Statistics

Problem Statement for "ProductQuery"

Problem Statement

Mrs. Jeipouju took part in a programming contest. One of the problems was as follows:

You are given an array A containing N integers. Each element of A is an integer between 0 and 9, inclusive. You are also given two arrays Qfrom and Qto, containing Q elements each. For each i, Qfrom[i] and Qto[i] describe the i-th query: you must take all elements of A with indices between Qfrom[i] and Qto[i], inclusive, and calculate their product modulo 10. Output exactly Q integers. The i-th number of the output must be the answer to the i-th query.

Mrs. Jeipouju made an input for this task by herself and generated the output using her program. However, she erased the array A by mistake - now she only knows int N, int[] Qfrom, int[] Qto and int[] output (output[i] is the i-th integer generated by her program). Return the number of possible arrays A, modulo 1,000,000,007. If there are no possible arrays A (i.e. her program is definitely wrong), return 0.

Definition

Class:
ProductQuery
Method:
theInput
Parameters:
int, int[], int[], int[]
Returns:
int
Method signature:
int theInput(int N, int[] Qfrom, int[] Qto, int[] output)
(be sure your method is public)

Constraints

  • N will be between 1 and 100, inclusive.
  • Qfrom, Qto and output will contain the same number of elements.
  • Qfrom, Qto and output will contain between 1 and 50 elements, inclusive.
  • Each element of Qfrom and Qto will be between 0 and N-1, inclusive.
  • For each i, Qto[i] will be greater than or equal to Qfrom[i].
  • Each element of output will be between 0 and 9, inclusive.

Examples

  1. 3

    {0}

    {0}

    {5}

    Returns: 100

    A[0] must be 5. A[1] and A[2] are arbitrary integers between 0 and 9.

  2. 5

    {0, 2, 0}

    {1, 4, 4}

    {3, 4, 6}

    Returns: 0

    Mrs. Jeipouju's program is definitely wrong.

  3. 3

    {0, 1}

    {1, 2}

    {5, 8}

    Returns: 4

    There are 4 possible inputs: A[0] = 5, A[1] = 1, A[2] = 8 A[0] = 5, A[1] = 3, A[2] = 6 A[0] = 5, A[1] = 7, A[2] = 4 A[0] = 5, A[1] = 9, A[2] = 2

  4. 8

    {2, 0, 3, 6}

    {3, 7, 4, 6}

    {2, 0, 6, 7}

    Returns: 118080

  5. 58

    {2, 7, 1, 15, 27, 5, 34, 26, 10, 22}

    {18, 34, 4, 29, 52, 40, 54, 36, 34, 25}

    {2, 6, 3, 4, 5, 0, 7, 8, 4, 1}

    Returns: 0

  6. 63

    {10, 5, 38, 8, 6, 16, 26, 15, 6, 52, 36, 9, 5, 47, 23, 34, 54, 16, 12, 45, 16, 17, 19, 10, 18, 18, 15, 25, 16, 1, 46, 19, 7, 6, 23, 36, 46, 3, 60, 50, 1, 2, 44, 19}

    {15, 19, 49, 30, 57, 46, 30, 44, 18, 57, 38, 19, 20, 59, 59, 45, 60, 44, 15, 55, 42, 58, 60, 61, 34, 52, 41, 30, 29, 39, 50, 56, 19, 6, 45, 55, 56, 6, 60, 55, 53, 35, 60, 22}

    {3, 0, 7, 0, 0, 9, 7, 1, 0, 5, 9, 0, 0, 5, 5, 1, 5, 7, 9, 5, 3, 5, 5, 5, 1, 3, 3, 1, 3, 0, 9, 5, 0, 9, 7, 5, 5, 1, 3, 5, 0, 0, 5, 7}

    Returns: 97245661

  7. 17

    {8, 3, 10, 6, 3, 10, 13, 5, 1, 3, 5, 2, 10, 2, 0, 0, 9, 6, 6, 0, 5, 5, 1, 3, 3, 7, 1, 0, 4}

    {14, 8, 12, 7, 13, 15, 14, 14, 14, 4, 9, 2, 14, 7, 10, 4, 13, 13, 7, 10, 7, 15, 15, 16, 7, 13, 11, 13, 14}

    {9, 7, 7, 7, 9, 9, 3, 9, 7, 3, 9, 3, 1, 9, 1, 1, 7, 1, 7, 1, 1, 1, 3, 1, 3, 1, 9, 3, 3}

    Returns: 1

  8. 5

    {1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 3, 3, 1}

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

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

    Returns: 1

  9. 58

    {25, 3, 34, 26, 2, 4, 8, 8, 33, 2, 36, 6, 26, 23, 45, 17, 6, 35, 19, 21, 3, 22, 22, 4, 36, 2, 52, 3, 7, 44, 29, 45, 3, 17, 8, 37, 24, 0, 0, 25, 40, 15, 39, 45, 16, 17, 29, 5, 13}

    {26, 49, 50, 47, 23, 16, 11, 36, 52, 43, 44, 34, 29, 31, 55, 33, 17, 49, 50, 48, 13, 47, 41, 40, 52, 43, 53, 18, 46, 55, 51, 49, 36, 54, 43, 44, 54, 33, 20, 41, 40, 27, 49, 55, 27, 47, 33, 43, 32}

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

    Returns: 61272473

  10. 12

    {7, 4, 8}

    {11, 5, 9}

    {7, 1, 1}

    Returns: 25600000

  11. 90

    {9, 40, 12, 64, 64, 47, 6, 27, 27, 35, 0, 50, 35, 77, 10, 13, 12, 13, 38, 25, 18, 34, 7, 24, 73, 60, 12, 17, 8, 28, 64, 41, 28, 14, 60, 25, 15, 65, 21, 0, 41, 53, 60, 19, 87, 62, 52, 67, 1}

    {59, 70, 72, 77, 87, 47, 36, 75, 88, 51, 40, 70, 44, 85, 51, 79, 12, 78, 48, 26, 86, 71, 55, 28, 82, 79, 49, 33, 67, 29, 76, 86, 60, 30, 75, 59, 57, 76, 46, 40, 48, 89, 72, 61, 89, 81, 87, 88, 11}

    {1, 1, 3, 3, 7, 7, 9, 1, 7, 9, 3, 3, 9, 3, 1, 3, 7, 9, 7, 1, 1, 9, 3, 1, 9, 3, 3, 1, 1, 7, 9, 7, 3, 7, 3, 7, 1, 3, 3, 3, 7, 7, 9, 9, 7, 1, 3, 3, 1}

    Returns: 140130951

  12. 41

    {3, 0, 6, 1, 1, 2, 4, 2, 25, 8, 13, 5, 29, 28, 26, 3, 16, 8, 19, 16, 19, 6, 17, 20, 2, 23, 10, 19, 11, 10, 20, 2, 32, 16, 25, 29, 21, 13, 0, 16, 16, 8, 31}

    {16, 26, 37, 27, 31, 20, 6, 19, 36, 36, 33, 7, 32, 35, 30, 19, 21, 24, 20, 32, 37, 38, 28, 39, 29, 24, 13, 33, 19, 11, 23, 37, 40, 34, 32, 34, 23, 18, 22, 26, 38, 19, 36}

    {0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 5, 0, 0, 0, 0, 0}

    Returns: 383485046

  13. 88

    {33, 48, 30, 1, 9, 71, 7, 42, 51, 35, 10, 12, 47, 16, 32, 57, 39, 48, 1, 21, 27, 8, 35, 5, 28, 2, 6, 17, 21, 3, 31, 48, 33, 47, 42, 48, 33, 73, 6, 55, 33, 23}

    {75, 82, 81, 54, 61, 86, 52, 59, 58, 84, 37, 59, 55, 48, 65, 78, 66, 51, 43, 58, 61, 54, 75, 49, 35, 85, 80, 80, 41, 57, 77, 48, 36, 71, 66, 58, 49, 81, 79, 79, 81, 77}

    {0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0}

    Returns: 870392260

  14. 71

    {33, 32, 33, 0, 18, 29, 26, 27, 3, 1, 14, 9, 47, 1, 5, 66, 18, 33, 48, 44, 34, 7, 47, 12, 61, 32, 40}

    {59, 36, 48, 56, 51, 46, 53, 43, 59, 62, 46, 15, 61, 23, 60, 69, 39, 45, 70, 67, 58, 18, 49, 68, 63, 45, 44}

    {4, 6, 6, 0, 0, 4, 8, 8, 0, 0, 0, 7, 2, 0, 0, 0, 0, 8, 0, 0, 8, 2, 6, 0, 4, 4, 8}

    Returns: 797550222

  15. 77

    {1, 5, 9, 18, 17, 16, 16, 60, 1, 53, 52, 4, 14, 56, 14, 37, 42, 14, 67, 33, 14, 18}

    {22, 57, 19, 23, 42, 67, 48, 66, 32, 57, 69, 64, 63, 56, 76, 39, 61, 39, 69, 39, 59, 58}

    {6, 0, 6, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 7, 0, 0}

    Returns: 124216283

  16. 100

    {8, 43, 74, 80, 25, 22, 38, 34, 11, 15, 63, 82, 45, 58, 62, 16, 75, 38, 27, 7, 7, 45, 7, 16, 21, 13, 13, 48, 43, 66, 7, 2, 6, 4, 21, 73, 0, 23, 24, 19, 57, 13, 67, 8, 7, 46, 16, 3, 9, 43}

    {99, 47, 95, 93, 45, 50, 42, 48, 23, 72, 88, 99, 67, 69, 94, 22, 91, 76, 96, 38, 59, 79, 19, 85, 84, 85, 71, 57, 96, 88, 60, 88, 7, 75, 34, 92, 94, 39, 87, 69, 60, 60, 75, 95, 57, 86, 95, 82, 91, 68}

    {7, 9, 1, 7, 9, 1, 9, 3, 1, 9, 3, 3, 3, 7, 7, 9, 3, 3, 9, 1, 3, 1, 3, 1, 3, 9, 3, 9, 9, 7, 7, 1, 1, 3, 1, 9, 1, 3, 7, 3, 9, 3, 9, 7, 9, 3, 7, 9, 3, 9}

    Returns: 976371285

  17. 100

    {14, 74, 56, 15, 1, 21, 32, 5, 45, 25, 11, 55, 5, 18, 28, 2, 27, 25, 46, 20, 4, 58, 43, 5, 3, 24, 47, 48, 42, 11, 6, 14, 17, 3, 37, 1, 34, 77, 12, 62, 22, 34, 62, 3, 86, 27, 32, 8, 59, 39}

    {79, 93, 86, 37, 90, 51, 70, 57, 75, 67, 24, 74, 55, 22, 41, 10, 83, 99, 65, 94, 21, 98, 50, 20, 32, 29, 87, 90, 55, 39, 14, 16, 29, 7, 84, 58, 41, 91, 35, 63, 73, 91, 99, 29, 96, 69, 98, 10, 89, 48}

    {0, 9, 3, 0, 0, 0, 6, 0, 8, 6, 0, 7, 0, 9, 9, 0, 2, 2, 2, 0, 0, 3, 1, 0, 0, 1, 6, 8, 6, 0, 0, 8, 0, 0, 8, 0, 7, 1, 0, 3, 0, 4, 3, 0, 3, 2, 2, 1, 7, 3}

    Returns: 76232588

  18. 100

    {66, 61, 56, 14, 49, 85, 24, 97, 29, 13, 10, 15, 48, 60, 57, 69, 30, 86, 34, 12, 1, 44, 7, 6, 19, 48, 75, 11, 2, 27, 22, 24, 25, 61, 23, 15, 18, 21, 34, 29, 49, 59, 31, 14, 42, 59, 61, 50, 14, 23}

    {96, 84, 83, 73, 65, 87, 76, 99, 45, 69, 16, 63, 72, 65, 69, 72, 38, 93, 57, 59, 66, 64, 8, 87, 82, 95, 81, 24, 11, 64, 58, 57, 37, 62, 60, 61, 77, 89, 39, 58, 80, 90, 62, 70, 58, 68, 87, 67, 40, 53}

    {0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 5, 0, 5, 8, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 4, 2, 0, 0, 0, 4, 7, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0}

    Returns: 541939092

  19. 100

    {58, 23, 5, 22, 40, 7, 30, 29, 12, 18, 63, 69, 27, 52, 34, 83, 3, 50, 19, 39, 33, 5, 12, 56, 18, 8, 26, 23, 41, 55, 20, 22, 0, 34, 46, 13, 45, 54, 2, 32, 31, 38, 51, 41, 16, 22, 40, 19, 28, 5}

    {67, 41, 76, 22, 62, 67, 83, 53, 47, 25, 79, 87, 58, 68, 51, 98, 30, 99, 20, 55, 67, 44, 34, 63, 84, 95, 92, 44, 75, 96, 54, 97, 73, 99, 65, 17, 58, 75, 32, 89, 35, 76, 57, 71, 92, 78, 76, 38, 34, 66}

    {0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 7, 0, 8, 0, 0, 0, 0, 0, 6, 0}

    Returns: 688853839

  20. 100

    {36, 64, 39, 52, 13, 3, 26, 11, 33, 2, 68, 83, 43, 34, 60, 13, 55, 20, 10, 26, 32, 39, 36, 34, 4, 25, 5, 26, 13, 22, 27, 8, 64, 13, 21, 82, 82, 21, 50, 20, 2, 36, 86, 54, 62, 2, 22, 51, 60, 4}

    {89, 95, 88, 68, 65, 80, 72, 90, 39, 27, 76, 88, 54, 45, 73, 23, 96, 93, 39, 70, 92, 52, 50, 54, 51, 79, 15, 52, 72, 49, 71, 25, 76, 76, 76, 85, 85, 23, 73, 34, 92, 39, 92, 93, 85, 29, 29, 97, 86, 79}

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0}

    Returns: 391463763

  21. 100

    {47, 12, 77, 15, 34, 79, 24, 9, 14, 32, 13, 32, 41, 14, 71, 15, 61, 93, 16, 26, 1, 34, 12, 79, 17, 25, 7, 16, 12, 60, 8, 21, 50, 16, 23, 48, 10, 14, 43, 6, 6, 46, 35, 43, 7, 4, 43, 36, 19, 14}

    {95, 98, 80, 37, 68, 92, 92, 96, 26, 80, 46, 85, 64, 28, 97, 21, 81, 96, 32, 74, 38, 74, 91, 83, 38, 26, 63, 41, 37, 88, 88, 66, 76, 22, 71, 90, 50, 53, 53, 87, 82, 72, 81, 95, 98, 80, 89, 57, 78, 42}

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: 745984555

  22. 100

    {37, 5, 15, 60, 5, 69, 90, 21, 6, 67, 15, 4, 45, 23, 32, 51, 42, 12, 55, 43, 3, 79, 67, 45, 37, 8, 30, 37, 2, 60, 18, 50, 66, 63, 60, 89, 9, 87, 23, 85, 26, 16, 41, 0, 19, 3, 7, 11, 6, 0}

    {88, 39, 18, 85, 8, 70, 99, 86, 28, 79, 42, 41, 65, 84, 91, 93, 74, 24, 94, 58, 67, 94, 94, 90, 43, 75, 80, 70, 57, 86, 48, 75, 94, 72, 72, 92, 13, 93, 66, 94, 93, 39, 71, 62, 41, 9, 20, 14, 17, 31}

    {0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0}

    Returns: 735272207

  23. 100

    {2, 29, 22, 21, 58, 55, 52, 45, 4, 5, 23, 27, 3, 18, 4, 0, 59, 75, 44, 46, 48, 5, 19, 8, 33, 31, 53, 24, 28, 24, 26, 27, 54, 16, 66, 19, 35, 13, 22, 7, 4, 74, 15, 36, 36, 52, 17, 5, 4, 10}

    {25, 85, 82, 43, 69, 58, 68, 47, 26, 33, 34, 56, 9, 41, 19, 88, 92, 92, 51, 69, 67, 55, 95, 25, 63, 48, 65, 82, 65, 62, 31, 87, 55, 90, 72, 55, 71, 66, 81, 14, 39, 85, 43, 85, 65, 96, 40, 95, 75, 28}

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: 763286431

  24. 100

    {59, 58, 24, 48, 64, 17, 82, 13, 3, 4, 68, 52, 54, 20, 31, 87, 45, 1, 0, 37, 48, 26, 72, 10, 30, 45, 15, 39, 11, 42, 21, 18, 41, 29, 32, 56, 29, 80, 37, 19, 36, 10, 19, 57, 48, 38, 92, 4, 61, 28}

    {62, 72, 99, 57, 81, 75, 92, 42, 71, 20, 72, 69, 60, 62, 48, 99, 71, 9, 90, 43, 86, 45, 74, 30, 94, 78, 43, 83, 95, 54, 65, 85, 91, 59, 69, 88, 92, 82, 66, 65, 79, 17, 75, 97, 67, 55, 99, 28, 87, 70}

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: 556369222

  25. 100

    {6, 25, 21, 51, 88, 50, 47, 32, 9, 58, 10, 33, 7, 28, 73, 41, 8, 17, 25, 12, 70, 20, 0, 60, 48, 65, 50, 68, 67, 16, 49, 43, 38, 18, 36, 28, 23, 11, 72, 16, 10, 5, 56, 36, 31, 3, 10, 38, 29, 27}

    {56, 63, 38, 61, 89, 83, 86, 97, 64, 93, 63, 69, 86, 47, 90, 45, 26, 45, 41, 93, 93, 86, 50, 97, 84, 95, 53, 82, 78, 95, 74, 77, 70, 79, 41, 60, 47, 20, 74, 41, 54, 49, 66, 51, 54, 82, 52, 49, 86, 36}

    {0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: 318628276

  26. 100

    {48, 8, 57, 81, 26, 67, 7, 32, 10, 25, 63, 14, 6, 36, 54, 36, 54, 16, 9, 1, 54, 25, 3, 9, 41, 15, 44, 16, 22, 50, 31, 53, 56, 38, 14, 69, 43, 0, 48, 32, 44, 12, 55, 30, 4, 81, 76, 10, 51, 27}

    {61, 85, 61, 84, 30, 79, 51, 37, 57, 78, 71, 74, 94, 86, 57, 94, 75, 34, 27, 17, 83, 52, 14, 36, 46, 24, 99, 46, 55, 73, 65, 83, 86, 59, 57, 92, 75, 87, 96, 93, 57, 47, 81, 50, 75, 86, 97, 22, 54, 82}

    {0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: 440364362

  27. 63

    {10, 5, 38, 8, 6, 16, 26, 15, 6, 52, 36, 9, 5, 47, 23, 34, 54, 16, 12, 45, 16, 17, 19, 10, 18, 18, 15, 25, 16, 1, 46, 19, 7, 6, 23, 36, 46, 3, 60, 50, 1, 2, 44, 19}

    {15, 19, 49, 30, 57, 46, 30, 44, 18, 57, 38, 19, 20, 59, 59, 45, 60, 44, 15, 55, 42, 58, 60, 61, 34, 52, 41, 30, 29, 39, 50, 56, 19, 6, 45, 55, 56, 6, 60, 55, 53, 35, 60, 22}

    {3, 0, 7, 0, 0, 9, 7, 1, 0, 5, 9, 0, 0, 5, 5, 1, 5, 7, 9, 5, 3, 5, 5, 5, 1, 3, 3, 1, 3, 0, 9, 5, 0, 9, 7, 5, 5, 1, 3, 5, 0, 8, 5, 7}

    Returns: 0

  28. 98

    {17, 8, 14, 59, 6, 43, 29, 27, 44, 54, 0, 10, 0, 53, 64, 35, 9, 27, 40, 46, 7, 60, 8, 48, 67, 41, 32, 45, 37, 49, 11, 49, 43, 13, 29, 2, 30, 11, 44, 12, 1, 0, 55}

    {27, 91, 66, 64, 87, 45, 87, 84, 85, 77, 89, 24, 54, 60, 66, 38, 81, 59, 93, 46, 91, 70, 67, 96, 89, 62, 67, 55, 57, 93, 94, 91, 57, 23, 79, 87, 58, 60, 77, 34, 75, 85, 89}

    {0, 0, 0, 7, 0, 4, 0, 0, 0, 6, 0, 0, 0, 2, 6, 2, 0, 0, 0, 6, 0, 2, 4, 0, 6, 0, 0, 0, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2}

    Returns: 0

  29. 61

    {20, 25, 21, 2, 9, 4, 2, 25, 7, 6, 36, 21, 18, 0, 20, 27, 0, 35, 15, 2, 7, 20, 37, 15, 18, 5, 44, 20, 2, 46, 10, 4, 16, 15, 12, 32, 6, 4, 8, 15, 19, 15, 28}

    {21, 49, 27, 48, 36, 6, 20, 39, 19, 37, 51, 27, 23, 51, 52, 32, 5, 39, 16, 6, 28, 46, 47, 22, 47, 44, 53, 42, 53, 60, 24, 14, 47, 31, 18, 39, 26, 31, 31, 37, 40, 55, 44}

    {3, 0, 0, 0, 0, 6, 6, 0, 3, 0, 8, 0, 9, 0, 0, 1, 4, 3, 9, 2, 0, 0, 2, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 7, 2, 0, 0, 0, 0, 0, 0, 6}

    Returns: 0

  30. 34

    {5, 12, 3, 1, 1, 9, 17, 5, 11, 3, 12, 3, 5, 11, 6, 5}

    {6, 23, 13, 26, 16, 17, 18, 30, 25, 9, 30, 18, 29, 14, 32, 30}

    {3, 0, 1, 0, 8, 9, 0, 0, 0, 1, 0, 0, 0, 1, 4, 0}

    Returns: 0

  31. 18

    {4, 3, 0, 5, 17, 0, 1, 15, 8, 15, 13, 1, 8, 3, 2, 12, 4, 7, 11, 12, 0, 0, 2, 4, 0, 3, 11, 8, 14, 10, 1, 4, 2, 10, 0, 3, 3, 9, 11, 8, 8, 3, 3, 13, 11, 1, 12, 9}

    {11, 10, 4, 12, 17, 6, 7, 17, 9, 16, 16, 11, 10, 14, 11, 15, 6, 16, 12, 13, 16, 17, 6, 9, 15, 8, 15, 13, 16, 16, 3, 10, 4, 14, 14, 4, 7, 14, 15, 12, 16, 15, 7, 15, 15, 14, 14, 10}

    {9, 7, 3, 3, 7, 7, 1, 3, 1, 9, 7, 1, 9, 3, 3, 1, 9, 9, 3, 9, 3, 1, 3, 9, 7, 1, 9, 9, 1, 6, 9, 1, 7, 1, 7, 7, 3, 3, 9, 7, 9, 3, 3, 3, 9, 1, 1, 7}

    Returns: 0

  32. 50

    {14, 5, 16, 4, 30, 30, 21, 3, 14, 31, 13, 20, 39, 42, 29, 12, 33, 14, 10, 39, 7, 1, 15, 24, 28, 15, 15, 44, 16, 38, 27, 29}

    {43, 47, 37, 12, 41, 46, 27, 23, 29, 42, 48, 29, 47, 49, 45, 27, 39, 25, 16, 45, 8, 43, 16, 29, 32, 36, 17, 46, 36, 45, 49, 41}

    {3, 7, 3, 1, 7, 1, 7, 1, 1, 3, 1, 9, 1, 7, 7, 9, 9, 3, 3, 9, 7, 7, 2, 7, 1, 9, 7, 7, 1, 1, 1, 1}

    Returns: 0

  33. 71

    {40, 35, 2, 46, 27, 17, 10, 33, 1, 11, 8, 2, 9, 35, 17, 21, 43, 0, 16, 7}

    {60, 59, 4, 58, 41, 68, 52, 47, 67, 19, 20, 13, 65, 37, 66, 49, 61, 25, 35, 58}

    {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 4, 0, 0, 0, 0, 0, 0}

    Returns: 11916467

  34. 27

    {11, 7, 20, 10, 6, 8, 18, 16, 3, 2, 0, 8, 8, 2, 2, 9, 6, 5, 9, 4, 4, 0, 4, 7, 6, 22, 3, 2}

    {24, 13, 22, 19, 26, 14, 20, 22, 15, 21, 10, 18, 23, 21, 25, 17, 17, 13, 24, 5, 5, 7, 11, 14, 18, 23, 12, 16}

    {4, 0, 3, 8, 0, 0, 1, 7, 0, 0, 5, 2, 0, 0, 0, 8, 0, 0, 2, 7, 7, 5, 5, 0, 0, 1, 5, 0}

    Returns: 0

  35. 99

    {63, 0, 17, 76, 32, 28, 13, 33, 23}

    {94, 96, 70, 76, 68, 38, 32, 85, 74}

    {4, 0, 0, 7, 1, 0, 0, 0, 0}

    Returns: 0

  36. 17

    {12, 9, 15, 14, 2, 8, 1, 11, 8, 3, 9, 2, 10, 13, 0, 5, 1, 0, 8, 14, 9, 4, 0, 11, 2, 0, 6, 6, 13, 10, 3, 1, 4, 3, 12, 0, 1, 1, 8, 10, 12, 5, 7, 6, 0, 2, 7, 11, 7}

    {14, 10, 15, 14, 3, 11, 15, 14, 13, 11, 9, 12, 14, 16, 10, 12, 16, 16, 10, 14, 14, 7, 10, 15, 14, 11, 8, 9, 14, 13, 6, 6, 8, 15, 15, 15, 11, 8, 14, 12, 16, 16, 9, 14, 0, 9, 7, 11, 15}

    {4, 2, 0, 8, 6, 8, 0, 4, 4, 0, 3, 0, 6, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 2, 0}

    Returns: 0

  37. 100

    {19, 60, 13, 60, 8, 57, 7, 16, 3, 82, 9, 39, 57, 19, 33, 53, 4, 89, 0, 9, 1, 6, 41, 8, 28, 71, 18, 67, 3, 9, 39, 17, 39, 67, 2, 9, 55, 48, 50, 30, 19, 50, 27, 49, 74, 23, 30, 4, 24, 78}

    {24, 69, 57, 67, 75, 95, 46, 86, 95, 91, 43, 68, 65, 94, 37, 74, 50, 94, 71, 34, 50, 62, 78, 28, 92, 76, 51, 76, 49, 31, 41, 66, 72, 93, 97, 43, 74, 94, 71, 95, 76, 93, 37, 69, 86, 64, 47, 80, 96, 81}

    {7, 7, 7, 7, 3, 9, 7, 7, 3, 7, 9, 3, 1, 9, 9, 1, 1, 8, 7, 9, 7, 9, 7, 1, 9, 7, 1, 9, 7, 7, 9, 1, 9, 7, 9, 9, 7, 3, 1, 9, 9, 1, 9, 3, 1, 7, 9, 9, 7, 3}

    Returns: 0

  38. 100

    {62, 3, 86, 27, 32, 8, 59, 39, 53, 18, 20, 77, 4, 68, 75, 33, 28, 71, 21, 12, 13, 69, 12, 87, 48, 13, 42, 28, 42, 4, 11, 1, 1, 20, 47, 47, 50, 61, 38, 76, 28, 62, 61, 1, 56, 15, 61, 8, 46, 0}

    {99, 29, 96, 69, 98, 10, 89, 48, 67, 20, 83, 80, 15, 99, 92, 59, 51, 84, 28, 25, 30, 79, 60, 99, 62, 13, 64, 78, 67, 93, 65, 91, 92, 41, 84, 67, 90, 86, 54, 91, 82, 87, 63, 19, 69, 93, 98, 33, 92, 48}

    {0, 6, 0, 6, 0, 9, 0, 9, 3, 1, 0, 9, 9, 0, 0, 3, 6, 0, 4, 9, 4, 0, 2, 0, 7, 9, 1, 0, 3, 0, 6, 0, 0, 6, 0, 3, 0, 5, 1, 0, 0, 0, 3, 9, 3, 0, 0, 8, 0, 4}

    Returns: 0

  39. 100

    {14, 23, 0, 4, 86, 60, 54, 35, 3, 1, 20, 33, 90, 40, 5, 19, 43, 44, 9, 25, 29, 9, 20, 9, 87, 17, 2, 72, 29, 6, 58, 25, 27, 49, 32, 14, 15, 15, 6, 50, 45, 19, 13, 3, 44, 46, 82, 15, 82, 64}

    {50, 40, 53, 71, 96, 91, 78, 77, 82, 51, 26, 56, 97, 94, 14, 59, 71, 87, 97, 51, 51, 16, 25, 26, 99, 86, 71, 81, 73, 93, 88, 45, 46, 90, 38, 83, 74, 88, 67, 65, 73, 77, 77, 81, 45, 84, 88, 67, 97, 72}

    {0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 0, 6, 0, 0, 8, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 8, 0, 6, 2}

    Returns: 159967581

  40. 100

    {67, 81, 51, 10, 5, 50, 59, 77, 10, 30, 56, 19, 21, 39, 32, 51, 77, 80, 27, 24, 2, 42, 12, 16, 34, 1, 6, 45, 23, 40, 37, 1, 12, 22, 46, 44, 25, 36, 66, 44, 7, 0, 16, 46, 11, 27, 34, 86, 87, 35}

    {88, 86, 88, 52, 27, 52, 61, 99, 60, 65, 91, 32, 66, 50, 94, 82, 85, 96, 54, 49, 42, 90, 47, 43, 43, 33, 91, 63, 49, 94, 46, 11, 27, 98, 75, 80, 45, 99, 85, 57, 28, 25, 19, 95, 18, 54, 92, 99, 97, 66}

    {0, 5, 0, 0, 2, 9, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 9, 0, 0, 0, 0, 0}

    Returns: 0

  41. 100

    {37, 35, 6, 82, 13, 12, 59, 21, 0, 46, 23, 21, 24, 18, 75, 9, 53, 5, 24, 20, 15, 6, 30, 49, 38, 8, 14, 45, 13, 29, 75, 58, 21, 18, 31, 1, 57, 43, 31, 7, 64, 21, 13, 25, 30, 47, 61, 6, 57, 16}

    {62, 60, 62, 99, 42, 14, 63, 85, 57, 85, 25, 56, 25, 58, 85, 27, 59, 89, 48, 88, 68, 12, 40, 93, 85, 11, 89, 76, 53, 32, 81, 59, 71, 73, 51, 11, 70, 82, 82, 20, 86, 39, 42, 81, 86, 55, 82, 8, 85, 59}

    {0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 6, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0}

    Returns: 0

  42. 100

    {2, 64, 48, 33, 34, 6, 22, 43, 26, 39, 86, 5, 84, 23, 13, 37, 3, 18, 12, 39, 31, 92, 21, 76, 90, 30, 21, 5, 34, 38, 37, 19, 23, 19, 39, 3, 7, 4, 85, 1, 9, 57, 4, 1, 9, 33, 33, 59, 79, 40}

    {21, 98, 73, 88, 75, 43, 80, 99, 90, 50, 98, 43, 93, 36, 55, 40, 61, 68, 93, 82, 59, 92, 77, 81, 98, 99, 32, 11, 91, 66, 77, 98, 83, 39, 81, 44, 52, 26, 89, 96, 80, 69, 65, 93, 60, 60, 48, 86, 80, 96}

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 4, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0}

    Returns: 0

  43. 100

    {29, 65, 53, 18, 12, 56, 6, 17, 85, 8, 35, 60, 24, 46, 13, 58, 36, 44, 62, 15, 11, 79, 35, 23, 7, 31, 13, 32, 10, 33, 6, 23, 73, 29, 35, 79, 66, 60, 44, 35, 42, 74, 4, 64, 71, 19, 44, 66, 27, 80}

    {60, 75, 83, 88, 15, 64, 49, 42, 93, 72, 76, 61, 57, 97, 89, 86, 88, 77, 82, 67, 83, 88, 79, 98, 98, 95, 62, 68, 24, 95, 20, 62, 78, 69, 50, 93, 96, 87, 81, 56, 70, 80, 81, 76, 89, 82, 75, 83, 31, 86}

    {0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0}

    Returns: 0

  44. 100

    {16, 93, 88, 15, 32, 43, 16, 72, 7, 23, 83, 38, 4, 27, 23, 49, 28, 33, 19, 38, 52, 50, 0, 32, 48, 29, 22, 10, 20, 8, 2, 6, 29, 62, 2, 22, 42, 30, 38, 59, 29, 61, 14, 36, 52, 46, 7, 64, 4, 17}

    {88, 95, 90, 57, 81, 47, 87, 81, 62, 28, 86, 98, 59, 33, 63, 59, 39, 53, 57, 94, 68, 89, 28, 93, 66, 67, 41, 81, 43, 78, 4, 6, 33, 82, 77, 39, 57, 77, 42, 64, 36, 73, 81, 61, 74, 49, 71, 83, 35, 37}

    {0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: 0

  45. 100

    {35, 91, 9, 20, 55, 0, 51, 4, 68, 9, 73, 26, 40, 7, 71, 64, 21, 0, 21, 79, 23, 87, 2, 14, 18, 49, 18, 39, 28, 26, 3, 74, 30, 46, 17, 10, 21, 57, 44, 3, 57, 57, 67, 36, 28, 77, 39, 13, 40, 90}

    {49, 93, 79, 50, 58, 36, 61, 83, 69, 65, 86, 81, 82, 9, 74, 78, 22, 12, 41, 99, 86, 93, 52, 71, 59, 83, 62, 99, 77, 87, 98, 99, 58, 72, 50, 76, 30, 92, 75, 40, 63, 80, 73, 58, 63, 78, 67, 88, 40, 93}

    {0, 0, 6, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 8, 0}

    Returns: 0

  46. 100

    {47, 50, 80, 54, 78, 50, 80, 41, 24, 12, 56, 95, 32, 4, 54, 22, 17, 38, 25, 9, 95, 3, 14, 33, 32, 60, 63, 31, 15, 51, 43, 18, 32, 14, 20, 8, 76, 76, 61, 26, 3, 1, 24, 1, 52, 47, 1, 49, 72, 20}

    {79, 73, 90, 65, 91, 94, 88, 88, 70, 92, 74, 96, 48, 73, 68, 43, 44, 57, 69, 24, 98, 80, 42, 57, 55, 87, 71, 40, 70, 53, 96, 29, 68, 46, 82, 47, 76, 96, 65, 40, 60, 18, 37, 40, 55, 75, 96, 85, 93, 76}

    {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0}

    Returns: 463140413

  47. 100

    {19, 10, 81, 22, 44, 56, 55, 13, 5, 12, 61, 8, 39, 0, 0, 29, 2, 7, 20, 2, 46, 9, 13, 17, 24, 13, 70, 14, 36, 76, 45, 60, 63, 0, 31, 0, 31, 56, 30, 17, 52, 44, 5, 1, 71, 56, 42, 18, 16, 18}

    {54, 79, 90, 81, 48, 66, 80, 20, 25, 52, 99, 65, 61, 71, 82, 53, 96, 72, 43, 88, 67, 53, 81, 88, 48, 58, 72, 47, 74, 89, 59, 60, 86, 45, 97, 8, 73, 85, 79, 34, 80, 86, 90, 63, 71, 61, 56, 86, 70, 36}

    {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0}

    Returns: 681971328

  48. 51

    {8, 2, 18, 29, 25, 5, 33, 22, 33, 19, 4, 18, 24, 33, 10, 16, 0, 20, 3, 26, 11, 28, 1, 13, 18, 33, 2, 22, 10, 45, 34, 11}

    {34, 43, 40, 40, 39, 49, 49, 24, 39, 46, 23, 47, 44, 44, 40, 32, 30, 28, 47, 34, 32, 41, 37, 48, 46, 46, 10, 47, 22, 50, 49, 34}

    {0, 1, 1, 5, 9, 7, 7, 1, 0, 3, 6, 3, 2, 1, 7, 0, 3, 4, 0, 9, 4, 1, 5, 3, 6, 2, 7, 7, 3, 8, 5, 3}

    Returns: 0

  49. 96

    {33, 3, 6, 26, 55, 90, 5, 25, 9, 25, 37, 73, 12, 81, 30}

    {50, 4, 52, 58, 91, 93, 29, 41, 17, 66, 95, 81, 65, 86, 51}

    {1, 4, 7, 5, 0, 7, 5, 2, 6, 5, 6, 3, 1, 7, 9}

    Returns: 0

  50. 93

    {8, 50, 9, 28, 6, 62, 69, 6, 57, 11, 23, 43, 38, 23, 62, 4, 41, 65, 47, 13, 65, 3, 20, 1, 15, 76, 35, 32, 10, 82, 9, 16, 70, 62, 1, 10, 9, 39, 59, 10, 38}

    {92, 61, 45, 84, 81, 91, 70, 27, 84, 73, 30, 83, 87, 61, 68, 45, 47, 85, 70, 85, 85, 63, 63, 73, 88, 82, 81, 79, 52, 83, 57, 30, 82, 62, 15, 80, 71, 63, 59, 35, 78}

    {5, 4, 9, 1, 7, 6, 2, 5, 6, 2, 0, 4, 8, 4, 5, 5, 6, 3, 7, 9, 9, 9, 5, 8, 1, 2, 2, 4, 5, 4, 7, 0, 4, 4, 3, 5, 2, 1, 0, 4, 7}

    Returns: 0

  51. 44

    {12, 11, 20, 15, 3, 4, 12, 16, 31, 10, 20, 7, 12, 11, 34, 9, 22, 9, 15, 33, 5, 4, 22, 25, 20, 8, 13, 8, 18, 32, 20, 17, 33, 9, 13}

    {34, 36, 35, 30, 4, 9, 12, 38, 40, 29, 35, 31, 33, 26, 38, 34, 40, 28, 30, 37, 32, 33, 25, 42, 41, 24, 26, 8, 28, 33, 37, 23, 43, 41, 32}

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

    Returns: 0

  52. 84

    {24, 68, 31, 26, 60, 5, 12}

    {39, 70, 51, 67, 63, 60, 68}

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

    Returns: 0

  53. 100

    {48, 30, 45, 10, 4, 41, 3, 15, 20, 2, 28, 31, 51, 7, 46, 6, 68, 21, 24, 42, 73, 61, 27, 38, 30, 46, 83, 46, 52, 25, 21, 45, 56, 22, 58, 6, 43, 19, 50, 76, 5, 11, 49, 40, 13, 11, 8, 11, 12, 11}

    {55, 48, 66, 43, 37, 47, 99, 79, 60, 42, 41, 70, 63, 66, 90, 95, 85, 29, 32, 68, 80, 93, 76, 47, 59, 94, 91, 60, 70, 89, 69, 63, 59, 86, 92, 40, 58, 30, 71, 89, 77, 24, 62, 48, 46, 85, 48, 18, 27, 62}

    {5, 4, 3, 7, 0, 8, 7, 9, 1, 3, 7, 4, 9, 4, 2, 6, 8, 8, 5, 1, 6, 0, 2, 6, 3, 0, 1, 2, 3, 0, 7, 2, 7, 7, 4, 3, 1, 6, 7, 9, 2, 6, 0, 5, 8, 2, 8, 7, 8, 2}

    Returns: 0

  54. 100

    {61, 26, 56, 53, 18, 53, 48, 40, 21, 50, 15, 26, 38, 38, 52, 18, 91, 36, 38, 51, 69, 49, 34, 46, 51, 2, 21, 32, 13, 15, 11, 14, 2, 6, 18, 25, 8, 34, 58, 32, 19, 16, 26, 3, 32, 58, 43, 27, 5, 46}

    {97, 38, 62, 79, 99, 94, 82, 42, 43, 77, 48, 54, 80, 72, 89, 43, 95, 72, 66, 77, 70, 75, 63, 70, 62, 22, 87, 69, 64, 92, 96, 76, 25, 23, 83, 37, 78, 75, 79, 99, 46, 44, 65, 52, 33, 88, 58, 88, 26, 48}

    {0, 5, 0, 8, 0, 5, 9, 4, 2, 2, 8, 3, 3, 4, 5, 8, 1, 9, 0, 3, 2, 1, 5, 1, 7, 7, 0, 9, 9, 5, 7, 0, 5, 2, 3, 9, 1, 6, 5, 9, 9, 1, 0, 6, 9, 1, 8, 5, 5, 5}

    Returns: 0

  55. 100

    {18, 66, 45, 47, 82, 86, 5, 27, 34, 76, 56, 80, 43, 23, 7, 6, 1, 22, 2, 45, 64, 94, 0, 1, 9, 41, 6, 15, 66, 33, 87, 57, 20, 79, 2, 41, 6, 9, 33, 11, 12, 35, 45, 7, 19, 50, 16, 13, 23, 58}

    {90, 99, 61, 87, 83, 95, 97, 31, 90, 88, 88, 89, 53, 61, 33, 94, 58, 72, 42, 86, 66, 96, 64, 38, 18, 41, 67, 50, 94, 89, 91, 69, 80, 92, 55, 91, 25, 53, 78, 84, 42, 79, 74, 13, 23, 92, 84, 18, 81, 99}

    {3, 0, 7, 7, 8, 9, 3, 2, 0, 6, 2, 8, 9, 4, 4, 6, 1, 6, 6, 8, 1, 5, 4, 7, 6, 6, 8, 5, 7, 2, 6, 5, 9, 6, 1, 1, 2, 3, 1, 3, 6, 5, 2, 9, 3, 0, 0, 2, 0, 8}

    Returns: 0

  56. 100

    {42, 41, 6, 35, 69, 67, 5, 95, 16, 31, 46, 33, 86, 42, 26, 17, 35, 5, 41, 28, 8, 0, 30, 15, 70, 9, 37, 48, 42, 9, 27, 1, 6, 14, 0, 62, 59, 33, 13, 45, 84, 16, 11, 2, 56, 1, 73, 4, 30, 37}

    {86, 58, 16, 65, 86, 88, 21, 96, 90, 89, 95, 95, 93, 58, 75, 68, 66, 30, 72, 58, 86, 19, 85, 91, 71, 32, 69, 75, 72, 71, 63, 88, 16, 91, 89, 83, 90, 43, 90, 71, 94, 96, 71, 90, 93, 47, 82, 68, 52, 99}

    {5, 3, 1, 5, 1, 2, 0, 4, 0, 3, 1, 5, 8, 6, 9, 5, 1, 0, 6, 2, 0, 5, 4, 9, 3, 5, 0, 6, 8, 1, 9, 0, 9, 4, 5, 0, 9, 9, 7, 8, 7, 6, 0, 7, 4, 7, 7, 5, 2, 7}

    Returns: 0

  57. 100

    {35, 53, 13, 17, 26, 37, 35, 35, 18, 21, 52, 8, 51, 9, 43, 33, 23, 27, 46, 10, 62, 20, 59, 58, 55, 54, 76, 15, 15, 14, 83, 57, 28, 12, 39, 6, 35, 49, 59, 4, 4, 95, 58, 10, 12, 23, 8, 35, 19, 87}

    {37, 86, 40, 37, 70, 92, 87, 36, 71, 51, 60, 61, 56, 90, 61, 65, 78, 60, 75, 20, 96, 62, 62, 75, 71, 73, 77, 81, 39, 74, 97, 97, 62, 23, 44, 29, 69, 84, 59, 16, 36, 99, 93, 35, 98, 31, 97, 55, 71, 95}

    {8, 7, 8, 0, 1, 3, 1, 5, 1, 3, 7, 1, 7, 2, 6, 7, 8, 0, 4, 1, 5, 6, 2, 6, 6, 4, 6, 1, 0, 4, 5, 2, 9, 6, 5, 6, 7, 5, 8, 9, 6, 0, 5, 5, 3, 4, 2, 4, 5, 4}

    Returns: 0

  58. 100

    {0}

    {99}

    {0}

    Returns: 257145574

  59. 100

    {0}

    {99}

    {1}

    Returns: 124861268

  60. 10

    {0, 0, 0, 2, 1, 0, 1, 7, 1, 0, 4, 0, 6, 3, 0, 0, 2, 2, 0, 5, 5, 7, 4, 6, 4, 3, 6, 4, 2, 3, 0, 0, 5, 1, 2, 6, 1, 0, 1, 1, 4, 5, 1, 7, 1, 3, 0, 0, 2, 3}

    {4, 5, 4, 4, 3, 6, 6, 9, 5, 4, 5, 9, 7, 4, 4, 9, 6, 3, 9, 9, 9, 9, 7, 9, 6, 5, 7, 9, 5, 8, 1, 7, 6, 3, 7, 8, 2, 0, 8, 4, 7, 7, 8, 8, 7, 9, 5, 3, 4, 7}

    {9, 1, 9, 7, 1, 7, 9, 9, 7, 9, 7, 3, 1, 3, 9, 3, 1, 9, 3, 7, 7, 9, 7, 3, 9, 7, 1, 1, 3, 3, 7, 1, 3, 1, 3, 9, 1, 3, 3, 3, 7, 9, 3, 7, 7, 1, 1, 3, 7, 7}

    Returns: 1

  61. 10

    {0, 0, 0, 2, 0, 1, 6, 0, 5, 2, 1, 2, 0, 3, 6, 0, 2, 3, 0, 3, 0, 5, 4, 3, 0, 1, 3, 0, 5, 9, 0, 5, 3, 5, 2, 3, 3, 5, 6, 6, 4, 2, 1, 0, 1, 0, 4, 7, 4, 2}

    {2, 5, 6, 5, 7, 4, 8, 9, 5, 4, 6, 8, 5, 8, 9, 9, 5, 4, 5, 5, 5, 5, 8, 3, 4, 6, 4, 7, 9, 9, 7, 7, 7, 6, 2, 5, 3, 7, 7, 7, 9, 8, 5, 6, 4, 0, 6, 9, 9, 5}

    {3, 3, 7, 3, 1, 7, 1, 1, 7, 9, 1, 3, 3, 1, 7, 1, 3, 3, 3, 1, 3, 7, 7, 3, 9, 1, 3, 1, 9, 7, 1, 9, 7, 3, 3, 1, 3, 9, 7, 7, 9, 3, 9, 7, 7, 7, 3, 3, 9, 3}

    Returns: 1

  62. 10

    {1, 1, 2, 4, 1, 5, 2, 7, 2, 3, 5, 6, 2, 3, 0, 1, 7, 7, 0, 0, 1, 3, 3, 0, 3, 1, 1, 4, 3, 5, 7, 1, 3, 5, 8, 3, 1, 4, 2, 1, 2, 2, 1, 4, 2, 1, 3, 6, 6, 3}

    {9, 2, 7, 5, 3, 8, 6, 8, 7, 4, 9, 7, 7, 5, 8, 6, 7, 8, 9, 0, 6, 9, 8, 4, 9, 8, 2, 4, 5, 9, 8, 8, 9, 9, 9, 4, 1, 6, 7, 5, 2, 3, 4, 7, 4, 3, 5, 9, 6, 9}

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

    Returns: 1

  63. 10

    {8, 8, 5, 3, 6, 6, 0, 0, 1, 1, 0, 3, 3, 1, 5, 7, 6, 2, 4, 7, 0, 2, 0, 0, 2, 4, 7, 5, 0, 2, 1, 2, 0, 7, 0, 1, 0, 2, 6, 6, 4, 3, 1, 3, 1, 2, 2, 0, 8, 2}

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

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

    Returns: 1

  64. 10

    {2, 1, 1, 1, 2, 3, 5, 0, 7, 1, 6, 4, 0, 7, 1, 6, 0, 2, 6, 1, 6, 2, 7, 4, 0, 9, 1, 1, 6, 3, 3, 1, 3, 3, 5, 4, 1, 3, 5, 6, 5, 0, 2, 2, 0, 0, 2, 5, 6, 5}

    {6, 7, 2, 4, 7, 5, 8, 8, 9, 8, 7, 8, 9, 8, 6, 8, 0, 4, 8, 8, 7, 8, 7, 8, 3, 9, 4, 4, 8, 5, 7, 4, 9, 4, 6, 8, 2, 9, 5, 7, 9, 3, 8, 9, 6, 6, 3, 8, 7, 9}

    {5, 5, 3, 1, 5, 3, 5, 5, 1, 5, 5, 5, 5, 9, 5, 5, 7, 7, 5, 5, 5, 5, 7, 5, 7, 9, 1, 1, 5, 3, 5, 1, 5, 7, 5, 5, 3, 5, 9, 5, 5, 7, 5, 5, 5, 5, 7, 5, 5, 5}

    Returns: 1

  65. 15

    {6, 5, 9, 0, 11, 3, 9, 5, 1, 7, 10, 0, 0, 4, 2, 6, 11, 0, 7, 14}

    {10, 9, 10, 9, 12, 4, 10, 14, 2, 8, 14, 14, 14, 12, 14, 9, 14, 3, 11, 14}

    {7, 0, 3, 0, 0, 5, 3, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 4, 9, 7}

    Returns: 3840

  66. 20

    {0, 12, 10, 9, 5, 7, 17, 4, 9, 4, 5, 6, 12, 3, 1}

    {16, 12, 13, 19, 15, 9, 19, 16, 16, 13, 7, 9, 14, 5, 18}

    {0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 1, 0, 0, 0}

    Returns: 999820807

  67. 20

    {9, 6, 2, 3, 1, 3, 12, 3, 4, 6, 10, 18, 10, 11, 15, 5}

    {12, 12, 4, 13, 7, 14, 17, 10, 5, 13, 11, 19, 17, 14, 17, 8}

    {7, 5, 7, 5, 0, 5, 8, 5, 3, 5, 3, 9, 4, 1, 6, 5}

    Returns: 276398080

  68. 58

    {5, 5}

    {8, 8}

    {1, 2}

    Returns: 0


This problem statement is the exclusive and proprietary property of TopCoder, Inc. Any unauthorized use or reproduction of this information without the prior written consent of TopCoder, Inc. is strictly prohibited. (c)2024, TopCoder, Inc. All rights reserved.
This problem was used for: