Statistics

Problem Statement for "FollowingNim"

Problem Statement

Alice and Bob are playing a game of Nim. There are n piles of stones, described by the int[] piles. The i-th pile initially contains piles[i] stones.

There is one modification that Alice and Bob will make to the rules of nim, based on the int[] special. If a move removes exactly special[j] stones from a pile for some j, then the next person must make a move in the same pile. The first person unable to make a move loses (due being unable to make a move in any pile, or unable to make a move in the same pile from the special rule).

Alice is wondering how many initial moves are winning in the game given she goes first. Two moves are different if they remove a different number of stones or they remove stones from different piles.

Definition

Class:
FollowingNim
Method:
countWinningMoves
Parameters:
int[], int[]
Returns:
int
Method signature:
int countWinningMoves(int[] piles, int[] special)
(be sure your method is public)

Constraints

  • piles will contain between 1 and 50 elements, inclusive.
  • Each element of piles will be between 1 and 100, inclusive.
  • special will contain between 1 and 50 elements, inclusive.
  • Each element of special will be between 1 and 100, inclusive.
  • Elements of special will be distinct.
  • Elements of special will be in ascending order.

Examples

  1. {5, 2}

    {2}

    Returns: 1

    There are two piles of stones. If a player takes 2 stones from a pile, the other player is forced to make a move in the same pile. Alice can win by taking 2 stones from the second pile. Bob is forced to make a move on the second pile and is unable to since it is now empty. This is her only winning move.

  2. {10, 10}

    {3, 7}

    Returns: 0

    Alice has no winning moves in this case. For instance, if Alice takes 3 stones from the first pile, Bob is forced to move in the first pile and can make a move taking 7 stones. Alice then loses since she is forced to take stones from an empty pile.

  3. {9, 9}

    {3, 7}

    Returns: 4

    Alice can win by taking either 3 or 7 from either pile.

  4. {1}

    {10}

    Returns: 1

  5. {89, 98, 85, 82, 94, 96, 91, 71, 69, 76, 78, 80, 9}

    {1, 8, 31, 38, 39}

    Returns: 5

  6. {42, 29, 26, 1}

    {4, 6, 9}

    Returns: 3

  7. {89, 98, 85, 82, 94, 96, 91, 71, 69, 76, 78, 80, 9, 29}

    {1, 8, 31, 38, 39}

    Returns: 0

  8. {19, 16}

    {3, 7}

    Returns: 2

  9. {23, 1}

    {3, 7}

    Returns: 1

  10. {8,9}

    {3,7}

    Returns: 3

  11. {2,4,8,5}

    {1,3,5,7,9}

    Returns: 3

  12. {2, 7, 9}

    {9, 11, 13, 17}

    Returns: 2

  13. {10, 1, 13, 7}

    {4}

    Returns: 2

  14. {5}

    {1, 8, 11, 14}

    Returns: 1

  15. {9, 9}

    {2, 8, 15}

    Returns: 2

  16. {6, 12, 12, 6, 10}

    {2, 7, 8}

    Returns: 8

  17. {6, 2}

    {9, 13, 17}

    Returns: 1

  18. {11}

    {7, 11}

    Returns: 1

  19. {12, 2, 13, 7}

    {2, 8, 9, 10, 12}

    Returns: 7

  20. {5, 10, 13, 7}

    {4, 8, 17}

    Returns: 3

  21. {7, 8}

    {1, 5, 15}

    Returns: 2

  22. {9, 11}

    {3}

    Returns: 2

  23. {9, 14, 10}

    {2, 9, 12, 14, 16}

    Returns: 5

  24. {9, 11, 15, 8, 15}

    {1, 7, 8}

    Returns: 3

  25. {7, 14, 12}

    {6, 16}

    Returns: 1

  26. {3, 2}

    {12, 17}

    Returns: 1

  27. {2, 5, 8, 1}

    {14}

    Returns: 1

  28. {6}

    {9}

    Returns: 1

  29. {3}

    {16, 17}

    Returns: 1

  30. {13, 13}

    {1, 3, 15, 17}

    Returns: 4

  31. {14, 3}

    {2, 4, 8, 11, 13}

    Returns: 3

  32. {2}

    {2, 8, 10}

    Returns: 1

  33. {15, 12, 9, 3, 9}

    {2, 3, 9, 11, 16}

    Returns: 9

  34. {7}

    {5, 10, 12, 16}

    Returns: 1

  35. {9}

    {15}

    Returns: 1

  36. {14, 1, 7, 13}

    {3, 4, 10, 16, 17}

    Returns: 1

  37. {43, 22, 60, 3, 76, 13, 86, 59, 59, 36, 82, 70, 88}

    {87}

    Returns: 2

  38. {99, 34, 70, 62, 50, 9, 93, 14, 67, 91, 76, 77, 62, 69, 96, 47, 75}

    {43, 52, 69}

    Returns: 29

  39. {12, 80, 96, 55, 47, 7, 45, 75, 8, 51, 82, 35, 33, 27, 38, 27, 60, 85, 39, 57, 100, 57, 41, 87, 8, 20, 75, 62, 1, 4, 55, 59, 67, 57, 79, 33, 38, 14}

    {8, 10, 53, 63, 80}

    Returns: 39

  40. {23, 77, 51, 1, 80, 18, 96, 10, 72, 50, 1, 50, 64, 95, 59}

    {53, 54}

    Returns: 14

  41. {92, 63}

    {4, 51, 80}

    Returns: 2

  42. {67, 83}

    {78}

    Returns: 2

  43. {14, 44, 9, 21, 76, 14, 31, 24, 11, 19, 66, 22, 93}

    {12, 17, 51, 76}

    Returns: 12

  44. {54, 38, 71, 82, 29, 87, 45, 99, 12, 83, 41, 14, 5, 26, 72, 18, 43, 12, 41, 99, 92, 85, 55, 65, 70, 74, 97, 99, 88, 46, 67, 67, 55, 82, 57, 56, 87, 53, 94}

    {13}

    Returns: 20

  45. {56, 95, 8}

    {42}

    Returns: 1

  46. {100, 38, 10, 7, 96}

    {33}

    Returns: 2

  47. {72, 28, 48, 48, 18, 26, 58, 79, 5, 95, 39, 78, 86, 39, 54, 15, 55, 54, 45, 97, 64, 33, 6, 93, 73, 93, 89, 63, 30, 35, 52, 8, 4, 51, 25, 99, 54, 47, 67, 12, 45, 93, 80, 81}

    {35, 61}

    Returns: 33

  48. {27, 30}

    {78}

    Returns: 1

  49. {69, 48, 61, 28, 43, 52, 5, 87, 83, 76, 54, 42, 69, 45, 1, 14, 3, 40, 7, 78, 28, 68}

    {50}

    Returns: 10

  50. {87, 82, 51}

    {39}

    Returns: 2

  51. {60}

    {13, 48, 54}

    Returns: 1

  52. {4, 4, 74, 87, 74, 25}

    {1, 12, 54, 55, 91}

    Returns: 4

  53. {69, 83, 59, 34, 82, 83, 19}

    {31, 76}

    Returns: 5

  54. {18, 16}

    {16, 20, 30, 37, 79}

    Returns: 2

  55. {63}

    {48, 82}

    Returns: 1

  56. {1, 34, 45, 21, 80, 6, 53, 62, 92, 42, 19, 35, 33, 43, 53, 85, 15, 27, 86, 23, 80, 30, 37, 86, 32, 59, 90, 99, 68, 44, 20, 68, 47, 15, 19, 23, 73, 30, 70, 74, 68}

    {42}

    Returns: 17

  57. {18, 86, 66, 96, 75, 86, 27, 36, 77, 50, 15, 33, 71, 46, 16, 49, 48, 84, 69}

    {13, 34, 36, 38, 44}

    Returns: 29

  58. {98, 35, 79, 84, 28, 26, 88, 64}

    {29, 39, 53}

    Returns: 4

  59. {28, 83, 82, 86, 29, 71, 12, 72, 54}

    {28, 59, 99}

    Returns: 9

  60. {69, 86}

    {29, 59, 65}

    Returns: 4

  61. {56, 67, 32, 79, 88, 90, 83, 43, 74, 82, 27, 74, 23, 25, 31, 97, 6, 4, 89, 78, 66, 78, 34, 95, 78, 38}

    {5, 10, 64, 85, 94}

    Returns: 29

  62. {89, 28, 90, 55, 10, 33, 79, 49, 42, 59, 38, 21, 31, 24, 47, 30, 40, 5, 28, 89, 74, 61, 4, 46, 2, 81, 37, 36, 71, 54, 97, 68, 31, 59, 59, 7, 11, 93, 17, 94, 52, 57, 24, 32, 6, 52, 87, 58, 69, 68}

    {58, 70}

    Returns: 30

  63. {36, 86, 41, 25, 72}

    {58, 89, 92, 95, 100}

    Returns: 2

  64. {94, 71, 95}

    {21, 36, 67}

    Returns: 3

  65. {96, 22, 11, 24, 8, 99, 66, 23, 78, 83, 72, 79, 79, 14, 37, 6, 42, 24, 12, 58, 36, 13, 39, 26, 76, 97, 97, 64, 80, 93, 19, 99, 18, 32, 92, 69, 31, 78, 40, 33}

    {23}

    Returns: 21

  66. {25, 58, 2, 48, 82, 32, 52, 65, 23, 23, 23, 78, 7, 28, 41, 79, 52, 84, 39, 94, 35, 81, 12, 39, 30, 6, 72, 61, 40, 31, 38}

    {55, 65, 73}

    Returns: 24

  67. {50, 85, 70, 29, 68, 72, 53}

    {12, 18, 56}

    Returns: 6

  68. {33, 70, 4, 44, 51, 69, 39, 92}

    {23, 32}

    Returns: 9

  69. {88, 64, 34, 36, 99, 77, 48, 27, 7, 34, 63, 30, 86, 14, 68, 40, 24, 51, 36, 95, 76, 92, 26, 68, 36, 98, 21, 21, 41, 20, 36, 62, 13, 37, 89, 34, 20}

    {19, 60, 67}

    Returns: 34

  70. {14, 88, 72, 29, 27, 14, 26, 64, 50, 39, 92, 33, 2, 43, 47, 54, 13}

    {30, 34, 69}

    Returns: 14

  71. {71, 90, 81, 26, 99, 5, 95, 22, 4, 73, 41, 30, 88, 47, 30}

    {60}

    Returns: 7

  72. {99, 3, 55, 80, 66, 9, 63, 25, 51, 25, 93, 1, 31, 64}

    {28}

    Returns: 5

  73. {46, 2, 90, 68, 44, 70, 96}

    {34, 50, 66}

    Returns: 8

  74. {28, 7, 73, 34}

    {94}

    Returns: 1

  75. {99, 99, 89, 86, 35, 67, 9}

    {2, 33, 98}

    Returns: 4

  76. {18, 86, 27, 3, 13, 7}

    {1, 22, 26, 43, 76}

    Returns: 7

  77. {67, 83, 56, 84, 61, 71}

    {27}

    Returns: 2

  78. {34}

    {46, 62}

    Returns: 1

  79. {74}

    {7, 34, 48, 60}

    Returns: 1

  80. {26, 30, 93, 75, 19, 27, 64, 66, 96, 14, 38, 99, 78}

    {95}

    Returns: 2

  81. {48, 19, 43, 86, 69, 48}

    {41, 53, 55, 74, 87}

    Returns: 9

  82. {3, 14, 55, 96, 22, 88, 9}

    {10, 14}

    Returns: 5

  83. {24, 50, 13, 9, 72, 62, 96, 3}

    {43, 86}

    Returns: 4

  84. {36, 29, 18, 7, 50}

    {87, 90}

    Returns: 3

  85. {46, 35, 25, 6, 40, 6, 23, 8, 68, 40, 40, 56, 92, 44, 7, 48, 96, 84, 77, 33, 82, 24, 67, 81, 21, 25, 80, 4, 69, 97, 60, 30, 34, 54, 62, 1, 97, 84, 7, 44, 80, 53, 12, 10, 80, 44, 27}

    {58, 77}

    Returns: 29

  86. {36, 87, 59, 32, 62, 23, 74, 53, 50, 26, 5, 42}

    {9}

    Returns: 4

  87. {31, 62, 57}

    {2, 43, 76, 90}

    Returns: 1

  88. {34, 48, 48, 47, 21, 12, 96, 33, 12, 62, 69, 65, 60, 86, 44, 78, 50}

    {16, 34, 55, 58, 75, 87}

    Returns: 21

  89. {98, 6, 21, 5, 98, 40, 83, 54, 64, 32, 28}

    {75}

    Returns: 3

  90. {18, 54, 16, 15, 30, 68, 23, 90, 93, 79, 97, 24, 78, 15, 51, 42, 35, 1, 89, 89, 65, 69, 35, 93, 23, 66, 2, 81, 66, 76, 40, 74, 39, 86, 53, 74, 75, 48, 43, 32, 37, 28, 88, 89, 44, 52, 90, 48, 88}

    {4, 10, 12, 19, 46, 51, 60, 66, 70, 98}

    Returns: 81

  91. {58, 9, 28, 47, 87}

    {2, 3, 18, 25, 42, 49, 72, 86}

    Returns: 8

  92. {32, 26, 50, 33, 76, 60, 94, 51, 54}

    {25, 46, 77, 93, 100}

    Returns: 9

  93. {83, 5, 17, 82}

    {2, 7, 27, 46, 90}

    Returns: 3

  94. {4}

    {2, 4, 5, 7, 8, 13, 14, 17, 19, 21, 22, 24, 26, 27, 28, 29, 31, 33, 36, 39, 40, 42, 44, 45, 47, 48, 50, 51, 54, 55, 57, 58, 59, 63, 67, 68, 71, 73, 75, 79, 81, 82, 84, 85, 93, 96, 98, 99}

    Returns: 1

  95. {17}

    {76}

    Returns: 1

  96. {39}

    {4, 25, 28, 32, 42, 49, 64, 75, 85}

    Returns: 1

  97. {3, 51, 91, 6, 66, 75, 43, 72, 70, 42, 45, 82, 66, 59, 80, 5, 74, 77, 24, 97, 13, 27, 9, 33, 74, 35, 49, 76, 86, 4, 13, 67, 66, 99, 88, 47, 93, 54, 34, 100, 46, 35, 89, 19, 64, 100}

    {1, 6, 33, 34, 37, 47, 50, 56, 57, 62, 70, 71, 72, 73, 78, 79, 80, 81, 87, 91, 93, 94, 97, 98, 99}

    Returns: 134

  98. {53, 92, 82, 60, 8, 38, 64, 13, 67, 81, 39, 92, 47, 67}

    {5, 17}

    Returns: 10

  99. {53, 12, 28, 80, 73, 37, 26, 44, 13, 70, 28, 99, 62, 100, 24, 9, 64, 7, 26, 9, 47, 5, 57, 9, 99, 93}

    {9, 22, 25, 28}

    Returns: 34

  100. {51, 96, 71, 61, 52}

    {25}

    Returns: 1

  101. {35, 65, 60, 57, 53, 29, 63, 27, 34, 80, 66, 22, 85, 100, 50, 39, 74, 80, 23, 93, 75, 21, 40, 4, 6, 98, 69, 70, 83, 91, 25, 26, 76, 11, 83, 56, 72}

    {12, 20, 32, 56, 60, 66, 91, 98}

    Returns: 60

  102. {37, 40, 64}

    {1, 4, 60, 64, 66, 79, 85, 94}

    Returns: 2

  103. {88, 14, 48, 28}

    {1, 3, 4, 5, 10, 15, 16, 21, 22, 24, 25, 26, 27, 28, 31, 37, 39, 41, 48, 50, 52, 54, 62, 76, 77, 85, 86, 87, 91, 93, 94}

    Returns: 7

  104. {75, 18, 61, 72, 58, 100, 10, 21, 40, 11, 85}

    {10, 11, 18, 19, 22, 28, 32, 33, 40, 46, 47, 48, 59, 67, 70, 78, 81, 83, 86, 88, 93}

    Returns: 20

  105. {91, 96}

    {40, 53, 60, 65, 77, 79, 88}

    Returns: 11

  106. {78, 15, 16, 93, 99, 97, 41}

    {6, 8, 9, 20, 24, 37, 46, 48, 56, 78, 84, 89, 92, 99}

    Returns: 15

  107. {3}

    {6}

    Returns: 1

  108. {69, 32}

    {39}

    Returns: 2

  109. {65}

    {3, 11, 15, 43, 60, 64, 75, 77, 86, 90, 99}

    Returns: 1

  110. {59}

    {21, 38, 42, 47, 52, 55, 75, 95, 100}

    Returns: 1

  111. {43, 50, 68, 40, 56, 79, 97, 43, 57, 1, 20, 94, 32, 79, 46, 29, 16, 40, 11, 97, 89, 62, 42, 13, 42, 1, 51, 26, 99, 68}

    {5, 8, 13, 15, 17, 18, 24, 25, 36, 39, 40, 47, 51, 54, 56, 60, 64, 67, 78, 81, 82, 94, 95}

    Returns: 77

  112. {76, 93, 93, 96, 84, 82, 76, 84, 85, 75, 90, 93, 87, 97, 96, 83, 95, 88, 94, 80, 96, 78, 93, 75, 87, 95, 92, 99, 92, 86, 98, 77, 92, 96, 97, 81, 93, 89, 91, 92, 99, 91, 97, 98}

    {86}

    Returns: 31

  113. {82, 94, 86, 100, 92, 90, 95, 99, 87, 86, 88, 84, 87, 80, 80, 81, 90, 86, 92, 94, 83, 88, 99, 86, 87, 83, 80, 87, 100, 76, 94, 99, 76, 87, 92, 89, 85, 76, 83, 97, 96, 99}

    {29, 50}

    Returns: 3

  114. {82, 86, 75, 78, 84, 78, 92, 94, 97, 78, 97, 88, 95, 95, 87, 83, 86, 87, 86, 76, 85, 100, 99, 96, 88, 80, 95, 91, 80, 88, 97, 97, 99, 75, 83, 83, 86, 97, 76, 97, 93, 98, 90, 82, 94, 78}

    {40, 72, 86}

    Returns: 83

  115. {88, 90, 92, 91, 87, 86, 91, 81, 95, 93, 89, 81, 87, 90, 85, 82, 87, 83, 92, 97, 87, 87, 78, 86, 75, 97, 75, 82, 83, 76, 100, 78, 89, 85, 89, 98, 82, 88, 100, 93, 75}

    {36, 42, 50, 57}

    Returns: 52

  116. {86, 85, 86, 99, 86, 82, 85, 98, 97, 83, 88, 76, 100, 98, 81, 84, 98, 100, 92, 76, 94, 80, 87, 77, 83, 90, 78, 76, 76, 79, 84, 93, 100, 80, 90, 91, 96, 87, 91, 96, 96, 77}

    {32, 41, 55, 64, 93}

    Returns: 65

  117. {93, 82, 82, 84, 84, 78, 79, 90, 96, 77, 81, 91, 87, 90, 91, 88, 96, 81, 83, 83, 76, 87, 94, 87, 84, 100, 95, 91, 91, 96, 96, 100, 97, 80, 75, 88, 100, 85, 77, 80, 99, 83, 88, 80, 79, 97, 79, 89}

    {25, 27, 50, 56, 72, 100}

    Returns: 56

  118. {78, 84, 84, 95, 89, 90, 76, 75, 81, 75, 88, 75, 78, 92, 88, 99, 95, 80, 89, 84, 89, 98, 85, 88, 100, 89, 89, 99, 78, 94, 90, 92, 82, 83, 76, 99, 75, 93, 87, 76, 95, 96, 91, 100}

    {4, 13, 18, 65, 78, 86, 98}

    Returns: 88

  119. {93, 89, 82, 85, 89, 86, 98, 89, 86, 77, 96, 99, 88, 89, 92, 83, 78, 97, 85, 75, 90, 93, 91, 91, 96, 85, 92, 89, 78, 96, 81, 89, 77, 82, 81, 93, 95, 83, 80, 99}

    {28, 35, 41, 57, 59, 64, 79, 89}

    Returns: 113

  120. {80, 97, 89, 86, 82, 76, 91, 75, 84, 80, 90, 80, 90, 84, 91, 79, 95, 98, 92, 95, 95, 97, 89, 97, 97, 86, 90, 95, 99, 81, 98, 100, 77, 97, 95, 82, 88, 91, 78, 97, 82, 85, 96, 75, 76, 91, 91, 85}

    {7, 13, 44, 48, 58, 64, 68, 77, 94}

    Returns: 98

  121. {78, 82, 79, 76, 77, 82, 83, 94, 79, 79, 82, 78, 86, 85, 87, 88, 94, 87, 87, 81, 82, 87, 88, 83, 97, 99, 93, 79, 88, 95, 80, 96, 97, 90, 82, 100, 80, 89, 97, 99, 75, 100}

    {3, 5, 7, 18, 25, 41, 81, 84, 88, 92}

    Returns: 75

  122. {97, 100, 98, 80, 86, 97, 87, 85, 100, 81, 78, 88, 86, 80, 77, 85, 87, 78, 97, 99, 91, 98, 81, 78, 98, 84, 92, 83, 92, 80, 94, 86, 95, 84, 83, 97, 87, 75, 83, 75, 94, 84, 88, 79, 83, 77, 85, 88, 89, 90}

    {13, 16, 17, 24, 43, 45, 68, 87, 90, 96, 98}

    Returns: 113

  123. {84, 87, 95, 77, 98, 96, 94, 78, 94, 98, 75, 94, 90, 91, 90, 86, 92, 79, 80, 87, 93, 98, 99, 98, 94, 85, 80, 87, 100, 92, 81, 82, 75, 89, 81, 92, 77, 100, 92, 85, 77, 93, 75, 77, 82}

    {13, 17, 40, 45, 49, 62, 66, 72, 78, 81, 91, 100}

    Returns: 151

  124. {91, 85, 88, 90, 79, 99, 75, 94, 78, 84, 100, 98, 83, 92, 91, 77, 76, 87, 94, 77, 78, 76, 93, 95, 92, 78, 84, 78, 89, 100, 90, 93, 95, 85, 81, 89, 85, 98, 82, 80}

    {2, 8, 11, 15, 21, 31, 34, 39, 45, 60, 62, 67, 73}

    Returns: 71

  125. {96, 79, 84, 93, 85, 99, 88, 95, 83, 100, 77, 93, 89, 86, 80, 99, 86, 76, 86, 95, 91, 81, 76, 75, 75, 82, 91, 84, 93, 96, 83, 96, 98, 99, 78, 96, 100, 75, 81, 91, 89, 99, 95, 82, 82, 87}

    {23, 33, 36, 39, 40, 45, 46, 54, 58, 68, 74, 83, 84, 86}

    Returns: 168

  126. {92, 93, 91, 99, 76, 97, 83, 100, 79, 99, 92, 91, 85, 100, 76, 89, 98, 98, 77, 75, 93, 77, 84, 82, 96, 98, 96, 81, 82, 78, 97, 77, 100, 85, 80, 91, 91, 96, 83, 80, 83, 88, 77}

    {4, 10, 14, 24, 26, 38, 46, 51, 54, 63, 66, 71, 72, 78, 96}

    Returns: 90

  127. {85, 88, 75, 83, 76, 85, 94, 76, 76, 78, 88, 84, 90, 88, 87, 100, 87, 83, 96, 92, 98, 84, 94, 79, 84, 82, 82, 98, 87, 97, 86, 89, 89, 89, 100, 89, 85, 93, 100, 81, 85, 75, 100, 85, 76}

    {12, 13, 33, 36, 46, 49, 50, 58, 61, 65, 70, 72, 76, 85, 95, 99}

    Returns: 170

  128. {92, 77, 95, 86, 87, 83, 78, 92, 99, 92, 94, 89, 79, 93, 90, 79, 97, 95, 99, 92, 86, 76, 84, 90, 90, 80, 99, 93, 79, 90, 98, 99, 76, 82, 92, 98, 87, 94, 99, 84, 83, 76, 89, 76, 83, 78, 100, 92}

    {3, 6, 21, 27, 30, 35, 41, 44, 53, 56, 58, 59, 63, 71, 78, 79, 87}

    Returns: 105

  129. {88, 93, 96, 84, 85, 94, 86, 91, 93, 76, 90, 90, 84, 77, 95, 89, 80, 81, 83, 76, 91, 91, 86, 86, 84, 80, 78, 81, 85, 99, 79, 93, 87, 80, 87, 100, 88, 92, 90, 82, 84, 78, 80, 85, 78, 89, 83, 79}

    {1, 5, 10, 13, 17, 21, 24, 30, 33, 34, 42, 56, 68, 78, 89, 93, 94, 97}

    Returns: 119

  130. {93, 99, 76, 79, 77, 83, 75, 95, 76, 86, 75, 98, 93, 83, 84, 75, 80, 89, 81, 82, 85, 87, 99, 84, 99, 78, 99, 78, 77, 89, 75, 80, 84, 80, 77, 96, 93, 92, 85, 77, 97, 90, 89, 82, 90}

    {4, 6, 11, 13, 16, 22, 25, 34, 40, 42, 50, 53, 63, 71, 74, 75, 95, 97, 99}

    Returns: 106

  131. {92, 93, 95, 89, 86, 75, 91, 98, 83, 93, 92, 99, 91, 92, 80, 90, 75, 89, 77, 95, 82, 83, 78, 86, 85, 96, 84, 95, 100, 89, 91, 78, 90, 82, 76, 75, 94, 90, 88, 77, 75}

    {8, 11, 14, 16, 21, 22, 23, 24, 33, 36, 38, 54, 57, 60, 68, 72, 83, 92, 93, 100}

    Returns: 98

  132. {76, 91, 86, 96, 87, 76, 78, 92, 87, 84, 93, 100, 90, 96, 85, 95, 77, 83, 86, 80, 94, 77, 85, 83, 80, 100, 93, 89, 75, 88, 96, 100, 87, 88, 90, 92, 88, 90, 81, 91, 88, 98, 76, 95, 88, 95, 81, 75}

    {4, 5, 8, 10, 13, 16, 22, 36, 37, 38, 46, 50, 54, 58, 63, 67, 81, 84, 87, 90, 96}

    Returns: 99

  133. {81, 78, 80, 92, 87, 78, 85, 75, 82, 81, 96, 90, 80, 90, 80, 83, 76, 76, 80, 98, 92, 80, 80, 91, 81, 80, 91, 90, 99, 79, 98, 88, 81, 92, 82, 92, 79, 91, 82, 99, 83, 79}

    {6, 7, 9, 13, 17, 25, 26, 27, 37, 43, 46, 47, 57, 58, 59, 68, 70, 78, 80, 81, 86, 90}

    Returns: 200

  134. {97, 91, 80, 91, 83, 91, 98, 93, 78, 94, 85, 81, 84, 84, 94, 77, 97, 75, 85, 100, 87, 98, 75, 79, 88, 96, 80, 77, 89, 86, 78, 97, 91, 94, 99, 100, 94, 83, 82, 97, 86, 98, 75, 94, 96, 80, 85, 91, 91, 88}

    {1, 4, 6, 7, 12, 13, 16, 18, 22, 25, 39, 53, 60, 61, 63, 68, 75, 76, 79, 82, 83, 96, 99}

    Returns: 99

  135. {82, 98, 76, 97, 99, 88, 78, 88, 79, 96, 92, 95, 86, 89, 80, 89, 88, 94, 81, 80, 87, 91, 99, 81, 88, 96, 95, 88, 82, 87, 94, 96, 79, 98, 95, 76, 89, 81, 84, 96, 98, 91, 83, 79, 87, 77, 83, 78, 96}

    {2, 4, 7, 19, 27, 28, 29, 31, 32, 34, 37, 38, 43, 44, 48, 61, 66, 74, 75, 76, 77, 90, 94, 97}

    Returns: 103

  136. {90, 92, 95, 92, 82, 97, 83, 99, 78, 93, 90, 91, 98, 94, 80, 78, 89, 76, 81, 93, 91, 85, 91, 96, 97, 76, 85, 96, 87, 90, 77, 99, 88, 83, 93, 77, 85, 80, 95, 88, 78, 93, 91, 95, 99}

    {3, 6, 8, 9, 11, 19, 24, 25, 30, 46, 47, 50, 53, 54, 55, 57, 61, 70, 72, 76, 81, 82, 94, 96, 100}

    Returns: 119

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