Statistics

Problem Statement for "TaroCards"

Problem Statement

Cat Taro has N cards. Exactly two integers are written on each card. You are given two int[]s first and second, each with N elements. For each i, the element first[i] represents the first integer on the i-th card, and the element second[i] represents the second integer on the i-th card.

It is known that for each x from 1 to N, inclusive, there is exactly one card with the first integer equal to x. In other words, all elements of first represent a permutation of integers from 1 to N, inclusive. On the other hand, second may contain duplicates, but all elements of second are only between 1 and 10, inclusive.

You are also given an int K. Taro wants to choose some subset of the cards (possibly none or all of them) in such a way that the total number of different integers written on the cards is less than or equal to K. Return the total number of ways to do that.

Definition

Class:
TaroCards
Method:
getNumber
Parameters:
int[], int[], int
Returns:
long
Method signature:
long getNumber(int[] first, int[] second, int K)
(be sure your method is public)

Constraints

  • first will contain between 1 and 50 elements, inclusive.
  • first and second will contain the same number of elements.
  • first will represent a permutation of integers between 1 and N, inclusive, where N is the number of elements in first.
  • Each element of second will be between 1 and 10, inclusive.
  • K will be between 1 and 2N, inclusive, where N is the number of elements in first.

Examples

  1. {1, 2}

    {2, 3}

    2

    Returns: 3

    In this case, there are four subsets of cards: None of the cards. The number of different integers is 0. Only the first card. The number of different integers is 2. Only the second card. The number of different integers is 2. Both the first and the second card. The number of different integers is 3. However, the last subset has too many different integers. Thus, the answer is 3.

  2. {3, 1, 2}

    {1, 1, 1}

    3

    Returns: 8

  3. {4, 2, 1, 3}

    {1, 2, 3, 4}

    5

    Returns: 16

  4. {1, 2, 3, 4, 5, 6, 7}

    {2, 1, 10, 9, 3, 2, 2}

    3

    Returns: 17

  5. {1}

    {2}

    1

    Returns: 1

  6. {3, 2, 1}

    {7, 8, 9}

    4

    Returns: 7

  7. {2, 1, 3}

    {3, 5, 4}

    3

    Returns: 5

  8. {7, 29, 19, 18, 24, 27, 28, 25, 22, 21, 1, 38, 10, 11, 4, 23, 8, 30, 9, 32, 2, 33, 3, 40, 14, 12, 31, 39, 26, 37, 13, 41, 42, 34, 17, 36, 16, 20, 6, 5, 15, 35}

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

    72

    Returns: 4398046511104

  9. {7, 1, 23, 15, 28, 27, 36, 40, 39, 30, 20, 35, 21, 6, 11, 33, 38, 8, 24, 13, 18, 32, 37, 22, 31, 17, 2, 5, 12, 3, 19, 25, 26, 9, 16, 29, 34, 4, 10, 41, 14}

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

    47

    Returns: 2199023255552

  10. {1, 2, 3}

    {5, 1, 7}

    3

    Returns: 5

  11. {6, 20, 1, 11, 19, 14, 2, 8, 15, 21, 9, 10, 4, 16, 12, 17, 13, 22, 7, 18, 3, 5}

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

    14

    Returns: 2239000

  12. {6, 1, 11, 7, 8, 12, 2, 15, 21, 17, 23, 13, 9, 5, 24, 10, 18, 14, 22, 19, 16, 20, 3, 4}

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

    4

    Returns: 615

  13. {42, 32, 6, 46, 17, 35, 9, 36, 11, 10, 41, 27, 31, 44, 19, 3, 2, 47, 26, 38, 1, 24, 20, 8, 16, 33, 28, 49, 48, 50, 37, 39, 40, 5, 23, 25, 34, 21, 18, 12, 22, 15, 14, 7, 30, 43, 4, 13, 29, 45}

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

    58

    Returns: 1125899906842624

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

    {5, 3, 9, 9, 8}

    1

    Returns: 1

  15. {1, 4, 5, 2, 6, 3}

    {5, 5, 5, 5, 3, 10}

    7

    Returns: 64

  16. {27, 22, 17, 23, 13, 28, 25, 15, 4, 14, 33, 31, 32, 21, 29, 30, 16, 18, 34, 19, 5, 6, 20, 3, 12, 1, 7, 24, 2, 10, 26, 11, 9, 8}

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

    55

    Returns: 17179869184

  17. {6, 7, 1, 4, 9, 13, 11, 5, 14, 15, 3, 12, 10, 2, 8}

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

    30

    Returns: 32768

  18. {18, 16, 15, 4, 6, 1, 5, 21, 20, 19, 7, 9, 22, 23, 24, 17, 3, 13, 11, 2, 12, 10, 14, 8}

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

    21

    Returns: 16762700

  19. {5, 35, 27, 7, 9, 29, 15, 2, 24, 30, 6, 11, 17, 16, 8, 18, 23, 28, 31, 13, 22, 32, 3, 12, 34, 33, 26, 25, 19, 4, 14, 1, 21, 10, 20}

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

    16

    Returns: 1185043478

  20. {24, 17, 18, 2, 29, 30, 15, 21, 26, 3, 27, 20, 9, 6, 1, 16, 28, 10, 25, 7, 14, 4, 12, 8, 23, 22, 11, 13, 5, 19}

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

    22

    Returns: 988793839

  21. {6, 27, 17, 8, 12, 19, 30, 18, 3, 4, 7, 11, 29, 22, 13, 24, 2, 1, 9, 14, 25, 16, 10, 21, 28, 20, 23, 5, 26, 15}

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

    16

    Returns: 174116125

  22. {5, 16, 8, 21, 27, 11, 34, 18, 26, 29, 28, 12, 24, 10, 15, 4, 13, 3, 20, 35, 9, 30, 31, 32, 19, 2, 1, 23, 22, 33, 25, 7, 14, 6, 17}

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

    69

    Returns: 34359738368

  23. {3, 12, 20, 17, 15, 22, 10, 4, 26, 30, 13, 21, 1, 2, 27, 29, 8, 11, 28, 23, 24, 14, 7, 25, 18, 16, 6, 5, 9, 19}

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

    5

    Returns: 3163

  24. {44, 7, 36, 35, 27, 23, 43, 17, 5, 32, 4, 14, 6, 15, 42, 3, 21, 41, 20, 28, 39, 26, 30, 12, 34, 18, 29, 31, 22, 16, 13, 40, 11, 2, 10, 9, 33, 1, 8, 19, 24, 25, 38, 37}

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

    58

    Returns: 17592186044416

  25. {5, 9, 10, 11, 8, 2, 3, 1, 7, 13, 4, 15, 14, 12, 16, 6}

    {4, 4, 9, 5, 9, 1, 2, 6, 5, 2, 4, 8, 4, 6, 9, 6}

    32

    Returns: 65536

  26. {23, 7, 21, 12, 8, 22, 20, 14, 6, 1, 18, 25, 13, 10, 3, 26, 17, 16, 15, 4, 24, 19, 9, 2, 5, 27, 11}

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

    24

    Returns: 134091308

  27. {8, 9, 33, 39, 10, 28, 26, 35, 7, 21, 36, 43, 16, 1, 11, 34, 37, 19, 41, 5, 22, 18, 30, 12, 32, 4, 42, 38, 17, 13, 40, 44, 24, 3, 29, 27, 2, 15, 20, 31, 23, 14, 25, 6}

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

    77

    Returns: 17592186044416

  28. {10, 11, 22, 49, 43, 19, 42, 24, 1, 28, 6, 3, 45, 35, 8, 9, 44, 30, 37, 31, 20, 36, 4, 47, 32, 26, 5, 16, 29, 13, 18, 25, 38, 12, 21, 41, 15, 7, 48, 46, 27, 34, 39, 50, 40, 23, 14, 33, 2, 17}

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

    71

    Returns: 1125899906842624

  29. {48, 5, 43, 15, 6, 14, 42, 16, 29, 4, 18, 23, 22, 41, 36, 46, 25, 19, 1, 3, 38, 31, 24, 34, 28, 50, 9, 37, 40, 10, 32, 17, 13, 7, 47, 39, 44, 49, 21, 2, 45, 26, 30, 8, 35, 33, 11, 27, 12, 20}

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

    95

    Returns: 1125899906842624

  30. {19, 48, 4, 15, 1, 33, 16, 24, 9, 34, 3, 25, 26, 39, 40, 50, 23, 8, 14, 22, 28, 47, 7, 38, 42, 41, 21, 20, 5, 18, 36, 49, 6, 10, 13, 2, 30, 29, 43, 32, 12, 45, 31, 35, 27, 44, 11, 17, 37, 46}

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

    3

    Returns: 282

  31. {21, 6, 47, 50, 11, 42, 46, 18, 44, 49, 15, 10, 2, 24, 17, 35, 22, 26, 14, 3, 19, 39, 5, 13, 43, 38, 8, 16, 4, 25, 45, 1, 48, 23, 29, 34, 41, 32, 9, 28, 37, 20, 12, 31, 36, 7, 27, 33, 40, 30}

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

    32

    Returns: 897702557280846

  32. {40, 11, 20, 27, 12, 2, 17, 38, 24, 6, 46, 14, 31, 32, 15, 49, 3, 41, 1, 36, 34, 25, 7, 16, 30, 39, 42, 44, 13, 4, 50, 28, 5, 35, 19, 47, 33, 43, 18, 8, 29, 45, 21, 26, 10, 37, 22, 48, 23, 9}

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

    30

    Returns: 662795624097119

  33. {1, 26, 30, 40, 31, 49, 22, 5, 34, 18, 35, 14, 2, 44, 20, 11, 7, 48, 21, 19, 28, 3, 25, 37, 23, 38, 10, 33, 16, 39, 46, 42, 8, 32, 9, 6, 27, 50, 45, 4, 17, 13, 43, 24, 15, 29, 47, 41, 36, 12}

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

    49

    Returns: 1125899906841600

  34. {29, 23, 37, 5, 4, 3, 45, 40, 16, 6, 21, 17, 25, 24, 36, 1, 22, 33, 15, 18, 9, 38, 10, 46, 41, 11, 2, 12, 30, 43, 8, 44, 34, 7, 19, 14, 35, 32, 49, 47, 20, 28, 39, 42, 31, 48, 26, 50, 27, 13}

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

    100

    Returns: 1125899906842624

  35. {44, 33, 45, 49, 28, 16, 36, 27, 46, 50, 35, 29, 31, 10, 34, 13, 30, 32, 9, 12, 38, 39, 7, 6, 14, 47, 4, 3, 11, 25, 20, 37, 23, 15, 5, 41, 17, 18, 19, 24, 26, 2, 48, 8, 40, 42, 21, 22, 43, 1}

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

    86

    Returns: 1125899906842624

  36. {45, 36, 10, 29, 27, 39, 24, 35, 13, 12, 8, 38, 50, 19, 33, 34, 3, 21, 41, 25, 11, 40, 7, 17, 16, 47, 46, 1, 49, 31, 22, 20, 26, 6, 4, 42, 15, 48, 14, 43, 32, 44, 18, 30, 28, 23, 5, 2, 9, 37}

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

    36

    Returns: 1106361934795974

  37. {47, 6, 5, 50, 35, 15, 36, 12, 14, 46, 25, 22, 4, 41, 1, 37, 28, 23, 27, 32, 30, 38, 20, 48, 43, 19, 31, 44, 24, 16, 10, 33, 29, 18, 17, 21, 39, 7, 9, 45, 3, 8, 34, 2, 26, 40, 49, 13, 42, 11}

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

    57

    Returns: 1125899906842624

  38. {28, 38, 1, 32, 3, 11, 45, 15, 9, 29, 39, 30, 13, 12, 41, 37, 42, 8, 22, 50, 27, 43, 33, 10, 44, 6, 26, 19, 47, 25, 5, 36, 20, 31, 23, 46, 7, 14, 24, 18, 4, 34, 21, 2, 49, 17, 40, 48, 35, 16}

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

    23

    Returns: 46996020311253

  39. {44, 27, 19, 41, 23, 26, 21, 2, 45, 22, 43, 40, 33, 9, 31, 39, 32, 1, 17, 16, 14, 42, 46, 38, 5, 37, 6, 7, 48, 50, 36, 8, 10, 13, 3, 4, 15, 30, 35, 20, 28, 18, 29, 11, 49, 47, 24, 34, 12, 25}

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

    63

    Returns: 1125899906842624

  40. {10, 41, 5, 34, 37, 21, 4, 8, 15, 27, 40, 29, 36, 47, 39, 31, 44, 7, 45, 18, 6, 22, 42, 3, 12, 30, 28, 26, 20, 9, 17, 2, 23, 46, 35, 13, 49, 1, 14, 38, 24, 25, 32, 11, 19, 43, 48, 16, 50, 33}

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

    83

    Returns: 1125899906842624

  41. {33, 5, 38, 10, 40, 26, 45, 21, 46, 20, 31, 27, 16, 6, 37, 28, 19, 41, 7, 35, 43, 3, 22, 12, 4, 49, 42, 14, 25, 18, 24, 11, 34, 36, 1, 39, 8, 29, 13, 44, 17, 23, 48, 2, 32, 50, 30, 9, 47, 15}

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

    24

    Returns: 76184755992800

  42. {7, 8, 11, 12, 2, 6, 22, 16, 15, 42, 43, 33, 28, 24, 41, 47, 31, 32, 23, 27, 37, 36, 44, 35, 46, 26, 17, 50, 34, 45, 49, 3, 38, 14, 48, 13, 39, 18, 40, 30, 4, 20, 5, 25, 21, 19, 10, 1, 9, 29}

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

    83

    Returns: 1125899906842624

  43. {23, 22, 1, 11, 10, 36, 50, 38, 48, 25, 20, 41, 46, 39, 18, 37, 44, 29, 17, 45, 9, 19, 49, 3, 34, 33, 26, 27, 40, 4, 43, 6, 13, 32, 47, 12, 16, 15, 24, 31, 8, 5, 42, 14, 2, 7, 35, 30, 28, 21}

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

    71

    Returns: 1125899906842624

  44. {1, 12, 18, 25, 44, 42, 19, 41, 4, 13, 32, 9, 17, 30, 14, 29, 38, 2, 15, 7, 23, 47, 40, 50, 34, 39, 45, 35, 20, 11, 36, 5, 6, 37, 31, 22, 21, 27, 24, 46, 16, 10, 26, 48, 8, 33, 43, 28, 49, 3}

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

    85

    Returns: 1125899906842624

  45. {9, 24, 45, 48, 38, 12, 1, 42, 8, 18, 34, 5, 35, 27, 13, 10, 19, 37, 39, 46, 41, 7, 6, 11, 28, 47, 40, 31, 25, 33, 15, 14, 17, 29, 43, 44, 23, 26, 32, 36, 2, 50, 49, 22, 21, 20, 16, 30, 4, 3}

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

    77

    Returns: 1125899906842624

  46. {30, 22, 15, 49, 23, 18, 4, 8, 10, 13, 34, 39, 48, 2, 28, 41, 16, 1, 31, 47, 45, 44, 32, 6, 21, 24, 7, 27, 42, 46, 25, 37, 50, 38, 20, 26, 43, 12, 19, 17, 11, 29, 36, 40, 5, 35, 3, 9, 14, 33}

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

    21

    Returns: 8986138396184

  47. {38, 42, 25, 44, 50, 22, 36, 30, 20, 41, 3, 43, 45, 16, 28, 39, 37, 47, 29, 48, 6, 26, 13, 18, 15, 27, 11, 5, 10, 46, 40, 7, 24, 32, 8, 2, 14, 9, 35, 4, 31, 49, 33, 19, 12, 1, 21, 23, 17, 34}

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

    93

    Returns: 1125899906842624

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

    {4, 10, 10, 7, 10, 8, 8, 3, 6, 3}

    2

    Returns: 13

  49. {7, 1, 2, 5, 4, 8, 6, 3, 10, 9}

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

    4

    Returns: 97

  50. {5, 8, 6, 10, 3, 1, 9, 7, 4, 2}

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

    4

    Returns: 260

  51. {38, 47, 27, 16, 4, 14, 6, 10, 17, 35, 13, 41, 1, 36, 44, 7, 45, 42, 11, 32, 5, 37, 40, 23, 9, 20, 28, 2, 12, 46, 22, 31, 43, 8, 25, 30, 3, 29, 26, 21, 18, 15, 34, 39, 33, 19, 24}

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

    19

    Returns: 1686208518105

  52. {20, 37, 39, 10, 3, 21, 31, 41, 8, 7, 11, 17, 4, 30, 40, 6, 48, 18, 25, 32, 36, 50, 27, 15, 34, 12, 16, 5, 35, 19, 33, 28, 1, 9, 47, 42, 22, 14, 13, 43, 23, 24, 2, 44, 46, 38, 49, 45, 29, 26}

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

    51

    Returns: 1125899906842624

  53. {19, 23, 5, 18, 34, 26, 39, 13, 22, 49, 41, 2, 33, 15, 17, 31, 43, 20, 40, 1, 25, 14, 47, 46, 28, 9, 11, 37, 10, 4, 24, 30, 29, 42, 7, 3, 27, 6, 21, 8, 32, 38, 16, 12, 36, 50, 45, 44, 35, 48}

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

    18

    Returns: 16497219573858

  54. {12, 25, 17, 39, 48, 28, 30, 15, 36, 44, 20, 26, 16, 24, 7, 5, 32, 3, 13, 8, 31, 29, 1, 21, 6, 19, 47, 49, 41, 34, 38, 4, 46, 10, 9, 43, 23, 14, 27, 33, 11, 45, 35, 18, 22, 37, 40, 50, 2, 42}

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

    80

    Returns: 1125899906842624

  55. {19, 12, 21, 13, 8, 2, 22, 14, 16, 7, 26, 37, 32, 45, 44, 40, 3, 34, 27, 23, 47, 11, 43, 31, 24, 39, 41, 20, 29, 46, 48, 25, 35, 33, 50, 15, 4, 5, 28, 38, 6, 10, 36, 1, 18, 42, 49, 30, 17, 9}

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

    55

    Returns: 1125899906842624

  56. {28, 20, 33, 49, 39, 40, 1, 16, 37, 45, 13, 27, 21, 26, 18, 6, 8, 30, 47, 24, 10, 17, 31, 4, 42, 36, 25, 3, 5, 35, 50, 34, 19, 48, 14, 41, 15, 23, 22, 32, 43, 29, 46, 38, 12, 2, 44, 11, 7, 9}

    {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}

    10

    Returns: 5214913020

  57. {7, 4, 11, 16, 27, 21, 22, 30, 10, 37, 5, 17, 39, 29, 8, 1, 2, 38, 25, 24, 31, 32, 6, 20, 28, 19, 12, 23, 13, 18, 15, 36, 26, 9, 40, 33, 34, 3, 35, 14}

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

    17

    Returns: 140668822451

  58. {33, 41, 23, 2, 29, 48, 40, 34, 46, 49, 3, 13, 26, 7, 35, 17, 6, 32, 39, 16, 20, 27, 25, 47, 28, 4, 38, 15, 36, 10, 44, 31, 37, 43, 12, 22, 1, 8, 42, 11, 24, 50, 9, 14, 18, 21, 30, 19, 5, 45}

    {10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

    50

    Returns: 1125899906842624

  59. {24, 25, 34, 10, 49, 11, 26, 36, 1, 20, 17, 22, 5, 4, 2, 50, 44, 43, 46, 21, 31, 35, 19, 23, 47, 37, 32, 7, 48, 41, 30, 14, 16, 39, 9, 6, 18, 38, 33, 29, 27, 12, 13, 40, 15, 42, 8, 28, 3, 45}

    {10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

    7

    Returns: 32244452

  60. {30, 44, 9, 21, 22, 6, 10, 15, 8, 4, 47, 11, 12, 35, 27, 38, 49, 41, 29, 19, 3, 5, 14, 17, 26, 23, 2, 34, 25, 33, 20, 42, 40, 36, 45, 31, 1, 48, 18, 13, 37, 7, 39, 28, 24, 32, 16, 46, 43}

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

    17

    Returns: 8248609195668

  61. {6, 20, 1, 11, 19, 14, 2, 8, 15, 21, 9, 10, 4, 16, 12, 17, 13, 22, 7, 18, 3, 5 }

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

    14

    Returns: 2239000

  62. {1, 2, 3, 4, 5, 6, 7 }

    {2, 1, 10, 9, 3, 2, 2 }

    3

    Returns: 17

  63. {50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 }

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

    25

    Returns: 123632820938336

  64. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49 }

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

    47

    Returns: 562949953380352

  65. {3, 1, 2 }

    {1, 1, 1 }

    3

    Returns: 8

  66. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50 }

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

    10

    Returns: 56296172

  67. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50 }

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

    50

    Returns: 1125899906842624

  68. {6, 20, 1, 11, 19, 14, 2, 8, 15, 21, 9, 10, 4, 16, 12, 17, 13, 22, 7, 18, 3, 5, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50 }

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

    98

    Returns: 1125899906842624

  69. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50 }

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

    100

    Returns: 1125899906842624

  70. {6, 20, 1, 11, 19, 14, 2, 8, 15, 21, 9, 10, 4, 16, 12, 17, 13, 22, 7, 18, 3, 5, 23, 24, 25, 26, 30, 29, 28, 27, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 41, 42, 44, 43 }

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

    36

    Returns: 17585228192400

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