......................#..#....................#.....#..............#.......#..................#........#.......#....#..##.........#..#.#...............#.
.....#..................##........#..#......#.....#............#...#......#....#....................#..........#....#................#.#..#..........#..........#................................................##.#.....##.#..#..........#.#...........#..............#........................#........#...........#........#.........##.#.............#.............#.......#.......#........##............#...#..........#..................#.....#.#...........#....#......#....................#...##....#...
..#..................................#...#..........#......#.........#...........#.....#....#.#................#.#...............#...........#......................................#..........#........#......#...#.....#...................#..........#.......................................#..#..##......#.#......#.....#.....#..#..#......#...##.............................##...........................#..#.#........#..........................##......#..#..#.................###..#.........#...........
.#........##....#......#...#....................#...#....#.#................##.......#...............###......#.......#..........#.....#.#.#.......#...#........#.................................#...#......#......#....#..........................#.....#.....#.#.#.#....#.........#........................#...............#.#.#.....#..............................##.#......................#.............#.....#....#.#...........#.......#...............#.#....#.#......................#...#...#.#.........
#.........#............#..........#....................#..##......#......##...............##.......#..#...#...#..............#....#.#..#..........#.......#.................#....#......##.#..............#........#...##....#...........#.........#..........#.#....................#..#..##..#.#.#.................#........#.....#.#...#...#............#..........#.....#...............#........................................#..#......#....#...#.......#........#..#.............................#.........
........#...............#........#..............................#.............#.#................#....#..........#............................................#.#..#...........#.#......#.............###............##..#.........#...##...#............#.......................#..........#...#............#............#............#...#.....#.............................#...#...##..#..............#....#...#..........#...................#.#.......##........#.##.....#...#...........................#...#
......................#.....#......#....#................#...........#..#....#...............................#.......#.........#.......#......#...#............#.....#.............#..#....................#.#....#..#......#.......................#.........#.........#.........................................#.........#..............................................##.............#.#........#........#...................#..............#.#.............#....................#......#..........#...........
..............#..#..............#.#.............#..#..........#..#.#.........##.....#.#........#.......#.......#........##....................#.......#.....#.........................#.....#...............................................#...#..#.#..#...............................##................##...#............#..#......#..##.#.....#........#...#............##...........#.....##.#...#.......................#......#..............#...#...........#.......#..#.........#......................#...
..#.................#..................#..#............#.........#.#...#..................#......#....................#.............#......................................#.....................#....##.#..........#..#......#............##....#.#.......#............#.......#.........................#..................##.............#..........#......................#...............#...#...................#.............#........................#...#.....................#...............#............
..............#..............#.........#...............#.........#.#...................#..................#...#.......#..........#......#...........#..................#.......###.................#.#....#.....#...#.....#.#..........#....#................##.........#...#.##........#..#...#..#.................................#...#......................#...#..........##..#....#.##.....#...........#.....#......#......##......#.......#.......#..#.......#.......................#........................
......#.....#.......#....#.....#...#....#.....#..#....#......#.............#........#..........#..#..............................#..........#.....#.....#............#..#..................####.......#....................#..................................................#.#........................#...#.........#......##...##.#..........#............#.....#........#..............#...#........#.........#.......#.#.#....................................#.................#...#.#.#..............#......
..#..##.....#........#....#....#........#.....#..............#.#...................#...............#........#..#...................#......#.#..................#..........#.#........#.......#...#......#...................#..#..............#......#..#............#.#....#.............#.#...#........#.......................................##......#....#.#.##........###.........................##....#............................................#...............................#..............#.........
#.....................................................#.........#.....#...............#.#.#..............................#..#...........#............#..#...........#.....#.....#....#..............#....................#.......#......#.....#...#..#.........#...............................#.......#.#.....#............................................#.....#........#..#...........#....#....#..................#.....#.....#.......................................#.#.........#.#...........####.....##....