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eliax1996

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eliax1996
Dec 14th, 2023
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  1. from functools import cache
  2.  
  3. text = """
  4. O#...OO.#.#..##.#..#O.OO...O##OO.......#......O.O...O..........O..#O..O.#.#.O.....##O.#O.##.........
  5. .OOO..OOO.O.#.....#.....#.#.....O..#..OO..#.....O#O##..##O#.OO....O##.OOO..O...#....O....#O..#...O..
  6. OOO#...O#...##.OOOO##.O..#.....O...#.O..#...#.O..OO..##.#....O#O..#O#..##...O.OO..#.#........#O....O
  7. O..#..#...#.O##.......OO#.#....O.##.O..O.O#.O..O#.....#...O..OO.O.#......O.###.........#.......##...
  8. ..O.O.O..#O..OOOO..#..#..O..O#O...O....#.O#........OOO#.O...O..O#.#.O........#......#O.O...OO.#.O..O
  9. #..O.#..##....#...O..........#..O.#..##.O.....O.O.O..O..O.O.#.OO#.#..##.........#OO.O....##...#..##.
  10. OO.O#.#.O...O..#..#OO..O.............O.........O.#.......#OO#.O.#OOO.##OOO..OO#.....O#.O.#O.O##OO...
  11. .##...##O.....O..OO..O#.O.O.#....OOO.O.O#..#O#..#.O.OO...####O#......#.#O..O.O....#..O....#.#.#.O#.#
  12. .....#O..O.O.#......#..........#.OO...O.#O.O.....O.#OO.#.#.O#......OO..O.O.....#...O.O..OO...#O.O#..
  13. .O..#....#....OOO.O.#....O#O###....O.O#OO.............#...OOO.....#....O..O.......###............O..
  14. ..#O.#....###..O...#.....OO#O.....#....###..O#.......#OO....O.O...#....#.O.O.#..O.##O...O..O#...##..
  15. O...O.#O.#O#....O.O#.......#............OO.....O.#O..O#O....O##O.OO..#..O..#O..O#O...##O.O.O.O#..O.#
  16. O#.O......#.......O....#...O.....#O#.#..O...O.###O.OO#.........O.....O..O...#.#O.....OO#..O.#...#...
  17. .#...O.......O.#.....O.......O.O..#....#..O#O.#..O.#..##.......##....O.#.....O........OO.O...O.....O
  18. ..O..#.#O.O#...#.......#O#OO.#O....O...#O..O.O.#O.OO#......OO#....#...O.#...#O.#...O.#.OO#..O.#OO.O#
  19. .O.......O...#.......#....O..O......O.O.O#O.#O...O.#.....O..O...#OOO#..O...O##..OOO#....#..........O
  20. OO#..##O.O.O.O.#....O#.O#O.##..O......#.#.O.O..O.O...OO#.......#..O.#O.O#.OO....#O#O.O.O.#.O#O#.....
  21. #O#.O.......##OOO..OO...O#..#..O.O.##.O#....#OO....#...OO.#..#..O.......O#O.......#.O.O............O
  22. ..O.OO.O#..OOO....OO.O...#.#.......#.O.......O..OOO.##.##.#...#.O.....O..O.......O.O.#..............
  23. OO#.....O.O.#.#...#.#.....O....#.#O..O......#..#..O...#.#....O#..OO....O.#.....O...O.#.O..#.........
  24. ....O.#.O...O#....#.O.#.......O#.#.O##......#...O.#..O#..#.#O.O...#.....O......#O#.#.#O....O..O.O#.#
  25. .....###.O.O.O#.O.......O..OO#...#.#...#..O......#O....O...OOOO..O...#.#.#.#.O#..O.......OO.....#.#.
  26. ...O.O...#O..O..#..O#.O....#O..#..O...#.O.O.OO....#O#O#.OOO##..#O..OOO#.O.O..O....#...O#..O...#O....
  27. .##.O...O..O.#.#OOO..O..O...O........#O.OO#..#OO......O....O.##...#..O#..O#...#..O.....O...##...O...
  28. .O.#.O#OO.#...O....#.O.O..OO.O#O...O#..##...O.O...#...O#OOO.....O.........O......#.O.#...........OO.
  29. O....O#O...#.OO#...#.........####..........O.#...#...O.O.O#.O..............##....O..O..O..#.#...##.#
  30. ..O.OO.#.OO#..O.#O....O......O.............#...##...#.O..#..O###.#......O..##.O.........O.#........O
  31. O...#....#.......OO...O#O.......#.....#....OOO.#...OO.#O..O.#......#.##O....OO....O#.#.O..O...O..O..
  32. ...#...#....O.#..OOOO#..O#..#.##O.#.#.O..#.O....OOO....#..#..#....OOO...#.O.O...#.#.#O.O..O.#..O....
  33. ...O#.#...O.#.##O..O#..O.....OO#O...#.OO#..OO#O..OOO.O...#...O.#.O....O#...OOO..O...O....O....#.#..O
  34. #........#..O.###.#...O#.O#O.........##..O.O.#O.O.###O....##.#.#.#..O.#O....#OO#O.....O.........O.##
  35. O.O....#O.....O#...O#.....O##.OOO.#O.O..O....O..O...O....#...O.........O.#.O..#.#.O.O#O...#.#...O..O
  36. .O..O##.O........O.OOO#O...#....O.OOOO#O..O..............O..O.O.O...#..........#......O..O.O.#......
  37. .O....#OO#OO...#...O.##O.....#O.#.O.O...O.....OO#.O.......O#...#O..O#OOO.........##.....##...#...##O
  38. .O#..OO....OOO..#.......OOO...##....OO..O.O..........##...#.#...#....O..#....O..........#.#.#O#.#.O.
  39. ##.......#O...O#.OO.#..O.O.O....#........#.O..........O.O.O..O.....#.OO#...#O#.O.OO..OO.O#..##....O.
  40. ....#..#..#O.##O.#....#.#.OO.......##..O#.#.##......O.O.OO..##...O.#....#..O.#....#.O....#...#O..O..
  41. ..O....#...OOO.#O..#..#...O..OOO..O#..#O......#..O...#.O..O.....#O...O#......#.......#O.O.........O#
  42. #.OO....O....###....#OOO..O.#..#........#OO.....#O..........#O...#..O.OO..#......##O..O##.........#.
  43. ....#..O..........O.#.#..O.O.#....O..O....O..OO#....O.......OOO.....O.O.O..#....#.....O.O#.O#.##..O.
  44. #.O...OO..#....O.O..O...#O..O#.#O.#...O.....##..O...O##...O........#O..#O..O#.O.#.......O#.#...#.OO#
  45. .#.OOO#....#..O........OO....O#..###.O....O...O...O#.#O..#.OO........##..#..#...O..#.......OO...O#..
  46. .....OOO.#.O....O....#....O..O.O.O.O....O...#OO....#.OO#OO...O.OOOO.O...O.O....#OO...#O.#O..O....#..
  47. .#.#..........#O..OOO...#..O...#.............OO....#O...O#..O...#........O..#O#....OO.....OO##.O...#
  48. ..OOO.OOO##.##O#...O.O..O......O#O..O##...##....O.#........O....##...O#O..O#.O...O.O...O....O.......
  49. ..###.OO#..#.O.#....#..O..OO..O.###....O....#..O.O#.#......OO.....O#....O.OO....OO.O.O.O#........O..
  50. #O###.#......O......O......#...O#.O.O...O#OO.O#....O..#..O#.OO...O..O..#..#.#...#..##OO...OO....O..O
  51. ..O...#..#O##O...#..#.#OO........O.#....O....................#...........#.....O..#...O#.#.O.O..#.#.
  52. O...#.O...#O..#..O.O.#.....O.#....O.O...##......#..#..OO...#..O..OOOOO..O..O...#..O.OO...O.O#O.#....
  53. ........#...O.#.....O.O..O....#....#O......#..#........#O#.....#O##..OO.O...#......#OO.O#.O........O
  54. .O..##..O#....#....OO.#O.#O#OO#O.#..OOO#.......OO....O.#.....O....#..#..##...#O.....#....O..O....O..
  55. ...##O..O.#.O..#.O.....#..O#.##OO#O#...O.##..#..#......O.##O.OO...O.#..#.O....#..O....O.O.........#.
  56. ...O..O.#..O.#O#......O.#OO.O.##.##..O###.#.O........O..O..O#...#.O...O.....##....O.OO..#..O..#..O#.
  57. O....O......#..#O#.O....O...O.....#.O##O.O...#O.#O...O...#O...O.O#O...#O.#.#....#.#.#O....O.....OO..
  58. .O.##..###....OO................OOO.....#.#.OO.O...O#.OO.#..O........#...O.O#.O..O.O..O.O...O....O..
  59. ...OOOO..O.#..O.#...O.##.O.O##.#..O.##..#.....##....O.O....O.O.##O.OO.#O.........#.##.O#...O.O..O...
  60. ...O.O..#O.#..OO.#.#O#OO..#OO.O......O.O.OO....#..OO.......#O..O.##....O.O..##O#.#....OO.....#.O...#
  61. OO.....O....#O...O#.#..O...O#.#.O..#OO....O..#..OOO...O.........O....#.###O.OO....O....O............
  62. ..O..O.....#O.#O#OO..##.O.........#..##.##.O..O#O#..O.O..O..O...###.....OO.......#.##..#O##..O#O..O.
  63. #O.#O...OOOO.O.###....#O..#O#O#.OO.....#O..#..#...O.#O.....#O....###.O....#..O...O..O....#......#...
  64. O##...#.....#..O.#.O.#.......#..O#.....#.O.O.#...O..O....OO.....#.O###.#.....OO....#OO..OOO..#......
  65. ..O......#...#O..OO#O#OO....O.O.OOO.#O.OO.O......#....O##..O#.OO.##.#...O.##.....#...####.......##..
  66. .......OO#.O.O.#.O.......#O#........#O..##OO#.#O..##..OO.##OO....#..O......#..#.O..#...#.O.....OO...
  67. ###.OO.O.O#..O.......#OO#.....#..O.O..O.O.......#..#O.##..#O..#..#...#O#......OO##O#OOO#...O#....O.#
  68. #O#.O.........#..O.#..#..#..............O..O..#..O##....O.##..O..O#..O.....#OO..O.#.......O....OO...
  69. #O#O....O#.#.O..O..#...#..#.#...#O.....O..##..#....O#.#.O.O.O...O.#...#.O....O#....#.....#.#..#...#O
  70. O...O........O.#..OOOO..#...O#O....##.O..#.......#..O..#..#O.#...OO..#.O..##..#...O#O.##.....#..#.O.
  71. O..#.##.......O..O......#..#.#.O...O#.O.......O#.O.O#O..#.O#.OOOOO.#OO.#.OO#....O....#...O####OO...#
  72. #O..O....O..#O..O.OO.#.O.##...#O#.....O...#.....#......##......O#O#.........#..#.O...O.O..........#.
  73. OOO.#.O.....O..OO.O#.#..#.#..#.............O#.......OOO#OO.O.#.#O...O.#..#...#..O...#.O#....O..O..##
  74. OO#........#.O.O....O#O...#O.#..#.#...#......##.......#..#..#.#.#.......O...##...O#...O..O.......O..
  75. O..#O......O....#O.O#..O........#......##..#...#O...OO....#.#...O........O.#O.......O.....O...#..O..
  76. ..#O#.......O..O..O..........#...OO.#..OOO....O....#OOO#..O.....#.O#....O...#O.......#..#.O...#..##.
  77. ...#O...O.OOO...O#.....#..#....##..#....#OO..O.OO#O.O#..#.O#O#O.....#OO#O...#.#O......O.....OO.....O
  78. ..#...O.O.....O...O##O..O.....O..O..#O.O..O....O.#O....#O....O..O.O......O.....#..#....O......#.....
  79. O.#...O..#O.#...O.O.O..#..##...O.O..O#..O...O#....O........O#O.#O.#.O.......#.O.O..O.......OO.#.....
  80. O#...O.O#..#O#...............OO##.#..#...#O....O....#O.OO.O..O#.O.....#O.....O..O...#..#..#...#..O.O
  81. ....OO.O#.#.......O..O.O.#..#.O#.O.....#............#....O..O..O..O.O..#..#..O.....#O.#O.#.O...O..#O
  82. .....#...OOO...#.O....O#...#.....O..OO....##O.OOO..#.O...#...O.##.O#O...O.....#.#...O...O.##.#.....O
  83. ....##...O#O..O...##O.OOOO...#.#.....OOO..........O.O....O.#O.#..O#..O###...O....#.O#O......OOO..O.O
  84. #..#...OO##OOO.O#....#O#.O.....O#.#...##.#O..OO.#.#.O.O..OO.O#.........##.....O..O#..O......O.....##
  85. ..O..OO.##O.##OO...O#.....#O.O..........#.#.......#..#..O....O...#......#..O.#.#...#.....#OO........
  86. O.......#O.....O....OO#.#..O.....OO..#..OOO.O....O##O#O.O....OO#......#.#.O......#.OO.O.#OO....#....
  87. ....O...#.O....##.OO.....#O#.O...O....O#.O##.....O.#.O#........OO##...O..#.....O...O.....O...#..O#O.
  88. #.OO.#.O##....#..O....O..#...OO...#....#.##...OO....#O.........O..#......O.OO..#..#..##......#O...#.
  89. O...#.O.##..#.#OO#.O#.O###.O.#...O#..O###.......#....O.#.........O..O..#O#..O.O.O..OO..#.#...O#..O..
  90. ......#..##..#..##...O#......#..#.#O#.....#.#.O...#.#O..#O..O.O.#..O.O.O....O....#....OO.#O......#.O
  91. ..OO.##.#....O.O...O.#.....##O..#....#..OO#.#...##......#...OO...#.....#...#O..#O...#O......O#...O#.
  92. OOO.O##O...O..O.O#.##O#..OO.#.O..O...O.#O..O..#.#...O.O.......#O##.#..#.#.O.......O..OOO#.O....O#..O
  93. ...O...OO.O...OO...O.....O#.#.#O.O.O.O..O..O...OO....O..###...##....#O....O...#.#.##....O....#O.O..#
  94. ......#OO.........##.O...#..#.O.#..OO....O..O..O.#OO......OO.O#.......O...#..O.O#..OO.##.##.OOOOO...
  95. ........O.....##..O.OO..O#.....O................O........OO#...##.....O#....#...#O.O..O...#.##..#O.O
  96. #OO.O.O.O.O#.OOO....#O#.#....#...#O#O.#.....OOO.....#.O..##.O##..O...........#......#...O.#.#.O.....
  97. .#O.........#.O.##O..#..O.O...OO..#..O.O#OO#..#O.O.O....#......O.....OO#..OO#.O.O..#.#.#OO.#..O.....
  98. ...OO.O#O.O#.O.......O#..#OO.O.OO..O#.O.OO.O........O.OO..#..O...#.#.#....#.#.....OO.#.O..OO.....#..
  99. ###.....O..#...OO.#OO........O....#O#OO...#.O...#.....#O...#.##..O..#O#..O##.O#.O.....#.O....#O...#.
  100. #O#.##......O....#.O##..#.......#.#..O......O.OOO.#....O##.#.O..OO...O..#...#.###......OO....O#.#.O#
  101. #OOOO#.#...OO..O..O..#..O..O...#OO.O.O.O#.#.##..#....####..O#....#O.OOO..O#O.#...O....#.O......O....
  102. .##OO....#......O..OOO......#..O.....#..O...O..#.#.........OO.O..##.......#.#O#.OO......O#O..O......
  103. ........OOO.....OO........O.O.O.#O...#...O...O...O..O..#.....#O..#.#..OO....O...#..##..#O......O.#O#
  104. """
  105.  
  106. # text = """
  107. # O....#....
  108. # O.OO#....#
  109. # .....##...
  110. # OO.#O....O
  111. # .O.....O#.
  112. # O.#..O.#.#
  113. # ..O..#O..O
  114. # .......O..
  115. ##....###..
  116. ##OO..#....
  117. # """
  118.  
  119. game = tuple(tuple(line) for line in text.strip().split("\n"))
  120.  
  121.  
  122. def display(board):
  123.     for i in range(0, len(board)):
  124.         for j in range(0, len(board[i])):
  125.             print(board[i][j], end="")
  126.         print()
  127.  
  128.     print("\n\n")
  129.  
  130.  
  131. @cache
  132. def rotate_north(game_board):
  133.     board = [list(line) for line in game_board]
  134.  
  135.     print("computing new board")
  136.  
  137.     for i in range(0, len(board)):
  138.         for j in range(0, len(board[0])):
  139.             if board[i][j] != "O":
  140.                 continue
  141.  
  142.             destination = i - 1
  143.             while destination > -1 and board[destination][j] == ".":
  144.                 destination -= 1
  145.  
  146.             board[i][j], board[destination + 1][j] = board[destination + 1][j], board[i][j]
  147.  
  148.     return tuple(tuple(line) for line in board)
  149.  
  150.  
  151. @cache
  152. def rotate_south(game_board):
  153.     board = [list(line) for line in game_board]
  154.  
  155.     print("computing new board")
  156.  
  157.     for i in range(len(board) - 1, -1, -1):
  158.         for j in range(0, len(board[0])):
  159.             if board[i][j] != "O":
  160.                 continue
  161.  
  162.             destination = i + 1
  163.             while destination < len(board) and board[destination][j] == ".":
  164.                 destination += 1
  165.  
  166.             board[i][j], board[destination - 1][j] = board[destination - 1][j], board[i][j]
  167.  
  168.     return tuple(tuple(line) for line in board)
  169.  
  170.  
  171. @cache
  172. def rotate_east(game_board):
  173.     board = [list(line) for line in game_board]
  174.  
  175.     print("computing new board")
  176.  
  177.     for i in range(0, len(board)):
  178.         for j in range(len(board[0]) - 1, -1, -1):
  179.             if board[i][j] != "O":
  180.                 continue
  181.  
  182.             destination = j + 1
  183.             while destination < len(board) and board[i][destination] == ".":
  184.                 destination += 1
  185.  
  186.             board[i][j], board[i][destination - 1] = board[i][destination - 1], board[i][j]
  187.  
  188.     return tuple(tuple(line) for line in board)
  189.  
  190.  
  191. @cache
  192. def rotate_west(game_board):
  193.     board = [list(line) for line in game_board]
  194.  
  195.     print("computing new board")
  196.  
  197.     for i in range(0, len(board)):
  198.         for j in range(0, len(board[i])):
  199.             if board[i][j] != "O":
  200.                 continue
  201.  
  202.             destination = j - 1
  203.             while destination > -1 and board[i][destination] == ".":
  204.                 destination -= 1
  205.  
  206.             board[i][j], board[i][destination + 1] = board[i][destination + 1], board[i][j]
  207.  
  208.     return tuple(tuple(line) for line in board)
  209.  
  210.  
  211. @cache
  212. def cycle(board):
  213.     new_game = rotate_north(board)
  214.     new_game = rotate_west(new_game)
  215.     new_game = rotate_south(new_game)
  216.     new_game = rotate_east(new_game)
  217.     return new_game
  218.  
  219.  
  220. @cache
  221. def points(board):
  222.     tot = 0
  223.     points = len(board)
  224.     for i in range(len(board) - 1, -1, -1):
  225.         for j in range(0, len(board[i])):
  226.             if board[i][j] == "O":
  227.                 tot += points - i
  228.     return tot
  229.  
  230.  
  231. combinations = set()
  232. first_in_repetition = None
  233.  
  234. for i in range(0, 1000000000):
  235.     game = cycle(game)
  236.     if i % 200000 == 0:
  237.         print(f"Percentage: {100*(float(i)/1000000000)}")
  238.  
  239. print(f"points of the final position: {points(game)}")
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