Statistics

Problem Statement for "ErrantKnight"

Problem Statement

The game of Errant Knights is played on an infinite chessboard using two knights, white and black. The players alternate turns and the white player starts the game. Each player makes a normal chess knight's move with his knight, but there is a restriction that each move must make the Euclidean distance between the two knights smaller. A player can make more than one move in a single turn, but then each move must go in the same direction.

For example, if the black knight is at coordinates (0, 0) and the white knight is at (9, 5), then the white knight can move to (7, 4), (5, 3), (3, 2), (1, 1), (-1, 0). Further moving in this direction is not allowed because (-3, -1) is further from (0, 0) than (-1, 0). Of course, the white knight could also start his turn by moving in one of several other directions, and then possibly making more moves in that direction.

The game ends when one of the knights wins by capturing the other one (by moving to its position), or when it is impossible to make another move (because the knights are orthogonally next to each other and each move would increase the distance). In the second case, the player who should make the next move loses.

Several games of Errant Knight will be played. The starting position of the white knight in the i-th game is (x[i], y[i]). The black knight will start each game at (0, 0). Both players play optimally. Return a String where the i-th character is 'B' if the black knight wins the i-th game or 'W' if the white knight wins.

Definition

Class:
ErrantKnight
Method:
whoWins
Parameters:
int[], int[]
Returns:
String
Method signature:
String whoWins(int[] x, int[] y)
(be sure your method is public)

Notes

  • A chess knight can move in 8 directions. From (0, 0), a knight could move to (2, 1), (2, -1), (1, 2), (-1, 2), (1, -2), (-1, -2), (-2, 1), (-2, -1).

Constraints

  • x and y will contain between 1 and 50 elements, inclusive.
  • x and y will contain the same number of elements.
  • Each element of x will be between -4000 and 4000, inclusive.
  • Each element of y will be between -4000 and 4000, inclusive.
  • For each i, x[i] and y[i] cannot both be equal to 0.

Examples

  1. {1,1,2,2,9,3}

    {0,1,0,1,5,3}

    Returns: "BWWWWB"

    In the first game, there is no possible move for White from (1,0), so Black wins. In the second game, White moves from (1,1) to (0,-1). Black has no legal move from there, so White wins. In the third game, White moves from (2,0) to (0,1). Again, Black has no legal move, and White wins. In the fourth game, White moves from (2,1) to (0,0), and captures the Black knight. White wins. In the fifth game, White makes five moves from the same direction, moving from (9,5) to (-1,0). White wins. In the sixth game, White can make a sequence of moves which lead to one of the following squares: (2,1), (1,-1), (1,2), (-1,1), (4,1), (1,4). After each of these moves Black can win.

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

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

    Returns: "BWBBBBBWWWWWWWWWWWWWWWWBWWWWWWWBWWWWWWWBWWWWWWWWWB"

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

    {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: "BBBBBWBBWBBWBBBBBBWBBWBBBBBBWBBWBBWBBBBB"

    x and y can be negative. [Should this be in examples?]

  4. {-42,-2335,-3170,0,2963,1706,-3282,-1962,0,-828,-392,3903,0,-1422,3719,0,0,1870,-1668,0,-704,-3323,1674,3142,-254,-1548,-663,-38,-724,0,-317,0,0,0,3265,-3447,3891,0,-3007,-394,3630,0,2757,967,-1932,945,-627,0,0,-2930}

    {42,0,0,-3479,0,1706,3282,1962,-2996,0,0,3903,-293,0,-3719,-1448,2772,0,1668,-1036,704,-3323,0,-3142,0,0,-663,38,-724,3530,317,2191,289,-1041,0,-3447,3891,-371,-3007,0,-3630,85,0,0,0,-945,627,1538,119,-2930}

    Returns: "BBBBBWBBBBBBBWBBBBWBWBWWBBBWWBBBBWBBBBBBBBWBBBBBBW"

    random orthogonal or diagonal placements

  5. {833,639,2702,1976,3670,1021,-1079,2270,-1226,1097,3984,-2840,2353,3653,31,-653,-3061,1965,3104,-1995,3456,-250,2944,-3795,-3782,2422,-497,-3589,-3100,-1240,-2592,-379,1546,-408,-398,-1710,-2627,596,-655,-334,-3720,-3947,-1585,2900,-1875,-272,-3355,-2195,2309,2811}

    {3112,1655,-2071,-1694,2384,742,-930,1829,3572,-3490,1289,-1366,-3236,3573,51,-2850,1722,-570,2188,-664,286,-1618,-3092,-2243,-1414,-3057,1029,1165,-3413,-2345,2359,535,2483,41,-3653,2833,-981,-3982,3197,-3519,734,-2001,-65,-212,-3533,2892,2481,-1579,2617,-2487}

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

    completely random placements

  6. {4000,3999,3998,3997,3996,3995,3994,3993,3992,3991,3990,3989,3988,3987,3986,3985,3984,3983,3982,3981,3980,3979,3978,3977,3976,3975,3974,3973,3972,3971,3970,3969,3968,3967,3966,3965,3964,3963,3962,3961,3960,3959,3958,3957,3956,3955,3954,3953,3952,3951}

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

    Returns: "BWBBWBBWBBBBBWBBBBBWBBWBBWBBBBBWBBBBBWBBBBBWBBBBBW"

    large orthogonal case

  7. {4000,3999,3998,3997,3996,3995,3994,3993,3992,3991,3990,3989,3988,3987,3986,3985,3984,3983,3982,3981,3980,3979,3978,3977,3976,3975,3974,3973,3972,3971,3970,3969,3968,3967,3966,3965,3964,3963,3962,3961,3960,3959,3958,3957,3956,3955,3954,3953,3952,3951}

    {4000,3999,3998,3997,3996,3995,3994,3993,3992,3991,3990,3989,3988,3987,3986,3985,3984,3983,3982,3981,3980,3979,3978,3977,3976,3975,3974,3973,3972,3971,3970,3969,3968,3967,3966,3965,3964,3963,3962,3961,3960,3959,3958,3957,3956,3955,3954,3953,3952,3951}

    Returns: "WBWBBBWBWBBBWBWBWBWBWBBBWBWBWBWBWBBBWBWBWBWBWBBBWB"

    large diagonal case

  8. {-10}

    {0}

    Returns: "B"

    Note that x[i] and y[i] can be negative.

  9. {3000}

    {3000}

    Returns: "W"

  10. {4000,3999,3998,3997,3996,3995,3994,3993,3992,3991}

    {4000,3999,3998,3997,3996,3995,3994,3993,3992,3991}

    Returns: "WBWBBBWBWB"

  11. {1,-2,-1,1,-2,2,2,3,1,2,-3,1,0,0,3,3,2,-3,0,2,0,-3,3,-3,2,-2,2,3,-1,0,1,-3,-2,0,3,-1,3,-1,-3,-1,2,0,2,2,-2,1,1,-1,-2,-3}

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

    Returns: "WWWWWWWWWWWWBBWBWBWWBWBWWWWWWWWWWBWWWWWWWBWWWWWBWB"

  12. {-3,-3,2,-3,-1,-2,2,2,-1,1,3,-3,-1,-3,1,2,1,-3,2,1,1,-1,1,-1,2,2,-2,1,2,2,3,1,-1,-1,-2,2,-2,2,1,-1,1,-2,-3,2,1,-3,3,-3,1,3}

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

    Returns: "BBWBBWWWBBBBBBBWBBWBBBBBWWWBWWBBBBWWWWBBBWBWBBBBBB"

  13. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

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

    Returns: "BBBBBWBBBBBBBBBBBWBBWBWWWBBBWBBWWBBWBBBWBWBWBBBBWB"

  14. {-3,3,-1,3,-3,-2,-2,-2,-2,-1,-2,-3,-1,-3,2,2,-1,-1,-3,-3,-2,-1,-1,2,1,-1,2,1,-3,3,1,2,3,-1,1,2,3,-2,1,3,-2,-1,2,-1,-2,2,-3,1,2,-2}

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

    Returns: "BBWBBWWWWWWBWBWWWWBBWWWWWWWWBBWWBWWWBWWBWWWWWWBWWW"

  15. {1,1,3,2,3,2,0,1,0,2,2,-1,2,-2,0,0,0,-3,0,2,-3,1,0,-2,-3,0,0,2,2,2,-3,-3,-2,1,3,0,0,-3,0,2,0,2,0,-3,-2,3,2,3,-1,1}

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

    Returns: "WBWWBWWBWWWWWWWBWBWWBWBWBWBWWWBBWWBBBWBWBWBWWBWBWB"

  16. {-4,5,5,-9,-2,1,-1,-3,-10,3,-2,5,-1,5,0,-6,4,10,-5,1,6,8,7,0,-5,4,-1,1,-5,5,1,4,8,7,7,-9,-2,-9,7,7,4,-4,-3,5,6,4,0,8,-10,8}

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

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWBWWWWWWWBWBWWWWBWBBWBWBBWWW"

  17. {6,4,-6,-8,4,-2,3,-5,6,4,-8,7,10,3,5,-9,-1,-9,5,8,10,-9,7,10,-10,8,-9,-5,5,4,5,-3,-4,-3,-9,1,10,-2,-4,1,-10,7,2,7,5,6,5,3,5,10}

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

    Returns: "BBBBBWBBBBBBBBBWBWBBBWBBBBWBBBBBBBWBBWBBBBWBBBBBBB"

  18. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

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

    Returns: "BBBBBBWBBBBBBBBBWBWBBBBBBWWBBBBBBBBBWBBBBBBBWBBWBW"

  19. {-4,-5,-5,4,-6,-2,-8,-8,6,8,-1,-9,-3,-7,-5,9,10,2,7,2,2,5,-2,3,-6,-7,7,8,-6,6,-1,7,-5,-10,-10,-6,4,-2,-8,-10,-9,-8,9,9,-2,1,-3,-7,-5,-1}

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

    Returns: "BBBBWWWWWWWBBBBBWWBWWBWBWBBWWWWBBWWWBWWWBWBBWWBBBW"

  20. {-8,-10,-1,3,0,10,-2,5,0,5,5,8,1,7,1,0,0,0,4,-2,8,5,4,0,6,4,-6,8,-7,2,-7,6,7,6,5,-5,-5,-4,1,-5,10,-5,2,9,0,3,-10,-6,10,-8}

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

    Returns: "BWWBBBWBBWBWWBWBWBBWWWWBWBBWBWWWBWWBBWBBWWWWWBBBWB"

  21. {-17,20,-2,20,-29,-5,0,18,23,-24,-14,7,-1,-7,-21,21,22,10,-3,25,24,-26,11,7,8,7,-18,-24,21,-12,29,-4,-10,7,-20,-26,23,20,19,17,-8,-21,23,26,24,26,-1,11,-13,-19}

    {-20,3,-16,5,-2,-15,-2,-30,-12,-11,-23,-7,19,-13,-3,10,-24,-2,10,-7,12,-6,-4,5,-6,3,16,-5,-14,-25,10,13,-13,-17,20,-2,-29,-21,-16,0,8,9,-26,-23,-21,12,23,15,-26,26}

    Returns: "WWWWWWWWWWWBWWWWWWWWWWWWWWWWWWWWWWWWWWWBWWWWWWWWWW"

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

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

    Returns: "BBBBBBBBWBBBWWWBBBBWBWBBBBBBWBBBBBBBBBBBBBBBBBBWWW"

  23. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

    {-21,23,-6,-15,-5,-17,-5,3,-6,19,-24,11,-16,-8,-9,-8,1,-10,-7,-15,-4,8,-16,4,-21,-6,-15,-4,4,-23,7,-9,19,-16,-27,11,-27,-26,-14,-26,3,-8,21,16,-22,-4,6,9,-20,-23}

    Returns: "WBBWBBBBBBBBBBWBBBBWBBBBWBWBBBBWBBWBWBBBBBWBBBBWBB"

  24. {-11,-22,-8,-14,-12,-10,-13,3,3,13,1,5,-22,27,-18,-29,-2,-30,-10,-9,-27,20,-22,2,-23,-1,21,-26,-24,13,26,3,-13,-3,25,-24,-8,10,-13,27,-4,1,11,2,-22,-22,9,-10,-22,20}

    {-11,-22,-8,-14,-12,-10,-13,3,3,13,1,5,-22,27,-18,-29,-2,-30,-10,-9,-27,20,-22,2,-23,-1,21,-26,-24,13,26,3,-13,-3,25,-24,-8,10,-13,27,-4,1,11,2,-22,-22,9,-10,-22,20}

    Returns: "BWWWWWBBBBWBWBBBWBWBBWWWBWBWBBWBBBBBWWBBBWBWWWBWWW"

  25. {0,23,3,0,-6,7,20,15,11,7,7,-8,16,-19,1,0,-23,11,-8,17,14,0,-30,-6,15,4,-9,28,0,0,0,4,28,27,-17,-17,-3,0,0,-17,-13,0,-10,-22,-5,14,0,-23,12,-30}

    {29,0,3,15,6,0,-12,15,0,7,-22,-8,-19,-19,1,-30,0,0,-13,-1,14,-7,0,0,0,11,20,0,23,-28,20,-13,0,0,-17,-17,-12,-9,4,-1,20,3,1,0,-5,14,13,-23,0,2}

    Returns: "BBBWWBWBBBWWWBWBBBWWWBBBWWWBBBBWBWBBWWBWWBWBBWBBWW"

  26. {-71,17,-24,-84,-71,-50,-52,53,-78,-93,-35,88,-66,-9,37,23,-34,-81,-94,-85,-87,-99,-4,96,-20,-80,33,13,-57,-56,-7,-60,-45,-100,0,-13,-45,93,-16,27,-31,9,39,63,-3,57,56,96,-7,26}

    {93,24,-10,44,48,-5,67,74,-80,-70,20,67,-4,56,-25,-13,4,29,-63,85,18,-47,-82,11,-83,13,22,-6,-7,-95,29,-14,-28,13,87,60,-77,100,24,-1,90,30,17,64,22,93,-1,-30,-43,-25}

    Returns: "WWWWWWWWWWWWWWWWWWWBWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  27. {-86,-42,-62,-83,62,95,-65,21,41,23,53,98,79,-19,99,-76,-27,-36,-91,-100,-59,71,88,12,-95,-54,-28,-23,-72,-50,-29,-98,-77,29,-89,71,15,82,21,35,46,-72,53,76,-89,21,42,-69,61,-57}

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

    Returns: "BBBBBBBWBBBBBBWBWBBBBBBWBWBBWBBBBBBBWBWBBWBBBWBWBW"

  28. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

    {-72,-45,-58,99,-1,-42,-29,-61,-93,2,-41,32,-36,-68,3,-24,1,63,-3,-87,-69,-59,96,-11,-94,62,-14,-53,55,-13,17,88,-38,7,96,-98,-97,87,18,58,57,31,-75,64,41,-31,-16,12,98,37}

    Returns: "WWBWBBBBWWBBBBBBBWBWWBBBBBBBBBBBBBBBBWBBWBWBBBBWBB"

  29. {-37,21,-37,61,-43,97,-60,-44,13,-50,88,-56,13,73,36,88,39,-98,-18,-60,-61,12,-49,84,-61,-61,11,55,14,74,-97,9,21,93,-76,54,-74,-36,77,63,11,-47,54,18,76,20,1,-24,-64,87}

    {-37,21,-37,61,-43,97,-60,-44,13,-50,88,-56,13,73,36,88,39,-98,-18,-60,-61,12,-49,84,-61,-61,11,55,14,74,-97,9,21,93,-76,54,-74,-36,77,63,11,-47,54,18,76,20,1,-24,-64,87}

    Returns: "BBBBBBWWBWWWBBWWBWBWBWBWBBBBWWBBBBWBWWBBBBBBWWWBWB"

  30. {62,-90,28,0,-21,0,-45,76,0,48,1,8,80,-80,99,49,-12,-97,0,-7,99,0,0,0,19,0,-87,-70,29,0,-85,50,51,24,-5,54,-89,47,82,-38,-94,64,0,-8,96,0,-92,-82,65,0}

    {-37,-90,28,-63,-21,88,10,-41,41,48,0,0,0,-80,0,0,0,0,69,0,99,-81,50,73,71,10,-87,-70,29,-13,0,0,51,0,0,0,-89,47,82,-63,0,-7,-24,0,80,22,-92,-3,0,54}

    Returns: "WBWWBBWWBWBBBWWBWBWBBWBBWBBWBBBBBBBWBBWWBWBBWBWWBW"

  31. {-287,124,-78,-120,-115,178,-52,-4,-270,-77,-64,-257,-73,143,122,-205,290,-26,298,157,-162,-180,-266,-187,126,-214,213,186,212,114,82,-81,-152,31,158,-76,38,172,-275,139,6,-298,153,-167,-170,208,62,-45,-240,-73}

    {38,294,29,-140,192,-55,49,-249,107,243,145,-120,-123,205,-89,148,217,-47,54,226,187,-12,-64,93,-25,-297,30,-1,-199,211,-117,31,285,-284,157,8,-90,18,234,6,76,253,119,197,-110,61,-69,79,-132,187}

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  32. {-300,-198,125,67,-164,-180,-47,-190,92,-30,-197,-226,11,161,289,157,-290,-189,-72,-251,95,-14,-226,79,271,62,-163,-115,-98,-60,269,-218,112,-74,105,296,-199,-5,137,-44,24,29,-256,-61,-174,273,260,-291,221,-204}

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

    Returns: "BWBBBBBBBBBBBBBBBWWBBBBBBBBBBBBBBBWBBBBBBBBBBWBWBB"

  33. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

    {174,-100,-286,230,233,-13,-141,-39,246,-284,-294,-222,-97,-296,246,216,-55,-49,-234,-87,61,-50,-10,14,146,207,-73,-255,-182,199,-205,-288,-224,-122,269,85,-186,102,-206,123,95,122,2,-207,46,-242,-194,-299,264,65}

    Returns: "BBBBBBWWBBBBBBBBBBWWBBBBBWBWBBBBBBBBBBBWBBWWBBBBBB"

  34. {-159,-188,32,165,-243,-287,145,-258,168,-225,88,232,-242,-2,21,146,81,-145,91,-296,2,160,5,114,291,225,126,20,-150,-118,71,165,-92,105,-226,254,-76,216,-163,130,-273,289,11,-285,20,-182,-12,-162,159,4}

    {-159,-188,32,165,-243,-287,145,-258,168,-225,88,232,-242,-2,21,146,81,-145,91,-296,2,160,5,114,291,225,126,20,-150,-118,71,165,-92,105,-226,254,-76,216,-163,130,-273,289,11,-285,20,-182,-12,-162,159,4}

    Returns: "BWWBBBBBWBWWWWBWBBBWWWBBBBBWBWBBWBWWWWBWBBBBWWWBBB"

  35. {-183,-266,20,35,-102,0,82,261,-163,-103,261,0,-128,-211,0,154,-231,67,-220,0,-131,-70,-265,0,0,0,-19,24,1,-206,0,199,0,0,-282,216,252,192,-245,-175,101,263,0,-261,-156,-151,0,102,-213,284}

    {-183,-109,0,0,0,-80,0,0,0,-103,261,146,0,0,-238,-214,194,0,-220,25,24,-70,80,-176,258,-204,0,0,1,0,297,199,-280,-200,0,0,-89,0,0,-175,101,165,-242,0,0,0,-35,102,-213,284}

    Returns: "BWBBBBBWBBBBBBBWWBWBWWWBBBBBWBWBBBBBWBBBBWBWBBBBBW"

  36. {547,-156,-743,836,-380,313,401,-92,-877,880,-29,-243,-412,345,147,-145,747,-839,21,-62,-694,554,61,-774,821,-635,729,871,-670,-459,564,-724,687,-95,-323,200,-650,-221,709,-385,-412,643,763,-806,-192,231,421,-634,-503,858}

    {879,-102,-367,201,411,529,905,947,114,177,-600,629,938,-909,659,635,-418,51,799,-595,-529,-31,433,512,-254,24,300,38,508,477,-458,-219,-172,221,26,423,295,88,-949,-577,-873,96,-971,-25,-561,667,-657,-825,-723,192}

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  37. {677,712,158,-425,-688,-471,-806,-201,314,-508,-955,892,-808,-719,-896,-831,-721,-104,-278,141,834,-14,-457,-205,692,513,557,-517,531,850,-652,138,372,-73,87,-449,734,-854,-78,-1000,-191,-179,-588,-750,-370,-646,698,923,664,-359}

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

    Returns: "BBBBBWBWBBBBBBBWBBBWBBBBBWBBWBBBBBWBBBBBBBBBBBBBBB"

  38. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

    {40,-820,201,-787,-858,304,32,-705,-834,-799,-638,-918,578,886,-906,42,-936,-535,-545,-820,-175,218,268,384,-1,-970,866,62,976,-512,-430,-248,6,-608,-703,853,670,-396,985,104,257,549,-968,-360,831,-701,-663,-398,157,775}

    Returns: "BBWBBBBWBBBWBBBBBBBBBBBBBBBBBBBBBBBBBBBBBWBBWBWBBB"

  39. {942,563,650,131,-130,-312,-324,189,454,672,107,-792,-700,-432,828,-534,116,763,334,561,328,-799,-620,99,-214,-829,473,11,-701,-152,-439,-878,287,177,-631,641,-594,194,858,-642,910,264,493,432,-847,-825,53,-902,-677,338}

    {942,563,650,131,-130,-312,-324,189,454,672,107,-792,-700,-432,828,-534,116,763,334,561,328,-799,-620,99,-214,-829,473,11,-701,-152,-439,-878,287,177,-631,641,-594,194,858,-642,910,264,493,432,-847,-825,53,-902,-677,338}

    Returns: "BBWBWWBBWWBWWWBBWBWBWBWBWBBBBWBWBBBBBWBBWWBWBBBWBW"

  40. {-111,41,278,72,0,-642,917,222,-499,-166,-233,0,828,-52,296,-231,581,115,-732,0,733,-618,0,400,-865,31,-245,139,346,-384,0,-951,21,946,-524,459,174,547,947,-365,-597,785,0,-379,-152,0,-879,-488,0,-444}

    {-111,-871,749,72,-378,-642,700,222,0,-166,-233,-931,828,-52,0,0,329,0,0,-989,413,-618,28,0,264,-545,0,139,0,246,455,0,21,946,-524,0,174,547,0,0,-335,785,-929,-379,0,-817,-879,-371,-481,-444}

    Returns: "BWWWWBWBBWBBBWBWWBBBWBBBWWBBBWBWBWWWBBBBWBBBBBBWBW"

  41. {420,1168,-1877,-1961,1264,-135,1992,860,-1302,393,1654,-84,1187,510,-2,-1758,1289,-1630,-1678,-617,-1467,-1012,1386,-1927,-568,1345,-194,-250,-1284,1132,942,1285,-1944,-1574,-683,-1037,1911,-1563,-465,1602,1056,-1999,-258,-1677,1589,-1307,208,479,1697,1599}

    {1583,-1616,1677,712,-222,788,-1752,-543,-1630,1291,1927,244,1145,-18,922,-407,-1290,1440,892,198,216,888,1913,347,-1529,-606,-1168,-1796,-1230,248,-339,-147,-1741,237,-1006,182,19,-1174,-1528,-228,1731,1265,329,-1661,-427,1161,-710,-1476,1278,493}

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  42. {-1252,782,1604,-1765,1915,390,193,-1608,-569,-473,838,674,1098,843,1110,1308,482,-1096,1193,-578,-557,-1112,136,-1740,-1600,-1548,-1980,-1742,135,1231,-989,-1330,-1227,-1787,-163,-1741,-15,-389,163,-717,-1859,-1594,-156,289,794,-161,-1041,1860,1737,-1924}

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

    Returns: "BBBBBBBBBBBBWWBBBBBBBBBBBBBBWBBBWBBBWBBWBBBBBBWBWB"

  43. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

    {1686,-28,-301,-903,1836,1933,49,-1363,1428,437,-1636,-374,620,-1940,1629,-58,-1297,-566,175,1395,-1724,761,350,1942,-1307,872,61,-5,-863,868,-855,1364,-50,1791,81,-1732,-500,456,98,664,33,150,998,15,1693,-678,-1290,-962,1789,1984}

    Returns: "BBBWWBBBBBBBBBWBBBBWBBBBBBBBBBWBBWWBBBBBWBBWBBBBBB"

  44. {1785,1991,-537,-237,1774,1505,25,188,-35,1579,-1367,-1606,1764,-521,-381,-936,-792,819,937,1546,975,-621,1987,-1991,1215,-1069,-1653,1499,-1377,-367,1033,-33,-115,1841,393,-1975,-1546,-1747,1224,639,-372,-36,-271,-1694,-248,799,-132,287,1960,1064}

    {1785,1991,-537,-237,1774,1505,25,188,-35,1579,-1367,-1606,1764,-521,-381,-936,-792,819,937,1546,975,-621,1987,-1991,1215,-1069,-1653,1499,-1377,-367,1033,-33,-115,1841,393,-1975,-1546,-1747,1224,639,-372,-36,-271,-1694,-248,799,-132,287,1960,1064}

    Returns: "BBBBWBBWBBBWBBBWWBBWBBBBBBBBBBBBBBBBWBWBWWBWWBWBWW"

  45. {1434,0,1616,-222,-1149,-1109,0,0,739,635,1102,0,109,1555,0,0,0,0,1811,1472,1873,0,-22,0,0,-1208,917,0,0,-366,330,1616,0,789,615,0,925,-1293,0,0,-319,1628,-1244,0,-1853,1757,582,0,579,0}

    {-1537,-583,0,-1421,-1149,-1109,1430,-1039,920,0,-1368,-1439,0,0,-1033,597,-1947,-1006,0,-1792,604,-664,-552,-1772,-1619,-1208,0,92,1704,0,0,587,-1726,-150,-835,903,925,-1293,-1838,924,155,678,654,1483,-1853,1050,0,-1019,579,467}

    Returns: "WBBWBBBBWBWBBBBWWBBWWBWBBWBBBBBWBWWWBBBBWWWBBWBBBB"

  46. {-1504,-1318,1505,-3088,-1048,891,555,3091,722,3620,-1483,-2311,-2029,2867,3484,452,3880,-574,596,-1238,579,-1600,2928,-3450,3241,-534,-15,18,-1954,2755,640,2777,342,-3633,-3021,-459,2857,2909,1450,1114,-906,-1998,365,-1008,1920,1975,3815,-1062,-1593,-2417}

    {3727,3813,-2627,589,1329,1843,-1201,1009,3708,2761,-3859,2597,-1759,-3266,1849,-1717,-1774,3271,1538,2839,2105,-3005,2792,-1379,3733,-2329,-992,3823,2965,2346,2532,-1758,-3824,-1678,-3044,-2800,-3949,-884,3783,-1723,3168,-1872,-3843,-3028,-3180,360,-2413,-2112,-3931,2497}

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  47. {-2475,2689,-2094,-2996,1472,-3446,-2777,-547,-2162,1601,2400,2874,1509,-3183,514,724,1629,-3931,-3293,-3422,3197,-2421,-1426,-1044,1755,-1224,111,2237,-1447,2984,609,-503,3235,3610,3075,-2009,-3382,2414,-3562,2090,1699,2035,2148,761,-2609,1484,2905,-2902,-1916,-3334}

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

    Returns: "WBBBBBBBBBBBWWBBWBBBBWBBWBWBBBWBBBWBBBBBBBBBBBBBBB"

  48. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

    {-1229,3751,2056,1017,3221,2607,3067,341,-1866,-3105,24,-341,-2192,2383,-3906,188,-2066,3217,2965,1703,-303,-489,3268,-2062,-3118,3426,3588,2943,-1769,2251,612,-294,-3886,3924,1114,-666,-287,492,-2518,1589,-2588,325,3193,-1541,-2254,-3467,-2372,-2799,2145,-159}

    Returns: "BBBWBWBBBWBBBBWBBBBBWWBBBBBWBBBBBBBWBBBBBBBBBBBWWW"

  49. {2081,3858,2594,-3787,-3634,-2931,-1775,-3127,3217,3952,-1402,-567,-629,-3361,785,1039,-198,-2338,-3018,-2901,2708,20,2304,1627,-2453,-1071,-2259,2265,-2881,3788,2830,3783,-2582,-1649,-2789,275,-3451,-1504,756,-1649,2000,-2375,-2459,-1461,-3501,1131,-524,3873,-3624,-2055}

    {2081,3858,2594,-3787,-3634,-2931,-1775,-3127,3217,3952,-1402,-567,-629,-3361,785,1039,-198,-2338,-3018,-2901,2708,20,2304,1627,-2453,-1071,-2259,2265,-2881,3788,2830,3783,-2582,-1649,-2789,275,-3451,-1504,756,-1649,2000,-2375,-2459,-1461,-3501,1131,-524,3873,-3624,-2055}

    Returns: "BBWBWBBBBWWBBBBBBWBBWWWBBBBBBWWBWBBBBWBBWBBBBBWBWB"

  50. {-1709,0,0,2744,0,-1936,0,-1928,-1014,-22,-2681,0,0,3371,0,0,0,1072,-2595,2743,-2050,-404,2014,-370,-2580,-2546,0,-1418,765,0,0,-333,0,449,-1068,0,0,1336,0,0,1404,3019,-1756,1787,-2123,0,1944,3046,2502,3797}

    {989,3577,3747,0,-764,-1936,-3496,0,-1014,-2964,-2681,-406,-1153,-85,1279,1259,1864,2644,0,2743,-2050,-2836,0,-370,2612,-2546,370,0,3992,968,3160,-333,498,345,2320,-3806,-2549,3693,-1170,3144,-3670,3019,0,3773,-1065,2483,0,-2108,383,-806}

    Returns: "WBWBBWBBBWBBBWBBBWWBWWBWWWBBWBBBBWWBBWWBWBBWWBWWWW"

  51. {1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 7 }

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

    Returns: "BWBBBBBWWWWWWWWWWWWWWWWBWWWWWWWBWWWWWWWBWWWWWWWWWB"

  52. {1641, 1089, -1763, -3854, -350, -1333, -2412, -770, -162, 1015, -3700, 3294, 2930, -2443, -3531, 3698, -3902, -2028, -2384, -308, -2136, -3761, 2423, -1374, -3349, 2849, 3297, -3745, 1825, -438, -2369, -3468, -3866, 1067, 1623, 241, -3603, 1938, 2560, -2136, -673, -2747, -599, -3954, 4000, 3253, 3573, -2959, 3382, 0 }

    {1826, -3496, 1180, 3296, -2963, 3009, -3435, -404, -3162, -3321, -2022, -1319, -2067, 2279, -2517, -3917, -14, -1832, 1028, -1738, -3037, 478, -1177, -1961, -218, -108, -1260, 1063, 2165, -1601, -415, -302, 3563, 3398, -862, 695, -2983, -1461, -2184, -971, -150, 651, 850, 279, -953, 2157, -156, 3912, -4000, 336 }

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWB"

  53. {4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, -4000, -3999, -3998, -3997, -3996, -3995, -3994, -3993, -3992, -3991 }

    {4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, -4000, -3999, -3998, -3997, -3996, -3995, -3994, -3993, -3992, -3991 }

    Returns: "WBWBBBWBWBWBWBBBWBWB"

  54. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, -100, -9, -8, -7, -6, -5, -4, -3, -2, -1, 100, 1000, -100, -1000, 50, 1, 2, 3, 4, 5, 6, 7, 8, 976, 10, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 100, 1000, -100, -1000, 50 }

    {100, 1000, 999, 998, 997, 996, 950, -500, 300, 200, 100, 1000, 999, 998, 997, 996, 950, -500, 300, 200, 100, 1000, 499, 998, 997, 996, 150, -500, 300, 200, 100, 1000, 999, 998, 997, 996, 950, -500, 300, 200, 100, 1000, 999, 998, 997, 996, 950, -500, 300, 200 }

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  55. {2013, -237, 3036, 1467, 2065, -481, -3341, -3949, 1650, 2142, 2956, -2103, -2022, -909, -2393, -2009, -1853, 1438, -3128, 1892, 2958, 3813, 2410, -3972, -3941, 1082, 1097, 2368, 2222, 108, 1766, -655, 992, 3267, -1874, 1699, -320, 698, -3298, -2351, -3885, -329, 188, -1112, -605, 2632, 2422, -2045, 3337, -3291 }

    {2193, 1980, -2986, 1095, 2543, 2273, 3913, -914, 3505, -2708, -1558, -2236, 3642, -2633, -896, 464, -3935, 2223, 3623, -1469, -1915, -2789, 1028, -675, -1586, 80, -3254, 1209, -253, 1343, -1408, 1452, 3197, 1294, 1050, -3273, -2663, -3210, -1914, -3166, 1139, 3513, -1934, 1845, 2515, 2325, -1815, -3999, 3960, -3203 }

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  56. {-4000 }

    {-4000 }

    Returns: "W"

  57. {-4000, -4000, -4000, -4000, -4000, -3999, -3999, -3999, -3999, -3999, -3998, -3998, -3998, -3998, -3998, -3997, -3997, -3997, -3997, -3997, -3996, -3996, -3996, -3996, -3996 }

    {-4000, -3999, -3998, -3997, -3996, -4000, -3999, -3998, -3997, -3996, -4000, -3999, -3998, -3997, -3996, -4000, -3999, -3998, -3997, -3996, -4000, -3999, -3998, -3997, -3996 }

    Returns: "WWWWWWBWWWWWWWWWWWBWWWWWB"

  58. {4000, -4000, 3999, -3999, 3998, -3998, 3997, 2717, 3997, -3997, 1763, -3996, 2938, -3995, 2759, -3994, 3993, -3993, 3992, -3992, 3813, -3991, 1483, -3990, 3898, -3989, 3988, -3988, 3987, -3987, 3986, 1829, 791, 1781, 3986, 1158, 3986, 3227, 3986, -3986, 1098, -3985, 3984, 2601, 3984, -3984, 3983, -3983, 3982, -3982 }

    {4000, -4000, 3999, -3999, 3998, 3622, 3998, -3998, 3997, 639, 1474, -3997, 3996, -3996, 3995, -3995, 3994, 3912, 331, -3994, 3993, 1428, 3703, 3102, 3993, -3993, 3992, 1012, 3992, -3992, 3991, 386, 3338, 2318, 962, 2288, 3991, 3367, 3991, -3991, 3347, 889, 3990, 415, 1143, -3990, 3989, 550, 3989, 234 }

    Returns: "WWBBWWWWBWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  59. {4000 }

    {3987 }

    Returns: "W"

  60. {-481, -41, 44, 324, 203, 127, -313, 166, -130, 113, -93, -335, -272, -216, 223, 182, -369, 220, -476, -198, 116, -445, 136, -409, -39, -313, -247, 134, -314, -335, -85, -295, 124, -188, -119, 179, 439, 69, -155, 161, -318, -396, -322, -90, -111, 402, -56, 372, 122, -32 }

    {-326, 90, 376, -337, -467, 189, -150, -214, -177, 388, -49, -409, -406, -73, -97, 327, -393, 194, -104, -48, -145, 430, 57, 33, 192, -202, 287, -363, -330, 261, 457, 196, -149, 333, 359, 237, 22, 61, -477, -302, -50, 327, -211, 396, -246, -456, 223, 213, -410, -28 }

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  61. {-4000, 3999, -3998, 3997, -3996, 3995, -3994, 3993, -3992, 3991, -3990, 3989, -3988, 3987, -3986, 3985, -3984, 3983, -3982, 3981, -3980, 3979, -3978, 3977, -3976, 3975, -3974, 3973, -3972, 3971, -3970, 3969, -3968, 3967, -3966, 3965, -3964, 3963, -3962, 3961, -3960, 3959, -3958, 3957, -3956, 3955, -3954, 3953, -3952, 3951 }

    {4000, -3999, 3998, -3997, 3996, -3995, 3994, -3993, 3992, -3991, 3990, -3989, 3988, -3987, 3986, -3985, 3984, -3983, 3982, -3981, 3980, -3979, 3978, -3977, 3976, -3975, 3974, -3973, 3972, -3971, 3970, -3969, 3968, -3967, 3966, -3965, 3964, -3963, 3962, -3961, 3960, -3959, 3958, -3957, 3956, -3955, 3954, -3953, 3952, -3951 }

    Returns: "WBWBBBWBWBBBWBWBWBWBWBBBWBWBWBWBWBBBWBWBWBWBWBBBWB"

  62. {3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999 }

    {4000, -4000, 3999, -3999, 3998, -3998, 3997, -3997, 3996, -3996, 4000, -4000, 3999, -3999, 3998, -3998, 3997, -3997, 3996, -3996, 4000, -4000, 3999, -3999, 3998, -3998, 3997, -3997, 3996, -3996, 4000, -4000, 3999, -3999, 3998, -3998, 3997, -3997, 3996, -3996, 4000, -4000, 3999, -3999, 3998, -3998, 3997, -3997, 3996, -3996 }

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWBWW"

  63. {-961, 2443, 528, 1117, 1607, -3574, -2208, 1704, 865, 3975, 3611, -3880, -3933, 3638, -943, 3281, -1576, -8, 460, -1712, 3918, 1307, -3527, -2015, -2784, 2149, -2289, 3138, -1451, -627, -731, 2343, -1430, -3450, 213, -3824, -3024, 2759, 1880, 2596, 2734, 2245, 2716, 2801, 1882, -1474, 2835, -2941, 2519, 48 }

    {1923, 3884, -3937, 1448, -801, 707, -1262, 1099, -3456, -3299, 281, -3130, 540, -2590, -802, -1574, 2694, -3616, 3538, 2916, 2355, 2091, -1889, -518, -3998, -1365, 1483, 182, -3578, -683, -849, 3099, -800, -786, 1301, 3153, -3326, -3962, 1005, -2782, -2506, -2715, -1912, 2034, -1305, 2040, -3540, -1858, 3178, 3998 }

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  64. {4000, 3900, 1234, -2535, -432, -10 }

    {-4000, 15, -2398, -3282, 15, 0 }

    Returns: "WWWWWB"

  65. {4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, 4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 123, 456, 789, 101, 123, 413, 41, 125, 421, 123 }

    {4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, -4000, 4000, -4000, 4000, -4000, 4000, -4000, 4000, -4000, 4000, -1234, -1424, 1234, -2141, 561, -142, 144, -1423, 123, -413, 12, 34, 56, 78, 90, -12, -34, -56, -78, -90, 143, 145, -143, 401, 1043, -14, -1234, 51, 412, 1000 }

    Returns: "WBWBBBWBWBWWWWWWWWWWWWWWWWWWWWWBBBWWBBBWWWWWWWWWWW"

  66. {2511, 2729, -2444, -3402, 2740, -3496, -147, -549, 2340, 3320, 1603, -3420, -3165, -1528, -98, 1735, 3892, 3657, 1128, 3457, -327, 2403, -2380, 114, -544, -3966, -2030, -1725, 2936, 3119, 1604, -843, -2677, 3211, 1081, 2910, 1499, 2427, 283, -3989, 1879, 1740, 1674, -431, 3235, -494, 3728, 2792, 1696, -2700 }

    {1384, -3600, -2488, -2744, -64, -2301, -683, -1220, 3465, -2578, -2837, 2359, 3055, 1481, -2055, 996, 1734, 3769, 1559, -1163, -3330, 1692, 3069, 159, 3962, -611, -1791, -3243, -3153, -541, -2077, 1310, 1920, -1631, -241, -466, 185, 3139, 2241, -3308, -903, 1411, 2349, 408, 472, 797, 1312, 1472, -60, 3726 }

    Returns: "WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW"

  67. {0, 0, 0, 0, 0, 0 }

    {9, 10, 11, 9, 12, 13 }

    Returns: "WBBWWB"

  68. {3831 }

    {3831 }

    Returns: "B"

  69. {3899, 4000, 3689, 3895, -3699, -3915, -2989, 3556, 3686, -2986, 3861 }

    {4000, -2369, 3698, 3945, -3959, 4000, 4000, -2369, 3698, 3945, -3959 }

    Returns: "WWWWWWWWWWW"

  70. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }

    {50, 51, 52, 53, 54, 55, 56, 57, 4000, 3999 }

    Returns: "BWBBWBBWBW"

  71. {1, -10, -100, 1, 324, -123, -45, 123, 0, 0, 0, 0, 132, 123, -123, -314, -123, 12, 213, -321, 123, 1, -123, 0, 455, 67, 789, 25, -45, 42, 1234, -123, 423, -536, -123, 24, 213, 41, -123, 132, -14, 142, -14, -124, 14, 142, 536, 234, -345, 456 }

    {123, -45, 0, 0, 345, 34, 234, -100, -123, -4000, 4000, 134, 536, -467, -234, 456, -13, -123, -453, 2345, -123, 143, 4000, -432, 435, 123, 42, 135, 123, 123, 435, 123, 453, 132, -123, -132, 24, -52, 231, -34, 1324, -213, 234, 123, 234, 123, -1000, -231, -4000, 4000 }

    Returns: "WWBBWWWWWBBBWWWWWWWWBWWWWWWWWWWBWWBWWWWWWWWWWWWWWW"

  72. {4000, 3999 }

    {4000, 3999 }

    Returns: "WB"

  73. {4000, 4000, 399, 1000, 1001, 1002, 234, 234, 12, 321, 32, 234, 25, 234, 43, 234, 54, 23, 123, 543, 213, 234, 45, 23, 24, 4, 56, 34, 23, 24 }

    {-4000, 4000, 399, 0, 0, 0, 546, 456, 3, 23, 4, 345, 34, 23, 23, 34, 45, 45, 4, 23, 2, 24, 34, 34, 453, 34, 53, 4, 45, 45 }

    Returns: "WWBBBBWWWWWWWWWWWWWWWWWWWWWWWW"

  74. {9, 0 }

    {0, 9 }

    Returns: "WW"

  75. {4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, 3990, 3989, 3988, 3987, 3986, 3985, 3984, 3983, 3982, 3981, 3980, 3979, 3978, 3977, 3976, -4000, -3999, -3998, -3997, -3996, -3995, -3994, -3993, -3992, -3991, -3990, -3989, -3988, -3987, -3986, -3985, -3984, -3983, -3982, -3981, -3980, -3979, -3978, -3977, -3976 }

    {4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, 3990, 3989, 3988, 3987, 3986, 3985, 3984, 3983, 3982, 3981, 3980, 3979, 3978, 3977, 3976, -4000, -3999, -3998, -3997, -3996, -3995, -3994, -3993, -3992, -3991, -3990, -3989, -3988, -3987, -3986, -3985, -3984, -3983, -3982, -3981, -3980, -3979, -3978, -3977, -3976 }

    Returns: "WBWBBBWBWBBBWBWBWBWBWBBBWWBWBBBWBWBBBWBWBWBWBWBBBW"

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