Statistics

Problem Statement for "AliceBobShuffle"

Problem Statement

Alice and Bob decide to play a game with a deck of cards. Each card has a single positive integer written on it. Multiple cards may have the same number. Cards with the same number are indistinguishable. Alice and Bob begin by splitting the deck into two piles. They each take one pile. Then each of them writes down the sequence of numbers on the cards in his/her pile, in order from bottom to top.

Then comes the first phase of the game. In this phase Alice and Bob build a third pile of cards, designated the "community" pile. Initially, the community pile is empty. The phase consists of multiple turns. In each turn, either Alice or Bob takes the top card from his/her pile and places it on top of the community pile. This continues until all the cards are in the community pile. (Note that Alice and Bob are not required to alternate. They may take the turns in any order they like.)

Afterwards there is the second phase of the game. In this phase Alice and Bob take the cards from the community pile to their personal piles. Again, this happens in turns. In each turn, either Alice or Bob takes the top card from the community pile and places it on top of his/her personal pile. This continues until there are no more cards in the community pile. (Again, Alice and Bob are not required to alternate. They may take the turns in any order they like. They are each allowed to take any cards to their pile, not just those they had at the beginning. They are also each allowed to take any number of cards, regardless of how many they had at the beginning.) Finally, they again write down the sequence of numbers on the cards in each pile, from bottom to top.

Later, Alice and Bob decide to double-check what they wrote down. Given the starting and ending lists of cards, they wonder how many ways the game could have progressed. You will be given 4 int[]s: AliceStart, BobStart, AliceEnd, and BobEnd. AliceStart and BobStart are the card stacks belonging to Alice and Bob at the start, and AliceEnd and BobEnd are the card stacks belonging to Alice and Bob at the end. Return the number of different possible ways the game could have progressed, modulo 1,000,000,007 (10^9+7).

Definition

Class:
AliceBobShuffle
Method:
countWays
Parameters:
int[], int[], int[], int[]
Returns:
int
Method signature:
int countWays(int[] AliceStart, int[] BobStart, int[] AliceEnd, int[] BobEnd)
(be sure your method is public)

Notes

  • Each card movement can be described by the source pile, the destination pile, and the number on the card.
  • Two games are considered different if their sequences of card movements differ.

Constraints

  • AliceStart, BobStart, AliceEnd, and BobEnd will each contain between 1 and 50 elements, inclusive.
  • Each element of AliceStart, BobStart, AliceEnd, and BobEnd will be between 1 and 100, inclusive.

Examples

  1. {1, 3}

    {2, 4}

    {2, 3}

    {1, 4}

    Returns: 4

    There are 4 possible orders for the community pile at the end of the first phase: {4, 3, 2, 1}, {3, 4, 2, 1}, {4, 3, 1, 2}, {3, 4, 1, 2}. (All of these are listed from bottom to top.) Each of these uniquely determines one possible game.

  2. {1, 2, 1}

    {1, 2}

    {1, 2, 1}

    {2, 1}

    Returns: 4

    The only possibility for the order of the community pile at the end of the first phase is {1, 2, 1, 2, 1}. Still, there are 4 ways this game could have been played. (For instance, the bottommost 1 must have come from Alice's deck, but the 2 above it could have been placed by either player.)

  3. {1}

    {2}

    {3}

    {4}

    Returns: 0

    This is impossible.

  4. {1, 2}

    {3}

    {3}

    {2, 1}

    Returns: 0

    Also impossible.

  5. {3, 3, 2, 4, 1, 3, 1, 2, 1, 1, 5, 5, 1, 2, 3, 1, 2, 1, 2, 1, 1, 1, 2}

    {4, 1, 4, 3, 4, 4, 4, 3, 2, 1, 6, 2, 2, 3, 2, 2, 1, 3, 2, 3}

    {4, 1, 4, 3, 4, 4, 4, 1, 3, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 2}

    {3, 3, 2, 3, 4, 2, 1, 2, 1, 1, 5, 6, 5, 1, 3, 1, 2, 3, 1, 1, 1, 3}

    Returns: 314159265

  6. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    Returns: 383726909

  7. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}

    Returns: 538992043

  8. {1, 2, 1, 2, 1, 4, 10, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 5, 1, 2, 4, 3, 1, 2, 1, 2, 2, 1, 1, 3, 2, 5, 3, 1, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 1, 1, 3, 1, 2}

    {1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 6, 1, 2, 1, 1, 1, 1, 1, 7, 3, 1, 3, 2, 4, 3, 1, 1, 3, 1, 1, 2, 1, 1, 2, 3, 1, 6, 2, 3, 1, 2, 2, 1}

    {1, 2, 1, 1, 2, 1, 4, 1, 10, 2, 3, 1, 1, 1, 2, 2, 1, 4, 5, 1, 2, 3, 1, 2, 2, 1, 3, 1, 2, 1, 5, 3, 2, 1, 1, 3, 1, 1, 3, 1, 2, 1, 2, 1, 3, 1, 2, 1, 1, 6}

    {1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 6, 1, 4, 1, 2, 2, 1, 1, 1, 1, 3, 7, 1, 1, 3, 2, 4, 2, 3, 2, 3, 1, 3, 2, 1, 1, 3, 2, 2, 3, 1, 2, 2, 1}

    Returns: 239177234

  9. {5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 8, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 8, 5, 5, 5, 5, 5, 8}

    {5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5}

    {5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 8, 8, 5, 5, 5, 5}

    {5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 8, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 8}

    Returns: 33929884

  10. {2, 2, 2, 4}

    {1, 1, 2, 1, 2, 3, 2, 1, 2, 1, 3, 1, 2}

    {2, 2, 2, 3, 4, 2, 1, 2, 1}

    {1, 1, 2, 2, 1, 1, 3, 2}

    Returns: 80

  11. {1, 1, 3, 8, 2, 1, 1, 4, 3, 1, 1, 1, 3, 2}

    {1, 3, 2, 1, 1, 2, 4, 1, 5, 1, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 1, 7, 1}

    {3, 1, 1, 1, 2, 2, 3, 3, 2, 1, 3, 2, 7, 2, 1}

    {1, 1, 3, 1, 2, 8, 2, 1, 4, 1, 5, 1, 4, 1, 1, 1, 1, 2, 1, 1, 3, 1}

    Returns: 152830

  12. {1, 2, 1, 2, 1, 4, 10, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 5, 1, 2, 4, 3, 1, 2, 1, 2, 2, 1, 1, 3, 2, 5, 3, 1, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 1, 1, 3, 1, 2}

    {1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 6, 1, 2, 1, 1, 1, 1, 1, 7, 3, 1, 3, 2, 4, 3, 1, 1, 3, 1, 1, 2, 1, 1, 2, 3, 1, 6, 2, 3, 1, 2, 2, 1}

    {1, 2, 1, 1, 2, 1, 4, 1, 10, 2, 3, 1, 1, 1, 2, 2, 1, 4, 5, 1, 2, 3, 1, 2, 2, 1, 3, 1, 2, 1, 5, 3, 2, 1, 1, 3, 1, 1, 3, 1, 2, 1, 2, 1, 3, 1, 2, 1, 1, 6}

    {1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 6, 1, 4, 1, 2, 2, 1, 1, 1, 1, 3, 7, 1, 1, 3, 2, 4, 2, 3, 2, 3, 1, 3, 2, 1, 1, 3, 2, 2, 3, 1, 2, 2, 1}

    Returns: 239177234

  13. {1, 2, 6, 1, 1, 8, 2, 4, 4, 2, 2, 2, 4, 3, 4, 3, 8, 2, 1, 1, 1}

    {1, 1, 6, 1, 1, 1, 1, 2, 2, 3, 5, 1, 2, 1, 1, 3, 1, 2, 2, 4}

    {1, 1, 2, 6, 2, 1, 2, 3, 4, 3, 4, 2, 2, 1, 4}

    {1, 6, 1, 1, 1, 1, 2, 1, 3, 5, 1, 1, 2, 8, 1, 4, 2, 2, 1, 2, 4, 2, 3, 8, 1, 1}

    Returns: 5472900

  14. {1, 2, 1, 2, 1, 1, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 9, 3, 3, 1, 1, 3, 1, 1, 8, 1, 1, 5, 1, 2, 2, 1, 1, 3, 2, 1, 4, 2, 2}

    {1, 1, 1, 1, 1, 3, 2, 2, 1, 3, 2, 4, 1, 4, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 4}

    {2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 1, 3, 1, 8, 5, 1, 2, 1, 2, 2, 1, 2, 2, 1, 4}

    {1, 1, 1, 1, 3, 4, 1, 1, 2, 1, 1, 1, 1, 2, 4, 1, 4, 1, 9, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 4, 1, 1, 3, 2}

    Returns: 209212508

  15. {57, 54, 56, 53, 56, 54, 57, 55, 55, 56, 53, 56, 57, 55, 57, 54, 53, 57, 53, 53, 57, 53, 57}

    {54, 54, 56, 53, 55, 55, 57, 55, 55}

    {57, 54, 54, 53, 56, 56, 53, 54, 55, 55, 55, 57, 53, 57, 53, 57}

    {54, 56, 57, 55, 56, 53, 56, 55, 57, 57, 54, 55, 57, 53, 53, 55}

    Returns: 88536

  16. {8, 9, 2, 6, 6, 11, 9, 6, 6, 2, 8, 4, 2, 7, 11, 9, 9, 6, 11, 5, 7, 9, 8, 11, 4, 7, 3, 2, 9, 8, 5, 4, 4, 3, 2, 10, 3, 3, 6, 9, 6, 7, 10, 9, 3, 7, 2, 2, 6, 5}

    {8, 3, 11, 7, 3, 7, 2, 8, 5, 11, 2, 4, 5, 11, 11, 7, 11, 8, 8, 6, 6, 5, 10, 2, 7, 3, 9, 8, 10, 2, 9, 3, 10, 9, 5, 11, 5, 4, 9, 3, 2, 2, 9, 10, 8, 5, 9}

    {8, 3, 7, 2, 6, 7, 11, 9, 5, 2, 5, 11, 11, 7, 9, 9, 6, 8, 11, 8, 11, 6, 4, 10, 3, 2, 9, 7, 8, 9, 4, 8, 10, 3, 2, 2, 10, 9, 7, 3, 10, 9, 9, 5, 11, 7, 9, 8, 5, 9}

    {8, 11, 9, 3, 6, 2, 8, 6, 6, 11, 2, 8, 4, 4, 2, 7, 11, 11, 8, 6, 5, 7, 9, 7, 5, 2, 5, 3, 4, 3, 3, 6, 9, 6, 10, 3, 2, 2, 5, 4, 6, 5, 3, 2, 2, 9, 10}

    Returns: 658865024

  17. {48, 87, 88, 79, 70, 81, 51, 81, 53, 71, 74, 55, 79, 64, 83, 60, 86, 61, 60, 53, 85, 58, 78, 51, 66, 74, 69, 64, 61, 52, 57, 62, 52, 66, 54, 64, 55, 56, 74, 72, 78, 66}

    {55, 72, 50, 53, 64, 48, 81, 50, 83, 85, 53, 72, 88, 71, 81, 69, 72, 81, 49, 74, 67, 52, 67, 65, 58, 83, 58, 82, 87, 78, 62, 83, 86, 51, 51, 83, 74, 62, 84, 77, 52, 83, 49, 86, 74, 62, 62, 64, 77, 52}

    {55, 72, 48, 50, 88, 53, 79, 70, 51, 48, 81, 53, 85, 72, 74, 88, 71, 86, 81, 81, 60, 53, 85, 52, 67, 78, 83, 58, 51, 82, 66, 74, 83, 64, 86, 61, 52, 51, 83, 57, 62, 66, 54, 56, 74, 62, 72, 49, 86, 74}

    {87, 64, 81, 81, 50, 83, 53, 71, 55, 79, 64, 83, 60, 69, 72, 61, 49, 74, 58, 67, 65, 58, 87, 78, 62, 69, 51, 74, 52, 64, 55, 84, 77, 52, 83, 78, 62, 62, 64, 66, 77, 52}

    Returns: 378943993

  18. {21, 27, 26, 28, 24, 27, 28, 20, 24, 20, 25, 28, 21, 21, 22, 27, 24, 25, 25, 22, 28, 24, 25, 29}

    {20, 23, 20, 24, 29, 29, 21, 22, 21, 23, 28, 26, 27, 22, 27, 23, 27, 26, 22, 27}

    {23, 24, 20, 27, 24, 29, 25, 21, 29, 21, 22, 24, 25, 28, 26, 22, 28, 24, 22, 27}

    {21, 27, 26, 20, 28, 28, 20, 24, 20, 28, 21, 27, 22, 25, 21, 23, 27, 22, 27, 23, 25, 29, 27, 26}

    Returns: 112518

  19. {17, 15, 19, 22, 18, 17, 29, 22, 19, 24, 25, 17, 20, 17, 19, 30, 21, 30, 27, 17, 19, 24, 14, 30, 19, 25}

    {10, 24, 31, 17, 31, 10, 10, 10, 29, 24, 23, 10, 29, 21, 27, 13, 11, 13, 24, 19, 28, 11, 10, 28, 18, 15, 16, 19, 23}

    {24, 31, 10, 10, 15, 24, 19, 22, 23, 17, 24, 25, 13, 17, 19, 19, 30, 28, 21, 30, 11, 10, 28, 18, 17, 24, 15, 25, 19, 23}

    {10, 17, 31, 17, 10, 29, 10, 18, 29, 29, 21, 27, 22, 19, 13, 11, 17, 20, 24, 27, 19, 14, 30, 16, 19}

    Returns: 117450

  20. {81, 82, 82, 83, 80, 85, 81, 81, 78, 85, 85, 82, 82, 83, 84, 84, 85, 78, 85, 78, 82, 85}

    {84, 84, 80, 79, 78, 78, 80, 80, 78, 84, 84, 84}

    {82, 84, 80, 81, 82, 79, 78, 82, 80, 78, 85, 78, 84, 82, 85}

    {81, 82, 83, 85, 84, 81, 78, 85, 80, 85, 78, 83, 84, 84, 85, 80, 78, 84, 84}

    Returns: 69210

  21. {60, 64, 68, 67, 66, 60, 68, 57, 61, 66, 56, 71, 59, 58, 63, 65, 72, 68, 57, 61, 71, 61, 63, 60, 68, 70, 59, 61, 70, 68, 65, 65, 58, 65}

    {63, 59, 71, 56, 70, 67, 72, 70, 60, 56, 68, 57, 63, 58, 67, 70, 61, 67, 67, 60, 59, 58, 64, 71, 61, 71, 61, 71, 69, 66, 61, 66, 66, 58, 66, 70, 69, 70, 72, 64, 58, 66, 63, 72, 65, 64, 59}

    {63, 60, 64, 56, 68, 67, 66, 72, 70, 60, 61, 63, 70, 59, 61, 67, 60, 58, 57, 61, 71, 61, 63, 60, 71, 61, 59, 61, 66, 70, 65, 58, 65, 58}

    {59, 71, 70, 67, 60, 68, 57, 56, 68, 57, 66, 56, 71, 58, 67, 58, 67, 59, 63, 65, 72, 64, 68, 71, 61, 71, 61, 68, 69, 70, 66, 66, 66, 58, 68, 70, 69, 70, 72, 64, 66, 63, 72, 65, 65, 64, 59}

    Returns: 908112969

  22. {28, 29, 27, 26, 27, 27, 26, 26, 29, 29, 26, 28, 27, 26, 26, 28, 29, 27, 27, 29, 27, 29, 26}

    {26, 27, 26, 26, 28, 27, 28, 27, 28, 27, 29, 29, 27, 26, 28, 29, 28, 28, 29, 26, 27, 29, 28, 28, 27, 28, 27, 28, 28, 26, 29, 26, 29, 26, 26}

    {28, 28, 26, 28, 29, 29, 29, 26, 28, 28, 27, 29, 28, 26, 26, 28, 26, 27, 29, 28, 28, 28, 27, 27, 28, 26, 29, 29, 26, 26}

    {26, 27, 29, 26, 26, 27, 26, 27, 27, 27, 26, 27, 28, 27, 29, 27, 26, 28, 29, 29, 27, 27, 29, 28, 27, 26, 29, 26}

    Returns: 293446258

  23. {40, 21, 35, 33, 10, 11, 12, 36, 10, 15, 26, 25, 19, 12, 32, 7, 30, 18, 28, 26, 32, 34, 37, 7, 27, 38, 45, 19, 16, 10, 39, 19, 24, 45, 21, 16, 11, 24, 17, 17, 38, 39, 44, 38, 11, 15}

    {46, 14, 7, 14, 21, 45, 43, 46, 11, 44, 38, 11, 8, 31, 23, 25, 17, 13, 39, 8, 14, 11, 18, 25, 42, 23, 39, 42, 12, 36, 46, 17, 40, 29, 10, 19, 13, 12, 42, 8, 12, 46, 8, 25}

    {40, 21, 46, 7, 14, 12, 10, 15, 46, 19, 11, 32, 31, 23, 13, 39, 18, 28, 11, 37, 18, 42, 45, 19, 16, 10, 39, 12, 24, 36, 16, 11, 38, 29, 10, 13, 12, 38, 8, 12, 46, 25}

    {35, 14, 33, 21, 45, 10, 11, 36, 43, 26, 25, 44, 38, 12, 11, 8, 7, 30, 25, 17, 8, 26, 14, 32, 34, 7, 25, 27, 23, 38, 39, 42, 19, 45, 21, 46, 24, 17, 17, 17, 40, 39, 19, 44, 42, 11, 8, 15}

    Returns: 602581406

  24. {48, 45, 48, 47, 44, 53, 52, 52, 44, 45, 50, 45, 43, 46, 48, 52, 53, 45, 47, 44, 43, 50, 46, 46, 46, 49, 54, 52, 43, 45, 53, 54}

    {52, 50, 45, 51, 43, 50, 45, 47, 46, 49, 43, 47, 51, 43, 45, 53, 48, 46, 48, 50, 46, 49, 54, 47, 48, 51, 52, 45, 52, 47, 53, 50, 45}

    {52, 47, 44, 53, 52, 43, 44, 45, 47, 46, 43, 48, 52, 53, 45, 46, 46, 49, 46, 47, 49, 45, 45, 53, 53, 50}

    {48, 45, 48, 50, 45, 51, 52, 50, 45, 50, 45, 49, 43, 46, 47, 51, 43, 45, 53, 47, 44, 43, 50, 48, 48, 50, 46, 54, 46, 54, 52, 48, 51, 52, 52, 43, 47, 45, 54}

    Returns: 58657544

  25. {17, 22, 17, 24, 23, 26, 19, 40, 29, 41, 35, 23, 23, 28, 45, 18, 39, 31, 42, 33, 26, 28, 18, 16, 45, 39, 41, 26, 18, 17, 35, 32, 18}

    {34, 36, 41, 23, 23, 24, 29, 25, 29, 25, 32, 36, 22, 23, 29, 36, 27, 23, 36, 25, 33, 40, 22, 21, 41, 17, 32, 33, 17, 41, 34, 43, 22, 30, 42, 35}

    {22, 36, 17, 41, 24, 23, 24, 29, 25, 32, 36, 26, 23, 40, 41, 23, 36, 25, 23, 41, 18, 17, 39, 42, 33, 26, 28, 18, 33, 41, 34, 43, 26, 30, 17, 35, 32}

    {17, 34, 23, 23, 25, 29, 22, 19, 29, 29, 36, 27, 35, 33, 40, 23, 22, 21, 28, 45, 31, 32, 16, 45, 39, 41, 17, 18, 22, 42, 18, 35}

    Returns: 13824000

  26. {54, 52, 53, 51, 52, 51, 52, 54, 50, 53, 50, 50, 54, 53, 51}

    {54, 54, 53, 54, 54, 53, 54, 53, 50, 52, 52, 51, 52, 53, 50, 52, 54, 51, 54, 53, 54, 53}

    {54, 52, 53, 54, 51, 54, 51, 52, 50, 51, 54, 51, 53}

    {54, 54, 53, 51, 52, 54, 52, 53, 53, 54, 50, 50, 52, 52, 53, 53, 50, 50, 52, 54, 54, 53, 54, 53}

    Returns: 1989960

  27. {11, 7, 11, 10, 12, 8, 13, 14, 9, 14}

    {10, 10, 13, 12, 7, 9, 9, 8, 13, 7, 10, 10}

    {10, 13, 7, 11, 10, 12, 8, 12, 7, 9, 14}

    {11, 10, 9, 9, 13, 14, 8, 13, 7, 10, 10}

    Returns: 63

  28. {20, 16, 19, 22, 12, 15, 18, 17, 24, 15, 12, 15, 15, 13, 24, 18, 23, 15}

    {13, 14, 13, 25, 23, 20, 12, 11, 19, 25, 25, 15, 26, 13, 22, 13, 24, 17, 13, 14, 25, 18, 12, 13, 18, 17, 16, 16, 18, 22, 22, 26}

    {20, 13, 19, 23, 12, 11, 15, 19, 25, 18, 24, 22, 24, 13, 15, 15, 16, 26, 15}

    {13, 14, 16, 25, 20, 12, 22, 25, 15, 26, 13, 17, 15, 13, 17, 12, 14, 25, 18, 12, 13, 18, 17, 13, 16, 18, 22, 22, 24, 18, 23}

    Returns: 186624

  29. {59, 56, 63, 62, 56, 59, 64, 64, 61, 66, 57, 64, 68, 59, 64, 56, 65, 62, 67, 63}

    {62, 56, 59, 62, 66, 67, 67, 68, 59, 67, 65, 65, 60, 66, 68, 59}

    {59, 56, 56, 62, 56, 59, 64, 67, 66, 67, 68, 59, 59, 65, 67, 66, 63}

    {62, 63, 59, 62, 64, 61, 66, 57, 68, 64, 67, 64, 56, 65, 65, 60, 62, 68, 59}

    Returns: 70560

  30. {34, 37, 52, 37, 47, 54, 100, 40, 100, 100, 39, 34, 44, 48, 35, 46, 46, 42, 100, 100, 54, 100, 55, 100, 39, 100, 100, 44, 38, 45, 100, 100, 35, 100, 44, 100, 40, 100, 45, 36, 54, 49, 41, 43}

    {100, 100, 50, 48, 100, 39, 100, 36, 40, 100, 52, 38, 47, 43, 44, 43, 50, 48, 37, 100, 100, 100, 100, 42, 100, 100, 42, 34, 100, 34, 100, 44, 40, 100, 53, 44}

    {100, 50, 48, 52, 37, 100, 39, 52, 47, 44, 48, 44, 46, 42, 43, 50, 100, 48, 100, 39, 100, 100, 44, 42, 38, 100, 42, 100, 45, 34, 54, 49, 34, 40, 100, 53}

    {34, 100, 37, 100, 39, 47, 54, 100, 100, 40, 100, 36, 40, 100, 34, 38, 43, 35, 46, 100, 54, 100, 37, 55, 100, 100, 100, 100, 100, 45, 100, 100, 35, 100, 44, 40, 100, 36, 100, 41, 100, 44, 43, 44}

    Returns: 852742579

  31. {60, 61, 6, 6, 59, 6, 56, 6, 6, 58, 61, 6, 6, 6, 57, 6, 6, 61, 61, 6}

    {59, 6, 6, 6, 6, 6, 6, 61, 59, 58, 6, 6, 56, 57, 61, 59, 60, 58, 6, 56, 57, 60, 6, 6, 61, 60, 6, 6, 57, 59, 6}

    {59, 6, 6, 6, 6, 6, 6, 59, 6, 6, 56, 6, 56, 57, 61, 6, 6, 6, 58, 56, 57, 60, 6, 6, 61, 60, 6, 6, 6, 61, 61, 6}

    {6, 60, 61, 61, 6, 59, 58, 6, 6, 58, 61, 59, 60, 6, 57, 57, 59, 6, 6}

    Returns: 400356060

  32. {58, 58, 45, 45, 46, 46, 58, 58, 48, 58, 58, 58, 47}

    {44, 45, 58, 45, 58, 58, 58, 58, 58}

    {58, 58, 45, 58, 45, 58, 58, 58, 58, 58}

    {44, 45, 45, 46, 46, 58, 58, 58, 48, 58, 47, 58}

    Returns: 3563836

  33. {48, 26, 20, 19, 48, 48, 20, 25, 20, 48, 48, 25, 48, 48, 22, 22, 48, 48, 48, 48}

    {48, 23, 48, 48, 18, 24, 48, 48}

    {20, 23, 48, 18, 20, 25, 48, 48, 22, 48, 48, 48}

    {48, 48, 26, 19, 48, 48, 48, 20, 48, 24, 25, 48, 48, 22, 48, 48}

    Returns: 704168

  34. {29, 29, 29, 65, 59, 29, 29, 59, 29, 67, 29, 58, 29, 29, 57, 58, 58}

    {67, 29, 29, 29, 58, 29, 29, 29, 66, 62, 59, 29, 29, 29, 29, 67, 29, 29, 29, 64, 58, 29, 60, 29}

    {29, 29, 29, 29, 29, 29, 29, 29, 66, 62, 67, 29, 29, 29, 67, 58, 60, 29, 58}

    {67, 29, 29, 58, 65, 59, 29, 59, 29, 29, 59, 29, 58, 29, 29, 29, 29, 29, 57, 64, 58, 29}

    Returns: 79007343

  35. {32, 32, 32, 32, 54, 32, 56, 29, 32, 49, 54, 55, 28, 29, 54, 27, 55, 32, 32, 32, 32}

    {43, 37, 32, 32, 32, 27, 38, 32, 45, 32, 32, 50, 56, 27, 39, 32, 32, 28, 32, 46, 32, 48, 32, 32, 34, 32, 38, 32, 37, 32, 47, 32, 56, 35, 36, 32, 32, 32, 55, 33, 34, 50, 32, 32, 32, 32, 45, 32, 32, 32}

    {43, 32, 27, 38, 32, 32, 50, 32, 39, 32, 32, 32, 32, 28, 32, 56, 32, 29, 48, 32, 49, 34, 38, 32, 28, 37, 29, 32, 33, 55, 32, 32, 32, 32}

    {37, 32, 32, 32, 45, 56, 27, 32, 46, 54, 32, 32, 32, 54, 32, 55, 32, 47, 54, 56, 35, 36, 32, 32, 27, 32, 55, 32, 34, 50, 32, 32, 32, 45, 32, 32, 32}

    Returns: 651481640

  36. {24, 15, 18, 24, 24, 18, 19, 24, 29, 24, 24, 24, 29, 25, 24, 27, 23, 24, 24, 13, 24}

    {26, 24, 24, 24, 19, 24, 26, 14, 24, 14, 24, 24, 25, 16, 24, 24, 24, 13, 24, 24, 16, 24}

    {24, 26, 24, 26, 18, 24, 24, 24, 18, 14, 24, 24, 25, 24, 24, 13, 24, 25, 24, 27, 23, 24, 24, 16, 13, 24}

    {15, 24, 24, 19, 24, 14, 19, 24, 29, 24, 24, 16, 24, 24, 29, 24, 24}

    Returns: 280964313

  37. {16, 70, 70, 70, 70, 70, 10, 70, 70, 70, 16, 70, 9, 70, 70, 21, 70, 12, 70, 70, 70, 70, 70, 70, 70, 70, 17, 70, 70, 18, 19, 70, 70, 15, 70, 70, 16, 21, 20, 70, 70, 15, 70, 70, 70, 70, 13, 70}

    {20, 70, 11, 70, 9, 70, 11, 4, 16, 70, 70, 70, 6, 9, 22, 21, 12, 70, 20, 70, 70, 16, 70, 70, 19, 70, 5, 70, 70, 70, 70, 17, 19, 70, 70, 7, 12, 70, 5, 70, 70, 18, 13, 18, 70, 15, 11, 12, 15, 70}

    {20, 70, 16, 70, 70, 70, 70, 4, 70, 70, 70, 70, 6, 9, 22, 21, 12, 16, 70, 70, 20, 9, 21, 12, 70, 70, 16, 70, 70, 70, 70, 5, 70, 70, 70, 17, 17, 19, 70, 70, 18, 7, 19, 12, 70, 70, 13, 21, 15, 20}

    {11, 70, 70, 70, 9, 11, 10, 16, 70, 70, 70, 70, 70, 70, 70, 70, 19, 70, 70, 70, 70, 70, 70, 70, 70, 70, 15, 70, 70, 5, 70, 16, 18, 18, 70, 11, 70, 70, 15, 70, 70, 70, 12, 15, 70, 13, 70, 70}

    Returns: 830398983

  38. {2, 6, 5, 8, 2, 5, 8, 8, 7, 2, 3, 8, 7, 3, 4, 1, 5, 8, 1, 7, 6, 8, 8, 5, 10, 6, 5, 7, 2, 4, 3, 7, 1, 9, 1, 2, 5, 2, 6, 9, 7, 2, 7, 1, 4, 8}

    {2, 5, 2, 2, 5, 10, 6, 1, 5, 3, 10, 1, 6, 5, 2, 5, 9, 3, 4, 7, 1, 7, 4, 5, 9, 1, 1, 3, 8, 10, 3, 6, 9, 9, 9, 3, 3, 8, 6, 4, 5, 8, 4, 5, 1, 6}

    {2, 5, 2, 2, 5, 10, 6, 1, 5, 3, 10, 1, 6, 5, 2, 5, 9, 3, 4, 7, 1, 7, 4, 5, 9, 1, 1, 3, 8, 10, 3, 6, 9, 9, 9, 3, 3, 8, 6, 4, 5, 8, 4, 5, 1, 6}

    {2, 6, 5, 8, 2, 5, 8, 8, 7, 2, 3, 8, 7, 3, 4, 1, 5, 8, 1, 7, 6, 8, 8, 5, 10, 6, 5, 7, 2, 4, 3, 7, 1, 9, 1, 2, 5, 2, 6, 9, 7, 2, 7, 1, 4, 8}

    Returns: 594321323

  39. {1, 3, 5, 9, 3, 2, 5, 7, 1, 10, 2, 10, 8, 1, 10, 8, 7}

    {4, 2, 4, 3, 4, 8, 7, 3, 8, 7, 3, 9, 9, 4, 4, 9, 4}

    {4, 2, 4, 3, 4, 8, 7, 3, 8, 7, 3, 9, 9, 4, 4, 9, 4}

    {1, 3, 5, 9, 3, 2, 5, 7, 1, 10, 2, 10, 8, 1, 10, 8, 7}

    Returns: 495914208

  40. {4, 2, 7, 2, 4, 4, 3, 3, 1, 4, 9, 5, 2, 7, 5, 1, 2, 4, 1, 5, 8, 7, 5, 1, 1, 2, 4, 10, 2, 9, 1}

    {2, 8, 5, 4, 3, 1, 1, 9, 5, 4, 6, 7, 9, 9, 10, 7, 5, 2, 4, 4, 6, 8, 3, 2, 7, 8, 4, 5, 3, 4, 10}

    {4, 2, 7, 2, 4, 4, 3, 3, 1, 4, 9, 5, 2, 7, 5, 1, 2, 4, 1, 5, 8, 7, 5, 1, 1, 2, 4, 10, 2, 9, 1}

    {2, 8, 5, 4, 3, 1, 1, 9, 5, 4, 6, 7, 9, 9, 10, 7, 5, 2, 4, 4, 6, 8, 3, 2, 7, 8, 4, 5, 3, 4, 10}

    Returns: 295648772

  41. {10, 6, 8, 10, 6, 7, 6, 9, 2, 7, 10, 9, 6, 6, 7, 7, 9, 8, 10, 7, 4, 1, 6}

    {3, 10, 3, 4, 5, 1, 10, 8, 4, 6, 5, 3, 7, 8, 5, 7, 6, 10, 2, 3, 10, 3, 7}

    {10, 6, 8, 10, 6, 7, 6, 9, 2, 7, 10, 9, 6, 6, 7, 7, 9, 8, 10, 7, 4, 1, 6}

    {3, 10, 3, 4, 5, 1, 10, 8, 4, 6, 5, 3, 7, 8, 5, 7, 6, 10, 2, 3, 10, 3, 7}

    Returns: 487004663

  42. {2, 2, 4, 3, 1, 5, 1, 5, 4, 8, 6, 4, 2, 1, 7, 2, 8, 3, 3, 10, 9, 8, 7, 5, 7, 4, 8, 6, 7, 10, 2, 4, 2, 10, 2, 3, 3, 3, 10, 2, 4, 7, 7, 7, 5}

    {2, 9, 10, 2, 7, 3, 3, 10, 4, 4, 5, 3, 10, 7, 7, 9, 1, 5, 2, 3, 5, 10, 8, 8, 4, 8, 8, 8, 8, 2, 7, 3, 10, 5, 6, 7, 3, 7, 1, 1, 7, 2, 8, 2, 5}

    {2, 2, 4, 3, 1, 5, 1, 5, 4, 8, 6, 4, 2, 1, 7, 2, 8, 3, 3, 10, 9, 8, 7, 5, 7, 4, 8, 6, 7, 10, 2, 4, 2, 10, 2, 3, 3, 3, 10, 2, 4, 7, 7, 7, 5}

    {2, 9, 10, 2, 7, 3, 3, 10, 4, 4, 5, 3, 10, 7, 7, 9, 1, 5, 2, 3, 5, 10, 8, 8, 4, 8, 8, 8, 8, 2, 7, 3, 10, 5, 6, 7, 3, 7, 1, 1, 7, 2, 8, 2, 5}

    Returns: 458732731

  43. {5, 8, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 8, 5, 5, 8, 8, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 8, 5, 5, 5, 5, 5}

    {5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 5, 5, 8, 5, 8, 5, 5, 5, 5, 5, 5}

    {8, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8}

    {8, 5, 8, 5, 5, 5, 5, 8, 8, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}

    Returns: 0

  44. {5, 4, 8, 3, 2, 10, 1, 4, 10, 3, 6, 10, 10, 2, 1, 3, 5, 8, 2, 5, 5, 9, 6, 6, 1, 7, 2, 7, 7, 7, 6, 3, 3}

    {3, 4, 8, 7, 2, 2, 7, 6, 5, 1, 3, 6, 9, 10, 4, 1, 5, 5, 5, 2, 5, 6, 9, 4, 5, 1, 10, 3, 1, 8, 2, 5, 6}

    {1, 4, 3, 1, 9, 1, 7, 1, 5, 2, 2, 6, 9, 6, 1, 10, 10, 3, 8, 1, 6, 9, 3, 7, 9, 5, 8, 1, 5, 4, 6, 7, 8}

    {10, 3, 6, 8, 8, 1, 5, 8, 1, 4, 1, 1, 2, 6, 1, 7, 8, 8, 10, 6, 7, 6, 8, 6, 3, 5, 4, 8, 5, 6, 10, 10, 6}

    Returns: 0

  45. {2, 8, 2, 10, 9, 7, 5, 3, 5, 2, 1, 3, 6, 7, 8, 5, 2, 6, 4, 3, 1, 2, 2, 2, 2, 4, 7, 4, 6, 1, 9, 2, 8, 5, 2, 2, 6, 2, 6, 7}

    {10, 5, 4, 2, 1, 1, 4, 4, 2, 9, 9, 8, 10, 4, 7, 8, 3, 8, 7, 10, 10, 9, 9, 7, 5, 6, 1, 7, 10, 7, 6, 4, 10, 10, 8, 2, 10, 3, 4, 9}

    {5, 4, 7, 8, 2, 10, 2, 8, 6, 4, 3, 6, 6, 5, 9, 6, 6, 4, 7, 7, 3, 6, 4, 8, 4, 6, 2, 4, 7, 10, 9, 3, 3, 7, 3, 3, 10, 2, 5, 2}

    {9, 9, 3, 5, 4, 10, 8, 3, 8, 10, 2, 10, 7, 4, 7, 6, 2, 6, 1, 7, 6, 2, 5, 3, 7, 3, 4, 9, 9, 10, 1, 1, 5, 10, 1, 10, 4, 4, 2, 10}

    Returns: 0

  46. {2, 1, 10, 1, 8, 10, 4, 7, 6, 2, 9, 2, 8, 8, 3, 6, 2, 8, 4, 6, 5, 3, 1, 1, 9, 1, 1, 5, 10, 7, 8, 2, 10, 1, 6, 8, 8, 5}

    {7, 1, 5, 10, 4, 8, 3, 7, 10, 3, 9, 7, 10, 1, 8, 7, 6, 5, 2, 6, 4, 3, 3, 6, 7, 7, 4, 3, 4, 6, 9, 10, 1, 10, 9, 1, 5, 7}

    {4, 5, 9, 1, 9, 6, 7, 8, 8, 6, 9, 7, 8, 5, 2, 8, 3, 8, 6, 2, 5, 5, 8, 1, 4, 4, 8, 3, 8, 4, 8, 10, 6, 10, 1, 1, 9, 3}

    {4, 9, 9, 9, 10, 1, 10, 2, 7, 3, 4, 6, 9, 1, 9, 8, 5, 2, 3, 9, 6, 6, 6, 7, 10, 6, 2, 2, 10, 9, 1, 2, 1, 6, 3, 5, 4, 3}

    Returns: 0

  47. {10, 9, 10, 6, 8, 7, 4, 6, 3, 9, 6, 7, 4, 7, 9, 3, 9, 9, 6, 9, 7, 4, 3, 9, 5, 9, 10, 9, 7, 3, 5, 2, 6, 9, 4}

    {9, 3, 1, 9, 2, 8, 7, 5, 5, 7, 9, 3, 5, 8, 3, 2, 9, 5, 6, 7, 6, 5, 2, 7, 9, 6, 2, 10, 7, 10, 10, 7, 5, 10, 8}

    {9, 6, 7, 2, 6, 10, 2, 4, 8, 7, 1, 3, 4, 4, 1, 2, 5, 8, 4, 1, 6, 5, 9, 8, 3, 2, 8, 1, 9, 1, 3, 5, 1, 5, 5}

    {8, 8, 7, 3, 5, 5, 3, 7, 9, 3, 2, 6, 3, 7, 10, 2, 5, 9, 4, 5, 5, 5, 5, 4, 2, 6, 8, 9, 1, 9, 5, 6, 8, 4, 8}

    Returns: 0

  48. {4, 4, 9, 6, 3, 6, 10, 8, 3, 10, 6, 4, 5, 8, 4, 10, 4, 1, 10, 5, 9, 6, 3, 5, 6, 8, 7, 2, 3, 2, 3, 9, 2, 4, 10, 9, 8, 5, 5, 1, 4, 5, 9, 6, 10, 2}

    {2, 2, 1, 6, 3, 1, 8, 6, 4, 2, 9, 6, 8, 1, 10, 4, 3, 5, 1, 8, 2, 8, 2, 9, 5, 5, 8, 9, 4, 9, 1, 7, 6, 6, 4, 1, 3, 6, 2, 1, 10, 3, 2, 3, 7, 3}

    {2, 9, 4, 4, 3, 4, 4, 8, 9, 8, 5, 7, 1, 8, 7, 9, 9, 5, 5, 2, 1, 2, 8, 10, 1, 8, 10, 3, 7, 9, 8, 4, 7, 2, 1, 1, 4, 3, 6, 6, 10, 10, 8, 8, 4, 6}

    {6, 6, 4, 10, 7, 2, 2, 7, 2, 5, 6, 6, 5, 5, 4, 10, 8, 1, 7, 3, 6, 10, 6, 1, 5, 1, 4, 10, 3, 7, 5, 8, 1, 3, 10, 10, 1, 6, 9, 8, 8, 2, 1, 10, 7, 8}

    Returns: 0

  49. {4, 1, 1, 1, 1, 5, 2, 1, 2, 1, 4, 2, 1, 1, 2, 4, 5, 5, 2, 2, 3, 4, 1, 4}

    {4, 3, 4, 1, 3, 4, 1, 2, 5, 5, 4, 4, 4}

    {4, 2, 1, 4, 2, 4, 2, 1, 1, 2, 4, 3, 4, 1, 4, 4, 5}

    {3, 4, 4, 5, 5, 4, 3, 1, 5, 5, 1, 1, 1, 2, 2, 2, 1, 4, 1, 1}

    Returns: 0

  50. {4, 2, 4, 4, 2, 5, 5, 4, 1, 4, 3, 3, 5, 2, 5, 1, 3, 2, 4, 1, 2, 4, 4}

    {4, 1, 2, 1, 1, 1, 5, 4, 5, 1, 4, 5, 3, 4}

    {1, 2, 4, 4, 4, 4, 1, 1, 4, 4, 5, 3, 5, 3, 3, 2, 4, 2}

    {2, 1, 4, 5, 2, 5, 4, 5, 1, 4, 1, 1, 1, 3, 2, 5, 4, 4, 5}

    Returns: 0

  51. {3, 4, 3, 1, 3, 3, 3, 2, 5, 5, 1, 3, 3, 3, 4, 4, 5, 4, 5, 1, 5, 1, 5, 3, 3, 1, 2, 3, 1, 1, 3, 4, 4, 5, 2, 1}

    {2, 2, 3, 3, 2, 2, 4, 2, 3, 1, 2, 3, 1, 5, 4, 3, 1, 2, 1, 2, 5, 1, 4, 5, 1, 2, 4, 1, 4, 4, 3, 3, 4, 3, 4, 5, 3, 2}

    {1, 5, 3, 2, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 4, 2, 2, 1, 3, 3, 5, 4, 2, 3, 3, 5, 1, 4, 2, 1, 1, 1, 3, 1, 1, 3, 5, 5, 2, 4, 1, 1}

    {3, 1, 2, 3, 5, 3, 3, 5, 2, 4, 3, 5, 4, 2, 1, 4, 3, 2, 3, 1, 4, 1, 3, 4, 2, 1, 2, 3, 3, 2}

    Returns: 0

  52. {5, 2, 4, 1, 4, 5, 2, 4, 2, 5, 3, 3, 5, 4, 2, 5, 2, 3, 4, 4, 2, 4, 4, 1, 4, 4, 5, 4, 3, 4, 1, 1, 1, 1, 3, 1}

    {2, 5, 4, 1, 1, 1, 4, 3, 3, 3, 2, 4, 1, 4, 3, 4, 2, 3, 1, 5, 4, 2, 5, 4, 5, 2, 4, 4, 4, 5, 4, 3, 4, 4, 5}

    {2, 4, 5, 3, 4, 5, 5, 4, 3, 2, 1, 3, 1, 2, 4, 4, 2, 4, 4, 4, 2, 4, 4, 1, 4, 3, 4, 2, 1, 2, 1, 1, 5, 1}

    {5, 4, 4, 1, 1, 1, 1, 4, 3, 4, 5, 4, 1, 4, 4, 3, 5, 3, 5, 5, 4, 3, 4, 5, 2, 3, 2, 5, 4, 2, 4, 4, 4, 5, 3, 3, 2}

    Returns: 0

  53. {3, 2, 1, 5, 4, 3, 5, 3, 4, 1, 5, 5, 2, 1, 5, 5, 1}

    {1, 3, 2, 2, 4, 3, 2, 4, 5, 1, 5, 4, 5, 5, 2}

    {2, 1, 5, 4, 5, 2, 3, 5, 1, 5, 3, 5, 4, 2, 5, 5, 2, 1, 4, 5}

    {4, 2, 4, 3, 1, 1, 3, 5, 1, 3, 2, 5}

    Returns: 0

  54. {1, 2}

    {3, 4}

    {4, 1}

    {2, 3}

    Returns: 0

  55. {1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2}

    {2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1}

    {2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1}

    {1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2}

    Returns: 429519049

  56. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1}

    {1}

    Returns: 0

  57. {1}

    {1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    Returns: 0

  58. {1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    Returns: 0

  59. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {1}

    {1}

    {1}

    Returns: 0

  60. {3, 3, 2, 4, 1, 3, 1, 2, 1, 1, 5, 5, 1, 2, 3, 1, 2, 1, 2, 1, 1, 1, 2 }

    {4, 1, 4, 3, 4, 4, 4, 3, 2, 1, 6, 2, 2, 3, 2, 2, 1, 3, 2, 3 }

    {4, 1, 4, 3, 4, 4, 4, 1, 3, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 2 }

    {3, 3, 2, 3, 4, 2, 1, 2, 1, 1, 5, 6, 5, 1, 3, 1, 2, 3, 1, 1, 1, 3 }

    Returns: 314159265

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