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  1. +---+---+---+
  2. | X | 0 | 1 |
  3. +---+---+---+
  4. | 0 | 1 | 0 |
  5. +---+---+---+
  6. | 1 | 0 | 1 |
  7. +---+---+---+
  8.  
  9.  
  10. +---+-----+-----+-----+-----+
  11. | X | 0 | 1 | 2 | 3 |
  12. +---+-----+-----+-----+-----+
  13. | 0 | 1 | 1/2 | 1/4 | 1/4 |
  14. +---+-----+-----+-----+-----+
  15. | 1 | 1/2 | 1 | 1/4 | 1/4 |
  16. +---+-----+-----+-----+-----+
  17. | 2 | 1/4 | 1/4 | 1 | 1/2 |
  18. +---+-----+-----+-----+-----+
  19. | 3 | 1/4 | 1/4 | 1/2 | 1 |
  20. +---+-----+-----+-----+-----+
  21.  
  22.  
  23. +---+------+------+------+------+------+------+
  24. | X | 0 | 1 | 2 | 3 | 4 | 5 |
  25. +---+------+------+------+------+------+------+
  26. | 0 | 1 | 1/2 | 1/2 | 3/8 | 5/16 | 5/16 |
  27. +---+------+------+------+------+------+------+
  28. | 1 | 1/2 | 1 | 1/2 | 3/8 | 5/16 | 5/16 |
  29. +---+------+------+------+------+------+------+
  30. | 2 | 1/2 | 1/2 | 1 | 3/8 | 5/16 | 5/16 |
  31. +---+------+------+------+------+------+------+
  32. | 3 | 3/8 | 3/8 | 3/8 | 1 | 7/16 | 7/16 |
  33. +---+------+------+------+------+------+------+
  34. | 4 | 5/16 | 5/16 | 5/16 | 7/16 | 1 | 5/8 |
  35. +---+------+------+------+------+------+------+
  36. | 5 | 5/16 | 5/16 | 5/16 | 7/16 | 5/8 | 1 |
  37. +---+------+------+------+------+------+------+
  38.  
  39.  
  40. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  41. | X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
  42. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  43. | 0 | 1 | 1/2 | 1/2 | 1/2 | 7/16 | 3/8 | 11/32 | 11/32 |
  44. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  45. | 1 | 1/2 | 1 | 1/2 | 1/2 | 7/16 | 3/8 | 11/32 | 11/32 |
  46. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  47. | 2 | 1/2 | 1/2 | 1 | 1/2 | 7/16 | 3/8 | 11/32 | 11/32 |
  48. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  49. | 3 | 1/2 | 1/2 | 1/2 | 1 | 7/16 | 3/8 | 11/32 | 11/32 |
  50. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  51. | 4 | 7/16 | 7/16 | 7/16 | 7/16 | 1 | 7/16 | 13/32 | 13/32 |
  52. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  53. | 5 | 3/8 | 3/8 | 3/8 | 3/8 | 7/16 | 1 | 17/32 | 17/32 |
  54. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  55. | 6 | 11/32 | 11/32 | 11/32 | 11/32 | 13/32 | 17/32 | 1 | 11/16 |
  56. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  57. | 7 | 11/32 | 11/32 | 11/32 | 11/32 | 13/32 | 17/32 | 11/16 | 1 |
  58. +---+-------+-------+-------+-------+-------+-------+-------+-------+
  59.  
  60.  
  61. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  62. | X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
  63. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  64. | 0 | 1 | 1/2 | 1/2 | 1/2 | 1/2 | 15/32 | 27/64 | 49/128 | 93/256 | 93/256 |
  65. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  66. | 1 | 1/2 | 1 | 1/2 | 1/2 | 1/2 | 15/32 | 27/64 | 49/128 | 93/256 | 93/256 |
  67. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  68. | 2 | 1/2 | 1/2 | 1 | 1/2 | 1/2 | 15/32 | 27/64 | 49/128 | 93/256 | 93/256 |
  69. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  70. | 3 | 1/2 | 1/2 | 1/2 | 1 | 1/2 | 15/32 | 27/64 | 49/128 | 93/256 | 93/256 |
  71. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  72. | 4 | 1/2 | 1/2 | 1/2 | 1/2 | 1 | 15/32 | 27/64 | 49/128 | 93/256 | 93/256 |
  73. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  74. | 5 | 15/32 | 15/32 | 15/32 | 15/32 | 15/32 | 1 | 29/64 | 53/128 | 101/256 | 101/256 |
  75. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  76. | 6 | 27/64 | 27/64 | 27/64 | 27/64 | 27/64 | 29/64 | 1 | 63/128 | 121/256 | 121/256 |
  77. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  78. | 7 | 49/128 | 49/128 | 49/128 | 49/128 | 49/128 | 53/128 | 63/128 | 1 | 151/256 | 151/256 |
  79. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  80. | 8 | 93/256 | 93/256 | 93/256 | 93/256 | 93/256 | 101/256 | 121/256 | 151/256 | 1 | 93/128 |
  81. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  82. | 9 | 93/256 | 93/256 | 93/256 | 93/256 | 93/256 | 101/256 | 121/256 | 151/256 | 93/128 | 1 |
  83. +---+--------+--------+--------+--------+--------+---------+---------+---------+---------+---------+
  84.  
  85.  
  86. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  87. | X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
  88. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  89. | 0 | 1 | 1/2 | 1/2 | 1/2 | 1/2 | 1/2 | 31/64 | 29/64 | 107/256 | 25/64 | 193/512 | 193/512 |
  90. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  91. | 1 | 1/2 | 1 | 1/2 | 1/2 | 1/2 | 1/2 | 31/64 | 29/64 | 107/256 | 25/64 | 193/512 | 193/512 |
  92. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  93. | 2 | 1/2 | 1/2 | 1 | 1/2 | 1/2 | 1/2 | 31/64 | 29/64 | 107/256 | 25/64 | 193/512 | 193/512 |
  94. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  95. | 3 | 1/2 | 1/2 | 1/2 | 1 | 1/2 | 1/2 | 31/64 | 29/64 | 107/256 | 25/64 | 193/512 | 193/512 |
  96. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  97. | 4 | 1/2 | 1/2 | 1/2 | 1/2 | 1 | 1/2 | 31/64 | 29/64 | 107/256 | 25/64 | 193/512 | 193/512 |
  98. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  99. | 5 | 1/2 | 1/2 | 1/2 | 1/2 | 1/2 | 1 | 31/64 | 29/64 | 107/256 | 25/64 | 193/512 | 193/512 |
  100. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  101. | 6 | 31/64 | 31/64 | 31/64 | 31/64 | 31/64 | 31/64 | 1 | 15/32 | 111/256 | 13/32 | 201/512 | 201/512 |
  102. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  103. | 7 | 29/64 | 29/64 | 29/64 | 29/64 | 29/64 | 29/64 | 15/32 | 1 | 123/256 | 29/64 | 225/512 | 225/512 |
  104. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  105. | 8 | 107/256 | 107/256 | 107/256 | 107/256 | 107/256 | 107/256 | 111/256 | 123/256 | 1 | 137/256 | 267/512 | 267/512 |
  106. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  107. | 9 | 25/64 | 25/64 | 25/64 | 25/64 | 25/64 | 25/64 | 13/32 | 29/64 | 137/256 | 1 | 323/512 | 323/512 |
  108. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  109. | 10 | 193/512 | 193/512 | 193/512 | 193/512 | 193/512 | 193/512 | 201/512 | 225/512 | 267/512 | 323/512 | 1 | 193/256 |
  110. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
  111. | 11 | 193/512 | 193/512 | 193/512 | 193/512 | 193/512 | 193/512 | 201/512 | 225/512 | 267/512 | 323/512 | 193/256 | 1 |
  112. +----+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
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