Statistics

Problem Statement for "WolfPackDivTwo"

Problem Statement

Wolf Sothe is a member of the wolf pack called Grid Walkers. The N wolves in the pack are numbered 0 through N-1. (Wolf Sothe is the wolf number 0, but this does not matter.)

At any moment, each wolf is located at some grid point in the plane. Multiple wolves may share the same grid point. For each i, the wolf number i is initially located at (x[i],y[i]). Then there are exactly m rounds in which the wolves move. In each round, each wolf must move from its current grid point to one of the four adjacent grid points. More precisely, the wolf located at (i,j) has to move to (i+1,j), (i-1,j), (i,j+1), or (i,j-1).

The wolves have a goal: all of them have to be located at the same grid point after the m-th round. The grid point at which they all meet is not given - they can choose any grid point.

You are given the int[]s x and y, and the int m. Count and return the number of ways in which the wolves can reach their goal, modulo 1,000,000,007. Two ways of reaching the goal are different if in some round the same wolf moves in a different direction. (Equivalently, two ways of reaching the goal are different if there is some number of rounds x and a wolf y such that the grid point of the wolf y after x rounds of the first way differs from the grid point of the wolf y after x rounds of the second way.)

Definition

Class:
WolfPackDivTwo
Method:
calc
Parameters:
int[], int[], int
Returns:
int
Method signature:
int calc(int[] x, int[] y, int m)
(be sure your method is public)

Constraints

  • x will contain between 2 and 50 elements, inclusive.
  • y will contain the same number of elements as x.
  • m will be between 1 and 50, inclusive.
  • Each element of x and y will be between 0 and 50, inclusive.
  • The points (x[i],y[i]) will be pairwise distinct.

Examples

  1. {3,5}

    {0,0}

    1

    Returns: 1

    There are two wolves: one at (3,0) and the other at (5,0). There will be 1 round of movement. Thus, the meeting point has to be (4,0), wolf 0 has to move by (+1,0) and wolf 1 by (-1,0). This is the only way of reaching the goal.

  2. {0,1}

    {0,0}

    1

    Returns: 0

    In this case the two wolves cannot be at the same grid point at the end. Note that they both have to move.

  3. {0,2,4}

    {0,0,0}

    2

    Returns: 4

    In this case, the meeting point has to be (2,0). Wolf 0 has to go (0,0) -> (1,0) -> (2,0). Wolf 2 has to go (4,0) -> (3,0) -> (2,0). Wolf 1 has 4 possible ways of reaching the meeting point: in the first step he can choose any direction, and in the second step he will then choose the opposite direction.

  4. {33,31,23}

    {12,22,30}

    17

    Returns: 32212804

  5. {34,28,16,12,44,34}

    {18,16,4,28,38,24}

    38

    Returns: 170739128

  6. {29,13,47,10,16,29,29,5,40}

    {36,46,36,7,17,4,26,42,45}

    25

    Returns: 0

  7. {5,28,28,50,28,13,50,14,17,42,1,21}

    {3,24,34,22,38,7,44,46,9,36,45,33}

    12

    Returns: 0

  8. {39,18,34,7,31,24,37,8,15,14,40,17,42,29,36}

    {34,0,49,18,24,1,10,39,6,25,49,0,1,34,33}

    38

    Returns: 0

  9. {15,3,44,29,24,8,31,45,37,4,29,21,8,39,20,8,44,50}

    {45,45,32,33,36,16,47,17,29,12,13,19,42,39,42,40,16,46}

    23

    Returns: 0

  10. {45,32,48,17,28,26,7,21,16,21,4,0,28,1,12,22,3,15,26,16,14}

    {38,49,15,32,37,0,28,48,9,36,15,21,31,0,29,29,12,14,35,35,1}

    50

    Returns: 0

  11. {0,3,19,31,8,26,20,38,19,38,41,7,26,10,17,5,50,18,34,46,24,10,41,17}

    {12,5,1,3,18,14,2,14,3,16,17,11,36,24,37,47,18,10,48,18,24,38,29,5}

    38

    Returns: 722032521

  12. {22,30,7,7,50,33,46,41,5,9,44,25,2,48,14,21,43,18,25,28,14,47,33,34,7,28,4}

    {33,33,22,8,9,4,15,20,12,2,47,24,17,21,1,46,26,0,26,37,49,22,36,43,38,13,47}

    23

    Returns: 0

  13. {28,2,33,11,22,25,40,18,45,35,41,44,14,35,43,45,11,36,3,39,21,43,32,42,36,21,11,10,30,35}

    {26,48,39,37,46,33,2,40,33,49,39,48,26,31,1,49,13,0,5,41,29,15,8,4,44,17,15,4,2,39}

    41

    Returns: 0

  14. {10,24,41,34,30,44,6,1,21,44,7,19,20,24,49,20,36,13,24,50,30,39,33,13,17,45,45,18,35,27,18,31,21}

    {23,15,22,13,19,7,9,38,44,41,48,4,37,1,48,35,49,30,17,49,39,30,28,12,40,4,32,27,44,4,25,30,16}

    2

    Returns: 0

  15. {19,39,23,1,4,26,37,12,1,37,33,9,26,20,34,37,29,30,44,22,22,44,42,0,50,6,1,30,15,16,25,12,23,16,9,29}

    {29,45,35,11,22,44,23,6,5,11,11,1,30,24,44,15,21,42,20,34,36,46,14,20,40,30,13,44,15,24,43,32,25,20,0,45}

    8

    Returns: 0

  16. {32,28,48,37,29,42,9,13,49,37,32,30,4,32,16,40,36,27,14,8,50,46,44,0,0,40,43,26,3,45,43,16,18,47,33,41,25,47,41}

    {11,0,33,44,32,0,10,2,36,30,3,43,47,47,35,7,15,40,17,33,11,39,11,47,31,39,30,5,30,32,12,21,15,46,42,28,4,40,34}

    27

    Returns: 0

  17. {21,11,7,14,32,46,39,28,30,36,4,5,48,48,29,50,22,19,2,47,2,10,32,20,20,19,27,8,30,50,16,45,44,34,2,7,48,44,39,5,18,15}

    {45,17,0,22,20,26,43,26,40,26,48,0,22,30,23,46,2,7,34,15,42,42,28,24,28,17,41,8,44,42,20,25,34,44,10,27,6,16,33,5,0,45}

    10

    Returns: 0

  18. {6,1,33,6,49,44,48,1,29,39,13,9,24,35,20,37,15,7,6,14,21,26,26,33,0,12,38,41,6,11,20,48,28,14,40,25,50,12,13,45,1,48,46,39,18}

    {17,28,40,47,20,29,3,8,32,2,18,42,49,22,37,26,34,28,31,23,36,27,29,8,27,17,25,26,19,0,43,39,27,37,33,22,41,3,38,20,44,15,21,46,41}

    50

    Returns: 611169760

  19. {34,6,14,47,39,0,15,49,34,37,27,30,8,28,40,43,17,16,24,29,13,16,25,19,30,47,3,10,0,18,4,15,2,8,29,14,21,35,20,5,24,14,37,46,4,15,12,5}

    {44,50,36,25,33,10,27,47,50,41,29,20,38,42,44,7,13,16,0,33,7,50,19,21,16,13,21,4,32,38,8,39,18,36,15,6,49,0,8,29,4,8,3,40,42,15,44,5}

    22

    Returns: 0

  20. {25,33,42,47,5,37,14,49,35,47,41,45,42,4,49,33,18,11,31,5,3,3,24,32,8,7,30,20,32,13,32,0,46,4,10,39,13,32,0,49,3,6,48,30,20,4,15,29,15,2}

    {36,36,29,30,48,48,17,42,10,32,42,42,37,39,28,4,11,16,16,22,10,16,41,7,19,14,49,15,13,44,23,25,45,25,7,28,24,39,45,20,24,1,47,47,5,7,2,30,28,19}

    5

    Returns: 0

  21. {29,16,18,30,36,21,50,33,36,19,49,32,14,29,3,17,24,17,49,38,24,43,7,16,10,14,8,13,1,2,40,17,43,2,46,30,26,3,18,1,3,49,43,43,15,49,43,24,38,46}

    {31,12,4,14,16,17,46,49,8,27,11,2,48,15,47,15,28,1,17,28,16,19,47,2,8,38,8,29,19,6,20,47,3,32,10,4,40,49,44,41,5,13,21,23,49,25,27,0,0,4}

    9

    Returns: 0

  22. {26,32,13,6,25,39,44,18,42,8,4,9,27,20,49,10,44,28,18,33,3,21,10,43,15,46,48,34,44,13,30,22,35,27,29,2,30,34,9,29,17,36,7,48,46,36,31,45,49,31}

    {29,33,14,19,24,46,9,23,7,31,25,2,46,29,0,19,19,9,25,4,28,42,17,18,6,37,19,49,13,24,27,13,28,22,26,45,21,37,8,30,18,15,10,25,5,49,18,2,30,20}

    4

    Returns: 0

  23. {18,20,1,25,36,19,12,15,6,36,40,2,0,45,49,46,29,28,2,30,48,46,10,4,12,40,12,28,16,20,4,14,29,41,45,33,17,10,14,49,32,38,46,30,29,50,34,30,50,43}

    {22,26,9,1,32,3,36,29,50,34,24,28,22,9,19,44,17,24,36,4,30,36,10,28,32,18,0,48,42,12,2,2,21,11,15,9,49,38,4,43,44,22,42,10,7,2,0,32,24,0}

    5

    Returns: 0

  24. {6,50,24,11,2,37,22,31,32,11,27,8,27,5,30,13,0,34,8,18,29,34,3,45,21,5,49,48,42,28,22,15,44,11,47,12,0,22,5,45,2,27,18,29,20,31,6,42,43,31}

    {1,35,7,26,7,10,3,28,39,20,24,43,0,20,11,32,31,31,3,47,18,41,46,26,46,18,12,49,43,15,13,38,29,8,28,1,21,29,30,22,9,2,7,0,45,26,9,31,34,30}

    20

    Returns: 0

  25. {50,28,34,3,20,34,35,30,46,37,29,27,44,46,23,17,20,43,11,0,27,17,1,15,44,24,24,16,34,31,32,11,36,6,16,31,17,20,24,9,7,4,48,37,20,27,2,48,4,0}

    {28,20,42,35,22,6,39,14,32,49,0,41,22,0,3,17,46,31,39,42,47,7,49,23,4,42,6,22,30,7,40,1,18,50,26,23,31,6,44,43,49,38,28,33,8,3,32,14,16,32}

    3

    Returns: 0

  26. {43,7,20,22,44,6,49,30,24,26,46,49,41,45,35,7,28,50,15,35,0,1,14,10,50,25,3,35,5,22,14,0,30,12,38,14,46,36,16,35,28,39,0,39,1,6,30,49,19,2}

    {24,42,17,47,47,7,38,7,25,45,31,16,26,40,32,12,11,21,4,20,47,26,37,17,39,44,10,24,32,45,3,1,9,19,47,21,45,3,37,26,37,42,7,24,6,29,41,14,38,19}

    26

    Returns: 0

  27. {14,22,10,31,38,16,48,4,9,42,24,30,37,24,9,9,32,42,26,2,8,13,18,5,12,11,22,32,1,11,33,42,38,48,26,5,9,16,12,50,36,3,38,32,15,49,11,43,21,6}

    {34,48,2,49,12,32,26,38,49,0,36,28,21,32,21,31,44,26,20,20,32,29,22,7,40,11,38,16,21,25,15,48,32,30,16,33,17,10,4,28,14,49,4,14,45,23,0,9,17,18}

    16

    Returns: 0

  28. {34,23,0,11,2,40,6,28,27,13,12,46,23,15,22,28,10,4,16,47,18,21,27,4,25,2,13,3,10,33,6,36,37,13,15,33,37,44,11,15,36,2,35,48,31,13,49,32,7,46}

    {21,30,19,6,1,1,25,25,2,42,3,17,40,46,3,33,25,39,3,50,0,8,38,47,8,23,14,42,11,48,27,13,40,4,38,28,28,41,30,22,41,45,20,39,38,6,0,1,0,27}

    27

    Returns: 0

  29. {16,8,19,22,27,16,49,35,50,40,12,0,26,0,23,45,12,19,45,39,36,24,9,14,21,41,9,35,20,26,14,4,3,14,4,4,40,42,36,28,21,3,46,43,43,10,47,29,20,46}

    {4,10,19,16,21,46,17,25,0,48,0,22,2,32,19,31,36,7,29,11,28,2,27,48,27,13,29,13,32,26,34,34,17,50,12,36,46,38,4,34,31,33,18,3,45,0,25,11,30,2}

    42

    Returns: 0

  30. {34,29,5,0,38,40,14,47,42,19,11,11,4,25,0,28,22,28,13,15,16,42,6,3,20,39,26,48,4,4,20,0,18,31,20,2,1,7,8,45,49,30,50,41,19,29,13,45,43,47}

    {15,40,12,41,15,35,37,16,33,16,4,8,35,20,13,5,29,49,14,22,25,31,31,40,31,46,25,47,37,17,47,19,27,0,11,19,22,10,31,44,8,25,31,10,22,46,28,24,40,2}

    44

    Returns: 201839943

  31. {26,42,16,39,31,9,30,19,14,39,13,18,17,33,17,33,35,7,25,6,45,2,3,25,34,39,10,27,33,50,19,44,46,46,2,33,44,42,17,30,16,16,10,26,10,49,45,24,7,38}

    {50,48,18,19,25,13,46,43,6,17,43,26,43,29,29,41,31,3,13,26,11,6,17,41,30,43,12,39,43,20,31,48,10,38,32,27,12,24,17,38,30,44,34,44,46,41,43,32,5,20}

    26

    Returns: 0

  32. {6,23,26,46,14,34,29,18,1,33,31,5,12,29,37,45,39,14,5,9,8,35,4,17,38,44,3,4,38,1,44,19,42,40,10,4,27,46,46,4,26,41,13,4,10,33,19,13,15,46}

    {23,24,25,3,0,35,36,9,34,8,8,10,37,6,18,28,4,7,20,16,5,22,11,24,5,17,8,21,41,50,27,28,39,3,15,35,28,13,17,49,47,20,48,37,39,44,2,0,14,35}

    12

    Returns: 0

  33. {24,6,22,16,35,2,27,14,11,45,34,9,20,33,4,33,6,38,41,10,27,0,22,30,9,15,42,8,18,5,22,9,16,5,27,21,31,18,44,9,48,4,25,38,14,26,6,35,15,38}

    {38,44,48,8,21,24,43,28,33,49,10,41,32,47,36,41,10,36,25,36,47,38,2,28,9,41,32,44,8,17,22,39,16,27,49,39,25,28,32,23,26,42,29,32,10,10,32,0,5,10}

    33

    Returns: 0

  34. {49,47,30,6,26,37,42,36,1,12,24,25,43,50,2,36,0,35,22,2,8,20,43,9,15,12,14,24,33,36,16,20,31,12,2,46,32,9,2,25,2,28,41,19,47,42,12,24,46,34}

    {42,36,0,45,23,46,27,7,44,19,39,46,44,5,15,35,3,22,9,7,43,43,28,30,4,33,7,49,24,29,35,35,26,3,37,17,11,32,39,22,25,3,44,8,4,37,39,37,41,5}

    21

    Returns: 0

  35. {33,42,36,18,2,5,48,3,11,23,39,21,37,4,37,41,46,43,23,11,22,34,33,1,5,35,22,8,28,48,37,8,5,22,3,12,39,21,41,25,36,33,20,46,28,41,9,3,43,24}

    {41,18,50,2,48,43,2,7,1,11,19,27,35,18,17,1,4,35,43,23,16,2,49,11,25,43,26,4,14,22,41,32,45,32,35,20,21,15,41,1,38,23,42,0,22,19,37,11,23,8}

    34

    Returns: 0

  36. {10,9,11,26,8,22,11,42,18,20,12,3,11,17,30,20,24,12,41,6,45,14,23,12,4,31,36,35,25,45,44,29,46,8,11,0,17,32,41,19,27,44,20,17,13,34,38,36,42,16}

    {31,6,30,29,7,15,32,1,15,35,23,8,6,36,31,49,39,27,24,9,18,25,8,15,39,14,23,6,40,40,9,10,49,21,50,5,44,45,2,6,36,13,13,28,14,17,3,3,31,35}

    28

    Returns: 0

  37. {26,8,0,48,39,28,29,11,31,36,38,32,3,19,37,17,49,50,10,1,34,2,19,19,31,36,40,20,3,40,24,23,14,45,25,15,48,5,18,36,18,38,46,34,34,44,29,11,1,27}

    {50,4,46,10,3,34,29,49,7,26,16,4,11,19,41,11,13,18,46,5,10,38,27,23,47,30,48,42,41,26,2,11,18,13,37,13,16,7,28,48,2,22,20,40,22,44,39,11,1,29}

    4

    Returns: 0

  38. {14,14,45,22,33,25,46,20,8,21,33,16,14,33,48,6,19,4,43,13,30,48,16,28,30,31,40,10,43,39,2,3,18,38,19,1,9,24,28,14,30,16,11,23,28,11,17,24,6,8}

    {31,37,20,15,18,26,39,7,3,4,40,41,49,48,3,5,2,5,46,32,39,25,0,15,45,30,27,11,2,18,13,18,43,19,46,26,42,31,3,47,27,47,6,48,39,36,22,41,13,15}

    10

    Returns: 0

  39. {5,4,16,9,39,21,12,7,44,2,48,4,3,43,5,46,46,19,23,48,4,13,44,43,21,36,43,4,22,32,40,36,21,48,38,6,37,43,33,29,4,17,31,43,27,41,6,24,1,35}

    {45,40,30,37,21,19,46,41,8,0,22,20,23,39,25,28,34,1,47,46,38,21,16,23,35,30,41,48,10,24,14,36,37,44,14,22,27,43,31,33,12,21,47,45,41,27,18,14,37,49}

    26

    Returns: 0

  40. {35,47,39,41,42,49,18,42,37,29,24,30,50,0,5,33,3,37,49,46,13,34,12,5,25,14,9,39,47,4,36,35,11,5,3,15,29,47,38,34,41,19,23,30,9,18,34,29,46,42}

    {12,28,42,18,45,28,39,33,8,24,43,31,47,17,38,2,0,34,14,37,36,19,39,18,20,5,8,44,2,47,27,46,22,26,6,34,6,26,7,31,36,12,12,39,0,49,13,42,7,27}

    12

    Returns: 0

  41. {13,25,19,42,33,29,37,20,26,2,31,4,1,33,27,49,25,2,20,46,6,36,20,9,9,37,21,33,43,42,38,39,9,17,4,43,48,30,0,17,5,30,33,12,6,38,26,36,21,50}

    {35,45,19,16,15,9,25,40,50,26,25,24,5,41,35,21,39,4,36,24,26,36,18,31,5,43,0,21,29,22,48,17,33,11,42,3,16,2,4,3,15,34,17,18,20,42,22,34,15,30}

    48

    Returns: 0

  42. {48,17,33,39,11,14,46,35,25,3,24,10,24,11,46,10,37,19,0,19,11,42,30,0,9,1,7,46,38,8,13,0,26,37,33,30,36,45,9,43,38,24,31,8,24,30,29,5,27,36}

    {11,6,12,46,44,27,21,0,22,38,47,27,49,12,11,9,10,4,27,14,0,29,1,19,50,28,10,13,3,37,0,39,49,32,14,21,15,8,10,20,25,5,0,1,39,3,6,44,10,17}

    20

    Returns: 0

  43. {20,35,26,7,18,27,44,35,4,42,5,24,8,1,41,25,6,12,38,37,46,17,11,5,47,8,16,22,19,6,5,18,18,14,24,26,15,28,13,32,12,10,46,20,0,27,4,34,5,13}

    {38,45,28,5,24,21,4,49,20,6,1,28,18,47,35,7,44,2,2,17,2,43,19,3,11,22,4,18,47,22,7,4,48,34,22,4,15,50,3,16,42,2,0,16,44,37,18,6,31,11}

    9

    Returns: 0

  44. {22,17,28,21,14,30,44,7,41,38,15,9,6,43,11,31,31,28,36,0,7,39,5,20,42,26,21,47,27,44,17,10,4,28,28,3,4,20,1,1,0,40,15,45,8,41,7,44,12,38}

    {19,48,27,28,45,49,35,32,30,13,0,42,43,38,24,4,44,41,23,25,10,26,40,47,17,49,30,32,30,43,14,11,39,13,21,4,41,25,40,14,43,19,28,32,3,18,46,49,9,15}

    11

    Returns: 0

  45. {32,25,48,13,5,15,30,33,22,2,31,18,24,4,49,26,49,8,37,36,2,9,38,45,41,42,9,48,11,16,8,44,32,14,25,30,13,42,35,1,30,41,9,43,34,19,22,31,41,40}

    {46,39,38,31,29,11,0,37,12,40,43,8,36,32,31,16,13,4,19,14,2,17,26,47,39,40,27,44,11,48,40,22,48,38,13,6,3,4,19,23,46,33,45,37,38,29,38,9,27,2}

    28

    Returns: 0

  46. {8,19,30,35,27,9,50,14,18,41,40,14,48,17,33,49,23,40,18,35,10,6,19,40,50,5,13,6,24,0,1,1,8,13,42,26,23,5,36,38,37,25,43,44,29,38,3,15,25,37}

    {27,16,31,48,12,16,25,19,37,44,9,3,7,34,24,2,14,45,19,26,7,5,46,39,5,46,30,37,33,31,20,32,37,40,13,25,24,18,39,11,10,26,46,45,48,23,10,42,42,12}

    23

    Returns: 0

  47. {48,20,43,19,10,15,20,44,12,35,8,37,37,30,10,34,49,2,36,17,47,1,31,40,9,19,22,34,12,24,26,5,15,42,36,37,8,41,21,7,47,30,44,46,36,20,8,24,50,7}

    {36,38,41,43,18,15,50,42,28,41,36,27,17,48,36,42,15,18,30,25,21,15,33,24,43,45,44,28,2,4,42,29,19,20,32,41,32,23,35,25,41,2,44,0,6,40,30,24,0,41}

    5

    Returns: 0

  48. {44,3,8,9,34,6,1,19,31,45,8,19,7,2,4,29,33,34,3,24,6,34,50,8,33,35,36,26,16,36,14,42,17,27,21,37,44,37,47,1,49,20,4,14,50,38,28,21,41,49}

    {21,34,5,30,23,5,44,30,22,48,9,28,18,7,23,20,2,29,32,43,43,1,35,17,0,32,39,49,13,7,27,5,10,24,4,42,3,2,16,4,30,37,1,15,43,19,13,26,50,6}

    9

    Returns: 0

  49. {41,31,26,11,49,46,41,49,33,34,24,4,9,36,37,37,49,30,1,38,10,30,25,35,41,46,49,5,12,32,24,50,5,8,18,6,14,46,3,5,17,1,2,3,4,45,25,45,5,36}

    {49,45,6,31,9,34,25,45,3,18,48,14,17,20,17,39,11,12,17,8,6,28,33,41,0,28,0,47,38,46,14,16,11,4,2,16,32,48,49,29,17,33,38,39,28,43,49,17,13,22}

    47

    Returns: 0

  50. {18,47,36,24,44,41,3,11,21,12,38,37,47,8,41,31,4,29,17,30,43,48,6,49,10,2,31,18,8,50,7,49,26,34,37,35,17,3,37,4,3,16,49,41,44,22,42,40,13,19}

    {49,20,17,35,25,38,16,28,0,29,17,38,0,27,34,16,35,44,4,25,14,41,21,16,43,39,6,9,7,41,2,40,37,17,36,4,48,12,12,25,26,19,10,6,7,23,45,47,40,28}

    1

    Returns: 0

  51. {23,19,35,32,38,42,18,41,16,19,35,22,20,8,42,9,29,27,43,37,4,23,30,47,17,25,24,48,5,2,46,24,42,49,24,41,12,30,19,45,22,9,2,15,24,42,44,0,31,2}

    {3,47,29,36,38,44,0,3,44,3,21,42,8,6,18,37,23,25,41,15,32,25,26,17,17,0,36,44,39,28,22,32,26,41,22,43,36,42,31,39,6,19,24,31,30,10,24,28,41,36}

    16

    Returns: 0

  52. {28,23,36,46,20,40,41,22,11,22,26,23,30,10,21,9,13,15,14,4,20,0,21,31,46,34,33,21,20,37,27,44,35,0,28,18,5,19,39,12,27,17,14,10,4,13,37,5,46,10}

    {15,44,39,25,5,21,28,17,0,15,39,4,49,47,16,18,32,34,35,41,13,19,40,46,45,45,14,42,7,28,24,3,50,39,0,43,16,16,18,11,16,6,31,15,21,4,8,0,15,23}

    31

    Returns: 0

  53. {13,43,13,23,31,7,43,17,42,43,47,5,25,2,6,18,34,46,33,32,49,1,22,6,46,25,13,49,43,39,44,43,31,27,22,33,11,18,19,20,49,35,33,5,32,7,34,34,45,13}

    {47,47,23,37,7,19,19,45,30,11,39,31,29,36,34,6,22,24,3,34,3,25,42,2,46,23,41,1,13,39,4,15,1,47,34,21,0,42,1,26,17,45,19,39,16,31,6,0,0,19}

    12

    Returns: 0

  54. {47,25,41,40,21,13,43,2,10,44,4,29,33,0,23,33,20,36,38,7,37,9,12,18,18,30,1,22,28,47,34,12,0,3,18,11,9,4,5,36,35,21,4,35,28,20,24,21,19,11}

    {30,20,10,45,44,10,38,31,25,17,5,44,46,1,36,10,19,29,3,32,34,24,17,39,5,9,32,33,21,16,11,29,33,32,49,18,12,9,0,17,50,12,43,4,27,37,41,16,10,8}

    18

    Returns: 0

  55. {3,4,25,1,25,39,11,5,50,20,30,10,41,2,6,2,30,3,22,33,35,47,48,23,10,17,15,12,33,8,28,38,49,3,21,30,43,11,20,7,1,1,3,30,37,42,44,27,32,15}

    {9,28,37,31,17,33,45,33,14,20,20,2,17,36,44,48,24,33,2,27,31,3,38,41,32,7,49,24,43,12,6,34,37,29,41,22,7,49,10,37,23,43,3,10,33,36,30,49,36,5}

    22

    Returns: 0

  56. {18,2,11,7,14,26,7,15,46,15,19,15,12,18,23,13,43,38,13,46,6,31,19,34,40,22,16,11,44,7,48,5,20,23,43,28,6,17,46,11,17,32,17,27,1,8,17,13,34,25}

    {19,25,8,38,41,11,14,48,17,50,38,10,33,47,40,26,24,21,12,31,25,36,46,19,17,9,23,42,15,12,41,38,41,26,6,11,13,28,37,2,22,21,2,32,0,15,50,22,0,40}

    46

    Returns: 0

  57. {15,7,7,33,30,5,23,47,10,43,25,5,21,50,38,50,34,40,21,31,27,2,48,41,36,9,8,8,49,11,30,0,40,48,17,34,49,47,20,41,40,3,43,0,13,13,38,35,25,46}

    {25,43,35,43,24,49,37,21,36,31,41,31,31,16,24,26,40,40,37,35,41,38,2,1,8,0,10,50,27,21,36,46,32,12,39,36,47,43,34,31,8,25,3,14,17,33,0,9,5,24}

    3

    Returns: 0

  58. {47,14,27,23,40,2,45,39,26,0,24,39,50,32,11,16,27,22,47,3,41,33,34,2,45,41,30,17,32,46,41,28,3,11,39,12,28,22,31,26,5,20,41,36,46,20,35,34,7,11}

    {22,25,32,48,1,31,24,10,35,49,27,6,15,35,6,29,18,41,12,6,40,32,21,5,10,16,41,42,17,11,30,5,16,44,38,7,17,15,42,0,12,15,14,27,1,27,26,27,36,30}

    39

    Returns: 0

  59. {50,43,27,30,30,37,21,40,7,30,38,18,39,27,5,6,34,22,37,8,33,33,16,19,19,28,36,4,28,39,37,8,8,11,15,27,35,19,7,41,30,35,33,18,49,41,0,42,23,45}

    {6,33,15,42,36,5,35,40,47,40,26,10,39,1,41,30,28,10,35,16,23,33,30,17,5,10,28,6,46,25,11,44,2,15,13,43,9,7,1,23,16,15,1,6,35,13,28,30,43,23}

    20

    Returns: 0

  60. {50,17,22,27,2,21,25,41,24,13,19,13,12,17,39,0,16,15,49,14,25,45,31,24,12,41,31,18,37,27,5,26,35,42,2,46,5,41,31,38,18,0,8,5,46,48,1,13,43,46}

    {23,44,45,6,19,18,50,24,45,34,22,14,19,34,38,19,27,36,18,5,34,6,18,49,5,8,8,37,2,14,38,45,36,37,9,25,12,18,36,17,17,1,43,14,45,23,36,36,44,27}

    34

    Returns: 0

  61. {13,29,8,21,43,37,33,8,49,4,47,45,46,14,27,48,46,33,3,36,11,31,21,38,30,33,6,24,30,31,1,44,35,45,45,29,20,4,48,14,1,41,47,32,2,42,34,1,17,34}

    {15,39,40,47,49,11,23,24,3,34,49,27,44,16,1,16,20,0,43,12,35,31,7,16,10,41,38,6,32,1,33,44,25,45,1,41,12,18,46,48,15,21,39,48,46,24,26,47,15,36}

    33

    Returns: 0

  62. {49,32,24,43,2,5,40,44,44,4,39,47,48,4,34,0,32,48,23,24,43,40,42,9,34,42,10,47,19,39,16,2,23,24,40,34,9,40,38,29,40,1,49,43,42,32,9,49,28,30}

    {40,45,3,12,27,6,47,9,3,15,2,18,39,29,45,21,39,5,38,9,32,49,45,2,1,33,5,38,14,38,33,47,46,7,27,35,20,35,35,44,39,24,16,18,29,27,32,32,39,47}

    42

    Returns: 0

  63. {19,32,39,13,16,40,34,6,36,40,23,41,12,43,31,0,44,36,50,23,31,29,15,17,0,37,20,15,18,0,45,18,23,16,47,1,20,20,43,10,3,29,7,35,39,44,21,40,44,41}

    {21,28,39,19,18,36,32,40,20,0,11,45,8,13,29,8,50,32,36,3,33,15,43,27,6,19,2,7,34,50,33,36,33,16,37,17,38,40,37,48,15,7,29,39,47,40,11,30,46,0}

    16

    Returns: 0

  64. {41,14,1,3,17,28,48,29,6,23,14,7,2,28,35,36,24,20,48,36,9,49,28,7,13,29,12,48,49,43,38,7,29,17,0,25,49,14,42,48,30,1,4,9,7,40,1,23,30,27}

    {20,25,44,38,46,1,5,32,39,22,27,28,49,17,24,49,11,23,23,45,20,12,37,24,24,0,17,1,8,20,49,12,14,44,9,2,42,33,35,21,11,30,29,36,16,15,14,32,9,14}

    9

    Returns: 0

  65. {24,36,13,25,20,8,20,34,9,28,39,30,49,24,33,45,40,7,5,30,15,8,40,43,22,25,35,24,33,41,11,8,50,11,1,25,44,18,1,30,49,47,50,32,11,35,47,15,37,14}

    {18,46,21,3,2,20,28,14,9,44,15,2,37,44,9,41,20,3,0,18,11,44,28,49,6,0,31,0,29,19,49,42,50,39,1,35,0,20,25,48,35,49,24,22,31,33,17,17,11,28}

    48

    Returns: 0

  66. {0,43,8,11,31,36,27,50,9,41,19,44,15,33,41,47,1,2,20,8,0,6,34,45,25,1,31,12,49,38,35,3,38,26,42,3,19,42,47,33,0,5,6,16,16,28,47,19,28,42}

    {27,16,27,50,34,5,38,11,20,28,24,45,44,20,38,38,26,49,49,3,35,9,7,34,22,38,30,17,18,47,8,48,13,37,29,42,26,19,30,36,9,22,25,1,33,49,26,40,33,9}

    5

    Returns: 0

  67. {28,16,26,6,10,18,42,40,14,15,3,48,32,10,37,16,41,44,44,9,27,18,18,45,0,35,39,17,9,46,9,37,14,46,23,33,35,35,41,31,22,48,21,6,16,47,37,35,23,27}

    {22,10,18,12,28,48,32,34,16,43,29,20,26,42,15,16,23,34,32,31,31,40,4,1,42,37,35,23,45,24,35,17,2,14,15,19,47,39,49,11,28,4,11,16,20,37,7,49,21,25}

    1

    Returns: 0

  68. {11,4,50,21,7,23,50,13,37,50,35,22,15,42,12,5,44,12,1,15,49,25,10,28,7,43,29,19,17,38,9,20,31,27,0,46,29,13,25,33,20,26,30,9,4,27,0,49,32,33}

    {28,49,43,22,34,6,5,10,32,1,34,37,22,15,27,6,35,25,0,50,38,30,41,1,32,6,50,42,4,13,34,29,48,36,21,11,42,18,48,22,49,37,17,32,25,20,27,30,23,0}

    4

    Returns: 0

  69. {27,34,26,50,25,36,20,32,49,38,42,40,36,24,9,39,14,21,38,17,39,5,24,6,0,39,33,37,43,38,29,15,11,24,49,6,29,30,22,8,29,11,33,4,20,2,34,15,0,30}

    {13,8,42,42,49,28,48,22,11,40,26,20,46,8,41,45,26,21,0,3,23,25,48,22,50,9,17,29,39,14,35,3,5,42,23,12,3,42,38,38,1,17,1,48,22,20,4,11,22,34}

    26

    Returns: 0

  70. {42,47,39,19,25,8,49,26,29,11,30,20,33,8,0,19,21,47,29,9,28,17,4,18,1,36,25,48,44,10,28,29,34,15,36,35,40,46,44,45,14,26,41,4,10,32,36,31,0,18}

    {49,0,24,44,10,19,44,43,22,0,47,11,10,37,3,0,40,4,40,22,21,38,43,29,50,45,8,9,35,49,15,34,37,42,5,2,37,25,27,8,5,47,38,41,13,27,15,36,9,31}

    12

    Returns: 0

  71. {27,10,25,14,44,27,19,19,5,18,39,12,33,18,8,32,35,7,30,29,33,50,46,49,35,28,7,6,38,6,38,45,8,34,43,30,41,30,28,23,29,34,33,3,49,47,1,29,25,8}

    {33,2,1,22,4,27,5,45,19,42,1,6,43,38,6,22,7,41,50,1,27,26,12,47,41,4,15,42,28,0,24,15,2,32,9,20,3,36,14,35,9,20,11,37,41,45,3,17,19,12}

    8

    Returns: 0

  72. {36,14,26,2,4,22,9,16,1,39,6,9,20,25,4,47,27,15,10,27,26,40,20,24,25,5,34,34,27,38,20,34,22,45,12,28,48,23,37,48,26,37,1,43,9,46,18,26,25,4}

    {43,1,47,5,7,47,6,39,20,18,31,44,31,50,29,12,38,18,47,40,13,3,49,1,0,24,45,15,34,1,11,41,33,12,13,23,17,30,24,43,17,2,46,46,38,13,11,31,40,17}

    19

    Returns: 0

  73. {38,34,34,47,32,15,25,13,15,1,24,48,20,24,19,18,35,17,10,6,40,19,32,48,50,20,47,11,50,2,37,37,1,26,31,32,43,48,5,30,3,34,31,49,44,18,35,34,16,38}

    {8,4,46,17,18,37,49,41,39,3,42,6,30,46,37,20,39,5,38,22,0,33,26,20,8,0,31,5,44,12,47,45,47,22,37,20,9,30,15,0,23,38,1,17,38,24,5,6,44,10}

    11

    Returns: 0

  74. {21,25,45,44,20,19,49,17,40,45,7,32,31,29,4,8,42,32,39,34,33,39,3,4,9,37,5,41,15,44,21,28,4,26,48,29,14,6,19,47,3,6,31,0,0,35,40,12,50,37}

    {2,36,28,7,17,42,16,34,0,26,42,31,48,28,43,7,39,33,10,9,34,44,46,5,10,30,24,16,0,37,14,23,13,47,29,16,31,39,36,18,14,41,50,43,23,14,7,0,15,28}

    6

    Returns: 0

  75. {3,35,31,32,13,36,6,6,11,7,46,49,47,37,13,19,24,16,35,28,41,15,39,17,35,19,31,0,30,37,11,49,24,25,39,20,25,14,9,23,2,9,11,17,5,19,19,12,30,15}

    {23,43,23,38,45,36,30,20,37,27,30,33,5,27,43,27,32,32,33,10,43,5,9,21,13,17,27,30,12,33,15,21,18,47,35,46,15,46,49,1,26,3,17,11,7,33,47,38,36,3}

    19

    Returns: 0

  76. {49,31,28,14,33,41,5,35,6,39,48,6,11,13,45,1,12,46,37,41,1,2,49,46,8,5,41,41,31,32,43,11,43,11,43,36,29,6,28,10,23,11,50,24,37,37,20,21,13,5}

    {36,14,41,25,24,48,40,16,37,32,31,41,12,36,36,12,37,39,36,10,32,13,22,3,41,46,40,32,34,7,20,34,12,44,10,31,12,5,43,41,16,46,43,39,0,2,27,8,16,42}

    5

    Returns: 0

  77. {49,23,35,45,47,11,0,1,33,22,22,21,0,40,6,45,30,25,44,38,12,29,47,45,1,21,21,10,9,14,36,28,18,49,12,20,47,28,11,9,0,7,8,29,38,24,6,19,33,40}

    {33,27,19,3,39,1,44,9,37,14,36,39,0,46,30,37,14,29,26,36,46,13,27,47,39,5,29,38,11,18,18,22,2,25,8,48,17,4,27,13,34,11,44,43,4,24,20,49,11,28}

    48

    Returns: 764120109

  78. {45,26,26,34,15,46,46,6,4,19,18,13,25,16,9,31,11,41,31,22,44,49,5,15,44,42,17,44,47,15,35,48,3,4,14,25,47,13,26,36,40,22,23,4,32,6,26,9,18,21}

    {0,5,7,27,8,31,17,45,11,38,7,48,10,0,36,4,14,12,8,33,31,28,40,36,37,7,34,21,34,2,18,39,22,49,15,30,20,12,33,33,9,9,26,27,11,49,37,30,21,32}

    12

    Returns: 0

  79. {44,42,16,33,0,35,8,12,17,35,31,23,7,24,22,28,9,9,3,39,39,37,35,9,35,45,50,27,22,40,29,7,50,44,42,13,11,15,15,5,38,27,46,40,40,20,47,32,34,42}

    {42,16,22,25,46,13,38,30,47,35,47,1,27,20,24,8,19,31,3,3,21,45,15,41,1,35,22,37,16,34,1,15,20,48,10,29,33,25,21,5,8,49,0,10,42,44,45,16,32,8}

    42

    Returns: 0

  80. {34,27,43,27,45,0,17,12,27,17,44,42,26,21,4,12,11,25,17,22,41,36,33,21,39,40,33,49,3,48,42,8,6,28,35,11,19,28,3,19,27,1,36,5,28,1,46,15,7,24}

    {9,16,8,28,4,33,10,17,12,6,49,7,37,50,45,39,18,2,2,45,36,11,46,42,40,37,36,6,38,25,39,47,27,0,22,50,46,2,42,0,10,40,31,30,19,32,9,18,48,11}

    43

    Returns: 0

  81. {21,50,20,12,14,35,15,45,19,32,2,9,36,41,11,16,12,44,33,29,46,2,37,42,30,18,25,1,5,24,16,42,28,38,6,18,1,19,41,2,45,43,24,12,37,9,48,27,3,35}

    {49,38,16,44,32,33,19,3,5,16,4,0,42,17,11,10,18,50,19,17,38,18,25,10,48,20,31,5,49,12,0,2,24,26,42,46,17,45,27,48,47,5,32,38,7,15,2,41,35,3}

    42

    Returns: 0

  82. {39,41,47,47,41,2,18,17,8,34,25,27,50,42,45,50,22,40,6,36,45,36,18,9,50,28,26,38,19,21,50,37,14,48,5,49,27,3,30,38,12,4,18,7,0,26,26,7,28,2}

    {28,8,30,16,36,45,49,16,35,0,48,2,47,9,4,29,49,31,49,33,6,41,23,46,35,25,33,37,42,38,27,24,5,17,24,42,20,32,27,7,15,33,41,48,49,41,0,42,45,47}

    47

    Returns: 0

  83. {32,18,48,36,11,31,27,29,21,45,2,35,16,45,16,22,12,50,44,6,31,23,32,2,25,9,13,41,26,46,22,39,40,36,39,45,16,22,5,47,18,36,30,6,27,50,48,46,38,17}

    {28,6,34,30,19,21,15,39,27,29,20,25,2,35,26,26,0,48,36,16,3,13,36,16,27,29,29,1,34,18,38,43,26,16,33,3,4,24,21,13,28,26,10,24,23,42,28,42,46,19}

    4

    Returns: 0

  84. {20,22,43,18,7,2,49,31,13,19,10,49,46,11,49,49,6,25,33,2,4,8,22,42,21,28,32,18,2,41,30,26,8,38,24,43,41,44,35,16,39,24,35,40,32,45,35,23,47,9}

    {0,33,38,9,6,33,18,38,24,40,11,14,7,20,36,8,31,36,36,5,31,23,31,37,10,33,7,23,13,16,9,11,41,37,7,40,34,21,22,0,48,43,24,41,9,8,30,16,38,14}

    44

    Returns: 0

  85. {29,22,16,30,49,18,1,1,27,45,14,45,47,47,32,6,38,23,49,47,5,16,4,28,4,8,21,28,33,49,5,13,43,0,28,15,26,34,41,39,24,27,41,38,2,16,6,0,32,37}

    {13,36,48,32,23,44,1,45,23,47,14,45,29,5,28,46,38,11,5,23,45,30,42,22,22,24,45,6,11,7,13,35,1,48,48,7,36,30,45,21,50,17,11,14,32,50,48,32,4,41}

    36

    Returns: 0

  86. {49,35,6,30,9,15,44,2,46,3,44,24,31,24,9,11,9,3,2,23,40,29,26,42,45,39,50,3,24,3,39,27,7,16,50,16,44,19,47,22,32,46,42,15,31,50,45,5,40,35}

    {38,24,1,47,36,44,43,33,5,28,45,25,34,1,4,20,38,30,1,46,47,0,27,45,34,42,21,20,47,14,16,28,16,21,13,29,3,18,28,43,5,47,7,0,14,19,40,30,49,14}

    11

    Returns: 0

  87. {16,31,16,18,22,23,39,30,8,2,7,10,48,38,44,39,24,7,16,44,1,41,50,18,6,40,50,43,30,39,14,33,2,1,9,28,10,14,0,11,17,6,12,19,36,49,40,29,50,21}

    {26,31,38,8,8,11,9,36,18,50,17,8,42,38,38,29,38,11,42,6,49,3,30,12,16,44,40,17,48,5,30,31,8,43,3,8,40,20,32,37,43,30,18,47,34,25,14,3,42,45}

    49

    Returns: 723552581

  88. {18,22,21,45,32,30,2,14,45,4,50,37,47,5,1,5,30,5,16,20,41,1,11,29,49,2,30,26,18,30,45,2,6,38,33,13,17,14,12,47,9,5,32,31,46,49,5,47,5,45}

    {41,45,0,14,17,19,37,41,28,3,31,8,44,28,48,0,17,4,25,3,18,6,46,34,42,45,1,21,43,25,46,11,31,31,40,18,28,35,25,28,34,30,13,14,11,14,10,30,22,4}

    15

    Returns: 0

  89. {28,2,37,37,20,27,28,38,30,3,44,12,45,32,22,30,21,9,18,43,7,23,5,4,26,50,45,4,28,42,26,29,25,31,17,2,44,47,1,29,15,17,22,30,36,23,23,50,37,19}

    {10,44,35,23,36,39,16,6,20,27,26,40,21,36,28,0,43,19,12,7,5,9,37,14,38,30,19,24,18,18,10,39,35,0,3,22,22,27,37,3,27,21,30,38,32,15,37,36,45,47}

    38

    Returns: 0

  90. {44,12,28,31,11,19,50,27,36,32,18,24,40,3,32,9,21,29,38,41,24,44,18,23,2,37,45,7,16,49,27,13,48,8,25,35,31,19,1,32,7,9,47,49,11,5,38,32,0,19}

    {19,47,39,28,44,50,17,24,11,45,1,17,7,38,31,32,22,4,17,16,27,21,47,2,25,36,18,26,37,4,10,32,29,41,20,6,42,20,2,35,50,20,6,46,16,22,9,47,1,18}

    20

    Returns: 0

  91. {11,36,44,8,47,45,38,7,18,31,8,24,32,26,29,22,43,50,3,39,48,11,50,0,12,24,25,19,1,11,9,20,7,0,9,28,28,31,35,22,45,10,43,5,46,13,2,41,31,17}

    {15,30,44,20,23,47,14,3,4,19,34,44,32,44,33,18,7,22,1,15,16,3,42,32,16,26,49,9,41,35,41,46,31,42,3,4,38,23,29,8,11,46,5,19,2,27,50,17,31,25}

    16

    Returns: 0

  92. {19,46,36,45,3,32,36,7,32,7,9,5,37,39,12,44,3,2,17,29,2,31,46,50,27,40,1,14,30,15,18,47,44,50,21,13,1,50,0,30,3,16,38,10,4,49,45,7,46,21}

    {16,17,33,2,6,33,37,4,9,2,6,8,20,30,39,5,32,47,48,34,39,48,5,23,8,17,36,15,7,40,21,0,29,31,0,48,20,3,45,15,24,9,15,3,19,44,42,0,7,10}

    35

    Returns: 0

  93. {11,45,29,17,50,23,16,36,2,13,2,45,48,41,26,20,41,14,33,38,33,44,3,33,25,50,39,29,9,42,45,4,0,41,10,3,0,29,29,43,7,49,44,7,45,12,21,1,42,50}

    {49,35,17,33,42,37,8,32,42,35,20,7,14,11,48,48,15,16,27,24,37,24,5,23,43,40,27,1,5,18,47,0,14,39,20,11,42,5,9,7,13,7,12,7,15,20,45,39,22,18}

    25

    Returns: 0

  94. {34,10,22,16,21,16,23,17,39,1,14,15,0,25,6,20,20,46,23,8,23,23,31,34,42,19,14,18,6,8,42,3,24,32,28,7,13,5,5,47,29,42,50,8,42,28,21,33,10,13}

    {25,47,31,25,34,5,46,4,12,34,29,38,39,20,37,37,49,21,36,41,48,34,12,47,17,44,35,13,25,39,13,0,17,33,11,18,20,40,26,18,36,15,23,31,31,0,24,2,25,40}

    34

    Returns: 0

  95. {35,45,35,23,34,43,16,26,3,36,8,9,11,10,4,1,49,29,49,27,27,23,19,8,46,13,20,48,30,28,17,46,13,48,28,30,30,1,19,14,31,22,23,3,10,25,3,12,21,20}

    {35,35,23,21,18,45,42,16,33,12,14,25,25,10,12,5,37,15,49,0,21,31,7,12,22,37,12,8,18,8,23,16,15,26,10,14,50,9,3,20,39,28,35,15,42,15,17,44,39,20}

    36

    Returns: 0

  96. {16,29,1,5,38,30,39,16,1,35,14,35,14,47,1,22,37,17,45,29,48,22,38,27,44,49,5,31,20,46,46,30,0,36,7,27,37,49,46,8,46,45,41,40,32,8,8,27,24,49}

    {49,32,12,16,49,29,16,37,10,16,29,12,39,46,42,5,48,38,16,26,37,3,43,30,17,32,18,8,25,43,17,21,33,5,16,22,50,26,19,9,47,30,8,25,21,31,11,48,25,38}

    37

    Returns: 0

  97. {14,30,38,6,25,43,28,2,23,31,23,2,30,29,0,21,29,43,48,8,16,30,25,25,42,31,3,3,37,17,34,29,49,10,28,21,4,44,38,43,45,43,20,1,25,34,18,19,4,32}

    {14,42,20,48,11,21,36,12,31,9,1,38,0,11,46,31,29,29,22,48,14,2,15,43,10,13,23,43,33,49,30,33,35,38,34,15,38,4,26,15,41,13,24,33,13,50,12,15,46,20}

    4

    Returns: 0

  98. {0,49,31,21,5,19,46,33,14,18,17,36,26,6,18,36,5,22,26,20,32,2,47,22,5,26,10,1,4,34,37,41,32,3,33,21,5,29,11,42,11,10,39,50,5,23,32,21,36,23}

    {27,36,48,6,12,34,37,8,27,41,44,33,29,49,7,9,38,25,15,1,37,33,34,27,16,27,29,8,7,19,4,14,39,22,34,2,32,44,50,39,14,31,26,11,6,46,23,16,21,4}

    49

    Returns: 491616217

  99. {9,0,19,35,34,19,24,15,38,2,20,1,0,49,47,35,23,48,27,22,22,25,31,41,20,12,41,18,12,18,9,9,8,8,9,34,26,33,15,31,34,42,17,0,45,40,28,8,47,19}

    {31,34,33,7,42,11,6,23,38,32,8,3,4,41,5,43,0,14,17,38,16,49,23,5,14,38,15,46,30,48,49,3,18,22,0,18,22,25,33,11,16,0,5,36,3,18,44,14,19,3}

    25

    Returns: 0

  100. {30,33,15,33,48,6,29,45,3,31,14,1,42,31,7,2,35,38,38,26,19,44,38,10,40,10,37,24,3,24,16,30,2,37,25,6,17,3,14,3,40,24,49,48,49,3,24,41,7,3}

    {33,44,48,0,31,33,4,2,4,36,9,46,27,38,26,9,36,29,45,0,2,45,25,37,21,33,22,13,16,29,37,0,19,36,46,27,10,44,47,32,11,21,24,23,12,18,3,0,34,40}

    49

    Returns: 0

  101. {33,22,49,43,40,34,48,16,45,6,37,38,3,13,4,13,25,46,42,15,41,39,27,30,3,14,25,39,30,8,41,42,10,19,4,35,44,12,21,12,38,13,9,44,3,4,50,22,9,44}

    {31,32,41,15,16,26,26,22,37,26,29,46,47,0,0,43,19,38,30,23,43,23,19,10,19,38,1,29,46,48,25,12,42,37,48,43,12,34,23,36,2,13,9,8,43,24,48,8,1,48}

    42

    Returns: 0

  102. {35,14,22,33,12,24,14,23,4,29,28,1,5,20,1,49,22,43,24,14,15,37,10,1,41,46,40,25,7,12,20,43,45,35,4,8,20,7,19,29,38,1,34,38,28,23,5,48,3,47}

    {16,9,47,14,3,49,45,20,5,8,23,16,20,41,28,14,5,20,25,33,10,48,49,24,16,19,7,42,0,41,23,44,22,8,21,7,11,6,24,10,39,2,9,0,1,44,22,25,40,42}

    20

    Returns: 0

  103. {25,7,41,3,21,31,35,13,0,31,19,29,21,23,14,36,3,27,24,1,28,31,16,37,37,5,36,28,20,7,7,45,37,37,21,43,8,31,0,24,18,36,21,9,35,16,24,35,43,47}

    {35,49,39,0,33,7,27,15,48,41,39,25,0,11,4,8,31,35,30,1,2,11,22,13,47,0,44,50,16,9,37,21,19,43,5,39,10,15,46,34,48,10,41,15,43,10,22,17,0,17}

    7

    Returns: 0

  104. {7,8}

    {8,7}

    1

    Returns: 2

    This time there are two possible meeting points. For each of them there is a unique way in which the wolves can reach it.

  105. {0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8}

    {0,2,4,6,8,10,12,14,16,18,0,2,4,6,8,10,12,14,16,18,0,2,4,6,8,10,12,14,16,18,0,2,4,6,8,10,12,14,16,18,0,2,4,6,8,10,12,14,16,18}

    12

    Returns: 0

  106. {0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8}

    {0,2,4,6,8,10,12,14,16,18,0,2,4,6,8,10,12,14,16,18,0,2,4,6,8,10,12,14,16,18,0,2,4,6,8,10,12,14,16,18,0,2,4,6,8,10,12,14,16,18}

    31

    Returns: 573748580

  107. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 }

    {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18 }

    31

    Returns: 573748580

  108. {20, 30 }

    {20, 30 }

    50

    Returns: 138410702

  109. {0, 8, 42, 21, 20, 42, 11, 44, 4, 6, 17, 13, 16, 8, 26, 6, 24, 50, 4, 4, 42, 8, 1, 50, 21, 27, 22, 32, 40, 43, 11, 12, 50, 30, 22, 47, 8, 16, 29, 10, 32, 11, 20, 9, 21, 32, 33, 36, 38, 32 }

    {50, 22, 27, 0, 31, 42, 22, 11, 5, 26, 20, 45, 19, 9, 24, 13, 46, 7, 25, 37, 37, 23, 8, 39, 39, 11, 41, 32, 8, 45, 50, 48, 14, 49, 7, 9, 37, 27, 5, 14, 47, 42, 30, 45, 45, 11, 28, 14, 21, 35 }

    50

    Returns: 0

  110. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 }

    {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18 }

    50

    Returns: 161178936

  111. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

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

    50

    Returns: 358035358

  112. {5, 3 }

    {5, 3 }

    2

    Returns: 6

  113. {50, 48, 48, 46, 46 }

    {50, 50, 48, 48, 50 }

    50

    Returns: 196557771

  114. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 }

    {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18 }

    49

    Returns: 626353207

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.
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