Statistics

Problem Statement for "ColoringEdgesDiv1"

Problem Statement

A simple graph is an undirected graph in which each edge connects two different vertices and each pair of vertices is connected by at most one edge. In other words, there are no self-loops and no multiple edges. A 3-regular graph is a simple graph such that the degree of each vertex is 3.


You are given a 3-regular (simple) graph. Given such a graph, you want to color the edges as either 0 or 1 such that the graph does not contain a cycle that consists of edges of the same color.


You are given an int n (the number of nodes), and two int[]'s x and y that describe a 3-regular graph. For each i between 0 and n-1 (inclusive), (x[i], y[i]) describe an edge in this graph.


You must return an array of integers (int[]) of length exactly (n*3)/2 where each element is either 0 or 1. The i-th element in your answer describes the color of the edge (x[i], y[i]). If there exist multiple ways to color the edges such that the colored graph does not contain a cycle consisting of edges of the same color, you may return any one of them.

Definition

Class:
ColoringEdgesDiv1
Method:
findColoring
Parameters:
int, int[], int[]
Returns:
int[]
Method signature:
int[] findColoring(int n, int[] x, int[] y)
(be sure your method is public)

Notes

  • There is always a way to color the edges using two colors such that no cycle of the same color exists.

Constraints

  • n will be an even integer between 4 and 1,000, inclusive.
  • x will contain exactly (n*3)/2 elements.
  • y will contain exactly (n*3)/2 elements.
  • Each element of x will be between 0 and n-1, inclusive.
  • Each element of y will be between 0 and n-1, inclusive.
  • x[i] ≠ y[i] will hold for all i between 0 and n-1, inclusive.
  • (x[i], y[i]) ≠ (x[j], y[j]) will hold for all i,j with 0 ≤ i < j ≤ n-1.
  • Edges will be distinct.
  • Each vertex will have degree 3.

Examples

  1. 6

    {2, 0, 3, 1, 1, 0, 0, 2, 4}

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

    Returns: {0, 1, 0, 1, 0, 1, 0, 0, 1 }

  2. 6

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

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

    Returns: {0, 0, 0, 1, 1, 1, 0, 1, 0 }

  3. 8

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

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

    Returns: {0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1 }

  4. 6

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

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

    Returns: {1, 0, 1, 0, 1, 0, 1, 0, 1 }

  5. 4

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

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

    Returns: {0, 1, 0, 1, 0, 1 }

  6. 50

    {31, 32, 40, 33, 45, 12, 11, 30, 8, 45, 43, 34, 22, 43, 5, 49, 26, 9, 9, 29, 4, 11, 46, 5, 16, 3, 37, 41, 16, 11, 13, 13, 6, 44, 33, 10, 49, 39, 4, 17, 35, 43, 23, 36, 28, 21, 21, 13, 42, 1, 30, 25, 0, 29, 31, 15, 14, 17, 14, 37, 41, 4, 18, 27, 19, 38, 0, 48, 47, 29, 15, 48, 20, 7, 2}

    {6, 18, 49, 26, 37, 8, 39, 32, 34, 22, 5, 21, 9, 47, 18, 47, 42, 33, 31, 48, 12, 8, 16, 1, 7, 34, 26, 36, 19, 40, 19, 3, 32, 23, 24, 35, 12, 28, 6, 24, 44, 23, 46, 14, 10, 15, 40, 1, 45, 39, 28, 24, 3, 25, 30, 44, 42, 27, 22, 0, 27, 41, 46, 25, 35, 36, 10, 17, 38, 2, 2, 20, 38, 20, 7}

    Returns: {0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0 }

  7. 28

    {4, 2, 26, 16, 9, 26, 23, 17, 3, 16, 6, 26, 20, 10, 0, 11, 25, 23, 19, 0, 27, 22, 20, 27, 15, 15, 1, 15, 21, 8, 5, 14, 11, 18, 21, 24, 3, 19, 7, 12, 7, 14}

    {17, 13, 6, 22, 10, 16, 17, 24, 24, 6, 2, 12, 2, 25, 20, 8, 9, 4, 0, 8, 22, 3, 7, 11, 12, 1, 23, 27, 4, 25, 18, 10, 13, 13, 5, 19, 9, 1, 21, 14, 18, 5}

    Returns: {1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0 }

  8. 68

    {5, 23, 44, 53, 25, 42, 3, 19, 25, 6, 31, 9, 12, 35, 62, 38, 31, 10, 39, 25, 6, 24, 50, 17, 14, 24, 28, 57, 45, 41, 1, 59, 13, 20, 47, 2, 7, 49, 4, 42, 42, 57, 46, 61, 52, 46, 67, 46, 30, 12, 48, 51, 21, 55, 56, 35, 63, 4, 14, 36, 63, 43, 67, 8, 37, 39, 16, 5, 33, 65, 21, 4, 1, 44, 7, 38, 32, 52, 16, 22, 63, 62, 28, 58, 17, 9, 8, 36, 27, 0, 11, 36, 49, 2, 51, 2, 49, 6, 26, 0, 27, 18}

    {3, 20, 43, 23, 29, 56, 58, 66, 28, 65, 64, 29, 47, 20, 54, 61, 45, 3, 58, 11, 55, 38, 31, 26, 48, 50, 66, 13, 15, 35, 60, 37, 15, 43, 53, 12, 44, 18, 57, 64, 9, 56, 24, 14, 5, 39, 13, 45, 53, 62, 22, 23, 64, 7, 16, 10, 61, 33, 29, 19, 30, 66, 60, 33, 15, 55, 37, 47, 40, 0, 34, 65, 41, 22, 50, 52, 40, 8, 54, 54, 67, 60, 41, 40, 19, 59, 10, 11, 48, 18, 32, 34, 17, 32, 1, 30, 34, 27, 21, 51, 59, 26}

    Returns: {0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1 }

  9. 66

    {54, 2, 45, 2, 19, 6, 19, 34, 7, 54, 56, 1, 8, 33, 56, 3, 62, 3, 43, 11, 61, 6, 50, 8, 17, 44, 1, 65, 48, 10, 25, 30, 28, 11, 38, 46, 26, 44, 64, 9, 38, 30, 23, 16, 16, 20, 55, 51, 12, 4, 2, 40, 30, 10, 34, 46, 28, 36, 64, 28, 18, 55, 5, 64, 15, 48, 60, 5, 31, 13, 18, 59, 49, 12, 35, 35, 31, 15, 26, 31, 49, 41, 9, 42, 27, 59, 9, 0, 4, 47, 14, 0, 14, 34, 10, 25, 58, 13, 29}

    {57, 21, 4, 37, 18, 19, 7, 52, 8, 63, 45, 3, 51, 52, 22, 37, 22, 57, 20, 65, 46, 1, 61, 41, 11, 45, 38, 27, 35, 57, 61, 36, 7, 62, 63, 44, 47, 37, 43, 17, 51, 56, 33, 65, 60, 42, 25, 55, 6, 52, 63, 42, 21, 14, 54, 62, 16, 39, 17, 32, 23, 50, 36, 53, 59, 21, 39, 20, 39, 60, 41, 22, 33, 49, 23, 47, 5, 50, 53, 15, 26, 40, 40, 53, 32, 43, 48, 29, 24, 58, 24, 58, 12, 32, 29, 0, 27, 24, 13}

    Returns: {0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0 }

  10. 118

    {37, 103, 85, 73, 10, 44, 89, 94, 67, 67, 70, 46, 40, 101, 40, 70, 77, 43, 24, 4, 117, 8, 26, 76, 12, 27, 47, 40, 33, 112, 61, 78, 43, 72, 108, 55, 34, 106, 72, 72, 5, 112, 47, 86, 4, 9, 69, 47, 19, 67, 69, 113, 62, 39, 107, 57, 34, 71, 52, 102, 113, 7, 91, 65, 41, 98, 115, 102, 99, 107, 113, 61, 87, 81, 57, 35, 73, 13, 98, 61, 10, 92, 65, 19, 58, 46, 89, 19, 83, 84, 103, 68, 115, 115, 53, 84, 81, 100, 10, 95, 110, 86, 41, 41, 30, 24, 93, 0, 35, 29, 97, 23, 97, 95, 8, 23, 50, 75, 17, 95, 75, 58, 60, 116, 14, 96, 20, 16, 56, 99, 80, 30, 42, 88, 2, 89, 111, 3, 109, 80, 59, 63, 54, 31, 85, 108, 108, 21, 63, 23, 18, 38, 20, 45, 4, 32, 20, 101, 54, 3, 82, 63, 33, 51, 64, 73, 64, 66, 105, 28, 36, 18, 11, 21, 6, 0, 66}

    {1, 2, 71, 1, 15, 22, 53, 114, 74, 112, 57, 70, 15, 90, 77, 42, 12, 90, 109, 77, 11, 7, 59, 32, 106, 1, 90, 6, 102, 26, 29, 62, 37, 14, 55, 81, 14, 111, 74, 51, 33, 104, 25, 53, 93, 94, 80, 78, 9, 94, 39, 92, 52, 31, 43, 68, 106, 12, 91, 49, 49, 117, 83, 69, 74, 92, 97, 51, 39, 96, 85, 86, 34, 49, 88, 22, 65, 78, 27, 15, 76, 27, 60, 42, 46, 100, 13, 22, 88, 24, 5, 50, 5, 93, 30, 98, 111, 6, 87, 26, 52, 116, 75, 114, 87, 35, 8, 21, 55, 64, 11, 104, 9, 62, 114, 109, 91, 105, 82, 16, 7, 84, 117, 82, 16, 50, 45, 103, 17, 37, 71, 25, 99, 32, 83, 116, 17, 2, 110, 48, 60, 54, 44, 29, 45, 68, 96, 100, 13, 31, 59, 58, 56, 0, 76, 3, 28, 66, 110, 101, 25, 79, 104, 36, 105, 44, 107, 38, 56, 79, 28, 48, 38, 48, 18, 36, 79}

    Returns: {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0 }

  11. 842

    {30, 741, 167, 559, 284, 548, 509, 699, 745, 575, 787, 733, 182, 720, 205, 527, 246, 272, 295, 331, 771, 102, 706, 292, 97, 22, 201, 579, 656, 641, 4, 516, 42, 553, 512, 132, 816, 743, 828, 403, 349, 596, 750, 65, 367, 416, 411, 149, 638, 335, 785, 59, 115, 834, 142, 157, 13, 281, 822, 811, 391, 584, 344, 235, 28, 681, 801, 23, 72, 832, 563, 823, 559, 573, 720, 440, 749, 398, 841, 316, 319, 796, 79, 55, 133, 544, 104, 468, 686, 611, 186, 797, 541, 336, 160, 443, 531, 443, 8, 377, 133, 658, 503, 476, 384, 424, 108, 642, 727, 761, 319, 122, 673, 531, 591, 442, 383, 678, 194, 272, 783, 392, 835, 620, 577, 636, 704, 624, 537, 335, 521, 307, 501, 722, 548, 491, 770, 643, 496, 272, 502, 541, 574, 378, 281, 382, 781, 439, 226, 835, 38, 105, 457, 263, 577, 675, 802, 580, 604, 840, 67, 115, 450, 197, 200, 650, 231, 509, 630, 230, 834, 676, 533, 655, 39, 261, 171, 13, 381, 529, 831, 634, 518, 633, 755, 803, 812, 715, 564, 648, 793, 520, 561, 76, 625, 354, 489, 649, 811, 258, 115, 78, 262, 806, 215, 402, 552, 691, 796, 208, 660, 756, 299, 250, 606, 91, 801, 417, 270, 695, 827, 595, 764, 510, 413, 400, 731, 5, 498, 525, 406, 754, 378, 489, 212, 269, 566, 431, 581, 665, 286, 85, 726, 28, 311, 573, 230, 526, 650, 141, 385, 705, 8, 799, 744, 148, 745, 726, 240, 499, 89, 354, 643, 245, 825, 137, 576, 157, 730, 661, 553, 37, 730, 44, 647, 100, 378, 172, 105, 275, 259, 804, 230, 162, 185, 421, 780, 451, 100, 643, 318, 104, 55, 751, 35, 35, 304, 319, 562, 830, 268, 828, 630, 370, 51, 640, 370, 412, 291, 322, 688, 437, 655, 833, 461, 184, 388, 26, 593, 233, 268, 224, 799, 679, 523, 649, 567, 693, 391, 267, 238, 539, 62, 25, 470, 597, 203, 814, 407, 222, 243, 574, 40, 343, 808, 421, 27, 170, 497, 371, 436, 495, 822, 583, 454, 763, 119, 265, 419, 433, 128, 698, 256, 808, 255, 448, 792, 608, 741, 281, 769, 116, 550, 596, 360, 178, 568, 795, 546, 450, 15, 243, 456, 110, 365, 325, 330, 375, 355, 383, 595, 267, 366, 73, 716, 351, 306, 204, 517, 442, 365, 218, 773, 449, 427, 598, 170, 340, 91, 479, 396, 670, 207, 785, 261, 345, 199, 824, 106, 767, 135, 167, 132, 681, 534, 477, 424, 715, 570, 709, 631, 353, 366, 757, 500, 702, 276, 364, 796, 393, 372, 304, 96, 782, 53, 473, 149, 92, 808, 768, 775, 511, 184, 487, 549, 190, 38, 4, 595, 109, 290, 402, 379, 391, 670, 372, 29, 487, 314, 630, 824, 299, 430, 267, 432, 73, 298, 324, 61, 215, 456, 745, 47, 446, 36, 419, 36, 349, 705, 457, 376, 541, 99, 840, 543, 800, 130, 166, 697, 543, 100, 669, 289, 68, 711, 491, 707, 135, 511, 558, 839, 198, 791, 24, 439, 131, 81, 827, 758, 395, 29, 190, 585, 94, 537, 734, 269, 528, 380, 69, 802, 457, 180, 752, 34, 677, 326, 613, 590, 584, 54, 326, 323, 557, 738, 780, 806, 112, 516, 385, 285, 644, 79, 452, 66, 426, 172, 354, 733, 303, 571, 314, 334, 635, 588, 416, 799, 318, 323, 622, 352, 284, 197, 789, 535, 738, 85, 707, 27, 420, 414, 572, 236, 77, 66, 555, 752, 436, 770, 423, 247, 741, 699, 128, 797, 583, 216, 702, 169, 809, 339, 164, 702, 157, 301, 723, 379, 223, 786, 312, 772, 693, 619, 332, 619, 627, 782, 373, 93, 36, 638, 460, 425, 209, 249, 663, 815, 430, 646, 210, 440, 524, 43, 149, 302, 617, 327, 555, 703, 445, 500, 641, 390, 831, 382, 657, 752, 19, 270, 428, 225, 99, 293, 365, 336, 333, 748, 458, 487, 519, 6, 243, 316, 592, 677, 219, 476, 266, 651, 778, 212, 823, 633, 307, 833, 704, 445, 747, 586, 784, 723, 525, 478, 184, 229, 545, 736, 789, 220, 431, 825, 568, 376, 200, 150, 535, 429, 603, 698, 649, 359, 513, 820, 30, 237, 807, 49, 462, 38, 394, 320, 504, 249, 712, 486, 828, 501, 246, 331, 131, 696, 574, 41, 434, 238, 839, 687, 98, 433, 674, 291, 783, 96, 322, 730, 296, 676, 254, 474, 813, 286, 265, 776, 590, 275, 347, 462, 69, 95, 324, 363, 485, 817, 580, 345, 322, 498, 54, 786, 41, 137, 490, 524, 673, 687, 703, 187, 154, 644, 387, 794, 706, 602, 763, 620, 626, 48, 188, 111, 736, 42, 125, 257, 653, 163, 279, 549, 467, 569, 88, 412, 139, 453, 836, 829, 387, 423, 401, 111, 550, 600, 110, 401, 63, 92, 572, 245, 425, 776, 628, 90, 600, 429, 585, 441, 513, 615, 587, 790, 160, 252, 350, 458, 755, 176, 181, 592, 397, 670, 210, 666, 628, 772, 44, 231, 625, 406, 405, 534, 606, 662, 351, 617, 151, 361, 78, 481, 208, 711, 612, 821, 301, 719, 404, 14, 561, 679, 525, 348, 813, 139, 368, 118, 458, 268, 60, 126, 295, 305, 148, 287, 68, 465, 831, 359, 310, 664, 146, 774, 410, 306, 841, 244, 358, 795, 826, 652, 143, 222, 597, 415, 601, 56, 119, 615, 56, 470, 68, 20, 138, 57, 186, 737, 762, 2, 21, 101, 374, 700, 118, 295, 213, 283, 153, 278, 533, 662, 296, 708, 448, 145, 522, 176, 599, 447, 482, 397, 20, 71, 638, 788, 418, 363, 388, 202, 773, 197, 313, 683, 753, 575, 582, 694, 221, 445, 477, 279, 623, 720, 101, 529, 409, 162, 19, 161, 835, 341, 594, 17, 99, 406, 404, 495, 470, 466, 736, 590, 524, 71, 743, 9, 82, 639, 150, 97, 728, 683, 818, 556, 50, 725, 258, 480, 392, 618, 721, 325, 397, 677, 477, 822, 717, 542, 746, 198, 311, 369, 394, 386, 773, 297, 682, 725, 87, 117, 223, 75, 447, 10, 394, 432, 716, 193, 561, 495, 437, 507, 820, 663, 177, 714, 67, 60, 569, 694, 551, 208, 440, 113, 119, 812, 629, 540, 63, 832, 765, 661, 434, 836, 59, 690, 423, 637, 145, 189, 535, 542, 87, 274, 152, 532, 807, 837, 116, 483, 211, 171, 8, 672, 816, 602, 260, 105, 10, 393, 259, 294, 205, 83, 19, 130, 196, 461, 143, 760, 629, 513, 782, 690, 373, 602, 826, 191, 291, 239, 659, 346, 735, 154, 471, 290, 10, 502, 838, 337, 60, 437, 692, 248, 794, 11, 241, 716, 807, 260, 474, 740, 718, 82, 798, 120, 233, 137, 463, 417, 154, 219, 554, 50, 603, 381, 668, 207, 508, 244, 214, 171, 277, 294, 147, 217, 475, 826, 696, 471, 714, 778, 774, 459, 148, 48, 255, 195, 199, 729, 504, 632, 554, 293, 14, 584, 766, 497, 645, 783, 48, 260, 607, 356, 255, 817, 274, 239, 605, 280, 277, 189, 384, 250, 252, 228, 475, 434, 508, 136, 156, 605, 379, 59, 164, 141, 523, 309, 374, 565, 654, 334, 56, 821, 760, 653, 66, 389, 3, 492, 459, 609, 168, 98, 614, 25, 622, 571, 428, 177, 497, 748, 74, 803, 640, 288, 692, 496, 420, 395, 373, 300, 389, 459, 155, 45, 523, 15, 618, 210, 469, 464, 618, 678, 805, 614, 435, 724, 833, 89, 578, 616, 33, 124, 662, 360, 759, 697, 616, 559, 321, 594, 288, 682, 11, 124, 455, 560, 32, 719, 52, 153, 374, 759, 829, 759, 70, 90}

    {3, 488, 43, 699, 798, 484, 577, 290, 762, 133, 338, 282, 634, 667, 834, 172, 178, 539, 686, 179, 840, 282, 674, 358, 756, 810, 655, 400, 104, 371, 284, 242, 837, 77, 532, 380, 336, 637, 514, 544, 426, 173, 188, 758, 635, 61, 326, 55, 793, 556, 411, 593, 227, 301, 311, 69, 273, 106, 579, 107, 344, 636, 493, 361, 558, 357, 515, 426, 517, 226, 527, 824, 656, 396, 266, 421, 235, 412, 570, 225, 323, 744, 519, 371, 610, 315, 65, 527, 492, 711, 593, 310, 241, 192, 344, 73, 564, 747, 581, 264, 96, 134, 299, 515, 422, 80, 754, 275, 53, 377, 271, 335, 345, 654, 102, 747, 564, 613, 297, 292, 264, 538, 613, 526, 708, 433, 213, 430, 62, 129, 52, 368, 682, 494, 721, 735, 217, 768, 505, 698, 155, 308, 539, 253, 666, 264, 93, 510, 746, 654, 402, 49, 372, 552, 518, 343, 557, 579, 779, 664, 791, 627, 553, 733, 442, 377, 667, 269, 588, 330, 77, 520, 428, 204, 303, 165, 314, 531, 705, 147, 547, 732, 315, 26, 233, 263, 691, 779, 5, 129, 147, 75, 285, 425, 163, 16, 355, 633, 520, 696, 591, 757, 680, 271, 348, 548, 839, 175, 5, 168, 7, 521, 552, 232, 414, 158, 599, 600, 463, 659, 695, 129, 439, 42, 262, 419, 333, 240, 22, 493, 680, 58, 103, 815, 280, 407, 61, 159, 88, 546, 28, 427, 562, 447, 396, 645, 363, 792, 530, 636, 253, 489, 347, 542, 399, 713, 141, 424, 327, 658, 624, 102, 684, 340, 771, 159, 57, 493, 225, 399, 585, 242, 54, 400, 817, 701, 639, 62, 386, 206, 827, 504, 472, 438, 364, 31, 676, 117, 247, 656, 95, 329, 422, 331, 298, 787, 664, 538, 479, 339, 22, 34, 244, 797, 13, 329, 226, 161, 12, 209, 815, 684, 381, 320, 132, 118, 410, 125, 227, 518, 175, 274, 173, 764, 710, 763, 668, 818, 138, 302, 228, 289, 563, 506, 382, 650, 715, 126, 188, 121, 263, 134, 809, 557, 768, 407, 787, 151, 51, 494, 123, 86, 540, 563, 580, 653, 449, 287, 703, 205, 749, 545, 648, 320, 634, 521, 359, 438, 392, 764, 250, 317, 528, 86, 647, 103, 701, 481, 651, 762, 47, 624, 758, 253, 589, 684, 307, 651, 34, 488, 681, 472, 494, 468, 383, 98, 582, 657, 152, 496, 689, 727, 417, 213, 342, 591, 581, 368, 800, 462, 621, 686, 503, 306, 276, 515, 450, 420, 570, 679, 305, 310, 790, 801, 505, 456, 441, 302, 511, 370, 80, 818, 203, 234, 181, 646, 4, 628, 536, 235, 135, 117, 304, 675, 29, 567, 35, 739, 112, 482, 460, 780, 631, 399, 729, 74, 467, 707, 297, 621, 538, 770, 40, 277, 127, 355, 743, 353, 273, 794, 53, 169, 443, 490, 195, 6, 596, 31, 544, 738, 669, 261, 753, 422, 257, 543, 134, 30, 405, 75, 305, 744, 386, 625, 31, 216, 769, 339, 481, 318, 771, 278, 737, 427, 609, 298, 24, 256, 40, 652, 614, 704, 173, 51, 367, 505, 238, 18, 809, 623, 84, 666, 748, 180, 64, 408, 404, 749, 206, 660, 536, 18, 658, 567, 285, 156, 789, 469, 18, 781, 289, 231, 7, 701, 308, 498, 224, 384, 348, 791, 121, 448, 717, 27, 512, 332, 108, 327, 94, 401, 88, 113, 526, 726, 706, 127, 107, 657, 582, 786, 183, 621, 509, 409, 185, 675, 278, 648, 790, 80, 576, 217, 471, 21, 251, 562, 751, 642, 517, 175, 578, 604, 728, 737, 466, 6, 438, 341, 769, 604, 712, 271, 468, 623, 519, 224, 204, 740, 276, 195, 473, 560, 151, 484, 247, 121, 95, 674, 727, 214, 429, 254, 620, 546, 680, 312, 358, 453, 26, 165, 444, 452, 227, 467, 94, 485, 573, 689, 632, 560, 529, 721, 236, 751, 189, 823, 592, 282, 451, 203, 476, 114, 452, 21, 338, 616, 693, 279, 566, 353, 761, 785, 718, 398, 385, 286, 532, 500, 367, 12, 229, 131, 288, 627, 128, 160, 114, 709, 340, 451, 575, 324, 612, 775, 362, 239, 435, 387, 635, 170, 192, 106, 631, 583, 127, 249, 67, 108, 71, 642, 126, 469, 202, 566, 256, 530, 660, 757, 350, 219, 615, 465, 270, 221, 234, 342, 802, 700, 183, 342, 12, 254, 453, 503, 586, 356, 357, 545, 196, 444, 683, 287, 393, 330, 258, 612, 251, 806, 740, 446, 734, 671, 346, 473, 343, 606, 492, 16, 47, 418, 501, 390, 732, 750, 211, 2, 229, 112, 81, 556, 296, 91, 729, 830, 478, 122, 209, 454, 710, 597, 81, 756, 454, 775, 568, 187, 222, 76, 398, 641, 813, 408, 537, 408, 610, 821, 673, 825, 820, 508, 123, 572, 114, 202, 328, 350, 678, 700, 317, 92, 136, 599, 499, 182, 140, 87, 418, 351, 364, 0, 465, 232, 218, 107, 317, 536, 788, 178, 767, 97, 332, 356, 610, 216, 186, 644, 695, 761, 122, 551, 617, 480, 722, 772, 587, 0, 710, 181, 139, 190, 547, 830, 179, 39, 742, 754, 689, 103, 9, 555, 159, 731, 506, 361, 138, 292, 461, 146, 441, 251, 672, 146, 155, 241, 708, 732, 640, 778, 712, 811, 444, 446, 17, 362, 728, 484, 44, 182, 167, 369, 753, 578, 499, 123, 665, 540, 405, 788, 836, 709, 349, 777, 672, 691, 687, 485, 512, 164, 724, 248, 14, 328, 534, 723, 308, 810, 169, 637, 341, 193, 333, 669, 7, 303, 116, 755, 23, 125, 713, 533, 619, 793, 390, 671, 667, 432, 388, 647, 731, 510, 550, 1, 37, 810, 223, 262, 415, 431, 718, 767, 347, 221, 72, 478, 409, 312, 74, 586, 798, 502, 549, 717, 39, 200, 766, 237, 413, 403, 805, 369, 236, 838, 766, 376, 215, 78, 598, 179, 357, 176, 685, 79, 245, 722, 194, 779, 325, 436, 652, 479, 663, 93, 611, 206, 781, 449, 668, 671, 805, 242, 659, 803, 694, 812, 294, 598, 800, 411, 101, 130, 646, 72, 316, 547, 232, 46, 70, 165, 576, 611, 246, 491, 234, 403, 120, 0, 554, 608, 24, 607, 337, 814, 746, 174, 158, 309, 166, 629, 380, 516, 734, 490, 17, 334, 142, 507, 483, 220, 414, 587, 837, 530, 163, 20, 714, 328, 1, 601, 187, 685, 76, 816, 196, 49, 688, 601, 605, 362, 589, 86, 415, 776, 180, 589, 280, 466, 109, 841, 514, 113, 645, 661, 488, 551, 45, 50, 410, 83, 338, 58, 85, 174, 198, 110, 273, 329, 814, 65, 375, 142, 211, 145, 144, 140, 832, 665, 607, 346, 1, 32, 25, 713, 265, 83, 784, 784, 777, 838, 795, 639, 774, 199, 588, 228, 313, 804, 252, 352, 750, 9, 632, 474, 522, 565, 161, 352, 313, 191, 237, 685, 152, 626, 300, 207, 120, 259, 626, 16, 140, 622, 63, 480, 482, 37, 472, 2, 64, 266, 475, 43, 201, 158, 735, 558, 690, 742, 192, 765, 569, 688, 603, 240, 84, 58, 455, 742, 257, 218, 41, 608, 248, 82, 571, 143, 283, 144, 697, 416, 777, 565, 792, 739, 214, 460, 212, 111, 366, 389, 84, 609, 506, 57, 45, 52, 185, 455, 11, 321, 309, 507, 522, 174, 375, 464, 760, 829, 64, 337, 435, 156, 136, 3, 194, 360, 528, 191, 32, 283, 692, 33, 166, 177, 201, 90, 168, 300, 153, 89, 804, 464, 765, 724, 162, 183, 819, 33, 124, 46, 819, 321, 23, 819, 193, 109, 70, 483, 514, 220, 413, 463, 293, 15, 594, 719, 486, 486, 395, 144, 150, 725, 46, 739, 315}

    Returns: {1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1 }

  12. 954

    {458, 242, 497, 785, 222, 169, 929, 665, 797, 918, 6, 915, 705, 163, 432, 791, 805, 774, 536, 266, 903, 478, 458, 458, 112, 412, 311, 0, 544, 446, 294, 545, 384, 425, 111, 938, 220, 215, 684, 511, 260, 903, 606, 42, 47, 205, 99, 724, 567, 13, 591, 271, 593, 929, 844, 222, 166, 8, 252, 280, 571, 410, 240, 167, 29, 231, 293, 411, 287, 512, 566, 652, 127, 553, 526, 610, 91, 68, 425, 791, 897, 308, 745, 844, 749, 534, 209, 336, 400, 612, 433, 384, 828, 84, 826, 475, 92, 756, 487, 569, 405, 213, 674, 543, 125, 775, 587, 195, 816, 246, 338, 238, 928, 256, 863, 638, 347, 469, 792, 754, 141, 768, 736, 742, 534, 629, 729, 96, 722, 786, 353, 304, 165, 863, 632, 96, 332, 336, 259, 645, 447, 876, 628, 185, 949, 827, 763, 311, 392, 103, 147, 170, 561, 94, 207, 79, 272, 652, 343, 699, 266, 592, 747, 392, 16, 360, 319, 140, 241, 592, 222, 729, 360, 86, 290, 79, 922, 155, 757, 364, 303, 343, 595, 138, 520, 419, 138, 461, 67, 519, 545, 842, 508, 912, 417, 691, 513, 719, 165, 126, 775, 931, 99, 794, 638, 203, 418, 849, 551, 440, 486, 384, 767, 512, 894, 872, 356, 842, 449, 626, 155, 595, 208, 699, 119, 211, 272, 179, 701, 492, 549, 289, 148, 585, 36, 41, 784, 274, 218, 106, 157, 492, 907, 255, 564, 686, 816, 443, 827, 944, 149, 805, 179, 308, 860, 414, 717, 476, 738, 852, 844, 839, 190, 50, 240, 535, 656, 520, 673, 685, 758, 930, 711, 185, 908, 670, 631, 298, 654, 408, 951, 233, 357, 237, 256, 339, 97, 158, 576, 900, 724, 761, 195, 792, 617, 734, 402, 507, 119, 658, 338, 917, 285, 319, 14, 614, 612, 936, 428, 279, 532, 472, 361, 427, 530, 752, 259, 895, 763, 72, 485, 466, 283, 421, 536, 619, 915, 735, 948, 806, 842, 948, 555, 611, 100, 427, 53, 538, 4, 526, 726, 794, 372, 619, 495, 245, 874, 667, 525, 124, 391, 471, 879, 87, 847, 908, 685, 225, 788, 72, 408, 523, 835, 348, 626, 179, 286, 669, 76, 585, 253, 742, 386, 304, 896, 706, 901, 480, 307, 219, 323, 447, 754, 282, 803, 866, 71, 658, 878, 385, 825, 634, 29, 519, 393, 739, 245, 82, 948, 293, 310, 837, 299, 500, 612, 449, 119, 890, 338, 359, 885, 898, 433, 883, 305, 453, 747, 105, 879, 396, 814, 674, 654, 644, 653, 302, 2, 602, 290, 288, 339, 909, 923, 251, 748, 813, 249, 654, 353, 248, 404, 527, 236, 919, 602, 177, 16, 104, 950, 725, 796, 488, 611, 732, 416, 125, 903, 788, 275, 783, 908, 697, 309, 305, 516, 841, 716, 541, 485, 332, 537, 718, 381, 947, 433, 509, 822, 934, 666, 369, 216, 226, 862, 61, 309, 640, 91, 598, 742, 116, 410, 363, 341, 916, 358, 730, 740, 282, 91, 452, 490, 793, 88, 889, 438, 800, 87, 54, 751, 311, 522, 815, 653, 463, 736, 878, 133, 515, 216, 152, 139, 708, 836, 139, 342, 940, 531, 381, 396, 326, 952, 163, 407, 483, 732, 523, 884, 584, 505, 625, 764, 375, 818, 129, 459, 643, 17, 167, 206, 128, 393, 774, 159, 931, 764, 747, 594, 891, 762, 804, 335, 134, 818, 634, 248, 220, 707, 388, 411, 655, 517, 156, 447, 733, 345, 300, 199, 610, 906, 3, 646, 21, 81, 763, 445, 479, 925, 797, 557, 63, 801, 382, 755, 20, 375, 183, 620, 146, 391, 348, 486, 672, 279, 812, 376, 258, 153, 748, 148, 703, 446, 949, 233, 734, 494, 59, 371, 224, 778, 684, 244, 73, 183, 740, 123, 897, 927, 248, 619, 560, 154, 513, 286, 103, 312, 278, 74, 577, 641, 451, 65, 537, 795, 834, 784, 896, 50, 461, 582, 681, 512, 918, 131, 918, 936, 193, 241, 680, 596, 234, 615, 296, 336, 676, 752, 109, 223, 822, 231, 755, 275, 854, 449, 544, 544, 95, 199, 861, 418, 855, 305, 673, 395, 516, 821, 112, 155, 137, 580, 480, 783, 242, 278, 493, 216, 267, 648, 925, 714, 540, 759, 400, 864, 401, 646, 890, 418, 621, 373, 406, 328, 561, 260, 10, 491, 897, 188, 445, 46, 724, 60, 304, 598, 947, 632, 313, 234, 866, 474, 453, 4, 905, 420, 746, 504, 769, 633, 617, 539, 533, 93, 661, 729, 853, 428, 622, 689, 337, 7, 398, 701, 4, 715, 666, 61, 823, 944, 69, 688, 389, 260, 488, 187, 57, 250, 860, 692, 828, 943, 77, 190, 94, 323, 489, 779, 186, 408, 758, 942, 201, 148, 172, 779, 755, 149, 723, 146, 798, 949, 810, 788, 839, 631, 931, 855, 169, 22, 714, 33, 556, 953, 664, 129, 902, 662, 713, 34, 98, 244, 569, 35, 129, 902, 49, 770, 102, 201, 905, 633, 261, 327, 719, 628, 253, 298, 265, 730, 236, 737, 205, 266, 822, 212, 58, 597, 257, 689, 690, 128, 669, 681, 560, 361, 663, 423, 587, 181, 251, 597, 205, 64, 882, 273, 650, 509, 666, 376, 697, 1, 77, 247, 741, 578, 722, 503, 401, 706, 529, 828, 635, 760, 737, 450, 157, 40, 221, 429, 83, 838, 511, 475, 315, 395, 73, 713, 668, 535, 657, 650, 48, 175, 242, 859, 198, 436, 795, 630, 694, 215, 861, 680, 484, 672, 432, 371, 196, 83, 344, 34, 602, 887, 554, 204, 276, 888, 593, 759, 65, 176, 63, 365, 300, 909, 506, 108, 470, 212, 161, 21, 228, 773, 15, 400, 530, 713, 407, 67, 355, 538, 911, 76, 749, 511, 564, 24, 498, 577, 727, 306, 892, 505, 809, 589, 444, 942, 604, 751, 748, 232, 324, 556, 314, 708, 36, 644, 817, 445, 589, 235, 431, 114, 649, 307, 329, 540, 26, 225, 548, 867, 946, 113, 262, 291, 857, 199, 583, 639, 939, 540, 49, 276, 193, 122, 451, 115, 658, 212, 783, 228, 486, 377, 328, 135, 70, 354, 455, 178, 253, 460, 888, 548, 184, 325, 691, 664, 312, 787, 613, 367, 333, 68, 916, 935, 919, 75, 531, 192, 315, 884, 229, 383, 145, 110, 0, 870, 188, 193, 108, 152, 366, 42, 230, 655, 733, 557, 75, 543, 542, 184, 533, 335, 536, 627, 349, 359, 118, 696, 351, 945, 278, 443, 357, 10, 518, 817, 466, 510, 464, 826, 292, 613, 601, 876, 265, 507, 559, 782, 351, 651, 653, 937, 269, 840, 89, 664, 873, 169, 383, 291, 390, 98, 337, 117, 462, 32, 30, 5, 44, 277, 357, 521, 122, 657, 137, 292, 442, 46, 721, 397, 889, 910, 746, 932, 328, 854, 89, 601, 361, 552, 717, 135, 320, 65, 815, 467, 596, 746, 189, 303, 200, 239, 145, 765, 154, 396, 813, 79, 217, 921, 101, 589, 70, 39, 326, 150, 150, 572, 690, 913, 605, 690, 790, 137, 607, 431, 904, 677, 629, 702, 9, 32, 358, 436, 390, 18, 605, 945, 239, 2, 424, 439, 830, 159, 651, 125, 390, 171, 441, 936, 933, 789, 832, 738, 882, 875, 535, 524, 659, 197, 442, 116, 85, 230, 813, 117, 230, 113, 422, 367, 833, 217, 605, 270, 18, 584, 481, 11, 554, 58, 185, 725, 485, 93, 630, 573, 88, 731, 132, 493, 45, 469, 599, 490, 33, 744, 66, 627, 473, 415, 744, 899, 830, 172, 913, 428, 709, 591, 44, 123, 502, 161, 274, 427, 812, 806, 623, 243, 700, 868, 751, 105, 782, 467, 616, 252, 294, 467, 835, 508, 327, 420, 494, 26, 738, 554, 464, 331, 518, 42, 790, 901, 124, 350, 547, 9, 882, 320, 905, 648, 832, 848, 47, 473, 727, 380, 162, 66, 927, 780, 19, 867, 910, 213, 153, 322, 831, 900, 579, 661, 700, 121, 31, 106, 405, 200, 493, 316, 753, 440, 841, 41, 81, 715, 263, 712, 107, 457, 637, 178, 838, 675, 849, 243, 394, 833, 508, 802, 521, 18, 568, 778, 175, 764, 859, 105, 213, 252, 836, 793, 649, 877, 667, 838, 189, 604, 608, 865, 426, 675, 426, 297, 881, 340, 15, 819, 760, 573, 111, 206, 264, 806, 189, 12, 848, 37, 705, 600, 667, 25, 388, 768, 496, 52, 496, 624, 784, 429, 132, 953, 482, 200, 444, 753, 368, 787, 953, 518, 287, 648, 340, 355, 596, 56, 355, 429, 637, 849, 709, 124, 850, 335, 624, 771, 37, 637, 771, 514, 776, 378, 173, 298, 568, 524, 82, 465, 510, 809, 910, 877, 277, 182, 202, 726, 342, 726, 829, 756, 12, 454, 82, 756}

    {874, 188, 831, 246, 625, 785, 704, 893, 707, 574, 109, 777, 722, 489, 97, 777, 255, 700, 710, 693, 545, 952, 846, 1, 909, 792, 247, 376, 51, 929, 456, 379, 70, 346, 161, 53, 279, 678, 318, 258, 567, 692, 345, 588, 657, 270, 275, 803, 847, 170, 139, 868, 19, 710, 586, 221, 643, 290, 5, 944, 226, 645, 920, 765, 7, 238, 736, 165, 39, 696, 166, 38, 295, 50, 676, 770, 645, 158, 845, 916, 686, 246, 684, 227, 934, 133, 541, 865, 417, 880, 16, 470, 78, 767, 271, 166, 872, 574, 525, 130, 158, 145, 101, 951, 201, 285, 557, 315, 367, 824, 555, 382, 483, 671, 879, 804, 435, 697, 774, 409, 907, 608, 796, 760, 318, 140, 677, 561, 652, 11, 846, 863, 24, 573, 894, 117, 872, 750, 99, 434, 356, 271, 922, 669, 811, 750, 436, 721, 484, 461, 504, 590, 127, 499, 434, 501, 585, 54, 581, 869, 460, 74, 750, 761, 385, 515, 620, 592, 580, 286, 387, 208, 562, 687, 626, 472, 502, 570, 164, 541, 483, 48, 636, 330, 310, 808, 122, 886, 500, 133, 164, 820, 930, 718, 689, 471, 496, 574, 262, 891, 100, 611, 570, 656, 571, 244, 3, 227, 27, 865, 432, 630, 254, 703, 51, 777, 558, 283, 84, 80, 919, 565, 156, 450, 614, 681, 870, 208, 38, 794, 14, 414, 425, 595, 820, 419, 258, 500, 249, 571, 312, 515, 352, 268, 563, 151, 256, 156, 333, 159, 62, 62, 349, 823, 917, 579, 817, 542, 152, 149, 678, 471, 96, 6, 329, 22, 11, 717, 334, 80, 319, 184, 235, 924, 25, 438, 635, 793, 820, 514, 590, 116, 393, 51, 389, 136, 527, 264, 864, 686, 78, 895, 808, 852, 639, 531, 883, 259, 354, 57, 711, 797, 639, 40, 435, 586, 3, 665, 532, 48, 52, 321, 243, 894, 678, 313, 210, 808, 867, 814, 235, 210, 943, 229, 523, 761, 946, 261, 928, 895, 84, 197, 19, 847, 635, 638, 752, 128, 386, 301, 708, 823, 869, 207, 885, 207, 858, 694, 829, 218, 498, 950, 856, 907, 586, 272, 410, 495, 13, 282, 450, 688, 276, 884, 579, 888, 76, 581, 562, 625, 190, 284, 497, 682, 413, 873, 465, 325, 126, 559, 711, 431, 412, 501, 876, 353, 362, 97, 651, 389, 816, 69, 359, 17, 588, 456, 198, 28, 459, 308, 489, 804, 572, 223, 594, 195, 762, 930, 696, 299, 942, 295, 604, 183, 217, 922, 920, 896, 257, 294, 628, 513, 463, 74, 719, 238, 220, 655, 706, 310, 352, 866, 527, 810, 950, 474, 187, 472, 404, 618, 138, 781, 915, 898, 814, 377, 1, 292, 926, 5, 345, 80, 399, 382, 136, 307, 553, 237, 492, 892, 839, 798, 693, 164, 456, 503, 27, 22, 468, 211, 861, 766, 318, 370, 85, 321, 520, 566, 398, 616, 75, 20, 72, 887, 650, 864, 100, 731, 62, 300, 228, 226, 856, 807, 269, 173, 800, 892, 191, 186, 846, 868, 739, 140, 582, 285, 403, 607, 110, 923, 688, 762, 549, 332, 566, 136, 288, 257, 240, 419, 267, 555, 219, 821, 44, 167, 437, 634, 191, 284, 656, 112, 925, 452, 89, 2, 553, 146, 606, 348, 947, 627, 920, 800, 147, 168, 714, 102, 90, 824, 446, 403, 273, 175, 853, 53, 459, 214, 552, 241, 505, 430, 115, 677, 86, 551, 940, 350, 641, 672, 214, 364, 912, 529, 934, 743, 219, 438, 422, 288, 857, 430, 552, 548, 211, 293, 346, 181, 801, 542, 577, 28, 590, 551, 7, 363, 451, 610, 30, 641, 880, 558, 102, 380, 798, 409, 631, 935, 580, 478, 69, 251, 54, 306, 860, 811, 177, 265, 29, 247, 478, 615, 379, 176, 39, 517, 109, 771, 623, 685, 391, 249, 233, 803, 563, 95, 218, 599, 296, 26, 663, 402, 911, 322, 633, 683, 414, 334, 858, 441, 603, 134, 479, 280, 170, 203, 95, 386, 786, 296, 261, 301, 607, 938, 203, 87, 73, 324, 406, 417, 372, 209, 295, 147, 321, 280, 57, 939, 380, 807, 880, 887, 64, 830, 647, 682, 670, 168, 743, 701, 71, 168, 341, 283, 60, 104, 858, 225, 224, 6, 757, 569, 890, 399, 437, 416, 801, 394, 223, 127, 268, 851, 126, 504, 399, 914, 526, 581, 570, 506, 546, 539, 834, 772, 350, 262, 441, 404, 773, 937, 869, 121, 883, 734, 647, 411, 194, 27, 466, 609, 143, 578, 221, 779, 198, 687, 739, 481, 743, 162, 692, 360, 196, 405, 851, 598, 563, 487, 28, 302, 71, 506, 780, 49, 121, 818, 488, 825, 14, 157, 741, 617, 334, 237, 474, 460, 498, 120, 901, 952, 187, 101, 94, 757, 519, 31, 268, 180, 475, 733, 775, 835, 886, 227, 424, 582, 301, 543, 383, 647, 840, 687, 374, 313, 939, 744, 88, 131, 40, 933, 720, 855, 807, 941, 704, 769, 854, 339, 558, 517, 885, 409, 325, 397, 430, 593, 423, 131, 754, 796, 603, 34, 871, 395, 789, 584, 324, 440, 642, 59, 772, 35, 727, 462, 363, 856, 209, 704, 110, 826, 911, 13, 945, 499, 8, 927, 463, 670, 387, 132, 38, 415, 767, 78, 740, 98, 47, 476, 64, 873, 481, 470, 373, 462, 196, 549, 437, 878, 532, 745, 529, 537, 845, 673, 484, 642, 224, 366, 346, 8, 609, 837, 83, 759, 886, 331, 413, 565, 412, 710, 134, 802, 683, 17, 385, 642, 644, 912, 176, 371, 640, 765, 330, 560, 297, 723, 534, 516, 640, 364, 583, 374, 564, 299, 622, 330, 423, 90, 735, 731, 834, 177, 614, 749, 326, 618, 120, 232, 578, 597, 509, 937, 401, 377, 629, 576, 533, 236, 914, 902, 938, 758, 923, 349, 204, 620, 403, 204, 372, 468, 546, 392, 416, 497, 851, 24, 0, 601, 683, 857, 254, 453, 379, 250, 691, 113, 852, 154, 61, 646, 695, 891, 606, 636, 477, 381, 151, 694, 893, 370, 924, 250, 572, 365, 660, 202, 172, 114, 141, 546, 621, 160, 43, 636, 591, 263, 144, 893, 521, 547, 214, 86, 588, 36, 108, 370, 766, 43, 723, 613, 144, 933, 151, 802, 267, 448, 853, 103, 495, 770, 898, 699, 482, 665, 171, 705, 810, 679, 805, 67, 356, 716, 93, 59, 899, 502, 141, 106, 859, 772, 848, 160, 562, 576, 663, 840, 30, 567, 928, 766, 406, 341, 55, 703, 556, 452, 63, 120, 314, 539, 889, 68, 662, 682, 603, 443, 58, 284, 413, 457, 231, 575, 773, 306, 434, 501, 281, 316, 182, 32, 215, 943, 104, 695, 143, 174, 421, 35, 77, 819, 12, 181, 448, 899, 52, 737, 277, 538, 45, 662, 676, 780, 37, 913, 269, 643, 426, 358, 254, 347, 827, 329, 245, 314, 150, 229, 398, 503, 600, 373, 302, 745, 415, 191, 875, 730, 135, 55, 309, 812, 352, 323, 522, 375, 843, 875, 622, 491, 693, 725, 698, 316, 56, 281, 709, 41, 680, 831, 322, 507, 274, 178, 821, 454, 721, 354, 118, 362, 843, 862, 297, 917, 623, 186, 273, 374, 671, 366, 789, 735, 327, 845, 291, 926, 153, 924, 420, 457, 469, 130, 115, 365, 559, 442, 468, 720, 487, 698, 55, 23, 439, 160, 20, 347, 707, 362, 494, 107, 422, 837, 90, 234, 351, 510, 281, 424, 550, 753, 732, 718, 402, 143, 836, 130, 587, 843, 397, 702, 926, 482, 448, 786, 180, 499, 811, 123, 712, 728, 530, 615, 609, 702, 940, 490, 340, 621, 479, 951, 107, 525, 477, 862, 785, 608, 9, 10, 23, 118, 491, 369, 270, 583, 941, 668, 343, 197, 162, 480, 144, 781, 25, 192, 180, 616, 522, 715, 337, 378, 56, 946, 174, 874, 599, 632, 661, 841, 674, 741, 473, 369, 671, 904, 477, 660, 871, 565, 114, 819, 320, 769, 791, 649, 444, 163, 232, 378, 46, 21, 904, 455, 435, 344, 870, 421, 455, 824, 289, 255, 781, 932, 932, 712, 815, 799, 264, 668, 825, 43, 594, 239, 192, 31, 768, 171, 60, 575, 289, 679, 439, 728, 174, 906, 795, 394, 720, 333, 782, 142, 303, 23, 575, 263, 388, 331, 344, 787, 464, 778, 550, 387, 407, 210, 935, 659, 833, 81, 799, 624, 524, 85, 660, 550, 454, 679, 698, 194, 716, 287, 194, 547, 809, 465, 142, 600, 15, 528, 921, 695, 476, 906, 799, 921, 776, 790, 871, 342, 675, 618, 111, 142, 881, 728, 206, 514, 941, 33, 368, 850, 877, 528, 528, 900, 173, 659, 832, 66, 881, 850, 45, 829, 776, 368, 182, 317, 92, 92, 914, 317, 202, 317, 568}

    Returns: {0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0 }

  13. 934

    {632, 317, 199, 506, 429, 203, 493, 774, 637, 321, 759, 776, 578, 760, 128, 5, 426, 133, 454, 634, 531, 827, 378, 357, 852, 519, 39, 343, 742, 700, 472, 609, 581, 837, 403, 737, 319, 559, 396, 483, 788, 60, 719, 248, 693, 751, 661, 17, 804, 736, 534, 379, 264, 194, 197, 582, 268, 199, 42, 430, 864, 676, 519, 542, 755, 394, 178, 628, 805, 239, 682, 618, 285, 830, 93, 435, 344, 401, 162, 866, 478, 154, 238, 768, 776, 605, 904, 658, 567, 898, 314, 754, 452, 882, 860, 901, 376, 781, 627, 622, 199, 473, 352, 15, 639, 826, 593, 928, 698, 383, 555, 14, 693, 12, 168, 798, 825, 727, 816, 662, 329, 49, 697, 109, 517, 8, 751, 469, 756, 553, 498, 496, 834, 157, 254, 150, 707, 749, 811, 757, 275, 553, 566, 65, 606, 752, 674, 183, 99, 630, 24, 101, 755, 891, 7, 75, 634, 502, 8, 48, 99, 411, 178, 227, 768, 52, 510, 855, 478, 627, 359, 766, 714, 61, 114, 6, 747, 62, 565, 410, 82, 303, 679, 71, 421, 775, 912, 621, 738, 72, 60, 220, 297, 544, 565, 171, 48, 522, 107, 37, 564, 90, 743, 6, 56, 444, 41, 491, 766, 794, 11, 344, 475, 924, 758, 911, 285, 688, 887, 903, 599, 817, 481, 674, 534, 918, 185, 792, 38, 904, 382, 767, 397, 921, 181, 585, 785, 122, 25, 523, 162, 21, 487, 403, 663, 324, 750, 593, 455, 323, 740, 849, 293, 451, 188, 778, 777, 184, 432, 911, 477, 553, 759, 43, 876, 265, 20, 85, 393, 197, 210, 588, 479, 421, 251, 36, 467, 532, 42, 878, 895, 477, 606, 141, 184, 10, 179, 915, 511, 263, 434, 107, 273, 552, 733, 887, 205, 847, 907, 803, 305, 112, 380, 851, 212, 3, 426, 193, 870, 773, 382, 621, 888, 219, 241, 424, 246, 342, 635, 639, 769, 889, 870, 730, 679, 392, 808, 784, 345, 85, 858, 145, 335, 732, 247, 753, 350, 797, 502, 557, 171, 732, 715, 31, 97, 301, 791, 667, 48, 31, 242, 118, 891, 811, 291, 214, 6, 835, 253, 577, 717, 464, 796, 196, 741, 848, 395, 331, 459, 739, 919, 614, 220, 468, 434, 819, 415, 819, 227, 415, 54, 927, 30, 9, 651, 819, 676, 366, 786, 897, 360, 2, 407, 664, 464, 154, 573, 136, 31, 196, 141, 758, 861, 490, 3, 919, 37, 860, 428, 918, 38, 132, 393, 517, 236, 65, 518, 505, 357, 344, 66, 775, 643, 615, 153, 177, 673, 711, 297, 202, 375, 696, 373, 526, 375, 765, 42, 482, 64, 324, 187, 690, 382, 399, 517, 571, 61, 77, 569, 401, 166, 776, 655, 592, 323, 390, 514, 805, 876, 281, 909, 204, 194, 366, 863, 173, 716, 475, 223, 656, 576, 7, 816, 122, 143, 701, 37, 33, 539, 437, 245, 476, 893, 588, 182, 273, 117, 446, 27, 90, 690, 5, 304, 604, 185, 834, 175, 412, 638, 709, 530, 912, 706, 898, 549, 855, 740, 847, 142, 428, 354, 809, 931, 821, 40, 270, 185, 330, 514, 341, 863, 871, 852, 786, 206, 87, 597, 898, 250, 571, 772, 650, 271, 112, 413, 682, 664, 547, 251, 741, 381, 794, 269, 497, 663, 173, 273, 807, 843, 102, 356, 734, 299, 649, 148, 685, 771, 345, 752, 484, 811, 875, 748, 640, 264, 877, 708, 207, 384, 887, 703, 513, 875, 826, 399, 709, 332, 839, 176, 525, 654, 522, 356, 413, 595, 596, 774, 451, 874, 311, 601, 280, 309, 296, 148, 702, 230, 807, 427, 805, 351, 577, 907, 321, 424, 174, 647, 302, 621, 765, 788, 242, 260, 554, 784, 750, 750, 75, 423, 920, 813, 733, 16, 331, 808, 193, 631, 783, 298, 59, 823, 885, 796, 206, 703, 873, 274, 609, 457, 794, 545, 569, 502, 234, 216, 150, 902, 539, 9, 845, 441, 253, 803, 515, 244, 479, 749, 41, 387, 576, 204, 399, 351, 507, 536, 536, 396, 19, 505, 58, 516, 198, 349, 659, 829, 100, 933, 267, 191, 0, 355, 721, 169, 447, 535, 325, 19, 69, 414, 309, 225, 283, 878, 249, 130, 209, 596, 385, 456, 628, 352, 377, 116, 708, 250, 438, 769, 365, 112, 370, 877, 903, 769, 547, 767, 277, 367, 375, 128, 292, 845, 466, 413, 591, 557, 598, 684, 88, 190, 812, 913, 242, 892, 354, 845, 842, 41, 654, 391, 54, 908, 333, 74, 685, 424, 71, 746, 521, 81, 839, 204, 69, 8, 754, 578, 837, 342, 734, 546, 225, 761, 928, 97, 515, 745, 403, 900, 546, 359, 476, 526, 749, 168, 652, 262, 61, 747, 687, 928, 709, 793, 428, 850, 540, 303, 540, 890, 298, 885, 662, 350, 681, 346, 346, 378, 595, 792, 529, 207, 372, 503, 231, 748, 729, 462, 624, 300, 756, 455, 284, 276, 652, 922, 861, 561, 216, 304, 299, 419, 395, 67, 658, 392, 868, 283, 386, 874, 716, 919, 431, 271, 661, 475, 721, 489, 636, 574, 30, 463, 552, 900, 12, 109, 141, 576, 760, 875, 503, 837, 611, 306, 166, 586, 132, 259, 26, 859, 796, 620, 735, 271, 834, 98, 156, 229, 62, 346, 483, 897, 134, 613, 584, 175, 287, 929, 336, 725, 871, 574, 723, 516, 414, 764, 492, 52, 496, 725, 841, 267, 612, 925, 1, 270, 570, 226, 445, 532, 613, 355, 105, 753, 920, 315, 730, 710, 528, 559, 840, 218, 339, 392, 160, 288, 894, 692, 830, 241, 746, 858, 846, 163, 625, 132, 451, 499, 466, 672, 400, 764, 683, 119, 452, 640, 412, 12, 341, 277, 436, 635, 726, 666, 653, 702, 94, 718, 906, 622, 59, 311, 827, 266, 441, 208, 202, 323, 711, 866, 896, 384, 647, 423, 110, 586, 881, 235, 913, 15, 867, 113, 136, 812, 309, 305, 832, 584, 338, 450, 561, 711, 628, 397, 121, 142, 420, 817, 18, 151, 159, 853, 88, 720, 610, 36, 799, 327, 25, 830, 612, 499, 604, 511, 578, 720, 880, 102, 134, 561, 360, 380, 732, 842, 778, 797, 29, 395, 283, 595, 619, 129, 425, 818, 15, 592, 442, 617, 594, 922, 712, 243, 256, 822, 167, 217, 432, 129, 501, 296, 195, 590, 783, 856, 281, 40, 388, 701, 158, 583, 301, 55, 206, 147, 838, 905, 710, 295, 389, 493, 894, 5, 503, 328, 922, 821, 708, 409, 231, 131, 165, 143, 501, 96, 771, 832, 697, 217, 174, 103, 239, 600, 856, 619, 592, 44, 310, 274, 501, 865, 257, 155, 144, 377, 144, 873, 763, 804, 816, 454, 727, 259, 580, 665, 906, 272, 913, 1, 118, 310, 104, 26, 294, 318, 600, 398, 663, 494, 332, 406, 255, 265, 67, 617, 591, 896, 149, 779, 91, 290, 549, 490, 50, 0, 899, 261, 677, 644, 431, 0, 80, 551, 140, 453, 731, 78, 228, 219, 175, 318, 318, 770, 167, 192, 116, 68, 833, 548, 51, 638, 229, 77, 155, 290, 266, 374, 677, 884, 111, 782, 524, 322, 825, 221, 590, 724, 200, 770, 306, 292, 260, 564, 115, 678, 777, 685, 789, 101, 408, 88, 316, 817, 418, 198, 669, 790, 568, 165, 232, 573, 492, 691, 389, 804, 308, 780, 717, 818, 652, 691, 332, 317, 556, 494, 883, 76, 216, 249, 248, 800, 504, 151, 824, 267, 450, 134, 57, 758, 449, 669, 508, 899, 828, 579, 208, 560, 96, 84, 215, 719, 822, 821, 404, 527, 498, 313, 589, 799, 820, 696, 313, 864, 641, 843, 230, 827, 917, 13, 835, 106, 899, 698, 483, 176, 379, 665, 84, 680, 496, 40, 39, 548, 672, 84, 587, 761, 824, 528, 20, 140, 568, 195, 92, 184, 543, 123, 806, 68, 328, 799, 232, 442, 915, 363, 150, 149, 921, 289, 485, 282, 110, 453, 174, 689, 452, 646, 326, 495, 252, 274, 486, 539, 917, 95, 532, 398, 695, 575, 63, 396, 761, 814, 607, 114, 402, 100, 736, 49, 22, 402, 361, 866, 282, 671, 418, 459, 512, 923, 195, 110, 26, 488, 308, 787, 779, 137, 272, 465, 326, 222, 521, 327, 219, 728, 211, 212, 211, 600, 416, 573, 222, 650, 164, 322, 57, 818, 440, 587, 925, 386, 556, 316, 4, 694, 269, 213, 186, 63, 365, 665, 50, 594, 486, 762, 308, 931, 226, 279, 529, 468, 562, 824, 787, 549, 533, 670, 719, 728, 471, 728, 836, 213, 391, 320}

    {472, 240, 369, 277, 153, 97, 156, 80, 747, 166, 519, 69, 81, 46, 246, 46, 932, 449, 563, 367, 289, 276, 857, 907, 869, 194, 744, 566, 33, 733, 803, 444, 858, 312, 841, 810, 439, 86, 878, 890, 45, 531, 735, 87, 376, 846, 460, 673, 682, 181, 513, 599, 889, 233, 447, 426, 525, 909, 914, 538, 916, 357, 839, 349, 431, 235, 611, 905, 341, 94, 243, 759, 296, 879, 722, 405, 66, 151, 547, 546, 343, 244, 162, 233, 893, 481, 882, 534, 436, 294, 182, 419, 676, 38, 442, 902, 800, 109, 17, 411, 470, 622, 882, 850, 891, 766, 657, 142, 23, 47, 124, 419, 152, 307, 860, 79, 720, 191, 904, 246, 55, 572, 633, 371, 927, 690, 86, 135, 335, 718, 739, 122, 572, 55, 307, 757, 197, 480, 321, 373, 85, 3, 156, 782, 486, 780, 51, 826, 615, 702, 653, 412, 535, 589, 673, 282, 446, 617, 314, 525, 203, 410, 462, 627, 163, 443, 287, 359, 726, 560, 705, 319, 634, 577, 783, 335, 381, 229, 169, 89, 224, 751, 56, 518, 72, 89, 319, 666, 333, 183, 223, 933, 599, 179, 251, 677, 706, 147, 743, 263, 515, 863, 786, 457, 814, 785, 362, 436, 66, 411, 165, 829, 196, 518, 755, 354, 584, 724, 189, 333, 688, 588, 458, 881, 611, 350, 618, 484, 662, 506, 289, 729, 610, 18, 139, 526, 258, 721, 429, 867, 888, 638, 609, 438, 658, 240, 393, 731, 655, 554, 46, 130, 648, 806, 238, 254, 233, 867, 649, 883, 422, 906, 1, 480, 614, 188, 397, 291, 405, 170, 461, 75, 909, 407, 435, 740, 806, 149, 325, 7, 550, 704, 376, 479, 644, 232, 802, 679, 447, 484, 334, 810, 292, 439, 478, 854, 844, 102, 93, 629, 857, 261, 684, 545, 504, 2, 104, 53, 240, 871, 421, 63, 172, 872, 177, 505, 10, 260, 614, 139, 712, 453, 371, 433, 89, 230, 64, 656, 801, 405, 684, 706, 269, 784, 545, 469, 535, 170, 120, 675, 133, 463, 224, 179, 168, 538, 4, 872, 512, 74, 918, 659, 364, 448, 604, 815, 177, 828, 896, 456, 726, 872, 901, 551, 79, 537, 307, 767, 770, 315, 602, 381, 742, 190, 757, 223, 297, 537, 288, 293, 33, 278, 555, 714, 727, 454, 574, 440, 537, 115, 648, 626, 512, 788, 161, 217, 619, 686, 642, 56, 355, 660, 849, 612, 664, 636, 538, 422, 252, 261, 768, 245, 257, 847, 681, 513, 735, 793, 485, 550, 203, 714, 183, 351, 542, 460, 224, 468, 65, 245, 490, 753, 869, 504, 457, 778, 640, 25, 894, 91, 234, 352, 825, 139, 235, 378, 850, 325, 460, 163, 455, 785, 152, 361, 369, 71, 704, 334, 550, 70, 648, 445, 506, 255, 862, 914, 575, 487, 201, 82, 722, 862, 763, 566, 146, 82, 558, 606, 280, 263, 885, 278, 707, 597, 145, 807, 448, 24, 569, 72, 631, 601, 440, 293, 284, 383, 191, 244, 655, 854, 77, 597, 744, 155, 623, 620, 374, 58, 193, 688, 256, 287, 507, 338, 886, 345, 868, 221, 117, 2, 471, 270, 178, 35, 285, 300, 801, 161, 275, 660, 764, 437, 205, 120, 73, 339, 615, 81, 809, 173, 716, 540, 712, 124, 87, 462, 618, 629, 654, 895, 854, 189, 774, 661, 469, 445, 722, 125, 54, 585, 161, 647, 897, 120, 674, 407, 626, 176, 835, 696, 86, 432, 718, 703, 650, 127, 347, 331, 602, 530, 580, 172, 443, 848, 797, 299, 152, 138, 879, 792, 187, 90, 781, 558, 844, 45, 35, 44, 653, 671, 877, 890, 798, 558, 276, 83, 356, 779, 607, 879, 427, 210, 915, 348, 16, 828, 886, 268, 373, 272, 383, 14, 368, 657, 559, 22, 47, 108, 745, 238, 434, 626, 234, 304, 209, 137, 369, 699, 927, 905, 286, 500, 859, 741, 337, 602, 743, 523, 488, 689, 522, 47, 798, 135, 93, 596, 870, 275, 420, 208, 133, 707, 83, 683, 218, 380, 372, 135, 583, 314, 34, 636, 873, 745, 544, 852, 678, 253, 127, 23, 11, 808, 205, 35, 153, 930, 420, 131, 693, 857, 698, 390, 734, 790, 687, 21, 144, 565, 116, 338, 415, 570, 888, 901, 16, 563, 542, 157, 802, 258, 458, 620, 481, 668, 128, 487, 281, 117, 876, 645, 214, 250, 214, 729, 472, 365, 322, 294, 202, 231, 79, 699, 507, 530, 209, 856, 278, 368, 491, 564, 73, 367, 635, 266, 895, 160, 43, 64, 106, 18, 113, 754, 842, 115, 180, 739, 444, 201, 187, 902, 883, 32, 182, 36, 598, 781, 723, 218, 439, 497, 364, 748, 853, 339, 524, 582, 536, 131, 645, 52, 105, 28, 312, 470, 632, 164, 795, 284, 637, 645, 886, 859, 171, 823, 823, 121, 44, 492, 598, 527, 364, 17, 586, 610, 408, 464, 480, 303, 752, 681, 657, 252, 414, 900, 773, 583, 756, 836, 371, 387, 868, 126, 186, 330, 458, 631, 881, 106, 680, 715, 24, 13, 305, 200, 30, 466, 368, 831, 129, 394, 104, 311, 337, 94, 429, 264, 313, 643, 773, 694, 257, 398, 813, 125, 4, 889, 343, 389, 83, 402, 933, 211, 800, 822, 892, 765, 456, 370, 562, 593, 227, 254, 560, 508, 353, 713, 737, 903, 465, 669, 340, 370, 659, 563, 555, 409, 62, 772, 45, 473, 288, 554, 812, 529, 401, 60, 701, 201, 581, 572, 387, 237, 192, 660, 286, 485, 337, 362, 844, 470, 239, 509, 668, 931, 119, 148, 642, 616, 848, 29, 435, 51, 656, 789, 198, 746, 362, 864, 247, 446, 406, 869, 548, 715, 169, 541, 58, 32, 28, 39, 813, 541, 832, 730, 613, 406, 809, 528, 511, 603, 567, 57, 815, 9, 668, 342, 760, 145, 892, 581, 259, 255, 820, 667, 14, 710, 624, 225, 124, 926, 516, 95, 336, 103, 801, 10, 874, 28, 295, 336, 508, 924, 441, 520, 585, 76, 810, 433, 531, 514, 328, 98, 467, 921, 633, 158, 802, 523, 923, 790, 705, 111, 833, 312, 170, 793, 671, 361, 302, 629, 301, 731, 20, 334, 590, 237, 683, 220, 180, 520, 91, 579, 763, 920, 385, 601, 713, 101, 500, 181, 327, 74, 474, 394, 667, 692, 929, 19, 189, 491, 247, 591, 815, 494, 302, 831, 430, 172, 147, 353, 723, 430, 21, 725, 623, 630, 366, 215, 67, 700, 914, 624, 917, 641, 200, 215, 433, 80, 571, 520, 772, 143, 340, 243, 384, 570, 417, 910, 146, 724, 324, 692, 500, 372, 477, 76, 100, 125, 820, 840, 186, 582, 280, 713, 846, 409, 13, 50, 463, 509, 98, 258, 686, 742, 157, 678, 438, 443, 910, 838, 107, 126, 363, 207, 49, 448, 736, 385, 118, 228, 386, 108, 675, 865, 865, 580, 630, 461, 884, 310, 789, 295, 146, 417, 616, 423, 476, 326, 579, 524, 290, 482, 649, 814, 646, 880, 130, 103, 691, 603, 926, 349, 912, 360, 236, 675, 738, 489, 695, 775, 916, 625, 699, 680, 474, 705, 358, 388, 34, 410, 544, 68, 666, 924, 589, 923, 841, 838, 425, 911, 138, 670, 489, 27, 43, 358, 140, 782, 930, 400, 29, 932, 404, 73, 642, 787, 317, 167, 221, 298, 831, 113, 473, 408, 262, 791, 497, 623, 633, 449, 738, 744, 136, 404, 306, 236, 437, 651, 228, 557, 105, 154, 474, 541, 687, 210, 908, 552, 616, 777, 644, 425, 190, 416, 459, 632, 603, 498, 32, 158, 374, 861, 286, 929, 237, 291, 121, 527, 893, 329, 551, 417, 880, 608, 400, 833, 315, 119, 192, 499, 127, 607, 138, 853, 111, 188, 930, 137, 495, 843, 422, 510, 358, 493, 248, 695, 646, 643, 427, 641, 926, 605, 59, 95, 126, 108, 482, 884, 791, 265, 568, 795, 851, 78, 256, 855, 737, 123, 78, 700, 249, 605, 379, 467, 330, 222, 910, 96, 377, 416, 268, 608, 916, 99, 450, 543, 567, 697, 829, 262, 704, 689, 363, 637, 575, 92, 329, 533, 471, 795, 717, 625, 348, 316, 651, 461, 347, 862, 418, 488, 340, 543, 22, 27, 390, 300, 159, 353, 509, 241, 510, 849, 851, 908, 465, 92, 521, 694, 70, 932, 670, 771, 212, 533, 70, 226, 114, 160, 495, 347, 925, 388, 594, 556, 587, 23, 11, 686, 320, 53, 608, 279, 123, 159, 164, 180, 348, 391, 672, 34, 639, 780, 213, 320, 762, 53, 840, 562, 836, 279, 762}

    Returns: {1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1 }

  14. 878

    {195, 819, 250, 851, 296, 252, 349, 824, 516, 519, 401, 287, 209, 230, 159, 260, 868, 151, 524, 872, 10, 844, 625, 536, 217, 139, 543, 692, 482, 726, 23, 439, 326, 414, 514, 218, 518, 428, 257, 466, 88, 298, 380, 227, 592, 687, 753, 686, 302, 420, 221, 606, 108, 349, 237, 802, 427, 529, 503, 665, 626, 804, 730, 748, 573, 838, 191, 788, 725, 375, 648, 547, 30, 775, 451, 782, 194, 162, 442, 851, 384, 614, 174, 10, 130, 605, 52, 137, 844, 668, 849, 241, 333, 438, 92, 572, 711, 783, 380, 399, 603, 419, 800, 763, 559, 176, 86, 118, 66, 578, 92, 289, 704, 702, 257, 223, 817, 804, 232, 714, 156, 268, 418, 854, 646, 48, 519, 339, 42, 550, 450, 95, 141, 512, 479, 133, 747, 295, 311, 304, 596, 524, 6, 765, 263, 284, 348, 528, 185, 721, 849, 77, 806, 86, 834, 801, 591, 182, 388, 592, 693, 212, 539, 642, 395, 206, 551, 668, 81, 352, 80, 265, 35, 478, 45, 338, 634, 190, 596, 428, 377, 87, 501, 472, 114, 505, 642, 386, 34, 649, 232, 514, 857, 523, 254, 497, 498, 634, 136, 743, 44, 155, 18, 210, 840, 274, 417, 491, 805, 514, 810, 491, 70, 836, 716, 354, 527, 628, 359, 466, 433, 784, 436, 405, 842, 386, 90, 851, 795, 483, 739, 247, 770, 198, 708, 541, 332, 225, 61, 477, 405, 612, 714, 43, 397, 157, 862, 702, 298, 528, 373, 16, 521, 348, 53, 716, 657, 862, 593, 366, 0, 543, 248, 674, 388, 447, 570, 8, 757, 877, 340, 223, 411, 534, 203, 760, 155, 528, 658, 541, 841, 828, 633, 842, 11, 393, 150, 443, 376, 635, 137, 875, 260, 599, 535, 13, 759, 174, 625, 740, 115, 411, 65, 503, 61, 548, 694, 44, 621, 506, 148, 855, 355, 393, 701, 42, 778, 711, 81, 849, 112, 488, 50, 169, 134, 552, 541, 140, 740, 117, 672, 209, 877, 290, 302, 453, 858, 332, 628, 17, 822, 339, 51, 596, 744, 570, 294, 680, 870, 305, 282, 165, 773, 57, 854, 205, 348, 278, 628, 20, 153, 189, 815, 325, 546, 751, 643, 159, 723, 21, 230, 663, 841, 619, 171, 482, 436, 530, 184, 678, 259, 791, 172, 586, 521, 713, 471, 574, 284, 629, 416, 342, 655, 168, 458, 513, 312, 609, 859, 640, 811, 138, 497, 695, 99, 32, 860, 343, 271, 508, 859, 275, 831, 671, 53, 587, 185, 134, 33, 601, 408, 534, 134, 156, 452, 23, 551, 798, 850, 675, 687, 317, 95, 72, 522, 99, 94, 87, 876, 228, 583, 124, 670, 383, 21, 386, 305, 815, 773, 793, 82, 693, 95, 180, 681, 465, 27, 64, 829, 216, 606, 310, 671, 758, 158, 757, 121, 287, 486, 71, 313, 204, 467, 31, 764, 418, 253, 653, 766, 553, 289, 10, 478, 537, 819, 173, 563, 800, 26, 710, 80, 39, 338, 870, 853, 478, 785, 412, 403, 441, 690, 93, 484, 280, 770, 75, 277, 346, 408, 806, 767, 722, 782, 310, 810, 211, 630, 63, 769, 162, 293, 607, 434, 178, 437, 18, 283, 286, 710, 405, 759, 858, 372, 14, 84, 615, 720, 749, 712, 807, 477, 721, 858, 793, 708, 189, 355, 669, 176, 701, 538, 132, 707, 355, 449, 138, 77, 560, 140, 620, 314, 370, 403, 154, 212, 130, 51, 176, 304, 660, 458, 824, 313, 604, 566, 764, 68, 70, 685, 297, 611, 856, 679, 481, 573, 295, 571, 255, 155, 307, 504, 363, 219, 537, 59, 282, 516, 177, 20, 684, 601, 518, 788, 840, 645, 676, 727, 32, 670, 857, 688, 494, 639, 352, 451, 135, 363, 475, 401, 217, 603, 317, 499, 578, 874, 606, 416, 614, 748, 738, 739, 284, 44, 89, 518, 328, 182, 226, 610, 718, 653, 537, 545, 227, 511, 55, 29, 653, 160, 98, 635, 612, 739, 861, 455, 63, 143, 337, 107, 660, 303, 461, 190, 500, 110, 193, 41, 599, 201, 192, 199, 99, 6, 602, 367, 600, 556, 111, 84, 877, 871, 298, 123, 494, 840, 152, 872, 654, 236, 17, 22, 124, 787, 26, 189, 144, 829, 366, 791, 441, 360, 846, 837, 594, 454, 495, 409, 29, 473, 337, 281, 533, 726, 639, 204, 152, 778, 565, 275, 675, 760, 146, 126, 645, 483, 58, 198, 379, 717, 207, 504, 534, 66, 786, 75, 656, 50, 720, 277, 517, 36, 14, 335, 100, 774, 758, 736, 27, 267, 683, 873, 508, 867, 778, 870, 867, 666, 856, 74, 745, 202, 272, 220, 475, 323, 292, 780, 246, 203, 509, 79, 166, 623, 115, 656, 772, 574, 54, 532, 867, 5, 833, 76, 701, 38, 129, 548, 142, 218, 42, 110, 743, 678, 276, 318, 269, 678, 320, 523, 7, 775, 62, 246, 302, 809, 147, 288, 111, 201, 362, 574, 838, 7, 741, 845, 687, 27, 727, 29, 524, 28, 474, 598, 531, 871, 655, 704, 572, 258, 344, 343, 381, 817, 685, 4, 590, 697, 680, 317, 341, 410, 697, 169, 204, 64, 415, 693, 162, 258, 666, 344, 540, 560, 19, 365, 350, 515, 179, 374, 817, 184, 807, 331, 452, 200, 177, 763, 554, 532, 484, 202, 180, 753, 400, 717, 188, 502, 55, 245, 797, 148, 127, 350, 846, 106, 292, 311, 856, 369, 510, 257, 256, 440, 333, 177, 449, 564, 703, 766, 689, 105, 273, 504, 112, 369, 362, 376, 14, 845, 637, 749, 669, 191, 250, 340, 374, 160, 611, 373, 271, 726, 258, 761, 582, 145, 558, 9, 480, 439, 202, 261, 449, 617, 336, 683, 729, 579, 238, 581, 791, 587, 720, 838, 554, 843, 191, 12, 794, 350, 443, 212, 570, 620, 692, 211, 291, 638, 322, 604, 324, 266, 876, 327, 33, 38, 61, 374, 136, 65, 718, 598, 234, 803, 144, 57, 863, 563, 372, 71, 85, 425, 731, 561, 291, 560, 16, 49, 848, 368, 705, 473, 509, 314, 333, 659, 243, 632, 97, 579, 148, 683, 187, 469, 754, 715, 664, 38, 671, 619, 154, 143, 429, 864, 781, 295, 161, 2, 335, 644, 756, 181, 492, 78, 760, 545, 703, 689, 359, 239, 397, 35, 422, 330, 267, 423, 580, 170, 738, 12, 133, 520, 659, 208, 826, 812, 52, 242, 735, 529, 371, 357, 768, 430, 676, 413, 417, 436, 226, 4, 222, 435, 608, 616, 122, 429, 546, 706, 750, 721, 700, 255, 564, 751, 808, 731, 623, 120, 875, 206, 609, 380, 644, 373, 207, 651, 842, 445, 652, 297, 774, 56, 837, 127, 357, 480, 276, 869, 390, 756, 100, 243, 404, 327, 293, 407, 676, 737, 450, 734, 724, 167, 448, 690, 200, 372, 469, 28, 381, 448, 345, 577, 255, 724, 450, 470, 733, 306, 411, 657, 790, 358, 562, 245, 773, 222, 647, 122, 323, 745, 657, 164, 229, 79, 308, 827, 486, 322, 305, 341, 120, 611, 391, 530, 430, 400, 264, 672, 346, 798, 104, 154, 863, 50, 426, 240, 16, 365, 338, 818, 608, 300, 394, 425, 583, 430, 156, 487, 375, 31, 627, 691, 799, 561, 525, 553, 480, 719, 387, 577, 407, 270, 354, 413, 803, 575, 772, 101, 234, 719, 207, 365, 89, 650, 847, 133, 662, 803, 520, 129, 498, 454, 745, 45, 789, 347, 286, 89, 771, 279, 750, 811, 396, 826, 245, 231, 249, 597, 264, 823, 109, 613, 181, 31, 719, 364, 865, 319, 577, 833, 795, 575, 233, 575, 567, 742, 484, 318, 597, 79, 381, 256, 45, 865, 777, 576, 591, 319, 827, 489, 610, 105, 526, 746, 869, 839, 13, 523, 580, 699, 364, 92, 487, 125, 777, 201, 457, 104, 832, 231, 392, 432, 785, 142, 432, 392, 526, 525, 673, 103, 74, 525, 569, 98, 487, 750, 116, 595, 103, 329, 742, 729, 557, 432, 569, 74, 626, 396, 164, 39, 507, 325, 814, 468, 347, 622, 325, 847}

    {798, 135, 179, 741, 46, 331, 84, 272, 651, 725, 559, 592, 732, 308, 131, 256, 121, 839, 786, 458, 312, 85, 149, 259, 639, 812, 369, 460, 769, 552, 299, 288, 503, 67, 253, 111, 461, 69, 582, 759, 767, 383, 157, 700, 150, 433, 456, 250, 34, 467, 73, 96, 752, 603, 291, 527, 406, 744, 316, 589, 144, 807, 0, 419, 253, 24, 274, 199, 620, 677, 768, 567, 119, 108, 273, 550, 142, 470, 316, 301, 316, 194, 334, 248, 663, 412, 635, 408, 433, 828, 261, 512, 841, 427, 93, 265, 862, 137, 281, 714, 43, 399, 360, 8, 698, 158, 420, 159, 47, 472, 648, 460, 171, 151, 11, 723, 649, 677, 1, 80, 804, 351, 424, 236, 299, 689, 69, 456, 385, 866, 304, 383, 802, 552, 270, 452, 424, 440, 761, 306, 830, 737, 799, 655, 126, 752, 420, 868, 711, 549, 90, 5, 8, 612, 835, 49, 709, 562, 669, 263, 424, 118, 107, 414, 195, 262, 53, 414, 70, 40, 345, 538, 627, 753, 716, 259, 139, 349, 151, 83, 625, 712, 124, 631, 613, 352, 235, 646, 854, 402, 329, 544, 264, 617, 192, 186, 663, 445, 764, 91, 5, 130, 652, 471, 194, 23, 707, 536, 82, 232, 334, 399, 140, 147, 406, 526, 505, 94, 521, 66, 522, 668, 112, 568, 813, 631, 425, 294, 485, 633, 431, 228, 270, 102, 294, 289, 132, 507, 491, 138, 370, 512, 779, 634, 341, 334, 633, 646, 593, 481, 873, 797, 366, 20, 542, 165, 846, 618, 585, 59, 292, 244, 654, 632, 54, 499, 173, 453, 691, 209, 36, 650, 696, 175, 868, 479, 233, 419, 539, 192, 551, 329, 326, 82, 543, 695, 157, 505, 121, 135, 416, 117, 708, 412, 453, 83, 278, 768, 387, 280, 511, 783, 752, 64, 501, 615, 321, 818, 712, 216, 784, 747, 88, 559, 389, 136, 605, 166, 629, 145, 702, 83, 139, 629, 301, 285, 286, 538, 71, 680, 730, 158, 382, 167, 263, 566, 342, 114, 861, 330, 271, 464, 312, 107, 214, 797, 114, 321, 469, 743, 562, 793, 511, 857, 808, 113, 400, 573, 735, 25, 306, 479, 356, 477, 535, 265, 444, 607, 26, 438, 243, 593, 403, 740, 183, 493, 76, 855, 24, 434, 149, 54, 315, 241, 717, 421, 758, 203, 324, 68, 520, 536, 185, 308, 360, 548, 859, 215, 501, 117, 813, 260, 540, 730, 340, 37, 533, 463, 641, 590, 698, 30, 150, 658, 48, 21, 761, 153, 830, 604, 588, 654, 19, 368, 832, 578, 811, 225, 182, 834, 242, 78, 281, 11, 800, 835, 422, 836, 494, 254, 102, 780, 630, 164, 539, 251, 73, 790, 748, 836, 605, 474, 747, 62, 206, 1, 248, 775, 860, 500, 337, 313, 252, 100, 274, 517, 59, 649, 339, 728, 861, 516, 666, 227, 58, 696, 652, 323, 522, 102, 722, 183, 285, 218, 874, 571, 283, 757, 529, 131, 278, 594, 388, 819, 682, 738, 149, 805, 165, 584, 618, 205, 415, 279, 229, 682, 402, 769, 211, 615, 398, 456, 658, 76, 725, 418, 395, 311, 616, 659, 145, 1, 17, 784, 223, 119, 378, 547, 378, 94, 614, 809, 665, 19, 816, 342, 722, 780, 472, 568, 555, 179, 269, 636, 643, 336, 242, 415, 871, 443, 390, 422, 703, 113, 860, 225, 370, 236, 18, 402, 25, 161, 428, 447, 873, 794, 353, 30, 566, 830, 779, 3, 549, 46, 623, 128, 126, 448, 427, 249, 544, 492, 815, 495, 451, 789, 303, 384, 454, 535, 741, 195, 91, 394, 310, 584, 781, 694, 301, 118, 736, 828, 187, 178, 91, 783, 459, 792, 37, 874, 667, 648, 681, 788, 599, 344, 565, 87, 423, 131, 72, 496, 677, 556, 679, 607, 299, 483, 674, 790, 77, 733, 754, 715, 638, 665, 293, 589, 105, 208, 805, 251, 239, 770, 6, 636, 645, 651, 624, 609, 152, 247, 371, 280, 331, 493, 108, 128, 115, 217, 762, 431, 660, 210, 106, 631, 471, 641, 447, 481, 445, 266, 835, 508, 763, 588, 697, 809, 801, 694, 184, 728, 794, 0, 174, 178, 643, 356, 650, 219, 7, 502, 24, 636, 584, 43, 853, 864, 601, 25, 814, 351, 320, 707, 2, 233, 630, 727, 240, 410, 692, 736, 564, 68, 389, 755, 147, 744, 572, 576, 816, 513, 495, 272, 328, 401, 161, 444, 624, 395, 309, 389, 499, 656, 335, 67, 619, 776, 55, 69, 324, 266, 802, 632, 863, 371, 210, 146, 238, 474, 296, 462, 358, 553, 123, 824, 208, 12, 15, 196, 749, 431, 193, 193, 624, 290, 67, 594, 3, 755, 423, 506, 343, 755, 850, 700, 571, 715, 120, 146, 228, 713, 78, 519, 122, 679, 163, 93, 704, 3, 806, 96, 724, 384, 198, 426, 251, 175, 463, 728, 506, 688, 254, 476, 531, 463, 186, 246, 273, 866, 834, 321, 106, 640, 816, 9, 353, 485, 368, 470, 72, 363, 533, 590, 97, 180, 110, 216, 196, 754, 767, 825, 565, 688, 88, 81, 812, 73, 446, 296, 853, 446, 90, 488, 169, 729, 661, 346, 362, 52, 356, 101, 685, 667, 385, 40, 167, 557, 670, 303, 222, 221, 531, 613, 421, 65, 556, 866, 290, 455, 602, 731, 57, 771, 361, 710, 9, 684, 792, 462, 517, 307, 667, 588, 32, 277, 709, 56, 438, 705, 330, 86, 101, 705, 410, 459, 684, 166, 845, 434, 407, 475, 799, 34, 464, 709, 822, 215, 822, 735, 181, 465, 426, 751, 829, 502, 96, 287, 464, 224, 175, 737, 318, 221, 823, 547, 597, 288, 810, 695, 457, 589, 488, 872, 85, 48, 473, 224, 406, 554, 282, 275, 581, 4, 766, 821, 141, 540, 143, 199, 713, 375, 132, 279, 513, 642, 647, 49, 585, 515, 172, 435, 732, 672, 127, 442, 527, 485, 662, 128, 825, 239, 550, 598, 219, 377, 641, 421, 855, 285, 848, 638, 843, 398, 51, 681, 58, 129, 490, 36, 568, 618, 490, 358, 786, 315, 440, 876, 409, 850, 364, 500, 172, 515, 482, 675, 15, 276, 367, 776, 47, 224, 123, 171, 244, 163, 510, 772, 762, 544, 585, 507, 62, 466, 22, 875, 662, 765, 732, 235, 782, 558, 581, 825, 63, 682, 269, 580, 549, 197, 826, 489, 734, 492, 852, 490, 789, 616, 792, 808, 640, 622, 696, 545, 109, 314, 637, 579, 297, 864, 326, 718, 848, 113, 109, 353, 247, 15, 75, 262, 486, 608, 733, 359, 173, 444, 583, 496, 252, 336, 2, 509, 600, 163, 787, 837, 698, 397, 637, 41, 820, 214, 699, 196, 587, 197, 765, 229, 190, 385, 382, 532, 244, 170, 476, 300, 774, 644, 47, 226, 354, 40, 235, 186, 28, 367, 327, 392, 261, 706, 437, 821, 205, 357, 467, 561, 781, 664, 393, 268, 429, 187, 777, 674, 818, 582, 119, 691, 267, 673, 153, 460, 821, 377, 322, 241, 776, 621, 459, 621, 563, 160, 394, 439, 214, 307, 328, 617, 215, 843, 382, 785, 213, 391, 497, 231, 801, 446, 213, 664, 409, 787, 795, 170, 376, 141, 558, 576, 661, 188, 332, 833, 602, 41, 796, 865, 510, 820, 820, 60, 103, 200, 852, 391, 404, 320, 249, 461, 462, 390, 37, 442, 22, 455, 183, 586, 188, 831, 300, 104, 309, 417, 33, 555, 97, 468, 746, 852, 441, 315, 168, 839, 627, 361, 197, 496, 555, 827, 567, 771, 268, 586, 361, 706, 779, 56, 351, 493, 230, 686, 814, 35, 125, 46, 437, 756, 823, 457, 234, 319, 762, 690, 686, 435, 125, 813, 168, 238, 413, 546, 647, 530, 734, 626, 345, 498, 398, 869, 661, 591, 489, 283, 465, 13, 600, 796, 309, 476, 387, 396, 60, 404, 542, 240, 832, 844, 116, 746, 116, 378, 610, 831, 213, 220, 542, 468, 557, 347, 220, 796, 237, 60, 39, 262, 723, 379, 673, 237, 742, 595, 847, 98, 569, 622, 595, 379, 699}

    Returns: {0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }

  15. 984

    {923, 142, 703, 825, 176, 761, 440, 204, 541, 549, 790, 384, 214, 563, 339, 819, 187, 679, 212, 608, 331, 352, 373, 111, 832, 78, 632, 721, 64, 483, 892, 862, 977, 626, 959, 969, 777, 428, 971, 743, 347, 878, 913, 130, 952, 541, 215, 100, 100, 59, 895, 768, 769, 726, 447, 832, 468, 440, 863, 589, 385, 100, 580, 332, 450, 150, 505, 887, 548, 158, 437, 121, 521, 573, 117, 789, 809, 577, 584, 695, 311, 883, 875, 851, 350, 781, 744, 220, 58, 956, 18, 418, 96, 105, 79, 705, 445, 108, 566, 47, 744, 585, 306, 357, 644, 232, 31, 555, 428, 165, 92, 418, 608, 625, 310, 649, 404, 416, 734, 278, 246, 204, 611, 389, 384, 810, 573, 377, 516, 642, 429, 610, 930, 869, 339, 964, 681, 158, 566, 594, 309, 311, 690, 144, 688, 709, 572, 584, 695, 307, 86, 574, 682, 981, 732, 460, 414, 695, 746, 588, 458, 116, 891, 270, 135, 509, 580, 52, 103, 880, 600, 109, 247, 158, 81, 421, 344, 755, 383, 199, 640, 264, 293, 222, 403, 930, 444, 545, 829, 511, 114, 128, 569, 822, 657, 576, 797, 939, 293, 543, 943, 622, 796, 527, 83, 456, 227, 766, 413, 755, 807, 732, 881, 174, 420, 773, 774, 144, 809, 33, 763, 819, 652, 691, 723, 711, 274, 339, 87, 14, 915, 136, 358, 753, 103, 944, 327, 248, 968, 461, 805, 681, 506, 354, 740, 669, 221, 487, 202, 732, 722, 559, 980, 337, 442, 401, 485, 195, 894, 61, 72, 664, 774, 482, 734, 892, 314, 908, 958, 926, 541, 374, 128, 40, 366, 703, 521, 937, 99, 141, 824, 713, 163, 643, 347, 452, 228, 42, 350, 136, 550, 456, 805, 761, 921, 592, 93, 30, 25, 209, 343, 265, 346, 686, 258, 659, 806, 523, 838, 116, 806, 714, 25, 274, 239, 251, 619, 888, 157, 306, 545, 342, 761, 331, 567, 151, 606, 180, 646, 548, 274, 726, 241, 823, 85, 786, 198, 593, 568, 377, 616, 147, 653, 545, 317, 4, 297, 174, 877, 451, 676, 699, 309, 793, 316, 716, 33, 237, 442, 147, 709, 646, 876, 260, 123, 477, 124, 820, 409, 242, 102, 907, 628, 629, 272, 650, 254, 678, 213, 17, 323, 727, 170, 45, 313, 708, 752, 659, 73, 666, 253, 207, 490, 50, 37, 536, 556, 737, 223, 736, 375, 32, 480, 105, 227, 835, 821, 537, 160, 642, 189, 524, 282, 194, 268, 28, 637, 20, 609, 218, 194, 820, 189, 554, 24, 843, 506, 133, 672, 303, 790, 863, 357, 900, 46, 877, 706, 11, 542, 828, 979, 921, 446, 0, 328, 510, 321, 131, 580, 208, 110, 53, 589, 851, 208, 562, 367, 757, 810, 714, 924, 23, 854, 199, 234, 742, 920, 783, 56, 338, 595, 472, 692, 553, 593, 681, 611, 383, 490, 679, 564, 107, 915, 38, 565, 796, 119, 97, 384, 546, 435, 171, 885, 157, 441, 680, 76, 862, 257, 280, 298, 272, 286, 780, 382, 552, 359, 434, 579, 544, 623, 433, 235, 959, 622, 707, 65, 206, 667, 90, 290, 833, 71, 931, 348, 95, 425, 547, 216, 380, 470, 292, 720, 418, 721, 678, 363, 222, 285, 474, 336, 277, 786, 825, 488, 728, 295, 148, 365, 345, 791, 266, 673, 863, 282, 805, 683, 574, 45, 18, 450, 246, 484, 211, 349, 288, 512, 332, 106, 970, 898, 32, 646, 38, 595, 112, 671, 190, 83, 633, 566, 401, 120, 878, 30, 871, 376, 755, 342, 206, 316, 879, 697, 515, 630, 791, 26, 780, 723, 396, 817, 471, 858, 815, 277, 737, 586, 789, 468, 469, 854, 917, 107, 544, 757, 314, 298, 172, 198, 451, 392, 60, 964, 974, 301, 686, 971, 815, 875, 847, 740, 945, 415, 563, 181, 297, 488, 290, 402, 914, 327, 15, 943, 933, 337, 616, 930, 186, 474, 604, 927, 664, 88, 6, 585, 643, 575, 586, 156, 285, 938, 920, 565, 821, 127, 23, 730, 66, 650, 666, 587, 670, 76, 208, 438, 229, 741, 403, 13, 954, 885, 453, 679, 978, 210, 314, 878, 644, 232, 41, 725, 300, 18, 207, 752, 109, 160, 856, 849, 32, 110, 74, 814, 55, 313, 527, 363, 464, 345, 578, 392, 484, 95, 388, 248, 50, 710, 976, 893, 916, 939, 623, 569, 67, 676, 601, 669, 966, 730, 611, 27, 550, 307, 465, 239, 653, 25, 191, 914, 478, 255, 47, 957, 706, 909, 395, 971, 404, 266, 364, 351, 531, 524, 522, 228, 852, 586, 241, 15, 742, 279, 74, 900, 84, 707, 447, 397, 726, 942, 493, 232, 430, 205, 117, 396, 765, 535, 838, 137, 229, 895, 949, 784, 407, 38, 612, 399, 626, 941, 264, 621, 211, 772, 814, 738, 207, 795, 365, 802, 605, 262, 485, 370, 305, 693, 56, 700, 555, 115, 403, 245, 738, 968, 361, 607, 938, 850, 514, 16, 756, 308, 564, 636, 796, 500, 613, 149, 446, 485, 84, 651, 827, 605, 833, 19, 296, 421, 467, 901, 495, 250, 497, 901, 787, 708, 477, 649, 468, 291, 152, 641, 308, 3, 892, 122, 316, 893, 125, 564, 91, 981, 103, 281, 773, 215, 419, 539, 724, 694, 249, 67, 215, 37, 924, 857, 286, 550, 268, 637, 80, 193, 279, 75, 319, 406, 299, 617, 477, 499, 210, 620, 538, 130, 195, 949, 929, 146, 854, 701, 762, 571, 702, 105, 192, 367, 286, 887, 623, 731, 634, 437, 529, 453, 393, 577, 869, 334, 880, 168, 763, 600, 101, 567, 958, 592, 367, 146, 653, 516, 382, 366, 150, 8, 269, 99, 872, 577, 390, 46, 824, 792, 298, 449, 54, 837, 522, 756, 13, 369, 258, 682, 119, 305, 134, 769, 657, 235, 56, 508, 657, 859, 218, 812, 539, 301, 50, 684, 265, 3, 398, 249, 395, 704, 594, 836, 330, 620, 44, 117, 353, 719, 171, 334, 453, 244, 874, 727, 55, 890, 966, 935, 192, 836, 880, 247, 79, 162, 449, 873, 933, 648, 81, 6, 437, 866, 129, 14, 51, 602, 276, 962, 570, 634, 8, 663, 777, 638, 463, 983, 10, 74, 831, 97, 495, 70, 724, 579, 672, 865, 354, 493, 461, 213, 355, 813, 549, 185, 130, 422, 663, 323, 975, 390, 87, 150, 155, 355, 813, 591, 668, 690, 380, 668, 261, 423, 80, 926, 131, 183, 467, 602, 643, 897, 218, 184, 353, 134, 697, 944, 557, 672, 394, 214, 525, 763, 955, 62, 938, 519, 739, 244, 530, 283, 460, 481, 704, 598, 517, 325, 932, 711, 39, 975, 349, 473, 836, 54, 140, 80, 427, 315, 277, 864, 9, 258, 187, 528, 271, 560, 913, 155, 867, 678, 954, 206, 906, 178, 304, 357, 169, 599, 479, 68, 90, 833, 82, 383, 465, 778, 931, 58, 176, 610, 122, 475, 33, 419, 66, 162, 632, 849, 579, 961, 949, 952, 281, 963, 291, 910, 846, 325, 120, 190, 231, 324, 882, 768, 395, 599, 356, 159, 36, 184, 333, 399, 473, 658, 181, 804, 861, 16, 427, 561, 800, 745, 783, 329, 756, 567, 823, 911, 425, 126, 317, 571, 841, 236, 446, 845, 99, 196, 935, 436, 932, 69, 517, 745, 179, 209, 319, 414, 299, 830, 570, 554, 347, 344, 684, 410, 871, 630, 0, 486, 662, 569, 510, 132, 928, 30, 639, 170, 501, 598, 349, 266, 787, 691, 394, 762, 256, 203, 259, 474, 259, 770, 649, 346, 66, 125, 748, 787, 356, 923, 687, 465, 665, 380, 824, 533, 86, 129, 553, 205, 536, 531, 144, 910, 19, 754, 0, 422, 22, 801, 910, 148, 528, 335, 114, 698, 927, 425, 8, 478, 495, 673, 911, 594, 457, 540, 257, 247, 685, 238, 502, 708, 800, 98, 133, 882, 68, 558, 140, 705, 691, 39, 386, 284, 520, 840, 793, 20, 877, 175, 19, 850, 655, 532, 955, 271, 639, 972, 481, 137, 326, 711, 83, 362, 887, 481, 848, 200, 865, 386, 698, 203, 191, 369, 163, 811, 852, 733, 355, 738, 170, 183, 288, 438, 613, 898, 183, 591, 613, 712, 257, 665, 896, 750, 201, 369, 731, 652, 498, 166, 747, 173, 273, 1, 947, 212, 175, 59, 618, 934, 340, 534, 2, 132, 844, 57, 400, 680, 583, 251, 735, 415, 972, 961, 736, 534, 733, 368, 448, 111, 152, 533, 312, 758, 280, 729, 506, 152, 188, 426, 165, 917, 427, 29, 338, 692, 655, 603, 365, 78, 526, 853, 410, 430, 782, 459, 762, 705, 61, 361, 295, 960, 609, 391, 926, 424, 352, 173, 417, 498, 408, 955, 826, 438, 16, 214, 551, 886, 431, 387, 430, 426, 378, 866, 765, 934, 597, 947, 826, 507, 489, 143, 982, 660, 946, 647, 412, 638, 764, 760, 29, 812, 655, 884, 352, 760, 387, 729, 675, 884, 720, 922, 687, 473, 251, 603, 647, 64, 982, 454, 263, 230, 230}

    {177, 35, 864, 828, 710, 82, 401, 904, 4, 511, 888, 631, 633, 414, 807, 604, 320, 913, 202, 753, 903, 666, 800, 475, 548, 774, 479, 556, 547, 860, 34, 411, 423, 685, 313, 540, 402, 160, 41, 153, 303, 959, 375, 279, 435, 799, 908, 614, 582, 563, 627, 851, 874, 221, 497, 124, 482, 267, 186, 842, 864, 508, 407, 581, 888, 823, 197, 964, 433, 855, 568, 306, 311, 969, 202, 576, 664, 377, 180, 444, 439, 592, 407, 256, 246, 525, 172, 590, 504, 775, 471, 954, 370, 885, 96, 12, 847, 810, 641, 979, 753, 847, 325, 68, 165, 540, 744, 942, 460, 946, 703, 973, 650, 322, 294, 816, 889, 609, 626, 614, 40, 292, 233, 948, 411, 523, 212, 965, 204, 127, 723, 141, 385, 894, 642, 504, 503, 294, 435, 211, 281, 322, 88, 576, 434, 326, 546, 322, 167, 234, 235, 45, 909, 331, 404, 929, 557, 692, 58, 562, 210, 742, 509, 22, 867, 110, 282, 109, 178, 950, 894, 222, 748, 91, 119, 510, 289, 342, 811, 234, 371, 812, 937, 798, 855, 827, 108, 766, 665, 663, 529, 318, 612, 654, 839, 853, 245, 327, 575, 35, 850, 221, 784, 360, 293, 674, 565, 405, 573, 597, 689, 759, 94, 654, 818, 962, 226, 781, 752, 590, 590, 767, 164, 614, 619, 96, 814, 512, 368, 113, 284, 262, 503, 654, 904, 490, 829, 699, 483, 296, 731, 700, 855, 858, 139, 419, 13, 619, 831, 523, 470, 919, 876, 351, 164, 360, 116, 261, 62, 375, 973, 903, 656, 546, 709, 406, 254, 276, 70, 826, 136, 31, 596, 797, 537, 907, 354, 802, 740, 556, 899, 106, 667, 328, 825, 149, 31, 770, 514, 934, 927, 12, 750, 471, 979, 903, 318, 391, 458, 147, 122, 445, 167, 154, 491, 351, 434, 915, 91, 969, 411, 139, 41, 154, 49, 595, 449, 249, 480, 494, 509, 872, 779, 108, 795, 779, 409, 662, 977, 547, 5, 668, 980, 568, 832, 683, 70, 397, 159, 245, 956, 746, 771, 154, 124, 195, 581, 201, 153, 458, 767, 416, 798, 520, 455, 837, 390, 151, 197, 775, 788, 168, 911, 428, 129, 716, 820, 898, 767, 543, 575, 443, 157, 722, 40, 426, 967, 846, 686, 252, 76, 713, 341, 690, 713, 776, 113, 341, 450, 957, 142, 635, 253, 1, 803, 5, 615, 515, 7, 694, 606, 292, 5, 702, 775, 883, 229, 973, 27, 431, 829, 712, 364, 696, 684, 651, 941, 897, 706, 456, 628, 491, 228, 494, 770, 873, 87, 618, 504, 141, 868, 511, 912, 433, 521, 49, 764, 374, 817, 201, 500, 4, 166, 856, 604, 125, 421, 138, 919, 501, 759, 570, 227, 255, 809, 350, 948, 677, 480, 53, 904, 728, 278, 75, 392, 12, 486, 965, 43, 803, 827, 791, 454, 606, 630, 859, 49, 89, 127, 224, 7, 718, 381, 881, 429, 264, 343, 67, 371, 444, 943, 673, 408, 616, 44, 524, 115, 278, 602, 168, 21, 674, 937, 759, 21, 741, 950, 309, 869, 670, 81, 353, 361, 799, 533, 515, 749, 719, 420, 689, 543, 290, 479, 859, 128, 722, 801, 870, 765, 114, 440, 636, 34, 539, 581, 813, 388, 272, 670, 113, 7, 977, 772, 895, 336, 303, 651, 674, 788, 393, 47, 167, 572, 388, 284, 244, 11, 645, 26, 177, 260, 225, 238, 562, 94, 123, 332, 52, 908, 698, 11, 677, 396, 585, 161, 831, 121, 71, 792, 900, 389, 688, 491, 156, 362, 442, 3, 176, 860, 627, 320, 777, 343, 512, 452, 42, 288, 743, 102, 697, 667, 483, 185, 957, 502, 936, 429, 24, 876, 487, 881, 381, 610, 669, 315, 629, 233, 156, 715, 385, 409, 360, 828, 513, 268, 889, 552, 300, 633, 498, 28, 155, 596, 10, 93, 693, 621, 138, 615, 261, 296, 676, 15, 671, 640, 64, 469, 858, 704, 525, 891, 269, 461, 503, 682, 924, 358, 710, 683, 373, 265, 555, 518, 751, 439, 180, 420, 574, 364, 297, 929, 118, 596, 612, 237, 441, 798, 677, 397, 254, 145, 519, 617, 693, 899, 106, 801, 389, 161, 182, 179, 410, 233, 472, 625, 505, 714, 940, 149, 302, 743, 172, 182, 26, 656, 393, 94, 621, 199, 169, 185, 432, 472, 601, 89, 905, 868, 965, 439, 310, 797, 138, 250, 702, 398, 496, 84, 225, 956, 60, 835, 300, 879, 815, 636, 620, 239, 739, 366, 102, 860, 42, 262, 601, 535, 330, 530, 701, 255, 250, 730, 953, 587, 772, 819, 587, 841, 252, 578, 492, 557, 71, 803, 484, 746, 443, 402, 179, 799, 273, 589, 373, 69, 328, 627, 741, 53, 445, 95, 958, 496, 193, 163, 505, 423, 399, 781, 916, 899, 386, 107, 750, 193, 104, 628, 382, 500, 724, 443, 63, 608, 785, 267, 914, 310, 522, 688, 126, 641, 526, 85, 307, 936, 721, 968, 552, 572, 907, 835, 348, 717, 260, 701, 951, 794, 340, 696, 685, 270, 89, 784, 660, 412, 408, 905, 645, 508, 494, 605, 39, 118, 771, 862, 470, 23, 559, 807, 198, 240, 305, 518, 600, 372, 838, 856, 804, 757, 975, 486, 960, 773, 879, 482, 85, 842, 834, 318, 452, 187, 321, 487, 919, 220, 785, 118, 115, 802, 961, 464, 320, 475, 492, 374, 499, 359, 551, 749, 237, 872, 36, 771, 432, 451, 97, 9, 737, 34, 134, 936, 901, 893, 754, 387, 301, 321, 780, 37, 793, 376, 153, 846, 324, 779, 223, 766, 200, 640, 241, 275, 280, 464, 400, 951, 622, 560, 75, 794, 28, 379, 363, 760, 978, 92, 220, 529, 287, 963, 571, 645, 870, 348, 358, 980, 359, 276, 513, 324, 63, 104, 727, 916, 747, 36, 304, 209, 242, 171, 381, 104, 942, 712, 963, 242, 466, 902, 334, 225, 844, 528, 1, 845, 873, 217, 588, 79, 213, 769, 830, 804, 178, 944, 890, 905, 751, 618, 638, 112, 200, 607, 983, 843, 659, 725, 123, 844, 839, 406, 806, 489, 837, 516, 874, 462, 51, 231, 661, 69, 333, 189, 341, 346, 447, 972, 259, 370, 699, 174, 530, 488, 728, 637, 188, 897, 21, 312, 248, 217, 162, 518, 792, 906, 270, 137, 696, 889, 493, 146, 715, 561, 336, 871, 24, 891, 852, 432, 462, 538, 376, 275, 931, 294, 783, 368, 344, 10, 700, 839, 54, 6, 848, 333, 302, 857, 542, 951, 337, 789, 629, 291, 786, 52, 896, 758, 584, 718, 72, 588, 912, 694, 923, 145, 182, 44, 356, 177, 902, 758, 689, 718, 578, 890, 861, 734, 60, 661, 553, 231, 394, 631, 768, 947, 184, 88, 462, 639, 55, 978, 507, 226, 778, 9, 560, 544, 492, 794, 379, 935, 424, 285, 808, 554, 867, 330, 830, 953, 559, 14, 821, 561, 928, 463, 632, 302, 725, 181, 747, 238, 295, 776, 952, 593, 842, 219, 537, 906, 918, 822, 269, 46, 72, 707, 822, 648, 379, 145, 896, 635, 513, 436, 534, 531, 51, 164, 463, 142, 948, 845, 319, 818, 542, 754, 974, 289, 502, 101, 599, 624, 197, 527, 917, 126, 391, 617, 98, 532, 405, 983, 120, 326, 875, 175, 338, 496, 745, 203, 902, 289, 224, 976, 77, 317, 634, 192, 20, 582, 631, 329, 840, 422, 648, 400, 287, 658, 312, 962, 267, 921, 840, 748, 644, 615, 870, 86, 790, 93, 933, 536, 514, 131, 467, 455, 459, 283, 941, 151, 63, 190, 205, 966, 981, 868, 405, 223, 788, 717, 48, 671, 715, 283, 583, 372, 591, 455, 476, 62, 843, 48, 219, 188, 252, 436, 27, 35, 607, 398, 499, 424, 818, 139, 749, 603, 795, 526, 501, 785, 140, 335, 928, 662, 912, 532, 159, 466, 883, 271, 224, 661, 335, 413, 253, 417, 909, 90, 675, 57, 886, 191, 48, 135, 582, 161, 974, 849, 135, 17, 371, 719, 598, 275, 735, 169, 625, 519, 739, 970, 538, 497, 29, 717, 323, 17, 476, 77, 817, 243, 478, 970, 656, 121, 273, 624, 658, 920, 841, 148, 143, 476, 82, 112, 778, 457, 315, 454, 219, 624, 166, 953, 866, 635, 216, 736, 680, 507, 660, 520, 583, 196, 2, 413, 77, 196, 2, 940, 243, 133, 431, 372, 489, 939, 415, 441, 549, 950, 558, 816, 776, 111, 469, 132, 466, 967, 733, 857, 735, 976, 378, 243, 22, 417, 967, 287, 729, 457, 945, 882, 459, 73, 764, 216, 345, 217, 378, 922, 816, 329, 960, 92, 932, 716, 720, 834, 448, 59, 517, 782, 782, 101, 647, 256, 57, 186, 448, 751, 946, 43, 340, 236, 78, 918, 945, 861, 982, 362, 226, 597, 925, 194, 918, 853, 308, 61, 98, 143, 808, 940, 416, 558, 412, 848, 834, 173, 811, 886, 236, 884, 65, 230, 65, 675, 304, 922, 240, 263, 299, 687, 535, 652, 43, 73, 551, 865, 240, 808, 925, 263, 925}

    Returns: {0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1 }

  16. 884

    {114, 671, 418, 76, 240, 351, 171, 627, 649, 199, 200, 415, 167, 538, 248, 210, 182, 253, 782, 461, 621, 552, 833, 314, 249, 393, 262, 122, 217, 132, 751, 140, 150, 842, 829, 702, 772, 93, 497, 195, 81, 285, 480, 632, 834, 700, 512, 751, 486, 442, 686, 553, 506, 179, 590, 320, 480, 275, 721, 491, 411, 598, 655, 782, 79, 817, 163, 687, 328, 497, 501, 110, 642, 205, 565, 439, 757, 798, 80, 550, 749, 753, 634, 108, 686, 514, 534, 478, 228, 720, 220, 162, 299, 778, 524, 444, 685, 45, 195, 198, 646, 710, 147, 152, 382, 21, 851, 307, 440, 194, 589, 750, 347, 152, 40, 152, 297, 533, 529, 605, 432, 808, 6, 393, 726, 156, 412, 18, 24, 350, 695, 146, 178, 812, 490, 855, 422, 757, 605, 314, 260, 528, 454, 227, 640, 448, 783, 32, 811, 796, 717, 855, 668, 830, 203, 764, 510, 573, 752, 873, 819, 500, 695, 542, 642, 33, 670, 298, 454, 551, 504, 201, 630, 500, 310, 739, 299, 831, 754, 581, 217, 463, 451, 41, 262, 117, 475, 626, 206, 10, 466, 784, 138, 20, 10, 403, 17, 774, 679, 664, 438, 844, 613, 850, 181, 297, 193, 739, 538, 434, 431, 211, 122, 456, 308, 139, 330, 390, 674, 79, 454, 744, 623, 132, 846, 598, 238, 839, 374, 70, 658, 693, 507, 696, 759, 571, 847, 823, 632, 471, 658, 665, 692, 33, 209, 386, 120, 44, 290, 260, 185, 389, 288, 710, 322, 478, 299, 145, 448, 650, 265, 817, 491, 704, 271, 820, 486, 121, 258, 72, 101, 170, 480, 165, 509, 422, 523, 21, 618, 41, 222, 845, 498, 883, 385, 621, 264, 194, 665, 52, 534, 371, 4, 161, 583, 263, 502, 334, 17, 748, 189, 19, 331, 287, 537, 642, 269, 405, 523, 883, 29, 820, 432, 750, 663, 694, 87, 318, 566, 113, 319, 403, 758, 177, 700, 197, 408, 825, 447, 18, 431, 60, 700, 53, 466, 788, 6, 224, 670, 386, 184, 782, 101, 733, 361, 533, 250, 428, 577, 517, 366, 227, 421, 821, 810, 109, 611, 708, 635, 816, 532, 650, 344, 392, 212, 61, 773, 247, 340, 838, 52, 282, 240, 732, 36, 228, 663, 403, 323, 305, 729, 720, 335, 52, 228, 466, 548, 404, 828, 335, 724, 365, 721, 239, 256, 791, 8, 852, 673, 857, 408, 453, 787, 585, 818, 690, 676, 672, 155, 173, 768, 254, 95, 113, 68, 172, 79, 574, 429, 736, 709, 847, 83, 9, 415, 103, 241, 718, 866, 390, 319, 486, 176, 318, 521, 842, 105, 869, 838, 853, 459, 727, 849, 459, 200, 702, 131, 115, 295, 881, 62, 306, 569, 619, 565, 705, 872, 546, 479, 131, 187, 500, 573, 241, 128, 30, 562, 254, 90, 664, 146, 369, 388, 76, 495, 517, 141, 460, 385, 190, 723, 306, 559, 424, 206, 75, 305, 250, 595, 442, 159, 864, 117, 815, 740, 628, 402, 225, 730, 114, 398, 59, 668, 75, 859, 585, 551, 225, 50, 375, 223, 198, 322, 677, 468, 501, 193, 614, 49, 405, 286, 108, 202, 159, 831, 725, 401, 753, 56, 333, 692, 770, 540, 714, 420, 520, 358, 317, 222, 741, 587, 870, 39, 865, 93, 391, 140, 246, 587, 321, 28, 453, 68, 502, 673, 157, 874, 771, 857, 11, 688, 138, 777, 101, 746, 631, 242, 576, 112, 91, 255, 514, 207, 653, 261, 612, 822, 370, 374, 781, 545, 441, 185, 392, 195, 360, 879, 263, 611, 208, 474, 154, 413, 383, 745, 780, 83, 436, 239, 776, 527, 206, 487, 329, 402, 123, 659, 44, 713, 715, 63, 216, 321, 809, 305, 549, 122, 280, 637, 265, 794, 791, 515, 229, 281, 28, 492, 769, 432, 129, 518, 566, 822, 850, 685, 602, 429, 346, 590, 57, 160, 243, 410, 185, 358, 606, 25, 107, 19, 838, 92, 3, 57, 413, 617, 548, 40, 601, 376, 440, 822, 693, 553, 707, 383, 166, 773, 654, 735, 268, 379, 770, 843, 215, 9, 554, 464, 706, 463, 843, 858, 637, 213, 436, 619, 813, 46, 749, 494, 820, 138, 877, 712, 424, 284, 288, 698, 717, 82, 868, 522, 530, 681, 846, 609, 479, 883, 549, 801, 513, 141, 362, 99, 167, 175, 767, 35, 74, 324, 142, 235, 833, 142, 208, 89, 350, 818, 235, 255, 736, 761, 210, 437, 120, 816, 742, 295, 467, 494, 375, 841, 521, 55, 302, 384, 730, 519, 71, 33, 461, 142, 639, 123, 251, 324, 292, 302, 742, 777, 201, 69, 874, 245, 570, 188, 824, 32, 731, 697, 284, 830, 203, 420, 68, 58, 841, 631, 856, 20, 88, 174, 163, 532, 851, 496, 507, 669, 524, 606, 563, 834, 848, 371, 291, 155, 844, 711, 604, 861, 27, 652, 511, 572, 124, 226, 797, 267, 494, 850, 539, 434, 599, 840, 600, 808, 75, 39, 437, 854, 693, 666, 323, 659, 249, 683, 90, 729, 779, 31, 537, 802, 412, 28, 546, 268, 481, 550, 586, 530, 277, 857, 72, 445, 515, 270, 784, 478, 672, 611, 130, 353, 496, 863, 118, 125, 202, 111, 737, 231, 498, 399, 416, 607, 175, 766, 192, 694, 339, 641, 481, 86, 769, 591, 256, 789, 47, 651, 220, 263, 289, 556, 532, 792, 874, 666, 789, 764, 522, 320, 307, 212, 226, 735, 417, 252, 303, 758, 785, 224, 709, 22, 36, 438, 574, 129, 419, 384, 395, 542, 763, 616, 599, 61, 780, 100, 114, 284, 458, 798, 108, 220, 827, 583, 803, 94, 756, 84, 796, 472, 705, 416, 303, 307, 697, 776, 310, 70, 559, 531, 208, 286, 570, 632, 496, 814, 197, 259, 578, 760, 507, 593, 441, 88, 661, 42, 451, 610, 771, 336, 143, 860, 859, 691, 745, 513, 626, 651, 537, 326, 457, 156, 436, 7, 440, 389, 786, 235, 835, 763, 425, 14, 7, 701, 348, 547, 705, 298, 726, 285, 96, 774, 421, 172, 382, 812, 80, 862, 289, 125, 69, 389, 651, 323, 154, 394, 755, 673, 729, 778, 582, 723, 601, 293, 505, 90, 59, 70, 682, 71, 719, 5, 540, 191, 543, 746, 731, 622, 804, 399, 499, 469, 16, 60, 792, 435, 669, 396, 548, 439, 687, 774, 832, 325, 1, 218, 109, 94, 286, 196, 302, 583, 124, 300, 38, 43, 314, 136, 648, 309, 177, 689, 652, 275, 300, 837, 600, 137, 554, 242, 127, 2, 232, 763, 662, 638, 793, 340, 107, 0, 123, 97, 77, 636, 656, 477, 578, 449, 748, 356, 26, 213, 336, 649, 45, 540, 504, 15, 488, 596, 646, 861, 846, 172, 35, 384, 672, 547, 593, 192, 584, 580, 860, 854, 121, 555, 544, 756, 316, 456, 853, 174, 414, 799, 196, 179, 53, 43, 493, 352, 580, 738, 12, 867, 882, 128, 347, 42, 42, 679, 638, 301, 608, 158, 136, 528, 199, 712, 272, 316, 270, 95, 764, 49, 462, 34, 636, 775, 15, 663, 121, 35, 649, 765, 761, 174, 49, 376, 472, 391, 387, 803, 26, 274, 370, 418, 281, 199, 45, 366, 877, 805, 866, 691, 493, 34, 30, 341, 4, 802, 64, 279, 591, 608, 232, 135, 619, 727, 149, 72, 327, 804, 204, 462, 684, 798, 469, 257, 270, 266, 775, 294, 98, 882, 246, 96, 274, 437, 339, 414, 747, 421, 182, 309, 861, 781, 441, 135, 175, 356, 580, 13, 373, 716, 244, 128, 636, 879, 669, 338, 543, 508, 372, 313, 426, 233, 86, 265, 485, 391, 409, 800, 426, 641, 449, 293, 661, 592, 204, 23, 613, 169, 625, 315, 656, 14, 625, 31, 678, 755, 690, 622, 516, 634, 845, 825, 469, 625, 296, 65, 790, 313, 728, 743, 230, 786, 870, 734, 148, 406, 169, 485, 825, 800, 135, 458, 832, 394, 315, 153, 148, 31, 882, 51, 718, 329, 476, 639, 790, 407, 368, 628, 856, 734, 728, 166, 628, 476, 230, 701, 513, 728, 684, 682, 660, 407, 407}

    {312, 722, 482, 489, 106, 367, 865, 37, 217, 47, 124, 56, 752, 269, 92, 396, 308, 88, 713, 802, 282, 633, 788, 109, 563, 312, 13, 343, 205, 259, 477, 819, 62, 322, 252, 37, 468, 272, 214, 189, 352, 488, 50, 379, 315, 276, 287, 595, 216, 116, 423, 219, 236, 430, 278, 697, 264, 594, 2, 839, 349, 689, 257, 529, 390, 768, 398, 633, 609, 364, 430, 815, 696, 707, 193, 598, 48, 360, 365, 67, 594, 871, 645, 515, 324, 722, 428, 569, 772, 648, 237, 176, 509, 343, 559, 495, 509, 463, 156, 248, 377, 386, 783, 473, 160, 686, 41, 836, 824, 337, 711, 151, 576, 556, 811, 337, 301, 354, 412, 178, 788, 362, 357, 290, 29, 829, 78, 807, 724, 497, 762, 710, 575, 99, 66, 187, 223, 762, 741, 311, 159, 680, 450, 362, 306, 878, 848, 218, 364, 667, 645, 150, 617, 712, 446, 211, 287, 141, 505, 212, 539, 186, 236, 457, 85, 491, 223, 428, 411, 446, 276, 7, 754, 328, 63, 732, 173, 801, 751, 361, 579, 115, 689, 730, 167, 143, 653, 365, 218, 385, 818, 813, 117, 359, 654, 831, 244, 100, 184, 648, 789, 304, 36, 688, 215, 349, 450, 881, 310, 815, 24, 311, 353, 662, 448, 374, 531, 381, 377, 766, 332, 817, 759, 695, 878, 821, 646, 809, 191, 369, 247, 794, 145, 25, 253, 512, 773, 519, 393, 506, 97, 604, 835, 367, 401, 758, 422, 337, 342, 102, 347, 470, 499, 423, 120, 76, 330, 772, 111, 178, 176, 545, 610, 551, 536, 234, 200, 854, 587, 768, 685, 487, 803, 490, 858, 343, 132, 304, 756, 145, 186, 319, 572, 354, 392, 555, 603, 579, 229, 680, 503, 527, 558, 750, 250, 597, 44, 134, 658, 8, 0, 83, 190, 810, 565, 425, 534, 54, 168, 518, 18, 847, 216, 275, 819, 84, 635, 312, 719, 617, 573, 282, 54, 552, 211, 542, 657, 333, 706, 328, 266, 194, 161, 247, 236, 102, 460, 297, 871, 678, 479, 445, 579, 780, 351, 461, 471, 827, 130, 338, 514, 702, 529, 557, 294, 251, 278, 797, 160, 290, 214, 855, 842, 826, 400, 381, 438, 659, 872, 89, 622, 528, 615, 569, 552, 252, 733, 581, 271, 742, 878, 3, 66, 535, 165, 523, 345, 278, 704, 490, 810, 326, 881, 260, 317, 535, 535, 575, 243, 607, 713, 797, 876, 576, 603, 470, 408, 144, 360, 351, 402, 577, 168, 845, 246, 361, 37, 6, 103, 404, 94, 779, 738, 413, 1, 258, 687, 321, 467, 240, 771, 618, 667, 119, 188, 506, 833, 442, 32, 474, 219, 667, 723, 125, 74, 143, 330, 273, 103, 510, 210, 161, 327, 267, 288, 11, 311, 170, 63, 526, 415, 106, 130, 783, 603, 189, 778, 715, 173, 146, 858, 414, 657, 677, 139, 601, 331, 844, 616, 829, 304, 57, 512, 144, 58, 151, 234, 366, 137, 381, 426, 29, 62, 356, 177, 795, 715, 526, 456, 237, 303, 766, 519, 645, 139, 61, 224, 627, 744, 877, 162, 256, 12, 741, 864, 620, 671, 180, 604, 380, 116, 536, 423, 487, 624, 582, 744, 27, 170, 296, 725, 81, 785, 467, 430, 55, 9, 471, 869, 665, 647, 668, 852, 666, 234, 633, 66, 621, 190, 624, 229, 434, 231, 184, 867, 150, 67, 812, 875, 55, 364, 243, 459, 357, 647, 561, 99, 821, 661, 444, 283, 227, 209, 446, 126, 115, 58, 431, 784, 536, 181, 39, 826, 677, 357, 706, 703, 417, 796, 624, 475, 671, 635, 754, 538, 581, 444, 244, 468, 168, 10, 801, 595, 309, 317, 219, 245, 871, 746, 864, 452, 380, 707, 522, 562, 806, 501, 276, 753, 640, 679, 489, 584, 733, 154, 747, 724, 277, 851, 397, 640, 644, 419, 644, 19, 342, 824, 853, 56, 333, 767, 345, 615, 566, 875, 43, 670, 67, 97, 416, 112, 162, 82, 54, 691, 760, 696, 214, 708, 840, 804, 643, 48, 71, 93, 332, 653, 301, 285, 714, 757, 644, 131, 495, 618, 837, 503, 341, 699, 749, 561, 584, 792, 255, 813, 187, 380, 725, 262, 196, 112, 518, 836, 410, 401, 483, 539, 104, 110, 465, 662, 664, 447, 616, 785, 398, 716, 474, 180, 859, 572, 171, 879, 719, 280, 473, 530, 880, 118, 239, 770, 259, 205, 760, 147, 222, 675, 525, 570, 623, 5, 378, 747, 339, 405, 46, 575, 865, 564, 163, 182, 296, 254, 602, 863, 473, 325, 231, 876, 848, 868, 630, 207, 623, 503, 80, 273, 650, 694, 481, 418, 585, 377, 59, 241, 387, 274, 350, 198, 558, 406, 180, 137, 806, 110, 586, 830, 26, 253, 73, 546, 245, 704, 609, 502, 203, 12, 453, 283, 799, 526, 615, 568, 630, 291, 147, 627, 64, 334, 186, 457, 149, 722, 111, 828, 106, 358, 794, 524, 445, 82, 375, 873, 876, 752, 443, 119, 233, 22, 192, 860, 153, 450, 643, 34, 828, 698, 683, 488, 164, 81, 739, 84, 8, 482, 30, 793, 4, 140, 599, 762, 779, 452, 637, 482, 675, 372, 447, 561, 690, 388, 452, 331, 465, 119, 100, 735, 158, 201, 87, 268, 586, 721, 738, 164, 429, 197, 880, 0, 717, 638, 863, 11, 273, 571, 553, 560, 73, 681, 221, 557, 359, 484, 675, 181, 505, 225, 629, 188, 795, 814, 104, 777, 521, 226, 371, 806, 451, 73, 499, 835, 86, 852, 378, 420, 50, 215, 336, 89, 22, 318, 743, 868, 344, 87, 40, 3, 612, 709, 550, 69, 849, 267, 134, 872, 48, 460, 862, 164, 395, 708, 554, 809, 346, 74, 556, 96, 841, 332, 562, 353, 207, 209, 568, 242, 261, 681, 647, 183, 799, 335, 517, 602, 410, 46, 873, 116, 221, 843, 249, 834, 248, 568, 378, 433, 564, 148, 271, 508, 349, 605, 340, 639, 654, 320, 767, 425, 165, 657, 475, 213, 92, 433, 264, 869, 78, 367, 720, 23, 867, 294, 737, 118, 577, 157, 435, 814, 631, 464, 411, 417, 2, 837, 251, 588, 643, 383, 544, 591, 400, 489, 504, 875, 179, 629, 78, 25, 295, 823, 726, 807, 354, 533, 439, 60, 610, 95, 1, 113, 545, 376, 549, 800, 571, 492, 597, 427, 127, 614, 574, 594, 387, 171, 126, 326, 424, 734, 397, 793, 508, 462, 745, 65, 435, 688, 104, 698, 626, 15, 485, 279, 105, 291, 373, 158, 388, 280, 520, 397, 91, 607, 191, 379, 355, 202, 359, 204, 238, 5, 300, 155, 655, 238, 674, 775, 590, 787, 547, 511, 531, 399, 269, 714, 527, 808, 557, 404, 23, 395, 382, 593, 816, 655, 520, 283, 839, 363, 16, 748, 327, 20, 629, 136, 614, 134, 608, 105, 38, 510, 151, 345, 237, 680, 24, 787, 880, 102, 355, 369, 344, 293, 455, 183, 832, 827, 759, 791, 683, 555, 544, 400, 596, 464, 711, 308, 578, 370, 230, 149, 316, 281, 740, 272, 127, 289, 493, 373, 678, 38, 676, 732, 91, 363, 258, 498, 740, 634, 516, 736, 477, 699, 98, 470, 727, 525, 17, 543, 582, 406, 372, 716, 355, 338, 692, 53, 261, 47, 455, 564, 16, 133, 765, 133, 363, 511, 126, 840, 98, 166, 27, 232, 465, 870, 807, 737, 342, 396, 257, 558, 596, 183, 133, 298, 484, 492, 292, 221, 795, 781, 652, 21, 866, 769, 676, 483, 476, 588, 14, 699, 718, 292, 790, 484, 277, 77, 352, 472, 433, 612, 266, 805, 589, 233, 51, 525, 458, 826, 483, 51, 563, 449, 641, 85, 674, 620, 341, 419, 588, 325, 836, 313, 656, 560, 856, 65, 455, 849, 613, 13, 157, 592, 592, 443, 862, 77, 805, 144, 279, 348, 129, 541, 823, 64, 427, 811, 776, 334, 368, 786, 409, 409, 541, 394, 567, 567, 765, 731, 346, 755, 443, 169, 368, 427, 107, 541, 560, 329, 761, 743, 597, 620, 348, 516, 567, 85, 682, 600, 589, 703, 660, 153, 606, 684, 703, 660, 701}

    Returns: {1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1 }

  17. 934

    {97, 267, 210, 196, 144, 481, 314, 847, 781, 273, 94, 743, 856, 818, 362, 29, 592, 691, 5, 436, 891, 306, 330, 465, 709, 894, 128, 604, 427, 354, 212, 79, 795, 774, 700, 228, 581, 160, 178, 191, 900, 522, 180, 764, 666, 931, 635, 739, 474, 286, 449, 333, 818, 197, 331, 98, 194, 167, 392, 749, 415, 606, 83, 145, 529, 362, 421, 206, 555, 864, 81, 56, 726, 250, 641, 98, 521, 625, 575, 312, 199, 151, 756, 752, 61, 406, 679, 312, 234, 537, 496, 424, 103, 390, 223, 630, 375, 884, 130, 750, 868, 305, 486, 262, 664, 108, 139, 813, 344, 831, 647, 667, 685, 354, 791, 773, 381, 740, 299, 743, 587, 699, 662, 248, 798, 682, 525, 150, 473, 63, 602, 143, 460, 207, 626, 801, 643, 52, 42, 855, 731, 414, 834, 736, 528, 105, 340, 520, 398, 152, 900, 387, 16, 856, 451, 875, 279, 928, 159, 880, 823, 30, 731, 242, 337, 79, 22, 411, 447, 353, 628, 249, 424, 236, 436, 455, 715, 106, 618, 91, 662, 846, 587, 291, 334, 333, 27, 592, 678, 219, 120, 871, 10, 448, 832, 360, 874, 334, 606, 645, 757, 438, 146, 572, 918, 748, 215, 150, 385, 452, 636, 576, 25, 769, 8, 29, 309, 427, 800, 713, 506, 552, 541, 645, 924, 357, 686, 914, 145, 105, 330, 124, 151, 77, 847, 883, 521, 222, 850, 660, 568, 334, 924, 642, 367, 247, 544, 444, 497, 196, 879, 32, 657, 160, 401, 703, 425, 629, 561, 539, 22, 235, 919, 408, 433, 77, 611, 913, 90, 195, 365, 878, 534, 135, 53, 838, 113, 810, 555, 643, 827, 11, 570, 922, 678, 271, 118, 140, 447, 632, 579, 323, 523, 408, 664, 93, 928, 210, 176, 624, 94, 213, 280, 393, 291, 448, 100, 570, 445, 895, 439, 887, 4, 176, 130, 678, 856, 63, 760, 124, 312, 661, 260, 425, 707, 229, 721, 626, 847, 728, 650, 76, 308, 609, 413, 9, 203, 44, 899, 926, 505, 118, 239, 465, 370, 116, 662, 734, 890, 564, 384, 798, 75, 570, 167, 745, 284, 812, 453, 76, 518, 282, 546, 322, 404, 885, 576, 140, 257, 635, 136, 87, 441, 717, 692, 472, 215, 624, 259, 686, 260, 629, 621, 58, 319, 574, 419, 198, 321, 230, 325, 187, 553, 199, 76, 788, 504, 924, 808, 689, 391, 720, 905, 612, 415, 36, 815, 47, 119, 665, 767, 865, 658, 183, 817, 432, 32, 910, 785, 151, 81, 126, 459, 124, 768, 443, 548, 915, 322, 769, 848, 559, 771, 19, 748, 28, 690, 105, 89, 781, 252, 16, 659, 605, 837, 503, 901, 901, 495, 19, 159, 251, 443, 128, 358, 493, 100, 800, 822, 409, 258, 677, 491, 231, 532, 152, 311, 594, 172, 437, 873, 885, 45, 357, 210, 863, 780, 772, 223, 6, 472, 566, 338, 240, 729, 252, 356, 360, 20, 33, 420, 317, 577, 81, 622, 904, 446, 496, 737, 870, 712, 70, 512, 341, 582, 129, 156, 543, 597, 574, 866, 470, 351, 539, 509, 651, 674, 730, 56, 595, 756, 836, 698, 267, 35, 259, 833, 833, 802, 787, 9, 868, 809, 379, 594, 290, 439, 369, 489, 887, 709, 930, 862, 893, 585, 685, 184, 333, 131, 53, 351, 125, 192, 729, 712, 341, 431, 270, 316, 776, 906, 525, 234, 384, 73, 594, 395, 770, 323, 419, 407, 826, 335, 499, 669, 794, 416, 803, 921, 11, 431, 817, 565, 106, 833, 396, 437, 2, 767, 489, 209, 441, 223, 201, 735, 50, 65, 623, 550, 388, 161, 862, 230, 638, 134, 158, 41, 793, 499, 119, 479, 188, 58, 709, 4, 281, 231, 335, 270, 311, 456, 667, 623, 102, 343, 358, 265, 228, 243, 858, 173, 417, 48, 904, 454, 726, 529, 321, 35, 12, 877, 568, 436, 530, 202, 657, 902, 97, 644, 396, 467, 388, 854, 135, 320, 320, 278, 397, 319, 584, 490, 640, 832, 433, 538, 211, 90, 370, 821, 735, 558, 578, 601, 352, 154, 417, 725, 738, 182, 486, 866, 613, 627, 206, 553, 71, 818, 240, 759, 891, 87, 143, 896, 716, 753, 500, 275, 705, 759, 828, 805, 831, 388, 806, 669, 171, 228, 930, 556, 127, 368, 767, 280, 698, 86, 758, 378, 783, 417, 511, 231, 429, 896, 273, 656, 722, 476, 346, 772, 861, 221, 681, 537, 497, 571, 842, 43, 102, 671, 164, 569, 54, 339, 200, 920, 863, 40, 815, 535, 508, 494, 432, 717, 731, 84, 507, 348, 478, 327, 7, 930, 548, 783, 903, 749, 864, 889, 394, 477, 58, 787, 571, 499, 52, 414, 741, 80, 877, 690, 193, 336, 708, 96, 325, 464, 583, 237, 786, 201, 656, 593, 842, 884, 336, 540, 638, 620, 848, 768, 668, 246, 270, 55, 281, 171, 760, 889, 687, 724, 41, 648, 551, 613, 426, 755, 263, 933, 378, 136, 911, 57, 478, 526, 187, 721, 840, 294, 256, 846, 281, 493, 373, 429, 189, 888, 141, 688, 0, 83, 920, 179, 654, 288, 410, 401, 723, 851, 701, 296, 154, 532, 361, 59, 188, 325, 887, 97, 865, 424, 212, 511, 26, 350, 801, 226, 224, 871, 578, 109, 392, 621, 482, 126, 14, 676, 161, 79, 309, 714, 530, 509, 7, 880, 536, 694, 40, 693, 591, 790, 200, 287, 20, 292, 65, 608, 53, 738, 920, 840, 779, 329, 927, 876, 558, 175, 627, 137, 518, 175, 87, 625, 554, 225, 639, 825, 786, 430, 133, 661, 569, 511, 170, 82, 720, 316, 789, 157, 221, 666, 922, 454, 327, 836, 732, 177, 392, 431, 494, 475, 509, 733, 459, 5, 917, 195, 181, 531, 488, 226, 303, 918, 369, 30, 679, 420, 534, 654, 498, 43, 382, 326, 658, 3, 491, 673, 484, 476, 544, 60, 62, 180, 749, 468, 466, 899, 909, 907, 292, 341, 355, 718, 364, 483, 579, 890, 178, 502, 21, 127, 650, 462, 455, 244, 608, 754, 746, 649, 543, 513, 586, 377, 301, 80, 311, 524, 799, 502, 44, 142, 39, 295, 115, 808, 205, 577, 675, 280, 705, 566, 633, 394, 303, 631, 919, 433, 777, 88, 14, 590, 808, 820, 688, 823, 493, 274, 90, 74, 266, 575, 136, 905, 826, 13, 791, 732, 500, 305, 590, 307, 239, 716, 264, 798, 218, 168, 457, 8, 126, 495, 163, 12, 852, 143, 310, 60, 561, 400, 182, 203, 190, 482, 910, 878, 380, 759, 766, 372, 593, 854, 421, 776, 863, 853, 220, 318, 873, 869, 859, 133, 78, 572, 560, 449, 837, 582, 68, 563, 77, 596, 92, 776, 332, 35, 487, 747, 213, 861, 345, 707, 915, 193, 480, 600, 858, 173, 540, 674, 391, 495, 158, 261, 133, 74, 237, 559, 245, 374, 370, 791, 230, 468, 451, 300, 343, 176, 637, 926, 377, 64, 276, 897, 93, 269, 916, 912, 491, 696, 121, 18, 389, 475, 802, 523, 599, 382, 560, 383, 439, 550, 78, 386, 716, 728, 784, 156, 386, 591, 438, 842, 567, 697, 488, 470, 566, 806, 72, 711, 911, 328, 517, 365, 702, 599, 543, 610, 283, 225, 382, 536, 581, 761, 340, 338, 732, 253, 225, 268, 621, 283, 892, 541, 741, 517, 796, 933, 132, 31, 865, 208, 17, 60, 677, 109, 175, 261, 736, 654, 683, 189, 306, 620, 503, 765, 229, 513, 25, 18, 923, 778, 369, 328, 608, 117, 440, 147, 69, 510, 376, 132, 695, 611, 914, 371, 131, 429, 354, 540, 72, 435, 276, 730, 95, 315, 290, 399, 108, 899, 279, 489, 514, 111, 85, 693, 410, 23, 332, 457, 412, 165, 375, 326, 788, 615, 513, 797, 725, 573, 138, 339, 487, 122, 39, 823, 68, 393, 653, 430, 376, 232, 851, 216, 488, 739, 22, 588, 423, 788, 57, 893, 17, 42, 925, 474, 85, 62, 762, 692, 710, 512, 274, 634, 875, 473, 383, 724, 342, 148, 704, 508, 141, 706, 762, 428, 55, 880, 315, 177, 147, 117, 843, 371, 515, 739, 78, 247, 501, 464, 295, 479, 582, 278, 435, 142, 298, 224, 13, 663, 261, 706, 479, 829, 680, 761, 908, 371, 104, 366, 925, 435, 23, 366, 519, 507, 288, 245, 186, 744, 293, 763, 456, 522, 617, 342, 219, 88, 501, 744, 457, 288, 397, 704, 257, 153, 516, 464, 324, 403, 376, 153, 313, 754, 867, 882, 754, 853, 820, 867, 663, 218, 289, 218}

    {822, 779, 297, 183, 238, 374, 183, 96, 184, 112, 613, 294, 790, 713, 358, 722, 785, 927, 830, 453, 345, 668, 296, 764, 675, 527, 5, 384, 466, 873, 520, 558, 882, 525, 932, 715, 758, 199, 421, 811, 21, 362, 719, 521, 835, 684, 580, 768, 399, 549, 630, 170, 835, 687, 770, 913, 777, 652, 502, 850, 125, 36, 584, 41, 549, 331, 330, 269, 61, 535, 782, 71, 441, 404, 67, 291, 541, 659, 245, 422, 596, 898, 323, 443, 73, 630, 47, 406, 866, 347, 603, 874, 585, 906, 888, 297, 505, 848, 32, 765, 872, 467, 101, 275, 115, 192, 647, 555, 49, 699, 855, 360, 106, 128, 743, 548, 567, 127, 746, 737, 385, 670, 881, 676, 640, 535, 497, 906, 155, 804, 601, 542, 825, 86, 900, 550, 773, 669, 410, 831, 601, 799, 730, 471, 84, 110, 237, 47, 304, 682, 3, 185, 446, 734, 933, 671, 447, 552, 289, 14, 853, 366, 112, 350, 63, 9, 0, 295, 208, 482, 130, 40, 89, 349, 64, 10, 272, 2, 545, 841, 38, 86, 316, 492, 744, 812, 351, 188, 367, 174, 895, 120, 262, 719, 797, 843, 857, 653, 207, 368, 285, 120, 271, 586, 931, 118, 676, 750, 419, 256, 204, 16, 850, 827, 174, 487, 243, 904, 874, 819, 734, 160, 52, 485, 33, 209, 498, 819, 59, 844, 544, 94, 816, 533, 609, 745, 651, 187, 691, 652, 711, 703, 422, 661, 835, 472, 89, 155, 212, 811, 85, 622, 103, 568, 765, 66, 533, 612, 542, 682, 344, 107, 398, 505, 159, 657, 839, 92, 641, 619, 367, 708, 15, 411, 635, 539, 390, 465, 112, 620, 587, 758, 174, 612, 275, 498, 827, 560, 901, 792, 217, 822, 723, 306, 463, 602, 220, 55, 69, 395, 538, 813, 99, 746, 691, 547, 589, 809, 492, 93, 11, 406, 197, 234, 795, 373, 46, 626, 468, 596, 597, 396, 504, 752, 836, 530, 258, 463, 704, 640, 834, 790, 422, 444, 748, 685, 146, 122, 909, 140, 233, 282, 849, 337, 712, 785, 238, 533, 172, 484, 29, 637, 448, 195, 129, 165, 527, 321, 241, 810, 647, 576, 628, 265, 849, 252, 774, 518, 797, 812, 260, 686, 664, 34, 45, 793, 413, 727, 95, 807, 204, 646, 564, 595, 197, 547, 413, 845, 265, 637, 123, 551, 235, 157, 813, 610, 407, 66, 916, 673, 262, 860, 604, 519, 775, 624, 446, 583, 304, 569, 551, 10, 774, 255, 409, 320, 194, 307, 828, 814, 2, 727, 881, 437, 471, 928, 793, 926, 346, 308, 135, 99, 132, 299, 169, 602, 352, 222, 879, 864, 310, 895, 747, 221, 204, 784, 492, 821, 689, 398, 542, 69, 834, 290, 463, 161, 425, 125, 840, 477, 385, 622, 927, 480, 73, 348, 0, 70, 807, 771, 722, 254, 243, 778, 735, 114, 201, 921, 713, 574, 395, 894, 235, 137, 553, 322, 256, 349, 273, 129, 217, 919, 571, 496, 565, 251, 504, 659, 71, 258, 420, 757, 84, 912, 152, 168, 780, 670, 907, 179, 506, 319, 796, 24, 628, 352, 839, 246, 616, 811, 119, 672, 18, 546, 4, 107, 452, 450, 415, 100, 826, 469, 49, 710, 365, 931, 379, 378, 391, 717, 891, 91, 554, 298, 27, 668, 795, 251, 531, 43, 462, 266, 870, 397, 227, 70, 907, 162, 650, 760, 872, 298, 868, 409, 719, 400, 162, 592, 694, 301, 565, 861, 328, 932, 356, 632, 27, 38, 500, 113, 531, 879, 438, 670, 75, 742, 729, 740, 763, 180, 284, 149, 364, 606, 585, 705, 756, 800, 665, 814, 74, 217, 184, 263, 379, 272, 554, 54, 794, 804, 167, 241, 12, 614, 723, 773, 645, 528, 377, 792, 508, 549, 845, 718, 61, 633, 466, 267, 286, 414, 373, 672, 883, 910, 335, 286, 224, 762, 838, 179, 107, 394, 460, 386, 605, 715, 915, 450, 305, 46, 380, 329, 524, 829, 426, 349, 750, 523, 862, 721, 387, 284, 405, 478, 46, 781, 825, 646, 698, 309, 929, 215, 390, 347, 740, 852, 701, 287, 671, 775, 890, 28, 588, 207, 389, 272, 189, 65, 794, 83, 359, 162, 144, 254, 137, 633, 338, 34, 239, 302, 892, 675, 859, 348, 886, 36, 894, 481, 236, 171, 537, 400, 246, 206, 718, 520, 285, 815, 471, 368, 374, 181, 770, 763, 236, 700, 25, 203, 33, 619, 510, 387, 720, 747, 538, 242, 289, 242, 238, 364, 841, 150, 44, 589, 163, 300, 259, 350, 103, 101, 299, 450, 799, 111, 869, 516, 255, 458, 449, 857, 690, 483, 736, 816, 208, 347, 656, 340, 524, 399, 294, 912, 99, 609, 166, 614, 527, 476, 572, 404, 477, 556, 780, 28, 783, 248, 611, 1, 1, 110, 343, 101, 886, 878, 615, 205, 911, 339, 205, 627, 575, 921, 903, 605, 356, 618, 459, 786, 131, 372, 158, 897, 534, 600, 726, 528, 738, 19, 48, 876, 20, 745, 222, 264, 642, 503, 708, 172, 688, 913, 393, 401, 49, 870, 871, 689, 458, 186, 116, 855, 430, 485, 467, 514, 255, 113, 285, 806, 814, 917, 631, 67, 667, 26, 327, 102, 514, 917, 287, 282, 830, 801, 194, 885, 751, 307, 819, 427, 636, 454, 681, 110, 470, 903, 185, 869, 117, 317, 329, 593, 357, 318, 877, 108, 666, 641, 846, 178, 233, 616, 181, 902, 308, 300, 402, 214, 699, 923, 169, 191, 363, 389, 706, 432, 908, 66, 547, 796, 648, 104, 114, 832, 792, 170, 642, 381, 75, 660, 59, 490, 241, 616, 462, 123, 764, 506, 837, 769, 460, 545, 599, 214, 34, 428, 755, 804, 402, 416, 263, 653, 849, 331, 771, 233, 416, 445, 803, 580, 632, 166, 37, 673, 824, 3, 426, 802, 250, 583, 755, 269, 13, 805, 440, 875, 561, 31, 908, 166, 607, 139, 782, 631, 830, 646, 828, 607, 787, 932, 115, 614, 193, 190, 56, 346, 578, 545, 156, 80, 39, 375, 250, 618, 684, 37, 451, 185, 227, 589, 839, 249, 888, 134, 741, 144, 324, 679, 138, 240, 154, 619, 789, 658, 344, 838, 851, 92, 168, 190, 775, 610, 703, 905, 486, 405, 444, 929, 914, 38, 728, 697, 134, 674, 588, 805, 597, 902, 909, 852, 292, 922, 591, 182, 824, 442, 824, 64, 418, 737, 274, 1, 490, 692, 651, 21, 881, 296, 342, 202, 121, 772, 455, 98, 8, 116, 157, 82, 82, 556, 580, 639, 598, 617, 271, 164, 697, 297, 636, 817, 677, 639, 629, 51, 480, 684, 229, 694, 302, 277, 475, 733, 88, 310, 876, 625, 461, 807, 649, 889, 821, 232, 72, 644, 751, 202, 155, 672, 169, 623, 727, 407, 564, 293, 707, 211, 648, 200, 484, 483, 665, 517, 254, 96, 696, 50, 872, 149, 95, 809, 701, 751, 458, 829, 226, 353, 844, 898, 598, 142, 526, 522, 494, 687, 266, 461, 702, 893, 164, 317, 515, 752, 15, 858, 644, 898, 803, 810, 607, 314, 584, 191, 381, 559, 896, 604, 440, 761, 567, 253, 453, 30, 595, 213, 428, 104, 214, 123, 573, 220, 844, 380, 660, 408, 277, 643, 276, 779, 293, 649, 196, 244, 563, 192, 57, 26, 412, 54, 91, 302, 652, 485, 304, 249, 702, 139, 279, 725, 778, 784, 579, 412, 24, 562, 816, 573, 532, 122, 577, 598, 244, 510, 24, 663, 209, 546, 37, 232, 695, 146, 227, 733, 526, 883, 442, 361, 590, 882, 841, 892, 121, 693, 586, 655, 23, 710, 845, 138, 777, 318, 581, 248, 603, 165, 257, 423, 886, 148, 51, 789, 51, 918, 315, 536, 353, 634, 7, 562, 655, 634, 843, 695, 247, 109, 742, 268, 403, 114, 696, 418, 42, 62, 683, 445, 332, 923, 324, 337, 884, 405, 857, 766, 283, 303, 363, 711, 418, 363, 473, 557, 145, 264, 854, 724, 301, 600, 423, 149, 757, 345, 766, 557, 638, 216, 147, 615, 461, 617, 434, 211, 67, 680, 383, 474, 153, 742, 512, 17, 31, 683, 314, 50, 700, 148, 469, 516, 177, 929, 277, 186, 326, 434, 562, 714, 469, 714, 372, 655, 507, 753, 897, 361, 925, 336, 402, 111, 452, 253, 519, 481, 529, 278, 603, 268, 859, 15, 442, 6, 68, 403, 141, 552, 753, 434, 359, 48, 820, 680, 501, 860, 216, 45, 6, 411, 515, 916, 163, 219, 557, 313, 563, 173, 198, 313, 860, 456, 867, 359, 198, 681, 355, 355, 782}

    Returns: {0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0 }

  18. 806

    {345, 316, 693, 485, 652, 534, 410, 78, 313, 442, 612, 111, 645, 213, 487, 248, 294, 776, 547, 270, 766, 677, 800, 621, 590, 12, 426, 83, 403, 141, 693, 331, 516, 21, 331, 21, 730, 301, 273, 61, 775, 124, 458, 488, 436, 644, 477, 424, 537, 592, 698, 342, 247, 187, 648, 351, 179, 409, 691, 99, 456, 752, 289, 737, 488, 222, 365, 380, 671, 197, 328, 635, 417, 258, 620, 449, 267, 163, 43, 597, 117, 235, 581, 222, 518, 112, 418, 515, 548, 497, 536, 763, 241, 163, 102, 251, 145, 560, 444, 422, 716, 335, 443, 73, 335, 291, 554, 56, 626, 456, 284, 619, 313, 265, 23, 752, 655, 301, 229, 497, 571, 758, 685, 291, 372, 805, 297, 457, 488, 783, 762, 121, 670, 57, 575, 418, 157, 781, 139, 583, 258, 560, 476, 789, 507, 704, 573, 623, 799, 533, 580, 599, 205, 748, 368, 314, 275, 71, 801, 586, 687, 55, 791, 139, 224, 49, 138, 157, 183, 689, 343, 272, 246, 244, 440, 531, 111, 62, 569, 506, 589, 47, 620, 123, 89, 9, 398, 507, 172, 470, 781, 322, 204, 198, 635, 723, 311, 522, 652, 60, 679, 695, 379, 78, 105, 630, 682, 40, 421, 655, 468, 256, 188, 306, 562, 664, 152, 28, 751, 659, 623, 125, 390, 610, 481, 779, 768, 567, 171, 139, 527, 76, 630, 98, 232, 348, 644, 703, 563, 180, 671, 22, 252, 2, 374, 436, 764, 260, 7, 602, 524, 643, 474, 746, 599, 574, 691, 674, 489, 51, 796, 89, 804, 153, 788, 420, 84, 79, 15, 637, 484, 760, 469, 156, 614, 233, 436, 333, 719, 259, 734, 353, 317, 349, 277, 3, 600, 461, 296, 614, 362, 765, 394, 569, 714, 586, 344, 125, 100, 395, 105, 626, 680, 43, 539, 511, 338, 42, 779, 591, 68, 123, 323, 737, 312, 663, 399, 169, 545, 535, 491, 10, 783, 132, 384, 70, 508, 581, 517, 233, 631, 706, 681, 446, 434, 427, 497, 716, 797, 86, 246, 603, 415, 688, 296, 251, 729, 5, 110, 275, 376, 336, 643, 627, 607, 280, 509, 486, 69, 460, 636, 647, 236, 296, 659, 751, 280, 651, 464, 417, 611, 505, 687, 621, 286, 311, 605, 718, 540, 745, 434, 612, 352, 734, 63, 661, 391, 121, 421, 427, 452, 473, 575, 627, 449, 359, 790, 508, 551, 226, 534, 121, 228, 411, 581, 433, 529, 709, 732, 2, 17, 314, 518, 86, 777, 708, 715, 29, 754, 80, 741, 765, 638, 666, 276, 412, 520, 203, 529, 710, 542, 280, 661, 55, 343, 657, 3, 452, 8, 387, 269, 94, 58, 598, 295, 38, 16, 197, 318, 367, 527, 781, 591, 421, 223, 387, 228, 713, 410, 762, 252, 798, 420, 216, 470, 239, 35, 271, 392, 59, 457, 347, 6, 753, 92, 254, 159, 628, 368, 43, 732, 300, 496, 302, 17, 132, 105, 511, 605, 464, 657, 769, 254, 422, 780, 590, 359, 731, 645, 784, 621, 371, 467, 793, 10, 571, 417, 755, 162, 787, 12, 150, 551, 533, 334, 696, 615, 588, 395, 481, 201, 765, 118, 274, 284, 601, 479, 169, 27, 754, 440, 23, 460, 670, 541, 605, 350, 528, 491, 30, 210, 207, 339, 628, 601, 566, 597, 681, 749, 170, 528, 93, 52, 240, 654, 349, 135, 340, 774, 165, 379, 310, 724, 760, 411, 134, 196, 378, 307, 688, 589, 297, 316, 738, 430, 592, 272, 783, 305, 230, 158, 359, 620, 62, 511, 679, 14, 238, 424, 137, 600, 572, 145, 153, 519, 792, 589, 549, 696, 165, 713, 428, 287, 33, 495, 399, 680, 639, 632, 188, 408, 539, 604, 122, 386, 333, 22, 694, 667, 340, 785, 499, 323, 47, 659, 517, 140, 678, 689, 536, 398, 64, 47, 290, 358, 401, 757, 298, 198, 789, 141, 250, 371, 352, 448, 339, 594, 628, 58, 253, 712, 52, 386, 432, 398, 364, 2, 99, 723, 173, 430, 805, 778, 68, 165, 766, 20, 738, 568, 0, 56, 91, 573, 662, 62, 51, 375, 90, 318, 40, 235, 652, 348, 360, 721, 190, 127, 39, 225, 181, 790, 521, 517, 784, 74, 255, 775, 702, 277, 727, 310, 657, 746, 281, 638, 387, 445, 700, 369, 265, 258, 185, 20, 96, 674, 492, 789, 584, 476, 390, 502, 743, 262, 357, 102, 115, 803, 5, 15, 597, 7, 193, 215, 29, 688, 80, 779, 338, 4, 572, 181, 731, 603, 294, 559, 303, 36, 568, 683, 527, 9, 720, 167, 640, 192, 552, 538, 764, 445, 747, 672, 180, 336, 307, 548, 692, 28, 118, 668, 667, 454, 731, 230, 101, 553, 167, 397, 532, 363, 636, 56, 106, 194, 131, 423, 438, 102, 757, 282, 595, 784, 552, 120, 375, 494, 425, 537, 263, 371, 532, 675, 382, 226, 90, 418, 297, 383, 719, 309, 519, 231, 42, 110, 558, 231, 501, 309, 466, 474, 800, 310, 34, 587, 498, 514, 8, 665, 772, 598, 262, 507, 298, 669, 397, 564, 582, 155, 229, 306, 103, 388, 658, 98, 463, 36, 530, 342, 493, 450, 733, 425, 525, 500, 210, 44, 480, 775, 447, 113, 622, 544, 302, 453, 613, 732, 705, 126, 158, 726, 647, 624, 161, 758, 175, 458, 1, 624, 214, 267, 471, 763, 247, 389, 690, 595, 195, 164, 512, 203, 524, 650, 596, 138, 772, 295, 249, 60, 608, 468, 625, 286, 756, 183, 740, 199, 347, 67, 330, 160, 389, 374, 299, 164, 214, 803, 61, 245, 337, 697, 694, 98, 390, 13, 302, 173, 29, 307, 489, 698, 633, 692, 664, 396, 458, 749, 707, 550, 159, 536, 295, 177, 493, 382, 712, 592, 537, 480, 300, 695, 795, 658, 143, 65, 772, 391, 174, 634, 460, 66, 182, 593, 641, 638, 186, 699, 144, 773, 476, 283, 646, 127, 19, 67, 191, 791, 223, 529, 593, 239, 193, 221, 545, 389, 407, 776, 44, 217, 555, 763, 96, 744, 104, 388, 594, 148, 131, 461, 341, 57, 633, 192, 701, 42, 274, 360, 632, 53, 544, 469, 268, 57, 122, 684, 526, 37, 327, 550, 4, 430, 213, 492, 250, 579, 767, 747, 475, 39, 649, 72, 773, 375, 41, 18, 707, 653, 596, 255, 120, 432, 532, 195, 481, 515, 186, 94, 178, 207, 176, 152, 72, 739, 739, 530, 341, 351, 174, 617, 714, 256, 795, 190, 279, 232, 601, 640, 250, 120, 462, 400, 159, 35, 259, 82, 182, 503, 501, 462, 65, 87, 379, 93, 356, 672, 570, 794, 478, 596, 301, 804, 200, 715, 530, 788, 590, 146, 588, 636, 31, 288, 345, 131, 287, 750, 147, 804, 667, 755, 266, 700, 770, 221, 66, 441, 541, 126, 384, 150, 24, 557, 432, 739, 84, 326, 37, 288, 490, 556, 406, 87, 721, 200, 463, 431, 666, 660, 793, 578, 129, 24, 623, 115, 322, 242, 556, 261, 742, 435, 750, 578, 27, 373, 154, 101, 503, 770, 482, 129, 18, 369, 742, 774, 672, 176, 305, 210, 725, 455, 514, 46, 406, 208, 75, 305, 416, 678, 142, 416, 615, 685, 557, 557, 142, 116, 268, 451, 451, 158, 408, 755, 714, 41, 266, 83, 455, 798, 0, 75, 404, 83, 13, 327, 184, 676, 510, 166, 676, 166, 802, 676}

    {9, 550, 656, 435, 655, 308, 372, 138, 183, 151, 661, 184, 350, 521, 136, 187, 270, 718, 392, 256, 751, 533, 485, 768, 114, 555, 17, 143, 25, 249, 745, 348, 629, 308, 487, 722, 247, 576, 86, 205, 682, 315, 264, 88, 267, 635, 217, 665, 236, 79, 483, 796, 346, 130, 429, 771, 156, 394, 311, 404, 644, 393, 720, 374, 68, 25, 706, 805, 205, 564, 723, 472, 32, 591, 194, 799, 759, 697, 241, 270, 246, 279, 378, 228, 279, 77, 377, 786, 209, 181, 656, 569, 738, 285, 793, 292, 363, 124, 759, 376, 180, 240, 716, 796, 462, 444, 299, 612, 705, 392, 448, 215, 456, 27, 718, 522, 25, 329, 651, 603, 496, 149, 358, 196, 49, 419, 800, 291, 424, 599, 479, 573, 758, 486, 437, 82, 344, 49, 232, 401, 525, 629, 285, 472, 414, 320, 736, 412, 428, 191, 144, 706, 237, 675, 85, 325, 346, 211, 349, 313, 486, 163, 519, 446, 218, 343, 452, 501, 707, 172, 61, 212, 276, 508, 194, 521, 665, 260, 440, 193, 187, 618, 26, 459, 252, 704, 546, 54, 578, 111, 419, 114, 484, 637, 489, 50, 770, 12, 224, 221, 248, 135, 23, 405, 395, 699, 257, 673, 202, 284, 316, 401, 409, 465, 571, 413, 75, 687, 15, 69, 329, 50, 211, 33, 334, 617, 157, 618, 234, 325, 471, 50, 523, 153, 744, 582, 681, 768, 112, 450, 38, 651, 494, 175, 331, 272, 475, 381, 454, 564, 580, 752, 59, 234, 433, 708, 350, 172, 179, 231, 95, 133, 8, 414, 413, 666, 312, 746, 134, 539, 504, 689, 241, 264, 303, 551, 308, 618, 619, 44, 606, 355, 226, 693, 514, 567, 512, 495, 289, 202, 415, 439, 92, 513, 123, 442, 260, 32, 358, 637, 20, 658, 245, 292, 353, 366, 759, 743, 237, 143, 28, 542, 722, 495, 722, 403, 376, 528, 257, 446, 262, 192, 293, 394, 443, 606, 71, 673, 240, 317, 76, 315, 366, 324, 16, 85, 156, 96, 610, 727, 393, 288, 90, 407, 643, 51, 321, 104, 449, 89, 275, 48, 737, 321, 669, 540, 335, 103, 319, 788, 549, 427, 748, 162, 454, 216, 496, 355, 499, 761, 365, 11, 124, 152, 426, 39, 287, 733, 278, 766, 88, 130, 769, 339, 293, 646, 91, 79, 218, 179, 441, 695, 169, 653, 216, 542, 128, 372, 743, 583, 97, 154, 290, 22, 100, 196, 36, 754, 696, 144, 616, 1, 663, 702, 631, 303, 337, 668, 113, 494, 580, 188, 792, 671, 135, 502, 439, 584, 329, 764, 467, 285, 312, 627, 736, 771, 233, 668, 207, 177, 145, 40, 71, 626, 118, 410, 553, 340, 420, 568, 509, 174, 504, 219, 109, 202, 10, 164, 753, 515, 235, 306, 750, 412, 505, 63, 238, 598, 386, 160, 526, 429, 645, 366, 566, 791, 415, 224, 711, 380, 757, 362, 80, 266, 705, 363, 708, 704, 566, 600, 269, 608, 294, 253, 353, 777, 370, 142, 388, 711, 63, 435, 611, 465, 782, 648, 112, 393, 70, 290, 773, 631, 762, 701, 785, 81, 199, 346, 198, 377, 381, 370, 344, 713, 248, 534, 425, 238, 100, 487, 97, 485, 419, 518, 602, 610, 134, 399, 95, 269, 370, 104, 431, 215, 492, 354, 293, 113, 222, 691, 242, 70, 607, 333, 690, 407, 609, 397, 368, 321, 130, 560, 140, 182, 677, 677, 160, 767, 558, 253, 794, 170, 11, 52, 520, 414, 332, 318, 319, 649, 741, 625, 443, 59, 662, 409, 237, 561, 703, 264, 364, 357, 45, 547, 119, 324, 544, 251, 136, 673, 780, 119, 91, 325, 31, 199, 292, 161, 794, 109, 563, 244, 32, 614, 365, 106, 724, 286, 602, 570, 223, 780, 355, 778, 561, 459, 664, 149, 472, 422, 801, 506, 345, 117, 428, 317, 93, 147, 119, 607, 369, 439, 55, 630, 206, 799, 502, 133, 45, 14, 465, 161, 67, 684, 128, 606, 729, 64, 748, 115, 65, 562, 81, 276, 549, 176, 498, 717, 282, 642, 675, 140, 574, 354, 787, 471, 106, 347, 332, 99, 642, 351, 117, 338, 277, 381, 724, 7, 245, 467, 141, 782, 107, 523, 558, 336, 33, 483, 604, 132, 576, 715, 703, 611, 543, 116, 364, 204, 642, 434, 21, 114, 710, 314, 710, 760, 577, 220, 786, 483, 249, 46, 229, 403, 319, 315, 726, 615, 6, 162, 45, 110, 377, 281, 34, 634, 570, 147, 108, 411, 271, 402, 480, 103, 613, 16, 474, 326, 702, 756, 711, 513, 261, 490, 572, 383, 14, 647, 554, 168, 466, 504, 244, 304, 709, 792, 587, 263, 337, 332, 575, 230, 1, 445, 473, 92, 380, 5, 330, 622, 81, 167, 646, 320, 680, 735, 663, 576, 545, 125, 254, 236, 616, 491, 526, 725, 629, 563, 736, 220, 679, 405, 168, 278, 58, 561, 531, 4, 720, 373, 585, 728, 442, 334, 274, 782, 656, 328, 741, 35, 383, 801, 690, 6, 523, 579, 354, 186, 396, 622, 584, 320, 771, 225, 423, 608, 220, 734, 433, 225, 88, 361, 54, 323, 613, 243, 34, 639, 470, 324, 11, 367, 149, 60, 289, 769, 712, 457, 500, 604, 197, 797, 733, 684, 726, 790, 678, 639, 447, 500, 540, 641, 257, 493, 273, 477, 416, 234, 203, 786, 360, 177, 593, 797, 795, 128, 95, 546, 682, 546, 413, 26, 217, 129, 300, 753, 513, 538, 212, 694, 785, 742, 400, 516, 464, 525, 94, 151, 384, 357, 648, 190, 175, 26, 281, 283, 69, 37, 699, 352, 552, 477, 185, 450, 498, 554, 341, 19, 744, 475, 473, 588, 761, 78, 396, 219, 261, 777, 255, 585, 3, 185, 468, 649, 512, 342, 77, 97, 697, 133, 73, 727, 426, 633, 259, 787, 582, 745, 72, 692, 263, 740, 438, 453, 108, 191, 298, 594, 362, 728, 356, 674, 516, 586, 761, 38, 660, 803, 54, 243, 749, 444, 148, 76, 400, 155, 171, 330, 402, 625, 579, 459, 173, 243, 239, 271, 619, 585, 178, 531, 151, 429, 367, 19, 553, 322, 499, 73, 778, 617, 520, 567, 756, 282, 587, 328, 109, 641, 406, 729, 535, 725, 509, 423, 82, 146, 361, 87, 122, 201, 548, 730, 53, 632, 211, 166, 448, 453, 776, 466, 405, 85, 146, 227, 168, 524, 686, 77, 669, 522, 404, 653, 624, 441, 506, 719, 574, 556, 728, 543, 609, 218, 538, 562, 747, 609, 116, 171, 326, 219, 650, 740, 650, 595, 640, 577, 373, 469, 767, 547, 201, 654, 555, 154, 195, 402, 206, 41, 137, 378, 170, 447, 108, 721, 463, 482, 227, 559, 461, 268, 127, 74, 53, 356, 213, 136, 478, 84, 654, 577, 616, 46, 361, 24, 455, 583, 798, 299, 700, 391, 309, 503, 698, 278, 150, 701, 535, 204, 774, 634, 304, 482, 242, 126, 735, 155, 208, 48, 31, 148, 206, 18, 408, 543, 137, 200, 48, 283, 660, 107, 208, 214, 66, 107, 686, 265, 478, 717, 0, 273, 437, 227, 541, 565, 505, 64, 484, 437, 209, 212, 670, 385, 479, 209, 686, 385, 30, 510, 431, 178, 451, 685, 510, 565, 13, 662, 30, 189, 189, 709, 802, 189, 438, 559, 101, 490, 184, 730, 565, 327, 717, 385, 304, 683, 683, 735, 802, 382, 74}

    Returns: {1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1 }

  19. 846

    {691, 815, 315, 582, 235, 678, 632, 676, 2, 442, 112, 645, 842, 832, 759, 68, 404, 295, 818, 434, 633, 780, 20, 784, 786, 571, 21, 68, 311, 674, 505, 169, 496, 121, 134, 810, 405, 414, 313, 824, 607, 254, 337, 491, 458, 704, 235, 393, 79, 697, 688, 631, 220, 842, 468, 420, 825, 301, 499, 90, 381, 384, 161, 781, 77, 486, 325, 104, 440, 435, 805, 84, 42, 259, 396, 661, 433, 93, 419, 160, 233, 655, 565, 784, 745, 710, 707, 347, 364, 751, 245, 476, 827, 301, 550, 240, 304, 157, 523, 95, 683, 31, 175, 464, 826, 749, 783, 222, 540, 626, 532, 509, 42, 525, 844, 799, 757, 659, 273, 593, 672, 600, 703, 221, 354, 380, 109, 389, 653, 720, 134, 167, 271, 213, 343, 558, 336, 363, 589, 845, 796, 173, 838, 495, 310, 66, 235, 707, 413, 637, 707, 296, 336, 801, 628, 312, 520, 809, 533, 316, 687, 548, 164, 776, 252, 438, 435, 594, 689, 626, 439, 738, 540, 739, 342, 530, 363, 424, 598, 176, 716, 610, 111, 687, 408, 744, 712, 745, 335, 214, 739, 745, 569, 628, 662, 319, 551, 279, 61, 503, 713, 574, 542, 165, 485, 420, 121, 201, 41, 189, 268, 35, 299, 355, 192, 317, 620, 321, 461, 410, 640, 620, 86, 492, 84, 214, 741, 361, 14, 216, 602, 483, 93, 496, 718, 68, 123, 0, 390, 79, 548, 670, 477, 228, 210, 652, 31, 75, 634, 208, 666, 337, 604, 78, 91, 712, 226, 223, 59, 279, 2, 808, 380, 798, 838, 170, 46, 724, 209, 210, 318, 657, 592, 744, 368, 466, 431, 555, 199, 155, 237, 163, 306, 184, 304, 85, 107, 202, 111, 362, 408, 242, 460, 123, 590, 734, 477, 708, 187, 251, 374, 99, 786, 135, 637, 117, 631, 253, 767, 182, 749, 637, 777, 107, 354, 359, 689, 182, 390, 176, 477, 1, 572, 595, 730, 236, 495, 483, 272, 85, 418, 649, 646, 824, 295, 555, 499, 318, 291, 471, 395, 376, 601, 649, 564, 88, 838, 733, 360, 552, 561, 780, 492, 518, 774, 816, 307, 544, 648, 275, 802, 263, 778, 283, 212, 558, 259, 399, 406, 311, 544, 480, 411, 334, 751, 329, 511, 206, 323, 324, 58, 292, 766, 733, 744, 1, 830, 828, 164, 787, 269, 432, 614, 563, 713, 512, 718, 537, 216, 250, 200, 627, 768, 563, 436, 571, 432, 386, 85, 777, 167, 238, 90, 218, 106, 201, 505, 211, 342, 32, 214, 696, 206, 287, 217, 802, 501, 801, 158, 746, 629, 551, 132, 124, 822, 161, 76, 69, 395, 208, 275, 13, 402, 177, 417, 217, 357, 458, 835, 354, 480, 10, 668, 691, 539, 608, 603, 762, 115, 249, 29, 734, 69, 525, 99, 602, 300, 121, 191, 292, 12, 587, 20, 547, 669, 723, 709, 220, 77, 474, 746, 622, 196, 330, 125, 774, 201, 111, 666, 747, 363, 44, 659, 223, 546, 526, 283, 344, 371, 288, 802, 539, 25, 368, 466, 695, 189, 352, 351, 339, 209, 242, 336, 392, 678, 262, 115, 59, 177, 598, 151, 17, 78, 40, 19, 216, 753, 313, 69, 740, 654, 139, 253, 267, 248, 480, 535, 398, 350, 325, 693, 409, 64, 726, 706, 47, 711, 596, 793, 147, 377, 166, 396, 268, 288, 147, 438, 154, 456, 113, 405, 145, 481, 617, 694, 14, 128, 47, 337, 117, 98, 315, 671, 322, 665, 752, 709, 12, 710, 70, 98, 820, 183, 797, 61, 521, 727, 208, 7, 79, 232, 663, 718, 832, 585, 236, 131, 5, 298, 258, 294, 126, 239, 10, 225, 230, 426, 347, 406, 221, 424, 151, 152, 219, 537, 762, 340, 753, 760, 835, 494, 528, 564, 430, 28, 675, 712, 222, 396, 537, 510, 810, 375, 151, 153, 112, 450, 252, 63, 574, 774, 748, 566, 40, 174, 761, 217, 504, 688, 762, 575, 769, 732, 52, 100, 693, 530, 733, 373, 458, 370, 237, 556, 418, 462, 138, 174, 675, 215, 328, 338, 8, 207, 333, 450, 769, 590, 821, 40, 115, 704, 318, 493, 0, 293, 512, 21, 579, 416, 504, 559, 461, 53, 359, 575, 334, 164, 430, 506, 536, 649, 675, 686, 97, 584, 501, 610, 264, 607, 30, 324, 808, 32, 399, 714, 102, 841, 381, 793, 3, 747, 70, 327, 30, 262, 308, 761, 202, 219, 829, 705, 763, 314, 430, 119, 422, 638, 493, 15, 803, 524, 403, 271, 73, 238, 820, 230, 558, 403, 6, 669, 245, 204, 801, 179, 526, 788, 153, 568, 74, 6, 135, 654, 604, 413, 171, 742, 443, 49, 55, 655, 290, 352, 123, 140, 621, 523, 588, 719, 194, 244, 190, 566, 517, 641, 427, 47, 248, 681, 755, 575, 651, 49, 138, 95, 173, 293, 706, 224, 243, 719, 344, 441, 593, 759, 800, 299, 297, 545, 714, 193, 207, 811, 231, 536, 287, 763, 255, 260, 479, 285, 368, 331, 133, 594, 427, 615, 253, 84, 794, 8, 535, 349, 281, 74, 330, 48, 819, 265, 261, 533, 528, 105, 27, 200, 317, 486, 789, 114, 361, 657, 247, 532, 469, 59, 135, 781, 693, 682, 612, 52, 397, 728, 825, 622, 375, 245, 623, 302, 737, 292, 686, 275, 96, 170, 391, 385, 18, 570, 448, 738, 153, 457, 276, 450, 509, 759, 416, 303, 553, 720, 341, 619, 732, 451, 387, 1, 267, 587, 635, 742, 179, 655, 127, 570, 728, 446, 427, 487, 764, 533, 228, 285, 140, 281, 393, 821, 700, 239, 671, 31, 4, 205, 388, 330, 478, 647, 53, 302, 56, 731, 609, 578, 116, 230, 825, 266, 615, 23, 472, 632, 656, 448, 618, 633, 517, 93, 278, 50, 270, 162, 118, 213, 51, 35, 340, 96, 237, 409, 520, 385, 33, 460, 326, 282, 17, 618, 788, 34, 272, 168, 625, 735, 807, 105, 62, 766, 658, 604, 639, 54, 526, 636, 451, 470, 263, 673, 553, 454, 664, 359, 656, 29, 222, 783, 24, 100, 423, 429, 557, 545, 684, 770, 587, 758, 700, 539, 379, 594, 796, 605, 669, 803, 80, 414, 452, 387, 596, 256, 634, 28, 462, 227, 621, 831, 326, 370, 198, 835, 401, 804, 725, 613, 467, 635, 346, 395, 701, 662, 351, 485, 785, 143, 823, 634, 9, 224, 41, 428, 591, 636, 701, 431, 70, 814, 671, 601, 349, 119, 219, 62, 830, 497, 578, 274, 154, 81, 836, 82, 114, 770, 779, 459, 803, 444, 764, 579, 416, 514, 621, 386, 400, 710, 692, 462, 584, 73, 696, 132, 534, 386, 630, 131, 310, 798, 758, 86, 274, 685, 75, 296, 543, 411, 510, 454, 277, 601, 643, 234, 425, 688, 697, 319, 372, 787, 591, 240, 816, 667, 772, 309, 136, 72, 823, 530, 26, 118, 159, 5, 229, 599, 577, 133, 685, 543, 229, 519, 391, 194, 652, 782, 108, 519, 487, 339, 412, 447, 264, 127, 55, 645, 650, 672, 326, 358, 743, 561, 568, 508, 771, 88, 785, 319, 248, 366, 146, 813, 258, 101, 836, 308, 624, 167, 284, 442, 348, 274, 249, 837, 453, 497, 348, 171, 650, 138, 843, 169, 750, 147, 320, 630, 606, 5, 65, 812, 75, 215, 760, 24, 130, 136, 639, 576, 82, 722, 104, 827, 205, 224, 523, 822, 186, 186, 244, 608, 682, 198, 165, 82, 513, 494, 624, 812, 518, 724, 717, 444, 266, 142, 382, 513, 625, 268, 136, 349, 465, 782, 347, 333, 72, 372, 168, 203, 129, 92, 522, 585, 845, 421, 507, 148, 464, 599, 565, 333, 516, 565, 534, 129, 482, 661, 599, 771, 72, 113, 309, 148, 522, 810}

    {705, 476, 834, 102, 291, 439, 753, 51, 447, 406, 182, 580, 595, 500, 641, 134, 399, 398, 90, 83, 290, 806, 98, 473, 495, 39, 149, 160, 45, 37, 677, 335, 731, 778, 149, 642, 155, 244, 828, 191, 38, 844, 242, 695, 479, 170, 360, 9, 708, 316, 199, 602, 488, 104, 642, 348, 546, 611, 508, 212, 609, 650, 355, 139, 665, 611, 94, 278, 463, 199, 600, 267, 461, 836, 715, 422, 128, 800, 338, 19, 196, 124, 313, 99, 231, 401, 511, 328, 816, 511, 376, 512, 83, 378, 156, 595, 383, 550, 547, 362, 560, 739, 657, 374, 750, 777, 524, 210, 397, 188, 498, 422, 218, 45, 60, 687, 289, 389, 572, 620, 840, 163, 469, 768, 541, 572, 642, 145, 269, 754, 481, 784, 232, 149, 840, 392, 51, 668, 331, 576, 276, 468, 261, 583, 432, 74, 371, 36, 33, 640, 560, 241, 144, 723, 257, 24, 470, 736, 479, 80, 140, 299, 612, 246, 156, 829, 806, 338, 220, 730, 289, 76, 120, 408, 703, 482, 734, 438, 218, 719, 783, 16, 36, 335, 456, 804, 352, 716, 340, 844, 490, 806, 194, 9, 791, 498, 241, 193, 321, 381, 145, 677, 713, 436, 677, 120, 499, 372, 525, 356, 2, 251, 776, 76, 663, 455, 508, 183, 833, 437, 611, 22, 501, 730, 580, 614, 441, 725, 615, 683, 746, 554, 571, 619, 37, 790, 706, 312, 683, 751, 100, 7, 103, 377, 265, 143, 795, 616, 665, 357, 390, 298, 404, 727, 166, 434, 325, 667, 332, 189, 162, 66, 364, 775, 488, 10, 795, 66, 583, 517, 768, 46, 664, 728, 457, 382, 332, 409, 251, 658, 488, 830, 17, 341, 782, 213, 227, 44, 58, 195, 314, 190, 721, 358, 841, 304, 94, 190, 323, 617, 500, 471, 176, 243, 607, 492, 588, 674, 250, 4, 820, 614, 174, 515, 38, 419, 672, 103, 247, 827, 767, 809, 197, 15, 298, 141, 843, 184, 765, 56, 581, 250, 44, 324, 11, 472, 644, 628, 271, 573, 384, 789, 435, 96, 355, 223, 168, 474, 60, 109, 702, 592, 603, 475, 829, 215, 702, 498, 448, 633, 297, 146, 586, 711, 627, 456, 749, 676, 589, 703, 588, 747, 643, 580, 57, 301, 597, 791, 809, 57, 463, 674, 717, 600, 25, 437, 384, 789, 714, 689, 55, 13, 752, 791, 291, 680, 156, 350, 316, 786, 589, 681, 515, 740, 270, 463, 586, 598, 701, 404, 192, 107, 152, 449, 729, 62, 376, 505, 590, 767, 158, 178, 452, 529, 23, 815, 659, 188, 369, 157, 800, 178, 434, 184, 437, 181, 546, 389, 323, 256, 828, 424, 255, 670, 636, 554, 556, 514, 775, 797, 192, 474, 334, 71, 773, 361, 491, 290, 619, 211, 144, 281, 420, 503, 110, 371, 468, 702, 694, 83, 426, 311, 294, 403, 776, 78, 7, 679, 362, 780, 763, 23, 564, 193, 529, 531, 293, 405, 4, 64, 71, 494, 172, 773, 691, 653, 18, 773, 616, 14, 807, 175, 81, 259, 640, 3, 833, 449, 388, 618, 742, 110, 726, 673, 617, 282, 54, 345, 436, 521, 471, 785, 779, 109, 103, 52, 197, 623, 824, 440, 592, 716, 117, 631, 569, 653, 597, 195, 840, 322, 178, 39, 108, 469, 392, 400, 548, 3, 254, 106, 132, 740, 206, 573, 668, 765, 257, 444, 443, 788, 29, 373, 343, 305, 839, 163, 726, 377, 664, 552, 698, 139, 119, 756, 27, 342, 315, 202, 792, 345, 834, 397, 738, 327, 197, 815, 159, 648, 433, 128, 415, 154, 280, 63, 758, 708, 516, 576, 638, 464, 365, 817, 627, 519, 612, 166, 64, 200, 28, 686, 647, 21, 243, 19, 610, 670, 226, 77, 834, 676, 839, 350, 524, 6, 152, 144, 112, 418, 451, 131, 652, 623, 327, 793, 606, 660, 833, 556, 764, 478, 341, 504, 67, 756, 761, 225, 410, 433, 375, 343, 658, 481, 110, 680, 521, 586, 790, 209, 143, 484, 37, 89, 240, 226, 792, 529, 383, 593, 496, 549, 379, 805, 294, 124, 204, 473, 554, 566, 312, 57, 532, 280, 410, 412, 239, 41, 626, 257, 305, 300, 741, 58, 553, 169, 118, 648, 704, 500, 842, 204, 578, 778, 428, 754, 663, 300, 690, 302, 398, 282, 638, 466, 297, 49, 423, 181, 799, 582, 503, 823, 528, 157, 544, 232, 137, 234, 644, 360, 414, 317, 120, 647, 808, 679, 288, 723, 756, 387, 442, 238, 314, 280, 666, 346, 265, 97, 775, 794, 814, 717, 826, 635, 351, 482, 379, 287, 191, 770, 805, 736, 622, 241, 574, 446, 175, 551, 679, 43, 369, 155, 552, 60, 818, 87, 732, 473, 711, 695, 30, 0, 804, 38, 509, 125, 557, 700, 173, 331, 541, 832, 252, 346, 344, 227, 643, 597, 322, 483, 755, 32, 125, 246, 792, 87, 605, 42, 568, 736, 236, 699, 16, 757, 769, 177, 715, 709, 831, 538, 518, 449, 752, 183, 680, 20, 196, 720, 748, 446, 261, 262, 460, 296, 547, 106, 662, 559, 22, 608, 540, 692, 88, 95, 520, 735, 305, 748, 34, 18, 455, 535, 439, 122, 514, 419, 722, 570, 113, 229, 97, 727, 374, 278, 273, 87, 345, 557, 370, 246, 549, 105, 185, 735, 127, 591, 61, 116, 705, 613, 531, 562, 101, 656, 36, 285, 80, 394, 646, 221, 582, 581, 457, 441, 161, 307, 417, 185, 411, 207, 819, 365, 160, 796, 94, 644, 46, 755, 455, 63, 364, 685, 818, 472, 71, 772, 415, 171, 225, 205, 284, 583, 651, 56, 757, 563, 684, 272, 228, 531, 195, 581, 276, 146, 179, 373, 357, 126, 233, 559, 54, 826, 831, 231, 158, 328, 443, 486, 425, 306, 277, 255, 401, 13, 645, 383, 102, 660, 765, 380, 89, 67, 609, 211, 391, 263, 339, 35, 92, 743, 453, 470, 467, 89, 332, 283, 721, 502, 185, 417, 541, 367, 43, 667, 369, 506, 684, 538, 678, 562, 50, 453, 798, 33, 459, 22, 11, 536, 279, 484, 555, 43, 490, 697, 310, 366, 616, 489, 510, 172, 543, 165, 629, 73, 569, 445, 790, 484, 388, 560, 45, 12, 573, 412, 613, 358, 596, 646, 269, 400, 445, 721, 303, 542, 234, 794, 277, 270, 724, 725, 34, 577, 513, 741, 303, 67, 729, 787, 329, 162, 122, 639, 65, 632, 467, 431, 233, 660, 475, 694, 8, 584, 86, 550, 545, 465, 781, 114, 320, 821, 654, 737, 254, 527, 321, 440, 807, 256, 506, 141, 247, 817, 378, 249, 15, 428, 819, 181, 538, 447, 817, 722, 715, 426, 737, 489, 797, 11, 549, 122, 445, 198, 382, 651, 452, 258, 180, 489, 415, 490, 606, 822, 407, 367, 605, 625, 841, 367, 425, 356, 308, 91, 101, 772, 172, 126, 579, 188, 542, 393, 116, 423, 53, 779, 641, 150, 837, 476, 137, 27, 289, 320, 673, 629, 603, 567, 378, 407, 25, 475, 307, 273, 260, 795, 159, 187, 681, 731, 150, 264, 65, 527, 421, 180, 491, 699, 203, 187, 16, 729, 837, 771, 141, 385, 515, 839, 81, 295, 309, 567, 353, 754, 329, 497, 534, 26, 478, 459, 843, 366, 630, 353, 814, 743, 26, 487, 212, 661, 750, 567, 811, 39, 562, 766, 133, 394, 130, 148, 561, 454, 50, 91, 356, 690, 284, 180, 624, 421, 577, 203, 507, 129, 108, 493, 682, 760, 502, 690, 845, 698, 130, 286, 465, 137, 260, 394, 811, 692, 696, 266, 698, 286, 407, 353, 429, 306, 150, 365, 813, 48, 812, 186, 507, 799, 502, 813, 92, 402, 485, 527, 402, 699, 516, 413, 429, 585, 142, 48, 286, 142, 522}

    Returns: {0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1 }

  20. 880

    {430, 634, 13, 119, 725, 706, 830, 513, 826, 420, 21, 286, 681, 810, 397, 115, 672, 453, 586, 37, 853, 492, 749, 117, 501, 428, 556, 129, 233, 593, 537, 308, 312, 607, 646, 425, 826, 123, 245, 744, 358, 713, 779, 757, 323, 832, 793, 283, 600, 440, 272, 592, 386, 864, 353, 612, 15, 158, 796, 872, 258, 74, 635, 54, 311, 675, 396, 740, 366, 389, 86, 803, 766, 425, 776, 238, 17, 331, 807, 258, 327, 653, 820, 75, 737, 9, 849, 429, 829, 549, 315, 712, 592, 577, 749, 629, 251, 208, 566, 325, 694, 523, 246, 358, 490, 769, 496, 196, 503, 223, 217, 808, 65, 733, 808, 405, 533, 72, 795, 245, 399, 816, 54, 202, 811, 501, 724, 351, 760, 677, 132, 503, 477, 182, 110, 656, 810, 117, 57, 470, 838, 256, 607, 339, 353, 314, 672, 815, 0, 293, 746, 36, 758, 291, 486, 716, 515, 753, 189, 349, 220, 24, 310, 255, 12, 79, 519, 282, 19, 564, 612, 681, 28, 634, 13, 88, 742, 306, 68, 491, 479, 542, 738, 330, 424, 119, 534, 417, 697, 8, 803, 500, 204, 800, 172, 767, 500, 247, 145, 541, 117, 824, 5, 395, 854, 633, 571, 460, 408, 399, 253, 678, 295, 346, 77, 353, 704, 859, 435, 16, 565, 17, 429, 493, 841, 746, 793, 656, 641, 685, 50, 798, 188, 82, 173, 735, 273, 874, 650, 127, 708, 56, 274, 241, 732, 186, 521, 122, 182, 841, 37, 347, 16, 280, 124, 191, 742, 191, 544, 823, 53, 60, 740, 159, 319, 563, 298, 344, 505, 803, 687, 217, 833, 442, 112, 546, 81, 580, 135, 272, 547, 439, 465, 244, 682, 34, 621, 306, 494, 275, 249, 823, 544, 605, 332, 272, 38, 650, 9, 534, 872, 817, 714, 120, 326, 180, 116, 489, 539, 432, 450, 65, 410, 746, 438, 202, 39, 94, 818, 364, 793, 232, 815, 827, 342, 874, 522, 161, 219, 196, 695, 483, 845, 453, 614, 620, 504, 855, 851, 853, 787, 567, 442, 874, 327, 443, 624, 383, 629, 380, 133, 124, 580, 787, 529, 140, 502, 415, 433, 89, 29, 772, 870, 492, 518, 812, 296, 76, 148, 235, 193, 148, 114, 618, 174, 754, 66, 762, 211, 173, 80, 282, 384, 730, 510, 667, 24, 408, 248, 328, 493, 492, 589, 36, 398, 588, 46, 631, 287, 96, 624, 409, 300, 131, 638, 289, 526, 365, 626, 647, 612, 547, 711, 487, 168, 545, 251, 748, 700, 410, 659, 781, 587, 442, 51, 515, 301, 825, 255, 518, 591, 790, 848, 170, 627, 542, 726, 660, 138, 832, 87, 568, 35, 368, 576, 868, 225, 798, 496, 371, 763, 288, 110, 162, 343, 348, 412, 709, 555, 611, 433, 540, 315, 288, 7, 568, 341, 196, 805, 485, 96, 566, 514, 508, 229, 679, 588, 317, 672, 866, 527, 349, 65, 695, 692, 638, 166, 44, 29, 233, 230, 730, 85, 334, 408, 663, 680, 774, 421, 422, 2, 676, 328, 279, 278, 600, 678, 678, 519, 20, 778, 344, 692, 85, 772, 511, 294, 51, 280, 837, 637, 750, 165, 73, 291, 615, 395, 838, 238, 247, 659, 439, 155, 209, 179, 852, 302, 226, 297, 10, 832, 290, 410, 316, 109, 260, 93, 626, 839, 489, 512, 490, 474, 752, 829, 845, 532, 600, 152, 304, 420, 60, 262, 564, 625, 671, 796, 99, 733, 611, 268, 761, 403, 381, 596, 301, 555, 472, 635, 378, 602, 531, 792, 827, 397, 498, 440, 865, 115, 838, 10, 135, 243, 5, 543, 735, 719, 141, 831, 727, 846, 530, 759, 534, 191, 382, 133, 811, 21, 254, 360, 443, 80, 72, 824, 166, 529, 259, 594, 572, 329, 859, 613, 737, 624, 242, 257, 707, 163, 275, 693, 770, 229, 11, 549, 565, 734, 425, 387, 608, 365, 563, 734, 791, 858, 463, 879, 205, 386, 654, 23, 671, 662, 878, 872, 593, 63, 10, 303, 846, 152, 778, 374, 209, 726, 476, 293, 603, 852, 382, 156, 561, 181, 42, 820, 252, 220, 743, 232, 833, 786, 263, 789, 324, 512, 682, 819, 551, 837, 550, 294, 649, 293, 711, 416, 760, 175, 208, 625, 507, 123, 645, 391, 354, 849, 216, 334, 522, 578, 378, 67, 153, 724, 194, 237, 723, 878, 583, 221, 722, 310, 754, 559, 53, 801, 70, 367, 385, 839, 341, 714, 474, 271, 794, 514, 788, 801, 201, 392, 701, 121, 763, 90, 358, 596, 717, 854, 696, 812, 277, 60, 255, 77, 188, 658, 367, 344, 357, 130, 766, 55, 581, 429, 152, 716, 561, 639, 799, 91, 786, 224, 733, 403, 535, 618, 632, 570, 621, 399, 172, 748, 463, 136, 615, 166, 621, 845, 39, 348, 561, 462, 604, 254, 160, 62, 78, 473, 531, 444, 230, 646, 772, 781, 389, 482, 4, 780, 136, 289, 851, 789, 699, 800, 229, 92, 491, 405, 190, 585, 768, 40, 221, 182, 843, 237, 666, 775, 540, 407, 797, 128, 241, 673, 127, 698, 431, 129, 352, 574, 146, 638, 4, 287, 601, 435, 104, 101, 528, 411, 185, 428, 437, 134, 414, 499, 479, 396, 400, 431, 234, 118, 477, 315, 266, 404, 783, 7, 710, 373, 237, 378, 323, 558, 351, 138, 223, 401, 396, 331, 316, 339, 480, 491, 390, 674, 784, 153, 458, 769, 252, 265, 227, 673, 520, 831, 587, 345, 768, 607, 622, 116, 140, 802, 448, 47, 108, 14, 792, 109, 788, 510, 463, 199, 536, 631, 599, 22, 508, 596, 454, 780, 46, 517, 227, 582, 383, 62, 751, 363, 215, 694, 50, 690, 654, 218, 76, 862, 850, 450, 113, 125, 159, 204, 663, 556, 451, 557, 485, 528, 300, 389, 857, 449, 277, 324, 879, 834, 101, 83, 709, 511, 28, 458, 774, 717, 511, 616, 517, 86, 483, 864, 625, 481, 206, 718, 509, 751, 546, 114, 391, 642, 6, 68, 799, 633, 791, 228, 781, 92, 815, 236, 213, 219, 516, 693, 167, 346, 470, 260, 201, 451, 456, 363, 302, 739, 319, 172, 387, 778, 581, 654, 2, 167, 510, 569, 867, 856, 257, 645, 97, 562, 593, 693, 847, 133, 318, 470, 198, 402, 337, 736, 530, 702, 717, 212, 19, 243, 176, 844, 822, 676, 47, 407, 623, 57, 162, 427, 360, 866, 189, 465, 67, 690, 794, 495, 745, 456, 292, 637, 835, 820, 708, 373, 814, 655, 449, 93, 362, 281, 320, 100, 743, 362, 761, 701, 193, 356, 582, 449, 594, 113, 402, 359, 11, 521, 456, 415, 213, 258, 585, 267, 22, 15, 727, 340, 132, 71, 411, 782, 188, 48, 775, 239, 475, 804, 536, 234, 643, 597, 169, 370, 559, 338, 59, 413, 186, 821, 372, 26, 412, 114, 164, 471, 522, 569, 680, 806, 132, 20, 204, 397, 301, 683, 268, 780, 835, 720, 577, 160, 862, 524, 285, 809, 513, 192, 360, 412, 268, 355, 566, 139, 180, 150, 384, 106, 548, 756, 683, 269, 575, 548, 670, 203, 732, 388, 179, 91, 109, 628, 102, 504, 461, 43, 806, 81, 198, 805, 373, 764, 617, 90, 436, 873, 673, 797, 747, 562, 459, 361, 381, 437, 350, 231, 411, 505, 5, 164, 598, 407, 669, 464, 497, 454, 423, 773, 72, 539, 181, 99, 338, 355, 800, 743, 560, 0, 343, 606, 773, 461, 185, 710, 34, 436, 648, 215, 657, 783, 844, 168, 264, 597, 617, 3, 18, 120, 214, 865, 498, 416, 249, 863, 352, 427, 130, 499, 426, 264, 340, 151, 151, 480, 475, 376, 142, 498, 419, 610, 473, 520, 513, 755, 393, 705, 328, 589, 648, 27, 314, 131, 756, 391, 138, 198, 368, 584, 164, 573, 867, 457, 657, 809, 536, 49, 368, 352, 49, 266, 842, 830, 802, 525, 651, 377, 25, 705, 33, 176, 150, 471, 468, 856, 398, 102, 200, 313, 804, 149, 404, 861, 55, 270, 506, 207, 861, 338, 69, 452, 69, 377, 55}

    {66, 174, 143, 666, 423, 231, 61, 640, 557, 217, 719, 711, 501, 720, 699, 320, 432, 68, 111, 445, 221, 821, 265, 284, 298, 75, 712, 533, 158, 828, 818, 667, 50, 230, 840, 203, 305, 686, 552, 213, 99, 32, 662, 767, 551, 703, 497, 622, 602, 371, 850, 388, 712, 202, 641, 62, 677, 418, 542, 58, 691, 92, 737, 422, 550, 383, 630, 601, 154, 155, 626, 122, 61, 776, 741, 44, 554, 385, 759, 445, 325, 126, 460, 19, 375, 645, 283, 659, 840, 681, 131, 325, 632, 326, 676, 563, 750, 555, 242, 532, 631, 532, 304, 401, 579, 779, 545, 537, 759, 836, 312, 806, 813, 24, 649, 200, 159, 840, 31, 876, 716, 409, 741, 41, 771, 291, 599, 475, 141, 853, 808, 849, 306, 771, 432, 342, 333, 807, 698, 224, 590, 478, 256, 273, 583, 337, 107, 177, 233, 178, 540, 784, 724, 257, 636, 1, 52, 384, 671, 738, 579, 609, 691, 467, 61, 430, 126, 170, 697, 309, 45, 21, 263, 20, 44, 696, 841, 606, 89, 326, 721, 677, 38, 688, 811, 457, 736, 546, 652, 665, 56, 162, 156, 661, 715, 570, 466, 704, 462, 135, 414, 224, 837, 388, 249, 455, 181, 177, 256, 723, 294, 313, 39, 13, 741, 836, 692, 543, 590, 177, 438, 767, 299, 839, 354, 414, 533, 462, 139, 609, 587, 253, 603, 833, 679, 797, 554, 322, 421, 553, 870, 576, 696, 747, 725, 38, 263, 428, 369, 171, 524, 247, 487, 762, 550, 119, 143, 210, 278, 26, 703, 197, 674, 488, 312, 145, 648, 174, 868, 854, 165, 363, 406, 438, 419, 507, 103, 85, 760, 792, 665, 97, 351, 75, 512, 98, 639, 439, 124, 505, 753, 214, 790, 147, 115, 329, 604, 641, 112, 706, 687, 283, 668, 490, 700, 406, 395, 666, 701, 476, 356, 413, 195, 145, 81, 91, 745, 708, 30, 771, 519, 190, 381, 56, 348, 609, 494, 42, 299, 94, 59, 866, 406, 460, 487, 154, 755, 400, 316, 873, 611, 253, 342, 751, 515, 831, 568, 636, 310, 211, 205, 605, 691, 630, 791, 154, 227, 280, 194, 211, 446, 824, 74, 704, 226, 647, 274, 64, 613, 493, 694, 250, 431, 361, 813, 347, 347, 827, 503, 205, 355, 67, 53, 813, 281, 349, 111, 523, 488, 74, 240, 150, 608, 562, 753, 551, 380, 103, 592, 137, 722, 817, 502, 104, 354, 334, 553, 63, 494, 738, 445, 79, 382, 547, 484, 836, 149, 544, 661, 752, 816, 273, 864, 571, 309, 496, 614, 302, 860, 723, 71, 121, 482, 825, 143, 687, 688, 105, 630, 446, 79, 869, 54, 70, 212, 238, 297, 66, 251, 304, 129, 749, 413, 248, 23, 308, 575, 618, 857, 7, 148, 435, 715, 386, 155, 100, 835, 30, 303, 591, 447, 424, 199, 64, 859, 446, 543, 364, 289, 290, 103, 241, 455, 478, 376, 468, 850, 218, 860, 474, 298, 476, 184, 11, 236, 97, 140, 706, 422, 871, 574, 46, 825, 798, 472, 295, 647, 357, 101, 870, 259, 35, 111, 125, 318, 860, 852, 31, 684, 787, 275, 523, 23, 614, 821, 73, 374, 495, 448, 517, 455, 88, 284, 372, 127, 537, 335, 303, 679, 12, 499, 467, 84, 586, 518, 329, 684, 702, 248, 141, 595, 765, 616, 590, 539, 369, 71, 173, 447, 675, 276, 107, 88, 80, 876, 689, 158, 390, 226, 572, 392, 817, 469, 245, 40, 356, 478, 752, 875, 113, 785, 731, 586, 14, 467, 48, 218, 58, 765, 183, 453, 380, 420, 482, 83, 526, 484, 225, 572, 668, 259, 52, 790, 516, 876, 628, 620, 12, 485, 261, 819, 105, 333, 175, 222, 77, 234, 700, 246, 571, 430, 686, 43, 682, 42, 785, 588, 814, 450, 433, 271, 729, 557, 623, 795, 110, 663, 713, 465, 877, 267, 507, 240, 269, 535, 305, 613, 868, 747, 201, 818, 545, 541, 94, 219, 83, 403, 495, 239, 629, 535, 847, 262, 443, 842, 848, 816, 486, 242, 144, 126, 246, 675, 417, 731, 232, 707, 608, 357, 185, 195, 622, 527, 339, 31, 637, 834, 472, 526, 616, 222, 33, 627, 699, 136, 698, 265, 848, 574, 686, 660, 345, 364, 157, 73, 646, 335, 585, 796, 100, 434, 785, 786, 385, 208, 703, 285, 186, 858, 223, 745, 480, 486, 327, 279, 757, 822, 282, 278, 9, 757, 541, 157, 664, 582, 768, 210, 662, 735, 843, 469, 336, 409, 48, 59, 879, 718, 684, 16, 366, 669, 597, 591, 84, 36, 668, 193, 636, 279, 814, 527, 683, 17, 643, 128, 183, 661, 417, 862, 184, 514, 605, 742, 697, 341, 366, 530, 346, 194, 810, 102, 595, 777, 277, 6, 362, 321, 869, 444, 192, 764, 458, 707, 754, 812, 762, 175, 509, 137, 603, 809, 576, 685, 575, 22, 765, 801, 822, 604, 322, 290, 656, 758, 580, 573, 240, 436, 228, 171, 525, 441, 556, 779, 252, 370, 521, 758, 243, 392, 685, 719, 843, 105, 207, 367, 750, 405, 40, 731, 393, 332, 506, 722, 212, 361, 516, 725, 653, 763, 89, 595, 295, 720, 116, 106, 165, 878, 220, 477, 488, 307, 8, 235, 180, 308, 305, 782, 64, 179, 729, 82, 2, 171, 107, 4, 578, 418, 695, 160, 730, 650, 271, 559, 330, 104, 715, 619, 579, 8, 736, 610, 851, 451, 276, 599, 345, 178, 789, 49, 374, 658, 317, 6, 667, 564, 311, 734, 674, 728, 610, 565, 82, 823, 702, 35, 777, 336, 225, 184, 309, 393, 774, 400, 509, 670, 276, 459, 317, 714, 337, 156, 222, 86, 235, 554, 802, 147, 183, 652, 322, 323, 577, 775, 769, 441, 770, 288, 18, 606, 748, 244, 619, 250, 484, 552, 448, 112, 244, 63, 18, 558, 319, 27, 377, 359, 457, 192, 28, 583, 729, 332, 318, 335, 642, 45, 643, 375, 262, 3, 161, 770, 209, 528, 660, 32, 122, 261, 788, 98, 721, 447, 169, 619, 281, 652, 190, 170, 520, 479, 718, 199, 639, 567, 721, 0, 830, 766, 871, 87, 287, 371, 598, 250, 602, 350, 655, 33, 658, 93, 829, 37, 336, 466, 560, 633, 84, 548, 761, 87, 871, 553, 728, 95, 466, 108, 254, 423, 628, 664, 95, 473, 1, 632, 176, 285, 90, 314, 51, 267, 121, 784, 214, 98, 857, 137, 421, 709, 76, 690, 560, 424, 807, 635, 320, 627, 167, 163, 826, 427, 123, 379, 727, 144, 777, 844, 372, 567, 649, 324, 95, 134, 330, 500, 710, 858, 379, 195, 469, 578, 594, 78, 333, 502, 506, 157, 481, 869, 390, 32, 350, 292, 783, 877, 70, 454, 570, 401, 47, 27, 29, 375, 321, 444, 239, 387, 169, 299, 284, 713, 437, 805, 300, 468, 416, 615, 651, 286, 286, 739, 26, 359, 623, 307, 270, 773, 875, 269, 651, 620, 657, 394, 321, 538, 726, 369, 664, 776, 558, 655, 215, 296, 634, 581, 376, 228, 14, 236, 168, 307, 688, 118, 795, 601, 297, 331, 865, 508, 665, 343, 203, 525, 146, 855, 130, 108, 524, 415, 144, 274, 653, 30, 875, 489, 617, 151, 804, 125, 216, 739, 270, 867, 877, 404, 189, 197, 680, 756, 640, 146, 394, 863, 142, 549, 292, 78, 740, 365, 584, 459, 178, 41, 441, 552, 846, 197, 206, 370, 504, 538, 497, 799, 847, 187, 828, 598, 43, 642, 755, 669, 464, 118, 464, 531, 264, 207, 216, 764, 873, 434, 1, 34, 147, 481, 296, 644, 313, 15, 529, 128, 139, 52, 231, 161, 819, 379, 25, 311, 394, 57, 842, 863, 644, 426, 419, 861, 584, 483, 41, 426, 149, 732, 418, 106, 670, 58, 782, 134, 452, 828, 744, 45, 210, 200, 589, 163, 120, 573, 402, 434, 187, 794, 398, 538, 153, 689, 266, 471, 142, 261, 834, 96, 452, 855, 744, 69, 856, 340, 689, 187, 25, 3, 705, 260, 728, 440, 206, 644, 569, 461, 640}

    Returns: {0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1 }

  21. 960

    {681, 810, 702, 160, 244, 185, 296, 259, 479, 444, 929, 613, 634, 263, 845, 654, 701, 163, 157, 739, 248, 318, 809, 320, 393, 617, 778, 105, 361, 405, 562, 197, 803, 861, 120, 778, 152, 261, 471, 689, 922, 951, 622, 739, 529, 595, 954, 861, 397, 925, 433, 307, 868, 276, 270, 939, 650, 104, 513, 457, 84, 936, 10, 322, 543, 417, 59, 493, 17, 205, 874, 770, 541, 525, 326, 313, 838, 8, 913, 639, 364, 223, 137, 154, 529, 423, 675, 12, 278, 934, 729, 112, 726, 173, 856, 131, 101, 623, 255, 385, 817, 57, 185, 744, 36, 701, 915, 279, 83, 862, 175, 404, 14, 461, 250, 897, 66, 163, 427, 705, 719, 137, 437, 802, 269, 892, 126, 295, 646, 891, 120, 194, 731, 863, 430, 383, 289, 378, 258, 561, 157, 755, 933, 499, 215, 725, 774, 55, 306, 953, 13, 748, 864, 145, 2, 847, 242, 285, 713, 795, 265, 954, 64, 539, 416, 495, 683, 108, 762, 932, 218, 470, 714, 470, 278, 551, 842, 307, 480, 28, 647, 67, 392, 698, 656, 292, 942, 776, 352, 941, 110, 566, 933, 313, 201, 107, 598, 608, 474, 624, 421, 426, 640, 113, 244, 145, 71, 385, 314, 415, 613, 51, 212, 563, 883, 891, 74, 122, 897, 332, 455, 25, 923, 444, 346, 333, 164, 565, 490, 864, 851, 609, 258, 43, 426, 899, 615, 766, 710, 396, 146, 742, 239, 400, 258, 436, 297, 475, 136, 211, 586, 504, 639, 68, 69, 53, 916, 358, 933, 487, 949, 625, 548, 279, 122, 168, 398, 916, 307, 387, 744, 523, 549, 860, 35, 74, 500, 826, 151, 200, 657, 746, 64, 343, 682, 275, 309, 448, 634, 202, 555, 43, 45, 10, 679, 401, 48, 566, 734, 874, 255, 187, 19, 828, 500, 593, 30, 261, 20, 812, 320, 148, 752, 381, 889, 240, 514, 81, 512, 747, 403, 465, 741, 602, 32, 462, 688, 380, 679, 832, 709, 263, 82, 391, 575, 733, 153, 46, 801, 779, 522, 281, 942, 204, 587, 688, 336, 518, 694, 403, 764, 299, 540, 317, 271, 947, 838, 653, 494, 175, 348, 512, 842, 50, 217, 94, 223, 370, 526, 781, 848, 773, 371, 707, 793, 336, 894, 639, 76, 473, 678, 651, 79, 744, 59, 130, 629, 236, 136, 880, 612, 59, 934, 234, 720, 344, 76, 935, 707, 248, 600, 719, 657, 42, 798, 458, 10, 813, 831, 466, 237, 713, 137, 636, 1, 596, 121, 91, 17, 369, 141, 642, 75, 777, 362, 843, 103, 880, 919, 381, 475, 353, 143, 119, 96, 646, 910, 8, 149, 590, 92, 635, 622, 696, 93, 932, 322, 789, 57, 314, 456, 576, 910, 112, 208, 686, 471, 35, 952, 442, 293, 633, 264, 846, 825, 714, 661, 584, 340, 815, 811, 739, 67, 292, 408, 247, 628, 292, 593, 931, 171, 631, 586, 883, 101, 374, 489, 857, 728, 171, 644, 649, 411, 245, 916, 362, 304, 227, 847, 893, 843, 449, 62, 792, 486, 617, 346, 578, 591, 34, 641, 116, 101, 549, 122, 42, 783, 656, 828, 911, 633, 635, 776, 870, 141, 700, 925, 203, 81, 698, 746, 579, 515, 575, 280, 651, 865, 788, 66, 460, 714, 316, 448, 29, 869, 676, 231, 902, 873, 4, 850, 455, 422, 864, 715, 895, 951, 568, 796, 557, 85, 905, 194, 335, 140, 762, 552, 859, 279, 685, 360, 128, 188, 644, 507, 162, 816, 149, 534, 365, 447, 291, 565, 930, 826, 359, 136, 917, 14, 795, 753, 649, 447, 117, 420, 763, 539, 87, 382, 340, 515, 846, 417, 869, 52, 601, 601, 461, 118, 334, 818, 348, 213, 134, 580, 672, 370, 226, 727, 524, 540, 14, 174, 560, 620, 208, 532, 787, 806, 118, 948, 298, 216, 807, 386, 65, 801, 549, 18, 67, 271, 402, 876, 423, 296, 519, 750, 589, 544, 805, 106, 367, 687, 335, 198, 869, 625, 780, 38, 151, 381, 432, 955, 614, 364, 785, 911, 499, 583, 414, 297, 589, 166, 275, 901, 809, 210, 300, 469, 743, 959, 471, 627, 633, 7, 330, 726, 93, 42, 616, 892, 736, 628, 80, 302, 106, 546, 606, 747, 617, 576, 759, 716, 795, 147, 74, 281, 357, 732, 273, 930, 614, 675, 169, 564, 83, 528, 594, 283, 825, 907, 143, 171, 867, 901, 66, 125, 844, 34, 880, 929, 75, 114, 451, 531, 414, 733, 840, 418, 30, 34, 334, 395, 599, 393, 187, 216, 595, 741, 248, 230, 612, 698, 489, 183, 158, 823, 445, 671, 166, 585, 407, 804, 487, 530, 246, 815, 936, 86, 928, 329, 196, 265, 289, 5, 422, 732, 472, 102, 390, 912, 780, 48, 649, 328, 724, 802, 456, 709, 338, 275, 769, 547, 132, 256, 708, 149, 361, 783, 182, 508, 172, 15, 603, 924, 24, 865, 619, 501, 125, 722, 783, 377, 198, 680, 930, 95, 811, 477, 835, 214, 15, 923, 920, 850, 254, 362, 170, 599, 333, 413, 325, 843, 207, 784, 607, 503, 920, 221, 121, 412, 138, 501, 172, 816, 567, 285, 70, 506, 655, 419, 75, 82, 448, 485, 877, 54, 194, 927, 636, 519, 423, 926, 370, 452, 763, 728, 585, 692, 126, 432, 548, 316, 265, 834, 664, 345, 361, 509, 375, 239, 419, 344, 3, 436, 63, 626, 957, 309, 371, 209, 379, 723, 496, 922, 141, 56, 193, 92, 700, 905, 571, 547, 80, 770, 286, 591, 491, 850, 524, 158, 893, 854, 435, 302, 282, 55, 337, 281, 729, 775, 703, 20, 624, 620, 582, 506, 559, 655, 56, 691, 952, 39, 372, 180, 373, 831, 9, 400, 735, 331, 40, 36, 138, 538, 449, 814, 207, 176, 571, 908, 851, 793, 589, 796, 245, 88, 256, 547, 676, 183, 231, 647, 608, 78, 503, 329, 442, 947, 663, 413, 709, 836, 807, 58, 871, 690, 306, 551, 550, 737, 474, 27, 829, 267, 648, 379, 483, 915, 792, 854, 437, 885, 830, 699, 545, 317, 488, 199, 498, 330, 334, 294, 182, 211, 397, 38, 86, 312, 231, 941, 18, 79, 735, 940, 600, 347, 749, 645, 420, 170, 853, 365, 223, 155, 652, 509, 699, 440, 127, 650, 674, 254, 454, 558, 886, 377, 300, 525, 772, 661, 757, 424, 602, 167, 731, 214, 181, 794, 410, 344, 86, 844, 196, 659, 853, 736, 274, 88, 400, 906, 160, 558, 304, 597, 180, 614, 908, 335, 268, 883, 947, 871, 693, 277, 755, 124, 701, 290, 33, 754, 356, 478, 110, 195, 692, 38, 915, 308, 354, 325, 135, 46, 819, 770, 579, 514, 219, 710, 222, 868, 615, 643, 84, 773, 621, 703, 623, 262, 270, 424, 478, 391, 61, 459, 18, 352, 716, 677, 955, 47, 582, 597, 777, 666, 794, 25, 896, 493, 478, 476, 468, 923, 148, 116, 605, 587, 738, 262, 767, 502, 678, 427, 854, 202, 671, 742, 78, 0, 876, 486, 160, 544, 945, 667, 673, 409, 872, 856, 443, 445, 237, 142, 723, 486, 72, 496, 259, 399, 750, 919, 103, 730, 845, 538, 800, 585, 818, 25, 142, 812, 604, 421, 682, 376, 945, 46, 310, 225, 533, 495, 556, 225, 267, 96, 100, 27, 603, 797, 236, 368, 472, 389, 62, 186, 273, 145, 169, 630, 53, 199, 9, 410, 421, 581, 821, 476, 616, 150, 574, 477, 860, 291, 718, 590, 382, 542, 195, 559, 680, 444, 730, 896, 159, 217, 462, 706, 40, 673, 737, 523, 159, 467, 111, 152, 32, 660, 399, 428, 26, 719, 95, 944, 844, 720, 860, 350, 350, 921, 767, 189, 252, 383, 247, 866, 652, 268, 351, 806, 648, 354, 429, 453, 637, 161, 234, 16, 810, 896, 229, 592, 758, 210, 247, 287, 523, 665, 5, 11, 469, 912, 494, 394, 746, 111, 0, 722, 855, 849, 148, 536, 558, 687, 814, 139, 446, 339, 111, 528, 220, 654, 610, 645, 282, 873, 756, 33, 209, 338, 102, 509, 272, 859, 33, 288, 855, 890, 259, 756, 563, 71, 789, 26, 553, 439, 191, 440, 725, 955, 621, 114, 176, 572, 807, 900, 497, 637, 303, 653, 224, 329, 829, 339, 102, 73, 468, 237, 525, 662, 283, 755, 61, 184, 191, 928, 23, 956, 123, 341, 266, 184, 319, 49, 890, 439, 597, 520, 492, 356, 272, 921, 89, 546, 687, 190, 308, 876, 114, 749, 60, 484, 877, 542, 249, 360, 277, 123, 89, 632, 885, 287, 686, 446, 712, 837, 128, 161, 668, 454, 404, 100, 849, 606, 284, 609, 100, 109, 859, 492, 884, 837, 224, 395, 266, 938, 167, 253, 135, 253, 665, 433, 395, 408, 288, 253, 73, 23, 178, 645, 73}

    {696, 752, 842, 431, 809, 906, 144, 197, 216, 165, 168, 28, 503, 577, 852, 518, 314, 888, 749, 405, 841, 337, 670, 601, 387, 475, 220, 328, 378, 408, 35, 676, 537, 90, 895, 274, 87, 841, 342, 888, 893, 935, 346, 12, 727, 631, 98, 37, 582, 683, 105, 707, 804, 781, 761, 155, 133, 483, 206, 349, 195, 398, 693, 347, 218, 221, 762, 926, 578, 743, 0, 99, 449, 359, 683, 386, 179, 863, 882, 156, 664, 2, 577, 836, 155, 369, 527, 54, 289, 481, 910, 349, 455, 596, 768, 833, 881, 772, 711, 524, 904, 577, 743, 153, 65, 619, 271, 514, 721, 375, 552, 489, 481, 257, 835, 432, 374, 45, 840, 301, 199, 178, 745, 954, 566, 266, 684, 853, 669, 274, 598, 544, 738, 94, 212, 185, 287, 619, 241, 105, 863, 937, 647, 631, 233, 256, 422, 407, 671, 785, 168, 793, 638, 52, 678, 867, 827, 13, 179, 836, 132, 47, 94, 697, 174, 554, 940, 44, 575, 904, 108, 144, 295, 711, 450, 151, 661, 215, 442, 535, 69, 140, 276, 72, 409, 98, 222, 179, 336, 537, 37, 473, 13, 261, 644, 191, 715, 98, 12, 858, 22, 405, 874, 791, 505, 115, 694, 201, 45, 684, 207, 660, 753, 481, 937, 315, 203, 531, 276, 717, 175, 612, 823, 531, 401, 902, 77, 96, 572, 666, 627, 952, 233, 656, 811, 711, 536, 374, 689, 611, 759, 702, 221, 68, 769, 328, 560, 206, 250, 415, 505, 357, 134, 790, 535, 815, 751, 118, 638, 611, 295, 702, 568, 764, 774, 803, 680, 526, 107, 383, 768, 712, 903, 406, 847, 398, 511, 380, 914, 132, 868, 556, 901, 907, 500, 788, 817, 206, 640, 252, 280, 384, 688, 263, 903, 113, 654, 427, 173, 187, 557, 324, 447, 675, 841, 505, 396, 593, 443, 227, 146, 906, 203, 16, 80, 686, 441, 402, 238, 387, 703, 540, 64, 691, 822, 323, 272, 401, 777, 210, 299, 110, 706, 588, 305, 251, 615, 240, 482, 817, 570, 146, 674, 939, 581, 117, 273, 556, 908, 31, 931, 288, 298, 17, 643, 565, 502, 769, 229, 479, 462, 507, 470, 351, 459, 294, 358, 298, 415, 420, 879, 463, 365, 487, 725, 953, 173, 664, 541, 561, 403, 8, 821, 528, 934, 771, 43, 419, 951, 642, 393, 712, 584, 771, 535, 385, 278, 26, 866, 250, 888, 133, 613, 554, 437, 745, 161, 396, 734, 891, 699, 240, 552, 313, 800, 131, 689, 925, 710, 112, 813, 903, 235, 184, 768, 943, 363, 734, 392, 407, 530, 907, 430, 131, 127, 722, 851, 736, 663, 931, 50, 318, 942, 803, 302, 510, 889, 300, 345, 764, 355, 684, 466, 209, 215, 464, 685, 583, 5, 178, 51, 935, 620, 349, 357, 480, 163, 611, 757, 40, 832, 246, 69, 513, 911, 545, 751, 604, 392, 37, 949, 353, 959, 685, 205, 681, 669, 257, 939, 726, 517, 50, 430, 24, 120, 732, 71, 242, 254, 435, 125, 704, 28, 902, 6, 780, 235, 748, 326, 232, 414, 655, 55, 695, 260, 630, 529, 626, 286, 554, 555, 871, 635, 899, 218, 164, 881, 434, 54, 204, 567, 642, 895, 188, 567, 506, 827, 158, 918, 775, 48, 716, 596, 127, 885, 113, 68, 368, 321, 172, 708, 31, 745, 121, 2, 1, 757, 662, 533, 507, 721, 388, 692, 467, 305, 862, 753, 721, 846, 563, 84, 255, 705, 782, 861, 238, 669, 578, 358, 607, 882, 464, 19, 953, 590, 790, 622, 774, 858, 532, 862, 534, 39, 894, 90, 870, 890, 773, 321, 484, 126, 286, 899, 576, 377, 176, 192, 324, 865, 858, 831, 694, 479, 364, 562, 311, 715, 724, 741, 957, 339, 875, 666, 491, 917, 747, 355, 584, 897, 537, 57, 557, 27, 91, 763, 293, 958, 167, 691, 490, 406, 144, 595, 450, 327, 657, 413, 103, 371, 340, 737, 106, 827, 616, 469, 443, 784, 491, 378, 852, 93, 306, 391, 52, 532, 192, 337, 65, 949, 956, 894, 512, 511, 157, 738, 958, 569, 174, 333, 560, 51, 663, 929, 946, 31, 775, 321, 936, 19, 190, 569, 15, 463, 819, 431, 826, 332, 411, 130, 551, 713, 315, 234, 789, 510, 85, 293, 785, 355, 704, 730, 900, 375, 153, 756, 838, 884, 162, 628, 881, 646, 629, 60, 124, 594, 438, 632, 326, 776, 30, 598, 504, 282, 501, 913, 658, 380, 22, 356, 310, 315, 510, 530, 134, 53, 359, 341, 342, 937, 641, 465, 852, 369, 11, 808, 904, 599, 119, 823, 733, 87, 695, 58, 480, 805, 808, 201, 696, 668, 588, 189, 909, 670, 828, 570, 569, 426, 784, 875, 812, 21, 310, 198, 600, 581, 458, 49, 718, 177, 879, 372, 673, 235, 825, 782, 791, 833, 559, 280, 389, 607, 353, 460, 670, 63, 402, 409, 638, 526, 139, 473, 562, 805, 208, 264, 545, 959, 541, 729, 690, 264, 808, 539, 230, 435, 740, 591, 177, 232, 488, 651, 754, 138, 571, 804, 164, 154, 241, 511, 543, 778, 397, 384, 297, 521, 679, 884, 914, 367, 239, 518, 580, 338, 728, 431, 183, 347, 83, 332, 950, 236, 485, 932, 758, 717, 917, 830, 39, 196, 892, 81, 586, 748, 634, 130, 267, 162, 269, 630, 822, 438, 456, 767, 88, 56, 926, 849, 766, 410, 439, 202, 660, 212, 363, 913, 211, 85, 873, 681, 416, 801, 833, 468, 822, 626, 555, 301, 220, 193, 188, 20, 324, 243, 230, 366, 695, 717, 366, 241, 412, 213, 920, 233, 205, 624, 588, 682, 438, 296, 636, 154, 63, 735, 192, 4, 3, 637, 564, 522, 706, 379, 814, 583, 312, 940, 641, 453, 219, 348, 316, 760, 522, 580, 538, 389, 318, 76, 458, 294, 938, 117, 791, 104, 464, 839, 129, 232, 182, 445, 181, 548, 89, 845, 366, 345, 708, 24, 924, 388, 412, 498, 766, 238, 867, 765, 285, 889, 665, 47, 495, 181, 574, 824, 92, 799, 731, 78, 794, 922, 534, 376, 108, 311, 483, 404, 697, 143, 782, 457, 341, 190, 36, 309, 543, 22, 643, 382, 772, 227, 816, 99, 704, 950, 477, 434, 180, 546, 170, 384, 394, 898, 305, 388, 900, 533, 754, 521, 7, 629, 260, 165, 824, 796, 750, 786, 352, 550, 485, 799, 330, 368, 90, 519, 742, 150, 627, 802, 792, 857, 941, 44, 674, 428, 579, 508, 9, 331, 133, 434, 834, 454, 779, 193, 493, 606, 312, 269, 323, 140, 450, 839, 723, 452, 376, 502, 640, 508, 226, 760, 819, 317, 944, 425, 879, 460, 228, 91, 440, 200, 62, 416, 457, 465, 872, 451, 877, 107, 147, 268, 243, 568, 561, 461, 16, 553, 3, 623, 159, 459, 21, 790, 386, 490, 291, 58, 652, 304, 835, 839, 446, 887, 564, 7, 798, 605, 142, 872, 914, 515, 115, 608, 488, 429, 573, 77, 119, 553, 818, 830, 21, 228, 810, 204, 943, 594, 257, 367, 946, 228, 905, 463, 222, 602, 856, 758, 621, 797, 798, 433, 605, 520, 277, 244, 116, 99, 625, 592, 840, 672, 1, 572, 886, 284, 497, 323, 494, 251, 325, 705, 139, 574, 262, 260, 919, 41, 243, 425, 887, 855, 189, 658, 169, 918, 946, 452, 245, 765, 32, 441, 788, 945, 587, 246, 213, 760, 200, 527, 109, 425, 829, 97, 152, 658, 156, 550, 303, 186, 299, 648, 252, 761, 918, 97, 781, 72, 799, 727, 424, 948, 513, 700, 270, 311, 752, 225, 751, 957, 848, 4, 521, 667, 29, 887, 938, 516, 944, 394, 573, 909, 322, 921, 224, 771, 824, 948, 786, 690, 6, 779, 217, 104, 399, 800, 765, 848, 878, 724, 662, 226, 411, 354, 23, 886, 498, 308, 451, 95, 740, 44, 147, 214, 476, 797, 372, 659, 516, 603, 527, 229, 301, 718, 516, 429, 504, 928, 806, 290, 866, 604, 496, 697, 417, 373, 290, 943, 129, 342, 49, 97, 618, 418, 821, 837, 351, 418, 573, 129, 610, 60, 834, 466, 320, 197, 186, 156, 497, 441, 360, 363, 857, 41, 436, 115, 677, 11, 958, 177, 331, 6, 668, 740, 909, 672, 79, 474, 610, 820, 373, 517, 82, 912, 832, 150, 653, 327, 898, 467, 166, 472, 592, 677, 870, 759, 924, 284, 482, 242, 135, 482, 428, 693, 406, 720, 632, 950, 390, 536, 520, 343, 77, 251, 927, 109, 70, 517, 390, 875, 956, 319, 786, 249, 761, 41, 219, 453, 123, 128, 303, 29, 542, 165, 570, 650, 878, 249, 927, 492, 327, 319, 787, 499, 667, 283, 813, 618, 659, 820, 787, 618, 609, 61, 124, 898, 878, 70, 484, 882, 820, 343, 350}

    Returns: {1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 }

  22. 964

    {936, 811, 478, 273, 54, 543, 879, 10, 566, 803, 677, 643, 864, 727, 365, 138, 493, 684, 961, 171, 149, 269, 13, 30, 334, 340, 135, 902, 8, 704, 90, 367, 621, 576, 851, 108, 627, 3, 296, 455, 944, 401, 107, 695, 696, 584, 787, 716, 822, 934, 226, 301, 901, 689, 457, 554, 928, 163, 392, 66, 861, 667, 641, 84, 185, 875, 458, 783, 634, 803, 588, 464, 712, 284, 539, 523, 270, 5, 104, 523, 671, 937, 898, 256, 136, 951, 734, 620, 938, 845, 36, 190, 94, 181, 589, 788, 56, 581, 691, 338, 67, 850, 886, 353, 128, 104, 883, 817, 882, 31, 834, 666, 881, 99, 614, 924, 86, 219, 959, 5, 940, 301, 126, 714, 412, 820, 547, 56, 517, 750, 279, 408, 544, 666, 302, 644, 588, 808, 519, 878, 860, 679, 558, 395, 589, 561, 870, 931, 525, 383, 875, 310, 78, 120, 325, 682, 686, 359, 105, 855, 248, 154, 293, 226, 204, 393, 469, 675, 650, 720, 136, 517, 242, 116, 924, 929, 512, 396, 198, 143, 419, 606, 820, 742, 427, 158, 232, 757, 373, 818, 947, 147, 714, 950, 941, 446, 88, 122, 404, 418, 434, 379, 863, 518, 65, 322, 677, 852, 302, 786, 340, 275, 78, 44, 908, 205, 257, 262, 217, 363, 536, 51, 376, 812, 357, 257, 960, 403, 97, 634, 522, 325, 648, 243, 395, 614, 618, 305, 871, 723, 161, 924, 26, 395, 613, 316, 649, 553, 466, 114, 459, 45, 481, 304, 803, 464, 808, 471, 628, 428, 253, 481, 174, 880, 142, 866, 886, 42, 218, 639, 887, 344, 317, 1, 378, 631, 853, 570, 762, 586, 172, 411, 732, 190, 87, 675, 14, 165, 559, 250, 159, 227, 367, 945, 786, 218, 529, 216, 128, 367, 450, 107, 262, 565, 304, 159, 843, 839, 178, 731, 201, 381, 192, 646, 147, 256, 37, 881, 867, 889, 116, 516, 287, 339, 234, 221, 839, 772, 67, 848, 955, 632, 682, 453, 178, 47, 176, 962, 21, 214, 948, 922, 86, 35, 96, 188, 510, 77, 482, 167, 500, 890, 656, 380, 789, 453, 758, 932, 573, 462, 734, 826, 513, 488, 320, 62, 378, 467, 82, 619, 457, 843, 269, 692, 785, 293, 752, 618, 269, 136, 830, 612, 345, 472, 922, 549, 910, 440, 740, 925, 285, 31, 196, 312, 394, 238, 542, 288, 493, 293, 604, 722, 562, 527, 732, 57, 881, 491, 15, 766, 796, 214, 781, 765, 284, 420, 682, 746, 309, 553, 401, 311, 166, 436, 239, 350, 388, 599, 841, 640, 635, 878, 535, 915, 919, 703, 1, 903, 793, 841, 609, 737, 148, 636, 582, 279, 933, 123, 181, 593, 397, 469, 581, 10, 828, 154, 493, 959, 139, 32, 263, 33, 552, 421, 538, 801, 722, 248, 741, 560, 580, 547, 274, 710, 40, 19, 227, 891, 531, 328, 724, 569, 376, 545, 797, 608, 729, 335, 381, 585, 611, 845, 610, 318, 95, 932, 357, 538, 146, 549, 81, 406, 61, 771, 877, 558, 271, 172, 41, 883, 731, 360, 215, 470, 461, 10, 716, 567, 208, 343, 578, 857, 303, 583, 815, 506, 645, 871, 491, 590, 896, 50, 72, 59, 124, 609, 850, 190, 500, 498, 552, 152, 600, 462, 113, 764, 796, 102, 727, 16, 907, 892, 721, 861, 27, 474, 790, 117, 822, 692, 732, 725, 48, 125, 88, 687, 440, 87, 756, 709, 273, 184, 119, 174, 175, 479, 676, 313, 725, 694, 586, 15, 867, 894, 184, 616, 389, 863, 225, 338, 207, 404, 399, 502, 145, 891, 540, 11, 170, 4, 206, 177, 363, 275, 477, 495, 690, 320, 444, 299, 267, 666, 175, 488, 716, 771, 594, 408, 599, 637, 115, 186, 773, 700, 239, 436, 535, 839, 243, 301, 740, 18, 35, 119, 56, 399, 874, 422, 772, 696, 263, 629, 50, 514, 31, 567, 278, 650, 954, 229, 257, 182, 507, 895, 234, 916, 645, 498, 697, 247, 700, 216, 579, 463, 161, 179, 348, 448, 617, 441, 961, 585, 602, 110, 117, 425, 180, 449, 215, 655, 795, 12, 52, 829, 952, 146, 819, 358, 351, 902, 715, 41, 405, 736, 0, 79, 621, 471, 65, 887, 316, 573, 934, 20, 687, 618, 628, 800, 429, 509, 333, 225, 963, 59, 224, 383, 664, 843, 504, 933, 477, 852, 911, 295, 145, 911, 205, 480, 144, 885, 907, 416, 4, 479, 120, 560, 768, 961, 720, 138, 352, 499, 176, 131, 113, 548, 306, 553, 216, 827, 55, 802, 449, 71, 97, 506, 453, 298, 371, 824, 937, 522, 260, 366, 632, 299, 582, 319, 357, 681, 737, 687, 671, 120, 313, 695, 32, 282, 267, 203, 99, 674, 761, 497, 928, 556, 914, 273, 615, 393, 858, 335, 134, 337, 447, 459, 158, 240, 727, 272, 358, 434, 485, 115, 779, 111, 948, 769, 308, 757, 451, 962, 317, 846, 706, 9, 902, 918, 54, 482, 309, 709, 834, 288, 925, 289, 737, 638, 657, 522, 463, 733, 958, 223, 917, 791, 717, 613, 195, 132, 211, 255, 508, 336, 726, 4, 386, 62, 623, 909, 521, 59, 310, 158, 381, 66, 274, 813, 371, 935, 630, 133, 721, 572, 659, 308, 759, 112, 963, 118, 680, 127, 801, 43, 339, 859, 337, 776, 570, 938, 715, 534, 898, 767, 501, 58, 709, 459, 501, 117, 369, 741, 32, 92, 628, 228, 349, 137, 930, 483, 452, 724, 848, 308, 71, 545, 536, 726, 767, 470, 421, 955, 444, 492, 446, 480, 74, 686, 22, 183, 387, 577, 773, 823, 789, 658, 252, 951, 557, 386, 850, 313, 604, 954, 668, 624, 710, 942, 835, 903, 229, 389, 297, 942, 193, 620, 728, 736, 533, 446, 844, 751, 758, 713, 402, 508, 827, 781, 433, 892, 476, 222, 207, 287, 752, 823, 108, 277, 899, 656, 429, 800, 813, 454, 92, 915, 148, 189, 109, 46, 899, 661, 905, 186, 802, 777, 815, 615, 506, 946, 325, 428, 330, 543, 838, 327, 521, 327, 452, 45, 368, 699, 314, 103, 81, 516, 782, 198, 624, 520, 875, 872, 779, 310, 73, 949, 625, 642, 139, 228, 599, 27, 203, 630, 157, 23, 573, 530, 749, 703, 28, 78, 897, 748, 132, 478, 516, 869, 521, 203, 898, 318, 562, 528, 465, 735, 514, 873, 484, 375, 802, 748, 30, 957, 693, 524, 646, 901, 412, 443, 625, 387, 332, 403, 210, 701, 638, 400, 344, 562, 598, 258, 260, 435, 596, 396, 873, 60, 455, 763, 61, 575, 229, 947, 85, 502, 199, 612, 235, 442, 374, 584, 568, 754, 17, 935, 329, 276, 870, 135, 777, 710, 754, 572, 910, 590, 370, 349, 289, 535, 888, 853, 419, 414, 334, 895, 263, 81, 544, 840, 749, 792, 432, 16, 60, 679, 809, 540, 626, 595, 179, 311, 397, 385, 255, 635, 26, 810, 836, 728, 438, 790, 840, 654, 641, 907, 429, 763, 538, 456, 58, 557, 235, 526, 196, 333, 662, 152, 799, 75, 406, 278, 697, 936, 276, 904, 405, 745, 211, 289, 218, 690, 885, 141, 426, 46, 912, 400, 53, 755, 871, 282, 28, 439, 121, 77, 759, 647, 546, 290, 563, 3, 374, 702, 487, 489, 768, 926, 66, 99, 752, 206, 487, 718, 200, 762, 669, 954, 592, 9, 607, 348, 807, 672, 768, 272, 541, 927, 913, 684, 635, 842, 830, 272, 671, 372, 572, 793, 865, 724, 379, 780, 904, 93, 54, 430, 913, 775, 540, 781, 554, 821, 523, 876, 719, 191, 688, 391, 101, 698, 941, 580, 473, 842, 743, 177, 98, 594, 513, 195, 305, 483, 571, 733, 321, 129, 297, 617, 805, 913, 821, 295, 648, 561, 414, 895, 780, 836, 960, 936, 437, 163, 185, 760, 101, 678, 860, 300, 316, 958, 80, 956, 598, 625, 34, 695, 656, 630, 188, 782, 186, 571, 202, 624, 192, 711, 526, 825, 93, 95, 554, 760, 24, 600, 574, 443, 888, 617, 270, 614, 391, 785, 25, 600, 312, 389, 830, 718, 747, 235, 805, 622, 711, 812, 947, 900, 489, 390, 213, 64, 407, 574, 495, 574, 85, 484, 187, 326, 430, 233, 241, 187, 49, 264, 657, 409, 868, 864, 417, 321, 897, 647, 187, 210, 63, 816, 762, 164, 36, 806, 312, 673, 236, 38, 106, 343, 240, 492, 33, 22, 374, 490, 499, 670, 124, 174, 326, 567, 906, 346, 487, 63, 774, 594, 496, 252, 202, 653, 876, 93, 109, 409, 373, 577, 249, 814, 361, 300, 926, 953, 8, 931, 8, 212, 384, 128, 233, 341, 202, 698, 444, 515, 361, 660, 342, 232, 341, 153, 236, 778, 169, 240, 153, 346, 407, 200, 164, 0, 532, 532, 862, 937, 83, 622, 496, 259}

    {667, 640, 770, 920, 519, 283, 57, 588, 497, 13, 70, 840, 920, 909, 944, 794, 143, 956, 791, 283, 213, 217, 83, 271, 166, 157, 789, 929, 0, 350, 245, 817, 615, 226, 754, 807, 601, 634, 896, 756, 455, 116, 940, 376, 753, 350, 914, 281, 916, 592, 362, 379, 734, 833, 392, 747, 847, 349, 548, 470, 90, 548, 458, 900, 882, 787, 358, 215, 150, 427, 2, 414, 243, 175, 321, 90, 930, 826, 95, 251, 655, 58, 534, 637, 193, 323, 171, 587, 347, 794, 286, 415, 559, 451, 130, 387, 926, 84, 403, 420, 668, 694, 556, 139, 668, 515, 324, 135, 111, 923, 874, 795, 47, 307, 372, 700, 382, 223, 40, 940, 825, 813, 481, 860, 168, 454, 424, 111, 353, 952, 423, 147, 265, 170, 815, 946, 343, 722, 356, 399, 291, 68, 392, 351, 705, 201, 644, 474, 420, 939, 662, 364, 828, 681, 555, 546, 91, 859, 160, 205, 449, 823, 221, 354, 644, 94, 633, 385, 356, 266, 168, 610, 461, 692, 331, 684, 159, 713, 237, 283, 676, 890, 645, 160, 790, 581, 609, 472, 12, 254, 550, 70, 62, 291, 362, 86, 67, 546, 726, 100, 849, 746, 808, 160, 416, 729, 239, 212, 846, 920, 96, 730, 856, 568, 560, 432, 352, 507, 288, 359, 123, 738, 55, 87, 602, 857, 829, 468, 294, 102, 172, 765, 894, 281, 353, 774, 761, 251, 171, 642, 103, 579, 462, 917, 445, 355, 943, 715, 338, 217, 466, 44, 466, 564, 502, 119, 471, 579, 893, 719, 565, 505, 821, 437, 712, 142, 663, 833, 712, 102, 643, 818, 851, 197, 280, 559, 951, 406, 21, 183, 327, 820, 797, 114, 331, 426, 165, 82, 707, 368, 672, 639, 74, 40, 566, 157, 851, 104, 631, 818, 48, 355, 696, 702, 847, 271, 665, 142, 651, 510, 356, 744, 398, 539, 68, 465, 578, 246, 511, 309, 181, 765, 448, 844, 564, 587, 265, 750, 432, 469, 901, 36, 831, 365, 223, 351, 254, 929, 551, 380, 927, 382, 486, 858, 503, 68, 315, 686, 935, 184, 261, 262, 82, 578, 962, 212, 787, 369, 234, 697, 552, 408, 841, 15, 598, 145, 34, 224, 285, 810, 423, 662, 29, 138, 519, 282, 921, 587, 208, 70, 828, 858, 370, 510, 476, 210, 143, 53, 784, 531, 364, 331, 583, 285, 424, 852, 106, 704, 477, 597, 868, 723, 133, 162, 397, 534, 369, 461, 29, 137, 156, 360, 777, 448, 772, 360, 739, 604, 180, 279, 191, 775, 545, 950, 84, 485, 363, 831, 639, 103, 333, 856, 141, 896, 227, 224, 137, 5, 932, 76, 620, 265, 9, 7, 661, 193, 80, 800, 593, 204, 474, 144, 611, 415, 401, 398, 531, 79, 597, 107, 149, 189, 631, 743, 335, 220, 264, 927, 894, 943, 528, 784, 892, 96, 69, 689, 426, 942, 500, 886, 561, 149, 673, 861, 21, 527, 89, 837, 844, 182, 708, 525, 69, 25, 352, 690, 655, 275, 492, 214, 42, 422, 801, 944, 720, 791, 348, 208, 105, 845, 819, 761, 475, 247, 238, 280, 590, 132, 300, 739, 296, 642, 621, 442, 549, 866, 242, 520, 547, 794, 148, 105, 796, 130, 60, 665, 251, 410, 334, 819, 464, 882, 456, 527, 606, 610, 110, 370, 817, 833, 314, 29, 797, 659, 7, 199, 619, 221, 809, 738, 287, 250, 72, 114, 870, 296, 63, 491, 713, 570, 475, 856, 593, 140, 735, 162, 258, 442, 337, 564, 146, 375, 539, 930, 16, 359, 530, 667, 763, 601, 691, 640, 261, 91, 509, 869, 518, 468, 345, 643, 824, 266, 730, 556, 404, 178, 565, 872, 537, 923, 743, 258, 248, 723, 382, 676, 497, 741, 874, 339, 771, 431, 669, 889, 847, 922, 291, 674, 717, 890, 194, 665, 721, 938, 537, 478, 341, 755, 582, 865, 783, 69, 91, 28, 945, 244, 19, 623, 748, 629, 632, 608, 393, 596, 863, 151, 280, 130, 916, 495, 415, 822, 889, 441, 194, 718, 583, 566, 479, 575, 25, 165, 959, 304, 12, 423, 918, 663, 281, 826, 749, 51, 110, 680, 431, 952, 355, 302, 328, 47, 230, 601, 340, 364, 222, 222, 50, 963, 161, 53, 557, 476, 956, 537, 957, 241, 911, 760, 118, 591, 266, 486, 769, 904, 658, 883, 550, 150, 244, 784, 383, 247, 629, 445, 745, 378, 568, 458, 199, 563, 19, 591, 324, 512, 52, 150, 744, 37, 717, 677, 705, 897, 740, 675, 848, 230, 880, 177, 11, 244, 811, 292, 299, 550, 2, 407, 220, 447, 255, 837, 649, 501, 694, 915, 542, 416, 685, 167, 55, 533, 167, 100, 585, 651, 417, 123, 345, 76, 626, 876, 76, 445, 307, 422, 122, 846, 799, 739, 879, 237, 475, 576, 623, 307, 934, 194, 371, 925, 542, 23, 201, 133, 61, 155, 347, 306, 386, 708, 317, 27, 753, 589, 196, 637, 180, 918, 859, 362, 100, 154, 691, 943, 489, 151, 681, 616, 831, 140, 140, 866, 450, 745, 368, 508, 168, 314, 253, 680, 928, 412, 641, 151, 480, 837, 424, 746, 912, 569, 405, 757, 6, 838, 450, 220, 24, 438, 504, 838, 660, 38, 454, 277, 88, 950, 73, 485, 230, 679, 498, 347, 591, 441, 179, 612, 127, 923, 486, 758, 576, 597, 192, 206, 651, 427, 536, 864, 914, 129, 633, 80, 42, 941, 436, 46, 678, 320, 835, 756, 131, 857, 842, 452, 439, 836, 766, 533, 619, 688, 440, 742, 456, 13, 183, 315, 948, 274, 788, 703, 198, 44, 611, 11, 543, 284, 646, 626, 872, 909, 663, 259, 18, 94, 131, 528, 504, 658, 346, 249, 254, 507, 649, 524, 524, 482, 71, 661, 79, 799, 484, 290, 37, 250, 577, 816, 753, 674, 835, 276, 425, 366, 685, 219, 242, 730, 439, 488, 607, 736, 108, 880, 419, 43, 400, 869, 795, 173, 152, 764, 77, 332, 207, 411, 786, 209, 411, 41, 294, 126, 805, 306, 792, 57, 336, 887, 197, 731, 705, 366, 742, 683, 225, 729, 237, 457, 708, 877, 286, 329, 735, 402, 48, 767, 319, 699, 513, 744, 113, 7, 268, 354, 704, 451, 323, 685, 375, 134, 246, 755, 125, 824, 52, 770, 385, 884, 267, 402, 330, 664, 153, 541, 303, 893, 865, 798, 773, 298, 834, 472, 855, 825, 912, 49, 98, 413, 725, 747, 195, 569, 653, 494, 829, 268, 652, 438, 946, 303, 344, 751, 311, 125, 596, 447, 664, 467, 503, 877, 514, 298, 118, 329, 305, 74, 650, 465, 191, 246, 669, 189, 396, 849, 525, 322, 774, 654, 185, 409, 613, 431, 3, 361, 245, 689, 584, 315, 783, 776, 6, 211, 417, 505, 330, 209, 529, 770, 163, 256, 764, 867, 245, 134, 541, 638, 156, 520, 586, 236, 812, 365, 853, 849, 141, 798, 806, 127, 798, 377, 1, 290, 443, 908, 260, 766, 126, 517, 425, 6, 232, 473, 322, 949, 868, 807, 873, 955, 616, 544, 388, 121, 575, 878, 707, 832, 775, 421, 182, 571, 30, 73, 238, 252, 155, 45, 328, 292, 2, 592, 231, 809, 166, 701, 693, 810, 921, 779, 170, 435, 468, 209, 101, 38, 17, 292, 769, 398, 647, 332, 782, 511, 92, 683, 854, 23, 97, 213, 473, 231, 804, 156, 606, 418, 390, 893, 759, 518, 750, 683, 884, 51, 832, 268, 197, 124, 652, 219, 511, 377, 654, 17, 176, 919, 286, 595, 380, 899, 526, 144, 719, 608, 733, 879, 34, 43, 854, 714, 394, 738, 707, 377, 319, 854, 702, 699, 627, 792, 888, 22, 945, 503, 910, 49, 413, 115, 231, 463, 342, 555, 109, 776, 89, 18, 428, 277, 72, 437, 318, 701, 693, 155, 228, 253, 372, 460, 336, 804, 483, 249, 39, 270, 652, 804, 384, 64, 434, 529, 891, 460, 65, 460, 953, 162, 20, 342, 563, 188, 919, 648, 672, 678, 83, 494, 688, 64, 505, 26, 788, 261, 555, 433, 580, 900, 129, 921, 20, 85, 832, 384, 605, 670, 602, 512, 323, 785, 558, 706, 390, 112, 295, 670, 326, 297, 607, 241, 530, 294, 814, 354, 605, 706, 751, 657, 814, 410, 388, 811, 908, 953, 906, 905, 957, 698, 324, 627, 793, 89, 885, 917, 494, 551, 636, 659, 728, 603, 653, 780, 435, 278, 204, 595, 499, 24, 633, 413, 433, 903, 112, 711, 958, 906, 98, 394, 75, 673, 905, 509, 264, 410, 467, 164, 816, 391, 603, 233, 75, 862, 35, 855, 430, 33, 605, 373, 106, 603, 173, 418, 939, 169, 636, 884, 660, 933, 14, 39, 122, 827, 259, 39, 490, 173, 490, 200, 960, 14, 778, 121, 551, 806, 778, 515, 949, 939, 622, 931, 862, 169, 532, 496}

    Returns: {1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1 }

  23. 848

    {594, 287, 369, 697, 189, 316, 19, 651, 731, 751, 273, 113, 141, 15, 319, 666, 704, 709, 331, 564, 541, 378, 520, 89, 94, 281, 456, 93, 761, 263, 738, 17, 327, 171, 373, 290, 501, 792, 132, 318, 487, 830, 286, 387, 417, 137, 752, 192, 710, 573, 641, 456, 90, 279, 268, 301, 733, 759, 192, 756, 616, 78, 813, 314, 823, 92, 640, 383, 138, 838, 330, 499, 674, 680, 18, 788, 305, 363, 735, 590, 105, 530, 283, 343, 292, 352, 795, 572, 799, 507, 673, 263, 17, 587, 752, 33, 807, 772, 424, 630, 442, 227, 164, 194, 82, 43, 475, 216, 808, 692, 437, 177, 397, 390, 144, 413, 341, 381, 86, 253, 348, 738, 3, 635, 174, 417, 539, 59, 465, 54, 582, 581, 67, 807, 599, 0, 771, 133, 662, 115, 415, 461, 350, 630, 304, 461, 743, 185, 515, 405, 617, 11, 16, 212, 110, 482, 319, 322, 713, 390, 352, 241, 189, 128, 830, 810, 308, 368, 752, 300, 398, 845, 594, 396, 680, 131, 327, 380, 126, 706, 771, 427, 785, 381, 769, 94, 367, 618, 751, 3, 515, 151, 231, 647, 275, 157, 717, 452, 295, 109, 150, 266, 824, 614, 565, 709, 4, 512, 154, 317, 439, 664, 450, 622, 39, 230, 256, 233, 508, 1, 625, 694, 639, 791, 187, 715, 181, 87, 0, 83, 836, 720, 73, 153, 327, 792, 826, 544, 814, 733, 503, 396, 442, 782, 648, 157, 484, 426, 806, 587, 372, 642, 207, 691, 503, 120, 395, 153, 274, 78, 371, 120, 31, 74, 589, 81, 451, 374, 204, 392, 785, 607, 22, 558, 431, 222, 536, 94, 705, 619, 742, 760, 700, 745, 143, 711, 147, 204, 123, 375, 307, 163, 641, 811, 156, 726, 287, 625, 774, 338, 569, 271, 209, 675, 567, 176, 245, 408, 386, 549, 778, 526, 89, 147, 84, 439, 596, 395, 569, 759, 627, 357, 528, 405, 400, 412, 494, 827, 500, 813, 504, 115, 522, 84, 439, 615, 434, 649, 194, 235, 679, 380, 362, 79, 97, 91, 459, 321, 160, 333, 311, 496, 709, 389, 438, 507, 556, 125, 647, 443, 537, 460, 579, 847, 699, 82, 218, 482, 181, 809, 139, 369, 432, 601, 393, 510, 131, 659, 799, 829, 747, 498, 586, 318, 740, 499, 581, 357, 408, 793, 50, 183, 552, 610, 231, 420, 216, 832, 380, 595, 703, 282, 298, 582, 33, 465, 377, 687, 117, 361, 136, 41, 587, 824, 256, 83, 225, 664, 48, 588, 18, 735, 270, 73, 646, 468, 532, 134, 240, 127, 421, 409, 462, 699, 49, 789, 830, 714, 753, 28, 713, 71, 598, 386, 560, 576, 196, 179, 593, 278, 764, 506, 718, 773, 120, 302, 1, 459, 831, 677, 164, 643, 55, 297, 790, 577, 278, 619, 833, 595, 693, 568, 653, 248, 737, 555, 832, 505, 446, 681, 564, 598, 543, 758, 90, 312, 307, 596, 346, 657, 620, 695, 223, 30, 623, 172, 448, 633, 554, 201, 583, 754, 680, 667, 332, 526, 607, 467, 52, 506, 555, 509, 484, 512, 393, 593, 447, 495, 599, 267, 575, 308, 262, 707, 506, 421, 292, 354, 795, 546, 584, 52, 192, 527, 711, 33, 520, 703, 184, 415, 296, 550, 749, 140, 806, 328, 767, 514, 276, 823, 450, 777, 475, 815, 821, 180, 357, 302, 322, 255, 333, 458, 298, 432, 222, 768, 201, 186, 768, 684, 497, 524, 819, 651, 20, 581, 324, 335, 371, 837, 241, 614, 474, 496, 47, 51, 803, 801, 570, 270, 586, 762, 759, 10, 43, 213, 531, 612, 425, 237, 770, 162, 290, 102, 445, 275, 490, 118, 382, 676, 323, 694, 428, 449, 46, 171, 20, 343, 313, 44, 637, 39, 843, 458, 229, 768, 845, 26, 765, 364, 285, 741, 345, 159, 62, 610, 650, 706, 349, 606, 495, 54, 240, 712, 68, 478, 402, 77, 563, 171, 720, 4, 575, 162, 163, 829, 143, 243, 229, 70, 559, 180, 191, 579, 248, 589, 228, 774, 450, 648, 479, 309, 513, 779, 178, 418, 708, 276, 42, 291, 745, 309, 834, 10, 39, 571, 374, 223, 675, 210, 501, 159, 155, 150, 443, 307, 585, 514, 819, 25, 801, 0, 790, 28, 219, 595, 297, 542, 505, 131, 101, 4, 122, 376, 336, 323, 38, 519, 773, 252, 578, 635, 842, 268, 467, 345, 449, 370, 784, 672, 70, 807, 679, 269, 783, 660, 504, 716, 801, 679, 319, 397, 146, 800, 690, 454, 704, 580, 604, 725, 193, 165, 53, 490, 739, 281, 411, 45, 619, 399, 79, 13, 717, 7, 722, 721, 629, 728, 83, 182, 50, 360, 608, 561, 29, 652, 190, 553, 161, 516, 694, 701, 215, 261, 805, 511, 391, 369, 573, 64, 708, 702, 501, 347, 563, 678, 25, 712, 535, 23, 491, 193, 836, 843, 134, 242, 720, 197, 457, 61, 47, 61, 605, 489, 410, 655, 712, 34, 233, 777, 686, 693, 608, 758, 685, 32, 489, 265, 841, 715, 498, 198, 738, 580, 19, 169, 796, 624, 274, 280, 763, 589, 571, 60, 271, 554, 766, 407, 649, 835, 844, 198, 669, 63, 649, 725, 686, 836, 793, 5, 49, 460, 387, 786, 165, 170, 669, 658, 50, 616, 45, 160, 217, 701, 683, 613, 542, 612, 196, 62, 449, 623, 494, 793, 441, 184, 451, 10, 776, 739, 553, 755, 210, 65, 243, 358, 410, 342, 21, 272, 553, 385, 329, 837, 846, 620, 108, 809, 121, 654, 690, 394, 340, 394, 814, 527, 762, 842, 279, 700, 763, 203, 602, 148, 490, 810, 56, 690, 253, 280, 561, 60, 820, 591, 311, 485, 435, 218, 353, 372, 214, 652, 723, 34, 479, 2, 116, 438, 232, 677, 750, 655, 742, 470, 434, 516, 543, 46, 205, 781, 67, 524, 273, 249, 747, 119, 241, 648, 708, 539, 802, 64, 533, 227, 657, 437, 302, 718, 45, 35, 361, 107, 565, 477, 249, 58, 816, 221, 447, 696, 590, 103, 686, 523, 32, 370, 661, 478, 230, 212, 753, 220, 249, 802, 657, 816, 486, 820, 58, 734, 278, 334, 502, 505, 220, 784, 402, 226, 606, 480, 62, 168, 435, 80, 23, 14, 52, 565, 605, 373, 2, 154, 688, 455, 419, 426, 590, 198, 177, 119, 344, 158, 594, 95, 55, 452, 121, 547, 35, 488, 294, 416, 392, 618, 662, 527, 675, 535, 293, 85, 128, 293, 208, 488, 338, 756, 44, 121, 6, 809, 811, 429, 152, 382, 219, 393, 257, 478, 541, 135, 199, 440, 773, 724, 698, 331, 755, 847, 293, 100, 578, 797, 477, 734, 618, 684, 299, 356, 791, 445, 197, 656, 245, 226, 827, 719, 609, 48, 529, 118, 284, 844, 462, 108, 513, 291, 721, 576, 741, 289, 728, 300, 211, 48, 282, 642, 66, 279, 339, 11, 476, 730, 602, 97, 137, 264, 111, 640, 142, 199, 721, 574, 656, 355, 772, 98, 379, 92, 794, 561, 727, 665, 74, 239, 399, 104, 258, 592, 650, 621, 453, 645, 111, 714, 477, 683, 347, 767, 129, 214, 399, 635, 472, 88, 110, 644, 114, 599, 524, 644, 518, 155, 765, 44, 531, 289, 781, 693, 448, 281, 306, 194, 75, 718, 677, 250, 284, 136, 629, 781, 729, 502, 341, 98, 645, 85, 710, 403, 748, 24, 654, 681, 116, 24, 517, 289, 586, 838, 47, 349, 604, 403, 835, 817, 433, 551, 491, 529, 518, 621, 236, 257, 313, 74, 199, 546, 385, 481, 661, 239, 238, 535, 182, 440, 445, 846, 835, 604, 518, 775, 729, 410, 583, 614, 754, 188, 798, 238, 182, 407, 766, 195, 100, 696, 750, 313, 631, 817, 195, 81, 626, 81}

    {692, 113, 468, 834, 480, 105, 562, 53, 38, 494, 233, 537, 351, 735, 202, 813, 226, 185, 544, 847, 798, 161, 593, 6, 186, 346, 314, 82, 780, 803, 221, 444, 778, 534, 222, 314, 617, 424, 264, 96, 704, 163, 365, 628, 806, 64, 162, 1, 405, 424, 317, 771, 668, 30, 320, 682, 69, 740, 770, 71, 525, 566, 783, 67, 418, 167, 630, 784, 126, 280, 638, 667, 828, 335, 78, 613, 528, 633, 26, 123, 731, 90, 224, 270, 659, 370, 471, 452, 133, 548, 605, 540, 32, 514, 611, 348, 323, 472, 475, 27, 49, 208, 167, 329, 579, 277, 609, 86, 164, 338, 71, 368, 733, 723, 567, 232, 660, 328, 474, 544, 346, 466, 473, 165, 297, 209, 92, 588, 641, 292, 401, 829, 810, 125, 140, 634, 634, 515, 508, 703, 57, 57, 751, 108, 383, 377, 326, 757, 632, 800, 556, 789, 531, 304, 761, 359, 597, 117, 831, 689, 13, 168, 795, 5, 470, 670, 290, 46, 224, 23, 310, 568, 697, 566, 269, 75, 492, 266, 263, 786, 413, 386, 178, 486, 459, 569, 615, 558, 141, 63, 209, 557, 186, 749, 785, 522, 377, 169, 611, 841, 354, 183, 145, 607, 375, 761, 318, 511, 411, 101, 404, 702, 664, 743, 110, 115, 398, 588, 412, 193, 536, 260, 792, 17, 647, 383, 223, 247, 442, 127, 639, 37, 22, 205, 558, 723, 824, 458, 5, 237, 221, 166, 409, 804, 301, 329, 174, 777, 509, 234, 662, 246, 97, 265, 308, 540, 556, 666, 305, 654, 376, 304, 408, 688, 468, 685, 387, 432, 170, 617, 260, 167, 51, 753, 256, 312, 324, 462, 400, 455, 510, 195, 240, 86, 286, 508, 254, 356, 351, 794, 658, 557, 707, 745, 206, 173, 762, 80, 663, 332, 322, 275, 673, 609, 757, 123, 36, 743, 736, 465, 542, 643, 220, 417, 808, 126, 429, 744, 550, 775, 237, 140, 600, 172, 153, 695, 722, 480, 496, 395, 139, 169, 213, 625, 529, 528, 286, 132, 730, 231, 582, 124, 202, 492, 378, 179, 180, 796, 842, 705, 252, 504, 91, 541, 391, 73, 95, 25, 87, 557, 175, 350, 9, 59, 262, 705, 37, 728, 274, 345, 112, 740, 266, 444, 166, 769, 406, 567, 234, 843, 13, 7, 391, 444, 746, 207, 61, 40, 177, 672, 636, 428, 608, 268, 175, 429, 697, 204, 560, 838, 378, 183, 149, 427, 288, 412, 483, 114, 350, 597, 216, 464, 178, 495, 368, 3, 18, 615, 9, 741, 125, 560, 232, 476, 317, 536, 591, 698, 671, 732, 187, 175, 149, 643, 276, 8, 259, 89, 106, 84, 572, 37, 259, 601, 355, 778, 689, 537, 409, 76, 671, 668, 77, 534, 760, 54, 554, 22, 136, 600, 301, 149, 512, 737, 68, 294, 224, 422, 511, 678, 134, 367, 9, 285, 141, 808, 12, 623, 622, 482, 389, 400, 466, 766, 130, 371, 119, 320, 656, 404, 381, 622, 430, 739, 43, 603, 151, 116, 336, 411, 16, 413, 543, 8, 374, 416, 401, 139, 628, 30, 601, 287, 817, 499, 487, 707, 486, 737, 610, 77, 839, 684, 827, 639, 782, 471, 364, 16, 351, 361, 748, 404, 446, 29, 397, 469, 425, 779, 667, 27, 670, 549, 144, 804, 42, 356, 250, 624, 573, 76, 390, 239, 584, 26, 309, 788, 736, 628, 484, 202, 832, 65, 376, 638, 145, 580, 782, 166, 236, 555, 365, 328, 146, 213, 305, 348, 306, 277, 794, 426, 805, 259, 252, 145, 342, 674, 21, 695, 525, 244, 624, 519, 291, 574, 206, 805, 228, 156, 670, 407, 844, 234, 596, 219, 470, 517, 312, 485, 671, 382, 337, 575, 53, 598, 363, 460, 713, 298, 552, 678, 627, 783, 447, 526, 500, 203, 8, 379, 457, 525, 235, 663, 332, 769, 340, 717, 190, 72, 425, 283, 620, 243, 839, 254, 40, 143, 103, 800, 352, 29, 101, 754, 362, 396, 493, 191, 660, 646, 170, 711, 572, 457, 282, 441, 653, 440, 174, 742, 389, 334, 272, 326, 719, 321, 689, 363, 189, 360, 787, 251, 676, 244, 158, 288, 825, 160, 646, 57, 719, 513, 250, 190, 612, 790, 498, 545, 802, 15, 91, 640, 333, 421, 441, 727, 311, 422, 500, 398, 124, 818, 502, 201, 799, 42, 570, 487, 310, 161, 672, 339, 229, 577, 749, 260, 577, 469, 155, 388, 509, 245, 521, 100, 138, 571, 637, 566, 68, 51, 157, 394, 814, 789, 344, 138, 446, 845, 473, 27, 87, 461, 676, 337, 133, 839, 522, 757, 840, 716, 563, 472, 507, 321, 375, 530, 148, 316, 185, 66, 520, 592, 273, 207, 788, 746, 846, 418, 342, 436, 427, 633, 288, 187, 702, 632, 254, 373, 632, 770, 66, 326, 416, 7, 568, 106, 184, 489, 58, 428, 731, 41, 296, 285, 325, 262, 358, 822, 330, 576, 196, 203, 562, 547, 454, 637, 503, 335, 415, 41, 403, 779, 688, 822, 492, 106, 435, 613, 336, 19, 562, 401, 40, 212, 837, 510, 230, 154, 310, 725, 38, 826, 334, 552, 358, 533, 151, 181, 271, 493, 96, 443, 758, 324, 261, 550, 533, 436, 549, 206, 538, 592, 812, 606, 247, 191, 127, 469, 215, 251, 384, 818, 674, 548, 150, 354, 168, 227, 538, 634, 474, 434, 559, 325, 59, 682, 117, 834, 714, 673, 56, 540, 179, 21, 816, 76, 700, 438, 545, 488, 111, 431, 597, 591, 638, 665, 176, 388, 113, 147, 776, 337, 476, 295, 124, 548, 585, 539, 828, 463, 583, 35, 722, 602, 822, 103, 644, 36, 463, 798, 765, 756, 420, 699, 726, 463, 636, 330, 99, 102, 419, 55, 464, 682, 812, 692, 156, 786, 173, 701, 763, 669, 69, 34, 208, 787, 559, 547, 28, 652, 804, 85, 388, 734, 379, 685, 715, 247, 467, 493, 732, 129, 316, 818, 343, 815, 545, 105, 392, 497, 267, 811, 668, 112, 636, 538, 797, 365, 102, 272, 453, 36, 122, 473, 96, 294, 433, 107, 132, 530, 534, 841, 14, 339, 359, 137, 306, 217, 347, 367, 258, 419, 244, 355, 402, 523, 172, 300, 732, 819, 112, 564, 63, 815, 747, 228, 79, 631, 152, 825, 69, 603, 385, 532, 366, 215, 114, 159, 600, 437, 364, 72, 629, 93, 242, 812, 265, 760, 491, 651, 611, 661, 72, 780, 797, 653, 744, 251, 130, 584, 414, 803, 485, 14, 585, 691, 724, 603, 516, 269, 776, 831, 764, 655, 129, 698, 479, 451, 726, 98, 176, 366, 454, 158, 80, 755, 471, 645, 466, 650, 791, 724, 833, 135, 746, 570, 299, 93, 24, 148, 780, 823, 826, 464, 627, 303, 353, 659, 828, 200, 130, 205, 681, 423, 211, 99, 532, 225, 366, 70, 691, 616, 20, 135, 483, 75, 772, 146, 414, 729, 218, 107, 2, 706, 283, 431, 242, 372, 315, 214, 730, 521, 65, 246, 820, 455, 519, 296, 774, 750, 253, 6, 344, 663, 453, 299, 122, 626, 95, 225, 384, 88, 104, 315, 825, 574, 414, 578, 523, 267, 521, 658, 118, 284, 696, 362, 736, 621, 341, 353, 258, 210, 261, 15, 88, 481, 104, 197, 12, 188, 142, 303, 710, 142, 666, 349, 109, 331, 517, 56, 217, 406, 833, 173, 359, 31, 448, 687, 325, 716, 406, 840, 128, 551, 665, 11, 430, 340, 546, 420, 200, 767, 430, 821, 787, 12, 211, 246, 551, 423, 423, 497, 360, 99, 248, 744, 31, 235, 821, 236, 796, 295, 481, 683, 384, 255, 456, 727, 60, 436, 303, 109, 200, 840, 775, 433, 238, 642, 257, 277, 483, 422, 315, 631, 320, 748, 764, 188, 626, 687, 144, 152, 264, 255}

    Returns: {0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 }

  24. 944

    {585, 307, 152, 766, 366, 215, 263, 572, 662, 573, 63, 34, 912, 934, 560, 675, 391, 613, 481, 620, 215, 560, 648, 403, 35, 686, 885, 177, 620, 2, 865, 884, 611, 622, 573, 523, 725, 285, 83, 836, 66, 747, 37, 628, 331, 112, 908, 64, 593, 179, 483, 599, 354, 30, 767, 555, 66, 862, 339, 641, 399, 763, 560, 722, 463, 363, 545, 110, 608, 916, 28, 90, 897, 590, 557, 895, 571, 253, 589, 536, 74, 863, 409, 669, 533, 394, 119, 220, 891, 401, 152, 441, 64, 914, 871, 8, 735, 168, 413, 144, 624, 925, 774, 24, 297, 3, 58, 207, 373, 24, 256, 327, 800, 109, 534, 448, 747, 516, 657, 20, 537, 440, 242, 918, 359, 677, 755, 731, 347, 227, 617, 583, 194, 542, 181, 659, 258, 13, 427, 38, 838, 921, 942, 690, 246, 509, 886, 751, 604, 455, 477, 645, 8, 872, 103, 125, 459, 756, 709, 134, 373, 176, 150, 764, 697, 276, 868, 899, 501, 12, 534, 580, 517, 338, 570, 900, 825, 454, 803, 934, 653, 367, 662, 197, 474, 909, 525, 675, 44, 584, 218, 830, 569, 512, 274, 495, 14, 920, 692, 825, 707, 942, 26, 888, 431, 127, 67, 530, 2, 34, 612, 116, 791, 435, 547, 295, 794, 693, 744, 528, 298, 20, 53, 670, 321, 556, 163, 181, 50, 445, 69, 399, 879, 731, 307, 138, 223, 692, 173, 541, 845, 792, 313, 692, 724, 683, 215, 359, 491, 267, 489, 928, 435, 919, 409, 697, 463, 182, 313, 793, 581, 829, 465, 670, 602, 791, 657, 267, 562, 34, 895, 798, 588, 542, 736, 915, 86, 346, 510, 123, 629, 720, 588, 359, 571, 621, 388, 576, 287, 474, 66, 241, 714, 880, 201, 102, 893, 903, 399, 861, 851, 883, 513, 881, 373, 471, 241, 444, 719, 449, 460, 353, 633, 871, 243, 4, 12, 883, 764, 852, 434, 655, 722, 221, 769, 274, 192, 627, 240, 743, 405, 653, 307, 518, 27, 625, 234, 889, 494, 80, 527, 663, 719, 774, 690, 259, 33, 221, 321, 807, 850, 780, 602, 660, 846, 447, 50, 19, 182, 852, 425, 577, 848, 387, 810, 65, 718, 153, 390, 129, 878, 160, 541, 622, 523, 209, 854, 314, 751, 14, 693, 262, 305, 366, 807, 663, 474, 390, 794, 188, 908, 513, 72, 939, 127, 345, 52, 872, 232, 683, 351, 691, 177, 941, 619, 590, 664, 849, 514, 115, 377, 311, 379, 491, 290, 829, 901, 392, 183, 276, 82, 513, 302, 268, 572, 928, 140, 508, 206, 76, 234, 153, 83, 140, 323, 139, 455, 169, 257, 153, 898, 35, 491, 635, 387, 458, 101, 544, 857, 113, 231, 123, 741, 604, 243, 467, 483, 328, 338, 158, 382, 833, 317, 520, 528, 749, 497, 403, 315, 408, 820, 485, 769, 275, 553, 565, 117, 115, 356, 36, 641, 3, 866, 913, 723, 647, 321, 135, 640, 342, 225, 81, 59, 385, 836, 84, 315, 44, 326, 322, 250, 606, 738, 90, 176, 438, 644, 775, 913, 394, 271, 617, 371, 451, 690, 424, 141, 356, 189, 770, 721, 648, 596, 759, 615, 572, 494, 117, 541, 876, 437, 770, 270, 52, 56, 250, 585, 345, 540, 355, 879, 418, 169, 429, 638, 520, 272, 546, 41, 58, 233, 798, 70, 605, 771, 922, 904, 106, 631, 136, 196, 338, 347, 435, 486, 650, 489, 5, 768, 222, 123, 223, 334, 293, 49, 813, 524, 228, 545, 172, 19, 842, 908, 349, 521, 788, 782, 558, 433, 910, 186, 420, 313, 74, 422, 704, 259, 56, 172, 417, 257, 726, 149, 330, 43, 718, 937, 129, 790, 183, 63, 578, 677, 549, 893, 696, 226, 487, 764, 56, 281, 595, 725, 869, 146, 228, 807, 264, 629, 716, 922, 363, 382, 693, 454, 259, 471, 101, 211, 583, 622, 499, 940, 210, 320, 330, 102, 861, 525, 424, 759, 785, 727, 679, 254, 385, 369, 623, 817, 217, 819, 288, 32, 240, 896, 655, 672, 14, 232, 100, 223, 194, 88, 701, 843, 654, 809, 310, 5, 585, 163, 390, 558, 11, 860, 419, 89, 397, 870, 921, 423, 226, 594, 452, 625, 336, 271, 335, 415, 740, 902, 641, 446, 651, 57, 25, 132, 55, 793, 537, 581, 493, 154, 682, 702, 344, 258, 91, 239, 276, 93, 386, 86, 9, 255, 250, 547, 77, 242, 638, 244, 568, 772, 890, 805, 137, 478, 644, 91, 881, 454, 208, 131, 626, 603, 385, 124, 691, 607, 210, 591, 405, 524, 412, 870, 112, 808, 558, 233, 402, 252, 753, 48, 366, 115, 456, 309, 654, 704, 16, 835, 224, 7, 850, 163, 292, 7, 510, 293, 674, 141, 457, 29, 441, 237, 503, 208, 416, 943, 859, 77, 464, 142, 554, 87, 229, 651, 777, 699, 175, 664, 201, 820, 580, 885, 157, 551, 341, 616, 824, 658, 590, 360, 826, 178, 858, 312, 533, 45, 353, 643, 555, 543, 575, 240, 538, 443, 566, 765, 662, 777, 47, 916, 550, 224, 553, 134, 605, 433, 678, 13, 236, 387, 685, 518, 335, 899, 41, 278, 901, 262, 619, 117, 599, 698, 676, 106, 907, 473, 918, 696, 904, 687, 25, 314, 672, 346, 214, 281, 788, 512, 430, 407, 546, 320, 31, 236, 699, 143, 696, 559, 925, 279, 729, 157, 388, 441, 289, 673, 688, 365, 90, 332, 252, 551, 424, 735, 143, 776, 461, 42, 269, 656, 234, 853, 505, 663, 200, 4, 160, 36, 267, 905, 726, 894, 574, 682, 830, 502, 111, 668, 124, 180, 496, 118, 298, 836, 506, 201, 498, 607, 480, 456, 814, 827, 310, 381, 792, 519, 911, 517, 131, 519, 646, 51, 69, 52, 887, 311, 195, 738, 418, 874, 646, 812, 515, 222, 439, 279, 894, 96, 638, 125, 697, 299, 503, 467, 23, 883, 784, 507, 858, 634, 632, 851, 80, 742, 905, 710, 826, 384, 900, 261, 691, 363, 847, 834, 742, 69, 630, 253, 698, 17, 498, 705, 217, 602, 562, 327, 89, 822, 86, 762, 666, 229, 300, 853, 910, 380, 272, 161, 511, 316, 809, 277, 203, 76, 185, 561, 769, 636, 843, 507, 623, 579, 521, 924, 70, 754, 251, 603, 772, 882, 61, 319, 488, 613, 762, 99, 283, 218, 773, 92, 138, 781, 918, 626, 556, 87, 458, 129, 310, 155, 540, 504, 804, 230, 126, 39, 98, 738, 303, 547, 62, 603, 649, 361, 192, 376, 389, 844, 428, 706, 564, 727, 842, 298, 594, 280, 649, 325, 539, 737, 272, 168, 319, 229, 486, 511, 687, 592, 742, 795, 640, 432, 706, 750, 167, 781, 360, 741, 245, 206, 305, 330, 270, 933, 142, 828, 746, 709, 277, 46, 732, 178, 455, 166, 133, 244, 306, 831, 335, 225, 43, 430, 822, 427, 161, 643, 9, 806, 343, 337, 287, 446, 563, 291, 902, 283, 45, 247, 592, 773, 408, 821, 931, 15, 698, 432, 374, 732, 120, 192, 93, 233, 391, 688, 522, 68, 171, 713, 295, 79, 407, 352, 618, 600, 460, 639, 212, 401, 377, 375, 600, 805, 389, 255, 669, 841, 73, 340, 853, 105, 237, 923, 107, 656, 354, 481, 856, 300, 94, 204, 10, 202, 931, 800, 205, 682, 787, 799, 383, 882, 842, 269, 746, 362, 819, 38, 597, 180, 733, 270, 304, 832, 521, 207, 421, 460, 826, 197, 309, 732, 365, 816, 55, 482, 476, 0, 737, 615, 563, 400, 568, 496, 576, 350, 765, 174, 289, 144, 711, 38, 249, 203, 684, 844, 40, 342, 398, 404, 767, 468, 822, 45, 487, 357, 502, 350, 294, 892, 68, 570, 221, 903, 158, 639, 733, 411, 299, 104, 739, 332, 273, 695, 535, 752, 810, 633, 199, 462, 378, 783, 292, 368, 398, 726, 365, 504, 78, 578, 685, 65, 856, 739, 586, 532, 383, 71, 178, 532, 914, 903, 510, 479, 761, 71, 561, 191, 787, 562, 703, 370, 405, 817, 468, 509, 674, 715, 294, 480, 309, 749, 492, 745, 464, 261, 909, 421, 840, 459, 932, 710, 702, 108, 128, 635, 245, 132, 557, 892, 598, 254, 1, 254, 706, 832, 505, 932, 107, 734, 120, 832, 804, 230, 487, 420, 266, 606, 752, 25, 60, 167, 847, 484, 375, 286, 219, 107, 564, 708, 35, 75, 265, 550, 378, 716, 290, 642, 678, 393, 681, 689, 847, 296, 282, 191, 642, 61, 710, 501, 632, 470, 191, 569, 601, 938, 817, 357, 484, 840, 938, 214, 529, 130, 717, 529, 864, 864, 21, 265, 324, 219, 779, 265, 695}

    {934, 848, 818, 248, 646, 72, 567, 579, 371, 526, 760, 555, 705, 224, 712, 545, 410, 791, 410, 395, 786, 288, 15, 607, 269, 172, 633, 372, 348, 506, 548, 793, 659, 756, 730, 608, 227, 328, 522, 593, 108, 535, 624, 485, 344, 746, 148, 53, 432, 396, 158, 477, 323, 156, 480, 830, 729, 536, 601, 122, 552, 712, 396, 676, 506, 573, 554, 283, 155, 73, 450, 449, 587, 21, 284, 380, 339, 244, 27, 720, 570, 535, 57, 559, 771, 915, 447, 810, 744, 843, 285, 457, 88, 150, 758, 421, 62, 926, 0, 537, 875, 156, 367, 181, 136, 436, 508, 893, 157, 565, 445, 247, 121, 469, 431, 217, 277, 85, 855, 46, 542, 256, 284, 569, 536, 30, 794, 315, 258, 780, 16, 915, 51, 802, 880, 749, 630, 256, 796, 278, 613, 747, 528, 875, 525, 653, 30, 164, 712, 112, 260, 275, 62, 146, 81, 246, 336, 757, 929, 772, 92, 881, 465, 279, 409, 556, 9, 177, 235, 523, 213, 839, 582, 274, 846, 838, 782, 317, 319, 24, 402, 398, 288, 429, 109, 54, 520, 610, 150, 766, 246, 863, 355, 527, 227, 444, 782, 609, 640, 775, 198, 410, 449, 394, 701, 912, 371, 416, 388, 855, 711, 796, 59, 370, 720, 597, 220, 852, 16, 731, 652, 763, 499, 748, 2, 897, 17, 612, 463, 887, 770, 353, 198, 188, 128, 20, 37, 926, 242, 928, 567, 844, 778, 776, 861, 802, 306, 684, 68, 927, 818, 136, 453, 331, 156, 361, 857, 648, 940, 135, 688, 549, 257, 148, 312, 906, 341, 820, 12, 255, 328, 888, 447, 189, 381, 485, 395, 434, 469, 632, 382, 884, 865, 859, 118, 911, 935, 714, 929, 838, 685, 266, 326, 453, 57, 882, 645, 303, 796, 657, 837, 166, 301, 333, 589, 154, 395, 581, 473, 263, 252, 636, 490, 828, 37, 403, 452, 700, 792, 483, 667, 941, 845, 922, 275, 531, 839, 138, 583, 119, 818, 715, 99, 652, 708, 104, 778, 785, 906, 516, 241, 329, 364, 322, 909, 929, 670, 884, 362, 733, 237, 29, 137, 601, 789, 116, 91, 243, 839, 18, 552, 185, 500, 271, 889, 592, 566, 805, 751, 850, 72, 800, 848, 531, 206, 392, 724, 50, 186, 451, 814, 392, 339, 140, 497, 664, 18, 812, 938, 65, 426, 28, 771, 110, 936, 666, 728, 297, 687, 797, 675, 186, 919, 823, 235, 619, 133, 344, 103, 885, 248, 644, 630, 98, 876, 457, 897, 845, 595, 489, 766, 148, 98, 707, 676, 348, 768, 617, 564, 372, 22, 5, 389, 423, 126, 121, 273, 577, 744, 499, 301, 544, 238, 624, 851, 231, 878, 262, 11, 175, 895, 871, 348, 629, 347, 552, 526, 149, 539, 645, 686, 168, 596, 877, 709, 834, 404, 721, 419, 6, 345, 159, 869, 453, 596, 122, 314, 101, 438, 443, 85, 780, 661, 532, 419, 8, 924, 665, 695, 650, 763, 427, 183, 100, 329, 719, 426, 658, 591, 748, 788, 567, 906, 655, 103, 260, 586, 44, 36, 211, 835, 880, 341, 47, 440, 202, 260, 539, 356, 343, 278, 526, 231, 94, 917, 748, 943, 19, 679, 941, 616, 422, 824, 759, 606, 121, 429, 334, 790, 100, 110, 890, 40, 654, 210, 860, 865, 575, 151, 896, 661, 575, 212, 213, 658, 715, 281, 846, 67, 591, 119, 312, 798, 162, 699, 293, 467, 912, 741, 482, 361, 179, 500, 514, 102, 776, 239, 860, 754, 284, 867, 637, 113, 549, 729, 781, 823, 367, 82, 774, 465, 811, 331, 147, 495, 494, 611, 461, 64, 342, 46, 47, 935, 155, 768, 577, 760, 417, 580, 857, 548, 469, 734, 160, 604, 218, 921, 614, 898, 337, 170, 942, 904, 358, 219, 337, 812, 162, 285, 543, 829, 226, 755, 213, 437, 135, 888, 703, 93, 209, 378, 60, 551, 236, 919, 308, 326, 170, 680, 631, 355, 519, 440, 6, 195, 714, 486, 22, 813, 730, 436, 862, 927, 97, 286, 518, 89, 137, 777, 886, 874, 118, 873, 694, 452, 717, 753, 301, 802, 334, 533, 837, 358, 471, 828, 456, 303, 775, 626, 99, 362, 374, 757, 15, 174, 886, 165, 300, 182, 154, 637, 707, 786, 159, 426, 524, 680, 205, 680, 754, 898, 797, 755, 683, 943, 239, 694, 743, 369, 582, 625, 188, 650, 75, 589, 492, 823, 13, 502, 146, 222, 351, 329, 896, 869, 566, 408, 559, 816, 874, 439, 704, 814, 937, 431, 179, 872, 546, 824, 51, 59, 151, 83, 756, 512, 386, 543, 665, 264, 721, 268, 194, 584, 468, 637, 811, 402, 397, 935, 461, 67, 867, 553, 930, 757, 574, 905, 939, 311, 815, 108, 878, 515, 228, 196, 610, 151, 773, 4, 149, 808, 415, 416, 605, 187, 527, 380, 627, 779, 930, 858, 32, 786, 917, 418, 193, 841, 863, 563, 490, 235, 302, 511, 582, 561, 531, 917, 927, 587, 85, 261, 381, 736, 70, 608, 340, 448, 369, 936, 849, 414, 120, 795, 616, 31, 789, 200, 11, 133, 849, 621, 386, 472, 743, 936, 297, 631, 728, 17, 423, 304, 488, 84, 819, 208, 443, 660, 612, 445, 745, 413, 610, 161, 415, 879, 173, 196, 379, 55, 789, 530, 661, 404, 700, 134, 139, 587, 500, 80, 787, 548, 507, 333, 870, 628, 152, 599, 808, 462, 597, 131, 304, 813, 48, 97, 357, 890, 73, 184, 444, 372, 379, 428, 723, 81, 652, 322, 694, 620, 190, 891, 225, 835, 477, 94, 220, 122, 711, 368, 760, 889, 205, 41, 761, 667, 765, 725, 198, 859, 200, 809, 436, 302, 481, 866, 202, 74, 26, 627, 422, 628, 933, 700, 470, 778, 925, 722, 634, 126, 282, 291, 176, 111, 299, 753, 26, 679, 203, 170, 718, 114, 145, 516, 508, 811, 803, 173, 621, 451, 377, 33, 490, 669, 383, 705, 478, 428, 544, 53, 232, 677, 165, 384, 238, 514, 472, 413, 139, 894, 438, 855, 396, 797, 515, 113, 668, 686, 538, 864, 713, 634, 937, 866, 442, 29, 439, 900, 437, 280, 76, 473, 571, 23, 875, 63, 187, 740, 924, 214, 639, 33, 594, 346, 23, 204, 343, 914, 736, 831, 190, 554, 801, 442, 351, 185, 360, 493, 615, 930, 636, 493, 907, 745, 253, 317, 517, 595, 268, 887, 207, 681, 593, 184, 574, 684, 305, 649, 167, 18, 391, 212, 58, 735, 803, 920, 821, 77, 193, 901, 87, 891, 340, 125, 916, 673, 666, 142, 785, 323, 144, 899, 497, 642, 495, 320, 164, 147, 651, 0, 498, 287, 783, 327, 7, 411, 318, 266, 230, 579, 790, 466, 430, 926, 476, 273, 784, 434, 492, 247, 171, 111, 417, 27, 867, 116, 397, 716, 104, 1, 82, 166, 325, 352, 758, 868, 910, 193, 643, 671, 920, 618, 374, 784, 124, 132, 349, 78, 412, 762, 614, 730, 414, 522, 668, 614, 442, 412, 199, 32, 143, 939, 877, 61, 538, 907, 209, 165, 42, 728, 701, 42, 708, 758, 84, 868, 180, 336, 446, 425, 578, 656, 931, 750, 609, 264, 195, 737, 940, 825, 475, 458, 414, 647, 902, 306, 169, 433, 75, 216, 364, 816, 450, 290, 672, 292, 671, 584, 333, 164, 216, 31, 933, 393, 411, 488, 459, 496, 106, 727, 540, 291, 171, 263, 141, 245, 854, 740, 295, 96, 482, 238, 724, 932, 78, 162, 127, 475, 114, 325, 530, 251, 588, 568, 39, 703, 1, 251, 289, 462, 448, 689, 3, 623, 799, 799, 854, 795, 358, 837, 105, 282, 678, 923, 354, 79, 501, 752, 877, 503, 534, 425, 400, 249, 821, 368, 647, 466, 49, 659, 332, 618, 406, 375, 350, 761, 376, 827, 400, 401, 184, 159, 815, 667, 92, 504, 22, 211, 48, 187, 175, 248, 10, 783, 96, 565, 550, 407, 576, 384, 804, 834, 54, 505, 464, 308, 197, 109, 831, 280, 352, 862, 600, 767, 249, 130, 294, 420, 10, 376, 406, 873, 39, 204, 665, 484, 873, 801, 723, 472, 466, 60, 40, 892, 586, 635, 509, 674, 147, 6, 43, 841, 660, 681, 609, 856, 475, 476, 308, 105, 717, 54, 673, 49, 833, 801, 734, 827, 450, 128, 876, 21, 557, 750, 349, 114, 598, 671, 702, 296, 216, 95, 79, 364, 739, 806, 174, 478, 806, 911, 316, 611, 529, 71, 189, 598, 913, 840, 324, 97, 130, 479, 28, 833, 370, 393, 145, 815, 713, 318, 88, 923, 479, 318, 199, 286, 406, 296, 470, 316, 689, 190, 95, 95, 145, 324, 779}

    Returns: {0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 }

  25. 822

    {562, 98, 545, 202, 593, 729, 89, 489, 343, 504, 757, 27, 79, 353, 575, 706, 819, 552, 71, 320, 13, 291, 77, 690, 429, 767, 599, 475, 678, 186, 660, 82, 561, 32, 765, 330, 170, 763, 432, 657, 528, 420, 441, 48, 443, 654, 655, 268, 561, 187, 592, 356, 788, 594, 47, 769, 654, 322, 693, 625, 416, 344, 400, 407, 550, 310, 655, 154, 524, 634, 706, 820, 26, 293, 461, 108, 254, 384, 805, 130, 134, 0, 594, 187, 57, 70, 118, 692, 317, 205, 604, 704, 479, 15, 218, 717, 154, 448, 382, 367, 613, 430, 453, 252, 654, 520, 370, 551, 99, 666, 33, 200, 108, 617, 384, 213, 448, 78, 193, 741, 555, 418, 702, 736, 307, 657, 256, 2, 482, 616, 135, 239, 764, 288, 407, 350, 474, 659, 656, 768, 0, 732, 426, 474, 798, 591, 154, 460, 81, 311, 341, 326, 340, 11, 456, 762, 652, 313, 296, 750, 153, 247, 249, 193, 71, 446, 56, 53, 465, 148, 222, 225, 624, 795, 626, 625, 506, 160, 127, 708, 574, 815, 618, 493, 23, 483, 417, 15, 251, 806, 143, 177, 575, 299, 745, 56, 188, 83, 604, 523, 787, 353, 641, 512, 739, 96, 524, 20, 732, 738, 437, 273, 794, 104, 771, 756, 414, 751, 54, 79, 312, 576, 80, 146, 49, 776, 315, 487, 709, 659, 403, 112, 193, 205, 46, 637, 155, 498, 782, 744, 383, 251, 622, 440, 467, 23, 276, 640, 520, 243, 529, 6, 595, 784, 239, 498, 416, 1, 390, 810, 53, 436, 334, 228, 728, 61, 323, 78, 619, 639, 452, 55, 424, 602, 707, 549, 718, 763, 117, 363, 745, 643, 238, 432, 527, 406, 270, 786, 744, 553, 259, 413, 406, 196, 585, 113, 420, 174, 233, 182, 175, 495, 691, 241, 503, 151, 4, 368, 189, 242, 765, 37, 613, 87, 731, 223, 595, 21, 809, 99, 107, 87, 197, 461, 584, 50, 292, 14, 50, 756, 100, 267, 803, 642, 460, 468, 777, 434, 620, 571, 300, 452, 433, 68, 701, 110, 381, 62, 189, 308, 747, 210, 446, 467, 573, 178, 529, 159, 631, 727, 554, 554, 647, 225, 361, 645, 528, 737, 405, 796, 597, 328, 702, 547, 7, 38, 515, 704, 427, 795, 789, 298, 3, 759, 410, 562, 712, 702, 267, 16, 725, 526, 632, 809, 214, 538, 249, 534, 538, 380, 437, 720, 203, 533, 275, 351, 446, 605, 613, 540, 118, 48, 156, 512, 672, 519, 393, 314, 24, 84, 312, 349, 383, 692, 339, 683, 51, 172, 240, 359, 722, 405, 493, 139, 221, 130, 594, 221, 228, 183, 422, 610, 215, 582, 337, 700, 354, 786, 344, 536, 201, 600, 370, 238, 447, 62, 386, 293, 303, 19, 707, 671, 615, 637, 103, 716, 524, 610, 342, 129, 58, 760, 423, 47, 290, 299, 377, 51, 427, 277, 736, 14, 388, 625, 126, 699, 9, 436, 171, 213, 443, 813, 664, 179, 532, 774, 224, 680, 746, 236, 138, 427, 409, 502, 572, 735, 400, 213, 57, 501, 695, 440, 412, 549, 363, 372, 461, 471, 490, 477, 778, 345, 140, 650, 156, 701, 1, 352, 195, 533, 526, 346, 380, 568, 283, 378, 525, 703, 34, 152, 433, 376, 600, 413, 667, 469, 285, 700, 329, 742, 574, 630, 481, 731, 141, 185, 629, 39, 175, 812, 179, 253, 18, 778, 323, 430, 683, 412, 734, 545, 120, 602, 548, 737, 624, 364, 804, 404, 291, 114, 530, 331, 620, 204, 279, 227, 808, 301, 611, 336, 715, 766, 262, 126, 123, 635, 94, 57, 535, 803, 298, 177, 590, 360, 253, 356, 13, 605, 743, 129, 52, 271, 303, 394, 676, 818, 115, 599, 176, 316, 778, 216, 591, 722, 277, 67, 614, 147, 793, 746, 790, 36, 14, 607, 263, 800, 600, 728, 24, 615, 248, 297, 2, 269, 668, 244, 37, 8, 418, 637, 48, 32, 160, 483, 431, 200, 305, 151, 119, 785, 192, 592, 235, 385, 136, 645, 536, 593, 281, 458, 468, 418, 284, 703, 434, 477, 755, 791, 678, 429, 190, 499, 133, 672, 604, 131, 145, 410, 739, 488, 12, 599, 544, 201, 478, 630, 812, 17, 804, 395, 404, 96, 276, 426, 535, 820, 313, 781, 92, 432, 582, 129, 816, 598, 595, 142, 16, 121, 111, 722, 413, 258, 362, 589, 153, 250, 664, 254, 806, 545, 714, 493, 131, 543, 335, 796, 155, 482, 543, 214, 674, 462, 277, 608, 515, 560, 116, 749, 32, 802, 528, 139, 534, 694, 271, 437, 375, 490, 454, 294, 105, 390, 789, 59, 360, 362, 761, 230, 191, 726, 132, 138, 403, 486, 168, 377, 190, 479, 535, 770, 75, 807, 378, 247, 433, 714, 8, 304, 136, 265, 709, 662, 117, 677, 442, 408, 54, 389, 319, 245, 632, 25, 590, 466, 224, 233, 85, 616, 91, 30, 571, 163, 488, 342, 694, 800, 809, 738, 693, 73, 73, 186, 132, 342, 808, 204, 286, 749, 401, 614, 408, 246, 731, 74, 811, 472, 476, 621, 438, 810, 463, 694, 405, 411, 445, 228, 519, 785, 455, 246, 497, 515, 236, 780, 164, 372, 516, 349, 819, 159, 450, 345, 814, 522, 264, 691, 521, 377, 329, 596, 766, 357, 17, 291, 773, 431, 9, 513, 440, 542, 180, 310, 725, 584, 508, 311, 802, 29, 451, 537, 582, 80, 431, 341, 348, 673, 243, 754, 561, 375, 634, 787, 279, 710, 703, 574, 316, 319, 295, 650, 386, 659, 243, 622, 320, 492, 688, 65, 366, 457, 5, 586, 128, 60, 681, 245, 566, 480, 375, 650, 619, 59, 391, 401, 749, 417, 540, 269, 155, 426, 723, 549, 623, 317, 661, 42, 456, 532, 460, 423, 109, 784, 387, 447, 30, 793, 675, 131, 55, 311, 787, 522, 222, 151, 746, 65, 539, 92, 631, 464, 780, 22, 402, 314, 163, 772, 747, 579, 333, 596, 330, 597, 457, 272, 294, 391, 389, 776, 147, 486, 635, 314, 687, 295, 505, 794, 720, 817, 278, 227, 264, 285, 591, 544, 113, 364, 566, 284, 436, 180, 770, 444, 764, 358, 652, 792, 721, 250, 623, 445, 67, 598, 209, 399, 716, 569, 767, 513, 733, 713, 80, 661, 106, 214, 781, 553, 439, 696, 578, 240, 352, 773, 534, 729, 511, 318, 101, 733, 566, 628, 227, 93, 170, 98, 719, 497, 261, 332, 801, 688, 748, 592, 272, 302, 40, 477, 514, 720, 109, 581, 287, 511, 497, 610, 684, 17, 628, 305, 636, 36, 90, 60, 691, 783, 544, 346, 580, 83, 46, 713, 320, 198, 719, 555, 381, 152, 195, 280, 758, 649, 400, 196, 95, 295, 355, 347, 438, 208, 773, 619, 348, 64, 415, 772, 698, 18, 531, 66, 455, 244, 128, 72, 369, 454, 145, 217, 798, 70, 296, 754, 157, 61, 216, 615, 494, 74, 711, 309, 682, 507, 498, 206, 361, 84, 817, 83, 19, 459, 684, 665, 369, 169, 199, 263, 570, 334, 141, 351, 687, 505, 479, 184, 169, 159, 72, 705, 568, 821, 496, 507, 284, 621, 587, 821, 399, 588, 409, 235, 116, 162, 583, 374, 660, 207, 234, 698, 286, 797, 217, 514, 379, 508, 188, 509, 327, 541, 588, 209, 648, 357, 280, 555, 415, 206, 565, 331, 428, 366, 489, 317, 220, 715, 397, 774, 194, 257, 194, 365, 49, 459, 63, 274, 601, 546, 257, 231, 231, 374, 771, 556, 127, 198, 556}

    {724, 488, 88, 656, 502, 738, 79, 546, 337, 249, 629, 315, 328, 39, 376, 174, 305, 518, 287, 802, 146, 97, 753, 124, 191, 465, 119, 669, 751, 89, 76, 414, 743, 16, 69, 797, 2, 510, 293, 605, 20, 100, 260, 551, 93, 100, 451, 589, 125, 339, 753, 207, 166, 777, 50, 612, 706, 182, 504, 254, 237, 171, 743, 752, 656, 182, 158, 676, 647, 618, 153, 735, 620, 563, 473, 646, 675, 633, 732, 281, 518, 236, 161, 776, 727, 752, 553, 45, 52, 380, 260, 101, 586, 548, 239, 708, 164, 122, 173, 525, 178, 122, 707, 533, 350, 639, 428, 134, 421, 393, 395, 708, 337, 71, 56, 649, 473, 476, 737, 15, 292, 219, 683, 283, 251, 42, 424, 816, 753, 174, 184, 172, 4, 367, 711, 478, 43, 646, 361, 617, 639, 671, 512, 200, 557, 339, 233, 166, 442, 256, 590, 612, 667, 476, 178, 313, 118, 469, 510, 260, 651, 475, 114, 223, 686, 97, 761, 344, 66, 503, 617, 165, 741, 805, 259, 10, 242, 288, 349, 593, 407, 144, 208, 674, 253, 612, 212, 121, 138, 10, 53, 501, 111, 46, 494, 34, 745, 727, 108, 797, 548, 135, 559, 410, 541, 128, 567, 799, 799, 224, 255, 608, 501, 261, 481, 689, 491, 161, 504, 419, 74, 146, 789, 258, 547, 39, 325, 248, 657, 210, 759, 126, 107, 704, 122, 124, 265, 542, 760, 232, 705, 551, 130, 771, 807, 85, 697, 462, 279, 187, 288, 564, 645, 402, 211, 64, 564, 453, 618, 82, 212, 801, 795, 223, 55, 575, 338, 751, 443, 297, 663, 376, 416, 176, 258, 221, 315, 259, 573, 782, 552, 140, 529, 270, 510, 750, 321, 530, 66, 705, 4, 814, 769, 398, 505, 785, 644, 94, 68, 755, 143, 78, 452, 670, 120, 526, 346, 301, 9, 513, 321, 663, 662, 626, 44, 670, 261, 64, 762, 353, 766, 199, 690, 641, 806, 343, 755, 157, 77, 759, 142, 692, 686, 203, 18, 69, 20, 467, 646, 813, 557, 567, 638, 817, 641, 385, 788, 596, 69, 560, 104, 0, 765, 562, 457, 232, 45, 62, 143, 144, 466, 482, 91, 175, 382, 552, 632, 554, 189, 59, 204, 365, 84, 527, 520, 686, 448, 527, 292, 82, 347, 19, 633, 640, 181, 424, 506, 219, 395, 205, 576, 684, 635, 256, 29, 725, 503, 638, 299, 760, 308, 354, 663, 793, 576, 495, 8, 67, 567, 392, 762, 282, 627, 192, 421, 721, 384, 40, 185, 318, 471, 388, 378, 653, 142, 422, 609, 507, 777, 456, 468, 10, 271, 91, 124, 165, 255, 584, 531, 237, 602, 211, 730, 7, 442, 382, 495, 133, 35, 177, 803, 564, 499, 414, 522, 536, 462, 521, 609, 12, 472, 783, 323, 246, 572, 12, 816, 94, 763, 363, 275, 137, 21, 779, 607, 7, 458, 47, 360, 115, 734, 352, 119, 429, 21, 473, 673, 642, 608, 475, 421, 655, 752, 423, 585, 449, 88, 44, 301, 697, 255, 226, 247, 296, 770, 601, 481, 327, 168, 807, 348, 449, 282, 117, 485, 820, 451, 210, 783, 273, 678, 42, 207, 54, 750, 458, 573, 394, 634, 88, 487, 307, 77, 623, 333, 149, 633, 542, 640, 234, 68, 120, 333, 530, 792, 430, 758, 709, 3, 115, 135, 607, 664, 474, 603, 568, 245, 717, 813, 140, 740, 329, 149, 471, 148, 614, 558, 578, 425, 172, 58, 679, 666, 307, 393, 557, 110, 631, 362, 547, 714, 51, 185, 465, 447, 422, 371, 538, 445, 265, 238, 237, 121, 166, 434, 671, 163, 630, 772, 374, 273, 695, 629, 89, 408, 666, 723, 786, 420, 111, 525, 75, 647, 721, 197, 667, 517, 326, 211, 324, 76, 506, 682, 690, 687, 149, 677, 742, 644, 283, 805, 373, 321, 308, 539, 736, 267, 480, 774, 455, 485, 240, 627, 769, 324, 563, 484, 297, 282, 403, 268, 322, 95, 201, 539, 406, 162, 560, 203, 693, 728, 571, 559, 350, 160, 306, 168, 309, 775, 219, 464, 36, 319, 173, 734, 540, 37, 672, 24, 712, 165, 636, 428, 303, 252, 733, 328, 609, 113, 500, 86, 572, 52, 543, 768, 306, 133, 523, 23, 389, 500, 75, 371, 197, 176, 791, 449, 516, 699, 290, 326, 275, 87, 425, 125, 152, 136, 27, 742, 134, 215, 164, 192, 390, 811, 125, 212, 661, 186, 454, 502, 487, 699, 300, 92, 469, 710, 11, 202, 730, 740, 364, 812, 262, 764, 643, 665, 685, 642, 589, 674, 804, 217, 717, 696, 492, 102, 372, 28, 156, 670, 579, 215, 114, 338, 209, 26, 387, 324, 480, 242, 404, 385, 730, 511, 85, 309, 359, 167, 392, 626, 558, 241, 1, 411, 638, 757, 289, 276, 76, 171, 206, 401, 735, 494, 73, 740, 27, 226, 13, 784, 202, 322, 739, 340, 653, 110, 371, 758, 685, 508, 312, 681, 559, 368, 679, 5, 358, 718, 33, 370, 628, 622, 435, 226, 685, 616, 112, 359, 99, 673, 811, 688, 191, 173, 61, 373, 357, 779, 718, 819, 161, 652, 229, 373, 570, 123, 603, 668, 101, 338, 587, 355, 724, 5, 96, 248, 398, 285, 147, 537, 278, 450, 107, 486, 644, 6, 799, 351, 270, 598, 302, 621, 680, 767, 669, 144, 450, 167, 580, 286, 29, 306, 713, 818, 281, 483, 586, 343, 325, 327, 278, 58, 696, 747, 579, 490, 651, 464, 341, 697, 167, 105, 814, 289, 499, 148, 484, 796, 689, 41, 60, 316, 411, 332, 701, 336, 435, 195, 336, 340, 695, 478, 137, 45, 123, 392, 354, 726, 782, 383, 675, 104, 252, 523, 791, 105, 38, 132, 472, 145, 581, 208, 648, 11, 680, 216, 611, 112, 485, 396, 700, 698, 65, 266, 180, 627, 181, 33, 266, 97, 250, 563, 756, 229, 438, 402, 139, 335, 388, 417, 489, 345, 470, 500, 287, 744, 72, 651, 565, 519, 748, 412, 677, 232, 532, 28, 188, 409, 518, 379, 606, 521, 170, 712, 391, 798, 668, 40, 800, 90, 810, 439, 298, 38, 821, 801, 102, 597, 794, 63, 748, 234, 550, 318, 330, 262, 577, 558, 463, 453, 43, 290, 310, 367, 26, 150, 757, 636, 93, 369, 222, 761, 660, 229, 81, 470, 137, 580, 230, 463, 365, 31, 716, 601, 658, 355, 444, 768, 496, 541, 386, 90, 444, 669, 304, 653, 116, 415, 724, 44, 603, 394, 419, 31, 624, 289, 662, 95, 179, 31, 30, 356, 3, 198, 531, 396, 35, 792, 729, 181, 268, 779, 269, 723, 492, 509, 325, 682, 516, 466, 676, 304, 577, 387, 470, 184, 425, 81, 109, 194, 103, 263, 25, 754, 41, 141, 689, 220, 710, 818, 643, 98, 43, 681, 150, 741, 396, 509, 368, 815, 157, 439, 218, 241, 25, 679, 435, 398, 648, 577, 537, 334, 441, 86, 719, 649, 726, 711, 790, 585, 611, 35, 606, 496, 230, 225, 190, 550, 815, 169, 381, 588, 300, 578, 218, 781, 514, 183, 581, 569, 332, 484, 570, 102, 441, 775, 347, 780, 583, 274, 399, 34, 49, 459, 790, 235, 294, 86, 715, 302, 199, 28, 775, 565, 331, 419, 266, 788, 41, 358, 70, 103, 158, 658, 335, 220, 106, 280, 106, 583, 231, 244, 587, 274, 658, 162, 264, 491, 366, 491, 569, 63, 397, 808, 606, 272, 397, 379, 6, 22, 183, 158, 517, 517, 665, 196, 556, 150, 546, 257, 22, 127}

    Returns: {0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1 }

  26. 50

    {18, 19, 28, 10, 4, 8, 17, 29, 49, 34, 16, 25, 22, 43, 32, 3, 7, 15, 39, 44, 35, 46, 24, 23, 27, 17, 13, 1, 8, 31, 20, 6, 46, 2, 34, 11, 14, 5, 16, 12, 35, 39, 3, 38, 26, 33, 42, 44, 9, 27, 32, 30, 22, 41, 24, 47, 4, 37, 25, 49, 21, 45, 19, 7, 10, 29, 36, 43, 40, 15, 48, 18, 0, 23, 28}

    {13, 36, 38, 9, 2, 0, 30, 47, 26, 37, 41, 31, 42, 48, 14, 20, 45, 21, 6, 12, 5, 40, 1, 33, 11, 13, 1, 8, 31, 20, 6, 46, 2, 34, 11, 14, 5, 16, 12, 35, 39, 3, 38, 26, 33, 42, 44, 9, 27, 32, 30, 22, 41, 24, 47, 4, 37, 25, 49, 21, 45, 19, 7, 10, 29, 36, 43, 40, 15, 48, 18, 0, 23, 28, 17}

    Returns: {1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0 }

  27. 20

    {3, 4, 15, 5, 7, 13, 1, 10, 19, 2, 11, 4, 14, 9, 15, 17, 5, 0, 13, 7, 10, 12, 18, 16, 8, 1, 3, 2, 19, 6}

    {17, 16, 8, 12, 18, 6, 0, 11, 9, 14, 4, 14, 9, 15, 17, 5, 0, 13, 7, 10, 12, 18, 16, 8, 1, 3, 2, 19, 6, 11}

    Returns: {1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1 }

  28. 92

    {9, 52, 42, 45, 74, 60, 72, 36, 0, 30, 55, 67, 24, 75, 15, 49, 44, 4, 20, 80, 63, 68, 32, 33, 40, 86, 66, 7, 59, 21, 14, 1, 38, 51, 31, 47, 53, 56, 46, 69, 58, 57, 37, 35, 84, 25, 22, 55, 40, 71, 5, 89, 70, 63, 17, 10, 79, 83, 61, 56, 13, 72, 64, 74, 4, 26, 44, 29, 85, 15, 87, 60, 52, 33, 80, 24, 32, 1, 88, 38, 67, 86, 30, 59, 43, 48, 77, 75, 58, 12, 76, 7, 49, 42, 69, 31, 18, 9, 90, 14, 0, 73, 53, 84, 39, 66, 23, 37, 19, 78, 11, 68, 2, 25, 6, 41, 47, 36, 81, 45, 34, 46, 35, 65, 82, 16, 50, 62, 57, 3, 54, 28, 20, 8, 91, 51, 27, 21}

    {91, 81, 29, 83, 6, 5, 39, 71, 88, 11, 10, 43, 89, 87, 73, 62, 85, 2, 41, 79, 19, 23, 78, 18, 13, 27, 28, 34, 64, 50, 77, 65, 48, 8, 3, 17, 90, 54, 12, 70, 26, 22, 82, 16, 76, 61, 55, 40, 71, 5, 89, 70, 63, 17, 10, 79, 83, 61, 56, 13, 72, 64, 74, 4, 26, 44, 29, 85, 15, 87, 60, 52, 33, 80, 24, 32, 1, 88, 38, 67, 86, 30, 59, 43, 48, 77, 75, 58, 12, 76, 7, 49, 42, 69, 31, 18, 9, 90, 14, 0, 73, 53, 84, 39, 66, 23, 37, 19, 78, 11, 68, 2, 25, 6, 41, 47, 36, 81, 45, 34, 46, 35, 65, 82, 16, 50, 62, 57, 3, 54, 28, 20, 8, 91, 51, 27, 21, 22}

    Returns: {1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0 }

  29. 96

    {90, 54, 39, 3, 77, 76, 8, 46, 92, 1, 7, 36, 61, 9, 88, 56, 51, 45, 85, 78, 89, 33, 30, 31, 23, 28, 21, 43, 48, 71, 22, 14, 84, 40, 15, 0, 6, 52, 58, 18, 55, 5, 32, 20, 73, 16, 60, 25, 52, 81, 84, 0, 18, 70, 72, 22, 9, 93, 95, 28, 33, 6, 36, 77, 38, 41, 60, 3, 59, 26, 44, 92, 63, 83, 61, 76, 69, 24, 87, 80, 8, 50, 58, 16, 75, 82, 17, 48, 11, 51, 68, 94, 39, 67, 71, 47, 45, 62, 46, 64, 10, 57, 53, 5, 34, 30, 12, 73, 4, 91, 54, 55, 29, 79, 86, 23, 21, 85, 35, 43, 20, 49, 1, 78, 90, 42, 15, 31, 65, 89, 74, 7, 32, 37, 27, 88, 14, 25, 2, 13, 66, 56, 40, 19}

    {4, 94, 75, 19, 70, 47, 63, 29, 66, 17, 80, 11, 79, 82, 49, 34, 69, 81, 44, 53, 12, 41, 62, 68, 37, 91, 72, 42, 59, 10, 26, 83, 67, 2, 87, 74, 93, 65, 64, 27, 57, 35, 13, 95, 24, 86, 38, 50, 81, 84, 0, 18, 70, 72, 22, 9, 93, 95, 28, 33, 6, 36, 77, 38, 41, 60, 3, 59, 26, 44, 92, 63, 83, 61, 76, 69, 24, 87, 80, 8, 50, 58, 16, 75, 82, 17, 48, 11, 51, 68, 94, 39, 67, 71, 47, 45, 62, 46, 64, 10, 57, 53, 5, 34, 30, 12, 73, 4, 91, 54, 55, 29, 79, 86, 23, 21, 85, 35, 43, 20, 49, 1, 78, 90, 42, 15, 31, 65, 89, 74, 7, 32, 37, 27, 88, 14, 25, 2, 13, 66, 56, 40, 19, 52}

    Returns: {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1 }

  30. 24

    {11, 9, 0, 2, 7, 13, 6, 20, 3, 18, 22, 21, 8, 21, 9, 7, 0, 1, 16, 23, 20, 17, 18, 15, 3, 2, 4, 10, 14, 5, 19, 12, 11, 6, 22, 13}

    {23, 15, 4, 16, 8, 12, 14, 19, 17, 10, 1, 5, 21, 9, 7, 0, 1, 16, 23, 20, 17, 18, 15, 3, 2, 4, 10, 14, 5, 19, 12, 11, 6, 22, 13, 8}

    Returns: {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1 }

  31. 928

    {85, 497, 116, 687, 529, 487, 676, 276, 429, 602, 458, 593, 859, 847, 658, 253, 794, 785, 863, 165, 690, 771, 392, 402, 751, 599, 363, 94, 508, 498, 44, 787, 897, 311, 770, 107, 124, 206, 790, 378, 25, 800, 524, 898, 653, 439, 871, 902, 746, 473, 656, 463, 704, 588, 708, 361, 745, 431, 155, 849, 915, 130, 160, 91, 413, 247, 189, 549, 573, 507, 684, 460, 178, 865, 315, 595, 316, 435, 568, 779, 453, 26, 534, 448, 881, 118, 210, 504, 670, 358, 9, 808, 295, 221, 420, 387, 730, 679, 867, 826, 287, 466, 399, 360, 82, 475, 511, 583, 645, 270, 789, 447, 36, 234, 621, 801, 814, 111, 64, 299, 854, 616, 699, 662, 609, 788, 69, 819, 244, 470, 208, 650, 394, 207, 450, 697, 260, 513, 415, 58, 418, 762, 720, 261, 749, 582, 331, 45, 89, 184, 371, 907, 721, 32, 600, 640, 215, 338, 733, 357, 63, 11, 641, 703, 578, 644, 377, 666, 263, 219, 812, 417, 419, 3, 858, 496, 892, 492, 136, 518, 432, 182, 383, 21, 646, 347, 803, 150, 757, 668, 711, 714, 306, 312, 342, 192, 19, 157, 367, 869, 99, 127, 166, 630, 1, 7, 506, 22, 732, 860, 40, 128, 838, 626, 696, 389, 92, 327, 187, 624, 451, 119, 615, 68, 436, 73, 324, 48, 924, 339, 900, 625, 284, 862, 546, 457, 913, 575, 680, 180, 281, 484, 880, 225, 314, 414, 217, 780, 877, 158, 51, 250, 488, 791, 79, 196, 173, 386, 537, 352, 669, 301, 400, 114, 853, 921, 501, 239, 927, 13, 895, 395, 138, 765, 152, 222, 0, 108, 925, 18, 310, 410, 525, 555, 212, 251, 561, 657, 174, 694, 634, 607, 362, 677, 159, 688, 17, 563, 61, 211, 411, 845, 612, 176, 519, 24, 229, 884, 47, 372, 701, 763, 6, 365, 642, 172, 465, 376, 569, 909, 464, 144, 409, 571, 601, 285, 820, 292, 923, 864, 62, 54, 792, 480, 486, 28, 31, 309, 912, 830, 914, 842, 550, 209, 691, 652, 592, 405, 437, 190, 14, 540, 148, 241, 156, 277, 734, 444, 50, 345, 585, 474, 88, 329, 827, 628, 67, 271, 109, 52, 517, 502, 572, 823, 185, 873, 890, 479, 782, 538, 678, 220, 610, 43, 874, 257, 4, 290, 899, 300, 421, 888, 495, 731, 726, 240, 564, 840, 590, 71, 344, 542, 246, 709, 815, 617, 810, 747, 776, 328, 926, 743, 562, 816, 267, 526, 813, 333, 391, 317, 798, 539, 577, 98, 872, 434, 243, 777, 117, 654, 796, 482, 635, 851, 272, 265, 742, 664, 131, 627, 729, 430, 161, 181, 441, 76, 369, 213, 93, 12, 716, 738, 132, 325, 748, 374, 603, 598, 570, 125, 604, 922, 134, 761, 251, 896, 403, 434, 784, 893, 355, 777, 93, 356, 623, 918, 169, 23, 37, 532, 489, 561, 248, 627, 231, 775, 848, 117, 852, 797, 745, 458, 70, 584, 190, 647, 798, 629, 344, 457, 56, 333, 263, 854, 549, 591, 717, 97, 181, 727, 554, 578, 590, 17, 394, 711, 402, 156, 105, 109, 62, 687, 888, 247, 284, 483, 669, 811, 781, 340, 367, 305, 129, 919, 115, 760, 412, 475, 899, 433, 38, 339, 689, 520, 396, 352, 46, 233, 565, 726, 582, 824, 645, 799, 453, 628, 413, 903, 419, 213, 139, 668, 325, 681, 295, 847, 634, 189, 11, 196, 464, 660, 298, 219, 557, 497, 751, 806, 198, 585, 226, 329, 122, 833, 338, 5, 649, 204, 715, 381, 614, 719, 542, 249, 820, 879, 656, 48, 692, 130, 890, 88, 596, 838, 524, 428, 398, 132, 610, 254, 365, 559, 86, 526, 141, 307, 401, 495, 334, 220, 363, 558, 787, 762, 707, 33, 227, 789, 773, 208, 241, 385, 66, 299, 426, 609, 50, 869, 179, 452, 553, 116, 465, 695, 576, 846, 45, 209, 184, 61, 527, 349, 121, 907, 913, 415, 451, 300, 566, 615, 694, 468, 180, 712, 493, 273, 15, 724, 266, 670, 104, 772, 756, 740, 795, 563, 503, 289, 744, 99, 516, 166, 830, 120, 887, 782, 18, 176, 19, 725, 805, 485, 682, 404, 622, 662, 271, 107, 288, 518, 691, 260, 341, 583, 172, 92, 193, 199, 450, 608, 551, 570, 910, 371, 733, 448, 538, 437, 754, 640, 312, 278, 152, 472, 720, 407, 788, 364, 164, 217, 908, 905, 897, 243, 74, 343, 274, 28, 224, 829, 867, 714, 575, 567, 633, 592, 571, 796, 237, 387, 392, 568, 327, 113, 839, 178, 100, 926, 517, 569, 624, 860, 151, 423, 573, 914, 114, 187, 31, 373, 655, 351, 316, 667, 269, 78, 366, 813, 42, 917, 616, 525, 474, 548, 572, 264, 427, 21, 461, 221, 64, 262, 374, 16, 792, 442, 242, 9, 470, 131, 731, 140, 750, 823, 732, 901, 822, 296, 872, 313, 915, 369, 507, 258, 382, 494, 876, 376, 449, 234, 661, 173, 171, 522, 523, 323, 921, 541, 467, 644, 294, 713, 748, 429, 875, 143, 883, 336, 807, 587, 618, 766, 486, 821, 335, 145, 195, 481, 774, 506, 197, 57, 96, 222, 771, 579, 14, 593, 562, 856, 632, 445, 6, 7, 287, 63, 60, 836, 519, 346, 253, 430, 891, 877, 267, 840, 436, 666, 607, 321, 841, 650, 368, 675, 440, 606, 144, 884, 499, 828, 250, 420, 778, 65, 138, 469, 641, 34, 91, 30, 704, 188, 438, 200, 317, 157, 12, 680, 137, 514, 283, 133, 631, 496, 476, 216, 447, 411, 605, 511, 673, 212, 801, 79, 29, 698, 207, 699, 515, 342, 83, 764, 277, 646, 175, 658, 360, 244, 460, 722, 743, 730, 119, 759, 162, 22, 229, 546, 800, 674, 594, 849, 617, 372, 290, 282, 246, 153, 746, 513, 408, 900, 47, 324, 597, 98, 648, 677, 347, 135, 827, 864, 552, 620, 205, 417, 603, 912, 432, 742, 776, 686, 177, 657, 920, 182, 462, 128, 20, 441, 739, 400, 362, 210, 118, 71, 150, 397, 690, 665, 239, 502, 311, 353, 95, 702, 509, 927, 642, 76, 709, 302, 736, 192, 922, 337, 540, 345, 165, 664, 749, 794, 142, 276, 853, 638, 881, 803, 508, 909, 454, 87, 892, 753, 785, 123, 721, 703, 577, 126, 388, 589, 170, 43, 185, 332, 414, 747, 487, 361, 40, 696, 308, 235, 621, 410, 845, 831, 330, 512, 825, 500, 737, 802, 761, 676, 741, 855, 101, 504, 700, 580, 306, 706, 58, 395, 111, 835, 240, 477, 202, 245, 155, 161, 379, 44, 322, 52, 723, 3, 534, 81, 818, 870, 303, 763, 54, 654, 904, 439, 842, 359, 265, 230, 370, 923, 232, 73, 478, 564, 819, 812, 837, 535, 384, 136, 716, 556, 75, 13, 94, 406, 255, 906, 304, 238, 663, 871, 84, 268, 35, 444, 770, 630, 236, 466, 297, 560, 885, 102, 521, 863, 537, 82, 183, 861, 163, 851, 768, 59, 206, 780, 868, 810, 2, 326, 281, 555, 734, 619, 693, 653, 225, 873, 280, 418, 68, 769, 69, 911, 728, 127, 729, 270, 309, 826, 27, 301, 51, 866, 55, 874, 252, 350, 479, 767, 383, 214, 710, 894, 125, 790, 215, 501, 409, 635, 416, 422, 110, 708, 604, 539, 279, 505, 637, 862, 41, 24, 228, 391, 651, 186, 191, 816, 174, 755, 0, 203, 880, 390, 586, 194, 421, 613, 211, 639, 431, 533, 275, 291, 652, 793, 261, 783, 752, 386, 779, 8, 683, 124, 808, 545, 895, 889, 357, 286, 149, 600, 4, 595, 158, 80, 443, 625, 399, 804, 814, 1, 26, 315, 354, 697, 791, 858, 701, 685, 916, 134, 463, 106, 817, 32, 377, 77, 293, 375, 358, 85, 530, 89, 850, 602, 285, 636, 154, 435, 147, 536, 599, 455, 67, 878, 815, 348, 103, 36, 389, 492, 160, 159, 844, 314, 612, 718, 531, 611, 643, 843, 39, 659, 256, 834, 529, 72, 378, 471, 257, 25, 320, 405, 857, 786, 809, 491, 488, 738, 757, 223, 626, 550, 832, 201, 672, 882, 581, 393, 108, 671, 473, 148, 498, 482, 574, 480, 331, 679, 924, 425, 259, 705, 902, 310, 678, 865, 167, 490, 765, 688, 168, 898, 598, 601, 318, 758, 49, 90, 446, 292, 380, 10, 53, 544, 859, 456, 112, 547, 459, 319, 886, 925, 484, 218, 272, 528, 510, 735, 146, 424, 684, 328, 588, 543}

    {799, 15, 673, 100, 532, 521, 674, 168, 462, 223, 337, 614, 514, 659, 503, 821, 296, 852, 639, 57, 825, 304, 723, 805, 783, 870, 428, 110, 879, 204, 202, 553, 637, 56, 264, 81, 364, 806, 53, 275, 619, 359, 356, 46, 556, 147, 712, 605, 876, 385, 380, 467, 919, 753, 403, 483, 423, 354, 350, 541, 193, 55, 837, 916, 326, 886, 584, 188, 291, 717, 416, 586, 30, 407, 384, 313, 665, 839, 443, 855, 533, 231, 613, 258, 104, 106, 274, 115, 795, 700, 167, 681, 596, 236, 528, 759, 129, 784, 663, 404, 725, 230, 755, 469, 767, 252, 335, 368, 87, 151, 841, 321, 289, 829, 149, 105, 566, 200, 866, 218, 917, 142, 170, 382, 797, 631, 279, 856, 836, 698, 516, 536, 233, 330, 163, 259, 425, 96, 237, 476, 393, 706, 702, 778, 37, 242, 433, 235, 373, 123, 408, 548, 199, 232, 318, 822, 27, 505, 580, 493, 5, 878, 509, 597, 101, 198, 901, 90, 262, 135, 75, 305, 397, 424, 77, 302, 456, 774, 638, 710, 412, 398, 95, 297, 567, 861, 772, 97, 744, 512, 833, 449, 203, 543, 278, 793, 552, 269, 141, 918, 737, 660, 768, 693, 112, 850, 531, 468, 535, 727, 286, 201, 807, 2, 557, 80, 164, 606, 828, 844, 322, 633, 750, 893, 632, 766, 689, 8, 353, 34, 438, 461, 341, 256, 162, 649, 885, 683, 183, 551, 611, 65, 831, 471, 581, 113, 857, 248, 343, 594, 736, 809, 643, 905, 587, 636, 440, 523, 145, 288, 422, 500, 846, 920, 49, 375, 868, 647, 42, 307, 489, 889, 832, 576, 883, 245, 293, 910, 340, 60, 719, 477, 126, 323, 760, 282, 121, 618, 445, 754, 255, 728, 388, 268, 835, 459, 911, 739, 349, 565, 558, 59, 510, 904, 84, 520, 758, 303, 346, 249, 817, 103, 29, 695, 273, 355, 544, 348, 427, 671, 197, 903, 78, 824, 390, 366, 875, 667, 86, 120, 83, 574, 396, 527, 254, 20, 623, 579, 266, 490, 908, 686, 591, 238, 137, 146, 406, 896, 818, 351, 661, 715, 38, 589, 10, 478, 752, 319, 35, 332, 16, 426, 175, 442, 224, 741, 843, 171, 169, 735, 882, 214, 227, 334, 906, 848, 718, 530, 648, 724, 764, 675, 177, 102, 692, 446, 66, 560, 491, 769, 298, 216, 72, 756, 308, 194, 515, 547, 773, 153, 740, 713, 186, 320, 70, 205, 454, 143, 554, 228, 472, 179, 620, 401, 154, 283, 494, 545, 722, 651, 559, 294, 802, 786, 226, 485, 370, 629, 122, 33, 682, 455, 622, 887, 705, 280, 522, 379, 655, 499, 891, 834, 775, 608, 804, 685, 336, 894, 452, 381, 707, 74, 39, 195, 139, 781, 140, 133, 672, 41, 481, 811, 191, 23, 896, 403, 434, 784, 893, 355, 777, 93, 356, 623, 918, 169, 23, 37, 532, 489, 561, 248, 627, 231, 775, 848, 117, 852, 797, 745, 458, 70, 584, 190, 647, 798, 629, 344, 457, 56, 333, 263, 854, 549, 591, 717, 97, 181, 727, 554, 578, 590, 17, 394, 711, 402, 156, 105, 109, 62, 687, 888, 247, 284, 483, 669, 811, 781, 340, 367, 305, 129, 919, 115, 760, 412, 475, 899, 433, 38, 339, 689, 520, 396, 352, 46, 233, 565, 726, 582, 824, 645, 799, 453, 628, 413, 903, 419, 213, 139, 668, 325, 681, 295, 847, 634, 189, 11, 196, 464, 660, 298, 219, 557, 497, 751, 806, 198, 585, 226, 329, 122, 833, 338, 5, 649, 204, 715, 381, 614, 719, 542, 249, 820, 879, 656, 48, 692, 130, 890, 88, 596, 838, 524, 428, 398, 132, 610, 254, 365, 559, 86, 526, 141, 307, 401, 495, 334, 220, 363, 558, 787, 762, 707, 33, 227, 789, 773, 208, 241, 385, 66, 299, 426, 609, 50, 869, 179, 452, 553, 116, 465, 695, 576, 846, 45, 209, 184, 61, 527, 349, 121, 907, 913, 415, 451, 300, 566, 615, 694, 468, 180, 712, 493, 273, 15, 724, 266, 670, 104, 772, 756, 740, 795, 563, 503, 289, 744, 99, 516, 166, 830, 120, 887, 782, 18, 176, 19, 725, 805, 485, 682, 404, 622, 662, 271, 107, 288, 518, 691, 260, 341, 583, 172, 92, 193, 199, 450, 608, 551, 570, 910, 371, 733, 448, 538, 437, 754, 640, 312, 278, 152, 472, 720, 407, 788, 364, 164, 217, 908, 905, 897, 243, 74, 343, 274, 28, 224, 829, 867, 714, 575, 567, 633, 592, 571, 796, 237, 387, 392, 568, 327, 113, 839, 178, 100, 926, 517, 569, 624, 860, 151, 423, 573, 914, 114, 187, 31, 373, 655, 351, 316, 667, 269, 78, 366, 813, 42, 917, 616, 525, 474, 548, 572, 264, 427, 21, 461, 221, 64, 262, 374, 16, 792, 442, 242, 9, 470, 131, 731, 140, 750, 823, 732, 901, 822, 296, 872, 313, 915, 369, 507, 258, 382, 494, 876, 376, 449, 234, 661, 173, 171, 522, 523, 323, 921, 541, 467, 644, 294, 713, 748, 429, 875, 143, 883, 336, 807, 587, 618, 766, 486, 821, 335, 145, 195, 481, 774, 506, 197, 57, 96, 222, 771, 579, 14, 593, 562, 856, 632, 445, 6, 7, 287, 63, 60, 836, 519, 346, 253, 430, 891, 877, 267, 840, 436, 666, 607, 321, 841, 650, 368, 675, 440, 606, 144, 884, 499, 828, 250, 420, 778, 65, 138, 469, 641, 34, 91, 30, 704, 188, 438, 200, 317, 157, 12, 680, 137, 514, 283, 133, 631, 496, 476, 216, 447, 411, 605, 511, 673, 212, 801, 79, 29, 698, 207, 699, 515, 342, 83, 764, 277, 646, 175, 658, 360, 244, 460, 722, 743, 730, 119, 759, 162, 22, 229, 546, 800, 674, 594, 849, 617, 372, 290, 282, 246, 153, 746, 513, 408, 900, 47, 324, 597, 98, 648, 677, 347, 135, 827, 864, 552, 620, 205, 417, 603, 912, 432, 742, 776, 686, 177, 657, 920, 182, 462, 128, 20, 441, 739, 400, 362, 210, 118, 71, 150, 397, 690, 665, 239, 502, 311, 353, 95, 702, 509, 927, 642, 76, 709, 302, 736, 192, 922, 337, 540, 345, 165, 664, 749, 794, 142, 276, 853, 638, 881, 803, 508, 909, 454, 87, 892, 753, 785, 123, 721, 703, 577, 126, 388, 589, 170, 43, 185, 332, 414, 747, 487, 361, 40, 696, 308, 235, 621, 410, 845, 831, 330, 512, 825, 500, 737, 802, 761, 676, 741, 855, 101, 504, 700, 580, 306, 706, 58, 395, 111, 835, 240, 477, 202, 245, 155, 161, 379, 44, 322, 52, 723, 3, 534, 81, 818, 870, 303, 763, 54, 654, 904, 439, 842, 359, 265, 230, 370, 923, 232, 73, 478, 564, 819, 812, 837, 535, 384, 136, 716, 556, 75, 13, 94, 406, 255, 906, 304, 238, 663, 871, 84, 268, 35, 444, 770, 630, 236, 466, 297, 560, 885, 102, 521, 863, 537, 82, 183, 861, 163, 851, 768, 59, 206, 780, 868, 810, 2, 326, 281, 555, 734, 619, 693, 653, 225, 873, 280, 418, 68, 769, 69, 911, 728, 127, 729, 270, 309, 826, 27, 301, 51, 866, 55, 874, 252, 350, 479, 767, 383, 214, 710, 894, 125, 790, 215, 501, 409, 635, 416, 422, 110, 708, 604, 539, 279, 505, 637, 862, 41, 24, 228, 391, 651, 186, 191, 816, 174, 755, 0, 203, 880, 390, 586, 194, 421, 613, 211, 639, 431, 533, 275, 291, 652, 793, 261, 783, 752, 386, 779, 8, 683, 124, 808, 545, 895, 889, 357, 286, 149, 600, 4, 595, 158, 80, 443, 625, 399, 804, 814, 1, 26, 315, 354, 697, 791, 858, 701, 685, 916, 134, 463, 106, 817, 32, 377, 77, 293, 375, 358, 85, 530, 89, 850, 602, 285, 636, 154, 435, 147, 536, 599, 455, 67, 878, 815, 348, 103, 36, 389, 492, 160, 159, 844, 314, 612, 718, 531, 611, 643, 843, 39, 659, 256, 834, 529, 72, 378, 471, 257, 25, 320, 405, 857, 786, 809, 491, 488, 738, 757, 223, 626, 550, 832, 201, 672, 882, 581, 393, 108, 671, 473, 148, 498, 482, 574, 480, 331, 679, 924, 425, 259, 705, 902, 310, 678, 865, 167, 490, 765, 688, 168, 898, 598, 601, 318, 758, 49, 90, 446, 292, 380, 10, 53, 544, 859, 456, 112, 547, 459, 319, 886, 925, 484, 218, 272, 528, 510, 735, 146, 424, 684, 328, 588, 543, 251}

    Returns: {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1 }

  32. 954

    {799, 772, 453, 463, 308, 773, 420, 556, 19, 162, 880, 855, 355, 20, 882, 108, 49, 758, 836, 210, 742, 632, 272, 460, 48, 305, 608, 902, 899, 623, 396, 764, 735, 850, 498, 85, 936, 685, 370, 947, 565, 363, 193, 59, 725, 825, 743, 60, 374, 282, 388, 91, 494, 817, 454, 531, 824, 32, 541, 727, 433, 607, 450, 367, 467, 891, 444, 200, 120, 628, 398, 563, 275, 590, 843, 218, 928, 756, 452, 368, 256, 190, 657, 491, 86, 496, 207, 376, 516, 185, 161, 283, 1, 687, 262, 913, 733, 662, 304, 789, 950, 822, 170, 839, 202, 868, 669, 513, 935, 739, 610, 605, 892, 250, 917, 883, 315, 788, 147, 664, 311, 373, 228, 486, 168, 260, 484, 134, 520, 74, 593, 160, 289, 264, 144, 10, 911, 650, 157, 751, 821, 447, 357, 929, 442, 655, 320, 381, 844, 941, 15, 451, 580, 404, 946, 728, 543, 619, 35, 591, 45, 830, 437, 90, 933, 805, 667, 104, 41, 606, 724, 178, 900, 659, 570, 455, 341, 426, 307, 288, 507, 761, 8, 538, 159, 629, 752, 910, 2, 421, 922, 81, 80, 920, 776, 209, 818, 139, 349, 865, 766, 270, 67, 58, 781, 542, 809, 696, 775, 360, 873, 458, 77, 183, 26, 870, 797, 689, 350, 833, 552, 323, 765, 564, 704, 106, 271, 487, 245, 326, 417, 137, 771, 149, 810, 191, 626, 345, 63, 730, 39, 78, 397, 714, 195, 449, 344, 634, 526, 864, 914, 173, 876, 99, 499, 105, 266, 392, 674, 566, 886, 684, 24, 30, 204, 906, 232, 798, 401, 291, 356, 721, 575, 701, 11, 787, 278, 631, 654, 146, 808, 778, 377, 842, 42, 285, 194, 166, 912, 172, 192, 431, 506, 57, 71, 239, 407, 216, 351, 217, 287, 832, 130, 495, 945, 347, 372, 816, 127, 620, 441, 841, 101, 211, 169, 362, 179, 636, 885, 939, 621, 706, 637, 457, 189, 903, 324, 353, 257, 547, 716, 153, 829, 692, 750, 143, 740, 661, 274, 140, 681, 333, 703, 117, 786, 944, 586, 866, 523, 603, 335, 599, 33, 331, 800, 533, 524, 464, 265, 276, 219, 52, 924, 813, 4, 518, 919, 648, 369, 466, 51, 749, 622, 896, 329, 663, 942, 545, 299, 197, 243, 649, 47, 918, 738, 237, 700, 476, 394, 412, 316, 723, 317, 336, 313, 748, 338, 633, 128, 481, 269, 79, 668, 867, 624, 641, 403, 717, 515, 783, 826, 549, 231, 448, 303, 93, 705, 793, 559, 731, 879, 334, 6, 330, 145, 630, 930, 856, 5, 258, 708, 872, 188, 70, 65, 926, 500, 25, 760, 718, 943, 838, 779, 223, 635, 828, 889, 319, 835, 0, 203, 302, 277, 479, 652, 554, 567, 184, 613, 517, 268, 318, 354, 301, 125, 155, 671, 602, 461, 115, 286, 643, 840, 658, 881, 163, 482, 80, 551, 671, 557, 787, 691, 773, 879, 563, 443, 918, 208, 281, 524, 641, 654, 904, 309, 866, 759, 305, 318, 475, 1, 530, 679, 340, 920, 124, 254, 355, 146, 755, 408, 795, 676, 76, 943, 38, 670, 689, 518, 581, 642, 229, 944, 331, 883, 545, 870, 572, 311, 881, 168, 225, 148, 77, 104, 139, 692, 502, 478, 15, 891, 436, 673, 560, 521, 771, 456, 89, 233, 643, 142, 877, 696, 616, 834, 821, 875, 911, 660, 763, 761, 165, 485, 195, 177, 246, 532, 935, 193, 690, 549, 170, 368, 774, 49, 764, 562, 808, 328, 852, 131, 245, 362, 722, 252, 393, 739, 62, 809, 31, 674, 507, 862, 345, 493, 611, 333, 515, 313, 553, 10, 323, 559, 154, 347, 558, 859, 501, 438, 716, 41, 463, 238, 855, 444, 908, 500, 411, 2, 220, 433, 511, 785, 873, 247, 295, 717, 57, 278, 896, 379, 926, 291, 832, 838, 497, 823, 840, 81, 215, 874, 605, 158, 919, 638, 498, 871, 634, 864, 700, 151, 661, 93, 927, 513, 683, 571, 912, 687, 153, 775, 20, 644, 798, 737, 390, 329, 648, 708, 724, 747, 155, 103, 628, 224, 332, 577, 91, 319, 114, 636, 706, 728, 166, 232, 449, 569, 13, 772, 330, 8, 98, 298, 47, 465, 95, 378, 520, 161, 164, 412, 517, 184, 726, 499, 853, 365, 132, 710, 52, 207, 264, 406, 90, 414, 156, 736, 554, 33, 256, 273, 848, 612, 191, 678, 897, 655, 418, 221, 130, 913, 704, 534, 18, 324, 222, 109, 381, 535, 42, 420, 842, 403, 386, 942, 119, 767, 55, 951, 341, 899, 470, 404, 321, 731, 711, 409, 223, 27, 181, 5, 94, 544, 317, 878, 851, 121, 746, 462, 860, 450, 289, 813, 34, 344, 117, 703, 482, 398, 598, 804, 51, 373, 856, 304, 285, 529, 339, 219, 701, 807, 941, 327, 320, 269, 589, 916, 663, 424, 754, 543, 936, 844, 570, 422, 531, 4, 192, 391, 789, 516, 294, 623, 45, 484, 314, 407, 367, 44, 647, 249, 945, 489, 477, 194, 546, 61, 748, 346, 932, 382, 600, 525, 173, 740, 790, 455, 857, 906, 490, 658, 854, 357, 135, 541, 587, 841, 74, 349, 96, 778, 614, 833, 452, 504, 141, 299, 471, 533, 136, 584, 175, 270, 306, 385, 650, 354, 938, 894, 392, 743, 828, 87, 167, 730, 384, 876, 646, 880, 649, 350, 508, 937, 228, 197, 586, 665, 826, 608, 315, 461, 180, 491, 652, 922, 762, 895, 292, 376, 627, 68, 556, 43, 953, 765, 539, 645, 370, 172, 846, 940, 720, 460, 185, 112, 458, 214, 751, 265, 138, 275, 538, 413, 664, 351, 202, 745, 108, 3, 816, 526, 363, 631, 713, 312, 723, 830, 900, 149, 552, 416, 70, 503, 58, 925, 67, 69, 29, 279, 248, 741, 931, 886, 698, 682, 301, 829, 781, 268, 705, 435, 212, 672, 186, 568, 606, 348, 709, 353, 129, 858, 603, 242, 190, 218, 719, 476, 266, 451, 183, 255, 210, 241, 307, 901, 948, 567, 145, 939, 56, 487, 101, 162, 921, 86, 100, 201, 793, 23, 401, 909, 769, 276, 63, 668, 16, 802, 133, 882, 92, 425, 893, 914, 952, 799, 11, 585, 619, 481, 662, 113, 159, 9, 253, 234, 448, 915, 343, 902, 620, 262, 588, 742, 621, 699, 494, 812, 335, 523, 359, 30, 176, 442, 666, 429, 843, 454, 574, 752, 325, 171, 453, 364, 22, 949, 160, 865, 776, 152, 800, 71, 758, 732, 48, 784, 235, 536, 707, 898, 198, 750, 782, 99, 492, 115, 303, 237, 308, 495, 356, 337, 336, 469, 596, 421, 26, 447, 211, 794, 437, 480, 25, 810, 488, 817, 496, 439, 143, 796, 685, 322, 78, 744, 839, 777, 820, 12, 695, 613, 282, 597, 169, 236, 890, 83, 6, 334, 868, 729, 681, 509, 434, 609, 24, 527, 783, 251, 885, 66, 651, 123, 835, 280, 366, 824, 622, 128, 542, 825, 718, 73, 174, 822, 464, 205, 60, 82, 617, 326, 677, 231, 506, 629, 372, 440, 187, 361, 561, 849, 263, 510, 753, 400, 316, 684, 850, 675, 757, 446, 550, 387, 770, 924, 54, 505, 227, 64, 397, 217, 797, 727, 615, 686, 110, 473, 284, 633, 21, 733, 277, 199, 582, 831, 780, 863, 667, 933, 7, 188, 547, 468, 200, 374, 930, 595, 892, 791, 209, 394, 32, 575, 583, 178, 283, 19, 801, 607, 694, 239, 626, 805, 693, 428, 766, 163, 126, 226, 296, 466, 427, 486, 928, 432, 653, 576, 459, 721, 591, 483, 290, 573, 903, 512, 431, 888, 150, 244, 111, 0, 179, 271, 637, 203, 75, 884, 540, 811, 445, 37, 53, 803, 760, 17, 593, 127, 14, 369, 204, 342, 140, 50, 725, 272, 116, 120, 28, 579, 680, 467, 122, 714, 632, 837, 715, 137, 297, 555, 267, 65, 479, 84, 910, 189, 610, 887, 216, 240, 118, 360, 259, 377, 845, 847, 869, 402, 102, 929, 947, 352, 624, 40, 580, 602, 380, 39, 85, 274, 261, 669, 338, 688, 107, 257, 182, 907, 712, 806, 105, 405, 36, 302, 396, 157, 814, 639, 441, 604, 134, 659, 88, 300, 388, 734, 46, 836, 358, 756, 371, 788, 125, 819, 827, 815, 399, 601, 565, 419, 243, 395, 594, 430, 389, 250, 472, 310, 383, 106, 258, 522, 599, 749, 950, 528, 417, 79, 514, 635, 818, 548, 625, 946, 630, 697, 618, 206, 889, 415, 288, 519, 768, 779, 564, 590, 867, 923, 861, 72, 792, 735, 286, 656, 287, 905, 260, 59, 426, 147, 457, 144, 872, 786, 702, 196, 657, 97, 410, 35, 230, 578, 934, 375, 537, 566, 640, 213, 423, 592, 917, 738, 474, 293}

    {527, 16, 410, 17, 84, 618, 386, 544, 823, 253, 68, 242, 677, 741, 686, 562, 901, 343, 577, 893, 573, 691, 711, 488, 582, 424, 214, 774, 697, 175, 695, 604, 28, 537, 938, 795, 244, 284, 150, 683, 952, 14, 375, 129, 869, 220, 785, 387, 64, 673, 588, 871, 745, 734, 165, 777, 806, 859, 411, 281, 9, 558, 279, 379, 56, 226, 366, 887, 327, 116, 94, 425, 759, 96, 492, 61, 12, 391, 36, 722, 720, 7, 916, 321, 820, 569, 710, 314, 953, 811, 142, 719, 834, 121, 854, 246, 298, 505, 473, 259, 21, 471, 530, 770, 187, 322, 208, 29, 97, 438, 72, 574, 501, 247, 238, 468, 951, 732, 75, 688, 408, 443, 429, 601, 553, 645, 88, 497, 763, 583, 640, 399, 439, 352, 863, 100, 435, 514, 646, 837, 612, 328, 346, 921, 416, 812, 585, 248, 557, 405, 241, 803, 198, 915, 119, 782, 156, 459, 884, 103, 221, 790, 791, 215, 66, 754, 475, 485, 847, 493, 113, 472, 694, 895, 76, 534, 98, 597, 665, 54, 196, 890, 23, 512, 846, 693, 332, 348, 340, 666, 337, 595, 679, 474, 135, 126, 118, 503, 535, 414, 415, 709, 310, 325, 627, 413, 422, 907, 436, 73, 804, 672, 261, 878, 609, 746, 579, 560, 87, 528, 419, 600, 546, 642, 102, 40, 894, 267, 109, 508, 784, 43, 306, 690, 393, 361, 792, 31, 230, 176, 384, 715, 38, 293, 571, 292, 757, 69, 151, 861, 877, 180, 233, 107, 615, 519, 747, 55, 227, 780, 598, 483, 581, 568, 827, 675, 551, 213, 802, 511, 934, 13, 796, 434, 251, 462, 92, 445, 555, 133, 95, 653, 389, 639, 234, 572, 762, 699, 297, 932, 446, 432, 707, 383, 925, 164, 815, 406, 931, 212, 378, 521, 729, 845, 138, 240, 525, 768, 860, 249, 131, 385, 949, 440, 358, 638, 201, 364, 755, 937, 136, 89, 62, 177, 418, 339, 737, 300, 616, 182, 206, 409, 199, 904, 807, 909, 529, 122, 539, 295, 124, 647, 504, 225, 395, 596, 111, 359, 309, 875, 380, 82, 851, 236, 27, 578, 255, 522, 469, 171, 50, 617, 382, 174, 536, 611, 254, 34, 540, 477, 561, 390, 660, 465, 154, 427, 576, 584, 712, 736, 37, 110, 852, 235, 456, 680, 53, 229, 702, 644, 342, 152, 849, 948, 489, 402, 940, 656, 478, 112, 273, 898, 480, 490, 428, 594, 753, 83, 132, 676, 510, 290, 263, 670, 927, 682, 123, 44, 853, 769, 22, 908, 205, 862, 819, 400, 550, 532, 698, 224, 365, 767, 794, 252, 280, 18, 548, 651, 888, 858, 814, 502, 592, 923, 296, 831, 713, 848, 874, 897, 186, 167, 430, 3, 614, 587, 114, 905, 371, 158, 46, 312, 222, 625, 470, 423, 141, 801, 857, 589, 181, 294, 509, 744, 148, 726, 678, 551, 671, 557, 787, 691, 773, 879, 563, 443, 918, 208, 281, 524, 641, 654, 904, 309, 866, 759, 305, 318, 475, 1, 530, 679, 340, 920, 124, 254, 355, 146, 755, 408, 795, 676, 76, 943, 38, 670, 689, 518, 581, 642, 229, 944, 331, 883, 545, 870, 572, 311, 881, 168, 225, 148, 77, 104, 139, 692, 502, 478, 15, 891, 436, 673, 560, 521, 771, 456, 89, 233, 643, 142, 877, 696, 616, 834, 821, 875, 911, 660, 763, 761, 165, 485, 195, 177, 246, 532, 935, 193, 690, 549, 170, 368, 774, 49, 764, 562, 808, 328, 852, 131, 245, 362, 722, 252, 393, 739, 62, 809, 31, 674, 507, 862, 345, 493, 611, 333, 515, 313, 553, 10, 323, 559, 154, 347, 558, 859, 501, 438, 716, 41, 463, 238, 855, 444, 908, 500, 411, 2, 220, 433, 511, 785, 873, 247, 295, 717, 57, 278, 896, 379, 926, 291, 832, 838, 497, 823, 840, 81, 215, 874, 605, 158, 919, 638, 498, 871, 634, 864, 700, 151, 661, 93, 927, 513, 683, 571, 912, 687, 153, 775, 20, 644, 798, 737, 390, 329, 648, 708, 724, 747, 155, 103, 628, 224, 332, 577, 91, 319, 114, 636, 706, 728, 166, 232, 449, 569, 13, 772, 330, 8, 98, 298, 47, 465, 95, 378, 520, 161, 164, 412, 517, 184, 726, 499, 853, 365, 132, 710, 52, 207, 264, 406, 90, 414, 156, 736, 554, 33, 256, 273, 848, 612, 191, 678, 897, 655, 418, 221, 130, 913, 704, 534, 18, 324, 222, 109, 381, 535, 42, 420, 842, 403, 386, 942, 119, 767, 55, 951, 341, 899, 470, 404, 321, 731, 711, 409, 223, 27, 181, 5, 94, 544, 317, 878, 851, 121, 746, 462, 860, 450, 289, 813, 34, 344, 117, 703, 482, 398, 598, 804, 51, 373, 856, 304, 285, 529, 339, 219, 701, 807, 941, 327, 320, 269, 589, 916, 663, 424, 754, 543, 936, 844, 570, 422, 531, 4, 192, 391, 789, 516, 294, 623, 45, 484, 314, 407, 367, 44, 647, 249, 945, 489, 477, 194, 546, 61, 748, 346, 932, 382, 600, 525, 173, 740, 790, 455, 857, 906, 490, 658, 854, 357, 135, 541, 587, 841, 74, 349, 96, 778, 614, 833, 452, 504, 141, 299, 471, 533, 136, 584, 175, 270, 306, 385, 650, 354, 938, 894, 392, 743, 828, 87, 167, 730, 384, 876, 646, 880, 649, 350, 508, 937, 228, 197, 586, 665, 826, 608, 315, 461, 180, 491, 652, 922, 762, 895, 292, 376, 627, 68, 556, 43, 953, 765, 539, 645, 370, 172, 846, 940, 720, 460, 185, 112, 458, 214, 751, 265, 138, 275, 538, 413, 664, 351, 202, 745, 108, 3, 816, 526, 363, 631, 713, 312, 723, 830, 900, 149, 552, 416, 70, 503, 58, 925, 67, 69, 29, 279, 248, 741, 931, 886, 698, 682, 301, 829, 781, 268, 705, 435, 212, 672, 186, 568, 606, 348, 709, 353, 129, 858, 603, 242, 190, 218, 719, 476, 266, 451, 183, 255, 210, 241, 307, 901, 948, 567, 145, 939, 56, 487, 101, 162, 921, 86, 100, 201, 793, 23, 401, 909, 769, 276, 63, 668, 16, 802, 133, 882, 92, 425, 893, 914, 952, 799, 11, 585, 619, 481, 662, 113, 159, 9, 253, 234, 448, 915, 343, 902, 620, 262, 588, 742, 621, 699, 494, 812, 335, 523, 359, 30, 176, 442, 666, 429, 843, 454, 574, 752, 325, 171, 453, 364, 22, 949, 160, 865, 776, 152, 800, 71, 758, 732, 48, 784, 235, 536, 707, 898, 198, 750, 782, 99, 492, 115, 303, 237, 308, 495, 356, 337, 336, 469, 596, 421, 26, 447, 211, 794, 437, 480, 25, 810, 488, 817, 496, 439, 143, 796, 685, 322, 78, 744, 839, 777, 820, 12, 695, 613, 282, 597, 169, 236, 890, 83, 6, 334, 868, 729, 681, 509, 434, 609, 24, 527, 783, 251, 885, 66, 651, 123, 835, 280, 366, 824, 622, 128, 542, 825, 718, 73, 174, 822, 464, 205, 60, 82, 617, 326, 677, 231, 506, 629, 372, 440, 187, 361, 561, 849, 263, 510, 753, 400, 316, 684, 850, 675, 757, 446, 550, 387, 770, 924, 54, 505, 227, 64, 397, 217, 797, 727, 615, 686, 110, 473, 284, 633, 21, 733, 277, 199, 582, 831, 780, 863, 667, 933, 7, 188, 547, 468, 200, 374, 930, 595, 892, 791, 209, 394, 32, 575, 583, 178, 283, 19, 801, 607, 694, 239, 626, 805, 693, 428, 766, 163, 126, 226, 296, 466, 427, 486, 928, 432, 653, 576, 459, 721, 591, 483, 290, 573, 903, 512, 431, 888, 150, 244, 111, 0, 179, 271, 637, 203, 75, 884, 540, 811, 445, 37, 53, 803, 760, 17, 593, 127, 14, 369, 204, 342, 140, 50, 725, 272, 116, 120, 28, 579, 680, 467, 122, 714, 632, 837, 715, 137, 297, 555, 267, 65, 479, 84, 910, 189, 610, 887, 216, 240, 118, 360, 259, 377, 845, 847, 869, 402, 102, 929, 947, 352, 624, 40, 580, 602, 380, 39, 85, 274, 261, 669, 338, 688, 107, 257, 182, 907, 712, 806, 105, 405, 36, 302, 396, 157, 814, 639, 441, 604, 134, 659, 88, 300, 388, 734, 46, 836, 358, 756, 371, 788, 125, 819, 827, 815, 399, 601, 565, 419, 243, 395, 594, 430, 389, 250, 472, 310, 383, 106, 258, 522, 599, 749, 950, 528, 417, 79, 514, 635, 818, 548, 625, 946, 630, 697, 618, 206, 889, 415, 288, 519, 768, 779, 564, 590, 867, 923, 861, 72, 792, 735, 286, 656, 287, 905, 260, 59, 426, 147, 457, 144, 872, 786, 702, 196, 657, 97, 410, 35, 230, 578, 934, 375, 537, 566, 640, 213, 423, 592, 917, 738, 474, 293, 80}

    Returns: {1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1 }

  33. 874

    {341, 848, 702, 117, 527, 23, 21, 461, 845, 119, 59, 270, 172, 284, 626, 276, 310, 303, 349, 737, 178, 169, 275, 295, 292, 497, 829, 320, 858, 794, 24, 89, 419, 264, 613, 192, 386, 408, 631, 576, 590, 628, 248, 131, 184, 485, 197, 552, 462, 307, 757, 392, 852, 513, 555, 826, 78, 252, 615, 492, 179, 698, 274, 98, 83, 474, 356, 74, 28, 418, 198, 88, 20, 230, 580, 47, 458, 350, 61, 684, 424, 750, 173, 783, 50, 464, 727, 856, 140, 748, 551, 600, 262, 411, 6, 379, 251, 768, 415, 166, 360, 804, 396, 660, 808, 141, 467, 480, 49, 201, 849, 663, 728, 557, 167, 14, 435, 409, 718, 805, 506, 110, 400, 721, 655, 287, 802, 708, 487, 716, 382, 720, 255, 321, 639, 865, 573, 52, 145, 149, 216, 811, 316, 368, 31, 55, 363, 54, 561, 171, 868, 82, 143, 608, 857, 378, 796, 159, 446, 144, 851, 666, 121, 817, 343, 112, 79, 753, 351, 847, 525, 157, 584, 583, 731, 744, 709, 58, 798, 189, 85, 759, 571, 66, 176, 322, 544, 694, 840, 133, 864, 572, 565, 873, 530, 302, 522, 501, 867, 488, 99, 743, 129, 91, 214, 822, 306, 471, 686, 64, 65, 676, 1, 337, 627, 574, 612, 547, 224, 535, 588, 520, 669, 63, 116, 12, 364, 657, 188, 150, 812, 630, 260, 636, 450, 335, 22, 432, 32, 629, 634, 234, 36, 457, 517, 309, 538, 383, 646, 595, 577, 838, 161, 641, 616, 713, 210, 394, 137, 675, 263, 390, 651, 398, 312, 443, 732, 814, 373, 33, 624, 489, 529, 740, 285, 76, 348, 414, 5, 619, 393, 13, 707, 734, 213, 661, 591, 827, 95, 507, 586, 16, 338, 701, 541, 336, 389, 647, 70, 730, 426, 687, 767, 749, 331, 514, 431, 333, 37, 793, 299, 139, 475, 524, 491, 207, 810, 791, 376, 780, 80, 633, 516, 111, 495, 696, 499, 427, 340, 296, 428, 672, 60, 300, 369, 855, 589, 807, 539, 7, 175, 653, 736, 278, 181, 800, 29, 454, 256, 190, 476, 862, 218, 503, 231, 286, 439, 604, 357, 27, 787, 581, 362, 652, 235, 668, 168, 477, 81, 673, 405, 138, 703, 304, 839, 374, 448, 853, 575, 135, 239, 645, 249, 215, 771, 153, 410, 289, 578, 92, 719, 473, 859, 835, 358, 73, 606, 820, 69, 332, 493, 782, 177, 785, 233, 67, 722, 452, 699, 406, 451, 603, 843, 244, 314, 437, 246, 813, 797, 692, 587, 704, 319, 128, 841, 695, 106, 560, 265, 579, 68, 267, 648, 156, 688, 705, 842, 389, 69, 100, 93, 617, 660, 657, 374, 359, 568, 306, 542, 778, 85, 803, 738, 457, 71, 735, 75, 106, 492, 33, 761, 62, 246, 537, 547, 383, 173, 227, 688, 324, 370, 64, 117, 801, 445, 776, 137, 594, 452, 239, 681, 791, 174, 175, 97, 379, 705, 703, 422, 739, 336, 772, 147, 541, 337, 829, 121, 567, 312, 533, 63, 716, 406, 141, 800, 684, 286, 390, 465, 663, 416, 626, 8, 148, 86, 332, 102, 58, 868, 590, 615, 206, 700, 87, 633, 702, 124, 136, 497, 646, 309, 486, 4, 629, 644, 489, 266, 340, 609, 1, 747, 198, 603, 448, 806, 114, 353, 608, 664, 9, 217, 557, 413, 526, 725, 355, 251, 487, 23, 323, 715, 368, 555, 561, 233, 82, 574, 807, 428, 651, 516, 560, 816, 214, 870, 847, 544, 720, 621, 818, 393, 484, 361, 235, 799, 849, 28, 11, 783, 176, 454, 297, 35, 267, 618, 871, 89, 441, 45, 551, 83, 840, 848, 819, 607, 833, 732, 675, 493, 271, 524, 593, 375, 479, 205, 291, 55, 757, 169, 572, 811, 107, 318, 731, 426, 662, 666, 647, 81, 409, 794, 857, 686, 299, 534, 779, 290, 154, 714, 550, 866, 856, 480, 710, 512, 257, 168, 596, 0, 384, 578, 467, 427, 70, 399, 99, 476, 546, 559, 31, 488, 199, 867, 758, 797, 792, 250, 79, 252, 76, 156, 862, 563, 256, 661, 625, 669, 321, 446, 654, 244, 642, 307, 349, 496, 602, 699, 404, 549, 282, 548, 40, 717, 679, 90, 475, 531, 767, 606, 400, 51, 813, 742, 366, 706, 863, 343, 398, 261, 88, 132, 774, 518, 372, 755, 749, 565, 704, 410, 360, 187, 334, 167, 330, 293, 260, 149, 462, 5, 209, 287, 539, 597, 295, 190, 301, 470, 763, 255, 42, 354, 377, 341, 135, 315, 659, 765, 564, 223, 133, 160, 310, 304, 741, 841, 161, 444, 766, 821, 637, 14, 279, 367, 432, 787, 844, 52, 447, 449, 221, 358, 694, 545, 197, 240, 115, 762, 388, 408, 418, 259, 781, 129, 789, 680, 510, 178, 641, 676, 591, 743, 142, 131, 391, 21, 130, 785, 769, 522, 748, 649, 689, 216, 118, 140, 760, 412, 322, 276, 823, 158, 648, 474, 440, 820, 460, 202, 859, 320, 620, 29, 344, 329, 84, 184, 401, 804, 407, 314, 752, 583, 109, 411, 78, 145, 790, 207, 91, 351, 552, 450, 595, 543, 331, 258, 56, 333, 852, 204, 685, 191, 507, 16, 394, 554, 219, 520, 573, 163, 317, 98, 695, 459, 128, 683, 826, 469, 538, 782, 592, 415, 576, 110, 589, 671, 588, 25, 566, 726, 281, 773, 482, 232, 338, 339, 812, 768, 116, 584, 723, 38, 697, 632, 180, 855, 402, 860, 179, 126, 284, 397, 275, 519, 523, 571, 210, 845, 503, 376, 238, 435, 274, 864, 319, 506, 499, 431, 311, 254, 579, 656, 481, 693, 809, 873, 283, 610, 850, 264, 104, 164, 754, 356, 47, 335, 719, 627, 701, 586, 265, 420, 280, 123, 247, 650, 41, 740, 371, 570, 580, 60, 636, 430, 453, 532, 472, 672, 640, 143, 325, 425, 846, 777, 54, 540, 638, 347, 50, 285, 10, 858, 249, 72, 96, 604, 521, 150, 515, 788, 677, 316, 691, 814, 443, 483, 139, 558, 834, 424, 434, 619, 268, 835, 57, 405, 830, 387, 828, 429, 628, 112, 92, 208, 113, 253, 7, 170, 815, 159, 80, 865, 386, 157, 302, 796, 134, 166, 108, 737, 262, 836, 421, 468, 485, 211, 494, 854, 655, 234, 753, 707, 236, 504, 736, 690, 101, 728, 12, 231, 396, 611, 196, 442, 498, 308, 713, 32, 750, 49, 22, 842, 581, 203, 631, 392, 436, 614, 2, 381, 729, 780, 635, 810, 363, 634, 6, 278, 682, 746, 273, 673, 350, 536, 667, 605, 613, 73, 652, 665, 463, 362, 263, 66, 3, 13, 419, 839, 127, 215, 326, 122, 751, 770, 153, 678, 342, 786, 712, 172, 831, 18, 162, 759, 300, 477, 668, 843, 225, 692, 155, 224, 226, 243, 171, 230, 478, 784, 437, 473, 296, 241, 500, 653, 471, 288, 194, 414, 832, 824, 348, 724, 764, 380, 327, 495, 181, 177, 193, 294, 802, 600, 527, 517, 535, 623, 61, 220, 756, 403, 352, 272, 514, 27, 68, 616, 59, 553, 438, 94, 222, 838, 67, 775, 698, 490, 528, 270, 587, 151, 456, 718, 19, 674, 200, 328, 303, 513, 237, 138, 455, 658, 189, 105, 853, 451, 43, 364, 501, 722, 612, 37, 511, 433, 165, 345, 525, 17, 188, 624, 771, 369, 192, 15, 20, 423, 185, 577, 795, 186, 709, 228, 146, 461, 696, 582, 346, 218, 622, 711, 144, 745, 861, 464, 313, 530, 502, 120, 569, 508, 385, 744, 46, 599, 817, 48, 44, 152, 733, 562, 357, 630, 305, 53, 645, 183, 248, 598, 822, 808, 825, 872, 111, 491, 382, 103, 182, 242, 195, 585, 34, 575, 466, 213, 229, 798, 65, 26, 119, 395, 74, 269, 837, 289, 298, 24, 639, 277, 292, 417, 529, 805, 373, 245, 601, 439, 201, 730, 378, 556, 458, 125, 727, 95, 721, 687, 643, 670, 734, 39, 509, 212, 30, 869, 793, 505, 708, 36, 827, 365, 77, 851}

    {441, 222, 607, 863, 342, 833, 832, 469, 766, 769, 301, 344, 773, 48, 751, 232, 108, 777, 598, 558, 564, 741, 96, 26, 90, 162, 39, 436, 515, 10, 466, 772, 792, 305, 209, 151, 836, 546, 75, 459, 191, 662, 425, 290, 500, 665, 243, 127, 258, 602, 509, 532, 40, 465, 57, 308, 658, 318, 518, 366, 118, 430, 147, 550, 625, 11, 160, 623, 381, 266, 502, 494, 831, 549, 355, 621, 281, 803, 671, 806, 56, 691, 326, 438, 752, 523, 165, 34, 94, 664, 72, 8, 778, 123, 423, 483, 103, 401, 869, 261, 113, 712, 725, 618, 206, 399, 543, 385, 821, 747, 241, 257, 816, 41, 146, 250, 330, 818, 742, 142, 283, 861, 746, 638, 582, 844, 380, 180, 247, 605, 377, 254, 199, 510, 273, 9, 35, 656, 846, 871, 43, 291, 124, 152, 866, 556, 217, 225, 440, 259, 683, 706, 566, 735, 693, 505, 614, 102, 228, 240, 359, 470, 809, 594, 371, 481, 536, 107, 585, 238, 193, 62, 187, 277, 345, 795, 311, 610, 87, 592, 433, 490, 540, 456, 659, 789, 460, 120, 126, 567, 429, 781, 229, 253, 774, 542, 678, 526, 680, 412, 391, 484, 870, 352, 823, 334, 45, 109, 545, 453, 15, 315, 38, 71, 637, 323, 367, 125, 196, 347, 183, 519, 504, 609, 596, 850, 282, 353, 611, 689, 632, 635, 404, 824, 670, 268, 830, 237, 339, 786, 570, 685, 642, 819, 654, 186, 733, 765, 77, 219, 512, 553, 293, 715, 700, 226, 84, 297, 854, 329, 422, 208, 18, 104, 279, 269, 298, 148, 559, 745, 202, 86, 711, 764, 195, 486, 554, 761, 30, 496, 416, 738, 407, 534, 788, 449, 763, 220, 801, 537, 182, 643, 784, 130, 597, 755, 101, 375, 622, 650, 828, 155, 387, 479, 447, 163, 617, 528, 681, 468, 122, 682, 97, 620, 790, 212, 203, 690, 531, 779, 726, 328, 46, 245, 185, 498, 395, 272, 562, 775, 370, 223, 511, 100, 294, 388, 776, 194, 455, 563, 723, 729, 200, 674, 154, 508, 434, 365, 42, 569, 739, 170, 482, 548, 242, 164, 236, 815, 799, 4, 599, 325, 760, 53, 770, 463, 697, 402, 442, 601, 420, 19, 837, 724, 521, 421, 93, 115, 834, 677, 762, 158, 280, 417, 3, 710, 174, 872, 324, 403, 756, 568, 413, 714, 0, 221, 361, 17, 211, 444, 44, 2, 649, 640, 397, 533, 860, 445, 758, 327, 679, 644, 667, 51, 354, 25, 114, 288, 346, 472, 825, 313, 227, 105, 384, 717, 271, 132, 372, 136, 317, 593, 204, 134, 205, 478, 754, 69, 100, 93, 617, 660, 657, 374, 359, 568, 306, 542, 778, 85, 803, 738, 457, 71, 735, 75, 106, 492, 33, 761, 62, 246, 537, 547, 383, 173, 227, 688, 324, 370, 64, 117, 801, 445, 776, 137, 594, 452, 239, 681, 791, 174, 175, 97, 379, 705, 703, 422, 739, 336, 772, 147, 541, 337, 829, 121, 567, 312, 533, 63, 716, 406, 141, 800, 684, 286, 390, 465, 663, 416, 626, 8, 148, 86, 332, 102, 58, 868, 590, 615, 206, 700, 87, 633, 702, 124, 136, 497, 646, 309, 486, 4, 629, 644, 489, 266, 340, 609, 1, 747, 198, 603, 448, 806, 114, 353, 608, 664, 9, 217, 557, 413, 526, 725, 355, 251, 487, 23, 323, 715, 368, 555, 561, 233, 82, 574, 807, 428, 651, 516, 560, 816, 214, 870, 847, 544, 720, 621, 818, 393, 484, 361, 235, 799, 849, 28, 11, 783, 176, 454, 297, 35, 267, 618, 871, 89, 441, 45, 551, 83, 840, 848, 819, 607, 833, 732, 675, 493, 271, 524, 593, 375, 479, 205, 291, 55, 757, 169, 572, 811, 107, 318, 731, 426, 662, 666, 647, 81, 409, 794, 857, 686, 299, 534, 779, 290, 154, 714, 550, 866, 856, 480, 710, 512, 257, 168, 596, 0, 384, 578, 467, 427, 70, 399, 99, 476, 546, 559, 31, 488, 199, 867, 758, 797, 792, 250, 79, 252, 76, 156, 862, 563, 256, 661, 625, 669, 321, 446, 654, 244, 642, 307, 349, 496, 602, 699, 404, 549, 282, 548, 40, 717, 679, 90, 475, 531, 767, 606, 400, 51, 813, 742, 366, 706, 863, 343, 398, 261, 88, 132, 774, 518, 372, 755, 749, 565, 704, 410, 360, 187, 334, 167, 330, 293, 260, 149, 462, 5, 209, 287, 539, 597, 295, 190, 301, 470, 763, 255, 42, 354, 377, 341, 135, 315, 659, 765, 564, 223, 133, 160, 310, 304, 741, 841, 161, 444, 766, 821, 637, 14, 279, 367, 432, 787, 844, 52, 447, 449, 221, 358, 694, 545, 197, 240, 115, 762, 388, 408, 418, 259, 781, 129, 789, 680, 510, 178, 641, 676, 591, 743, 142, 131, 391, 21, 130, 785, 769, 522, 748, 649, 689, 216, 118, 140, 760, 412, 322, 276, 823, 158, 648, 474, 440, 820, 460, 202, 859, 320, 620, 29, 344, 329, 84, 184, 401, 804, 407, 314, 752, 583, 109, 411, 78, 145, 790, 207, 91, 351, 552, 450, 595, 543, 331, 258, 56, 333, 852, 204, 685, 191, 507, 16, 394, 554, 219, 520, 573, 163, 317, 98, 695, 459, 128, 683, 826, 469, 538, 782, 592, 415, 576, 110, 589, 671, 588, 25, 566, 726, 281, 773, 482, 232, 338, 339, 812, 768, 116, 584, 723, 38, 697, 632, 180, 855, 402, 860, 179, 126, 284, 397, 275, 519, 523, 571, 210, 845, 503, 376, 238, 435, 274, 864, 319, 506, 499, 431, 311, 254, 579, 656, 481, 693, 809, 873, 283, 610, 850, 264, 104, 164, 754, 356, 47, 335, 719, 627, 701, 586, 265, 420, 280, 123, 247, 650, 41, 740, 371, 570, 580, 60, 636, 430, 453, 532, 472, 672, 640, 143, 325, 425, 846, 777, 54, 540, 638, 347, 50, 285, 10, 858, 249, 72, 96, 604, 521, 150, 515, 788, 677, 316, 691, 814, 443, 483, 139, 558, 834, 424, 434, 619, 268, 835, 57, 405, 830, 387, 828, 429, 628, 112, 92, 208, 113, 253, 7, 170, 815, 159, 80, 865, 386, 157, 302, 796, 134, 166, 108, 737, 262, 836, 421, 468, 485, 211, 494, 854, 655, 234, 753, 707, 236, 504, 736, 690, 101, 728, 12, 231, 396, 611, 196, 442, 498, 308, 713, 32, 750, 49, 22, 842, 581, 203, 631, 392, 436, 614, 2, 381, 729, 780, 635, 810, 363, 634, 6, 278, 682, 746, 273, 673, 350, 536, 667, 605, 613, 73, 652, 665, 463, 362, 263, 66, 3, 13, 419, 839, 127, 215, 326, 122, 751, 770, 153, 678, 342, 786, 712, 172, 831, 18, 162, 759, 300, 477, 668, 843, 225, 692, 155, 224, 226, 243, 171, 230, 478, 784, 437, 473, 296, 241, 500, 653, 471, 288, 194, 414, 832, 824, 348, 724, 764, 380, 327, 495, 181, 177, 193, 294, 802, 600, 527, 517, 535, 623, 61, 220, 756, 403, 352, 272, 514, 27, 68, 616, 59, 553, 438, 94, 222, 838, 67, 775, 698, 490, 528, 270, 587, 151, 456, 718, 19, 674, 200, 328, 303, 513, 237, 138, 455, 658, 189, 105, 853, 451, 43, 364, 501, 722, 612, 37, 511, 433, 165, 345, 525, 17, 188, 624, 771, 369, 192, 15, 20, 423, 185, 577, 795, 186, 709, 228, 146, 461, 696, 582, 346, 218, 622, 711, 144, 745, 861, 464, 313, 530, 502, 120, 569, 508, 385, 744, 46, 599, 817, 48, 44, 152, 733, 562, 357, 630, 305, 53, 645, 183, 248, 598, 822, 808, 825, 872, 111, 491, 382, 103, 182, 242, 195, 585, 34, 575, 466, 213, 229, 798, 65, 26, 119, 395, 74, 269, 837, 289, 298, 24, 639, 277, 292, 417, 529, 805, 373, 245, 601, 439, 201, 730, 378, 556, 458, 125, 727, 95, 721, 687, 643, 670, 734, 39, 509, 212, 30, 869, 793, 505, 708, 36, 827, 365, 77, 851, 389}

    Returns: {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1 }

  34. 908

    {713, 19, 282, 534, 611, 345, 246, 829, 629, 416, 118, 120, 471, 640, 422, 133, 239, 424, 265, 828, 288, 317, 812, 892, 408, 479, 378, 572, 606, 837, 0, 10, 350, 663, 627, 228, 195, 303, 672, 151, 447, 632, 754, 512, 1, 819, 906, 401, 704, 682, 591, 201, 674, 154, 374, 681, 650, 325, 230, 749, 761, 821, 710, 777, 124, 775, 30, 675, 123, 647, 237, 552, 596, 115, 607, 375, 861, 782, 396, 160, 205, 513, 183, 407, 814, 497, 258, 878, 508, 832, 347, 204, 827, 358, 902, 259, 7, 69, 190, 320, 482, 873, 48, 825, 42, 419, 539, 565, 581, 546, 179, 699, 662, 117, 155, 888, 712, 726, 588, 815, 515, 291, 566, 411, 185, 119, 53, 530, 275, 163, 787, 703, 487, 701, 412, 838, 122, 890, 11, 66, 580, 767, 886, 876, 843, 742, 443, 100, 455, 343, 260, 135, 473, 368, 182, 661, 362, 805, 202, 807, 420, 736, 364, 884, 126, 361, 489, 280, 184, 603, 753, 517, 686, 147, 101, 449, 297, 232, 799, 97, 833, 649, 522, 386, 835, 733, 620, 327, 37, 848, 494, 355, 450, 480, 466, 312, 851, 113, 436, 15, 152, 626, 720, 287, 166, 858, 802, 161, 492, 432, 44, 32, 461, 598, 817, 217, 112, 901, 862, 296, 285, 503, 167, 538, 700, 697, 561, 889, 549, 223, 63, 403, 791, 385, 743, 822, 2, 90, 465, 277, 129, 731, 399, 705, 456, 600, 711, 86, 738, 533, 668, 149, 313, 644, 463, 448, 623, 824, 24, 667, 121, 244, 525, 571, 314, 379, 563, 506, 263, 592, 745, 170, 865, 21, 9, 393, 164, 575, 573, 31, 394, 39, 840, 89, 579, 500, 332, 84, 284, 514, 504, 801, 389, 360, 270, 74, 392, 625, 537, 605, 224, 318, 71, 763, 402, 792, 444, 130, 3, 758, 373, 498, 707, 554, 688, 107, 718, 141, 153, 438, 409, 17, 60, 582, 692, 871, 247, 808, 290, 353, 896, 860, 125, 80, 186, 346, 340, 794, 519, 809, 46, 483, 891, 762, 883, 309, 516, 413, 20, 245, 268, 595, 637, 140, 330, 199, 870, 542, 895, 110, 576, 142, 459, 507, 208, 452, 586, 496, 756, 137, 14, 16, 490, 462, 200, 868, 898, 427, 694, 803, 532, 698, 305, 604, 36, 344, 441, 429, 724, 897, 72, 723, 702, 556, 673, 730, 300, 657, 666, 630, 557, 499, 470, 406, 61, 77, 88, 12, 879, 893, 872, 544, 535, 156, 82, 796, 168, 594, 531, 830, 464, 752, 50, 509, 22, 811, 669, 881, 856, 102, 278, 773, 191, 680, 578, 493, 527, 495, 788, 744, 43, 49, 341, 426, 59, 266, 404, 150, 836, 564, 887, 857, 894, 158, 627, 155, 109, 597, 794, 820, 524, 830, 34, 253, 82, 251, 826, 324, 543, 240, 719, 458, 346, 648, 337, 850, 531, 535, 651, 378, 168, 894, 158, 31, 103, 370, 864, 396, 644, 865, 139, 782, 50, 244, 381, 663, 128, 48, 175, 130, 628, 304, 305, 602, 491, 898, 767, 21, 664, 62, 592, 821, 762, 390, 416, 534, 66, 359, 429, 441, 290, 3, 414, 56, 418, 711, 371, 219, 654, 226, 41, 101, 292, 287, 303, 561, 340, 363, 51, 626, 478, 559, 132, 212, 248, 608, 803, 800, 330, 280, 694, 660, 315, 655, 294, 752, 389, 854, 774, 452, 376, 892, 757, 775, 281, 475, 255, 802, 451, 691, 410, 616, 729, 579, 723, 252, 373, 453, 0, 148, 879, 369, 732, 673, 540, 136, 299, 91, 111, 557, 229, 285, 611, 841, 300, 490, 222, 322, 515, 364, 12, 230, 123, 105, 811, 19, 436, 572, 501, 206, 286, 318, 693, 162, 612, 669, 541, 134, 791, 806, 185, 284, 264, 883, 205, 209, 189, 319, 349, 438, 859, 404, 488, 728, 262, 311, 76, 210, 662, 65, 485, 100, 710, 578, 725, 215, 450, 630, 674, 119, 583, 878, 882, 465, 13, 135, 234, 486, 446, 816, 862, 897, 771, 849, 88, 15, 810, 448, 236, 192, 646, 780, 347, 218, 47, 350, 43, 271, 166, 633, 689, 895, 658, 276, 843, 503, 519, 845, 89, 613, 430, 153, 650, 120, 225, 899, 482, 505, 629, 467, 121, 848, 642, 296, 194, 447, 495, 815, 18, 247, 159, 881, 492, 596, 16, 641, 250, 126, 900, 875, 423, 671, 72, 637, 472, 402, 858, 618, 722, 94, 469, 427, 344, 164, 665, 406, 789, 202, 639, 360, 131, 563, 489, 444, 756, 474, 422, 745, 797, 533, 496, 331, 704, 338, 552, 355, 726, 388, 678, 553, 71, 721, 636, 397, 462, 544, 506, 282, 549, 500, 776, 227, 657, 54, 753, 647, 677, 888, 40, 118, 326, 374, 36, 750, 863, 513, 498, 220, 104, 831, 468, 675, 621, 24, 731, 8, 857, 317, 656, 718, 382, 822, 548, 44, 494, 257, 419, 231, 45, 466, 74, 701, 737, 667, 150, 313, 587, 545, 643, 57, 456, 98, 874, 755, 172, 586, 68, 443, 274, 504, 79, 273, 603, 341, 308, 880, 706, 542, 510, 768, 907, 502, 200, 530, 824, 379, 415, 306, 595, 395, 836, 817, 52, 93, 204, 461, 99, 834, 600, 217, 214, 570, 431, 683, 107, 571, 870, 435, 49, 259, 852, 713, 146, 749, 321, 798, 851, 708, 764, 375, 483, 720, 477, 289, 211, 703, 564, 796, 266, 332, 607, 565, 421, 17, 885, 307, 27, 697, 243, 522, 216, 555, 75, 837, 808, 901, 833, 690, 278, 432, 575, 267, 582, 736, 279, 73, 277, 649, 464, 705, 302, 7, 178, 634, 195, 840, 772, 199, 679, 698, 839, 770, 523, 339, 777, 125, 554, 142, 835, 328, 312, 761, 518, 161, 905, 221, 198, 180, 793, 812, 481, 154, 594, 1, 428, 872, 58, 59, 314, 739, 818, 526, 387, 413, 92, 497, 825, 127, 356, 457, 437, 743, 30, 283, 866, 556, 539, 147, 144, 766, 823, 614, 235, 514, 591, 601, 403, 512, 87, 433, 735, 420, 188, 902, 805, 695, 26, 138, 809, 333, 716, 521, 891, 801, 392, 174, 661, 744, 890, 499, 114, 140, 254, 460, 20, 598, 385, 170, 795, 207, 536, 842, 176, 275, 807, 829, 394, 884, 223, 265, 712, 537, 672, 186, 788, 773, 562, 156, 659, 877, 187, 606, 470, 439, 122, 424, 336, 167, 246, 213, 588, 631, 335, 97, 297, 696, 163, 63, 301, 717, 190, 733, 487, 412, 855, 551, 573, 889, 11, 493, 869, 14, 239, 348, 709, 473, 184, 191, 224, 228, 408, 590, 362, 425, 742, 838, 779, 566, 25, 847, 781, 463, 380, 102, 409, 124, 896, 141, 263, 368, 358, 751, 145, 846, 143, 272, 714, 117, 581, 295, 60, 871, 84, 558, 685, 291, 232, 748, 792, 682, 527, 401, 684, 357, 476, 70, 183, 886, 567, 676, 640, 110, 10, 201, 270, 758, 622, 484, 208, 157, 699, 724, 604, 760, 32, 738, 623, 799, 813, 832, 605, 609, 740, 666, 329, 511, 747, 334, 904, 508, 434, 538, 137, 814, 480, 165, 707, 83, 245, 67, 668, 372, 400, 196, 86, 645, 471, 42, 405, 237, 615, 784, 173, 179, 39, 681, 398, 516, 197, 560, 765, 90, 169, 29, 96, 853, 906, 769, 827, 550, 868, 342, 4, 64, 181, 38, 589, 479, 617, 85, 112, 353, 692, 610, 635, 249, 763, 391, 867, 585, 399, 81, 261, 786, 35, 323, 528, 343, 440, 22, 759, 108, 258, 574, 778, 455, 529, 903, 182, 241, 727, 787, 638, 525, 632, 893, 345, 37, 411, 325, 577, 442, 366, 746, 584, 532, 151, 133, 78, 593, 55, 670, 6, 256, 33, 193, 730, 361, 783, 624, 625, 116, 351, 203, 23, 509, 129, 861, 653, 77, 233, 790, 828, 507, 160, 260, 393, 785, 876, 316, 171, 269, 449, 844, 754, 367, 288, 687, 95, 149, 856, 454, 238, 546, 688, 569, 365, 242, 517, 652, 9, 293, 417, 680, 459, 426, 445, 46, 268, 887, 352, 69, 804, 28, 61, 383, 580, 741, 2, 619, 106, 177, 702, 819, 80, 576, 377, 715, 384, 320, 873, 599, 113, 386, 310, 620, 53, 547, 152, 686, 568, 115, 860, 700, 5, 309, 734, 354, 407, 520, 298, 327}

    {653, 583, 654, 381, 148, 269, 874, 414, 774, 695, 852, 725, 590, 255, 56, 294, 550, 261, 334, 524, 105, 520, 679, 431, 35, 233, 234, 751, 38, 716, 684, 477, 298, 206, 722, 618, 615, 789, 800, 390, 757, 267, 13, 286, 308, 28, 671, 770, 624, 526, 816, 329, 574, 134, 417, 842, 218, 108, 377, 8, 187, 254, 410, 367, 220, 211, 174, 864, 397, 26, 880, 139, 882, 159, 273, 585, 502, 76, 442, 371, 793, 365, 501, 54, 323, 568, 784, 440, 384, 428, 241, 359, 222, 352, 372, 342, 319, 727, 99, 216, 388, 454, 826, 779, 475, 797, 194, 430, 250, 172, 276, 289, 198, 685, 339, 478, 215, 439, 664, 180, 272, 474, 781, 587, 631, 173, 75, 875, 885, 486, 85, 488, 847, 853, 839, 302, 689, 635, 257, 242, 189, 545, 846, 558, 677, 356, 472, 251, 357, 209, 321, 602, 253, 529, 52, 203, 131, 256, 560, 907, 652, 614, 226, 271, 656, 717, 518, 283, 376, 562, 81, 481, 769, 391, 510, 651, 729, 175, 45, 813, 639, 445, 748, 737, 279, 619, 236, 612, 785, 227, 841, 593, 467, 34, 740, 670, 95, 505, 820, 570, 804, 648, 766, 354, 555, 212, 162, 62, 540, 213, 690, 567, 188, 18, 415, 867, 739, 786, 171, 613, 577, 92, 83, 714, 328, 584, 844, 601, 778, 446, 264, 569, 311, 476, 655, 780, 721, 484, 383, 143, 240, 678, 589, 326, 658, 609, 96, 904, 451, 903, 421, 806, 103, 468, 51, 225, 621, 643, 94, 760, 646, 380, 262, 659, 783, 434, 73, 437, 165, 559, 322, 536, 849, 900, 818, 169, 734, 823, 636, 453, 642, 735, 610, 551, 457, 316, 863, 127, 146, 193, 528, 696, 335, 691, 331, 425, 728, 622, 616, 91, 676, 114, 116, 634, 645, 231, 145, 859, 608, 387, 47, 485, 192, 304, 759, 382, 324, 460, 845, 747, 249, 23, 301, 70, 795, 176, 310, 798, 111, 746, 708, 719, 93, 741, 693, 235, 78, 144, 25, 435, 395, 543, 33, 295, 633, 274, 306, 307, 405, 469, 755, 709, 40, 523, 338, 177, 292, 132, 55, 64, 219, 370, 617, 157, 79, 87, 877, 899, 423, 252, 6, 511, 369, 351, 776, 628, 398, 599, 418, 68, 638, 810, 553, 293, 248, 106, 855, 196, 67, 104, 299, 238, 660, 521, 65, 229, 58, 854, 4, 850, 541, 750, 136, 771, 400, 772, 57, 834, 109, 764, 348, 210, 366, 866, 178, 333, 706, 181, 281, 5, 41, 905, 214, 315, 458, 768, 597, 831, 197, 433, 715, 641, 207, 337, 98, 221, 765, 138, 29, 27, 683, 790, 491, 732, 665, 547, 349, 336, 363, 243, 869, 548, 128, 687, 155, 109, 597, 794, 820, 524, 830, 34, 253, 82, 251, 826, 324, 543, 240, 719, 458, 346, 648, 337, 850, 531, 535, 651, 378, 168, 894, 158, 31, 103, 370, 864, 396, 644, 865, 139, 782, 50, 244, 381, 663, 128, 48, 175, 130, 628, 304, 305, 602, 491, 898, 767, 21, 664, 62, 592, 821, 762, 390, 416, 534, 66, 359, 429, 441, 290, 3, 414, 56, 418, 711, 371, 219, 654, 226, 41, 101, 292, 287, 303, 561, 340, 363, 51, 626, 478, 559, 132, 212, 248, 608, 803, 800, 330, 280, 694, 660, 315, 655, 294, 752, 389, 854, 774, 452, 376, 892, 757, 775, 281, 475, 255, 802, 451, 691, 410, 616, 729, 579, 723, 252, 373, 453, 0, 148, 879, 369, 732, 673, 540, 136, 299, 91, 111, 557, 229, 285, 611, 841, 300, 490, 222, 322, 515, 364, 12, 230, 123, 105, 811, 19, 436, 572, 501, 206, 286, 318, 693, 162, 612, 669, 541, 134, 791, 806, 185, 284, 264, 883, 205, 209, 189, 319, 349, 438, 859, 404, 488, 728, 262, 311, 76, 210, 662, 65, 485, 100, 710, 578, 725, 215, 450, 630, 674, 119, 583, 878, 882, 465, 13, 135, 234, 486, 446, 816, 862, 897, 771, 849, 88, 15, 810, 448, 236, 192, 646, 780, 347, 218, 47, 350, 43, 271, 166, 633, 689, 895, 658, 276, 843, 503, 519, 845, 89, 613, 430, 153, 650, 120, 225, 899, 482, 505, 629, 467, 121, 848, 642, 296, 194, 447, 495, 815, 18, 247, 159, 881, 492, 596, 16, 641, 250, 126, 900, 875, 423, 671, 72, 637, 472, 402, 858, 618, 722, 94, 469, 427, 344, 164, 665, 406, 789, 202, 639, 360, 131, 563, 489, 444, 756, 474, 422, 745, 797, 533, 496, 331, 704, 338, 552, 355, 726, 388, 678, 553, 71, 721, 636, 397, 462, 544, 506, 282, 549, 500, 776, 227, 657, 54, 753, 647, 677, 888, 40, 118, 326, 374, 36, 750, 863, 513, 498, 220, 104, 831, 468, 675, 621, 24, 731, 8, 857, 317, 656, 718, 382, 822, 548, 44, 494, 257, 419, 231, 45, 466, 74, 701, 737, 667, 150, 313, 587, 545, 643, 57, 456, 98, 874, 755, 172, 586, 68, 443, 274, 504, 79, 273, 603, 341, 308, 880, 706, 542, 510, 768, 907, 502, 200, 530, 824, 379, 415, 306, 595, 395, 836, 817, 52, 93, 204, 461, 99, 834, 600, 217, 214, 570, 431, 683, 107, 571, 870, 435, 49, 259, 852, 713, 146, 749, 321, 798, 851, 708, 764, 375, 483, 720, 477, 289, 211, 703, 564, 796, 266, 332, 607, 565, 421, 17, 885, 307, 27, 697, 243, 522, 216, 555, 75, 837, 808, 901, 833, 690, 278, 432, 575, 267, 582, 736, 279, 73, 277, 649, 464, 705, 302, 7, 178, 634, 195, 840, 772, 199, 679, 698, 839, 770, 523, 339, 777, 125, 554, 142, 835, 328, 312, 761, 518, 161, 905, 221, 198, 180, 793, 812, 481, 154, 594, 1, 428, 872, 58, 59, 314, 739, 818, 526, 387, 413, 92, 497, 825, 127, 356, 457, 437, 743, 30, 283, 866, 556, 539, 147, 144, 766, 823, 614, 235, 514, 591, 601, 403, 512, 87, 433, 735, 420, 188, 902, 805, 695, 26, 138, 809, 333, 716, 521, 891, 801, 392, 174, 661, 744, 890, 499, 114, 140, 254, 460, 20, 598, 385, 170, 795, 207, 536, 842, 176, 275, 807, 829, 394, 884, 223, 265, 712, 537, 672, 186, 788, 773, 562, 156, 659, 877, 187, 606, 470, 439, 122, 424, 336, 167, 246, 213, 588, 631, 335, 97, 297, 696, 163, 63, 301, 717, 190, 733, 487, 412, 855, 551, 573, 889, 11, 493, 869, 14, 239, 348, 709, 473, 184, 191, 224, 228, 408, 590, 362, 425, 742, 838, 779, 566, 25, 847, 781, 463, 380, 102, 409, 124, 896, 141, 263, 368, 358, 751, 145, 846, 143, 272, 714, 117, 581, 295, 60, 871, 84, 558, 685, 291, 232, 748, 792, 682, 527, 401, 684, 357, 476, 70, 183, 886, 567, 676, 640, 110, 10, 201, 270, 758, 622, 484, 208, 157, 699, 724, 604, 760, 32, 738, 623, 799, 813, 832, 605, 609, 740, 666, 329, 511, 747, 334, 904, 508, 434, 538, 137, 814, 480, 165, 707, 83, 245, 67, 668, 372, 400, 196, 86, 645, 471, 42, 405, 237, 615, 784, 173, 179, 39, 681, 398, 516, 197, 560, 765, 90, 169, 29, 96, 853, 906, 769, 827, 550, 868, 342, 4, 64, 181, 38, 589, 479, 617, 85, 112, 353, 692, 610, 635, 249, 763, 391, 867, 585, 399, 81, 261, 786, 35, 323, 528, 343, 440, 22, 759, 108, 258, 574, 778, 455, 529, 903, 182, 241, 727, 787, 638, 525, 632, 893, 345, 37, 411, 325, 577, 442, 366, 746, 584, 532, 151, 133, 78, 593, 55, 670, 6, 256, 33, 193, 730, 361, 783, 624, 625, 116, 351, 203, 23, 509, 129, 861, 653, 77, 233, 790, 828, 507, 160, 260, 393, 785, 876, 316, 171, 269, 449, 844, 754, 367, 288, 687, 95, 149, 856, 454, 238, 546, 688, 569, 365, 242, 517, 652, 9, 293, 417, 680, 459, 426, 445, 46, 268, 887, 352, 69, 804, 28, 61, 383, 580, 741, 2, 619, 106, 177, 702, 819, 80, 576, 377, 715, 384, 320, 873, 599, 113, 386, 310, 620, 53, 547, 152, 686, 568, 115, 860, 700, 5, 309, 734, 354, 407, 520, 298, 327, 627}

    Returns: {0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0 }

  35. 988

    {407, 572, 1, 573, 545, 493, 732, 122, 226, 351, 516, 365, 145, 8, 700, 958, 636, 635, 181, 311, 896, 559, 509, 167, 814, 933, 23, 46, 95, 782, 757, 305, 950, 347, 243, 433, 561, 247, 534, 212, 815, 760, 430, 719, 402, 268, 287, 368, 563, 246, 544, 820, 568, 885, 270, 682, 239, 97, 907, 796, 225, 51, 30, 144, 876, 505, 578, 497, 44, 839, 926, 496, 893, 608, 277, 840, 174, 908, 854, 536, 816, 331, 959, 222, 9, 160, 540, 738, 418, 498, 486, 575, 132, 7, 940, 751, 319, 50, 3, 386, 776, 221, 161, 345, 625, 626, 133, 64, 455, 632, 146, 515, 913, 494, 312, 718, 567, 569, 938, 15, 901, 669, 260, 240, 327, 6, 358, 140, 696, 750, 271, 464, 881, 822, 664, 533, 752, 603, 404, 194, 795, 453, 471, 450, 215, 259, 201, 966, 853, 755, 676, 131, 191, 437, 273, 780, 22, 821, 435, 484, 92, 930, 314, 690, 779, 584, 799, 600, 209, 235, 895, 411, 198, 634, 371, 810, 914, 706, 348, 399, 229, 175, 462, 747, 328, 96, 346, 577, 31, 741, 964, 470, 374, 716, 803, 332, 19, 900, 576, 713, 200, 661, 477, 942, 14, 426, 724, 965, 758, 859, 439, 571, 204, 431, 126, 303, 168, 671, 452, 735, 832, 595, 357, 297, 592, 307, 935, 467, 794, 380, 373, 83, 436, 651, 440, 659, 920, 109, 138, 74, 101, 16, 922, 808, 878, 775, 148, 981, 58, 49, 866, 63, 337, 71, 28, 178, 691, 473, 768, 615, 931, 29, 241, 336, 0, 936, 251, 847, 208, 387, 884, 894, 313, 490, 962, 134, 236, 169, 566, 546, 685, 283, 593, 37, 99, 193, 902, 412, 818, 787, 279, 369, 80, 684, 476, 562, 59, 5, 945, 886, 784, 785, 141, 79, 580, 343, 166, 47, 499, 173, 980, 687, 557, 217, 986, 984, 729, 334, 445, 804, 921, 582, 143, 851, 919, 21, 849, 833, 62, 912, 76, 252, 56, 323, 207, 442, 969, 352, 262, 906, 364, 675, 873, 417, 179, 518, 944, 789, 189, 699, 459, 468, 596, 127, 428, 292, 36, 519, 317, 899, 788, 721, 916, 979, 725, 792, 905, 454, 827, 556, 42, 206, 429, 100, 344, 828, 552, 11, 579, 330, 861, 183, 342, 25, 341, 70, 164, 858, 670, 308, 668, 66, 396, 892, 18, 192, 158, 753, 880, 604, 650, 594, 353, 457, 541, 663, 535, 570, 367, 361, 643, 553, 793, 976, 524, 349, 599, 523, 520, 172, 662, 135, 421, 865, 41, 393, 447, 355, 781, 124, 88, 704, 511, 415, 383, 759, 443, 150, 385, 389, 616, 250, 877, 196, 772, 778, 686, 737, 410, 857, 68, 463, 91, 543, 291, 155, 918, 736, 606, 939, 478, 622, 434, 530, 177, 771, 609, 195, 624, 834, 186, 263, 53, 89, 329, 872, 363, 506, 105, 57, 10, 390, 627, 460, 648, 695, 521, 748, 420, 743, 683, 630, 923, 298, 397, 467, 559, 357, 614, 86, 928, 513, 214, 49, 479, 983, 302, 692, 320, 74, 844, 800, 494, 689, 763, 176, 589, 340, 13, 979, 798, 0, 449, 677, 706, 280, 451, 83, 743, 471, 735, 849, 92, 806, 265, 794, 139, 153, 933, 488, 370, 823, 330, 954, 227, 344, 824, 955, 831, 568, 80, 465, 129, 765, 967, 85, 694, 626, 723, 834, 817, 698, 401, 909, 444, 980, 215, 59, 446, 84, 437, 490, 454, 116, 350, 835, 554, 324, 925, 688, 898, 189, 525, 347, 472, 787, 321, 118, 256, 41, 678, 601, 770, 115, 263, 111, 500, 746, 709, 605, 459, 413, 833, 665, 392, 273, 234, 977, 811, 252, 773, 505, 70, 268, 389, 864, 469, 901, 604, 724, 147, 747, 683, 117, 346, 360, 961, 75, 885, 305, 450, 105, 939, 910, 476, 253, 830, 558, 144, 826, 859, 518, 661, 663, 635, 580, 634, 764, 608, 438, 931, 508, 66, 264, 597, 421, 47, 318, 161, 781, 463, 257, 132, 337, 599, 803, 810, 662, 783, 641, 194, 148, 270, 319, 381, 627, 141, 493, 660, 372, 375, 878, 717, 219, 453, 207, 138, 456, 715, 278, 311, 289, 581, 671, 206, 145, 230, 739, 616, 379, 543, 915, 827, 416, 462, 103, 838, 748, 647, 288, 588, 483, 26, 435, 841, 184, 309, 948, 89, 687, 522, 374, 2, 71, 300, 249, 978, 269, 547, 876, 769, 442, 900, 470, 335, 673, 162, 785, 884, 197, 177, 974, 732, 342, 498, 152, 276, 171, 899, 667, 651, 868, 578, 106, 888, 719, 695, 592, 571, 710, 945, 55, 796, 382, 384, 424, 774, 259, 825, 970, 511, 310, 100, 937, 220, 124, 123, 517, 69, 298, 358, 754, 946, 707, 242, 96, 523, 68, 914, 805, 797, 569, 893, 182, 784, 448, 971, 478, 238, 291, 223, 905, 633, 323, 224, 506, 62, 935, 612, 258, 410, 753, 540, 666, 590, 975, 762, 646, 402, 325, 854, 140, 959, 871, 832, 560, 623, 178, 212, 927, 426, 607, 672, 284, 544, 164, 869, 657, 860, 602, 952, 22, 6, 548, 461, 520, 142, 840, 67, 199, 749, 562, 221, 334, 191, 649, 740, 301, 485, 742, 913, 27, 675, 88, 213, 851, 872, 50, 624, 17, 166, 503, 420, 514, 34, 222, 879, 10, 173, 458, 156, 575, 703, 154, 760, 593, 968, 814, 486, 845, 304, 788, 721, 533, 550, 594, 499, 919, 408, 248, 480, 445, 29, 708, 244, 877, 343, 113, 532, 72, 487, 716, 501, 271, 196, 654, 250, 563, 48, 976, 30, 515, 428, 887, 255, 193, 275, 409, 167, 791, 962, 629, 521, 359, 326, 502, 858, 53, 775, 203, 756, 725, 669, 277, 940, 777, 730, 693, 229, 957, 950, 4, 333, 870, 90, 170, 299, 917, 190, 64, 856, 8, 617, 985, 209, 771, 24, 174, 926, 930, 534, 736, 443, 95, 329, 655, 718, 622, 495, 455, 466, 112, 577, 984, 813, 183, 287, 668, 733, 702, 963, 761, 969, 837, 63, 632, 281, 254, 676, 155, 982, 621, 561, 690, 510, 283, 261, 613, 351, 908, 973, 73, 57, 966, 867, 686, 1, 786, 637, 104, 792, 809, 354, 492, 353, 407, 481, 322, 584, 122, 643, 700, 394, 897, 240, 422, 441, 524, 591, 15, 603, 386, 801, 457, 98, 160, 839, 348, 149, 712, 556, 7, 618, 425, 107, 65, 204, 567, 331, 260, 390, 659, 843, 431, 412, 363, 365, 535, 208, 241, 157, 202, 582, 28, 135, 636, 583, 185, 741, 598, 934, 399, 432, 267, 39, 850, 640, 564, 101, 369, 327, 873, 76, 217, 611, 820, 126, 82, 130, 415, 949, 875, 750, 964, 829, 391, 684, 120, 482, 473, 704, 772, 19, 551, 356, 20, 528, 846, 237, 883, 187, 377, 345, 282, 681, 205, 541, 137, 546, 941, 921, 552, 266, 720, 317, 821, 91, 477, 866, 981, 799, 51, 405, 539, 233, 767, 744, 638, 313, 625, 285, 650, 398, 606, 290, 315, 151, 175, 296, 316, 339, 12, 890, 226, 361, 211, 652, 108, 507, 497, 93, 644, 489, 782, 262, 790, 938, 460, 936, 958, 653, 23, 121, 303, 530, 134, 97, 328, 731, 529, 609, 585, 44, 43, 836, 378, 419, 434, 60, 109, 894, 918, 853, 942, 705, 861, 475, 639, 200, 696, 865, 429, 807, 727, 906, 670, 722, 882, 393, 168, 713, 892, 192, 474, 218, 737, 32, 863, 570, 87, 691, 537, 169, 158, 484, 423, 538, 235, 94, 418, 828, 440, 439, 306, 572, 932, 239, 904, 81, 247, 586, 341, 78, 549, 847, 294, 102, 279, 758, 131, 664, 896, 77, 642, 504, 947, 119, 645, 596, 842, 685, 404, 631, 352, 862, 822, 414, 766, 509, 889, 198, 447, 531, 726, 127, 99, 172, 272, 180, 852, 886, 855, 307, 366, 46, 565, 816, 587, 231, 944, 136, 527, 286, 553, 891, 376, 808, 5, 880, 403, 433, 566, 738, 38, 699, 779, 133, 225, 818, 516, 251, 33, 417, 274, 922, 58, 114, 658, 228, 232, 452, 545, 711, 128, 21, 210, 388, 573, 701, 143, 536, 804, 383, 802, 165, 371, 595, 430, 815, 25, 848, 579, 9, 37, 557, 400, 491, 179, 396, 427, 406, 752, 332, 42, 295, 159, 960, 297, 697, 972, 610, 368, 780, 956, 819, 201, 31, 903, 648, 246, 674, 920, 16, 18, 3, 620, 186, 923, 349, 916, 496, 965, 951, 464, 555, 778, 45, 600, 776, 468, 385, 79, 367, 36, 245, 728, 987, 857, 542, 146, 373, 61, 745, 355, 757, 195, 734, 188, 35, 512, 181, 336, 150, 576, 881, 125, 907, 912, 793, 679, 630, 52, 795, 680, 526, 292, 714, 293, 751, 54, 986, 40, 312, 110, 362, 243, 236, 314, 56, 11, 436, 14, 953, 682, 929, 656, 943, 874, 924, 729, 902, 628, 519, 619, 574, 380, 216, 387, 812, 411, 911, 759, 615, 395, 789, 895, 768, 308, 755, 338, 364, 163}

    {649, 838, 52, 118, 705, 432, 487, 607, 640, 982, 128, 526, 948, 932, 539, 710, 514, 188, 482, 465, 665, 537, 67, 639, 680, 375, 281, 301, 4, 722, 862, 397, 163, 350, 888, 379, 813, 227, 474, 597, 214, 444, 903, 408, 376, 282, 924, 480, 335, 971, 987, 388, 698, 156, 39, 845, 798, 370, 293, 87, 658, 218, 879, 116, 513, 384, 825, 767, 199, 549, 712, 762, 413, 38, 739, 394, 276, 72, 633, 783, 860, 237, 43, 529, 403, 823, 618, 257, 628, 60, 745, 917, 909, 790, 967, 949, 841, 975, 238, 947, 693, 891, 715, 786, 911, 157, 449, 613, 644, 405, 777, 230, 13, 623, 673, 974, 802, 871, 731, 20, 170, 730, 224, 234, 805, 176, 274, 438, 591, 310, 817, 532, 538, 581, 289, 694, 69, 65, 340, 586, 734, 614, 547, 326, 836, 35, 968, 152, 264, 558, 159, 512, 409, 830, 458, 272, 674, 551, 955, 727, 299, 831, 119, 102, 826, 483, 190, 73, 749, 205, 765, 82, 875, 852, 290, 86, 151, 764, 491, 395, 500, 733, 121, 837, 406, 392, 17, 213, 366, 863, 740, 485, 488, 456, 941, 956, 574, 522, 187, 185, 94, 620, 617, 280, 985, 542, 55, 419, 508, 646, 528, 244, 678, 589, 915, 103, 286, 850, 107, 492, 647, 481, 479, 756, 864, 117, 171, 321, 401, 717, 689, 637, 638, 258, 93, 769, 555, 501, 645, 564, 702, 182, 154, 761, 108, 565, 54, 642, 503, 960, 489, 554, 302, 137, 27, 232, 654, 211, 746, 45, 697, 848, 855, 228, 202, 925, 807, 819, 466, 708, 972, 84, 728, 656, 811, 12, 510, 304, 261, 961, 978, 507, 249, 231, 425, 339, 619, 284, 868, 110, 197, 703, 770, 910, 333, 322, 114, 611, 147, 295, 210, 320, 723, 98, 842, 560, 801, 233, 590, 937, 869, 255, 726, 666, 400, 621, 306, 681, 742, 398, 897, 423, 889, 377, 943, 631, 641, 809, 427, 220, 216, 679, 294, 223, 285, 469, 461, 653, 242, 153, 504, 531, 113, 106, 77, 874, 391, 598, 856, 720, 372, 248, 318, 325, 667, 525, 309, 424, 300, 256, 707, 359, 953, 378, 887, 32, 517, 934, 829, 85, 381, 275, 115, 970, 610, 2, 48, 660, 601, 296, 973, 472, 588, 502, 806, 977, 104, 269, 843, 766, 416, 709, 120, 867, 657, 928, 605, 24, 587, 763, 800, 773, 983, 162, 475, 701, 422, 548, 672, 245, 688, 149, 846, 382, 315, 324, 904, 711, 655, 652, 203, 61, 692, 744, 882, 602, 451, 495, 360, 583, 441, 142, 883, 90, 791, 929, 797, 927, 446, 111, 844, 835, 165, 253, 130, 952, 184, 448, 75, 951, 40, 362, 954, 219, 266, 527, 890, 957, 870, 354, 136, 316, 78, 946, 129, 612, 112, 754, 629, 898, 139, 288, 812, 550, 278, 254, 33, 180, 356, 963, 824, 123, 34, 26, 774, 677, 265, 338, 125, 714, 267, 81, 414, 585, 467, 559, 357, 614, 86, 928, 513, 214, 49, 479, 983, 302, 692, 320, 74, 844, 800, 494, 689, 763, 176, 589, 340, 13, 979, 798, 0, 449, 677, 706, 280, 451, 83, 743, 471, 735, 849, 92, 806, 265, 794, 139, 153, 933, 488, 370, 823, 330, 954, 227, 344, 824, 955, 831, 568, 80, 465, 129, 765, 967, 85, 694, 626, 723, 834, 817, 698, 401, 909, 444, 980, 215, 59, 446, 84, 437, 490, 454, 116, 350, 835, 554, 324, 925, 688, 898, 189, 525, 347, 472, 787, 321, 118, 256, 41, 678, 601, 770, 115, 263, 111, 500, 746, 709, 605, 459, 413, 833, 665, 392, 273, 234, 977, 811, 252, 773, 505, 70, 268, 389, 864, 469, 901, 604, 724, 147, 747, 683, 117, 346, 360, 961, 75, 885, 305, 450, 105, 939, 910, 476, 253, 830, 558, 144, 826, 859, 518, 661, 663, 635, 580, 634, 764, 608, 438, 931, 508, 66, 264, 597, 421, 47, 318, 161, 781, 463, 257, 132, 337, 599, 803, 810, 662, 783, 641, 194, 148, 270, 319, 381, 627, 141, 493, 660, 372, 375, 878, 717, 219, 453, 207, 138, 456, 715, 278, 311, 289, 581, 671, 206, 145, 230, 739, 616, 379, 543, 915, 827, 416, 462, 103, 838, 748, 647, 288, 588, 483, 26, 435, 841, 184, 309, 948, 89, 687, 522, 374, 2, 71, 300, 249, 978, 269, 547, 876, 769, 442, 900, 470, 335, 673, 162, 785, 884, 197, 177, 974, 732, 342, 498, 152, 276, 171, 899, 667, 651, 868, 578, 106, 888, 719, 695, 592, 571, 710, 945, 55, 796, 382, 384, 424, 774, 259, 825, 970, 511, 310, 100, 937, 220, 124, 123, 517, 69, 298, 358, 754, 946, 707, 242, 96, 523, 68, 914, 805, 797, 569, 893, 182, 784, 448, 971, 478, 238, 291, 223, 905, 633, 323, 224, 506, 62, 935, 612, 258, 410, 753, 540, 666, 590, 975, 762, 646, 402, 325, 854, 140, 959, 871, 832, 560, 623, 178, 212, 927, 426, 607, 672, 284, 544, 164, 869, 657, 860, 602, 952, 22, 6, 548, 461, 520, 142, 840, 67, 199, 749, 562, 221, 334, 191, 649, 740, 301, 485, 742, 913, 27, 675, 88, 213, 851, 872, 50, 624, 17, 166, 503, 420, 514, 34, 222, 879, 10, 173, 458, 156, 575, 703, 154, 760, 593, 968, 814, 486, 845, 304, 788, 721, 533, 550, 594, 499, 919, 408, 248, 480, 445, 29, 708, 244, 877, 343, 113, 532, 72, 487, 716, 501, 271, 196, 654, 250, 563, 48, 976, 30, 515, 428, 887, 255, 193, 275, 409, 167, 791, 962, 629, 521, 359, 326, 502, 858, 53, 775, 203, 756, 725, 669, 277, 940, 777, 730, 693, 229, 957, 950, 4, 333, 870, 90, 170, 299, 917, 190, 64, 856, 8, 617, 985, 209, 771, 24, 174, 926, 930, 534, 736, 443, 95, 329, 655, 718, 622, 495, 455, 466, 112, 577, 984, 813, 183, 287, 668, 733, 702, 963, 761, 969, 837, 63, 632, 281, 254, 676, 155, 982, 621, 561, 690, 510, 283, 261, 613, 351, 908, 973, 73, 57, 966, 867, 686, 1, 786, 637, 104, 792, 809, 354, 492, 353, 407, 481, 322, 584, 122, 643, 700, 394, 897, 240, 422, 441, 524, 591, 15, 603, 386, 801, 457, 98, 160, 839, 348, 149, 712, 556, 7, 618, 425, 107, 65, 204, 567, 331, 260, 390, 659, 843, 431, 412, 363, 365, 535, 208, 241, 157, 202, 582, 28, 135, 636, 583, 185, 741, 598, 934, 399, 432, 267, 39, 850, 640, 564, 101, 369, 327, 873, 76, 217, 611, 820, 126, 82, 130, 415, 949, 875, 750, 964, 829, 391, 684, 120, 482, 473, 704, 772, 19, 551, 356, 20, 528, 846, 237, 883, 187, 377, 345, 282, 681, 205, 541, 137, 546, 941, 921, 552, 266, 720, 317, 821, 91, 477, 866, 981, 799, 51, 405, 539, 233, 767, 744, 638, 313, 625, 285, 650, 398, 606, 290, 315, 151, 175, 296, 316, 339, 12, 890, 226, 361, 211, 652, 108, 507, 497, 93, 644, 489, 782, 262, 790, 938, 460, 936, 958, 653, 23, 121, 303, 530, 134, 97, 328, 731, 529, 609, 585, 44, 43, 836, 378, 419, 434, 60, 109, 894, 918, 853, 942, 705, 861, 475, 639, 200, 696, 865, 429, 807, 727, 906, 670, 722, 882, 393, 168, 713, 892, 192, 474, 218, 737, 32, 863, 570, 87, 691, 537, 169, 158, 484, 423, 538, 235, 94, 418, 828, 440, 439, 306, 572, 932, 239, 904, 81, 247, 586, 341, 78, 549, 847, 294, 102, 279, 758, 131, 664, 896, 77, 642, 504, 947, 119, 645, 596, 842, 685, 404, 631, 352, 862, 822, 414, 766, 509, 889, 198, 447, 531, 726, 127, 99, 172, 272, 180, 852, 886, 855, 307, 366, 46, 565, 816, 587, 231, 944, 136, 527, 286, 553, 891, 376, 808, 5, 880, 403, 433, 566, 738, 38, 699, 779, 133, 225, 818, 516, 251, 33, 417, 274, 922, 58, 114, 658, 228, 232, 452, 545, 711, 128, 21, 210, 388, 573, 701, 143, 536, 804, 383, 802, 165, 371, 595, 430, 815, 25, 848, 579, 9, 37, 557, 400, 491, 179, 396, 427, 406, 752, 332, 42, 295, 159, 960, 297, 697, 972, 610, 368, 780, 956, 819, 201, 31, 903, 648, 246, 674, 920, 16, 18, 3, 620, 186, 923, 349, 916, 496, 965, 951, 464, 555, 778, 45, 600, 776, 468, 385, 79, 367, 36, 245, 728, 987, 857, 542, 146, 373, 61, 745, 355, 757, 195, 734, 188, 35, 512, 181, 336, 150, 576, 881, 125, 907, 912, 793, 679, 630, 52, 795, 680, 526, 292, 714, 293, 751, 54, 986, 40, 312, 110, 362, 243, 236, 314, 56, 11, 436, 14, 953, 682, 929, 656, 943, 874, 924, 729, 902, 628, 519, 619, 574, 380, 216, 387, 812, 411, 911, 759, 615, 395, 789, 895, 768, 308, 755, 338, 364, 163, 397}

    Returns: {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1 }

  36. 844

    {525, 128, 213, 804, 354, 827, 696, 142, 388, 340, 215, 403, 149, 293, 238, 251, 230, 7, 247, 104, 182, 377, 738, 500, 728, 273, 287, 155, 729, 459, 656, 78, 762, 49, 333, 355, 148, 602, 811, 676, 216, 168, 511, 292, 232, 13, 650, 686, 308, 367, 669, 600, 387, 352, 598, 689, 245, 766, 139, 121, 411, 432, 818, 581, 571, 156, 399, 406, 621, 787, 297, 267, 227, 831, 680, 6, 426, 284, 74, 558, 808, 364, 466, 648, 37, 531, 551, 33, 658, 191, 684, 767, 193, 776, 237, 256, 281, 279, 145, 169, 86, 270, 774, 223, 160, 324, 661, 784, 305, 757, 390, 165, 342, 176, 357, 70, 629, 798, 499, 613, 806, 391, 438, 32, 747, 802, 137, 841, 822, 722, 52, 570, 349, 805, 486, 162, 780, 335, 412, 773, 433, 534, 257, 315, 221, 217, 73, 546, 541, 683, 379, 16, 363, 416, 275, 695, 758, 528, 644, 346, 526, 347, 781, 469, 109, 770, 1, 385, 170, 206, 167, 2, 457, 42, 372, 351, 507, 716, 591, 341, 839, 395, 81, 750, 150, 303, 610, 187, 31, 147, 118, 107, 212, 313, 436, 654, 101, 664, 26, 479, 615, 99, 638, 478, 782, 180, 618, 254, 207, 225, 383, 171, 394, 605, 791, 789, 236, 706, 117, 749, 299, 80, 310, 513, 307, 821, 132, 240, 694, 345, 573, 540, 724, 404, 161, 809, 226, 472, 547, 0, 179, 98, 11, 580, 110, 258, 543, 668, 146, 692, 508, 768, 125, 15, 262, 646, 824, 348, 4, 75, 797, 734, 84, 803, 576, 483, 688, 239, 601, 730, 88, 260, 159, 711, 129, 343, 329, 537, 636, 280, 199, 407, 242, 133, 746, 840, 473, 190, 189, 835, 509, 430, 626, 779, 184, 810, 717, 584, 442, 542, 375, 244, 328, 222, 195, 83, 105, 361, 630, 720, 737, 703, 198, 634, 700, 485, 567, 188, 743, 224, 54, 295, 48, 589, 468, 753, 502, 759, 785, 316, 365, 614, 27, 163, 834, 514, 371, 523, 653, 458, 635, 561, 660, 552, 415, 39, 373, 624, 35, 338, 134, 752, 833, 353, 265, 283, 197, 419, 826, 639, 588, 517, 282, 429, 366, 233, 339, 9, 599, 585, 85, 370, 87, 210, 484, 126, 448, 527, 228, 154, 590, 467, 120, 482, 829, 742, 322, 652, 255, 97, 777, 455, 815, 751, 378, 14, 24, 325, 488, 446, 492, 518, 332, 289, 532, 144, 799, 3, 739, 96, 705, 327, 249, 380, 214, 679, 122, 687, 445, 564, 55, 67, 183, 618, 387, 709, 353, 475, 407, 753, 189, 646, 142, 785, 707, 112, 512, 494, 619, 409, 831, 168, 488, 398, 280, 132, 403, 735, 247, 71, 401, 783, 28, 534, 596, 806, 693, 269, 134, 622, 835, 100, 579, 592, 339, 285, 278, 295, 294, 794, 776, 277, 454, 234, 15, 795, 705, 613, 235, 143, 500, 197, 782, 538, 217, 307, 125, 177, 96, 690, 393, 477, 657, 140, 804, 662, 708, 447, 626, 413, 674, 41, 649, 511, 218, 406, 109, 101, 60, 612, 248, 656, 97, 64, 576, 772, 265, 825, 428, 23, 76, 86, 74, 562, 195, 826, 253, 192, 630, 42, 182, 681, 802, 107, 4, 788, 149, 436, 77, 394, 738, 12, 127, 842, 591, 736, 257, 530, 249, 361, 304, 791, 558, 589, 608, 379, 415, 342, 827, 414, 113, 563, 216, 432, 34, 391, 293, 355, 402, 312, 380, 634, 184, 427, 29, 208, 675, 797, 175, 546, 486, 337, 352, 173, 517, 83, 62, 633, 606, 822, 126, 232, 586, 350, 790, 560, 320, 364, 416, 497, 758, 181, 24, 531, 321, 152, 405, 701, 367, 385, 734, 444, 448, 764, 745, 65, 439, 580, 141, 610, 457, 372, 482, 779, 602, 244, 565, 807, 306, 166, 774, 318, 624, 169, 593, 147, 491, 805, 545, 604, 628, 715, 38, 483, 687, 698, 335, 730, 215, 137, 105, 365, 636, 356, 10, 188, 571, 442, 284, 165, 301, 214, 539, 139, 566, 446, 338, 201, 133, 2, 225, 84, 839, 463, 371, 271, 710, 611, 808, 314, 513, 661, 658, 809, 17, 411, 549, 273, 279, 441, 621, 507, 525, 547, 559, 542, 841, 503, 131, 703, 431, 45, 740, 32, 111, 334, 198, 678, 504, 213, 426, 833, 629, 493, 395, 30, 751, 643, 68, 615, 3, 519, 98, 712, 469, 114, 739, 472, 603, 461, 550, 26, 302, 410, 599, 741, 351, 316, 671, 476, 360, 419, 468, 729, 345, 103, 829, 823, 664, 19, 22, 164, 617, 243, 732, 685, 238, 627, 467, 473, 762, 61, 21, 286, 90, 663, 18, 702, 298, 778, 378, 146, 108, 99, 812, 150, 713, 440, 368, 700, 180, 516, 819, 670, 310, 479, 585, 230, 386, 323, 761, 769, 449, 422, 605, 521, 40, 450, 676, 56, 392, 650, 434, 423, 757, 799, 489, 668, 828, 327, 224, 206, 600, 595, 748, 508, 194, 830, 480, 551, 755, 724, 381, 404, 233, 588, 689, 451, 348, 680, 768, 373, 94, 186, 727, 408, 648, 79, 460, 37, 196, 800, 31, 623, 266, 260, 167, 660, 297, 162, 814, 818, 296, 110, 317, 535, 501, 363, 325, 424, 292, 548, 754, 54, 528, 151, 747, 462, 331, 682, 817, 786, 229, 357, 81, 354, 332, 341, 160, 340, 723, 699, 179, 0, 70, 568, 584, 138, 793, 810, 570, 821, 492, 456, 290, 330, 470, 203, 319, 163, 498, 67, 752, 684, 264, 315, 27, 313, 787, 840, 282, 520, 515, 205, 291, 78, 300, 119, 72, 136, 686, 459, 374, 756, 158, 116, 452, 344, 557, 466, 679, 429, 200, 750, 614, 35, 696, 677, 725, 275, 518, 443, 7, 573, 815, 775, 57, 254, 88, 211, 50, 370, 135, 714, 478, 490, 397, 737, 742, 561, 349, 642, 289, 582, 711, 777, 691, 95, 47, 544, 792, 8, 437, 283, 375, 637, 834, 770, 259, 276, 659, 721, 362, 569, 246, 514, 121, 731, 185, 36, 771, 154, 46, 465, 219, 129, 148, 766, 118, 607, 532, 274, 322, 609, 159, 172, 813, 556, 231, 666, 144, 438, 16, 763, 555, 44, 281, 245, 796, 496, 346, 575, 11, 765, 616, 178, 798, 382, 837, 66, 417, 5, 803, 122, 564, 445, 267, 193, 784, 726, 250, 695, 672, 706, 692, 13, 669, 683, 733, 49, 240, 270, 640, 123, 506, 58, 665, 780, 509, 647, 223, 641, 620, 324, 262, 256, 347, 55, 52, 759, 87, 598, 258, 728, 145, 336, 654, 597, 567, 308, 824, 749, 744, 263, 694, 207, 383, 6, 366, 652, 128, 430, 651, 645, 421, 59, 632, 237, 455, 1, 359, 124, 288, 156, 343, 644, 161, 43, 190, 572, 484, 115, 435, 746, 221, 85, 631, 811, 75, 89, 594, 718, 63, 187, 722, 420, 552, 202, 541, 106, 358, 433, 73, 377, 236, 399, 655, 268, 39, 326, 717, 639, 543, 653, 719, 716, 843, 412, 554, 120, 80, 485, 328, 69, 583, 388, 33, 92, 305, 53, 14, 529, 170, 384, 789, 481, 400, 210, 117, 329, 212, 688, 242, 537, 51, 174, 743, 697, 522, 171, 502, 102, 9, 191, 781, 255, 524, 176, 153, 533, 252, 704, 418, 25, 625, 801, 635, 369, 91, 376, 222, 303, 578, 536, 251, 20, 505, 390, 638, 581, 836, 601, 396, 767, 453, 773, 299, 287, 389, 209, 510, 526, 227, 309, 838, 104, 590, 220, 48, 311, 487, 499, 553, 667, 760, 527, 523, 587, 241, 226, 471, 93, 574, 155, 720, 577, 157, 474, 464, 673, 495, 82, 458, 261, 333, 130, 540, 239, 199, 816, 832, 272, 228, 204, 425, 820}

    {504, 82, 628, 775, 435, 21, 836, 443, 515, 397, 830, 569, 501, 578, 350, 58, 209, 620, 112, 440, 655, 460, 761, 94, 152, 181, 374, 708, 337, 788, 278, 18, 359, 5, 592, 456, 92, 71, 173, 208, 726, 633, 489, 487, 710, 764, 183, 595, 544, 480, 103, 29, 298, 715, 465, 186, 470, 474, 64, 62, 10, 220, 192, 263, 111, 475, 771, 264, 271, 505, 769, 53, 127, 530, 319, 274, 727, 607, 631, 793, 30, 420, 157, 704, 285, 320, 334, 421, 158, 398, 143, 115, 22, 496, 562, 141, 43, 60, 175, 623, 667, 691, 516, 497, 538, 116, 336, 90, 362, 462, 619, 565, 550, 718, 451, 807, 477, 685, 463, 302, 795, 261, 409, 741, 529, 575, 814, 185, 553, 733, 204, 44, 69, 731, 114, 719, 276, 414, 288, 441, 326, 389, 130, 100, 568, 735, 45, 454, 250, 748, 294, 268, 50, 434, 697, 266, 418, 678, 138, 681, 506, 612, 23, 744, 649, 554, 693, 495, 699, 763, 682, 603, 572, 812, 587, 402, 510, 382, 93, 368, 765, 46, 123, 792, 594, 314, 259, 211, 252, 772, 34, 444, 566, 790, 796, 559, 521, 200, 246, 545, 498, 563, 616, 617, 533, 396, 196, 659, 119, 825, 657, 410, 832, 471, 140, 63, 740, 842, 574, 577, 166, 481, 178, 131, 66, 376, 712, 582, 425, 413, 417, 317, 113, 817, 19, 437, 794, 36, 651, 755, 813, 61, 801, 381, 269, 476, 555, 549, 400, 427, 17, 539, 674, 447, 690, 174, 153, 95, 231, 321, 20, 677, 56, 663, 77, 408, 219, 843, 38, 736, 666, 201, 304, 490, 79, 241, 713, 672, 557, 449, 627, 423, 586, 604, 823, 331, 51, 745, 25, 136, 828, 68, 597, 41, 560, 369, 290, 384, 309, 203, 450, 318, 608, 778, 491, 493, 424, 356, 405, 721, 611, 625, 102, 640, 760, 670, 754, 312, 820, 234, 439, 579, 28, 702, 732, 164, 673, 556, 57, 520, 323, 522, 494, 311, 330, 76, 177, 675, 452, 40, 172, 786, 536, 272, 306, 422, 72, 59, 756, 671, 360, 819, 431, 838, 393, 89, 606, 124, 65, 632, 277, 698, 243, 642, 707, 637, 725, 464, 609, 645, 503, 286, 301, 291, 535, 583, 386, 108, 91, 512, 783, 235, 596, 12, 358, 548, 205, 647, 106, 453, 229, 8, 135, 800, 714, 202, 622, 296, 643, 461, 662, 593, 300, 194, 401, 723, 641, 837, 151, 665, 701, 218, 253, 816, 709, 524, 248, 392, 47, 428, 519, 344, 618, 387, 709, 353, 475, 407, 753, 189, 646, 142, 785, 707, 112, 512, 494, 619, 409, 831, 168, 488, 398, 280, 132, 403, 735, 247, 71, 401, 783, 28, 534, 596, 806, 693, 269, 134, 622, 835, 100, 579, 592, 339, 285, 278, 295, 294, 794, 776, 277, 454, 234, 15, 795, 705, 613, 235, 143, 500, 197, 782, 538, 217, 307, 125, 177, 96, 690, 393, 477, 657, 140, 804, 662, 708, 447, 626, 413, 674, 41, 649, 511, 218, 406, 109, 101, 60, 612, 248, 656, 97, 64, 576, 772, 265, 825, 428, 23, 76, 86, 74, 562, 195, 826, 253, 192, 630, 42, 182, 681, 802, 107, 4, 788, 149, 436, 77, 394, 738, 12, 127, 842, 591, 736, 257, 530, 249, 361, 304, 791, 558, 589, 608, 379, 415, 342, 827, 414, 113, 563, 216, 432, 34, 391, 293, 355, 402, 312, 380, 634, 184, 427, 29, 208, 675, 797, 175, 546, 486, 337, 352, 173, 517, 83, 62, 633, 606, 822, 126, 232, 586, 350, 790, 560, 320, 364, 416, 497, 758, 181, 24, 531, 321, 152, 405, 701, 367, 385, 734, 444, 448, 764, 745, 65, 439, 580, 141, 610, 457, 372, 482, 779, 602, 244, 565, 807, 306, 166, 774, 318, 624, 169, 593, 147, 491, 805, 545, 604, 628, 715, 38, 483, 687, 698, 335, 730, 215, 137, 105, 365, 636, 356, 10, 188, 571, 442, 284, 165, 301, 214, 539, 139, 566, 446, 338, 201, 133, 2, 225, 84, 839, 463, 371, 271, 710, 611, 808, 314, 513, 661, 658, 809, 17, 411, 549, 273, 279, 441, 621, 507, 525, 547, 559, 542, 841, 503, 131, 703, 431, 45, 740, 32, 111, 334, 198, 678, 504, 213, 426, 833, 629, 493, 395, 30, 751, 643, 68, 615, 3, 519, 98, 712, 469, 114, 739, 472, 603, 461, 550, 26, 302, 410, 599, 741, 351, 316, 671, 476, 360, 419, 468, 729, 345, 103, 829, 823, 664, 19, 22, 164, 617, 243, 732, 685, 238, 627, 467, 473, 762, 61, 21, 286, 90, 663, 18, 702, 298, 778, 378, 146, 108, 99, 812, 150, 713, 440, 368, 700, 180, 516, 819, 670, 310, 479, 585, 230, 386, 323, 761, 769, 449, 422, 605, 521, 40, 450, 676, 56, 392, 650, 434, 423, 757, 799, 489, 668, 828, 327, 224, 206, 600, 595, 748, 508, 194, 830, 480, 551, 755, 724, 381, 404, 233, 588, 689, 451, 348, 680, 768, 373, 94, 186, 727, 408, 648, 79, 460, 37, 196, 800, 31, 623, 266, 260, 167, 660, 297, 162, 814, 818, 296, 110, 317, 535, 501, 363, 325, 424, 292, 548, 754, 54, 528, 151, 747, 462, 331, 682, 817, 786, 229, 357, 81, 354, 332, 341, 160, 340, 723, 699, 179, 0, 70, 568, 584, 138, 793, 810, 570, 821, 492, 456, 290, 330, 470, 203, 319, 163, 498, 67, 752, 684, 264, 315, 27, 313, 787, 840, 282, 520, 515, 205, 291, 78, 300, 119, 72, 136, 686, 459, 374, 756, 158, 116, 452, 344, 557, 466, 679, 429, 200, 750, 614, 35, 696, 677, 725, 275, 518, 443, 7, 573, 815, 775, 57, 254, 88, 211, 50, 370, 135, 714, 478, 490, 397, 737, 742, 561, 349, 642, 289, 582, 711, 777, 691, 95, 47, 544, 792, 8, 437, 283, 375, 637, 834, 770, 259, 276, 659, 721, 362, 569, 246, 514, 121, 731, 185, 36, 771, 154, 46, 465, 219, 129, 148, 766, 118, 607, 532, 274, 322, 609, 159, 172, 813, 556, 231, 666, 144, 438, 16, 763, 555, 44, 281, 245, 796, 496, 346, 575, 11, 765, 616, 178, 798, 382, 837, 66, 417, 5, 803, 122, 564, 445, 267, 193, 784, 726, 250, 695, 672, 706, 692, 13, 669, 683, 733, 49, 240, 270, 640, 123, 506, 58, 665, 780, 509, 647, 223, 641, 620, 324, 262, 256, 347, 55, 52, 759, 87, 598, 258, 728, 145, 336, 654, 597, 567, 308, 824, 749, 744, 263, 694, 207, 383, 6, 366, 652, 128, 430, 651, 645, 421, 59, 632, 237, 455, 1, 359, 124, 288, 156, 343, 644, 161, 43, 190, 572, 484, 115, 435, 746, 221, 85, 631, 811, 75, 89, 594, 718, 63, 187, 722, 420, 552, 202, 541, 106, 358, 433, 73, 377, 236, 399, 655, 268, 39, 326, 717, 639, 543, 653, 719, 716, 843, 412, 554, 120, 80, 485, 328, 69, 583, 388, 33, 92, 305, 53, 14, 529, 170, 384, 789, 481, 400, 210, 117, 329, 212, 688, 242, 537, 51, 174, 743, 697, 522, 171, 502, 102, 9, 191, 781, 255, 524, 176, 153, 533, 252, 704, 418, 25, 625, 801, 635, 369, 91, 376, 222, 303, 578, 536, 251, 20, 505, 390, 638, 581, 836, 601, 396, 767, 453, 773, 299, 287, 389, 209, 510, 526, 227, 309, 838, 104, 590, 220, 48, 311, 487, 499, 553, 667, 760, 527, 523, 587, 241, 226, 471, 93, 574, 155, 720, 577, 157, 474, 464, 673, 495, 82, 458, 261, 333, 130, 540, 239, 199, 816, 832, 272, 228, 204, 425, 820, 183}

    Returns: {1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1 }

  37. 886

    {438, 68, 334, 320, 715, 606, 123, 747, 538, 378, 106, 77, 776, 11, 458, 395, 280, 427, 81, 69, 478, 782, 615, 98, 113, 436, 161, 363, 585, 840, 445, 93, 625, 168, 455, 302, 444, 584, 605, 872, 789, 239, 207, 440, 617, 735, 200, 865, 102, 52, 642, 410, 171, 208, 775, 550, 861, 638, 233, 494, 135, 419, 256, 539, 110, 533, 599, 205, 793, 555, 251, 355, 512, 569, 649, 699, 49, 234, 884, 144, 714, 725, 0, 283, 801, 374, 222, 289, 165, 802, 396, 387, 147, 108, 549, 724, 94, 60, 608, 57, 17, 469, 470, 82, 738, 403, 698, 736, 637, 210, 768, 634, 335, 619, 230, 864, 711, 847, 647, 580, 324, 296, 415, 181, 122, 228, 618, 428, 739, 252, 288, 237, 88, 282, 695, 308, 805, 358, 497, 548, 727, 670, 372, 450, 622, 140, 382, 737, 343, 291, 19, 244, 316, 341, 493, 604, 287, 660, 610, 556, 179, 112, 791, 842, 157, 418, 227, 90, 284, 304, 420, 815, 104, 344, 116, 742, 229, 516, 684, 517, 852, 561, 133, 97, 319, 185, 661, 603, 213, 501, 640, 479, 632, 756, 80, 740, 650, 361, 55, 854, 241, 873, 770, 35, 36, 525, 566, 499, 484, 709, 260, 407, 142, 596, 460, 151, 824, 231, 703, 217, 749, 579, 750, 680, 408, 348, 573, 20, 105, 879, 40, 463, 42, 587, 526, 502, 621, 215, 885, 375, 9, 368, 859, 459, 202, 867, 16, 442, 874, 274, 293, 325, 659, 118, 377, 364, 582, 421, 437, 837, 778, 424, 411, 150, 373, 871, 814, 89, 753, 664, 690, 132, 849, 160, 87, 717, 562, 39, 860, 570, 37, 779, 269, 51, 309, 186, 646, 546, 92, 498, 798, 869, 465, 386, 370, 197, 707, 600, 804, 679, 8, 792, 203, 191, 766, 624, 376, 432, 130, 816, 265, 577, 471, 429, 746, 124, 109, 71, 663, 764, 423, 380, 636, 143, 553, 305, 249, 589, 710, 481, 881, 3, 66, 866, 602, 393, 453, 67, 489, 225, 391, 833, 366, 261, 485, 5, 828, 32, 75, 83, 328, 467, 298, 446, 628, 136, 726, 534, 796, 63, 863, 626, 270, 581, 6, 177, 697, 385, 627, 7, 317, 686, 65, 409, 519, 620, 1, 345, 367, 688, 15, 708, 212, 357, 323, 786, 258, 809, 702, 674, 671, 841, 238, 788, 434, 858, 250, 384, 392, 806, 616, 121, 807, 196, 760, 473, 810, 356, 226, 476, 514, 666, 174, 656, 503, 271, 267, 435, 758, 315, 506, 383, 276, 74, 877, 443, 487, 677, 597, 544, 765, 329, 353, 761, 623, 716, 691, 413, 25, 447, 184, 221, 53, 324, 82, 751, 710, 724, 560, 65, 6, 123, 342, 381, 778, 254, 640, 49, 517, 322, 37, 392, 203, 813, 242, 18, 798, 489, 734, 821, 298, 226, 767, 98, 838, 267, 28, 434, 279, 290, 757, 1, 727, 605, 334, 847, 775, 443, 484, 509, 81, 470, 745, 514, 248, 57, 110, 438, 41, 147, 591, 595, 136, 546, 573, 748, 19, 176, 719, 432, 275, 603, 429, 373, 538, 237, 187, 525, 189, 882, 777, 338, 542, 66, 570, 207, 368, 867, 91, 447, 427, 409, 157, 412, 614, 624, 113, 453, 864, 634, 543, 683, 805, 482, 293, 276, 732, 846, 826, 619, 172, 837, 583, 111, 828, 253, 758, 271, 769, 362, 768, 676, 336, 592, 537, 308, 67, 759, 497, 622, 873, 126, 522, 618, 883, 399, 581, 251, 703, 47, 215, 749, 670, 314, 516, 245, 63, 544, 332, 661, 530, 69, 294, 533, 456, 17, 321, 259, 211, 54, 494, 363, 600, 552, 164, 244, 695, 138, 21, 420, 628, 182, 616, 874, 771, 191, 85, 35, 460, 121, 492, 856, 554, 655, 785, 437, 416, 145, 129, 346, 772, 647, 173, 116, 528, 310, 743, 465, 636, 266, 577, 134, 505, 252, 162, 504, 448, 760, 790, 103, 154, 675, 839, 139, 652, 43, 750, 726, 105, 738, 169, 137, 803, 682, 410, 268, 234, 304, 654, 23, 553, 602, 500, 625, 549, 286, 415, 374, 534, 753, 635, 227, 466, 493, 236, 478, 801, 142, 735, 170, 459, 871, 741, 107, 257, 621, 196, 439, 174, 307, 701, 328, 762, 468, 563, 295, 192, 795, 53, 151, 854, 662, 648, 72, 361, 793, 208, 349, 79, 756, 736, 718, 642, 70, 30, 384, 596, 281, 666, 764, 816, 857, 664, 141, 382, 627, 355, 608, 143, 422, 673, 521, 590, 140, 80, 130, 153, 219, 829, 34, 224, 175, 582, 25, 119, 158, 548, 407, 26, 835, 806, 461, 567, 690, 144, 445, 366, 572, 393, 213, 564, 371, 455, 341, 532, 122, 190, 535, 788, 770, 27, 48, 674, 754, 306, 691, 783, 156, 729, 858, 875, 313, 284, 152, 205, 814, 16, 171, 843, 339, 589, 529, 280, 376, 823, 378, 2, 796, 291, 117, 792, 848, 728, 9, 699, 800, 571, 217, 62, 515, 179, 56, 11, 426, 414, 694, 506, 20, 779, 586, 601, 442, 716, 495, 96, 359, 86, 638, 330, 7, 77, 413, 377, 885, 277, 39, 510, 657, 872, 588, 36, 539, 702, 780, 811, 14, 283, 402, 612, 679, 269, 287, 817, 692, 255, 76, 632, 108, 827, 687, 782, 851, 50, 24, 742, 488, 188, 68, 93, 312, 830, 395, 351, 611, 668, 773, 159, 520, 59, 221, 177, 868, 832, 637, 578, 881, 678, 761, 199, 454, 325, 38, 700, 866, 114, 319, 717, 711, 375, 852, 651, 305, 317, 659, 791, 106, 201, 88, 503, 292, 513, 29, 498, 270, 303, 210, 669, 809, 877, 672, 12, 400, 61, 733, 396, 404, 584, 457, 558, 148, 766, 285, 430, 297, 804, 527, 599, 487, 84, 820, 471, 417, 316, 853, 365, 476, 641, 425, 288, 585, 479, 193, 282, 256, 228, 239, 436, 450, 737, 31, 301, 565, 265, 653, 10, 865, 102, 132, 367, 714, 55, 225, 178, 746, 524, 559, 370, 218, 705, 262, 607, 840, 333, 441, 45, 845, 485, 841, 75, 220, 302, 311, 656, 32, 681, 633, 449, 755, 357, 623, 278, 490, 42, 739, 135, 706, 411, 836, 715, 849, 433, 613, 475, 78, 247, 765, 474, 812, 274, 435, 526, 579, 358, 740, 223, 797, 574, 390, 842, 444, 408, 794, 646, 168, 118, 508, 730, 216, 345, 394, 684, 446, 127, 698, 556, 576, 550, 329, 235, 844, 380, 660, 74, 568, 185, 89, 467, 464, 685, 230, 480, 232, 238, 720, 799, 243, 264, 348, 360, 92, 296, 44, 626, 246, 523, 240, 13, 214, 180, 58, 855, 477, 195, 200, 101, 787, 109, 406, 424, 161, 562, 150, 575, 263, 133, 693, 340, 15, 343, 64, 204, 704, 688, 808, 784, 452, 261, 90, 160, 99, 486, 863, 696, 97, 344, 428, 593, 825, 859, 423, 323, 511, 250, 289, 650, 473, 587, 665, 309, 209, 335, 557, 73, 472, 197, 818, 354, 810, 5, 620, 318, 677, 531, 580, 707, 631, 815, 347, 597, 834, 518, 22, 807, 112, 128, 594, 555, 629, 4, 458, 419, 440, 163, 763, 71, 183, 52, 884, 850, 643, 403, 3, 680, 167, 541, 33, 149, 212, 491, 364, 547, 397, 502, 507, 723, 104, 184, 8, 519, 481, 326, 606, 536, 353, 709, 880, 483, 131, 60, 615, 545, 120, 747, 94, 609, 0, 337, 389, 315, 95, 463, 639, 713, 273, 469, 155, 383, 551, 752, 879, 731, 869, 401, 644, 712, 822, 645, 331, 802, 658, 789, 385, 372, 379, 249, 630, 166, 418, 722, 499, 124, 833, 300, 610, 663, 231, 258, 451, 198, 598, 774, 721, 819, 369, 569, 194, 181, 708, 388, 566, 671, 202, 327, 561, 405, 40, 462, 391, 667, 125, 87, 229, 46, 146, 241, 604, 233, 861, 186, 165, 697, 387, 496, 206, 776, 431, 501, 83, 320, 649, 686, 540, 725, 831, 350, 878, 352, 862, 744, 299, 421, 860, 786, 870, 100, 824, 876, 356, 260, 617, 115, 222, 512, 386, 51, 398, 272, 781, 689}

    {314, 612, 827, 257, 439, 722, 33, 101, 876, 188, 397, 811, 100, 567, 629, 301, 795, 813, 158, 24, 350, 178, 547, 832, 522, 405, 201, 542, 643, 773, 12, 180, 119, 592, 718, 21, 218, 351, 381, 235, 500, 822, 696, 819, 190, 331, 449, 95, 530, 655, 520, 115, 882, 134, 513, 568, 29, 829, 84, 712, 406, 164, 488, 685, 169, 86, 665, 504, 772, 878, 510, 559, 248, 480, 803, 279, 172, 511, 821, 540, 457, 175, 332, 128, 166, 823, 299, 762, 812, 422, 751, 192, 630, 22, 477, 713, 354, 78, 360, 145, 452, 195, 492, 263, 277, 26, 148, 342, 875, 149, 359, 572, 152, 528, 125, 507, 70, 590, 176, 857, 845, 365, 139, 43, 595, 524, 58, 48, 462, 851, 430, 278, 771, 574, 294, 245, 777, 687, 46, 651, 631, 468, 61, 668, 614, 826, 848, 347, 220, 214, 757, 784, 183, 743, 641, 521, 490, 338, 728, 790, 321, 769, 729, 693, 18, 13, 560, 639, 552, 182, 734, 254, 138, 242, 474, 194, 482, 491, 754, 117, 780, 371, 609, 155, 312, 292, 224, 536, 59, 107, 339, 594, 23, 303, 137, 404, 591, 781, 645, 575, 731, 676, 844, 50, 472, 85, 114, 723, 486, 401, 461, 417, 730, 653, 281, 808, 523, 297, 223, 141, 466, 38, 586, 658, 126, 232, 399, 554, 551, 209, 247, 578, 706, 266, 838, 330, 527, 563, 855, 326, 31, 557, 535, 744, 54, 64, 669, 509, 285, 28, 337, 369, 835, 583, 834, 62, 187, 275, 839, 635, 483, 732, 262, 290, 272, 541, 120, 785, 694, 868, 153, 398, 240, 862, 644, 111, 259, 654, 79, 451, 56, 246, 433, 675, 349, 843, 193, 825, 537, 648, 820, 379, 34, 880, 170, 741, 588, 390, 672, 243, 593, 704, 830, 44, 518, 236, 216, 129, 4, 402, 286, 91, 681, 127, 340, 198, 204, 414, 162, 47, 683, 336, 831, 657, 818, 759, 633, 846, 255, 545, 673, 295, 529, 27, 565, 475, 505, 531, 72, 30, 327, 613, 219, 400, 264, 883, 448, 558, 705, 652, 564, 306, 167, 273, 103, 611, 853, 10, 836, 300, 322, 441, 571, 425, 543, 159, 352, 720, 310, 682, 163, 850, 794, 662, 774, 388, 767, 41, 692, 311, 73, 426, 96, 799, 752, 131, 154, 268, 598, 76, 454, 2, 307, 199, 333, 346, 748, 719, 856, 362, 721, 755, 763, 870, 495, 800, 783, 817, 797, 496, 156, 700, 146, 515, 211, 14, 733, 745, 389, 173, 318, 206, 689, 464, 532, 313, 99, 576, 456, 701, 431, 601, 607, 416, 394, 678, 45, 787, 412, 189, 253, 508, 667, 82, 751, 710, 724, 560, 65, 6, 123, 342, 381, 778, 254, 640, 49, 517, 322, 37, 392, 203, 813, 242, 18, 798, 489, 734, 821, 298, 226, 767, 98, 838, 267, 28, 434, 279, 290, 757, 1, 727, 605, 334, 847, 775, 443, 484, 509, 81, 470, 745, 514, 248, 57, 110, 438, 41, 147, 591, 595, 136, 546, 573, 748, 19, 176, 719, 432, 275, 603, 429, 373, 538, 237, 187, 525, 189, 882, 777, 338, 542, 66, 570, 207, 368, 867, 91, 447, 427, 409, 157, 412, 614, 624, 113, 453, 864, 634, 543, 683, 805, 482, 293, 276, 732, 846, 826, 619, 172, 837, 583, 111, 828, 253, 758, 271, 769, 362, 768, 676, 336, 592, 537, 308, 67, 759, 497, 622, 873, 126, 522, 618, 883, 399, 581, 251, 703, 47, 215, 749, 670, 314, 516, 245, 63, 544, 332, 661, 530, 69, 294, 533, 456, 17, 321, 259, 211, 54, 494, 363, 600, 552, 164, 244, 695, 138, 21, 420, 628, 182, 616, 874, 771, 191, 85, 35, 460, 121, 492, 856, 554, 655, 785, 437, 416, 145, 129, 346, 772, 647, 173, 116, 528, 310, 743, 465, 636, 266, 577, 134, 505, 252, 162, 504, 448, 760, 790, 103, 154, 675, 839, 139, 652, 43, 750, 726, 105, 738, 169, 137, 803, 682, 410, 268, 234, 304, 654, 23, 553, 602, 500, 625, 549, 286, 415, 374, 534, 753, 635, 227, 466, 493, 236, 478, 801, 142, 735, 170, 459, 871, 741, 107, 257, 621, 196, 439, 174, 307, 701, 328, 762, 468, 563, 295, 192, 795, 53, 151, 854, 662, 648, 72, 361, 793, 208, 349, 79, 756, 736, 718, 642, 70, 30, 384, 596, 281, 666, 764, 816, 857, 664, 141, 382, 627, 355, 608, 143, 422, 673, 521, 590, 140, 80, 130, 153, 219, 829, 34, 224, 175, 582, 25, 119, 158, 548, 407, 26, 835, 806, 461, 567, 690, 144, 445, 366, 572, 393, 213, 564, 371, 455, 341, 532, 122, 190, 535, 788, 770, 27, 48, 674, 754, 306, 691, 783, 156, 729, 858, 875, 313, 284, 152, 205, 814, 16, 171, 843, 339, 589, 529, 280, 376, 823, 378, 2, 796, 291, 117, 792, 848, 728, 9, 699, 800, 571, 217, 62, 515, 179, 56, 11, 426, 414, 694, 506, 20, 779, 586, 601, 442, 716, 495, 96, 359, 86, 638, 330, 7, 77, 413, 377, 885, 277, 39, 510, 657, 872, 588, 36, 539, 702, 780, 811, 14, 283, 402, 612, 679, 269, 287, 817, 692, 255, 76, 632, 108, 827, 687, 782, 851, 50, 24, 742, 488, 188, 68, 93, 312, 830, 395, 351, 611, 668, 773, 159, 520, 59, 221, 177, 868, 832, 637, 578, 881, 678, 761, 199, 454, 325, 38, 700, 866, 114, 319, 717, 711, 375, 852, 651, 305, 317, 659, 791, 106, 201, 88, 503, 292, 513, 29, 498, 270, 303, 210, 669, 809, 877, 672, 12, 400, 61, 733, 396, 404, 584, 457, 558, 148, 766, 285, 430, 297, 804, 527, 599, 487, 84, 820, 471, 417, 316, 853, 365, 476, 641, 425, 288, 585, 479, 193, 282, 256, 228, 239, 436, 450, 737, 31, 301, 565, 265, 653, 10, 865, 102, 132, 367, 714, 55, 225, 178, 746, 524, 559, 370, 218, 705, 262, 607, 840, 333, 441, 45, 845, 485, 841, 75, 220, 302, 311, 656, 32, 681, 633, 449, 755, 357, 623, 278, 490, 42, 739, 135, 706, 411, 836, 715, 849, 433, 613, 475, 78, 247, 765, 474, 812, 274, 435, 526, 579, 358, 740, 223, 797, 574, 390, 842, 444, 408, 794, 646, 168, 118, 508, 730, 216, 345, 394, 684, 446, 127, 698, 556, 576, 550, 329, 235, 844, 380, 660, 74, 568, 185, 89, 467, 464, 685, 230, 480, 232, 238, 720, 799, 243, 264, 348, 360, 92, 296, 44, 626, 246, 523, 240, 13, 214, 180, 58, 855, 477, 195, 200, 101, 787, 109, 406, 424, 161, 562, 150, 575, 263, 133, 693, 340, 15, 343, 64, 204, 704, 688, 808, 784, 452, 261, 90, 160, 99, 486, 863, 696, 97, 344, 428, 593, 825, 859, 423, 323, 511, 250, 289, 650, 473, 587, 665, 309, 209, 335, 557, 73, 472, 197, 818, 354, 810, 5, 620, 318, 677, 531, 580, 707, 631, 815, 347, 597, 834, 518, 22, 807, 112, 128, 594, 555, 629, 4, 458, 419, 440, 163, 763, 71, 183, 52, 884, 850, 643, 403, 3, 680, 167, 541, 33, 149, 212, 491, 364, 547, 397, 502, 507, 723, 104, 184, 8, 519, 481, 326, 606, 536, 353, 709, 880, 483, 131, 60, 615, 545, 120, 747, 94, 609, 0, 337, 389, 315, 95, 463, 639, 713, 273, 469, 155, 383, 551, 752, 879, 731, 869, 401, 644, 712, 822, 645, 331, 802, 658, 789, 385, 372, 379, 249, 630, 166, 418, 722, 499, 124, 833, 300, 610, 663, 231, 258, 451, 198, 598, 774, 721, 819, 369, 569, 194, 181, 708, 388, 566, 671, 202, 327, 561, 405, 40, 462, 391, 667, 125, 87, 229, 46, 146, 241, 604, 233, 861, 186, 165, 697, 387, 496, 206, 776, 431, 501, 83, 320, 649, 686, 540, 725, 831, 350, 878, 352, 862, 744, 299, 421, 860, 786, 870, 100, 824, 876, 356, 260, 617, 115, 222, 512, 386, 51, 398, 272, 781, 689, 324}

    Returns: {0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 }

  38. 814

    {119, 38, 176, 369, 189, 478, 93, 471, 61, 603, 415, 297, 507, 551, 29, 82, 179, 598, 114, 293, 620, 488, 279, 663, 299, 76, 260, 566, 484, 807, 273, 420, 768, 15, 31, 426, 806, 634, 516, 589, 812, 676, 455, 1, 702, 744, 301, 77, 578, 793, 625, 480, 388, 393, 234, 422, 503, 410, 532, 305, 190, 164, 367, 491, 202, 112, 105, 145, 643, 354, 564, 325, 586, 719, 4, 10, 757, 248, 205, 730, 475, 789, 554, 238, 709, 637, 187, 360, 129, 19, 212, 246, 411, 809, 521, 623, 85, 102, 499, 706, 310, 708, 283, 313, 68, 162, 63, 450, 489, 403, 404, 428, 553, 449, 78, 645, 271, 501, 512, 16, 630, 558, 267, 710, 333, 448, 432, 518, 33, 444, 555, 392, 773, 520, 55, 813, 788, 581, 261, 652, 716, 694, 607, 7, 229, 597, 339, 423, 58, 587, 124, 784, 166, 539, 669, 688, 245, 363, 154, 329, 540, 48, 467, 704, 157, 181, 763, 204, 220, 617, 612, 722, 336, 605, 751, 724, 796, 221, 771, 427, 30, 495, 534, 226, 468, 311, 476, 116, 808, 254, 312, 599, 317, 780, 57, 377, 334, 8, 83, 711, 236, 21, 292, 60, 781, 739, 188, 584, 463, 391, 759, 130, 687, 458, 770, 180, 660, 641, 107, 682, 259, 288, 355, 255, 550, 132, 100, 280, 352, 557, 545, 308, 469, 302, 671, 81, 0, 75, 810, 148, 89, 37, 97, 183, 25, 23, 43, 782, 376, 233, 28, 571, 14, 171, 679, 776, 742, 383, 685, 765, 126, 368, 149, 80, 35, 613, 350, 556, 26, 616, 6, 387, 618, 538, 440, 175, 59, 307, 275, 351, 41, 92, 456, 631, 795, 98, 767, 324, 131, 741, 614, 240, 705, 715, 761, 263, 278, 384, 45, 268, 359, 760, 335, 644, 125, 749, 327, 155, 344, 163, 253, 575, 199, 250, 627, 208, 362, 567, 386, 559, 678, 576, 494, 670, 412, 332, 698, 123, 389, 636, 740, 431, 304, 56, 366, 777, 151, 535, 654, 533, 700, 734, 79, 746, 642, 318, 511, 674, 315, 214, 194, 138, 349, 798, 421, 247, 285, 524, 690, 361, 477, 64, 655, 608, 713, 357, 286, 803, 103, 17, 523, 177, 417, 723, 738, 168, 662, 514, 785, 451, 128, 639, 88, 661, 224, 703, 437, 772, 320, 493, 496, 178, 526, 681, 530, 574, 732, 585, 725, 69, 242, 401, 372, 600, 544, 649, 729, 496, 606, 395, 658, 11, 473, 155, 555, 199, 26, 87, 210, 344, 507, 126, 391, 150, 677, 461, 447, 61, 596, 192, 723, 712, 717, 141, 439, 116, 252, 374, 458, 52, 324, 689, 6, 420, 695, 497, 775, 791, 464, 114, 291, 651, 804, 90, 28, 255, 308, 62, 190, 149, 527, 765, 506, 171, 14, 333, 98, 725, 193, 786, 49, 108, 752, 681, 491, 590, 585, 715, 419, 226, 710, 112, 377, 783, 19, 328, 146, 582, 215, 168, 34, 248, 479, 583, 687, 348, 700, 605, 558, 124, 21, 195, 483, 674, 231, 597, 737, 405, 224, 662, 384, 509, 399, 235, 778, 780, 204, 246, 354, 624, 281, 105, 196, 71, 174, 795, 75, 802, 632, 254, 425, 387, 40, 389, 140, 392, 436, 64, 806, 434, 276, 305, 691, 290, 335, 5, 159, 619, 30, 330, 759, 623, 48, 318, 798, 758, 684, 220, 726, 382, 8, 591, 38, 236, 672, 580, 82, 690, 502, 467, 809, 221, 347, 546, 375, 147, 208, 501, 368, 293, 781, 728, 102, 352, 736, 77, 257, 489, 531, 435, 573, 492, 655, 533, 27, 653, 50, 289, 217, 227, 209, 148, 25, 562, 310, 451, 364, 469, 812, 83, 559, 660, 327, 2, 654, 287, 747, 633, 599, 239, 630, 385, 772, 189, 450, 91, 272, 138, 431, 341, 540, 519, 613, 554, 422, 564, 162, 144, 0, 511, 137, 242, 176, 94, 732, 302, 41, 663, 240, 237, 212, 670, 761, 261, 390, 279, 63, 183, 595, 667, 69, 603, 577, 316, 369, 460, 668, 701, 241, 744, 517, 793, 269, 96, 474, 706, 529, 652, 614, 349, 513, 356, 774, 545, 7, 278, 537, 188, 129, 637, 258, 750, 17, 604, 644, 46, 552, 358, 182, 530, 504, 230, 314, 639, 409, 396, 194, 785, 679, 741, 211, 575, 184, 326, 543, 198, 33, 811, 100, 800, 282, 309, 133, 548, 164, 163, 307, 524, 378, 487, 760, 610, 365, 535, 42, 351, 666, 218, 203, 428, 157, 771, 143, 376, 131, 79, 621, 567, 312, 463, 523, 410, 588, 223, 561, 379, 350, 320, 286, 636, 306, 480, 641, 66, 751, 322, 238, 68, 657, 424, 635, 813, 452, 367, 724, 796, 692, 167, 550, 661, 788, 694, 3, 411, 427, 719, 123, 721, 560, 757, 152, 355, 648, 565, 101, 263, 402, 197, 551, 472, 404, 486, 536, 156, 406, 109, 161, 262, 656, 702, 233, 466, 298, 448, 414, 353, 16, 268, 709, 432, 383, 72, 294, 334, 139, 313, 441, 122, 556, 622, 784, 456, 86, 299, 280, 366, 216, 571, 361, 449, 730, 325, 589, 634, 23, 127, 191, 370, 763, 273, 36, 521, 475, 107, 756, 357, 181, 510, 29, 642, 678, 612, 315, 1, 9, 528, 229, 570, 766, 92, 81, 792, 103, 160, 579, 499, 115, 55, 265, 340, 113, 173, 413, 13, 476, 478, 373, 518, 178, 542, 338, 423, 665, 336, 754, 267, 187, 503, 95, 301, 808, 253, 117, 578, 186, 748, 214, 547, 707, 673, 790, 59, 283, 468, 37, 631, 249, 243, 51, 649, 76, 403, 574, 154, 251, 110, 319, 134, 412, 311, 731, 393, 541, 455, 767, 400, 470, 699, 626, 549, 514, 264, 659, 202, 482, 442, 97, 693, 810, 165, 471, 39, 647, 35, 801, 53, 359, 638, 718, 500, 172, 729, 421, 73, 31, 433, 415, 686, 57, 794, 158, 136, 206, 24, 407, 259, 539, 125, 408, 4, 80, 12, 494, 696, 643, 708, 576, 207, 742, 797, 799, 609, 296, 488, 169, 444, 615, 219, 805, 345, 620, 78, 426, 625, 738, 443, 629, 776, 250, 505, 746, 260, 74, 745, 266, 256, 716, 608, 317, 99, 177, 705, 185, 180, 735, 650, 534, 437, 277, 512, 300, 44, 739, 495, 743, 787, 166, 526, 680, 275, 88, 342, 569, 205, 247, 664, 175, 770, 584, 303, 465, 462, 477, 438, 703, 572, 371, 201, 544, 398, 104, 47, 244, 60, 15, 85, 515, 508, 20, 151, 607, 598, 711, 481, 45, 417, 762, 688, 84, 697, 339, 557, 553, 593, 675, 54, 153, 271, 170, 769, 388, 304, 611, 532, 568, 459, 484, 740, 646, 270, 381, 22, 285, 106, 380, 429, 669, 803, 682, 713, 111, 70, 563, 418, 640, 363, 401, 43, 727, 222, 323, 581, 337, 65, 485, 600, 32, 288, 225, 56, 789, 297, 628, 234, 749, 616, 671, 516, 627, 520, 135, 58, 128, 362, 430, 274, 67, 18, 764, 284, 360, 592, 683, 676, 490, 213, 332, 753, 617, 416, 566, 329, 321, 245, 714, 440, 522, 292, 586, 120, 397, 10, 685, 722, 777, 498, 446, 768, 587, 618, 493, 594, 200, 394, 807, 331, 601, 645, 118, 130, 755, 372, 525, 698, 704, 89, 602, 454, 720, 132, 386, 773, 179, 445, 228, 457, 93, 734, 121, 343, 782, 733, 142, 145, 232, 119, 779, 538, 346, 453, 295}

    {322, 365, 648, 39, 543, 651, 513, 466, 647, 330, 396, 611, 753, 626, 380, 140, 84, 758, 453, 712, 364, 348, 508, 197, 137, 519, 196, 591, 167, 408, 582, 487, 646, 595, 170, 811, 750, 291, 683, 580, 552, 536, 414, 152, 337, 321, 272, 606, 735, 443, 230, 787, 515, 133, 27, 692, 485, 252, 736, 721, 266, 579, 752, 223, 546, 590, 461, 195, 319, 528, 727, 135, 32, 766, 40, 108, 416, 289, 720, 413, 46, 805, 378, 264, 804, 13, 147, 568, 94, 5, 342, 86, 429, 300, 282, 717, 454, 139, 111, 36, 629, 601, 573, 127, 201, 67, 237, 542, 797, 169, 609, 658, 213, 560, 743, 572, 225, 20, 774, 657, 492, 619, 257, 118, 621, 633, 500, 755, 244, 347, 206, 314, 153, 529, 447, 596, 394, 274, 210, 231, 228, 718, 143, 802, 733, 442, 290, 624, 483, 457, 628, 610, 2, 328, 399, 640, 667, 419, 106, 191, 382, 173, 434, 509, 134, 792, 602, 425, 62, 249, 101, 91, 53, 51, 436, 531, 541, 110, 672, 525, 615, 668, 592, 66, 142, 783, 381, 779, 186, 459, 345, 281, 121, 638, 340, 265, 22, 754, 95, 109, 430, 198, 294, 12, 120, 303, 697, 375, 159, 689, 707, 207, 502, 537, 99, 675, 227, 562, 47, 239, 11, 482, 563, 748, 473, 165, 193, 745, 699, 172, 460, 287, 400, 232, 50, 219, 677, 158, 9, 769, 117, 251, 445, 504, 747, 146, 583, 588, 439, 686, 433, 200, 284, 276, 54, 161, 192, 656, 215, 791, 358, 343, 316, 3, 786, 446, 356, 728, 424, 235, 438, 409, 465, 141, 323, 374, 731, 216, 481, 182, 673, 395, 70, 696, 405, 87, 174, 570, 665, 464, 594, 691, 104, 402, 474, 277, 684, 49, 441, 527, 577, 24, 90, 565, 258, 73, 385, 306, 150, 309, 407, 593, 497, 800, 498, 790, 203, 262, 331, 136, 470, 666, 547, 160, 295, 801, 18, 115, 549, 680, 622, 653, 144, 561, 737, 756, 522, 650, 71, 775, 241, 569, 42, 701, 714, 371, 505, 122, 486, 65, 659, 548, 209, 217, 379, 398, 510, 726, 406, 695, 184, 74, 353, 418, 298, 693, 34, 762, 44, 778, 52, 370, 390, 373, 218, 338, 72, 341, 346, 243, 296, 211, 96, 452, 462, 764, 517, 256, 506, 113, 269, 270, 794, 490, 635, 472, 435, 479, 222, 326, 397, 664, 604, 156, 632, 799, 185, 606, 395, 658, 11, 473, 155, 555, 199, 26, 87, 210, 344, 507, 126, 391, 150, 677, 461, 447, 61, 596, 192, 723, 712, 717, 141, 439, 116, 252, 374, 458, 52, 324, 689, 6, 420, 695, 497, 775, 791, 464, 114, 291, 651, 804, 90, 28, 255, 308, 62, 190, 149, 527, 765, 506, 171, 14, 333, 98, 725, 193, 786, 49, 108, 752, 681, 491, 590, 585, 715, 419, 226, 710, 112, 377, 783, 19, 328, 146, 582, 215, 168, 34, 248, 479, 583, 687, 348, 700, 605, 558, 124, 21, 195, 483, 674, 231, 597, 737, 405, 224, 662, 384, 509, 399, 235, 778, 780, 204, 246, 354, 624, 281, 105, 196, 71, 174, 795, 75, 802, 632, 254, 425, 387, 40, 389, 140, 392, 436, 64, 806, 434, 276, 305, 691, 290, 335, 5, 159, 619, 30, 330, 759, 623, 48, 318, 798, 758, 684, 220, 726, 382, 8, 591, 38, 236, 672, 580, 82, 690, 502, 467, 809, 221, 347, 546, 375, 147, 208, 501, 368, 293, 781, 728, 102, 352, 736, 77, 257, 489, 531, 435, 573, 492, 655, 533, 27, 653, 50, 289, 217, 227, 209, 148, 25, 562, 310, 451, 364, 469, 812, 83, 559, 660, 327, 2, 654, 287, 747, 633, 599, 239, 630, 385, 772, 189, 450, 91, 272, 138, 431, 341, 540, 519, 613, 554, 422, 564, 162, 144, 0, 511, 137, 242, 176, 94, 732, 302, 41, 663, 240, 237, 212, 670, 761, 261, 390, 279, 63, 183, 595, 667, 69, 603, 577, 316, 369, 460, 668, 701, 241, 744, 517, 793, 269, 96, 474, 706, 529, 652, 614, 349, 513, 356, 774, 545, 7, 278, 537, 188, 129, 637, 258, 750, 17, 604, 644, 46, 552, 358, 182, 530, 504, 230, 314, 639, 409, 396, 194, 785, 679, 741, 211, 575, 184, 326, 543, 198, 33, 811, 100, 800, 282, 309, 133, 548, 164, 163, 307, 524, 378, 487, 760, 610, 365, 535, 42, 351, 666, 218, 203, 428, 157, 771, 143, 376, 131, 79, 621, 567, 312, 463, 523, 410, 588, 223, 561, 379, 350, 320, 286, 636, 306, 480, 641, 66, 751, 322, 238, 68, 657, 424, 635, 813, 452, 367, 724, 796, 692, 167, 550, 661, 788, 694, 3, 411, 427, 719, 123, 721, 560, 757, 152, 355, 648, 565, 101, 263, 402, 197, 551, 472, 404, 486, 536, 156, 406, 109, 161, 262, 656, 702, 233, 466, 298, 448, 414, 353, 16, 268, 709, 432, 383, 72, 294, 334, 139, 313, 441, 122, 556, 622, 784, 456, 86, 299, 280, 366, 216, 571, 361, 449, 730, 325, 589, 634, 23, 127, 191, 370, 763, 273, 36, 521, 475, 107, 756, 357, 181, 510, 29, 642, 678, 612, 315, 1, 9, 528, 229, 570, 766, 92, 81, 792, 103, 160, 579, 499, 115, 55, 265, 340, 113, 173, 413, 13, 476, 478, 373, 518, 178, 542, 338, 423, 665, 336, 754, 267, 187, 503, 95, 301, 808, 253, 117, 578, 186, 748, 214, 547, 707, 673, 790, 59, 283, 468, 37, 631, 249, 243, 51, 649, 76, 403, 574, 154, 251, 110, 319, 134, 412, 311, 731, 393, 541, 455, 767, 400, 470, 699, 626, 549, 514, 264, 659, 202, 482, 442, 97, 693, 810, 165, 471, 39, 647, 35, 801, 53, 359, 638, 718, 500, 172, 729, 421, 73, 31, 433, 415, 686, 57, 794, 158, 136, 206, 24, 407, 259, 539, 125, 408, 4, 80, 12, 494, 696, 643, 708, 576, 207, 742, 797, 799, 609, 296, 488, 169, 444, 615, 219, 805, 345, 620, 78, 426, 625, 738, 443, 629, 776, 250, 505, 746, 260, 74, 745, 266, 256, 716, 608, 317, 99, 177, 705, 185, 180, 735, 650, 534, 437, 277, 512, 300, 44, 739, 495, 743, 787, 166, 526, 680, 275, 88, 342, 569, 205, 247, 664, 175, 770, 584, 303, 465, 462, 477, 438, 703, 572, 371, 201, 544, 398, 104, 47, 244, 60, 15, 85, 515, 508, 20, 151, 607, 598, 711, 481, 45, 417, 762, 688, 84, 697, 339, 557, 553, 593, 675, 54, 153, 271, 170, 769, 388, 304, 611, 532, 568, 459, 484, 740, 646, 270, 381, 22, 285, 106, 380, 429, 669, 803, 682, 713, 111, 70, 563, 418, 640, 363, 401, 43, 727, 222, 323, 581, 337, 65, 485, 600, 32, 288, 225, 56, 789, 297, 628, 234, 749, 616, 671, 516, 627, 520, 135, 58, 128, 362, 430, 274, 67, 18, 764, 284, 360, 592, 683, 676, 490, 213, 332, 753, 617, 416, 566, 329, 321, 245, 714, 440, 522, 292, 586, 120, 397, 10, 685, 722, 777, 498, 446, 768, 587, 618, 493, 594, 200, 394, 807, 331, 601, 645, 118, 130, 755, 372, 525, 698, 704, 89, 602, 454, 720, 132, 386, 773, 179, 445, 228, 457, 93, 734, 121, 343, 782, 733, 142, 145, 232, 119, 779, 538, 346, 453, 295, 496}

    Returns: {1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1 }

  39. 914

    {55, 505, 267, 572, 427, 519, 486, 726, 523, 409, 27, 223, 184, 870, 319, 682, 165, 708, 478, 23, 881, 637, 825, 44, 203, 226, 821, 399, 453, 213, 843, 804, 551, 288, 753, 563, 644, 608, 62, 596, 872, 47, 744, 839, 734, 831, 264, 466, 667, 783, 99, 529, 590, 517, 674, 564, 383, 849, 135, 357, 151, 37, 421, 684, 142, 75, 216, 66, 854, 274, 879, 502, 457, 657, 911, 539, 800, 830, 832, 379, 888, 414, 558, 428, 815, 301, 79, 528, 438, 231, 538, 265, 796, 617, 436, 233, 515, 423, 420, 198, 884, 905, 247, 727, 93, 263, 244, 819, 348, 477, 405, 215, 238, 259, 117, 112, 329, 65, 266, 761, 411, 185, 575, 895, 260, 569, 129, 42, 609, 440, 556, 147, 134, 16, 148, 659, 258, 31, 805, 341, 496, 899, 376, 362, 807, 797, 268, 21, 577, 22, 309, 370, 145, 913, 700, 218, 229, 587, 615, 161, 887, 780, 583, 342, 695, 861, 419, 249, 728, 889, 782, 746, 398, 680, 858, 272, 481, 118, 611, 169, 638, 380, 126, 188, 181, 149, 192, 462, 152, 24, 754, 343, 293, 859, 743, 755, 873, 673, 430, 764, 893, 735, 114, 280, 51, 194, 68, 790, 552, 647, 585, 46, 401, 70, 719, 894, 566, 403, 73, 86, 573, 703, 209, 318, 542, 614, 292, 14, 733, 18, 191, 474, 391, 248, 586, 580, 509, 524, 641, 561, 626, 256, 722, 793, 449, 748, 32, 785, 153, 305, 898, 676, 503, 278, 654, 837, 285, 619, 791, 144, 202, 281, 361, 276, 549, 501, 227, 87, 906, 458, 201, 90, 338, 760, 454, 53, 330, 170, 631, 897, 621, 74, 781, 660, 624, 283, 294, 779, 119, 365, 286, 160, 378, 900, 9, 803, 485, 111, 479, 166, 646, 236, 426, 323, 663, 206, 869, 373, 217, 709, 353, 210, 813, 136, 856, 310, 774, 143, 827, 187, 45, 598, 776, 232, 317, 527, 174, 602, 178, 811, 489, 172, 49, 712, 600, 532, 482, 29, 124, 246, 526, 520, 701, 491, 885, 845, 741, 463, 498, 354, 476, 6, 324, 678, 635, 792, 651, 4, 653, 597, 400, 239, 902, 594, 242, 834, 836, 643, 716, 655, 533, 662, 847, 816, 439, 715, 862, 313, 225, 855, 892, 339, 228, 729, 326, 749, 841, 434, 557, 686, 320, 139, 694, 431, 633, 670, 176, 543, 304, 639, 261, 415, 475, 418, 704, 306, 381, 866, 432, 838, 155, 38, 488, 322, 8, 582, 371, 554, 603, 78, 738, 61, 316, 867, 877, 467, 297, 81, 806, 384, 874, 584, 912, 287, 451, 262, 798, 327, 723, 876, 693, 56, 447, 740, 706, 601, 766, 15, 82, 511, 402, 510, 844, 128, 204, 696, 642, 124, 216, 829, 574, 445, 344, 548, 632, 505, 547, 33, 778, 251, 653, 297, 679, 713, 495, 696, 320, 785, 480, 697, 164, 146, 616, 352, 750, 422, 360, 773, 913, 556, 195, 359, 396, 599, 594, 468, 54, 457, 688, 170, 425, 710, 884, 592, 517, 10, 4, 742, 144, 728, 18, 746, 132, 545, 855, 804, 550, 206, 379, 316, 886, 621, 695, 626, 704, 666, 813, 406, 26, 614, 231, 683, 86, 111, 430, 58, 743, 538, 529, 413, 810, 15, 783, 879, 634, 859, 539, 387, 351, 73, 337, 793, 698, 589, 286, 100, 795, 91, 177, 871, 809, 644, 255, 348, 230, 709, 327, 888, 240, 265, 7, 398, 541, 642, 595, 891, 821, 910, 726, 553, 486, 466, 814, 176, 350, 367, 567, 720, 559, 749, 834, 142, 16, 650, 229, 434, 323, 435, 774, 120, 840, 643, 776, 158, 659, 866, 325, 309, 748, 386, 321, 636, 208, 237, 244, 775, 151, 798, 405, 456, 196, 271, 764, 103, 715, 366, 770, 13, 835, 625, 1, 133, 576, 675, 554, 340, 857, 167, 649, 658, 832, 850, 722, 727, 183, 169, 300, 759, 767, 70, 906, 267, 852, 609, 518, 82, 383, 528, 411, 790, 586, 806, 117, 437, 429, 882, 400, 763, 902, 269, 228, 648, 50, 839, 147, 270, 285, 657, 310, 478, 502, 700, 125, 131, 246, 256, 66, 807, 737, 392, 510, 670, 579, 863, 889, 290, 661, 532, 375, 487, 512, 484, 678, 864, 280, 174, 224, 108, 284, 160, 49, 335, 825, 527, 535, 302, 329, 59, 79, 780, 907, 20, 845, 460, 119, 811, 673, 238, 14, 838, 194, 716, 336, 734, 212, 872, 601, 162, 607, 514, 362, 723, 571, 368, 25, 276, 895, 475, 692, 522, 598, 820, 197, 121, 584, 123, 236, 490, 596, 305, 754, 43, 860, 221, 847, 639, 130, 45, 52, 837, 613, 331, 165, 549, 39, 394, 646, 311, 551, 563, 175, 31, 819, 63, 454, 233, 446, 188, 127, 46, 470, 699, 665, 145, 239, 622, 389, 483, 113, 17, 354, 511, 90, 226, 62, 370, 249, 701, 399, 166, 112, 572, 101, 733, 781, 104, 363, 364, 448, 0, 472, 192, 652, 198, 278, 758, 459, 638, 171, 751, 507, 694, 812, 885, 402, 154, 744, 718, 474, 491, 294, 873, 81, 102, 815, 896, 118, 339, 282, 506, 703, 149, 668, 629, 531, 569, 44, 384, 617, 345, 243, 9, 65, 106, 126, 453, 181, 303, 684, 234, 380, 849, 669, 136, 89, 203, 663, 202, 30, 450, 260, 296, 479, 552, 211, 241, 682, 711, 883, 660, 836, 757, 779, 575, 156, 235, 655, 903, 210, 385, 443, 799, 843, 856, 109, 301, 436, 802, 817, 209, 792, 150, 493, 677, 791, 24, 391, 801, 307, 706, 381, 471, 38, 637, 184, 911, 542, 34, 630, 433, 729, 361, 410, 137, 53, 851, 326, 628, 247, 612, 207, 36, 84, 140, 867, 289, 343, 421, 717, 714, 291, 868, 19, 153, 786, 128, 298, 122, 901, 681, 912, 828, 796, 204, 905, 481, 588, 21, 23, 28, 439, 173, 85, 504, 116, 604, 185, 861, 78, 676, 268, 426, 324, 693, 222, 250, 782, 87, 395, 674, 178, 573, 418, 190, 536, 691, 685, 566, 789, 521, 444, 897, 48, 562, 489, 440, 544, 60, 134, 606, 833, 308, 516, 92, 645, 47, 615, 894, 22, 623, 664, 707, 881, 281, 157, 397, 591, 69, 558, 761, 702, 877, 68, 656, 708, 582, 6, 546, 29, 107, 412, 72, 537, 313, 218, 602, 508, 587, 83, 37, 560, 633, 768, 458, 732, 671, 225, 600, 409, 452, 318, 705, 762, 95, 261, 98, 110, 266, 299, 846, 180, 168, 568, 51, 766, 530, 135, 75, 220, 794, 455, 898, 408, 77, 874, 618, 844, 745, 259, 191, 755, 279, 496, 585, 501, 769, 442, 690, 315, 509, 870, 57, 306, 374, 854, 253, 523, 388, 407, 319, 71, 494, 155, 258, 275, 200, 465, 11, 213, 787, 463, 163, 403, 358, 822, 908, 865, 447, 880, 808, 816, 477, 651, 451, 427, 215, 624, 372, 114, 159, 416, 909, 293, 662, 199, 543, 824, 461, 232, 503, 187, 561, 747, 827, 578, 756, 858, 248, 848, 99, 317, 424, 892, 565, 610, 376, 580, 80, 349, 533, 647, 139, 88, 731, 96, 105, 143, 654, 93, 583, 373, 564, 41, 740, 179, 904, 784, 735, 765, 534, 214, 519, 74, 724, 76, 730, 841, 365, 67, 498, 520, 274, 725, 721, 842, 771, 513, 772, 752, 741, 312, 245, 473, 242, 497, 304, 887, 441, 862, 423, 172, 525, 605, 476, 876, 805, 831, 438, 878, 890, 35, 355, 257, 414, 893, 342, 295, 341, 420, 390, 631, 182, 619, 488, 148, 152, 712, 570, 555, 830, 283, 500, 3, 428, 314, 42, 40, 369, 432, 186, 288, 415, 401, 581, 141, 526, 823, 219, 899, 201, 252, 346, 719, 382, 620, 760, 205, 900, 515, 687, 263, 287, 223, 138, 5, 577, 378, 115, 27, 129, 485, 431, 193, 590, 603, 8, 273, 818, 777, 254, 322, 875, 292, 328, 464, 61, 680, 593, 227, 826, 469, 611, 608, 467, 803, 55, 356, 627, 640, 736, 272, 524, 635, 2, 32, 264, 672, 597, 12, 338, 788, 667, 462, 277, 853, 189, 334, 739, 482, 393, 499, 161, 97, 641, 332, 217, 689, 869, 753, 557, 371, 333, 353, 94, 347, 377, 540, 417, 330, 797, 56, 738, 419, 492, 262, 357, 800, 404, 686, 449, 64}

    {801, 883, 407, 756, 95, 677, 3, 456, 71, 559, 710, 100, 483, 691, 302, 852, 865, 450, 291, 347, 337, 253, 904, 443, 618, 20, 275, 789, 842, 254, 560, 809, 896, 613, 788, 548, 50, 103, 19, 121, 495, 544, 465, 2, 713, 295, 211, 88, 886, 43, 394, 0, 506, 80, 675, 26, 351, 605, 105, 308, 864, 784, 350, 822, 882, 199, 679, 773, 125, 850, 366, 452, 5, 102, 422, 299, 13, 359, 382, 497, 763, 59, 828, 731, 69, 860, 824, 219, 705, 757, 714, 698, 547, 656, 352, 269, 182, 588, 296, 636, 328, 303, 101, 435, 471, 83, 851, 567, 334, 132, 833, 555, 492, 516, 494, 868, 628, 627, 345, 335, 444, 369, 702, 220, 508, 612, 808, 7, 565, 273, 156, 687, 315, 823, 689, 589, 666, 12, 499, 163, 665, 120, 545, 110, 664, 183, 745, 235, 11, 333, 464, 650, 290, 417, 386, 146, 909, 397, 762, 758, 622, 629, 576, 469, 300, 94, 314, 446, 284, 57, 480, 634, 771, 406, 40, 54, 592, 537, 441, 189, 154, 312, 568, 880, 387, 616, 536, 630, 336, 863, 392, 775, 311, 699, 33, 777, 208, 252, 212, 157, 750, 810, 177, 732, 245, 730, 890, 173, 34, 137, 237, 875, 107, 570, 490, 63, 737, 610, 140, 127, 645, 115, 358, 786, 848, 195, 550, 64, 429, 84, 30, 197, 581, 562, 812, 123, 35, 903, 1, 593, 525, 461, 504, 375, 835, 787, 814, 92, 765, 772, 167, 241, 767, 688, 574, 36, 470, 493, 396, 658, 724, 910, 424, 512, 697, 820, 28, 372, 692, 58, 711, 668, 325, 871, 389, 410, 530, 908, 89, 10, 472, 739, 531, 652, 721, 507, 97, 270, 25, 518, 718, 500, 514, 445, 108, 648, 356, 221, 141, 759, 725, 205, 106, 67, 164, 180, 901, 131, 138, 669, 282, 437, 390, 395, 425, 363, 289, 685, 240, 632, 640, 96, 571, 681, 340, 404, 48, 891, 625, 76, 620, 207, 307, 487, 599, 91, 829, 540, 321, 190, 224, 671, 459, 344, 484, 175, 179, 72, 355, 298, 393, 222, 331, 271, 747, 113, 277, 770, 578, 367, 720, 683, 349, 279, 878, 840, 752, 846, 251, 857, 104, 98, 214, 455, 385, 412, 604, 595, 109, 85, 778, 546, 751, 374, 116, 795, 364, 707, 534, 41, 690, 736, 52, 672, 186, 535, 591, 649, 77, 521, 196, 433, 377, 234, 607, 368, 661, 579, 133, 768, 907, 150, 255, 742, 717, 39, 200, 460, 230, 60, 408, 606, 522, 346, 416, 623, 159, 817, 818, 513, 360, 553, 473, 250, 413, 168, 442, 162, 122, 243, 257, 130, 158, 17, 193, 799, 769, 802, 853, 826, 541, 332, 171, 448, 388, 794, 468, 216, 829, 574, 445, 344, 548, 632, 505, 547, 33, 778, 251, 653, 297, 679, 713, 495, 696, 320, 785, 480, 697, 164, 146, 616, 352, 750, 422, 360, 773, 913, 556, 195, 359, 396, 599, 594, 468, 54, 457, 688, 170, 425, 710, 884, 592, 517, 10, 4, 742, 144, 728, 18, 746, 132, 545, 855, 804, 550, 206, 379, 316, 886, 621, 695, 626, 704, 666, 813, 406, 26, 614, 231, 683, 86, 111, 430, 58, 743, 538, 529, 413, 810, 15, 783, 879, 634, 859, 539, 387, 351, 73, 337, 793, 698, 589, 286, 100, 795, 91, 177, 871, 809, 644, 255, 348, 230, 709, 327, 888, 240, 265, 7, 398, 541, 642, 595, 891, 821, 910, 726, 553, 486, 466, 814, 176, 350, 367, 567, 720, 559, 749, 834, 142, 16, 650, 229, 434, 323, 435, 774, 120, 840, 643, 776, 158, 659, 866, 325, 309, 748, 386, 321, 636, 208, 237, 244, 775, 151, 798, 405, 456, 196, 271, 764, 103, 715, 366, 770, 13, 835, 625, 1, 133, 576, 675, 554, 340, 857, 167, 649, 658, 832, 850, 722, 727, 183, 169, 300, 759, 767, 70, 906, 267, 852, 609, 518, 82, 383, 528, 411, 790, 586, 806, 117, 437, 429, 882, 400, 763, 902, 269, 228, 648, 50, 839, 147, 270, 285, 657, 310, 478, 502, 700, 125, 131, 246, 256, 66, 807, 737, 392, 510, 670, 579, 863, 889, 290, 661, 532, 375, 487, 512, 484, 678, 864, 280, 174, 224, 108, 284, 160, 49, 335, 825, 527, 535, 302, 329, 59, 79, 780, 907, 20, 845, 460, 119, 811, 673, 238, 14, 838, 194, 716, 336, 734, 212, 872, 601, 162, 607, 514, 362, 723, 571, 368, 25, 276, 895, 475, 692, 522, 598, 820, 197, 121, 584, 123, 236, 490, 596, 305, 754, 43, 860, 221, 847, 639, 130, 45, 52, 837, 613, 331, 165, 549, 39, 394, 646, 311, 551, 563, 175, 31, 819, 63, 454, 233, 446, 188, 127, 46, 470, 699, 665, 145, 239, 622, 389, 483, 113, 17, 354, 511, 90, 226, 62, 370, 249, 701, 399, 166, 112, 572, 101, 733, 781, 104, 363, 364, 448, 0, 472, 192, 652, 198, 278, 758, 459, 638, 171, 751, 507, 694, 812, 885, 402, 154, 744, 718, 474, 491, 294, 873, 81, 102, 815, 896, 118, 339, 282, 506, 703, 149, 668, 629, 531, 569, 44, 384, 617, 345, 243, 9, 65, 106, 126, 453, 181, 303, 684, 234, 380, 849, 669, 136, 89, 203, 663, 202, 30, 450, 260, 296, 479, 552, 211, 241, 682, 711, 883, 660, 836, 757, 779, 575, 156, 235, 655, 903, 210, 385, 443, 799, 843, 856, 109, 301, 436, 802, 817, 209, 792, 150, 493, 677, 791, 24, 391, 801, 307, 706, 381, 471, 38, 637, 184, 911, 542, 34, 630, 433, 729, 361, 410, 137, 53, 851, 326, 628, 247, 612, 207, 36, 84, 140, 867, 289, 343, 421, 717, 714, 291, 868, 19, 153, 786, 128, 298, 122, 901, 681, 912, 828, 796, 204, 905, 481, 588, 21, 23, 28, 439, 173, 85, 504, 116, 604, 185, 861, 78, 676, 268, 426, 324, 693, 222, 250, 782, 87, 395, 674, 178, 573, 418, 190, 536, 691, 685, 566, 789, 521, 444, 897, 48, 562, 489, 440, 544, 60, 134, 606, 833, 308, 516, 92, 645, 47, 615, 894, 22, 623, 664, 707, 881, 281, 157, 397, 591, 69, 558, 761, 702, 877, 68, 656, 708, 582, 6, 546, 29, 107, 412, 72, 537, 313, 218, 602, 508, 587, 83, 37, 560, 633, 768, 458, 732, 671, 225, 600, 409, 452, 318, 705, 762, 95, 261, 98, 110, 266, 299, 846, 180, 168, 568, 51, 766, 530, 135, 75, 220, 794, 455, 898, 408, 77, 874, 618, 844, 745, 259, 191, 755, 279, 496, 585, 501, 769, 442, 690, 315, 509, 870, 57, 306, 374, 854, 253, 523, 388, 407, 319, 71, 494, 155, 258, 275, 200, 465, 11, 213, 787, 463, 163, 403, 358, 822, 908, 865, 447, 880, 808, 816, 477, 651, 451, 427, 215, 624, 372, 114, 159, 416, 909, 293, 662, 199, 543, 824, 461, 232, 503, 187, 561, 747, 827, 578, 756, 858, 248, 848, 99, 317, 424, 892, 565, 610, 376, 580, 80, 349, 533, 647, 139, 88, 731, 96, 105, 143, 654, 93, 583, 373, 564, 41, 740, 179, 904, 784, 735, 765, 534, 214, 519, 74, 724, 76, 730, 841, 365, 67, 498, 520, 274, 725, 721, 842, 771, 513, 772, 752, 741, 312, 245, 473, 242, 497, 304, 887, 441, 862, 423, 172, 525, 605, 476, 876, 805, 831, 438, 878, 890, 35, 355, 257, 414, 893, 342, 295, 341, 420, 390, 631, 182, 619, 488, 148, 152, 712, 570, 555, 830, 283, 500, 3, 428, 314, 42, 40, 369, 432, 186, 288, 415, 401, 581, 141, 526, 823, 219, 899, 201, 252, 346, 719, 382, 620, 760, 205, 900, 515, 687, 263, 287, 223, 138, 5, 577, 378, 115, 27, 129, 485, 431, 193, 590, 603, 8, 273, 818, 777, 254, 322, 875, 292, 328, 464, 61, 680, 593, 227, 826, 469, 611, 608, 467, 803, 55, 356, 627, 640, 736, 272, 524, 635, 2, 32, 264, 672, 597, 12, 338, 788, 667, 462, 277, 853, 189, 334, 739, 482, 393, 499, 161, 97, 641, 332, 217, 689, 869, 753, 557, 371, 333, 353, 94, 347, 377, 540, 417, 330, 797, 56, 738, 419, 492, 262, 357, 800, 404, 686, 449, 64, 124}

    Returns: {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0 }

  40. 914

    {145, 446, 79, 538, 84, 693, 788, 857, 101, 848, 104, 422, 222, 65, 636, 231, 873, 802, 308, 770, 295, 239, 548, 444, 224, 580, 453, 262, 283, 826, 351, 380, 660, 321, 769, 116, 416, 744, 216, 739, 832, 494, 484, 610, 745, 750, 880, 611, 605, 375, 2, 616, 642, 780, 767, 510, 525, 91, 474, 112, 604, 333, 211, 221, 307, 860, 293, 4, 411, 511, 455, 841, 243, 560, 689, 697, 407, 887, 11, 589, 88, 298, 497, 294, 763, 811, 657, 439, 532, 676, 22, 852, 279, 754, 699, 388, 401, 320, 287, 716, 248, 87, 192, 374, 461, 478, 555, 792, 868, 516, 384, 17, 813, 268, 121, 198, 346, 38, 681, 332, 609, 430, 94, 471, 823, 562, 136, 600, 267, 581, 352, 582, 366, 741, 898, 576, 40, 394, 69, 169, 677, 396, 353, 115, 273, 52, 550, 596, 595, 696, 8, 734, 726, 685, 109, 276, 822, 1, 903, 282, 214, 80, 501, 483, 708, 111, 386, 495, 199, 249, 797, 383, 391, 468, 129, 856, 732, 626, 204, 229, 438, 53, 93, 738, 184, 482, 634, 882, 371, 619, 650, 498, 890, 629, 157, 691, 537, 786, 256, 759, 591, 670, 529, 390, 449, 297, 260, 784, 266, 61, 264, 284, 360, 355, 292, 76, 207, 395, 570, 236, 845, 521, 59, 269, 336, 372, 89, 46, 479, 305, 522, 143, 625, 526, 806, 329, 173, 441, 542, 725, 23, 349, 680, 819, 507, 392, 801, 317, 849, 799, 661, 138, 700, 775, 683, 519, 275, 356, 899, 563, 300, 874, 805, 795, 362, 296, 314, 144, 756, 309, 114, 414, 66, 761, 755, 895, 160, 488, 575, 843, 772, 714, 153, 33, 359, 43, 354, 385, 783, 737, 547, 107, 357, 635, 223, 865, 908, 901, 14, 364, 440, 304, 782, 71, 412, 662, 481, 431, 237, 419, 859, 245, 690, 477, 299, 187, 77, 78, 233, 410, 818, 376, 389, 119, 254, 558, 393, 796, 807, 462, 535, 189, 217, 551, 877, 408, 587, 20, 577, 703, 514, 814, 215, 723, 135, 377, 319, 764, 476, 246, 615, 833, 458, 889, 82, 122, 403, 50, 687, 800, 180, 546, 213, 127, 838, 631, 21, 183, 854, 39, 698, 779, 158, 106, 219, 594, 452, 86, 632, 413, 648, 344, 515, 205, 566, 28, 881, 808, 487, 432, 459, 67, 643, 645, 649, 220, 345, 651, 423, 152, 363, 74, 5, 290, 328, 241, 485, 448, 45, 134, 415, 102, 170, 863, 110, 271, 463, 465, 103, 313, 647, 133, 639, 301, 673, 280, 715, 146, 324, 630, 553, 621, 862, 235, 10, 607, 667, 163, 270, 748, 347, 124, 539, 608, 387, 32, 130, 47, 702, 456, 506, 257, 585, 824, 97, 473, 400, 838, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448}

    {166, 894, 751, 568, 536, 502, 92, 90, 159, 500, 56, 339, 893, 450, 513, 749, 831, 709, 692, 188, 12, 671, 405, 686, 34, 508, 361, 120, 905, 695, 190, 637, 15, 167, 316, 527, 469, 678, 879, 182, 382, 428, 722, 148, 150, 790, 417, 694, 117, 409, 244, 342, 729, 373, 760, 325, 247, 776, 569, 55, 125, 712, 312, 18, 113, 370, 730, 597, 564, 504, 9, 840, 518, 181, 379, 641, 206, 493, 559, 209, 310, 64, 798, 281, 771, 457, 815, 467, 63, 335, 633, 593, 718, 885, 704, 886, 524, 322, 274, 721, 533, 315, 612, 288, 520, 433, 286, 228, 688, 208, 652, 618, 858, 768, 752, 623, 486, 311, 118, 272, 72, 277, 100, 503, 684, 232, 434, 717, 836, 897, 766, 421, 16, 491, 736, 544, 710, 825, 48, 85, 490, 747, 29, 442, 57, 368, 787, 817, 261, 226, 719, 155, 218, 884, 810, 406, 571, 196, 398, 240, 83, 51, 735, 19, 162, 460, 60, 567, 579, 666, 530, 669, 622, 443, 534, 821, 572, 330, 140, 98, 225, 250, 872, 892, 186, 598, 238, 803, 454, 193, 878, 912, 41, 142, 30, 707, 613, 655, 341, 128, 773, 480, 358, 75, 201, 663, 731, 599, 505, 99, 234, 896, 742, 49, 141, 842, 549, 424, 318, 176, 733, 470, 793, 68, 624, 210, 646, 554, 883, 778, 499, 675, 334, 62, 545, 445, 900, 203, 35, 794, 820, 426, 420, 195, 139, 781, 871, 242, 659, 54, 765, 682, 25, 26, 132, 586, 177, 475, 853, 875, 278, 172, 668, 762, 672, 837, 7, 137, 864, 791, 302, 367, 869, 638, 557, 265, 338, 835, 705, 907, 727, 343, 58, 369, 592, 253, 603, 96, 724, 523, 588, 306, 404, 464, 37, 656, 543, 531, 839, 654, 365, 540, 720, 70, 194, 303, 230, 583, 870, 653, 913, 664, 291, 126, 447, 131, 906, 496, 556, 574, 381, 620, 0, 679, 828, 640, 161, 168, 834, 706, 81, 855, 437, 492, 812, 816, 197, 44, 31, 804, 402, 601, 340, 178, 902, 466, 24, 565, 42, 876, 517, 36, 289, 867, 602, 561, 701, 628, 512, 753, 830, 108, 847, 3, 774, 179, 743, 809, 436, 909, 846, 378, 151, 584, 348, 606, 757, 73, 827, 829, 191, 866, 435, 6, 740, 259, 337, 758, 429, 252, 541, 13, 777, 713, 644, 627, 156, 904, 165, 888, 327, 590, 509, 171, 910, 711, 175, 552, 154, 785, 331, 251, 200, 850, 861, 911, 27, 258, 472, 528, 326, 202, 174, 285, 95, 789, 617, 105, 891, 728, 323, 149, 263, 665, 844, 255, 425, 674, 573, 427, 164, 397, 227, 489, 350, 399, 212, 658, 185, 614, 851, 123, 578, 418, 147, 451, 746, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448, 838}

    Returns: {1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1 }

  41. 914

    {145, 446, 79, 538, 84, 693, 788, 857, 101, 848, 104, 422, 222, 65, 636, 231, 873, 802, 308, 770, 295, 239, 548, 444, 224, 580, 453, 262, 283, 826, 351, 380, 660, 321, 769, 116, 416, 744, 216, 739, 832, 494, 484, 610, 745, 750, 880, 611, 605, 375, 2, 616, 642, 780, 767, 510, 525, 91, 474, 112, 604, 333, 211, 221, 307, 860, 293, 4, 411, 511, 455, 841, 243, 560, 689, 697, 407, 887, 11, 589, 88, 298, 497, 294, 763, 811, 657, 439, 532, 676, 22, 852, 279, 754, 699, 388, 401, 320, 287, 716, 248, 87, 192, 374, 461, 478, 555, 792, 868, 516, 384, 17, 813, 268, 121, 198, 346, 38, 681, 332, 609, 430, 94, 471, 823, 562, 136, 600, 267, 581, 352, 582, 366, 741, 898, 576, 40, 394, 69, 169, 677, 396, 353, 115, 273, 52, 550, 596, 595, 696, 8, 734, 726, 685, 109, 276, 822, 1, 903, 282, 214, 80, 501, 483, 708, 111, 386, 495, 199, 249, 797, 383, 391, 468, 129, 856, 732, 626, 204, 229, 438, 53, 93, 738, 184, 482, 634, 882, 371, 619, 650, 498, 890, 629, 157, 691, 537, 786, 256, 759, 591, 670, 529, 390, 449, 297, 260, 784, 266, 61, 264, 284, 360, 355, 292, 76, 207, 395, 570, 236, 845, 521, 59, 269, 336, 372, 89, 46, 479, 305, 522, 143, 625, 526, 806, 329, 173, 441, 542, 725, 23, 349, 680, 819, 507, 392, 801, 317, 849, 799, 661, 138, 700, 775, 683, 519, 275, 356, 899, 563, 300, 874, 805, 795, 362, 296, 314, 144, 756, 309, 114, 414, 66, 761, 755, 895, 160, 488, 575, 843, 772, 714, 153, 33, 359, 43, 354, 385, 783, 737, 547, 107, 357, 635, 223, 865, 908, 901, 14, 364, 440, 304, 782, 71, 412, 662, 481, 431, 237, 419, 859, 245, 690, 477, 299, 187, 77, 78, 233, 410, 818, 376, 389, 119, 254, 558, 393, 796, 807, 462, 535, 189, 217, 551, 877, 408, 587, 20, 577, 703, 514, 814, 215, 723, 135, 377, 319, 764, 476, 246, 615, 833, 458, 889, 82, 122, 403, 50, 687, 800, 180, 546, 213, 127, 838, 631, 21, 183, 854, 39, 698, 779, 158, 106, 219, 594, 452, 86, 632, 413, 648, 344, 515, 205, 566, 28, 881, 808, 487, 432, 459, 67, 643, 645, 649, 220, 345, 651, 423, 152, 363, 74, 5, 290, 328, 241, 485, 448, 45, 134, 415, 102, 170, 863, 110, 271, 463, 465, 103, 313, 647, 133, 639, 301, 673, 280, 715, 146, 324, 630, 553, 621, 862, 235, 10, 607, 667, 163, 270, 748, 347, 124, 539, 608, 387, 32, 130, 47, 702, 456, 506, 257, 585, 824, 97, 473, 400, 838, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448}

    {166, 894, 751, 568, 536, 502, 92, 90, 159, 500, 56, 339, 893, 450, 513, 749, 831, 709, 692, 188, 12, 671, 405, 686, 34, 508, 361, 120, 905, 695, 190, 637, 15, 167, 316, 527, 469, 678, 879, 182, 382, 428, 722, 148, 150, 790, 417, 694, 117, 409, 244, 342, 729, 373, 760, 325, 247, 776, 569, 55, 125, 712, 312, 18, 113, 370, 730, 597, 564, 504, 9, 840, 518, 181, 379, 641, 206, 493, 559, 209, 310, 64, 798, 281, 771, 457, 815, 467, 63, 335, 633, 593, 718, 885, 704, 886, 524, 322, 274, 721, 533, 315, 612, 288, 520, 433, 286, 228, 688, 208, 652, 618, 858, 768, 752, 623, 486, 311, 118, 272, 72, 277, 100, 503, 684, 232, 434, 717, 836, 897, 766, 421, 16, 491, 736, 544, 710, 825, 48, 85, 490, 747, 29, 442, 57, 368, 787, 817, 261, 226, 719, 155, 218, 884, 810, 406, 571, 196, 398, 240, 83, 51, 735, 19, 162, 460, 60, 567, 579, 666, 530, 669, 622, 443, 534, 821, 572, 330, 140, 98, 225, 250, 872, 892, 186, 598, 238, 803, 454, 193, 878, 912, 41, 142, 30, 707, 613, 655, 341, 128, 773, 480, 358, 75, 201, 663, 731, 599, 505, 99, 234, 896, 742, 49, 141, 842, 549, 424, 318, 176, 733, 470, 793, 68, 624, 210, 646, 554, 883, 778, 499, 675, 334, 62, 545, 445, 900, 203, 35, 794, 820, 426, 420, 195, 139, 781, 871, 242, 659, 54, 765, 682, 25, 26, 132, 586, 177, 475, 853, 875, 278, 172, 668, 762, 672, 837, 7, 137, 864, 791, 302, 367, 869, 638, 557, 265, 338, 835, 705, 907, 727, 343, 58, 369, 592, 253, 603, 96, 724, 523, 588, 306, 404, 464, 37, 656, 543, 531, 839, 654, 365, 540, 720, 70, 194, 303, 230, 583, 870, 653, 913, 664, 291, 126, 447, 131, 906, 496, 556, 574, 381, 620, 0, 679, 828, 640, 161, 168, 834, 706, 81, 855, 437, 492, 812, 816, 197, 44, 31, 804, 402, 601, 340, 178, 902, 466, 24, 565, 42, 876, 517, 36, 289, 867, 602, 561, 701, 628, 512, 753, 830, 108, 847, 3, 774, 179, 743, 809, 436, 909, 846, 378, 151, 584, 348, 606, 757, 73, 827, 829, 191, 866, 435, 6, 740, 259, 337, 758, 429, 252, 541, 13, 777, 713, 644, 627, 156, 904, 165, 888, 327, 590, 509, 171, 910, 711, 175, 552, 154, 785, 331, 251, 200, 850, 861, 911, 27, 258, 472, 528, 326, 202, 174, 285, 95, 789, 617, 105, 891, 728, 323, 149, 263, 665, 844, 255, 425, 674, 573, 427, 164, 397, 227, 489, 350, 399, 212, 658, 185, 614, 851, 123, 578, 418, 147, 451, 746, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448, 838}

    Returns: {1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1 }

  42. 914

    {145, 446, 79, 538, 84, 693, 788, 857, 101, 848, 104, 422, 222, 65, 636, 231, 873, 802, 308, 770, 295, 239, 548, 444, 224, 580, 453, 262, 283, 826, 351, 380, 660, 321, 769, 116, 416, 744, 216, 739, 832, 494, 484, 610, 745, 750, 880, 611, 605, 375, 2, 616, 642, 780, 767, 510, 525, 91, 474, 112, 604, 333, 211, 221, 307, 860, 293, 4, 411, 511, 455, 841, 243, 560, 689, 697, 407, 887, 11, 589, 88, 298, 497, 294, 763, 811, 657, 439, 532, 676, 22, 852, 279, 754, 699, 388, 401, 320, 287, 716, 248, 87, 192, 374, 461, 478, 555, 792, 868, 516, 384, 17, 813, 268, 121, 198, 346, 38, 681, 332, 609, 430, 94, 471, 823, 562, 136, 600, 267, 581, 352, 582, 366, 741, 898, 576, 40, 394, 69, 169, 677, 396, 353, 115, 273, 52, 550, 596, 595, 696, 8, 734, 726, 685, 109, 276, 822, 1, 903, 282, 214, 80, 501, 483, 708, 111, 386, 495, 199, 249, 797, 383, 391, 468, 129, 856, 732, 626, 204, 229, 438, 53, 93, 738, 184, 482, 634, 882, 371, 619, 650, 498, 890, 629, 157, 691, 537, 786, 256, 759, 591, 670, 529, 390, 449, 297, 260, 784, 266, 61, 264, 284, 360, 355, 292, 76, 207, 395, 570, 236, 845, 521, 59, 269, 336, 372, 89, 46, 479, 305, 522, 143, 625, 526, 806, 329, 173, 441, 542, 725, 23, 349, 680, 819, 507, 392, 801, 317, 849, 799, 661, 138, 700, 775, 683, 519, 275, 356, 899, 563, 300, 874, 805, 795, 362, 296, 314, 144, 756, 309, 114, 414, 66, 761, 755, 895, 160, 488, 575, 843, 772, 714, 153, 33, 359, 43, 354, 385, 783, 737, 547, 107, 357, 635, 223, 865, 908, 901, 14, 364, 440, 304, 782, 71, 412, 662, 481, 431, 237, 419, 859, 245, 690, 477, 299, 187, 77, 78, 233, 410, 818, 376, 389, 119, 254, 558, 393, 796, 807, 462, 535, 189, 217, 551, 877, 408, 587, 20, 577, 703, 514, 814, 215, 723, 135, 377, 319, 764, 476, 246, 615, 833, 458, 889, 82, 122, 403, 50, 687, 800, 180, 546, 213, 127, 838, 631, 21, 183, 854, 39, 698, 779, 158, 106, 219, 594, 452, 86, 632, 413, 648, 344, 515, 205, 566, 28, 881, 808, 487, 432, 459, 67, 643, 645, 649, 220, 345, 651, 423, 152, 363, 74, 5, 290, 328, 241, 485, 448, 45, 134, 415, 102, 170, 863, 110, 271, 463, 465, 103, 313, 647, 133, 639, 301, 673, 280, 715, 146, 324, 630, 553, 621, 862, 235, 10, 607, 667, 163, 270, 748, 347, 124, 539, 608, 387, 32, 130, 47, 702, 456, 506, 257, 585, 824, 97, 473, 400, 838, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448}

    {166, 894, 751, 568, 536, 502, 92, 90, 159, 500, 56, 339, 893, 450, 513, 749, 831, 709, 692, 188, 12, 671, 405, 686, 34, 508, 361, 120, 905, 695, 190, 637, 15, 167, 316, 527, 469, 678, 879, 182, 382, 428, 722, 148, 150, 790, 417, 694, 117, 409, 244, 342, 729, 373, 760, 325, 247, 776, 569, 55, 125, 712, 312, 18, 113, 370, 730, 597, 564, 504, 9, 840, 518, 181, 379, 641, 206, 493, 559, 209, 310, 64, 798, 281, 771, 457, 815, 467, 63, 335, 633, 593, 718, 885, 704, 886, 524, 322, 274, 721, 533, 315, 612, 288, 520, 433, 286, 228, 688, 208, 652, 618, 858, 768, 752, 623, 486, 311, 118, 272, 72, 277, 100, 503, 684, 232, 434, 717, 836, 897, 766, 421, 16, 491, 736, 544, 710, 825, 48, 85, 490, 747, 29, 442, 57, 368, 787, 817, 261, 226, 719, 155, 218, 884, 810, 406, 571, 196, 398, 240, 83, 51, 735, 19, 162, 460, 60, 567, 579, 666, 530, 669, 622, 443, 534, 821, 572, 330, 140, 98, 225, 250, 872, 892, 186, 598, 238, 803, 454, 193, 878, 912, 41, 142, 30, 707, 613, 655, 341, 128, 773, 480, 358, 75, 201, 663, 731, 599, 505, 99, 234, 896, 742, 49, 141, 842, 549, 424, 318, 176, 733, 470, 793, 68, 624, 210, 646, 554, 883, 778, 499, 675, 334, 62, 545, 445, 900, 203, 35, 794, 820, 426, 420, 195, 139, 781, 871, 242, 659, 54, 765, 682, 25, 26, 132, 586, 177, 475, 853, 875, 278, 172, 668, 762, 672, 837, 7, 137, 864, 791, 302, 367, 869, 638, 557, 265, 338, 835, 705, 907, 727, 343, 58, 369, 592, 253, 603, 96, 724, 523, 588, 306, 404, 464, 37, 656, 543, 531, 839, 654, 365, 540, 720, 70, 194, 303, 230, 583, 870, 653, 913, 664, 291, 126, 447, 131, 906, 496, 556, 574, 381, 620, 0, 679, 828, 640, 161, 168, 834, 706, 81, 855, 437, 492, 812, 816, 197, 44, 31, 804, 402, 601, 340, 178, 902, 466, 24, 565, 42, 876, 517, 36, 289, 867, 602, 561, 701, 628, 512, 753, 830, 108, 847, 3, 774, 179, 743, 809, 436, 909, 846, 378, 151, 584, 348, 606, 757, 73, 827, 829, 191, 866, 435, 6, 740, 259, 337, 758, 429, 252, 541, 13, 777, 713, 644, 627, 156, 904, 165, 888, 327, 590, 509, 171, 910, 711, 175, 552, 154, 785, 331, 251, 200, 850, 861, 911, 27, 258, 472, 528, 326, 202, 174, 285, 95, 789, 617, 105, 891, 728, 323, 149, 263, 665, 844, 255, 425, 674, 573, 427, 164, 397, 227, 489, 350, 399, 212, 658, 185, 614, 851, 123, 578, 418, 147, 451, 746, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448, 838}

    Returns: {1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1 }

  43. 914

    {145, 446, 79, 538, 84, 693, 788, 857, 101, 848, 104, 422, 222, 65, 636, 231, 873, 802, 308, 770, 295, 239, 548, 444, 224, 580, 453, 262, 283, 826, 351, 380, 660, 321, 769, 116, 416, 744, 216, 739, 832, 494, 484, 610, 745, 750, 880, 611, 605, 375, 2, 616, 642, 780, 767, 510, 525, 91, 474, 112, 604, 333, 211, 221, 307, 860, 293, 4, 411, 511, 455, 841, 243, 560, 689, 697, 407, 887, 11, 589, 88, 298, 497, 294, 763, 811, 657, 439, 532, 676, 22, 852, 279, 754, 699, 388, 401, 320, 287, 716, 248, 87, 192, 374, 461, 478, 555, 792, 868, 516, 384, 17, 813, 268, 121, 198, 346, 38, 681, 332, 609, 430, 94, 471, 823, 562, 136, 600, 267, 581, 352, 582, 366, 741, 898, 576, 40, 394, 69, 169, 677, 396, 353, 115, 273, 52, 550, 596, 595, 696, 8, 734, 726, 685, 109, 276, 822, 1, 903, 282, 214, 80, 501, 483, 708, 111, 386, 495, 199, 249, 797, 383, 391, 468, 129, 856, 732, 626, 204, 229, 438, 53, 93, 738, 184, 482, 634, 882, 371, 619, 650, 498, 890, 629, 157, 691, 537, 786, 256, 759, 591, 670, 529, 390, 449, 297, 260, 784, 266, 61, 264, 284, 360, 355, 292, 76, 207, 395, 570, 236, 845, 521, 59, 269, 336, 372, 89, 46, 479, 305, 522, 143, 625, 526, 806, 329, 173, 441, 542, 725, 23, 349, 680, 819, 507, 392, 801, 317, 849, 799, 661, 138, 700, 775, 683, 519, 275, 356, 899, 563, 300, 874, 805, 795, 362, 296, 314, 144, 756, 309, 114, 414, 66, 761, 755, 895, 160, 488, 575, 843, 772, 714, 153, 33, 359, 43, 354, 385, 783, 737, 547, 107, 357, 635, 223, 865, 908, 901, 14, 364, 440, 304, 782, 71, 412, 662, 481, 431, 237, 419, 859, 245, 690, 477, 299, 187, 77, 78, 233, 410, 818, 376, 389, 119, 254, 558, 393, 796, 807, 462, 535, 189, 217, 551, 877, 408, 587, 20, 577, 703, 514, 814, 215, 723, 135, 377, 319, 764, 476, 246, 615, 833, 458, 889, 82, 122, 403, 50, 687, 800, 180, 546, 213, 127, 838, 631, 21, 183, 854, 39, 698, 779, 158, 106, 219, 594, 452, 86, 632, 413, 648, 344, 515, 205, 566, 28, 881, 808, 487, 432, 459, 67, 643, 645, 649, 220, 345, 651, 423, 152, 363, 74, 5, 290, 328, 241, 485, 448, 45, 134, 415, 102, 170, 863, 110, 271, 463, 465, 103, 313, 647, 133, 639, 301, 673, 280, 715, 146, 324, 630, 553, 621, 862, 235, 10, 607, 667, 163, 270, 748, 347, 124, 539, 608, 387, 32, 130, 47, 702, 456, 506, 257, 585, 824, 97, 473, 400, 838, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448}

    {166, 894, 751, 568, 536, 502, 92, 90, 159, 500, 56, 339, 893, 450, 513, 749, 831, 709, 692, 188, 12, 671, 405, 686, 34, 508, 361, 120, 905, 695, 190, 637, 15, 167, 316, 527, 469, 678, 879, 182, 382, 428, 722, 148, 150, 790, 417, 694, 117, 409, 244, 342, 729, 373, 760, 325, 247, 776, 569, 55, 125, 712, 312, 18, 113, 370, 730, 597, 564, 504, 9, 840, 518, 181, 379, 641, 206, 493, 559, 209, 310, 64, 798, 281, 771, 457, 815, 467, 63, 335, 633, 593, 718, 885, 704, 886, 524, 322, 274, 721, 533, 315, 612, 288, 520, 433, 286, 228, 688, 208, 652, 618, 858, 768, 752, 623, 486, 311, 118, 272, 72, 277, 100, 503, 684, 232, 434, 717, 836, 897, 766, 421, 16, 491, 736, 544, 710, 825, 48, 85, 490, 747, 29, 442, 57, 368, 787, 817, 261, 226, 719, 155, 218, 884, 810, 406, 571, 196, 398, 240, 83, 51, 735, 19, 162, 460, 60, 567, 579, 666, 530, 669, 622, 443, 534, 821, 572, 330, 140, 98, 225, 250, 872, 892, 186, 598, 238, 803, 454, 193, 878, 912, 41, 142, 30, 707, 613, 655, 341, 128, 773, 480, 358, 75, 201, 663, 731, 599, 505, 99, 234, 896, 742, 49, 141, 842, 549, 424, 318, 176, 733, 470, 793, 68, 624, 210, 646, 554, 883, 778, 499, 675, 334, 62, 545, 445, 900, 203, 35, 794, 820, 426, 420, 195, 139, 781, 871, 242, 659, 54, 765, 682, 25, 26, 132, 586, 177, 475, 853, 875, 278, 172, 668, 762, 672, 837, 7, 137, 864, 791, 302, 367, 869, 638, 557, 265, 338, 835, 705, 907, 727, 343, 58, 369, 592, 253, 603, 96, 724, 523, 588, 306, 404, 464, 37, 656, 543, 531, 839, 654, 365, 540, 720, 70, 194, 303, 230, 583, 870, 653, 913, 664, 291, 126, 447, 131, 906, 496, 556, 574, 381, 620, 0, 679, 828, 640, 161, 168, 834, 706, 81, 855, 437, 492, 812, 816, 197, 44, 31, 804, 402, 601, 340, 178, 902, 466, 24, 565, 42, 876, 517, 36, 289, 867, 602, 561, 701, 628, 512, 753, 830, 108, 847, 3, 774, 179, 743, 809, 436, 909, 846, 378, 151, 584, 348, 606, 757, 73, 827, 829, 191, 866, 435, 6, 740, 259, 337, 758, 429, 252, 541, 13, 777, 713, 644, 627, 156, 904, 165, 888, 327, 590, 509, 171, 910, 711, 175, 552, 154, 785, 331, 251, 200, 850, 861, 911, 27, 258, 472, 528, 326, 202, 174, 285, 95, 789, 617, 105, 891, 728, 323, 149, 263, 665, 844, 255, 425, 674, 573, 427, 164, 397, 227, 489, 350, 399, 212, 658, 185, 614, 851, 123, 578, 418, 147, 451, 746, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448, 838}

    Returns: {1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1 }

  44. 914

    {145, 446, 79, 538, 84, 693, 788, 857, 101, 848, 104, 422, 222, 65, 636, 231, 873, 802, 308, 770, 295, 239, 548, 444, 224, 580, 453, 262, 283, 826, 351, 380, 660, 321, 769, 116, 416, 744, 216, 739, 832, 494, 484, 610, 745, 750, 880, 611, 605, 375, 2, 616, 642, 780, 767, 510, 525, 91, 474, 112, 604, 333, 211, 221, 307, 860, 293, 4, 411, 511, 455, 841, 243, 560, 689, 697, 407, 887, 11, 589, 88, 298, 497, 294, 763, 811, 657, 439, 532, 676, 22, 852, 279, 754, 699, 388, 401, 320, 287, 716, 248, 87, 192, 374, 461, 478, 555, 792, 868, 516, 384, 17, 813, 268, 121, 198, 346, 38, 681, 332, 609, 430, 94, 471, 823, 562, 136, 600, 267, 581, 352, 582, 366, 741, 898, 576, 40, 394, 69, 169, 677, 396, 353, 115, 273, 52, 550, 596, 595, 696, 8, 734, 726, 685, 109, 276, 822, 1, 903, 282, 214, 80, 501, 483, 708, 111, 386, 495, 199, 249, 797, 383, 391, 468, 129, 856, 732, 626, 204, 229, 438, 53, 93, 738, 184, 482, 634, 882, 371, 619, 650, 498, 890, 629, 157, 691, 537, 786, 256, 759, 591, 670, 529, 390, 449, 297, 260, 784, 266, 61, 264, 284, 360, 355, 292, 76, 207, 395, 570, 236, 845, 521, 59, 269, 336, 372, 89, 46, 479, 305, 522, 143, 625, 526, 806, 329, 173, 441, 542, 725, 23, 349, 680, 819, 507, 392, 801, 317, 849, 799, 661, 138, 700, 775, 683, 519, 275, 356, 899, 563, 300, 874, 805, 795, 362, 296, 314, 144, 756, 309, 114, 414, 66, 761, 755, 895, 160, 488, 575, 843, 772, 714, 153, 33, 359, 43, 354, 385, 783, 737, 547, 107, 357, 635, 223, 865, 908, 901, 14, 364, 440, 304, 782, 71, 412, 662, 481, 431, 237, 419, 859, 245, 690, 477, 299, 187, 77, 78, 233, 410, 818, 376, 389, 119, 254, 558, 393, 796, 807, 462, 535, 189, 217, 551, 877, 408, 587, 20, 577, 703, 514, 814, 215, 723, 135, 377, 319, 764, 476, 246, 615, 833, 458, 889, 82, 122, 403, 50, 687, 800, 180, 546, 213, 127, 838, 631, 21, 183, 854, 39, 698, 779, 158, 106, 219, 594, 452, 86, 632, 413, 648, 344, 515, 205, 566, 28, 881, 808, 487, 432, 459, 67, 643, 645, 649, 220, 345, 651, 423, 152, 363, 74, 5, 290, 328, 241, 485, 448, 45, 134, 415, 102, 170, 863, 110, 271, 463, 465, 103, 313, 647, 133, 639, 301, 673, 280, 715, 146, 324, 630, 553, 621, 862, 235, 10, 607, 667, 163, 270, 748, 347, 124, 539, 608, 387, 32, 130, 47, 702, 456, 506, 257, 585, 824, 97, 473, 400, 838, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448}

    {166, 894, 751, 568, 536, 502, 92, 90, 159, 500, 56, 339, 893, 450, 513, 749, 831, 709, 692, 188, 12, 671, 405, 686, 34, 508, 361, 120, 905, 695, 190, 637, 15, 167, 316, 527, 469, 678, 879, 182, 382, 428, 722, 148, 150, 790, 417, 694, 117, 409, 244, 342, 729, 373, 760, 325, 247, 776, 569, 55, 125, 712, 312, 18, 113, 370, 730, 597, 564, 504, 9, 840, 518, 181, 379, 641, 206, 493, 559, 209, 310, 64, 798, 281, 771, 457, 815, 467, 63, 335, 633, 593, 718, 885, 704, 886, 524, 322, 274, 721, 533, 315, 612, 288, 520, 433, 286, 228, 688, 208, 652, 618, 858, 768, 752, 623, 486, 311, 118, 272, 72, 277, 100, 503, 684, 232, 434, 717, 836, 897, 766, 421, 16, 491, 736, 544, 710, 825, 48, 85, 490, 747, 29, 442, 57, 368, 787, 817, 261, 226, 719, 155, 218, 884, 810, 406, 571, 196, 398, 240, 83, 51, 735, 19, 162, 460, 60, 567, 579, 666, 530, 669, 622, 443, 534, 821, 572, 330, 140, 98, 225, 250, 872, 892, 186, 598, 238, 803, 454, 193, 878, 912, 41, 142, 30, 707, 613, 655, 341, 128, 773, 480, 358, 75, 201, 663, 731, 599, 505, 99, 234, 896, 742, 49, 141, 842, 549, 424, 318, 176, 733, 470, 793, 68, 624, 210, 646, 554, 883, 778, 499, 675, 334, 62, 545, 445, 900, 203, 35, 794, 820, 426, 420, 195, 139, 781, 871, 242, 659, 54, 765, 682, 25, 26, 132, 586, 177, 475, 853, 875, 278, 172, 668, 762, 672, 837, 7, 137, 864, 791, 302, 367, 869, 638, 557, 265, 338, 835, 705, 907, 727, 343, 58, 369, 592, 253, 603, 96, 724, 523, 588, 306, 404, 464, 37, 656, 543, 531, 839, 654, 365, 540, 720, 70, 194, 303, 230, 583, 870, 653, 913, 664, 291, 126, 447, 131, 906, 496, 556, 574, 381, 620, 0, 679, 828, 640, 161, 168, 834, 706, 81, 855, 437, 492, 812, 816, 197, 44, 31, 804, 402, 601, 340, 178, 902, 466, 24, 565, 42, 876, 517, 36, 289, 867, 602, 561, 701, 628, 512, 753, 830, 108, 847, 3, 774, 179, 743, 809, 436, 909, 846, 378, 151, 584, 348, 606, 757, 73, 827, 829, 191, 866, 435, 6, 740, 259, 337, 758, 429, 252, 541, 13, 777, 713, 644, 627, 156, 904, 165, 888, 327, 590, 509, 171, 910, 711, 175, 552, 154, 785, 331, 251, 200, 850, 861, 911, 27, 258, 472, 528, 326, 202, 174, 285, 95, 789, 617, 105, 891, 728, 323, 149, 263, 665, 844, 255, 425, 674, 573, 427, 164, 397, 227, 489, 350, 399, 212, 658, 185, 614, 851, 123, 578, 418, 147, 451, 746, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448, 838}

    Returns: {1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1 }

  45. 914

    {145, 446, 79, 538, 84, 693, 788, 857, 101, 848, 104, 422, 222, 65, 636, 231, 873, 802, 308, 770, 295, 239, 548, 444, 224, 580, 453, 262, 283, 826, 351, 380, 660, 321, 769, 116, 416, 744, 216, 739, 832, 494, 484, 610, 745, 750, 880, 611, 605, 375, 2, 616, 642, 780, 767, 510, 525, 91, 474, 112, 604, 333, 211, 221, 307, 860, 293, 4, 411, 511, 455, 841, 243, 560, 689, 697, 407, 887, 11, 589, 88, 298, 497, 294, 763, 811, 657, 439, 532, 676, 22, 852, 279, 754, 699, 388, 401, 320, 287, 716, 248, 87, 192, 374, 461, 478, 555, 792, 868, 516, 384, 17, 813, 268, 121, 198, 346, 38, 681, 332, 609, 430, 94, 471, 823, 562, 136, 600, 267, 581, 352, 582, 366, 741, 898, 576, 40, 394, 69, 169, 677, 396, 353, 115, 273, 52, 550, 596, 595, 696, 8, 734, 726, 685, 109, 276, 822, 1, 903, 282, 214, 80, 501, 483, 708, 111, 386, 495, 199, 249, 797, 383, 391, 468, 129, 856, 732, 626, 204, 229, 438, 53, 93, 738, 184, 482, 634, 882, 371, 619, 650, 498, 890, 629, 157, 691, 537, 786, 256, 759, 591, 670, 529, 390, 449, 297, 260, 784, 266, 61, 264, 284, 360, 355, 292, 76, 207, 395, 570, 236, 845, 521, 59, 269, 336, 372, 89, 46, 479, 305, 522, 143, 625, 526, 806, 329, 173, 441, 542, 725, 23, 349, 680, 819, 507, 392, 801, 317, 849, 799, 661, 138, 700, 775, 683, 519, 275, 356, 899, 563, 300, 874, 805, 795, 362, 296, 314, 144, 756, 309, 114, 414, 66, 761, 755, 895, 160, 488, 575, 843, 772, 714, 153, 33, 359, 43, 354, 385, 783, 737, 547, 107, 357, 635, 223, 865, 908, 901, 14, 364, 440, 304, 782, 71, 412, 662, 481, 431, 237, 419, 859, 245, 690, 477, 299, 187, 77, 78, 233, 410, 818, 376, 389, 119, 254, 558, 393, 796, 807, 462, 535, 189, 217, 551, 877, 408, 587, 20, 577, 703, 514, 814, 215, 723, 135, 377, 319, 764, 476, 246, 615, 833, 458, 889, 82, 122, 403, 50, 687, 800, 180, 546, 213, 127, 838, 631, 21, 183, 854, 39, 698, 779, 158, 106, 219, 594, 452, 86, 632, 413, 648, 344, 515, 205, 566, 28, 881, 808, 487, 432, 459, 67, 643, 645, 649, 220, 345, 651, 423, 152, 363, 74, 5, 290, 328, 241, 485, 448, 45, 134, 415, 102, 170, 863, 110, 271, 463, 465, 103, 313, 647, 133, 639, 301, 673, 280, 715, 146, 324, 630, 553, 621, 862, 235, 10, 607, 667, 163, 270, 748, 347, 124, 539, 608, 387, 32, 130, 47, 702, 456, 506, 257, 585, 824, 97, 473, 400, 838, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448}

    {166, 894, 751, 568, 536, 502, 92, 90, 159, 500, 56, 339, 893, 450, 513, 749, 831, 709, 692, 188, 12, 671, 405, 686, 34, 508, 361, 120, 905, 695, 190, 637, 15, 167, 316, 527, 469, 678, 879, 182, 382, 428, 722, 148, 150, 790, 417, 694, 117, 409, 244, 342, 729, 373, 760, 325, 247, 776, 569, 55, 125, 712, 312, 18, 113, 370, 730, 597, 564, 504, 9, 840, 518, 181, 379, 641, 206, 493, 559, 209, 310, 64, 798, 281, 771, 457, 815, 467, 63, 335, 633, 593, 718, 885, 704, 886, 524, 322, 274, 721, 533, 315, 612, 288, 520, 433, 286, 228, 688, 208, 652, 618, 858, 768, 752, 623, 486, 311, 118, 272, 72, 277, 100, 503, 684, 232, 434, 717, 836, 897, 766, 421, 16, 491, 736, 544, 710, 825, 48, 85, 490, 747, 29, 442, 57, 368, 787, 817, 261, 226, 719, 155, 218, 884, 810, 406, 571, 196, 398, 240, 83, 51, 735, 19, 162, 460, 60, 567, 579, 666, 530, 669, 622, 443, 534, 821, 572, 330, 140, 98, 225, 250, 872, 892, 186, 598, 238, 803, 454, 193, 878, 912, 41, 142, 30, 707, 613, 655, 341, 128, 773, 480, 358, 75, 201, 663, 731, 599, 505, 99, 234, 896, 742, 49, 141, 842, 549, 424, 318, 176, 733, 470, 793, 68, 624, 210, 646, 554, 883, 778, 499, 675, 334, 62, 545, 445, 900, 203, 35, 794, 820, 426, 420, 195, 139, 781, 871, 242, 659, 54, 765, 682, 25, 26, 132, 586, 177, 475, 853, 875, 278, 172, 668, 762, 672, 837, 7, 137, 864, 791, 302, 367, 869, 638, 557, 265, 338, 835, 705, 907, 727, 343, 58, 369, 592, 253, 603, 96, 724, 523, 588, 306, 404, 464, 37, 656, 543, 531, 839, 654, 365, 540, 720, 70, 194, 303, 230, 583, 870, 653, 913, 664, 291, 126, 447, 131, 906, 496, 556, 574, 381, 620, 0, 679, 828, 640, 161, 168, 834, 706, 81, 855, 437, 492, 812, 816, 197, 44, 31, 804, 402, 601, 340, 178, 902, 466, 24, 565, 42, 876, 517, 36, 289, 867, 602, 561, 701, 628, 512, 753, 830, 108, 847, 3, 774, 179, 743, 809, 436, 909, 846, 378, 151, 584, 348, 606, 757, 73, 827, 829, 191, 866, 435, 6, 740, 259, 337, 758, 429, 252, 541, 13, 777, 713, 644, 627, 156, 904, 165, 888, 327, 590, 509, 171, 910, 711, 175, 552, 154, 785, 331, 251, 200, 850, 861, 911, 27, 258, 472, 528, 326, 202, 174, 285, 95, 789, 617, 105, 891, 728, 323, 149, 263, 665, 844, 255, 425, 674, 573, 427, 164, 397, 227, 489, 350, 399, 212, 658, 185, 614, 851, 123, 578, 418, 147, 451, 746, 424, 526, 630, 15, 669, 259, 727, 769, 514, 608, 884, 486, 644, 98, 159, 203, 828, 629, 497, 801, 509, 468, 338, 819, 183, 775, 423, 612, 283, 404, 900, 258, 510, 867, 231, 622, 178, 100, 224, 713, 405, 473, 127, 130, 699, 211, 14, 186, 40, 740, 615, 25, 187, 859, 731, 235, 626, 832, 505, 33, 451, 903, 425, 205, 723, 476, 634, 545, 852, 449, 95, 901, 137, 85, 886, 679, 702, 640, 168, 665, 314, 667, 792, 432, 537, 396, 209, 120, 406, 813, 724, 241, 698, 766, 573, 558, 77, 291, 475, 575, 560, 840, 196, 104, 843, 263, 74, 715, 524, 646, 652, 831, 708, 642, 876, 861, 83, 79, 200, 845, 32, 578, 171, 598, 236, 213, 334, 786, 812, 428, 118, 356, 848, 730, 743, 262, 307, 386, 31, 897, 23, 351, 500, 320, 373, 43, 600, 426, 325, 479, 364, 387, 481, 350, 658, 539, 587, 842, 161, 616, 472, 163, 529, 264, 770, 590, 696, 466, 550, 877, 182, 97, 781, 204, 631, 249, 93, 548, 272, 328, 610, 45, 114, 357, 765, 735, 237, 64, 847, 315, 105, 57, 559, 17, 372, 131, 822, 339, 516, 569, 584, 552, 342, 176, 899, 242, 7, 117, 201, 536, 162, 515, 207, 113, 50, 541, 633, 688, 780, 348, 645, 69, 88, 523, 310, 776, 199, 784, 455, 764, 60, 48, 416, 803, 277, 892, 809, 52, 768, 716, 298, 407, 413, 227, 888, 160, 94, 648, 808, 701, 619, 837, 718, 895, 913, 785, 889, 865, 355, 219, 855, 91, 294, 225, 502, 151, 56, 245, 329, 907, 112, 627, 119, 346, 121, 553, 891, 439, 106, 149, 902, 306, 454, 172, 148, 639, 556, 850, 286, 663, 193, 273, 909, 462, 494, 194, 59, 382, 158, 742, 331, 316, 27, 305, 577, 474, 562, 210, 282, 318, 856, 99, 285, 261, 252, 401, 511, 910, 829, 61, 140, 276, 799, 659, 13, 734, 269, 591, 604, 39, 595, 771, 179, 217, 846, 736, 284, 173, 714, 517, 28, 906, 135, 692, 551, 188, 49, 54, 693, 435, 354, 256, 110, 38, 579, 274, 816, 503, 177, 681, 810, 10, 447, 599, 289, 911, 752, 326, 894, 744, 21, 549, 129, 303, 547, 484, 403, 583, 647, 596, 661, 244, 206, 498, 654, 317, 487, 908, 489, 390, 107, 806, 834, 446, 478, 872, 353, 791, 202, 280, 109, 341, 459, 817, 55, 745, 751, 465, 868, 437, 89, 883, 255, 755, 543, 300, 685, 710, 344, 898, 453, 412, 62, 617, 814, 756, 789, 417, 761, 134, 866, 230, 754, 128, 580, 208, 29, 542, 332, 880, 65, 361, 102, 47, 170, 783, 470, 767, 220, 126, 410, 495, 504, 377, 239, 327, 419, 461, 395, 490, 705, 0, 796, 246, 343, 41, 295, 142, 191, 772, 80, 408, 72, 749, 717, 546, 893, 738, 301, 860, 694, 676, 156, 441, 499, 833, 165, 67, 340, 1, 138, 270, 707, 673, 379, 145, 878, 257, 905, 746, 440, 904, 157, 58, 16, 374, 835, 777, 430, 528, 857, 192, 513, 20, 330, 63, 773, 248, 122, 683, 397, 887, 22, 729, 292, 51, 788, 594, 174, 418, 797, 250, 753, 854, 414, 815, 477, 656, 376, 141, 574, 266, 540, 143, 793, 873, 830, 682, 501, 155, 758, 254, 133, 144, 44, 308, 805, 674, 37, 621, 614, 324, 238, 388, 609, 841, 763, 218, 671, 635, 531, 360, 275, 147, 153, 24, 11, 532, 700, 75, 86, 534, 226, 336, 535, 214, 544, 76, 739, 482, 572, 450, 92, 436, 825, 571, 864, 333, 18, 538, 411, 636, 30, 689, 398, 101, 34, 695, 800, 493, 82, 322, 35, 720, 381, 443, 722, 691, 844, 427, 391, 166, 836, 290, 625, 260, 319, 223, 827, 78, 71, 335, 42, 620, 637, 2, 309, 778, 36, 180, 392, 9, 680, 154, 557, 660, 672, 185, 146, 675, 483, 3, 198, 415, 839, 871, 670, 522, 240, 363, 555, 628, 139, 384, 229, 779, 759, 649, 826, 81, 228, 125, 267, 623, 488, 496, 593, 650, 393, 215, 431, 368, 150, 73, 358, 6, 181, 585, 703, 221, 389, 5, 297, 103, 400, 111, 464, 849, 53, 492, 795, 347, 690, 607, 820, 422, 96, 287, 380, 638, 189, 471, 662, 311, 371, 520, 167, 589, 664, 420, 741, 313, 281, 798, 586, 296, 175, 233, 678, 563, 601, 726, 232, 421, 506, 870, 108, 345, 582, 136, 721, 881, 592, 807, 124, 491, 719, 605, 271, 588, 885, 533, 687, 197, 657, 737, 530, 90, 712, 457, 576, 115, 518, 706, 337, 684, 279, 643, 890, 655, 434, 452, 365, 912, 641, 253, 853, 733, 570, 265, 725, 896, 383, 212, 480, 87, 874, 375, 651, 774, 458, 567, 824, 268, 312, 525, 606, 519, 467, 818, 19, 618, 288, 804, 469, 602, 359, 666, 512, 561, 709, 438, 369, 370, 26, 251, 68, 508, 321, 445, 697, 323, 811, 70, 597, 863, 762, 564, 732, 711, 234, 632, 460, 46, 184, 195, 352, 668, 869, 790, 402, 243, 566, 485, 882, 554, 12, 293, 624, 442, 299, 603, 686, 851, 302, 823, 611, 821, 222, 858, 677, 568, 8, 394, 787, 782, 378, 521, 169, 152, 116, 84, 875, 444, 247, 433, 653, 132, 278, 399, 760, 367, 728, 527, 66, 463, 581, 4, 747, 409, 216, 362, 304, 704, 349, 879, 385, 613, 748, 862, 164, 123, 794, 429, 565, 507, 802, 190, 750, 757, 366, 456, 448, 838}

    Returns: {1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1 }

  46. 860

    {470, 158, 782, 134, 290, 113, 658, 265, 257, 243, 374, 475, 187, 242, 353, 720, 82, 588, 393, 564, 94, 709, 351, 541, 794, 171, 55, 307, 242, 22, 576, 350, 92, 445, 192, 374, 60, 382, 806, 745, 161, 36, 433, 348, 117, 244, 342, 133, 79, 846, 299, 769, 786, 318, 397, 27, 631, 491, 193, 530, 197, 764, 247, 21, 252, 570, 473, 664, 563, 411, 639, 382, 473, 599, 184, 672, 100, 432, 467, 622, 122, 576, 218, 531, 647, 80, 92, 250, 536, 1, 170, 504, 547, 721, 478, 110, 312, 261, 191, 30, 249, 845, 613, 472, 545, 749, 219, 118, 303, 518, 86, 495, 631, 255, 706, 725, 747, 618, 439, 602, 801, 257, 155, 40, 539, 175, 116, 607, 381, 169, 613, 441, 584, 311, 108, 306, 2, 679, 117, 581, 517, 496, 130, 713, 778, 728, 826, 660, 561, 392, 725, 847, 693, 641, 504, 657, 850, 114, 274, 6, 376, 832, 703, 858, 258, 562, 790, 583, 836, 69, 308, 349, 246, 529, 773, 342, 750, 360, 819, 498, 337, 631, 149, 435, 815, 821, 262, 153, 378, 444, 822, 850, 696, 142, 598, 617, 124, 213, 610, 376, 228, 822, 603, 4, 490, 850, 122, 717, 429, 114, 391, 594, 401, 132, 652, 486, 137, 299, 171, 377, 537, 189, 367, 426, 154, 854, 400, 691, 93, 522, 793, 453, 16, 305, 607, 482, 167, 744, 445, 642, 11, 556, 33, 678, 485, 269, 794, 477, 557, 750, 111, 512, 441, 527, 448, 333, 153, 308, 706, 301, 35, 813, 206, 514, 336, 635, 317, 827, 579, 633, 553, 46, 291, 515, 448, 138, 169, 539, 80, 245, 646, 555, 56, 321, 375, 545, 286, 476, 123, 318, 267, 840, 616, 397, 63, 91, 238, 162, 823, 149, 573, 50, 736, 834, 736, 779, 362, 630, 201, 671, 756, 619, 234, 726, 185, 24, 521, 58, 280, 276, 369, 704, 748, 185, 364, 464, 54, 558, 519, 313, 582, 317, 223, 204, 661, 492, 504, 507, 721, 222, 704, 700, 236, 245, 665, 789, 472, 644, 451, 730, 61, 625, 326, 719, 57, 253, 736, 100, 76, 401, 738, 509, 197, 522, 169, 602, 388, 407, 32, 182, 681, 818, 514, 13, 735, 302, 424, 842, 673, 618, 765, 837, 857, 62, 450, 363, 482, 686, 414, 805, 394, 541, 713, 679, 490, 110, 524, 737, 263, 346, 361, 568, 420, 687, 457, 160, 228, 136, 845, 370, 283, 506, 307, 469, 60, 556, 659, 657, 604, 118, 202, 749, 454, 32, 493, 459, 612, 583, 219, 572, 746, 159, 202, 634, 723, 622, 225, 293, 42, 698, 455, 835, 658, 351, 243, 705, 359, 297, 811, 77, 572, 565, 402, 412, 141, 46, 550, 544, 79, 130, 742, 211, 424, 20, 259, 200, 858, 828, 43, 667, 700, 78, 552, 109, 412, 389, 422, 802, 323, 248, 760, 586, 671, 221, 217, 659, 294, 834, 672, 799, 820, 526, 289, 124, 194, 97, 420, 209, 349, 122, 511, 68, 430, 409, 380, 586, 535, 152, 575, 437, 391, 17, 812, 208, 635, 40, 643, 582, 831, 95, 398, 567, 266, 526, 161, 575, 728, 215, 588, 774, 222, 692, 529, 702, 261, 797, 335, 837, 306, 178, 239, 697, 707, 139, 210, 208, 533, 505, 409, 502, 198, 91, 744, 513, 770, 393, 616, 295, 796, 791, 408, 36, 371, 207, 497, 409, 145, 493, 824, 148, 475, 502, 512, 594, 708, 611, 239, 549, 183, 159, 481, 18, 419, 521, 688, 686, 755, 742, 497, 668, 817, 5, 378, 265, 609, 270, 129, 715, 248, 173, 68, 478, 678, 101, 444, 329, 2, 641, 848, 39, 577, 390, 851, 45, 136, 776, 771, 104, 270, 91, 674, 210, 329, 51, 655, 420, 726, 621, 675, 505, 246, 179, 653, 152, 562, 542, 601, 265, 146, 34, 427, 509, 177, 263, 380, 763, 230, 186, 710, 53, 838, 415, 713, 642, 637, 822, 711, 314, 614, 663, 87, 410, 111, 371, 701, 457, 463, 819, 680, 823, 128, 8, 698, 532, 324, 654, 566, 640, 308, 210, 630, 791, 324, 676, 497, 793, 412, 151, 815, 248, 85, 288, 279, 784, 816, 705, 846, 81, 637, 419, 227, 264, 154, 67, 181, 22, 108, 626, 523, 642, 98, 575, 116, 555, 826, 134, 324, 186, 62, 177, 537, 567, 653, 496, 724, 157, 138, 793, 753, 72, 15, 718, 167, 277, 748, 226, 693, 511, 838, 94, 828, 854, 459, 63, 479, 268, 720, 668, 121, 599, 74, 237, 573, 22, 2, 488, 836, 226, 851, 177, 156, 456, 365, 171, 582, 88, 519, 800, 309, 190, 360, 473, 652, 734, 521, 446, 812, 665, 547, 602, 400, 90, 441, 295, 315, 635, 487, 563, 145, 823, 844, 636, 568, 775, 625, 330, 833, 529, 71, 731, 762, 216, 534, 857, 140, 288, 322, 645, 139, 768, 520, 126, 522, 117, 520, 312, 206, 235, 276, 519, 752, 148, 65, 39, 229, 71, 807, 16, 722, 587, 768, 481, 350, 282, 788, 212, 620, 647, 181, 836, 402, 847, 436, 63, 105, 72, 208, 740, 559, 755, 4, 738, 835, 477, 576, 845, 453, 48, 840, 442, 199, 293, 388, 600, 803, 339, 211, 174, 355, 289, 36, 651, 176, 6, 204, 649, 730, 217, 81, 513, 341, 104, 800, 508, 393, 266, 708, 746, 591, 624, 640, 349, 675, 812, 578, 617, 408, 139, 607, 203, 438, 832, 254, 634, 311, 465, 626, 350, 24, 689, 814, 241, 644, 745, 195, 193, 725, 520, 837, 852, 130, 366, 803, 252, 121, 821, 387, 484, 267, 209, 209, 811, 594, 59, 275, 799, 787, 816, 132, 560, 147, 479, 476, 858, 615, 506, 182, 56, 490, 170, 313, 34, 216, 112, 679, 47, 813, 60, 391, 258, 854, 686, 218, 342, 432, 367, 84, 192, 660, 38, 127, 214, 819, 678, 94, 135, 617, 712, 573, 343, 544, 147, 29, 369, 766, 669, 620, 102, 732, 728, 449, 721, 450, 83, 286, 707, 195, 0, 447, 589, 676, 228, 372, 513, 269, 17, 767, 258, 824, 556, 56, 303, 273, 432, 374, 491, 565, 627, 88, 84, 532, 709, 554, 118, 70, 614, 625, 724, 152, 401, 163, 304, 305, 95, 468, 125, 666, 506, 52, 280, 345, 638, 229, 45, 580, 745, 446, 770, 545, 656, 735, 287, 193, 805, 842, 838, 328, 133, 554, 323, 83, 829, 19, 355, 732, 533, 404, 585, 511, 439, 580, 175, 789, 334, 633, 298, 146, 738, 131, 30, 355, 402, 483, 392, 256, 244, 252, 137, 214, 719, 792, 739, 694, 15, 684, 286, 460, 644, 691, 665, 241, 586, 112, 623, 77, 771, 569, 400, 742, 723, 706, 481, 751, 98, 205, 643, 384, 333, 269, 462, 570, 465, 363, 353, 397, 20, 241, 372, 732, 828, 75, 192, 1, 740, 649, 166, 285, 112, 125, 856, 385, 182, 191, 799, 534, 274, 404, 683, 87, 467, 242, 64, 144, 214, 449, 600, 99, 298, 189, 503, 145, 592, 200, 554, 820, 21, 720, 766, 660, 95, 765, 9, 585, 702, 615, 701, 589, 328, 609, 395, 598, 567, 762, 710, 587, 646, 537, 632, 297, 183, 71, 282, 657, 69, 499, 190, 722, 277, 288, 466, 144, 675, 206, 855, 212, 180, 618, 814, 336, 111, 842, 362, 782, 163, 314, 563, 613, 216, 119, 311, 225, 372, 717, 766, 462, 849, 608, 404, 173, 13, 525, 849, 508, 50, 260, 167, 461, 106, 194, 395, 442, 486, 74, 730, 813, 383, 61, 800, 802, 664, 43, 170, 818, 475, 438, 844, 750, 3, 847, 833, 124, 343, 535, 199, 264, 831, 630, 444, 256, 361, 310, 790, 28, 78, 160, 1, 368, 243, 75, 528, 496, 626, 348, 456, 815, 524, 57, 387, 148, 609}

    {629, 39, 296, 543, 240, 832, 98, 153, 378, 33, 136, 479, 413, 9, 196, 415, 596, 472, 510, 810, 247, 231, 220, 389, 500, 806, 387, 488, 195, 53, 16, 369, 696, 26, 715, 12, 110, 254, 643, 267, 105, 780, 383, 48, 24, 141, 719, 677, 293, 540, 272, 406, 442, 262, 438, 434, 787, 287, 135, 79, 638, 165, 544, 90, 119, 553, 515, 610, 433, 327, 142, 51, 390, 612, 19, 419, 702, 75, 184, 825, 151, 541, 601, 574, 331, 255, 751, 662, 634, 677, 658, 744, 399, 255, 285, 27, 849, 348, 809, 584, 231, 600, 370, 779, 238, 852, 283, 549, 853, 443, 414, 641, 50, 275, 696, 471, 795, 621, 650, 458, 840, 662, 281, 187, 524, 839, 525, 85, 403, 279, 345, 174, 831, 518, 711, 716, 199, 43, 683, 319, 804, 669, 322, 773, 565, 234, 405, 0, 781, 416, 689, 525, 754, 156, 272, 127, 353, 363, 33, 810, 335, 386, 808, 724, 87, 107, 650, 143, 797, 515, 121, 109, 103, 296, 168, 523, 727, 783, 131, 772, 677, 102, 577, 125, 388, 733, 194, 135, 250, 3, 667, 47, 352, 605, 357, 249, 710, 596, 173, 346, 734, 746, 321, 377, 70, 339, 126, 253, 572, 639, 509, 690, 49, 390, 648, 284, 435, 559, 848, 701, 558, 240, 429, 482, 763, 179, 403, 12, 645, 428, 260, 595, 326, 53, 539, 220, 498, 689, 297, 425, 325, 375, 368, 107, 271, 466, 533, 762, 126, 253, 585, 172, 820, 68, 99, 507, 754, 294, 455, 357, 159, 512, 81, 680, 785, 5, 731, 97, 547, 818, 629, 399, 477, 574, 235, 358, 814, 484, 580, 65, 574, 408, 411, 277, 606, 300, 606, 102, 761, 810, 373, 584, 758, 808, 147, 653, 96, 670, 761, 14, 165, 251, 726, 72, 20, 96, 67, 776, 143, 715, 120, 398, 474, 82, 55, 516, 552, 120, 232, 629, 714, 290, 366, 682, 839, 231, 410, 230, 639, 386, 377, 562, 844, 346, 843, 714, 28, 246, 347, 315, 215, 224, 830, 527, 430, 160, 300, 589, 373, 30, 386, 178, 316, 59, 775, 344, 499, 466, 839, 21, 817, 429, 492, 848, 570, 217, 263, 501, 688, 323, 172, 604, 792, 166, 316, 463, 590, 790, 458, 203, 188, 161, 777, 319, 364, 142, 225, 329, 181, 825, 418, 757, 376, 454, 851, 434, 703, 741, 58, 500, 767, 606, 778, 778, 339, 421, 560, 221, 461, 25, 797, 302, 11, 104, 27, 636, 423, 783, 633, 821, 552, 354, 403, 227, 804, 268, 551, 11, 739, 176, 501, 608, 749, 809, 430, 327, 220, 150, 830, 632, 590, 52, 115, 428, 368, 382, 66, 101, 284, 501, 418, 687, 611, 786, 502, 772, 385, 829, 150, 456, 735, 48, 751, 213, 826, 436, 201, 717, 128, 144, 651, 597, 852, 716, 683, 316, 131, 737, 795, 10, 318, 453, 279, 764, 458, 469, 674, 546, 93, 310, 238, 566, 690, 670, 760, 226, 127, 767, 306, 557, 268, 494, 143, 86, 855, 624, 785, 239, 550, 535, 176, 426, 517, 384, 569, 237, 198, 301, 743, 424, 211, 184, 278, 558, 587, 599, 398, 240, 174, 798, 648, 789, 782, 452, 340, 219, 500, 31, 682, 843, 31, 5, 384, 235, 370, 571, 773, 233, 414, 44, 806, 187, 299, 623, 550, 151, 260, 305, 168, 232, 483, 555, 825, 729, 35, 681, 474, 748, 352, 364, 856, 244, 546, 3, 433, 224, 427, 733, 155, 712, 123, 115, 727, 281, 597, 648, 855, 654, 9, 761, 465, 229, 140, 271, 89, 129, 362, 593, 314, 158, 70, 859, 236, 445, 495, 222, 731, 507, 428, 207, 676, 356, 527, 338, 88, 315, 405, 423, 480, 197, 548, 25, 776, 759, 835, 687, 332, 17, 218, 739, 333, 591, 492, 105, 42, 834, 41, 436, 233, 443, 685, 418, 859, 756, 503, 757, 526, 451, 670, 379, 100, 540, 204, 612, 422, 407, 590, 292, 164, 620, 798, 446, 769, 566, 309, 47, 343, 518, 462, 668, 381, 115, 64, 604, 794, 757, 805, 489, 548, 336, 652, 383, 335, 149, 712, 616, 157, 510, 756, 578, 808, 207, 593, 256, 753, 759, 188, 227, 530, 645, 78, 272, 654, 480, 579, 295, 455, 250, 396, 770, 8, 551, 499, 807, 771, 487, 796, 592, 361, 285, 769, 109, 413, 708, 325, 786, 14, 758, 798, 542, 461, 296, 46, 603, 517, 536, 485, 841, 627, 549, 93, 411, 841, 807, 695, 347, 846, 44, 684, 425, 785, 413, 221, 666, 830, 325, 283, 827, 494, 478, 495, 628, 423, 198, 598, 12, 707, 273, 4, 84, 233, 83, 334, 37, 183, 330, 366, 583, 649, 673, 486, 49, 96, 379, 7, 697, 15, 280, 234, 123, 59, 833, 340, 73, 661, 89, 141, 718, 202, 42, 291, 392, 452, 680, 662, 158, 628, 344, 647, 464, 646, 137, 351, 516, 132, 843, 788, 331, 671, 605, 356, 189, 494, 610, 113, 155, 483, 389, 596, 31, 249, 54, 638, 614, 32, 784, 655, 448, 86, 856, 784, 213, 485, 66, 528, 546, 114, 560, 471, 650, 357, 365, 663, 292, 763, 487, 278, 261, 656, 259, 107, 530, 120, 341, 273, 196, 619, 779, 603, 164, 359, 212, 367, 760, 168, 399, 801, 673, 597, 503, 134, 817, 803, 223, 191, 435, 791, 468, 532, 595, 310, 716, 41, 493, 10, 709, 780, 99, 699, 621, 699, 313, 759, 615, 443, 365, 140, 237, 417, 559, 553, 6, 38, 451, 421, 754, 264, 531, 427, 281, 287, 804, 538, 358, 338, 23, 682, 703, 186, 581, 62, 381, 289, 508, 347, 640, 251, 774, 752, 447, 780, 150, 787, 488, 536, 463, 747, 327, 65, 18, 113, 405, 416, 704, 284, 196, 681, 434, 394, 774, 591, 334, 41, 223, 684, 394, 0, 470, 561, 57, 783, 802, 422, 317, 829, 271, 464, 35, 691, 302, 577, 359, 514, 40, 857, 320, 853, 251, 13, 619, 23, 459, 76, 356, 568, 571, 440, 781, 740, 73, 14, 447, 827, 337, 534, 203, 319, 753, 108, 694, 622, 663, 538, 338, 304, 322, 106, 431, 764, 561, 179, 768, 655, 733, 245, 608, 312, 723, 685, 90, 188, 165, 666, 711, 77, 278, 379, 415, 853, 669, 698, 714, 697, 674, 841, 592, 54, 298, 588, 743, 154, 628, 200, 371, 734, 452, 449, 103, 52, 747, 69, 247, 467, 321, 129, 796, 705, 406, 80, 755, 275, 290, 421, 7, 417, 425, 505, 659, 637, 743, 624, 700, 66, 180, 651, 44, 138, 557, 737, 396, 777, 146, 636, 341, 548, 375, 395, 775, 304, 307, 262, 595, 175, 380, 667, 259, 89, 128, 326, 201, 824, 410, 352, 18, 431, 692, 605, 103, 431, 777, 470, 469, 571, 457, 484, 82, 564, 578, 67, 344, 294, 276, 337, 101, 579, 270, 859, 76, 266, 695, 551, 795, 510, 489, 627, 291, 51, 516, 816, 437, 440, 765, 407, 741, 106, 543, 331, 385, 450, 623, 61, 373, 693, 303, 300, 49, 540, 792, 190, 92, 163, 440, 26, 205, 809, 301, 460, 23, 330, 38, 309, 19, 292, 162, 528, 752, 230, 345, 26, 354, 354, 164, 360, 531, 332, 781, 116, 55, 664, 205, 468, 601, 688, 439, 224, 416, 119, 593, 25, 406, 37, 166, 718, 64, 10, 320, 632, 180, 358, 34, 426, 97, 727, 29, 29, 178, 282, 254, 729, 480, 332, 661, 396, 476, 758, 772, 543, 328, 564, 73, 157, 454, 437, 656, 172, 320, 474, 538, 741, 729, 811, 8, 417, 695, 85, 523, 672, 690, 722, 694, 162, 542, 74, 236, 28, 801, 7, 156, 611, 581, 489, 37, 471, 788, 692, 133, 274, 498, 45, 685, 232, 257, 340, 491, 58, 699, 460, 185, 215, 569}

    Returns: {1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1 }

  47. 912

    {172, 542, 890, 778, 121, 73, 433, 798, 489, 651, 626, 355, 621, 348, 645, 332, 796, 365, 782, 307, 394, 784, 290, 752, 491, 535, 419, 210, 792, 491, 577, 41, 82, 621, 547, 108, 806, 506, 209, 88, 686, 192, 287, 330, 41, 333, 5, 333, 135, 284, 811, 268, 128, 802, 36, 408, 418, 44, 588, 168, 312, 744, 760, 243, 202, 799, 332, 96, 105, 137, 192, 258, 190, 278, 171, 687, 209, 893, 93, 317, 760, 870, 450, 506, 446, 806, 20, 73, 473, 695, 769, 107, 146, 609, 763, 366, 747, 511, 434, 229, 482, 181, 514, 781, 62, 605, 256, 107, 215, 400, 118, 16, 804, 752, 529, 883, 425, 214, 313, 807, 869, 739, 78, 591, 181, 464, 129, 703, 262, 327, 447, 591, 144, 542, 60, 266, 342, 225, 738, 864, 539, 81, 55, 426, 622, 838, 413, 338, 665, 774, 821, 381, 505, 648, 268, 285, 827, 319, 736, 907, 822, 83, 585, 109, 855, 249, 38, 886, 564, 108, 428, 805, 528, 109, 48, 197, 845, 372, 142, 42, 457, 697, 804, 810, 219, 93, 543, 690, 493, 664, 888, 228, 376, 504, 89, 832, 477, 586, 4, 252, 43, 816, 39, 862, 294, 595, 376, 707, 624, 321, 366, 257, 305, 555, 148, 289, 890, 544, 80, 740, 858, 234, 95, 398, 6, 386, 293, 25, 684, 286, 51, 840, 563, 803, 34, 526, 12, 185, 253, 688, 879, 427, 832, 516, 657, 180, 871, 308, 666, 353, 741, 166, 162, 699, 466, 720, 292, 255, 133, 627, 120, 587, 379, 500, 134, 884, 512, 708, 651, 776, 687, 712, 579, 897, 82, 233, 668, 276, 458, 437, 559, 435, 357, 160, 625, 864, 214, 4, 414, 747, 574, 188, 802, 718, 297, 24, 535, 52, 378, 389, 205, 50, 883, 347, 523, 128, 199, 182, 37, 130, 338, 208, 309, 441, 594, 342, 562, 465, 745, 518, 52, 194, 745, 695, 67, 714, 555, 413, 237, 242, 667, 104, 174, 393, 341, 251, 698, 352, 7, 296, 642, 503, 3, 675, 261, 80, 607, 279, 265, 445, 478, 584, 669, 857, 59, 903, 219, 715, 717, 560, 474, 783, 565, 283, 864, 882, 31, 217, 83, 858, 633, 725, 171, 763, 484, 642, 682, 863, 28, 509, 322, 156, 416, 31, 247, 845, 459, 629, 807, 743, 448, 559, 425, 711, 636, 903, 410, 567, 277, 613, 712, 140, 301, 541, 223, 321, 654, 564, 98, 191, 424, 605, 417, 227, 715, 500, 828, 449, 72, 552, 105, 798, 853, 102, 760, 270, 905, 432, 87, 293, 633, 746, 737, 658, 596, 284, 55, 701, 814, 38, 58, 863, 315, 713, 624, 410, 789, 576, 197, 90, 462, 904, 100, 480, 725, 136, 802, 734, 445, 332, 464, 656, 898, 16, 773, 589, 8, 91, 304, 249, 436, 352, 190, 161, 634, 51, 519, 27, 329, 14, 45, 409, 614, 241, 136, 32, 483, 619, 577, 483, 324, 259, 871, 189, 81, 270, 250, 517, 488, 200, 443, 345, 808, 315, 360, 63, 174, 896, 252, 840, 238, 781, 728, 716, 379, 835, 435, 885, 740, 897, 679, 250, 854, 0, 795, 476, 101, 545, 671, 574, 880, 47, 285, 291, 793, 467, 154, 660, 108, 129, 542, 721, 307, 844, 640, 794, 403, 728, 325, 424, 13, 127, 875, 650, 751, 97, 568, 844, 20, 76, 800, 273, 140, 910, 478, 618, 899, 658, 479, 2, 202, 7, 585, 297, 510, 378, 475, 783, 582, 219, 288, 4, 889, 472, 412, 706, 511, 88, 627, 132, 33, 819, 448, 415, 269, 657, 124, 44, 373, 111, 73, 306, 775, 596, 302, 590, 896, 568, 757, 256, 130, 474, 657, 575, 695, 358, 738, 358, 609, 761, 307, 71, 138, 362, 545, 95, 77, 650, 447, 275, 139, 795, 125, 335, 646, 260, 278, 212, 284, 697, 456, 411, 476, 739, 61, 274, 381, 669, 415, 771, 167, 902, 895, 513, 519, 382, 860, 274, 543, 528, 703, 534, 127, 601, 393, 649, 867, 673, 839, 467, 793, 577, 874, 259, 56, 647, 696, 192, 10, 422, 218, 831, 604, 309, 727, 252, 180, 37, 433, 614, 282, 122, 397, 669, 764, 36, 438, 578, 75, 836, 676, 77, 365, 398, 220, 670, 427, 709, 494, 427, 452, 402, 289, 526, 58, 35, 306, 756, 365, 798, 403, 444, 56, 855, 128, 100, 311, 364, 66, 379, 881, 111, 690, 811, 79, 544, 397, 496, 857, 540, 713, 513, 841, 567, 485, 733, 382, 679, 188, 490, 764, 637, 175, 146, 191, 56, 785, 199, 883, 527, 152, 18, 383, 632, 211, 70, 755, 256, 282, 543, 308, 818, 517, 602, 401, 875, 892, 629, 827, 181, 537, 375, 298, 903, 724, 888, 131, 815, 490, 582, 106, 860, 732, 876, 84, 748, 27, 240, 713, 19, 881, 850, 65, 604, 360, 886, 28, 146, 823, 836, 239, 911, 404, 221, 102, 398, 223, 776, 279, 861, 203, 271, 546, 224, 539, 298, 83, 516, 753, 574, 822, 76, 698, 600, 97, 492, 500, 296, 738, 10, 707, 700, 297, 863, 532, 249, 221, 421, 805, 584, 22, 50, 502, 649, 791, 401, 303, 197, 803, 18, 648, 842, 722, 906, 254, 483, 240, 817, 556, 579, 704, 496, 667, 158, 86, 407, 338, 210, 541, 238, 32, 615, 351, 201, 536, 753, 498, 240, 875, 110, 437, 37, 328, 49, 506, 308, 705, 381, 672, 562, 551, 640, 526, 824, 678, 388, 893, 176, 349, 861, 814, 52, 260, 817, 345, 78, 243, 606, 187, 74, 133, 511, 109, 843, 670, 13, 556, 676, 216, 458, 11, 509, 452, 446, 616, 775, 213, 369, 428, 610, 30, 701, 810, 910, 637, 534, 741, 733, 780, 324, 508, 227, 262, 409, 161, 230, 363, 312, 677, 789, 344, 25, 371, 464, 305, 754, 865, 674, 665, 231, 448, 24, 142, 510, 870, 547, 153, 106, 86, 313, 540, 862, 321, 544, 331, 111, 502, 846, 214, 757, 885, 840, 636, 572, 777, 835, 773, 721, 110, 383, 561, 234, 689, 824, 222, 176, 824, 488, 89, 708, 6, 98, 882, 247, 675, 742, 763, 115, 385, 253, 8, 895, 690, 420, 157, 619, 279, 656, 505, 27, 336, 182, 84, 296, 887, 446, 23, 384, 659, 144, 625, 123, 175, 548, 603, 850, 2, 445, 555, 717, 894, 639, 451, 622, 454, 170, 814, 367, 619, 675, 801, 300, 663, 191, 662, 807, 232, 239, 69, 578, 51, 484, 290, 221, 641, 870, 729, 75, 404, 740, 670, 762, 395, 856, 838, 617, 99, 756, 726, 597, 208, 609, 367, 533, 773, 282, 731, 731, 729, 777, 861, 467, 884, 559, 674, 589, 84, 540, 6, 648, 34, 545, 468, 62, 193, 644, 443, 274, 895, 653, 335, 548, 780, 699, 750, 473, 236, 232, 384, 796, 255, 753, 163, 586, 764, 750, 421, 67, 825, 387, 607, 64, 161, 53, 395, 520, 653, 615, 209, 263, 751, 318, 360, 195, 195, 470, 168, 393, 389, 64, 718, 848, 431, 887, 769, 664, 280, 805, 21, 361, 588, 390, 243, 768, 819, 473, 363, 899, 821, 728, 242, 77, 754, 270, 907, 228, 558, 315, 106, 497, 187, 502, 137, 849, 872, 201, 459, 784, 60, 314, 390, 768, 546, 856, 580, 116, 694, 519, 906, 0, 587, 204, 46, 707, 286, 732, 722, 342, 731, 529, 775, 368, 281, 480, 631, 371, 466, 843, 76, 857, 305, 490, 584, 434, 481, 114, 118, 167, 909, 655, 36, 22, 808, 884, 259, 35, 100, 826, 26, 777, 498, 177, 355, 892, 478, 213, 269, 112, 762, 9, 302, 215, 851, 855, 89, 428, 7, 880, 389, 353, 125, 5, 439, 797, 3, 682, 908, 705, 554, 868, 579, 395, 34, 218, 532, 496, 61, 704, 354, 634, 452, 659, 818, 691, 104, 622, 343, 665, 469, 329, 159, 53, 680, 104, 281, 470, 656, 603, 97, 724, 316, 615, 522, 112, 344, 582, 38, 842, 263, 432, 465, 654, 722, 324, 247, 886, 795, 744, 341, 268, 623, 872, 92, 725, 320, 164, 287, 205, 126, 860, 58, 212, 170, 411, 347, 889, 911, 110, 273, 827, 782, 486, 91, 242, 258, 495, 660, 865, 848, 71, 687, 10, 437, 796, 765, 521, 853, 710}

    {553, 266, 489, 845, 345, 597, 72, 737, 392, 429, 758, 405, 851, 568, 730, 839, 762, 580, 291, 554, 852, 837, 295, 766, 394, 444, 592, 685, 245, 778, 263, 339, 457, 581, 436, 635, 99, 159, 177, 515, 374, 340, 572, 643, 79, 527, 399, 655, 406, 488, 759, 894, 265, 820, 21, 339, 442, 407, 149, 462, 628, 432, 325, 349, 254, 660, 2, 266, 893, 126, 157, 458, 196, 551, 233, 508, 495, 472, 235, 15, 98, 739, 553, 189, 576, 337, 566, 311, 607, 479, 116, 144, 75, 537, 148, 593, 59, 362, 155, 539, 880, 283, 681, 815, 908, 223, 121, 891, 388, 196, 514, 87, 594, 862, 770, 215, 169, 85, 386, 287, 396, 298, 871, 694, 320, 426, 571, 339, 80, 186, 169, 715, 891, 96, 686, 517, 290, 371, 292, 867, 700, 387, 300, 637, 784, 186, 244, 151, 45, 560, 325, 337, 43, 267, 594, 521, 113, 892, 54, 288, 273, 484, 372, 357, 617, 477, 86, 25, 556, 497, 481, 328, 550, 63, 142, 833, 852, 199, 809, 820, 206, 318, 536, 368, 42, 17, 659, 402, 63, 558, 611, 518, 334, 482, 275, 709, 877, 463, 318, 780, 629, 264, 790, 536, 460, 173, 769, 475, 160, 834, 899, 847, 373, 255, 225, 185, 267, 673, 570, 312, 408, 412, 179, 213, 552, 889, 316, 702, 719, 829, 631, 711, 873, 553, 124, 122, 117, 5, 710, 887, 326, 250, 813, 716, 251, 806, 736, 823, 481, 463, 375, 346, 828, 90, 476, 314, 693, 43, 245, 630, 410, 39, 822, 865, 384, 375, 719, 183, 30, 470, 319, 359, 906, 668, 414, 882, 489, 779, 647, 623, 303, 497, 179, 549, 866, 44, 733, 136, 206, 226, 587, 9, 71, 235, 831, 693, 12, 322, 382, 404, 786, 652, 849, 879, 391, 680, 837, 163, 547, 905, 170, 45, 406, 721, 894, 152, 267, 204, 904, 299, 140, 40, 198, 888, 134, 524, 422, 454, 380, 663, 761, 853, 278, 222, 746, 723, 430, 598, 616, 563, 538, 113, 846, 700, 621, 734, 658, 642, 569, 854, 672, 879, 377, 528, 812, 699, 431, 726, 799, 187, 583, 499, 787, 320, 277, 153, 533, 825, 674, 79, 317, 265, 692, 225, 522, 23, 283, 644, 572, 787, 119, 202, 353, 507, 550, 46, 606, 356, 211, 833, 304, 706, 696, 203, 157, 160, 768, 49, 534, 850, 590, 390, 735, 834, 295, 771, 901, 730, 821, 832, 852, 295, 107, 399, 29, 12, 306, 514, 430, 787, 638, 504, 905, 351, 419, 408, 40, 684, 434, 471, 15, 224, 94, 164, 198, 204, 326, 455, 14, 449, 309, 396, 418, 114, 90, 612, 367, 333, 193, 253, 756, 614, 216, 786, 589, 697, 42, 423, 329, 487, 902, 387, 272, 155, 627, 859, 485, 859, 165, 877, 530, 69, 271, 560, 87, 876, 737, 411, 118, 245, 248, 33, 198, 524, 790, 696, 736, 881, 241, 797, 354, 74, 797, 232, 800, 494, 264, 372, 465, 310, 830, 486, 791, 783, 512, 842, 525, 196, 471, 203, 354, 671, 598, 147, 765, 184, 635, 891, 65, 890, 455, 154, 681, 238, 785, 561, 702, 294, 683, 20, 504, 68, 616, 103, 103, 201, 498, 275, 435, 348, 138, 529, 369, 816, 623, 461, 680, 352, 592, 778, 147, 48, 610, 479, 595, 828, 571, 154, 230, 742, 334, 630, 119, 417, 72, 1, 593, 678, 611, 487, 361, 212, 837, 302, 397, 150, 374, 442, 346, 748, 732, 39, 646, 638, 186, 303, 378, 741, 765, 403, 866, 759, 176, 310, 216, 364, 501, 246, 57, 472, 65, 462, 286, 113, 531, 125, 761, 328, 714, 74, 194, 143, 281, 299, 420, 552, 24, 565, 716, 190, 872, 593, 829, 150, 460, 183, 507, 420, 460, 440, 730, 613, 359, 873, 313, 900, 331, 66, 626, 868, 91, 439, 583, 720, 554, 126, 743, 115, 849, 834, 1, 759, 271, 666, 227, 632, 171, 878, 343, 257, 494, 407, 809, 145, 269, 336, 246, 143, 487, 794, 782, 714, 236, 17, 803, 258, 195, 636, 538, 356, 781, 531, 409, 135, 392, 523, 193, 123, 677, 745, 633, 826, 550, 205, 438, 174, 530, 901, 228, 792, 251, 31, 386, 327, 638, 729, 816, 652, 858, 469, 392, 691, 399, 826, 406, 499, 162, 405, 588, 482, 49, 117, 412, 846, 132, 570, 597, 723, 812, 630, 206, 220, 691, 70, 703, 143, 236, 839, 847, 755, 673, 561, 347, 235, 571, 85, 362, 189, 21, 179, 33, 902, 520, 575, 808, 172, 599, 585, 200, 576, 323, 468, 590, 150, 573, 819, 608, 486, 15, 911, 645, 184, 96, 640, 688, 653, 508, 689, 503, 898, 147, 380, 900, 710, 463, 650, 151, 683, 357, 344, 145, 153, 578, 907, 218, 634, 439, 30, 468, 605, 836, 688, 628, 530, 744, 101, 211, 518, 661, 14, 388, 645, 620, 276, 499, 838, 19, 639, 639, 720, 67, 667, 454, 341, 120, 314, 237, 537, 601, 868, 217, 909, 672, 813, 301, 679, 444, 335, 693, 23, 603, 229, 531, 869, 456, 355, 779, 326, 485, 55, 779, 754, 424, 29, 652, 141, 910, 843, 234, 456, 897, 48, 272, 471, 156, 78, 429, 770, 343, 391, 641, 746, 400, 813, 178, 705, 131, 57, 359, 11, 122, 791, 35, 606, 752, 254, 469, 651, 749, 785, 373, 625, 8, 718, 701, 564, 246, 180, 433, 727, 620, 662, 124, 173, 370, 415, 220, 800, 103, 260, 133, 801, 47, 599, 644, 54, 793, 767, 774, 17, 457, 632, 493, 743, 851, 516, 823, 364, 423, 685, 350, 358, 668, 527, 226, 138, 172, 767, 666, 749, 429, 492, 233, 706, 70, 867, 237, 451, 280, 11, 319, 94, 222, 123, 869, 790, 361, 155, 698, 608, 346, 101, 148, 811, 210, 158, 117, 231, 208, 515, 81, 292, 127, 874, 900, 438, 810, 601, 854, 149, 92, 766, 541, 474, 620, 105, 394, 546, 451, 241, 173, 294, 340, 62, 1, 655, 772, 770, 817, 311, 466, 327, 505, 885, 734, 165, 595, 758, 799, 641, 565, 592, 692, 257, 418, 704, 276, 377, 581, 549, 348, 896, 663, 611, 340, 792, 643, 116, 422, 453, 788, 440, 194, 520, 401, 115, 643, 480, 139, 417, 436, 866, 563, 363, 60, 26, 766, 178, 689, 440, 804, 330, 85, 301, 3, 207, 82, 755, 414, 229, 119, 421, 557, 600, 366, 908, 159, 200, 598, 288, 131, 231, 323, 22, 750, 47, 261, 299, 9, 628, 385, 285, 591, 385, 450, 244, 833, 168, 788, 383, 248, 13, 92, 507, 217, 317, 649, 694, 581, 618, 68, 459, 88, 831, 380, 569, 815, 789, 509, 727, 751, 447, 114, 573, 99, 396, 177, 137, 400, 749, 175, 207, 293, 549, 708, 678, 847, 492, 786, 521, 356, 156, 717, 272, 604, 183, 841, 711, 772, 334, 370, 402, 774, 184, 336, 873, 610, 50, 664, 524, 501, 566, 684, 425, 169, 538, 405, 423, 188, 351, 567, 495, 748, 141, 304, 830, 316, 129, 525, 548, 646, 322, 291, 120, 426, 164, 207, 662, 419, 69, 557, 533, 600, 41, 631, 575, 443, 442, 53, 635, 19, 46, 878, 239, 767, 461, 369, 735, 475, 68, 801, 612, 617, 261, 149, 165, 726, 94, 523, 350, 230, 758, 491, 686, 612, 901, 586, 323, 788, 441, 829, 692, 676, 134, 876, 185, 583, 337, 477, 874, 57, 95, 841, 16, 513, 18, 178, 618, 742, 818, 331, 141, 709, 522, 93, 102, 262, 32, 613, 167, 264, 848, 877, 416, 112, 450, 570, 430, 812, 525, 809, 310, 856, 413, 182, 152, 747, 647, 551, 724, 712, 289, 453, 54, 244, 441, 28, 277, 461, 566, 280, 29, 501, 40, 859, 224, 794, 909, 350, 431, 562, 661, 835, 64, 671, 735, 661, 248, 844, 449, 455, 145, 132, 130, 723, 330, 376, 374, 162, 416, 391, 158, 515, 677, 166, 166, 681, 493, 757, 512, 626, 557, 898, 0, 510, 702, 26, 719, 904, 771, 602, 61, 608, 569, 682, 370, 573, 377, 878, 368, 135, 59, 151, 453, 300, 580, 139, 599, 825, 596, 349, 121, 532, 654, 685, 830, 163, 535, 558, 820, 503, 776, 602, 66, 772, 226, 683, 624}

    Returns: {1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1 }

  48. 996

    {595, 881, 779, 919, 828, 108, 333, 642, 790, 503, 992, 453, 626, 846, 902, 774, 496, 586, 940, 251, 665, 215, 429, 586, 557, 910, 570, 833, 816, 626, 208, 974, 915, 859, 554, 336, 617, 541, 814, 180, 166, 310, 29, 188, 959, 694, 733, 631, 339, 268, 639, 911, 503, 946, 922, 589, 438, 151, 287, 856, 765, 381, 966, 200, 47, 986, 629, 689, 693, 479, 104, 924, 948, 516, 638, 102, 412, 176, 598, 8, 436, 837, 362, 935, 879, 218, 393, 880, 807, 575, 138, 424, 299, 953, 221, 475, 537, 982, 210, 162, 686, 810, 991, 379, 875, 106, 77, 916, 477, 18, 11, 560, 838, 951, 531, 474, 153, 25, 477, 698, 53, 882, 908, 430, 864, 433, 478, 841, 378, 309, 530, 981, 482, 980, 751, 151, 217, 692, 198, 242, 868, 672, 862, 687, 462, 191, 281, 593, 744, 48, 411, 156, 379, 125, 373, 211, 734, 432, 437, 424, 537, 197, 587, 856, 363, 769, 934, 987, 287, 884, 333, 34, 266, 523, 812, 313, 550, 137, 603, 329, 744, 697, 171, 759, 322, 322, 102, 295, 567, 392, 913, 823, 976, 883, 345, 729, 749, 434, 806, 200, 766, 941, 567, 625, 528, 928, 384, 339, 441, 860, 300, 761, 939, 371, 925, 23, 783, 954, 521, 717, 197, 516, 601, 103, 879, 746, 585, 440, 806, 194, 149, 494, 661, 864, 231, 915, 870, 48, 707, 971, 492, 14, 337, 607, 175, 167, 556, 901, 929, 264, 727, 859, 890, 76, 181, 213, 420, 74, 668, 72, 361, 829, 536, 342, 422, 509, 341, 38, 246, 373, 484, 785, 794, 374, 54, 819, 130, 92, 583, 137, 198, 721, 277, 506, 372, 693, 680, 785, 954, 362, 805, 688, 635, 521, 35, 20, 977, 851, 48, 629, 831, 991, 275, 914, 971, 424, 662, 375, 74, 709, 841, 303, 611, 124, 239, 66, 943, 417, 841, 658, 700, 940, 534, 522, 366, 27, 76, 761, 610, 919, 531, 672, 774, 813, 249, 514, 640, 308, 907, 283, 962, 435, 355, 886, 217, 134, 606, 190, 357, 515, 368, 939, 674, 336, 803, 707, 942, 530, 576, 283, 707, 193, 434, 576, 323, 70, 461, 487, 865, 491, 439, 37, 599, 442, 331, 267, 140, 294, 898, 959, 801, 154, 53, 567, 155, 602, 595, 452, 863, 122, 876, 796, 822, 518, 533, 741, 148, 615, 366, 845, 632, 842, 663, 575, 407, 729, 63, 585, 10, 878, 648, 873, 887, 747, 257, 667, 168, 106, 533, 443, 719, 414, 852, 767, 629, 636, 778, 664, 404, 380, 530, 637, 303, 457, 644, 412, 927, 577, 369, 101, 197, 465, 943, 228, 327, 786, 193, 643, 756, 61, 461, 24, 646, 800, 612, 931, 773, 737, 414, 568, 689, 511, 810, 467, 434, 264, 645, 962, 973, 364, 422, 933, 264, 555, 817, 219, 586, 305, 490, 518, 175, 110, 976, 692, 750, 74, 850, 496, 289, 201, 28, 502, 391, 183, 59, 336, 925, 135, 131, 959, 800, 19, 454, 59, 833, 589, 773, 35, 84, 958, 107, 556, 403, 474, 628, 579, 329, 384, 34, 944, 664, 512, 386, 180, 966, 124, 675, 269, 298, 286, 248, 243, 622, 502, 127, 471, 409, 553, 575, 926, 179, 258, 112, 109, 497, 791, 317, 909, 945, 646, 587, 217, 80, 676, 721, 110, 675, 654, 770, 970, 772, 834, 970, 225, 686, 701, 506, 817, 551, 72, 380, 325, 90, 385, 899, 155, 305, 448, 304, 208, 877, 39, 100, 963, 322, 308, 706, 376, 151, 370, 341, 734, 220, 717, 177, 695, 518, 147, 577, 398, 994, 510, 288, 713, 209, 210, 745, 107, 433, 391, 832, 676, 100, 306, 578, 580, 260, 993, 319, 755, 679, 553, 69, 947, 201, 271, 666, 989, 814, 983, 166, 335, 141, 952, 808, 201, 23, 431, 208, 879, 233, 515, 53, 23, 752, 407, 687, 448, 671, 273, 514, 835, 108, 5, 9, 760, 263, 830, 91, 894, 140, 671, 470, 858, 552, 311, 928, 246, 368, 433, 801, 199, 774, 493, 899, 224, 524, 559, 365, 869, 513, 679, 38, 384, 638, 204, 974, 517, 111, 669, 321, 795, 627, 136, 725, 22, 651, 437, 409, 751, 275, 318, 755, 25, 795, 585, 572, 735, 759, 902, 351, 40, 869, 908, 896, 539, 26, 81, 214, 987, 120, 875, 486, 743, 297, 149, 643, 648, 792, 356, 24, 135, 781, 517, 703, 941, 492, 776, 819, 444, 251, 735, 866, 128, 581, 887, 88, 651, 952, 809, 146, 609, 539, 942, 809, 323, 321, 169, 271, 691, 617, 615, 619, 690, 129, 380, 680, 459, 850, 266, 408, 966, 892, 344, 481, 2, 710, 449, 871, 186, 592, 142, 553, 256, 497, 918, 150, 960, 83, 92, 545, 187, 225, 647, 961, 797, 415, 793, 601, 431, 673, 825, 4, 268, 314, 10, 270, 159, 196, 283, 492, 543, 68, 318, 874, 849, 66, 749, 166, 228, 627, 280, 269, 83, 5, 922, 852, 929, 44, 301, 664, 141, 416, 672, 109, 325, 728, 603, 916, 598, 440, 431, 406, 185, 634, 18, 704, 930, 338, 482, 495, 376, 313, 31, 31, 742, 738, 764, 415, 853, 324, 323, 630, 275, 720, 114, 972, 160, 834, 17, 690, 362, 112, 169, 388, 677, 460, 946, 65, 195, 196, 762, 156, 18, 462, 864, 962, 509, 676, 206, 331, 320, 510, 347, 432, 235, 574, 273, 248, 274, 972, 84, 634, 791, 244, 757, 851, 846, 149, 227, 265, 436, 603, 821, 428, 457, 698, 677, 77, 500, 482, 663, 452, 170, 428, 167, 785, 709, 474, 32, 804, 612, 640, 578, 925, 958, 116, 177, 73, 312, 728, 132, 40, 494, 513, 625, 781, 545, 123, 334, 508, 894, 111, 719, 511, 648, 714, 550, 757, 770, 8, 334, 971, 128, 103, 723, 636, 750, 112, 361, 493, 109, 657, 236, 205, 662, 236, 153, 101, 178, 765, 665, 200, 19, 960, 96, 952, 406, 150, 118, 577, 158, 400, 259, 503, 31, 437, 899, 590, 190, 805, 919, 232, 843, 882, 429, 94, 984, 390, 615, 512, 255, 866, 562, 263, 191, 802, 715, 55, 427, 207, 400, 255, 507, 755, 635, 123, 852, 969, 517, 704, 41, 41, 818, 393, 957, 348, 240, 702, 692, 79, 435, 813, 559, 764, 876, 891, 858, 605, 78, 47, 54, 877, 247, 760, 531, 43, 754, 245, 179, 582, 274, 602, 357, 780, 415, 383, 773, 368, 449, 372, 207, 953, 932, 56, 399, 257, 13, 928, 723, 527, 115, 980, 289, 906, 68, 406, 551, 496, 721, 228, 938, 233, 4, 872, 893, 985, 211, 229, 636, 410, 886, 921, 30, 46, 815, 453, 889, 822, 436, 153, 265, 821, 898, 165, 19, 193, 644, 697, 633, 394, 129, 345, 70, 525, 768, 219, 934, 916, 938, 726, 817, 443, 830, 670, 294, 469, 17, 869, 20, 259, 282, 409, 592, 374, 978, 505, 161, 46, 471, 429, 328, 461, 794, 294, 772, 165, 15, 931, 411, 328, 778, 94, 782, 526, 511, 804, 685, 251, 783, 140, 89, 918, 260, 839, 220, 416, 338, 29, 357, 972, 91, 782, 479, 498, 563, 90, 843, 871, 72, 130, 597, 782, 391, 745, 679, 548, 206, 383, 556, 895, 440, 144, 254, 838, 571, 823, 861, 747, 868, 87, 142, 628, 668, 313, 81, 573, 977, 36, 268, 212, 548, 126, 850, 866, 906, 728, 16, 904, 646, 895, 239, 106, 964, 441, 941, 650, 863, 909, 233, 731, 342, 736, 397, 662, 463, 134, 13, 205, 401, 921, 123, 393, 827, 50, 3, 982, 619, 468, 994, 199, 504, 708, 714, 229, 684, 314, 148, 744, 473, 526, 633, 75, 535, 532, 152, 673, 402, 187, 566, 404, 125, 783, 490, 914, 281, 564, 212, 859, 875, 573, 158, 780, 147, 718, 373, 211, 234, 988, 473, 913, 499, 734, 232, 601, 32, 902, 139, 427, 230, 927, 694, 119, 174, 628, 644, 355, 630, 960, 301, 402, 387, 468, 15, 227, 815, 920, 956, 722, 227, 584, 49, 67, 15, 908, 265, 472, 665, 490, 927, 892, 348, 923, 27, 548, 216, 165, 881, 209, 951, 760, 102, 349, 522, 309, 359, 739, 789, 98, 386, 758, 847, 982, 671, 73, 119, 701, 428, 178, 641, 594, 255, 598, 883, 11, 867, 677, 487, 637, 105, 590, 297, 9, 66, 67, 624, 290, 700, 44, 182, 35, 469, 560, 718, 882, 403, 169, 856, 61, 383, 681, 73, 655, 365, 494, 59, 353, 608, 521, 343, 769, 606, 43, 801, 861, 634, 388, 716, 276, 252, 12, 985, 932, 445, 608, 944, 366, 617, 308, 330, 675, 401, 557, 853, 302, 29, 562, 110, 479, 180, 286, 350, 170, 181, 17, 254, 280, 758, 475, 122, 405, 63, 513, 416, 22, 78, 888, 67, 52, 809, 813, 450, 62, 410, 381, 761, 947, 507, 40, 769, 348, 457, 802, 655, 674, 162, 369, 554, 830, 378, 88, 597, 191, 965, 442, 799, 645, 5, 62, 968, 42, 483, 588, 616}

    {641, 279, 226, 24, 395, 897, 444, 198, 174, 220, 591, 450, 796, 277, 26, 912, 870, 344, 532, 878, 891, 423, 779, 973, 554, 262, 621, 367, 214, 242, 803, 95, 857, 107, 889, 885, 682, 874, 950, 847, 937, 591, 829, 71, 718, 335, 466, 21, 0, 343, 944, 678, 317, 399, 144, 451, 937, 900, 965, 240, 698, 43, 637, 987, 14, 522, 449, 262, 435, 990, 292, 225, 835, 417, 181, 38, 278, 975, 154, 426, 898, 885, 279, 581, 347, 419, 747, 609, 141, 467, 325, 115, 334, 371, 418, 829, 195, 570, 252, 766, 711, 241, 600, 642, 539, 84, 104, 21, 221, 611, 284, 28, 241, 463, 647, 273, 464, 425, 320, 172, 922, 396, 230, 360, 901, 350, 717, 743, 389, 524, 543, 21, 657, 565, 293, 572, 550, 643, 578, 956, 659, 310, 315, 775, 731, 500, 0, 936, 375, 184, 113, 468, 375, 653, 561, 566, 52, 26, 250, 2, 98, 476, 278, 877, 871, 842, 753, 447, 240, 135, 168, 285, 489, 315, 360, 818, 202, 340, 923, 528, 460, 405, 807, 238, 55, 367, 504, 680, 508, 307, 163, 88, 78, 330, 820, 6, 600, 319, 904, 523, 137, 216, 454, 767, 226, 685, 886, 848, 657, 58, 189, 826, 256, 189, 858, 118, 486, 385, 6, 564, 87, 847, 402, 51, 903, 342, 910, 776, 204, 937, 720, 669, 287, 732, 979, 740, 890, 838, 742, 758, 546, 751, 311, 587, 459, 209, 164, 865, 933, 231, 653, 535, 134, 446, 430, 80, 464, 710, 784, 332, 93, 811, 56, 46, 187, 754, 143, 547, 712, 633, 940, 963, 715, 975, 811, 164, 484, 810, 363, 495, 699, 754, 284, 344, 622, 173, 243, 989, 867, 737, 32, 246, 229, 776, 950, 666, 65, 299, 978, 247, 777, 682, 374, 115, 862, 148, 691, 460, 733, 52, 799, 661, 291, 421, 748, 745, 797, 426, 37, 458, 239, 605, 854, 620, 836, 505, 843, 622, 350, 973, 274, 992, 895, 727, 976, 222, 182, 631, 473, 730, 101, 302, 725, 186, 594, 870, 538, 788, 969, 844, 81, 75, 632, 701, 771, 915, 995, 54, 948, 365, 740, 970, 61, 248, 445, 291, 142, 596, 732, 485, 304, 743, 346, 614, 555, 885, 486, 156, 398, 580, 538, 404, 623, 735, 445, 194, 97, 786, 480, 593, 97, 388, 136, 614, 3, 691, 914, 581, 205, 824, 789, 763, 808, 224, 558, 712, 282, 525, 250, 326, 540, 938, 163, 455, 370, 447, 92, 787, 963, 346, 731, 257, 584, 58, 68, 163, 536, 387, 658, 576, 939, 226, 413, 430, 477, 900, 527, 860, 589, 705, 327, 696, 770, 262, 476, 82, 71, 549, 542, 316, 846, 488, 171, 237, 786, 129, 722, 279, 936, 296, 649, 800, 168, 51, 621, 979, 386, 12, 488, 352, 377, 975, 627, 395, 414, 42, 105, 467, 790, 442, 606, 364, 272, 324, 288, 823, 330, 890, 509, 854, 427, 716, 684, 561, 56, 459, 144, 0, 514, 868, 290, 139, 613, 317, 55, 152, 845, 685, 483, 310, 566, 799, 591, 204, 964, 827, 779, 186, 854, 873, 128, 448, 491, 417, 77, 827, 967, 89, 292, 272, 64, 295, 618, 824, 656, 607, 791, 263, 103, 967, 249, 732, 398, 346, 288, 117, 519, 469, 206, 752, 673, 202, 618, 863, 289, 286, 876, 969, 981, 71, 930, 7, 788, 705, 331, 837, 688, 756, 269, 948, 64, 349, 945, 708, 390, 499, 224, 911, 623, 750, 965, 203, 930, 989, 833, 943, 45, 986, 412, 542, 475, 421, 95, 302, 157, 669, 126, 650, 4, 223, 222, 465, 355, 792, 480, 569, 542, 85, 610, 185, 332, 498, 337, 765, 699, 659, 161, 158, 182, 694, 532, 50, 560, 299, 534, 351, 192, 533, 173, 307, 602, 917, 160, 63, 261, 34, 203, 114, 725, 515, 552, 903, 439, 980, 848, 897, 620, 891, 451, 33, 994, 332, 781, 579, 520, 126, 873, 462, 120, 935, 768, 369, 359, 590, 855, 100, 242, 212, 98, 599, 837, 454, 483, 523, 545, 51, 157, 215, 397, 349, 253, 834, 28, 501, 418, 33, 867, 188, 312, 562, 145, 565, 979, 420, 497, 652, 132, 259, 849, 47, 176, 832, 917, 139, 39, 571, 900, 872, 929, 12, 190, 611, 978, 57, 596, 133, 116, 949, 619, 493, 659, 133, 558, 608, 1, 825, 324, 961, 471, 133, 222, 281, 159, 385, 821, 564, 399, 6, 748, 588, 851, 613, 964, 716, 894, 420, 710, 951, 328, 686, 377, 401, 93, 757, 828, 551, 839, 243, 788, 150, 991, 935, 816, 924, 65, 832, 736, 267, 909, 655, 60, 528, 292, 105, 604, 82, 466, 840, 583, 501, 508, 277, 639, 143, 803, 99, 920, 831, 510, 241, 118, 957, 526, 840, 540, 981, 505, 696, 371, 42, 607, 720, 58, 984, 97, 865, 604, 108, 472, 397, 946, 811, 244, 64, 787, 117, 122, 736, 79, 689, 172, 836, 738, 223, 709, 544, 993, 176, 893, 912, 502, 171, 372, 403, 443, 739, 339, 161, 918, 658, 726, 926, 419, 446, 89, 291, 647, 853, 258, 767, 162, 702, 820, 252, 210, 740, 955, 95, 706, 86, 549, 738, 766, 794, 236, 219, 192, 723, 605, 798, 525, 881, 83, 231, 411, 816, 379, 546, 931, 949, 121, 711, 656, 70, 604, 338, 683, 408, 307, 90, 828, 418, 793, 903, 884, 464, 261, 806, 835, 704, 666, 912, 207, 44, 296, 845, 326, 500, 534, 907, 276, 793, 961, 1, 9, 638, 306, 831, 298, 284, 487, 574, 763, 907, 520, 498, 364, 421, 904, 616, 986, 2, 316, 642, 544, 992, 432, 309, 215, 932, 752, 463, 632, 695, 335, 860, 897, 795, 759, 888, 199, 14, 844, 127, 237, 507, 984, 594, 387, 99, 516, 326, 697, 722, 305, 93, 822, 771, 465, 160, 862, 599, 596, 825, 280, 741, 650, 136, 683, 360, 172, 512, 667, 25, 777, 238, 555, 297, 741, 39, 441, 245, 749, 901, 519, 569, 258, 565, 544, 271, 855, 488, 579, 684, 921, 104, 1, 660, 203, 347, 678, 145, 687, 306, 724, 11, 597, 238, 367, 547, 955, 600, 839, 86, 132, 285, 933, 245, 179, 708, 247, 668, 784, 820, 670, 377, 583, 413, 768, 549, 438, 173, 653, 36, 974, 967, 678, 439, 130, 249, 293, 75, 413, 840, 444, 244, 3, 60, 993, 654, 57, 296, 836, 572, 753, 815, 22, 942, 195, 568, 826, 499, 300, 111, 778, 546, 756, 610, 956, 361, 396, 763, 390, 60, 458, 568, 218, 905, 563, 408, 910, 724, 805, 896, 592, 117, 234, 85, 920, 235, 640, 501, 396, 700, 746, 45, 696, 557, 887, 453, 913, 177, 94, 450, 624, 425, 188, 178, 315, 561, 936, 358, 818, 358, 571, 376, 312, 147, 797, 639, 49, 394, 699, 719, 455, 127, 382, 780, 138, 192, 10, 711, 893, 613, 715, 184, 45, 923, 529, 713, 892, 282, 808, 96, 270, 86, 389, 337, 358, 796, 762, 159, 703, 422, 924, 290, 620, 950, 888, 407, 702, 955, 631, 889, 145, 519, 213, 250, 256, 654, 20, 580, 957, 883, 392, 520, 857, 185, 641, 318, 7, 826, 146, 76, 593, 484, 630, 857, 354, 819, 301, 49, 623, 777, 184, 690, 466, 790, 91, 16, 476, 261, 713, 739, 345, 537, 451, 726, 423, 119, 688, 988, 614, 382, 775, 154, 848, 455, 33, 807, 541, 30, 541, 775, 896, 478, 934, 983, 470, 616, 656, 529, 400, 730, 681, 917, 351, 746, 79, 945, 784, 96, 120, 456, 724, 381, 316, 703, 481, 131, 872, 547, 954, 343, 285, 446, 595, 82, 356, 968, 705, 183, 143, 491, 7, 57, 278, 953, 146, 485, 234, 727, 558, 174, 842, 884, 478, 712, 485, 356, 582, 30, 798, 753, 16, 183, 645, 906, 340, 472, 235, 905, 232, 124, 300, 552, 116, 425, 69, 152, 880, 253, 714, 861, 792, 812, 771, 340, 254, 874, 189, 824, 270, 218, 968, 27, 635, 626, 995, 196, 354, 977, 480, 311, 573, 524, 170, 911, 327, 609, 329, 363, 260, 706, 495, 798, 378, 529, 392, 253, 588, 69, 138, 804, 276, 990, 41, 674, 949, 85, 405, 426, 410, 582, 62, 660, 538, 563, 320, 314, 202, 321, 985, 382, 663, 764, 214, 625, 298, 506, 304, 419, 489, 370, 983, 389, 237, 748, 849, 621, 814, 359, 504, 670, 527, 958, 295, 661, 570, 584, 682, 36, 353, 730, 742, 536, 266, 87, 729, 660, 452, 267, 652, 175, 131, 155, 113, 995, 157, 569, 683, 458, 844, 905, 37, 50, 194, 681, 99, 990, 926, 880, 649, 772, 693, 341, 695, 352, 470, 8, 352, 13, 121, 812, 216, 293, 438, 667, 543, 394, 447, 395, 651, 618, 354, 272, 947, 167, 456, 762, 125, 223, 423, 319, 652, 802, 878, 540, 789, 612, 737, 221, 213, 489, 353, 988, 230, 649, 481, 624, 733, 80, 574, 303, 113, 164, 535, 456, 559, 121, 114, 787, 333, 855}

    Returns: {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0 }

  49. 828

    {362, 373, 548, 527, 85, 210, 683, 371, 114, 251, 51, 414, 776, 283, 382, 254, 230, 704, 455, 717, 178, 544, 768, 589, 242, 126, 137, 19, 504, 162, 533, 44, 283, 343, 535, 475, 448, 198, 499, 161, 113, 736, 635, 625, 7, 175, 688, 778, 4, 438, 511, 80, 818, 531, 683, 615, 202, 801, 296, 100, 51, 177, 770, 745, 160, 439, 82, 437, 244, 468, 309, 687, 479, 661, 275, 495, 241, 694, 572, 819, 314, 376, 517, 147, 428, 267, 345, 738, 420, 218, 771, 692, 358, 704, 57, 86, 770, 198, 627, 738, 701, 520, 382, 712, 643, 136, 10, 808, 395, 613, 707, 76, 77, 261, 569, 178, 320, 296, 587, 130, 276, 714, 142, 536, 369, 686, 583, 520, 609, 17, 283, 721, 646, 753, 589, 709, 273, 152, 338, 686, 693, 465, 150, 718, 90, 54, 591, 288, 777, 139, 374, 771, 369, 432, 790, 618, 403, 207, 321, 687, 369, 533, 99, 474, 488, 508, 221, 487, 144, 420, 444, 418, 12, 626, 750, 98, 774, 735, 290, 491, 244, 146, 321, 631, 612, 180, 345, 195, 229, 13, 371, 93, 428, 761, 370, 590, 690, 625, 172, 420, 273, 713, 61, 344, 667, 201, 679, 276, 465, 20, 279, 106, 127, 661, 306, 744, 751, 692, 562, 491, 70, 517, 619, 266, 784, 47, 128, 277, 527, 510, 140, 730, 195, 691, 239, 811, 200, 656, 644, 519, 696, 351, 135, 772, 482, 537, 703, 107, 356, 569, 684, 493, 496, 287, 729, 733, 52, 568, 256, 301, 732, 700, 516, 204, 350, 655, 553, 166, 776, 128, 31, 274, 137, 580, 61, 379, 24, 58, 335, 381, 24, 133, 585, 689, 522, 377, 552, 293, 615, 4, 554, 790, 25, 651, 717, 708, 125, 750, 328, 296, 352, 14, 499, 391, 358, 5, 102, 648, 93, 271, 637, 363, 35, 551, 411, 343, 760, 60, 716, 197, 710, 466, 103, 135, 3, 226, 675, 340, 173, 690, 402, 398, 219, 32, 492, 131, 81, 339, 580, 50, 119, 798, 214, 212, 450, 349, 780, 136, 506, 741, 595, 301, 699, 694, 632, 202, 116, 667, 153, 556, 265, 537, 721, 810, 340, 827, 309, 225, 711, 89, 757, 138, 3, 87, 44, 53, 256, 541, 763, 793, 210, 110, 6, 149, 750, 821, 21, 125, 295, 159, 101, 513, 384, 565, 301, 490, 682, 139, 378, 11, 748, 640, 663, 118, 683, 674, 297, 685, 85, 126, 255, 758, 505, 704, 622, 353, 780, 268, 667, 323, 20, 606, 629, 699, 465, 197, 269, 559, 433, 405, 184, 701, 146, 219, 741, 551, 574, 236, 49, 361, 755, 427, 662, 554, 761, 430, 152, 751, 299, 756, 121, 161, 435, 247, 300, 703, 602, 264, 800, 595, 227, 232, 661, 824, 292, 414, 164, 184, 718, 676, 742, 93, 58, 135, 250, 394, 352, 802, 415, 335, 400, 642, 824, 530, 336, 404, 65, 809, 711, 421, 421, 18, 359, 38, 377, 577, 95, 484, 674, 508, 257, 682, 588, 570, 675, 184, 304, 22, 174, 37, 777, 722, 546, 410, 25, 10, 427, 579, 780, 767, 11, 543, 555, 297, 801, 295, 158, 9, 10, 808, 100, 803, 227, 352, 599, 195, 75, 228, 335, 827, 705, 53, 531, 189, 451, 57, 792, 158, 148, 493, 590, 214, 95, 207, 514, 795, 458, 627, 413, 636, 447, 289, 528, 593, 67, 450, 326, 752, 526, 550, 72, 744, 27, 787, 391, 571, 800, 558, 614, 472, 183, 597, 231, 502, 820, 294, 194, 740, 287, 356, 805, 824, 606, 820, 158, 357, 647, 584, 216, 606, 40, 32, 79, 372, 646, 565, 118, 617, 130, 698, 621, 659, 325, 174, 552, 646, 50, 806, 229, 148, 189, 137, 217, 459, 521, 516, 698, 323, 25, 349, 361, 450, 23, 434, 222, 580, 511, 193, 356, 123, 238, 461, 36, 181, 644, 677, 363, 217, 116, 538, 411, 522, 320, 241, 255, 370, 270, 539, 61, 81, 482, 630, 544, 36, 88, 591, 219, 599, 312, 434, 515, 258, 308, 110, 811, 124, 786, 775, 294, 122, 146, 134, 111, 742, 330, 252, 154, 598, 591, 56, 660, 166, 757, 435, 331, 511, 540, 239, 119, 781, 432, 751, 666, 762, 211, 446, 664, 596, 626, 696, 576, 594, 376, 817, 79, 451, 673, 280, 9, 105, 337, 20, 160, 679, 65, 425, 464, 734, 72, 737, 117, 725, 351, 807, 412, 726, 643, 360, 705, 48, 480, 475, 28, 18, 66, 593, 21, 805, 673, 396, 492, 707, 436, 206, 802, 686, 681, 509, 138, 519, 201, 254, 599, 713, 381, 70, 632, 197, 454, 641, 647, 55, 284, 47, 225, 3, 122, 223, 375, 185, 187, 251, 724, 612, 621, 678, 299, 706, 38, 447, 689, 765, 480, 810, 431, 607, 165, 389, 772, 252, 602, 758, 518, 267, 397, 62, 74, 655, 731, 28, 628, 35, 297, 672, 124, 541, 379, 408, 749, 209, 409, 819, 290, 410, 579, 426, 315, 592, 363, 168, 21, 46, 333, 753, 229, 410, 160, 589, 247, 380, 795, 69, 572, 112, 28, 6, 84, 176, 716, 808, 121, 452, 554, 467, 563, 505, 641, 542, 259, 304, 468, 534, 132, 92, 611, 131, 756, 708, 243, 242, 590, 510, 702, 754, 202, 812, 748, 172, 476, 625, 9, 640, 529, 110, 342, 403, 250, 367, 487, 108, 473, 607, 717, 478, 89, 718, 104, 62, 56, 265, 803, 87, 777, 740, 235, 578, 118, 57, 822, 194, 261, 212, 233, 345, 211, 539, 631, 479, 499, 701, 632, 734, 668, 392, 562, 134, 464, 697, 60, 205, 307, 107, 571, 647, 182, 758, 766, 193, 642, 212, 435, 123, 264, 405, 117, 361, 792, 436, 525, 416, 341, 441, 463, 406, 114, 545, 510, 394, 372, 788, 719, 660, 561, 742, 417, 328, 362, 739, 80, 105, 114, 540, 169, 204, 481, 260, 617, 660, 541, 145, 735, 366, 2, 60, 645, 8, 111, 17, 551, 190, 210, 713, 291, 46, 162, 439, 662, 432, 59, 108, 347, 359, 59, 53, 619, 503, 206, 764, 500, 396, 156, 246, 604, 269, 27, 76, 800, 645, 784, 685, 177, 280, 515, 97, 665, 815, 105, 142, 737, 360, 438, 776, 494, 644, 564, 448, 610, 255, 41, 224, 732, 126, 512, 466, 779, 377, 628, 264, 447, 354, 66, 334, 817, 564, 540, 145, 351, 676, 281, 427, 500, 102, 545, 567, 233, 218, 23, 23, 384, 253, 628, 268, 630, 527, 700, 763, 103, 115, 332, 14, 398, 294, 819, 600, 804, 42, 80, 8, 490, 42, 311, 133, 129, 141, 496, 268, 250, 200, 376, 500, 112, 795, 724, 119, 171, 798, 747, 100, 652, 438, 231, 478, 691, 385, 227, 424, 249, 412, 737, 454, 513, 418, 619, 490, 113, 330, 571, 694, 101, 31, 306, 407, 457, 642, 141, 145, 513, 550, 62, 636, 703, 391, 305, 303, 75, 200, 44, 504, 680, 4, 354, 308, 231, 476, 524, 608, 75, 461, 462, 254, 477, 1, 287, 707, 220, 695, 649, 733, 455, 446, 205, 764, 587, 73, 434, 723, 13, 425, 472, 815, 539, 821, 820, 323, 587, 693, 12, 441, 70, 397, 111, 769, 658, 768, 681, 682, 386, 641, 677, 265, 313, 163, 775, 415, 431, 99, 33, 346, 365, 677, 736, 331, 411, 613, 235, 773, 275, 586, 359, 304, 416, 653, 182, 395, 622, 462, 67, 508, 217, 762, 437, 102, 387, 360, 495, 691, 260, 364, 58, 474, 555, 303}

    {82, 103, 612, 7, 512, 734, 736, 594, 36, 215, 722, 812, 149, 714, 665, 358, 650, 228, 68, 747, 428, 183, 29, 381, 344, 211, 626, 684, 424, 373, 154, 237, 125, 560, 30, 327, 367, 83, 596, 83, 338, 557, 63, 680, 388, 215, 272, 181, 743, 90, 65, 199, 462, 521, 341, 445, 341, 198, 305, 649, 419, 444, 171, 498, 506, 270, 186, 109, 329, 528, 348, 767, 549, 685, 257, 52, 115, 475, 375, 763, 109, 159, 577, 622, 663, 652, 448, 507, 727, 789, 726, 573, 248, 79, 187, 235, 37, 409, 616, 790, 73, 332, 208, 30, 577, 445, 637, 66, 523, 54, 726, 774, 650, 567, 706, 557, 326, 55, 339, 547, 609, 728, 90, 782, 141, 455, 237, 749, 319, 373, 614, 575, 584, 19, 223, 488, 422, 422, 670, 452, 157, 201, 671, 291, 399, 786, 72, 222, 522, 180, 705, 333, 365, 629, 659, 524, 140, 213, 598, 773, 501, 243, 743, 497, 260, 116, 329, 292, 155, 389, 607, 623, 307, 331, 521, 766, 649, 422, 74, 633, 221, 417, 245, 578, 783, 470, 712, 696, 731, 43, 558, 657, 557, 127, 403, 0, 98, 46, 278, 425, 471, 40, 277, 193, 457, 263, 175, 702, 366, 745, 34, 559, 104, 806, 149, 48, 655, 39, 610, 404, 272, 120, 537, 443, 94, 41, 259, 92, 388, 220, 442, 657, 666, 165, 346, 669, 437, 620, 665, 319, 115, 407, 95, 806, 199, 547, 528, 419, 154, 404, 753, 37, 743, 431, 179, 388, 191, 654, 656, 246, 406, 333, 387, 156, 129, 601, 303, 395, 247, 175, 710, 603, 185, 578, 92, 400, 597, 194, 221, 456, 401, 147, 91, 357, 89, 602, 604, 616, 534, 1, 556, 509, 353, 170, 787, 33, 728, 603, 460, 269, 216, 31, 77, 136, 85, 312, 186, 13, 457, 449, 109, 544, 574, 128, 224, 421, 668, 570, 601, 40, 355, 563, 324, 132, 168, 213, 169, 629, 483, 579, 678, 754, 519, 417, 433, 327, 339, 485, 631, 502, 81, 63, 399, 386, 218, 164, 402, 91, 460, 71, 567, 392, 615, 88, 826, 350, 597, 153, 770, 576, 259, 624, 282, 224, 458, 392, 731, 330, 496, 752, 317, 390, 325, 573, 288, 566, 459, 748, 768, 746, 257, 618, 167, 698, 27, 204, 650, 67, 746, 799, 654, 739, 664, 35, 611, 273, 738, 199, 39, 535, 107, 192, 178, 300, 489, 159, 585, 532, 467, 729, 172, 206, 688, 816, 133, 633, 678, 715, 171, 51, 256, 690, 94, 445, 553, 684, 317, 555, 453, 672, 292, 588, 337, 702, 572, 679, 565, 15, 440, 414, 460, 378, 43, 576, 818, 302, 735, 430, 568, 566, 263, 196, 561, 581, 603, 454, 262, 710, 279, 497, 228, 56, 464, 205, 516, 814, 757, 293, 285, 354, 822, 730, 406, 310, 188, 380, 674, 497, 350, 244, 822, 697, 289, 456, 581, 262, 155, 762, 760, 588, 73, 635, 370, 278, 22, 564, 112, 384, 45, 608, 759, 659, 560, 654, 63, 627, 249, 633, 618, 233, 752, 298, 242, 258, 491, 295, 692, 766, 807, 151, 712, 724, 106, 709, 83, 461, 536, 308, 793, 803, 774, 781, 586, 799, 582, 600, 484, 816, 329, 409, 543, 165, 472, 190, 34, 365, 49, 782, 390, 796, 673, 533, 385, 634, 196, 140, 94, 387, 232, 203, 225, 486, 483, 480, 714, 789, 240, 671, 639, 793, 276, 813, 300, 471, 91, 393, 451, 586, 728, 274, 318, 605, 688, 187, 817, 97, 638, 794, 767, 441, 648, 332, 669, 468, 117, 423, 98, 324, 503, 284, 368, 548, 120, 30, 162, 469, 791, 29, 398, 477, 825, 507, 805, 315, 582, 695, 307, 532, 348, 188, 534, 236, 538, 620, 274, 293, 336, 298, 569, 305, 814, 788, 226, 321, 237, 26, 155, 286, 142, 59, 456, 637, 267, 272, 382, 104, 318, 48, 426, 813, 645, 671, 97, 666, 797, 191, 636, 334, 788, 825, 779, 506, 318, 823, 239, 609, 689, 552, 261, 245, 443, 157, 286, 313, 284, 538, 485, 754, 610, 469, 182, 271, 449, 804, 765, 402, 785, 245, 481, 270, 443, 778, 55, 675, 185, 144, 232, 494, 485, 167, 458, 302, 429, 542, 179, 764, 484, 281, 15, 429, 396, 123, 676, 173, 816, 279, 0, 240, 719, 16, 32, 681, 328, 96, 144, 389, 238, 809, 423, 342, 536, 715, 412, 0, 407, 549, 386, 226, 747, 124, 525, 346, 416, 169, 697, 322, 77, 168, 71, 663, 209, 433, 291, 310, 826, 68, 459, 507, 444, 357, 311, 512, 604, 815, 772, 505, 802, 19, 792, 426, 383, 349, 383, 651, 720, 514, 715, 532, 741, 15, 50, 290, 278, 337, 786, 252, 570, 262, 543, 84, 481, 639, 322, 745, 151, 138, 566, 727, 223, 574, 42, 64, 643, 658, 486, 771, 96, 302, 348, 347, 139, 469, 488, 720, 33, 419, 730, 393, 316, 453, 801, 29, 529, 693, 669, 605, 152, 2, 183, 325, 230, 299, 549, 147, 309, 157, 755, 530, 477, 191, 394, 623, 71, 769, 320, 47, 720, 826, 86, 41, 553, 68, 739, 248, 779, 523, 821, 275, 215, 418, 173, 699, 64, 775, 827, 88, 43, 813, 785, 719, 807, 397, 319, 130, 129, 814, 592, 797, 249, 568, 546, 424, 96, 524, 192, 253, 148, 179, 616, 639, 355, 390, 374, 600, 150, 436, 761, 209, 413, 251, 170, 818, 150, 12, 601, 26, 531, 502, 379, 732, 5, 7, 493, 372, 11, 378, 26, 492, 281, 343, 176, 759, 16, 611, 347, 449, 530, 167, 113, 316, 740, 2, 545, 811, 783, 385, 383, 546, 6, 518, 635, 634, 14, 84, 782, 812, 463, 285, 593, 326, 489, 723, 440, 192, 652, 143, 520, 52, 367, 789, 286, 515, 18, 400, 783, 630, 186, 282, 466, 760, 658, 430, 798, 608, 423, 709, 583, 266, 722, 196, 315, 263, 298, 101, 810, 220, 134, 584, 74, 334, 542, 368, 285, 670, 324, 203, 648, 784, 594, 672, 78, 380, 634, 756, 313, 799, 132, 143, 405, 556, 401, 188, 582, 164, 791, 86, 34, 620, 340, 238, 596, 562, 266, 240, 208, 368, 99, 723, 504, 106, 214, 336, 327, 208, 120, 729, 78, 804, 170, 498, 342, 535, 248, 482, 470, 706, 470, 473, 526, 45, 781, 189, 440, 517, 413, 514, 234, 216, 177, 39, 765, 362, 393, 474, 796, 203, 207, 213, 230, 442, 563, 122, 755, 733, 453, 288, 695, 478, 316, 355, 547, 280, 583, 241, 797, 353, 180, 289, 787, 22, 121, 575, 415, 501, 668, 725, 246, 314, 45, 108, 310, 495, 38, 54, 153, 561, 374, 258, 823, 243, 166, 429, 312, 769, 558, 638, 623, 234, 640, 483, 721, 476, 624, 471, 680, 526, 408, 494, 338, 473, 581, 234, 657, 651, 796, 161, 282, 653, 700, 439, 49, 585, 317, 311, 664, 550, 617, 163, 670, 711, 503, 344, 523, 69, 174, 401, 408, 314, 573, 467, 306, 16, 773, 479, 486, 17, 76, 725, 452, 143, 8, 364, 825, 560, 598, 399, 662, 727, 791, 322, 190, 605, 463, 592, 613, 794, 794, 785, 778, 749, 271, 64, 823, 222, 498, 509, 518, 156, 176, 529, 624, 638, 277, 375, 687, 1, 744, 131, 501, 127, 489, 236, 656, 621, 716, 151, 809, 371, 253, 69, 78, 746, 548, 181, 575, 87, 614, 24, 708, 759, 653, 82, 487, 559, 442, 5, 364, 446, 163, 595, 525, 366}

    Returns: {1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0 }

  50. 940

    {879, 491, 825, 865, 634, 143, 214, 95, 470, 809, 457, 23, 898, 19, 564, 291, 707, 642, 509, 233, 481, 68, 469, 641, 567, 706, 66, 576, 343, 820, 751, 227, 24, 88, 632, 448, 197, 304, 404, 733, 907, 720, 176, 103, 41, 898, 239, 177, 357, 330, 715, 124, 928, 628, 851, 606, 304, 811, 894, 35, 166, 903, 464, 101, 516, 260, 330, 585, 500, 818, 51, 643, 411, 17, 397, 168, 893, 662, 51, 256, 534, 623, 246, 379, 830, 931, 834, 747, 621, 320, 790, 681, 722, 163, 604, 501, 255, 132, 861, 35, 4, 776, 205, 767, 869, 624, 390, 94, 393, 690, 714, 845, 826, 8, 502, 521, 728, 465, 573, 221, 48, 916, 24, 429, 419, 855, 783, 935, 901, 584, 637, 259, 683, 381, 328, 579, 242, 108, 667, 5, 61, 580, 180, 8, 481, 650, 283, 829, 781, 910, 413, 744, 281, 98, 245, 412, 38, 107, 841, 677, 863, 741, 615, 485, 508, 168, 352, 649, 178, 906, 873, 444, 908, 220, 151, 603, 702, 674, 324, 477, 95, 147, 386, 603, 527, 483, 686, 118, 237, 853, 544, 703, 695, 527, 39, 291, 14, 209, 43, 153, 857, 149, 816, 14, 768, 138, 372, 359, 329, 587, 829, 660, 845, 267, 78, 429, 102, 24, 862, 797, 62, 513, 603, 698, 461, 921, 656, 891, 206, 436, 107, 648, 309, 568, 664, 396, 50, 494, 794, 52, 37, 734, 136, 136, 175, 885, 78, 210, 99, 165, 510, 530, 362, 485, 905, 862, 715, 740, 13, 387, 933, 929, 346, 394, 696, 32, 40, 639, 832, 924, 724, 338, 730, 291, 374, 627, 48, 548, 852, 140, 251, 53, 831, 793, 325, 656, 504, 589, 619, 882, 98, 321, 130, 758, 874, 497, 913, 517, 302, 85, 358, 621, 179, 408, 213, 208, 137, 575, 537, 282, 457, 687, 219, 437, 530, 742, 80, 923, 767, 86, 578, 567, 132, 370, 229, 31, 647, 616, 789, 459, 869, 36, 671, 285, 338, 443, 438, 885, 564, 593, 469, 118, 118, 508, 560, 464, 512, 167, 899, 117, 90, 9, 874, 246, 144, 127, 432, 243, 327, 381, 105, 91, 527, 618, 610, 830, 615, 250, 28, 737, 320, 920, 425, 928, 848, 81, 186, 175, 345, 735, 71, 368, 673, 872, 176, 334, 120, 650, 43, 430, 436, 392, 0, 265, 332, 522, 594, 725, 449, 822, 221, 743, 142, 540, 424, 471, 417, 146, 293, 263, 804, 513, 596, 559, 79, 310, 531, 482, 249, 60, 752, 192, 788, 646, 126, 241, 228, 801, 83, 765, 411, 599, 799, 625, 786, 486, 54, 388, 890, 531, 938, 131, 58, 484, 831, 219, 231, 727, 153, 110, 441, 132, 809, 486, 857, 819, 439, 405, 33, 748, 388, 215, 649, 636, 821, 762, 918, 929, 834, 197, 134, 828, 707, 152, 271, 463, 808, 520, 329, 736, 562, 727, 89, 888, 15, 674, 403, 366, 374, 520, 326, 10, 135, 110, 647, 498, 666, 493, 904, 930, 406, 596, 368, 627, 62, 45, 786, 269, 887, 463, 382, 307, 64, 75, 150, 370, 72, 581, 430, 201, 257, 193, 4, 743, 209, 653, 785, 218, 373, 26, 595, 551, 89, 174, 86, 130, 488, 2, 88, 269, 849, 74, 934, 630, 681, 559, 208, 341, 770, 847, 696, 77, 490, 279, 733, 555, 53, 134, 886, 200, 147, 716, 495, 213, 536, 596, 427, 157, 576, 592, 179, 505, 45, 117, 618, 36, 127, 240, 671, 148, 881, 434, 340, 245, 740, 616, 60, 606, 311, 89, 76, 362, 143, 73, 38, 795, 287, 585, 504, 859, 122, 703, 271, 752, 524, 418, 726, 614, 517, 346, 602, 427, 68, 290, 294, 190, 380, 87, 327, 592, 663, 556, 315, 718, 638, 506, 786, 772, 573, 295, 470, 26, 544, 791, 349, 373, 788, 827, 740, 276, 6, 74, 140, 305, 500, 28, 811, 668, 213, 42, 246, 856, 797, 587, 124, 522, 394, 156, 919, 555, 656, 902, 374, 570, 204, 18, 248, 775, 900, 758, 883, 295, 343, 876, 400, 363, 323, 139, 874, 479, 417, 499, 604, 551, 243, 886, 588, 638, 897, 769, 177, 184, 900, 151, 47, 137, 536, 303, 303, 669, 904, 189, 795, 354, 354, 56, 443, 520, 237, 571, 666, 720, 914, 461, 123, 454, 480, 224, 96, 66, 395, 653, 35, 279, 574, 862, 503, 348, 688, 506, 309, 632, 517, 340, 866, 682, 271, 331, 442, 644, 366, 187, 692, 396, 896, 704, 939, 266, 458, 94, 571, 41, 470, 21, 56, 83, 795, 85, 685, 90, 760, 920, 698, 330, 407, 347, 283, 879, 498, 909, 228, 363, 926, 512, 244, 159, 610, 104, 197, 541, 462, 189, 803, 7, 445, 661, 925, 518, 604, 746, 671, 198, 133, 692, 913, 40, 891, 518, 116, 743, 400, 254, 895, 573, 480, 91, 821, 729, 175, 305, 128, 114, 254, 611, 524, 566, 277, 824, 241, 326, 202, 195, 882, 673, 657, 905, 618, 593, 69, 875, 711, 320, 555, 44, 224, 515, 410, 114, 589, 163, 252, 590, 253, 361, 171, 237, 479, 73, 366, 568, 283, 294, 408, 535, 422, 372, 441, 416, 119, 119, 920, 642, 726, 269, 286, 173, 141, 900, 529, 761, 386, 421, 792, 221, 755, 172, 938, 445, 773, 32, 259, 444, 250, 321, 707, 13, 129, 229, 737, 672, 162, 427, 234, 2, 652, 222, 749, 548, 31, 528, 830, 287, 526, 779, 261, 438, 357, 16, 840, 192, 440, 914, 114, 158, 351, 762, 633, 405, 507, 70, 188, 365, 199, 594, 98, 420, 747, 560, 883, 512, 626, 333, 654, 652, 296, 200, 263, 804, 873, 636, 588, 615, 546, 450, 755, 347, 475, 313, 418, 742, 97, 685, 733, 84, 839, 289, 647, 18, 706, 211, 431, 679, 403, 825, 553, 403, 718, 409, 651, 807, 76, 379, 380, 375, 888, 921, 236, 915, 116, 665, 712, 165, 163, 404, 925, 790, 609, 61, 772, 434, 804, 821, 510, 654, 634, 415, 105, 938, 12, 390, 307, 141, 43, 479, 507, 100, 19, 930, 306, 302, 844, 135, 193, 553, 939, 510, 27, 662, 687, 526, 133, 418, 116, 778, 803, 244, 284, 196, 173, 591, 754, 128, 876, 296, 819, 847, 867, 233, 525, 813, 587, 400, 201, 514, 727, 272, 594, 759, 399, 184, 130, 233, 285, 71, 805, 11, 803, 458, 939, 335, 751, 617, 72, 691, 170, 847, 287, 790, 60, 808, 889, 748, 837, 453, 754, 39, 169, 361, 10, 465, 691, 539, 849, 361, 173, 214, 919, 244, 261, 541, 626, 21, 214, 872, 894, 75, 292, 856, 72, 541, 699, 29, 355, 800, 705, 686, 787, 706, 784, 51, 193, 817, 344, 760, 702, 211, 475, 86, 419, 897, 562, 833, 864, 834, 755, 218, 292, 538, 789, 142, 79, 565, 317, 167, 515, 536, 632, 395, 850, 915, 579, 268, 913, 259, 207, 452, 242, 496, 554, 696, 710, 836, 766, 396, 145, 567, 841, 662, 276, 397, 242, 256, 334, 351, 659, 891, 669, 761, 490, 844, 770, 66, 914, 822, 268, 658, 262, 402, 493, 286, 765, 409, 188, 279, 519, 629, 422, 198, 593, 82, 475, 663, 92, 522, 2, 160, 355, 582, 162, 161, 266, 445, 125, 503, 764, 301, 210, 15, 931, 0, 298, 646, 293, 932, 820, 164, 515, 496, 308, 465, 672, 190, 894, 518, 760, 634, 101, 159, 721, 661, 808, 285, 672, 36, 188, 487, 123, 832, 316, 406, 379, 428, 281, 426, 683, 726, 571, 860, 569, 748, 805, 864, 578, 168, 486, 389, 556, 7, 278, 447, 642, 228, 401, 769, 416, 669, 800, 532, 648, 240, 506, 215, 395, 535, 905, 353, 105, 921, 96, 718, 262, 725, 892, 933, 53, 270, 879, 302, 762, 442, 57, 458, 157, 744, 169, 558, 629, 65, 310, 30, 588, 270, 332, 850, 41, 529, 6, 845, 452, 28, 141, 602, 333, 775, 736, 670, 78, 272, 514, 739, 710, 59, 561, 531, 463, 802, 783, 766, 409, 925, 789, 420, 609, 650, 731, 434, 49, 775, 885, 140, 484, 67, 577, 372, 565, 464, 764, 741, 275, 293, 711, 26, 420, 598, 663, 829, 161, 351, 505, 153, 16, 70, 793, 782, 451, 212, 855, 794, 680, 154, 44, 404, 433, 448, 488, 414, 495, 352, 155, 29, 676, 910, 798, 446, 57, 316, 528, 625, 534, 497, 115, 590, 653, 659, 166, 742, 354, 57, 751, 599, 592, 387, 150, 457, 739, 440, 376, 449, 416, 185}

    {128, 449, 908, 216, 907, 207, 329, 582, 278, 494, 308, 314, 331, 730, 896, 629, 115, 865, 613, 503, 583, 406, 554, 314, 148, 144, 129, 1, 223, 910, 566, 460, 783, 749, 676, 491, 901, 264, 274, 275, 196, 832, 784, 806, 608, 275, 203, 525, 312, 450, 909, 144, 377, 381, 211, 277, 59, 65, 391, 451, 898, 247, 240, 557, 806, 495, 45, 227, 474, 455, 58, 478, 413, 232, 777, 895, 937, 542, 350, 223, 37, 655, 644, 471, 855, 823, 597, 399, 446, 643, 54, 492, 230, 810, 540, 421, 339, 861, 439, 322, 533, 456, 368, 601, 478, 22, 191, 482, 620, 111, 390, 249, 597, 935, 380, 3, 77, 580, 59, 101, 787, 106, 863, 194, 248, 608, 704, 613, 878, 697, 218, 394, 575, 82, 911, 222, 535, 234, 530, 356, 455, 798, 600, 509, 759, 769, 749, 493, 217, 472, 708, 705, 473, 839, 335, 230, 871, 817, 511, 455, 342, 652, 612, 579, 126, 69, 412, 437, 557, 388, 378, 824, 358, 347, 49, 915, 901, 641, 263, 858, 550, 460, 441, 284, 365, 892, 563, 508, 881, 334, 433, 852, 750, 548, 483, 600, 670, 139, 828, 408, 716, 492, 247, 675, 176, 232, 682, 800, 345, 402, 423, 812, 565, 448, 756, 654, 273, 930, 398, 591, 234, 577, 543, 156, 437, 659, 453, 83, 349, 689, 308, 3, 810, 468, 564, 595, 369, 373, 776, 398, 701, 382, 145, 917, 85, 624, 154, 255, 552, 792, 187, 167, 23, 927, 561, 52, 708, 690, 462, 532, 324, 860, 563, 868, 103, 640, 605, 280, 690, 46, 701, 597, 812, 180, 454, 125, 601, 838, 56, 780, 63, 314, 549, 42, 545, 286, 889, 813, 738, 870, 222, 489, 677, 19, 297, 307, 200, 468, 349, 613, 825, 912, 851, 74, 912, 84, 553, 350, 523, 111, 262, 816, 398, 370, 713, 523, 854, 473, 280, 539, 447, 251, 619, 435, 267, 846, 903, 570, 14, 385, 482, 149, 628, 345, 191, 678, 344, 189, 158, 157, 502, 122, 364, 819, 433, 750, 828, 667, 877, 336, 274, 542, 661, 637, 109, 210, 177, 859, 719, 120, 926, 542, 815, 184, 65, 306, 100, 516, 265, 471, 869, 40, 6, 272, 452, 38, 572, 935, 645, 238, 867, 902, 699, 926, 172, 827, 628, 80, 764, 714, 814, 835, 841, 209, 780, 42, 902, 734, 289, 273, 152, 5, 617, 422, 609, 801, 481, 476, 92, 300, 771, 12, 778, 484, 687, 501, 916, 620, 788, 352, 631, 563, 315, 80, 477, 226, 924, 737, 684, 936, 867, 17, 392, 392, 393, 202, 319, 453, 572, 254, 584, 194, 145, 384, 253, 25, 161, 812, 549, 689, 172, 439, 745, 474, 753, 477, 296, 467, 877, 538, 81, 675, 435, 886, 108, 816, 750, 723, 338, 21, 630, 586, 432, 719, 186, 734, 195, 323, 1, 312, 113, 87, 295, 884, 802, 34, 376, 268, 202, 155, 459, 842, 235, 359, 710, 247, 781, 55, 143, 342, 623, 908, 787, 359, 732, 916, 889, 251, 225, 782, 725, 896, 843, 364, 343, 376, 621, 435, 191, 911, 367, 758, 243, 10, 27, 691, 780, 494, 745, 327, 341, 217, 670, 602, 125, 818, 391, 884, 257, 63, 155, 791, 655, 337, 149, 384, 608, 635, 546, 131, 44, 645, 306, 96, 331, 64, 674, 174, 890, 367, 585, 3, 148, 446, 547, 358, 501, 371, 77, 34, 836, 766, 156, 561, 20, 492, 339, 695, 120, 260, 134, 277, 552, 67, 282, 93, 410, 907, 589, 675, 922, 34, 129, 612, 906, 521, 126, 679, 643, 533, 858, 389, 890, 756, 48, 335, 328, 754, 807, 192, 337, 421, 109, 922, 312, 33, 276, 730, 178, 638, 736, 599, 7, 757, 11, 154, 856, 912, 264, 215, 857, 532, 911, 383, 442, 809, 239, 528, 720, 502, 146, 549, 785, 135, 723, 139, 875, 375, 165, 299, 731, 620, 735, 169, 399, 793, 103, 106, 694, 428, 906, 205, 836, 761, 757, 136, 357, 619, 95, 87, 456, 668, 27, 55, 712, 236, 181, 265, 459, 413, 583, 20, 29, 713, 164, 186, 127, 362, 735, 854, 667, 499, 550, 323, 194, 838, 724, 181, 49, 679, 774, 745, 648, 32, 640, 467, 412, 303, 630, 700, 523, 111, 305, 581, 936, 179, 716, 872, 301, 207, 160, 483, 159, 633, 142, 219, 853, 273, 13, 664, 377, 784, 568, 744, 76, 823, 636, 466, 206, 637, 171, 717, 576, 765, 497, 927, 17, 337, 216, 393, 115, 490, 480, 62, 590, 8, 313, 577, 677, 360, 164, 731, 607, 698, 811, 569, 883, 425, 353, 411, 185, 297, 709, 431, 389, 322, 55, 318, 732, 551, 137, 22, 875, 203, 229, 363, 102, 937, 290, 113, 598, 278, 70, 728, 794, 846, 509, 893, 537, 356, 383, 292, 688, 304, 521, 9, 878, 46, 513, 426, 476, 489, 106, 557, 601, 763, 843, 16, 892, 297, 474, 870, 424, 842, 456, 336, 499, 371, 814, 407, 319, 94, 574, 250, 709, 598, 678, 782, 824, 317, 371, 467, 383, 5, 635, 266, 71, 100, 936, 807, 776, 248, 712, 877, 290, 931, 360, 281, 846, 31, 605, 220, 298, 514, 871, 705, 917, 582, 348, 616, 360, 310, 325, 611, 562, 386, 697, 289, 414, 777, 806, 631, 868, 300, 525, 895, 774, 258, 570, 436, 50, 365, 878, 888, 160, 342, 367, 815, 415, 853, 318, 75, 773, 182, 799, 923, 294, 631, 339, 617, 937, 235, 321, 664, 835, 79, 50, 738, 717, 658, 797, 815, 274, 317, 485, 773, 655, 328, 88, 554, 46, 178, 47, 410, 861, 657, 933, 676, 245, 572, 255, 261, 882, 607, 113, 415, 747, 753, 67, 537, 884, 818, 166, 318, 927, 258, 498, 58, 623, 397, 469, 460, 581, 658, 462, 649, 496, 280, 607, 468, 540, 801, 112, 880, 583, 626, 385, 284, 311, 739, 791, 772, 309, 199, 348, 319, 546, 685, 325, 64, 686, 702, 231, 131, 196, 119, 224, 805, 684, 430, 25, 18, 586, 909, 665, 835, 694, 704, 84, 30, 929, 918, 660, 838, 591, 507, 150, 9, 903, 721, 183, 873, 813, 423, 97, 170, 543, 606, 340, 238, 476, 614, 610, 714, 364, 47, 715, 779, 432, 311, 701, 831, 298, 112, 919, 721, 205, 417, 109, 20, 61, 827, 692, 708, 697, 23, 407, 865, 556, 378, 39, 346, 545, 566, 703, 429, 858, 711, 443, 770, 478, 199, 932, 871, 425, 241, 547, 837, 356, 180, 226, 627, 181, 932, 99, 728, 660, 639, 625, 217, 519, 108, 645, 401, 488, 122, 450, 504, 792, 781, 316, 866, 384, 110, 552, 771, 524, 68, 768, 683, 694, 121, 473, 4, 732, 777, 124, 624, 837, 232, 746, 622, 534, 826, 746, 644, 651, 848, 880, 428, 622, 203, 810, 713, 355, 864, 768, 722, 216, 543, 863, 595, 257, 487, 774, 538, 923, 757, 431, 868, 833, 454, 924, 635, 350, 260, 82, 91, 112, 851, 899, 700, 182, 799, 185, 12, 147, 93, 208, 723, 870, 904, 695, 529, 123, 133, 107, 37, 423, 81, 171, 767, 138, 369, 796, 93, 866, 313, 252, 0, 934, 887, 236, 299, 97, 678, 288, 550, 693, 665, 174, 491, 539, 182, 586, 369, 840, 682, 15, 511, 560, 680, 326, 419, 472, 533, 288, 204, 121, 798, 814, 899, 212, 440, 859, 785, 387, 451, 928, 92, 424, 1, 69, 681, 897, 516, 341, 282, 842, 934, 584, 574, 33, 918, 917, 544, 256, 844, 220, 848, 887, 402, 580, 688, 500, 170, 238, 249, 753, 820, 569, 505, 709, 646, 344, 227, 689, 719, 198, 235, 158, 375, 741, 438, 117, 622, 401, 729, 693, 204, 121, 699, 763, 300, 11, 162, 146, 206, 833, 324, 301, 850, 252, 99, 724, 559, 600, 876, 558, 640, 840, 633, 183, 472, 104, 102, 614, 239, 759, 826, 575, 881, 611, 738, 225, 880, 752, 377, 63, 231, 353, 264, 336, 651, 382, 823, 839, 729, 639, 822, 668, 52, 195, 680, 605, 843, 849, 405, 22, 332, 558, 378, 684, 802, 315, 426, 511, 230, 466, 385, 54, 333, 414, 288, 225, 778, 187, 73, 796, 253, 444, 183, 299, 489, 322, 391, 104, 657, 854, 756, 487, 90, 201, 258, 212, 526, 860, 722, 151, 922, 771, 447, 578, 545, 270, 673, 779, 612, 547, 25, 700, 852, 763, 519, 466, 666, 30, 693, 226, 138, 641, 152, 223, 817, 717, 893, 461, 267, 190, 796}

    Returns: {0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 }

  51. 876

    {689, 198, 402, 662, 360, 46, 196, 384, 128, 701, 625, 438, 519, 727, 657, 151, 552, 522, 454, 826, 542, 174, 545, 753, 184, 634, 834, 187, 627, 269, 433, 500, 266, 451, 534, 178, 490, 823, 147, 481, 636, 13, 40, 661, 285, 820, 213, 846, 556, 86, 18, 411, 699, 640, 794, 764, 127, 162, 514, 639, 351, 591, 623, 12, 729, 388, 123, 776, 499, 437, 774, 661, 515, 414, 743, 180, 737, 244, 234, 340, 479, 222, 45, 408, 552, 606, 418, 575, 625, 809, 226, 502, 383, 781, 289, 303, 502, 474, 660, 61, 271, 1, 194, 111, 546, 60, 131, 731, 216, 508, 656, 10, 429, 258, 646, 459, 555, 132, 302, 678, 48, 728, 631, 233, 436, 730, 444, 725, 493, 305, 628, 773, 543, 711, 142, 247, 206, 354, 829, 368, 385, 232, 438, 489, 102, 194, 219, 515, 226, 386, 82, 673, 269, 206, 742, 327, 80, 827, 748, 79, 560, 63, 352, 82, 115, 773, 45, 764, 862, 138, 324, 511, 793, 205, 654, 777, 607, 249, 723, 265, 127, 691, 51, 633, 122, 633, 343, 15, 175, 851, 32, 67, 364, 10, 774, 514, 195, 666, 568, 208, 70, 264, 631, 87, 698, 800, 469, 856, 42, 333, 92, 493, 657, 355, 794, 277, 789, 318, 503, 691, 186, 871, 95, 245, 315, 712, 528, 641, 406, 240, 71, 706, 657, 648, 323, 296, 545, 183, 776, 489, 477, 357, 615, 96, 200, 414, 685, 447, 229, 388, 248, 4, 371, 430, 106, 831, 547, 696, 346, 170, 213, 463, 821, 520, 465, 308, 215, 866, 33, 449, 332, 335, 577, 679, 573, 399, 778, 577, 322, 22, 760, 148, 606, 450, 864, 328, 648, 572, 683, 574, 95, 66, 78, 745, 355, 699, 255, 825, 672, 52, 376, 207, 353, 44, 297, 59, 29, 867, 451, 189, 199, 789, 802, 421, 553, 623, 581, 298, 260, 772, 130, 671, 314, 574, 478, 281, 533, 540, 724, 787, 800, 345, 692, 288, 317, 605, 656, 569, 583, 494, 461, 562, 522, 121, 25, 239, 740, 12, 564, 790, 839, 873, 666, 406, 170, 490, 399, 182, 805, 373, 588, 477, 110, 857, 777, 119, 129, 751, 50, 866, 149, 841, 650, 550, 242, 370, 371, 438, 741, 222, 593, 73, 722, 764, 247, 802, 564, 800, 108, 793, 252, 497, 178, 664, 481, 627, 836, 88, 321, 491, 401, 468, 626, 106, 690, 707, 3, 76, 650, 439, 416, 13, 526, 720, 551, 70, 207, 650, 707, 681, 608, 463, 227, 119, 404, 342, 12, 510, 173, 5, 137, 706, 4, 558, 789, 309, 187, 811, 296, 821, 214, 857, 8, 63, 323, 99, 300, 241, 558, 782, 123, 434, 820, 509, 805, 765, 245, 526, 637, 517, 739, 57, 535, 130, 707, 134, 483, 402, 177, 346, 644, 867, 428, 251, 67, 724, 295, 690, 586, 162, 109, 197, 69, 70, 298, 341, 121, 484, 838, 379, 145, 609, 290, 286, 796, 449, 297, 480, 190, 715, 116, 403, 103, 43, 819, 144, 512, 595, 766, 389, 503, 247, 812, 405, 408, 172, 198, 681, 105, 72, 149, 503, 144, 82, 273, 747, 855, 750, 667, 64, 214, 492, 174, 484, 871, 830, 94, 87, 348, 771, 770, 600, 604, 401, 635, 693, 157, 734, 718, 499, 18, 253, 235, 546, 209, 291, 30, 102, 268, 348, 116, 337, 745, 782, 739, 20, 264, 516, 711, 175, 668, 586, 542, 571, 228, 101, 474, 783, 768, 381, 679, 780, 559, 375, 176, 163, 415, 819, 609, 100, 505, 773, 165, 308, 840, 846, 471, 484, 266, 392, 563, 413, 779, 217, 192, 396, 549, 618, 36, 559, 342, 756, 242, 248, 595, 825, 722, 166, 69, 9, 776, 218, 221, 326, 570, 461, 292, 283, 700, 49, 398, 307, 398, 332, 125, 192, 508, 641, 372, 808, 760, 875, 675, 525, 842, 24, 209, 38, 757, 833, 643, 102, 372, 492, 530, 551, 593, 796, 495, 563, 435, 419, 652, 749, 784, 212, 777, 133, 418, 722, 121, 208, 237, 409, 222, 275, 342, 374, 350, 667, 35, 645, 422, 456, 386, 171, 580, 498, 845, 182, 7, 257, 437, 424, 654, 618, 33, 278, 142, 314, 292, 168, 39, 781, 337, 0, 830, 747, 735, 612, 512, 313, 475, 681, 614, 462, 779, 771, 215, 675, 785, 115, 572, 76, 648, 446, 714, 184, 220, 588, 313, 460, 348, 427, 197, 774, 208, 678, 9, 38, 691, 293, 744, 373, 362, 779, 853, 752, 445, 138, 440, 229, 660, 400, 640, 185, 449, 59, 478, 442, 148, 274, 35, 611, 678, 836, 411, 761, 464, 391, 60, 352, 580, 593, 169, 841, 201, 277, 720, 405, 497, 19, 831, 841, 384, 426, 464, 46, 536, 769, 212, 534, 4, 227, 27, 352, 820, 689, 264, 554, 179, 482, 304, 143, 109, 731, 785, 551, 258, 167, 467, 857, 139, 109, 347, 180, 610, 466, 523, 89, 390, 301, 305, 783, 73, 865, 750, 354, 291, 402, 410, 541, 22, 346, 703, 356, 839, 476, 126, 816, 21, 457, 37, 677, 381, 323, 400, 448, 71, 134, 730, 611, 530, 556, 188, 360, 694, 16, 289, 705, 740, 174, 810, 11, 444, 280, 446, 528, 507, 24, 540, 538, 326, 394, 151, 15, 622, 295, 19, 333, 587, 388, 320, 205, 755, 100, 385, 815, 517, 573, 47, 167, 64, 603, 553, 529, 866, 516, 587, 262, 127, 613, 274, 351, 432, 797, 677, 516, 231, 780, 698, 134, 395, 875, 202, 578, 743, 509, 617, 754, 361, 851, 583, 565, 697, 522, 572, 145, 211, 632, 679, 485, 659, 642, 824, 96, 511, 193, 654, 423, 571, 8, 571, 814, 521, 275, 494, 531, 834, 139, 790, 554, 548, 113, 730, 480, 668, 548, 327, 459, 676, 586, 682, 213, 853, 180, 325, 183, 666, 626, 432, 55, 790, 638, 111, 330, 577, 351, 186, 433, 477, 59, 460, 282, 223, 224, 269, 469, 769, 415, 815, 590, 793, 466, 853, 172, 733, 499, 206, 259, 9, 528, 191, 94, 845, 163, 805, 584, 651, 531, 43, 52, 547, 856, 703, 428, 306, 441, 165, 868, 270, 607, 80, 665, 540, 260, 217, 85, 833, 49, 663, 711, 104, 453, 507, 652, 21, 595, 807, 569, 763, 810, 14, 599, 304, 435, 257, 123, 141, 81, 92, 869, 28, 464, 585, 267, 144, 742, 42, 684, 286, 371, 513, 210, 515, 420, 450, 191, 309, 531, 659, 562, 78, 451, 636, 328, 769, 108, 784, 361, 470, 51, 442, 10, 50, 294, 263, 340, 743, 101, 218, 17, 53, 482, 279, 565, 155, 357, 383, 419, 163, 588, 597, 837, 574, 30, 415, 190, 416, 78, 837, 1, 58, 277, 755, 873, 589, 827, 537, 836, 824, 249, 677, 313, 239, 506, 837, 229, 58, 737, 742, 362, 393, 165, 114, 33, 177, 231, 246, 339, 221, 334, 457, 225, 169, 308, 422, 126, 521, 54, 725, 692, 199, 260, 318, 710, 265, 337, 621, 74, 266, 718, 177, 50, 505, 90, 455, 598, 624, 111, 25, 575, 75, 409, 286, 874, 66, 430, 613, 659, 502, 873, 414, 125, 608, 521, 864, 823, 57, 178, 55, 72, 560, 493, 435, 220, 634, 116, 217, 636, 422, 242, 468, 858, 708, 255, 794, 212, 339, 709, 272, 541, 367, 816, 736, 701, 210, 419, 671, 440, 233, 529, 427, 611, 518, 597, 259, 845, 56, 695, 475, 529, 225, 387, 697, 626, 405, 119, 390, 232, 271, 861, 431, 171, 527, 157, 411, 672, 367, 319, 107, 839, 410, 278, 504, 299, 806, 461, 739, 870, 290, 304, 785, 355, 204, 684, 66, 802, 829, 300, 49, 693, 664, 321, 310, 632, 615, 468, 410, 444, 737, 338, 219, 456, 341, 139, 763, 434, 467, 702, 354, 312, 488, 294, 60, 170, 673, 17, 544, 90, 781, 424, 575, 704, 756, 181, 233, 445, 724, 387, 594, 157, 799, 786}

    {148, 207, 311, 632, 772, 705, 129, 796, 104, 228, 498, 514, 417, 795, 768, 343, 283, 561, 604, 518, 155, 29, 573, 226, 335, 363, 301, 146, 331, 806, 152, 602, 166, 684, 282, 424, 488, 649, 365, 403, 846, 763, 726, 36, 872, 103, 406, 601, 761, 496, 113, 393, 517, 195, 19, 810, 160, 504, 99, 239, 433, 230, 136, 600, 653, 374, 359, 462, 41, 555, 267, 768, 504, 324, 218, 547, 417, 721, 294, 834, 185, 811, 734, 576, 550, 832, 567, 868, 535, 765, 775, 587, 161, 692, 200, 843, 254, 471, 812, 633, 807, 281, 330, 423, 250, 622, 377, 370, 486, 510, 350, 312, 536, 708, 828, 310, 489, 848, 854, 99, 680, 358, 145, 791, 620, 398, 100, 532, 856, 485, 697, 442, 795, 612, 738, 513, 115, 291, 146, 243, 114, 159, 347, 423, 505, 5, 665, 297, 554, 257, 527, 716, 209, 453, 772, 283, 330, 382, 6, 62, 44, 719, 736, 161, 748, 591, 76, 788, 698, 606, 452, 272, 113, 378, 673, 54, 804, 562, 860, 441, 831, 288, 356, 639, 487, 638, 602, 748, 682, 425, 847, 289, 770, 579, 702, 627, 26, 198, 154, 103, 13, 869, 429, 766, 813, 302, 447, 501, 131, 31, 642, 808, 210, 744, 40, 535, 448, 14, 345, 614, 318, 511, 211, 539, 828, 152, 842, 135, 373, 827, 124, 858, 787, 273, 343, 513, 196, 731, 871, 524, 279, 494, 261, 520, 458, 392, 380, 859, 391, 507, 122, 252, 645, 256, 267, 160, 527, 732, 227, 325, 211, 56, 619, 658, 644, 589, 701, 298, 740, 281, 88, 120, 545, 546, 164, 788, 47, 164, 655, 714, 476, 855, 81, 628, 65, 241, 765, 483, 34, 237, 686, 68, 465, 617, 570, 803, 192, 7, 142, 107, 767, 518, 333, 287, 432, 629, 534, 625, 616, 854, 2, 544, 396, 321, 624, 664, 792, 746, 43, 490, 156, 485, 243, 328, 738, 798, 6, 792, 608, 661, 189, 553, 749, 344, 254, 293, 847, 299, 838, 378, 0, 874, 130, 280, 538, 275, 756, 61, 244, 709, 188, 762, 74, 479, 270, 251, 315, 806, 818, 185, 381, 94, 614, 544, 726, 128, 557, 561, 685, 746, 653, 25, 335, 118, 114, 655, 676, 331, 783, 408, 235, 324, 183, 646, 797, 299, 181, 341, 353, 42, 543, 629, 196, 570, 105, 735, 870, 460, 407, 238, 263, 552, 519, 702, 73, 362, 276, 817, 184, 713, 1, 860, 349, 240, 610, 723, 261, 120, 32, 455, 252, 759, 204, 104, 359, 126, 638, 596, 41, 582, 619, 39, 434, 72, 663, 585, 674, 23, 143, 530, 472, 688, 850, 715, 703, 735, 363, 428, 576, 204, 339, 397, 687, 592, 446, 69, 234, 382, 250, 803, 288, 140, 412, 561, 585, 47, 93, 480, 844, 782, 548, 412, 630, 360, 458, 727, 231, 452, 132, 812, 594, 353, 809, 320, 262, 559, 660, 376, 459, 532, 158, 859, 665, 618, 7, 819, 150, 311, 792, 719, 440, 473, 687, 91, 403, 725, 93, 385, 168, 647, 624, 361, 150, 158, 23, 338, 826, 656, 473, 282, 813, 173, 379, 467, 284, 347, 98, 11, 817, 251, 175, 560, 729, 375, 203, 753, 487, 752, 89, 832, 46, 2, 474, 241, 601, 590, 761, 584, 813, 191, 216, 620, 97, 11, 848, 118, 455, 314, 524, 470, 310, 418, 754, 861, 344, 762, 171, 246, 67, 637, 137, 409, 669, 568, 759, 238, 454, 300, 850, 202, 750, 688, 189, 767, 29, 719, 520, 798, 469, 426, 86, 230, 538, 457, 62, 271, 829, 387, 305, 452, 375, 236, 37, 695, 566, 569, 567, 34, 8, 302, 700, 453, 386, 279, 863, 676, 322, 671, 306, 599, 272, 377, 555, 427, 532, 447, 169, 118, 713, 205, 84, 287, 799, 380, 598, 752, 629, 420, 717, 501, 589, 110, 865, 726, 472, 380, 244, 641, 669, 325, 706, 368, 344, 287, 483, 133, 651, 156, 160, 376, 307, 736, 835, 236, 306, 858, 232, 367, 714, 413, 162, 168, 401, 182, 23, 717, 439, 759, 77, 393, 543, 825, 215, 788, 75, 390, 757, 412, 105, 132, 384, 523, 524, 85, 603, 803, 533, 651, 285, 86, 801, 87, 357, 370, 441, 859, 128, 331, 83, 458, 179, 497, 407, 309, 875, 203, 526, 670, 732, 594, 26, 358, 512, 584, 809, 28, 265, 120, 733, 864, 598, 506, 317, 117, 31, 71, 766, 747, 694, 135, 110, 400, 136, 686, 77, 349, 292, 255, 316, 832, 365, 770, 647, 224, 26, 369, 481, 125, 695, 230, 758, 749, 397, 754, 83, 821, 45, 680, 95, 425, 301, 293, 155, 824, 253, 98, 315, 867, 382, 631, 578, 54, 117, 334, 156, 501, 369, 364, 818, 710, 643, 176, 795, 620, 194, 605, 225, 334, 537, 753, 619, 791, 5, 823, 865, 322, 640, 53, 256, 112, 383, 780, 542, 445, 83, 852, 311, 840, 863, 470, 537, 822, 238, 363, 392, 316, 842, 550, 466, 610, 303, 680, 549, 253, 151, 112, 835, 65, 613, 276, 592, 329, 349, 201, 319, 500, 605, 172, 106, 37, 84, 430, 870, 48, 579, 366, 243, 798, 612, 326, 6, 176, 399, 472, 3, 647, 158, 214, 56, 506, 581, 98, 117, 193, 500, 533, 822, 496, 55, 814, 407, 463, 860, 284, 804, 808, 443, 234, 642, 129, 92, 51, 366, 716, 421, 704, 262, 187, 254, 746, 495, 439, 413, 712, 389, 296, 828, 674, 368, 135, 718, 778, 833, 81, 329, 596, 131, 417, 258, 256, 649, 246, 147, 303, 450, 751, 668, 536, 369, 868, 637, 101, 199, 699, 278, 658, 462, 852, 716, 221, 14, 787, 186, 108, 653, 639, 39, 425, 622, 757, 814, 775, 420, 486, 799, 20, 179, 465, 62, 365, 645, 181, 250, 686, 436, 394, 395, 236, 261, 604, 280, 525, 197, 61, 437, 90, 85, 107, 154, 52, 122, 578, 685, 558, 616, 607, 564, 0, 356, 658, 89, 580, 220, 79, 861, 663, 377, 173, 15, 57, 295, 682, 566, 248, 16, 715, 429, 68, 336, 851, 431, 712, 161, 17, 602, 237, 21, 22, 758, 662, 791, 755, 582, 97, 190, 431, 672, 557, 240, 284, 448, 200, 830, 358, 696, 188, 784, 75, 601, 862, 723, 201, 154, 496, 27, 492, 443, 404, 336, 138, 778, 849, 818, 479, 77, 124, 58, 64, 733, 616, 34, 603, 649, 36, 389, 38, 153, 41, 350, 391, 2, 835, 644, 223, 807, 630, 167, 709, 592, 143, 815, 710, 591, 652, 88, 539, 630, 822, 216, 166, 18, 3, 133, 140, 487, 843, 693, 378, 193, 670, 63, 476, 146, 141, 263, 32, 96, 581, 473, 751, 290, 16, 786, 498, 224, 634, 65, 720, 849, 137, 97, 312, 456, 596, 717, 332, 219, 364, 744, 519, 488, 30, 68, 689, 863, 728, 615, 694, 674, 359, 268, 855, 760, 775, 436, 319, 228, 713, 149, 525, 786, 655, 539, 91, 568, 112, 567, 549, 276, 844, 491, 862, 826, 24, 599, 582, 847, 510, 345, 268, 758, 662, 523, 721, 683, 579, 667, 617, 700, 600, 317, 20, 690, 508, 35, 729, 202, 797, 338, 557, 159, 576, 307, 621, 44, 486, 762, 147, 738, 635, 696, 443, 79, 643, 745, 566, 159, 811, 404, 31, 203, 556, 53, 426, 670, 374, 850, 771, 491, 838, 482, 478, 705, 708, 844, 471, 140, 416, 732, 872, 421, 872, 687, 767, 153, 454, 28, 683, 869, 40, 635, 801, 91, 849, 852, 541, 817, 704, 741, 329, 152, 249, 565, 141, 150, 396, 848, 609, 372, 93, 235, 80, 195, 623, 801, 804, 734, 495, 597, 741, 273, 669, 379, 475, 583, 628, 74, 327, 843, 816, 509, 259, 336, 646, 854, 590, 320, 727, 394, 124, 840, 874, 366, 245, 340, 395, 153, 621, 688, 27, 274, 164, 223, 285, 728, 721, 270, 675, 397, 563, 316, 48, 84, 136}

    Returns: {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 }

  52. 828

    {221, 735, 214, 376, 51, 795, 328, 477, 142, 783, 405, 448, 88, 772, 399, 560, 680, 516, 221, 659, 788, 683, 695, 96, 754, 329, 673, 19, 282, 627, 518, 159, 411, 345, 790, 610, 497, 171, 60, 526, 98, 574, 268, 808, 162, 116, 767, 339, 457, 416, 172, 216, 53, 478, 241, 745, 383, 340, 424, 305, 723, 542, 208, 728, 111, 277, 646, 732, 685, 93, 614, 136, 779, 95, 359, 643, 285, 342, 814, 716, 808, 362, 823, 152, 763, 48, 464, 586, 296, 386, 258, 750, 68, 90, 439, 722, 282, 121, 774, 240, 670, 499, 25, 683, 348, 293, 405, 370, 236, 323, 330, 583, 570, 113, 143, 181, 620, 267, 527, 748, 233, 726, 378, 409, 256, 771, 291, 18, 468, 363, 66, 804, 355, 397, 191, 780, 247, 707, 540, 493, 325, 790, 441, 623, 498, 582, 442, 13, 195, 271, 483, 85, 364, 568, 145, 798, 470, 619, 513, 319, 277, 670, 131, 610, 192, 793, 811, 680, 710, 201, 448, 65, 391, 592, 647, 40, 452, 618, 436, 81, 133, 165, 41, 312, 102, 734, 618, 531, 698, 511, 286, 28, 33, 723, 558, 454, 597, 739, 782, 445, 69, 19, 192, 84, 504, 591, 608, 409, 663, 174, 210, 487, 148, 480, 180, 65, 793, 617, 737, 229, 555, 365, 66, 261, 222, 814, 648, 470, 715, 727, 672, 198, 402, 762, 310, 536, 815, 664, 337, 754, 569, 643, 481, 506, 572, 190, 61, 161, 394, 341, 8, 369, 623, 584, 534, 614, 514, 622, 635, 522, 745, 162, 282, 761, 660, 202, 30, 352, 331, 241, 590, 354, 642, 725, 756, 502, 520, 800, 425, 491, 652, 555, 134, 484, 302, 809, 694, 242, 80, 609, 2, 788, 68, 775, 187, 699, 667, 307, 166, 452, 644, 142, 63, 783, 450, 562, 251, 537, 475, 318, 153, 599, 621, 507, 404, 419, 240, 24, 720, 250, 190, 460, 82, 34, 289, 425, 663, 731, 678, 533, 73, 168, 809, 703, 226, 164, 267, 615, 568, 777, 653, 152, 554, 199, 284, 691, 325, 106, 805, 772, 302, 51, 707, 144, 380, 197, 156, 707, 631, 330, 17, 503, 818, 672, 755, 689, 356, 422, 308, 486, 176, 492, 121, 480, 655, 823, 101, 103, 253, 629, 115, 36, 28, 122, 538, 635, 697, 312, 449, 742, 69, 119, 712, 425, 79, 116, 349, 274, 756, 748, 150, 252, 815, 195, 606, 610, 640, 412, 633, 76, 521, 705, 812, 228, 37, 587, 186, 571, 510, 317, 721, 98, 391, 266, 437, 388, 785, 57, 239, 433, 420, 283, 260, 317, 786, 825, 732, 392, 95, 191, 106, 536, 189, 70, 204, 392, 355, 238, 565, 817, 92, 55, 312, 221, 812, 263, 71, 383, 749, 619, 634, 482, 788, 739, 641, 572, 791, 332, 156, 175, 396, 137, 143, 564, 49, 533, 139, 233, 559, 130, 573, 771, 798, 768, 581, 466, 822, 736, 411, 613, 364, 78, 816, 620, 165, 491, 536, 61, 760, 438, 441, 446, 361, 343, 27, 747, 807, 582, 551, 622, 181, 599, 86, 749, 603, 404, 466, 609, 20, 545, 315, 656, 29, 125, 797, 713, 666, 778, 566, 611, 73, 326, 601, 357, 303, 117, 367, 722, 681, 604, 482, 401, 155, 368, 296, 357, 362, 95, 621, 350, 255, 678, 606, 360, 716, 335, 271, 115, 15, 648, 186, 530, 166, 822, 403, 289, 673, 465, 651, 281, 385, 373, 329, 391, 473, 526, 803, 743, 227, 827, 230, 245, 268, 207, 134, 113, 213, 10, 336, 813, 651, 526, 560, 558, 216, 26, 33, 129, 484, 503, 551, 555, 77, 792, 507, 749, 32, 231, 363, 483, 65, 507, 416, 273, 232, 219, 77, 297, 441, 124, 158, 799, 418, 184, 731, 141, 462, 453, 438, 625, 331, 90, 453, 505, 571, 537, 396, 63, 12, 354, 776, 369, 249, 789, 548, 561, 21, 191, 656, 305, 231, 822, 108, 4, 625, 108, 144, 543, 182, 303, 329, 372, 151, 591, 730, 180, 765, 100, 594, 338, 639, 449, 475, 30, 214, 79, 16, 239, 440, 568, 796, 213, 355, 41, 75, 12, 251, 492, 400, 448, 332, 247, 232, 23, 510, 577, 742, 66, 167, 781, 535, 2, 176, 17, 736, 764, 85, 554, 149, 199, 490, 275, 545, 571, 50, 657, 99, 130, 825, 732, 394, 151, 258, 120, 718, 80, 647, 241, 233, 353, 789, 603, 121, 40, 578, 446, 45, 308, 758, 535, 803, 548, 723, 126, 659, 120, 41, 249, 442, 328, 665, 513, 608, 780, 410, 371, 733, 363, 350, 443, 164, 630, 118, 4, 474, 80, 579, 748, 305, 307, 374, 286, 453, 593, 782, 100, 311, 58, 427, 743, 585, 348, 772, 767, 686, 32, 131, 709, 324, 338, 25, 337, 380, 786, 512, 491, 204, 435, 621, 566, 388, 87, 57, 164, 785, 520, 439, 636, 327, 147, 414, 59, 309, 631, 675, 67, 193, 444, 345, 107, 301, 138, 616, 0, 593, 234, 721, 634, 756, 690, 814, 105, 515, 662, 266, 583, 280, 338, 382, 821, 813, 444, 490, 227, 0, 243, 103, 64, 540, 393, 101, 173, 310, 251, 552, 163, 333, 375, 537, 358, 341, 368, 662, 400, 356, 548, 553, 145, 811, 685, 335, 246, 518, 428, 472, 753, 213, 71, 709, 210, 664, 662, 692, 701, 356, 289, 194, 626, 119, 657, 416, 443, 442, 588, 352, 816, 129, 680, 43, 175, 271, 576, 31, 104, 531, 514, 73, 279, 126, 504, 782, 248, 542, 803, 179, 361, 292, 645, 759, 373, 805, 358, 760, 628, 68, 161, 357, 549, 506, 530, 240, 45, 376, 254, 664, 27, 551, 734, 54, 313, 790, 421, 669, 395, 452, 366, 255, 445, 769, 562, 730, 123, 301, 779, 658, 381, 755, 657, 113, 324, 59, 108, 403, 252, 379, 424, 485, 720, 816, 157, 747, 237, 563, 259, 311, 321, 102, 361, 125, 360, 439, 16, 279, 694, 153, 592, 161, 64, 351, 171, 590, 716, 686, 742, 179, 627, 476, 178, 824, 238, 544, 351, 370, 645, 809, 399, 1, 824, 559, 239, 345, 751, 382, 322, 141, 820, 290, 498, 445, 360, 711, 638, 696, 676, 292, 776, 11, 534, 823, 688, 125, 706, 626, 274, 465, 327, 346, 306, 182, 552, 203, 407, 750, 626, 628, 10, 322, 367, 540, 321, 4, 192, 487, 47, 525, 588, 557, 124, 339, 406, 314, 100, 476, 613, 616, 542, 793, 575, 676, 178, 7, 450, 27, 304, 547, 785, 826, 574, 612, 458, 483, 365, 597, 266, 19, 434, 139, 151, 763, 209, 800, 737, 313, 639, 300, 59, 172, 97, 415, 160, 511, 777, 632, 383, 682, 359, 522, 672, 339, 101, 354, 612, 180, 220, 11, 183, 296, 502, 751, 532, 600, 767, 668, 605, 50, 727, 399, 134, 660, 456, 254, 513, 510, 306, 76, 423, 272, 523, 463, 3, 116, 160, 435, 79, 389, 123, 323, 48, 142, 641, 11, 62, 601, 157, 600, 204, 332, 463, 797, 177, 559, 652, 115, 594, 632, 23, 344, 412, 141, 717, 527, 393, 798, 472, 310, 136, 351, 303, 314, 539, 652, 371, 299, 6, 800, 780, 462, 118, 628, 344, 632, 106, 228, 85, 24, 522, 246, 817, 249, 8, 6, 110, 103, 446, 498, 234, 226, 99, 258, 467, 197, 325, 721, 69, 478, 254, 17, 183, 605, 112, 820, 324, 535, 25, 423, 777, 602, 72, 418, 277, 436, 601, 827, 290, 211, 9, 503, 215, 167, 222, 501, 52}

    {775, 719, 611, 615, 724, 42, 53, 647, 367, 243, 49, 369, 475, 447, 580, 14, 313, 413, 300, 188, 715, 163, 719, 429, 211, 165, 426, 658, 238, 639, 714, 671, 34, 694, 602, 350, 334, 675, 265, 605, 235, 451, 591, 129, 287, 791, 428, 421, 270, 432, 190, 276, 731, 215, 454, 710, 588, 682, 235, 124, 259, 569, 567, 262, 700, 778, 316, 633, 668, 424, 753, 766, 820, 646, 454, 139, 590, 546, 701, 230, 127, 730, 49, 158, 461, 201, 802, 145, 208, 323, 645, 708, 22, 173, 824, 473, 207, 543, 750, 520, 374, 166, 684, 505, 556, 146, 796, 801, 200, 592, 62, 231, 194, 336, 39, 447, 517, 297, 549, 739, 765, 687, 22, 469, 2, 110, 162, 596, 471, 714, 538, 650, 818, 713, 758, 620, 495, 757, 784, 392, 36, 718, 794, 539, 805, 766, 374, 42, 298, 284, 262, 726, 596, 791, 55, 734, 565, 492, 764, 722, 18, 759, 437, 607, 315, 222, 159, 170, 562, 738, 304, 55, 269, 637, 509, 581, 733, 132, 373, 226, 270, 111, 146, 308, 567, 398, 257, 468, 346, 604, 544, 389, 236, 461, 697, 740, 674, 182, 331, 479, 704, 797, 326, 458, 83, 155, 21, 76, 556, 806, 578, 257, 44, 21, 171, 586, 274, 91, 757, 496, 717, 807, 660, 702, 818, 808, 554, 430, 390, 467, 301, 773, 624, 5, 272, 768, 209, 198, 389, 679, 38, 43, 58, 422, 316, 595, 126, 574, 735, 712, 564, 16, 479, 387, 53, 689, 56, 502, 298, 738, 217, 665, 629, 306, 792, 440, 499, 497, 23, 609, 752, 631, 608, 478, 553, 349, 299, 403, 160, 585, 711, 96, 236, 758, 208, 297, 185, 109, 654, 740, 487, 143, 827, 300, 206, 185, 671, 455, 52, 264, 278, 804, 541, 615, 299, 745, 636, 138, 538, 24, 469, 485, 344, 50, 386, 196, 395, 760, 405, 169, 807, 801, 429, 316, 644, 617, 105, 770, 217, 67, 281, 201, 603, 278, 36, 671, 114, 476, 521, 500, 519, 347, 398, 294, 691, 337, 81, 118, 770, 414, 260, 713, 362, 394, 509, 26, 415, 75, 174, 150, 150, 698, 196, 561, 775, 455, 781, 188, 205, 679, 655, 177, 0, 598, 806, 401, 653, 557, 667, 227, 627, 276, 39, 35, 224, 209, 640, 205, 263, 511, 410, 741, 109, 91, 622, 674, 387, 413, 283, 13, 220, 6, 84, 635, 408, 456, 558, 428, 624, 469, 683, 267, 751, 587, 432, 508, 578, 438, 252, 576, 186, 93, 43, 611, 343, 736, 58, 237, 261, 365, 524, 684, 567, 724, 31, 402, 466, 517, 572, 484, 215, 467, 495, 269, 486, 130, 436, 589, 459, 577, 679, 586, 112, 715, 687, 585, 432, 60, 255, 377, 56, 704, 390, 529, 550, 402, 674, 641, 193, 653, 187, 275, 390, 752, 74, 764, 70, 280, 573, 493, 534, 569, 762, 741, 459, 624, 468, 681, 646, 457, 577, 687, 370, 431, 401, 696, 119, 137, 318, 245, 317, 427, 753, 131, 340, 776, 172, 669, 659, 387, 414, 158, 519, 564, 114, 147, 411, 123, 8, 270, 426, 705, 801, 769, 298, 794, 404, 817, 155, 342, 819, 426, 40, 144, 533, 783, 650, 669, 83, 744, 410, 700, 268, 47, 260, 604, 202, 825, 193, 607, 285, 693, 813, 376, 761, 784, 691, 122, 550, 398, 688, 642, 46, 471, 229, 352, 594, 250, 223, 819, 412, 525, 314, 167, 766, 138, 728, 353, 372, 595, 761, 288, 244, 589, 321, 729, 821, 48, 154, 104, 82, 489, 636, 104, 81, 514, 579, 92, 128, 346, 422, 583, 206, 32, 434, 20, 224, 563, 518, 149, 9, 52, 71, 216, 488, 140, 7, 656, 397, 96, 552, 433, 3, 94, 328, 31, 630, 681, 288, 718, 570, 35, 175, 521, 245, 799, 72, 341, 427, 176, 89, 334, 456, 523, 618, 494, 530, 128, 1, 563, 717, 531, 7, 418, 602, 157, 744, 523, 795, 242, 796, 327, 781, 244, 440, 675, 197, 90, 326, 319, 122, 406, 792, 434, 443, 584, 644, 702, 500, 505, 74, 152, 525, 293, 500, 407, 14, 692, 211, 703, 415, 189, 819, 746, 638, 99, 358, 88, 654, 320, 247, 257, 174, 378, 333, 541, 812, 549, 105, 107, 3, 154, 613, 288, 499, 619, 778, 517, 633, 34, 695, 437, 696, 39, 384, 643, 393, 460, 381, 451, 170, 705, 295, 565, 377, 524, 663, 637, 128, 495, 556, 515, 763, 729, 353, 28, 380, 532, 581, 770, 786, 63, 557, 431, 704, 385, 264, 366, 89, 342, 253, 677, 708, 587, 740, 379, 200, 544, 651, 614, 430, 237, 504, 336, 229, 472, 184, 612, 524, 501, 449, 728, 214, 184, 462, 88, 493, 304, 458, 473, 153, 284, 146, 291, 550, 263, 400, 488, 292, 698, 519, 573, 42, 811, 112, 638, 576, 738, 629, 666, 546, 545, 35, 677, 528, 541, 135, 67, 699, 294, 228, 489, 261, 170, 729, 384, 210, 26, 47, 431, 92, 262, 132, 57, 546, 429, 765, 582, 97, 599, 408, 109, 561, 207, 54, 787, 642, 676, 375, 477, 388, 140, 733, 10, 347, 747, 83, 784, 433, 547, 242, 248, 795, 701, 320, 132, 368, 256, 580, 804, 375, 212, 244, 311, 173, 455, 485, 37, 497, 225, 773, 286, 225, 127, 279, 709, 496, 693, 727, 692, 37, 447, 600, 265, 278, 359, 486, 54, 70, 86, 617, 794, 287, 606, 471, 634, 232, 649, 275, 86, 746, 246, 463, 45, 287, 307, 135, 810, 430, 516, 661, 719, 649, 640, 378, 501, 735, 648, 203, 598, 450, 149, 787, 169, 178, 682, 743, 5, 295, 789, 234, 677, 136, 44, 826, 714, 752, 539, 12, 217, 757, 29, 494, 802, 218, 661, 826, 688, 61, 420, 457, 187, 746, 417, 269, 98, 347, 700, 29, 72, 89, 529, 223, 461, 385, 33, 302, 689, 407, 243, 724, 703, 320, 699, 684, 386, 203, 253, 199, 528, 20, 658, 806, 695, 291, 140, 117, 773, 397, 372, 529, 294, 474, 235, 1, 64, 114, 51, 762, 616, 185, 726, 318, 273, 665, 464, 212, 381, 623, 117, 802, 417, 810, 580, 15, 163, 666, 87, 720, 377, 366, 508, 678, 419, 169, 589, 566, 93, 13, 821, 188, 769, 725, 9, 697, 168, 276, 685, 335, 200, 490, 673, 256, 553, 413, 60, 598, 82, 655, 183, 74, 309, 787, 133, 702, 110, 516, 527, 667, 198, 396, 44, 515, 334, 744, 481, 264, 506, 710, 815, 348, 799, 408, 181, 218, 46, 654, 343, 259, 195, 496, 75, 543, 309, 755, 133, 595, 272, 135, 91, 547, 202, 137, 265, 423, 474, 168, 706, 686, 333, 630, 481, 528, 330, 281, 435, 102, 584, 78, 575, 670, 371, 650, 212, 46, 768, 159, 579, 224, 607, 250, 712, 148, 230, 62, 477, 382, 295, 771, 494, 597, 56, 406, 349, 120, 460, 637, 14, 668, 156, 147, 409, 470, 206, 459, 754, 512, 38, 218, 225, 87, 779, 219, 315, 593, 194, 512, 94, 179, 223, 532, 509, 5, 219, 97, 319, 107, 444, 111, 479, 464, 94, 417, 148, 570, 690, 421, 774, 690, 15, 154, 725, 706, 78, 649, 560, 290, 18, 575, 285, 395, 38, 480, 420, 661, 625, 273, 596, 810, 741, 280, 322, 177, 482, 774, 465, 220, 488, 489, 205, 711, 84, 189, 283, 340, 737, 384, 77, 508, 364, 196, 759, 22, 248, 127, 693, 293, 708, 379, 419, 451, 30}

    Returns: {0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0 }

  53. 860

    {370, 392, 49, 123, 730, 819, 237, 287, 288, 171, 222, 191, 651, 114, 165, 392, 510, 201, 600, 706, 597, 83, 374, 145, 158, 103, 797, 857, 257, 625, 235, 251, 128, 781, 53, 281, 251, 502, 807, 77, 253, 41, 398, 535, 225, 172, 754, 505, 718, 116, 205, 843, 799, 249, 244, 797, 506, 499, 70, 570, 840, 170, 435, 546, 204, 285, 107, 736, 709, 756, 372, 660, 278, 815, 845, 843, 485, 143, 135, 339, 81, 579, 227, 663, 738, 243, 601, 425, 785, 43, 752, 711, 230, 411, 188, 478, 34, 781, 1, 834, 146, 481, 599, 106, 210, 29, 257, 280, 299, 661, 387, 235, 8, 538, 359, 443, 156, 316, 380, 1, 489, 658, 578, 492, 348, 266, 284, 849, 439, 854, 319, 808, 120, 614, 30, 386, 37, 673, 821, 172, 742, 90, 591, 66, 516, 137, 60, 240, 105, 163, 458, 515, 377, 758, 103, 112, 335, 38, 675, 285, 829, 749, 827, 199, 760, 558, 52, 29, 263, 461, 491, 70, 334, 671, 469, 139, 819, 827, 656, 687, 859, 294, 398, 215, 250, 462, 389, 528, 839, 149, 255, 249, 750, 715, 744, 525, 790, 447, 740, 443, 694, 759, 411, 147, 502, 525, 115, 813, 194, 190, 534, 224, 787, 153, 628, 429, 593, 248, 625, 726, 573, 162, 516, 563, 338, 2, 829, 740, 542, 212, 598, 6, 619, 202, 311, 450, 200, 295, 664, 188, 700, 590, 40, 823, 470, 817, 522, 66, 609, 118, 856, 362, 503, 344, 91, 711, 181, 129, 299, 512, 145, 121, 400, 753, 783, 800, 595, 95, 793, 852, 158, 587, 232, 705, 176, 96, 493, 76, 807, 424, 784, 56, 510, 199, 417, 101, 59, 719, 687, 150, 577, 576, 840, 189, 253, 148, 58, 360, 558, 374, 120, 213, 789, 453, 837, 776, 475, 318, 428, 513, 434, 117, 485, 232, 214, 513, 717, 26, 563, 832, 267, 244, 200, 771, 695, 178, 167, 559, 418, 742, 585, 283, 692, 519, 50, 140, 173, 109, 798, 523, 239, 415, 647, 655, 274, 743, 752, 849, 85, 708, 58, 264, 788, 833, 28, 263, 282, 93, 426, 439, 41, 713, 292, 834, 593, 604, 215, 185, 369, 673, 495, 350, 33, 143, 610, 49, 577, 297, 638, 818, 572, 160, 730, 293, 65, 554, 74, 151, 73, 837, 519, 493, 825, 317, 180, 578, 831, 393, 543, 464, 19, 178, 397, 793, 680, 203, 529, 576, 348, 393, 789, 345, 122, 757, 334, 311, 587, 726, 535, 67, 47, 638, 566, 561, 462, 795, 722, 339, 524, 754, 72, 25, 298, 836, 568, 229, 209, 349, 715, 275, 238, 499, 648, 432, 90, 93, 61, 540, 609, 614, 187, 632, 728, 444, 42, 169, 790, 574, 300, 305, 559, 104, 759, 515, 733, 483, 719, 826, 108, 524, 760, 360, 427, 612, 585, 676, 391, 446, 89, 704, 776, 258, 357, 457, 358, 219, 630, 847, 859, 621, 371, 856, 345, 521, 619, 520, 617, 532, 767, 628, 59, 2, 220, 122, 308, 185, 637, 597, 785, 309, 400, 707, 373, 544, 253, 156, 814, 63, 124, 290, 211, 768, 289, 736, 782, 691, 417, 99, 482, 231, 379, 153, 751, 823, 675, 340, 610, 580, 11, 517, 642, 4, 564, 574, 394, 424, 318, 780, 31, 212, 598, 696, 167, 452, 12, 586, 811, 517, 814, 602, 746, 726, 334, 352, 470, 282, 564, 68, 278, 720, 70, 831, 191, 432, 13, 355, 570, 16, 292, 855, 603, 71, 751, 109, 545, 8, 177, 844, 688, 747, 159, 376, 591, 474, 674, 715, 230, 431, 227, 250, 29, 703, 94, 430, 707, 854, 215, 127, 303, 20, 797, 676, 704, 668, 48, 317, 144, 501, 679, 173, 113, 838, 292, 774, 219, 171, 216, 466, 702, 401, 301, 213, 49, 331, 227, 526, 466, 13, 283, 311, 696, 174, 14, 514, 144, 404, 408, 31, 563, 297, 678, 565, 96, 177, 261, 458, 445, 304, 748, 32, 412, 249, 675, 37, 571, 841, 188, 582, 41, 379, 548, 129, 842, 455, 827, 702, 209, 509, 366, 39, 390, 315, 765, 446, 112, 278, 851, 597, 250, 286, 69, 525, 850, 637, 622, 48, 434, 791, 195, 317, 537, 678, 486, 829, 634, 325, 536, 128, 668, 513, 451, 131, 16, 373, 258, 381, 600, 766, 519, 507, 758, 9, 320, 255, 415, 216, 601, 802, 78, 718, 810, 394, 774, 119, 397, 351, 113, 588, 794, 8, 813, 214, 736, 729, 362, 575, 105, 191, 669, 434, 816, 337, 290, 101, 64, 234, 786, 630, 316, 590, 220, 101, 92, 389, 636, 643, 324, 210, 637, 17, 509, 584, 526, 312, 197, 825, 578, 501, 512, 123, 728, 657, 308, 340, 596, 599, 298, 121, 375, 149, 104, 265, 662, 833, 91, 248, 44, 390, 631, 441, 558, 679, 21, 327, 742, 655, 168, 355, 644, 107, 626, 785, 365, 463, 361, 372, 779, 810, 283, 436, 503, 303, 84, 306, 851, 555, 605, 504, 533, 588, 286, 439, 501, 581, 142, 663, 652, 670, 461, 144, 0, 521, 755, 336, 21, 628, 75, 421, 121, 98, 382, 401, 603, 575, 514, 176, 202, 308, 375, 482, 677, 407, 305, 288, 241, 514, 298, 218, 197, 693, 419, 751, 473, 419, 207, 699, 32, 260, 479, 667, 788, 855, 750, 581, 237, 86, 252, 352, 623, 226, 839, 471, 233, 327, 801, 82, 132, 301, 14, 474, 46, 692, 193, 630, 581, 54, 820, 260, 210, 392, 537, 626, 800, 326, 830, 546, 393, 500, 504, 255, 369, 410, 254, 710, 11, 512, 346, 325, 609, 354, 610, 27, 221, 28, 600, 246, 400, 330, 497, 685, 622, 456, 409, 291, 151, 34, 169, 34, 838, 64, 194, 418, 187, 812, 425, 546, 78, 234, 201, 541, 809, 75, 672, 286, 358, 644, 212, 417, 62, 42, 460, 420, 703, 277, 95, 402, 708, 3, 836, 347, 0, 841, 214, 794, 820, 195, 734, 729, 819, 589, 795, 651, 700, 237, 447, 857, 499, 352, 124, 522, 559, 599, 61, 231, 23, 51, 450, 729, 166, 315, 537, 172, 830, 259, 458, 787, 316, 821, 674, 781, 313, 25, 755, 63, 652, 669, 487, 802, 12, 548, 288, 376, 686, 684, 780, 778, 105, 560, 427, 110, 7, 363, 676, 839, 81, 528, 465, 363, 644, 587, 801, 397, 667, 753, 53, 484, 852, 160, 78, 228, 365, 759, 753, 91, 816, 534, 608, 508, 508, 142, 149, 341, 319, 712, 232, 540, 229, 655, 719, 21, 635, 159, 384, 354, 43, 261, 240, 241, 359, 632, 199, 467, 22, 218, 50, 511, 72, 152, 7, 541, 809, 543, 353, 330, 24, 3, 580, 688, 185, 168, 687, 312, 782, 260, 544, 835, 824, 788, 641, 79, 315, 139, 534, 454, 789, 582, 484, 669, 211, 195, 454, 209, 386, 99, 429, 596, 163, 612, 840, 799, 421, 611, 709, 116, 502, 359, 554, 767, 270, 702, 727, 120, 485, 638, 743, 141, 595, 128, 378, 517, 464, 207, 606, 604, 562, 274, 340, 741, 102, 762, 107, 623, 373, 59, 240, 735, 493, 684, 612, 33, 774, 30, 99, 741, 328, 483, 495, 821, 602, 302, 87, 842, 95, 479, 801, 601, 381, 45, 688, 530, 202, 399, 402, 135, 96, 422, 595, 694, 769, 194, 279, 699, 768, 472, 778, 592, 426, 69, 618, 165, 84, 35, 175, 72, 115, 508, 792, 787, 141, 488, 242, 566, 467, 426, 274, 627, 428, 275, 768, 539, 321, 152, 473, 594, 479, 724, 117, 5, 572, 118, 738, 572, 323, 11, 71, 529, 497, 765, 173, 448, 60, 134, 510, 670, 139, 769, 198, 333, 697, 806, 506, 405, 408, 137, 306, 279, 547, 837, 135, 796, 765, 681, 50, 154, 538, 468, 14, 40, 727, 356}

    {395, 693, 611, 221, 832, 524, 294, 762, 852, 698, 853, 245, 331, 365, 784, 83, 6, 607, 822, 607, 703, 624, 164, 472, 659, 561, 717, 639, 735, 337, 846, 706, 239, 24, 205, 53, 627, 399, 549, 137, 80, 591, 100, 407, 490, 696, 98, 330, 281, 846, 16, 390, 309, 722, 10, 56, 131, 491, 695, 18, 243, 741, 361, 349, 527, 346, 203, 242, 579, 280, 480, 245, 259, 383, 84, 55, 538, 494, 835, 343, 666, 189, 169, 162, 775, 449, 850, 15, 367, 133, 640, 459, 500, 496, 129, 379, 547, 371, 660, 516, 367, 208, 67, 856, 343, 749, 739, 433, 410, 804, 115, 527, 495, 416, 790, 766, 624, 576, 104, 329, 816, 57, 706, 804, 468, 431, 111, 705, 490, 489, 849, 90, 118, 44, 475, 246, 224, 268, 159, 300, 555, 127, 620, 35, 850, 151, 193, 858, 815, 55, 20, 552, 36, 364, 681, 846, 551, 299, 27, 757, 778, 755, 826, 463, 64, 652, 247, 648, 654, 739, 766, 631, 603, 342, 18, 571, 296, 435, 507, 222, 723, 855, 456, 532, 831, 440, 287, 659, 44, 338, 680, 238, 184, 156, 771, 377, 262, 332, 222, 100, 647, 264, 189, 674, 351, 505, 691, 845, 427, 109, 520, 814, 542, 848, 68, 567, 313, 847, 645, 266, 683, 588, 664, 270, 414, 322, 186, 786, 636, 619, 686, 314, 268, 254, 671, 613, 102, 678, 272, 193, 184, 836, 313, 333, 138, 750, 150, 395, 635, 10, 673, 312, 770, 799, 812, 273, 186, 161, 617, 445, 531, 17, 0, 40, 25, 234, 377, 310, 567, 13, 721, 806, 335, 245, 46, 405, 89, 453, 367, 577, 604, 717, 539, 757, 321, 108, 381, 86, 786, 464, 370, 223, 533, 414, 656, 48, 155, 162, 569, 269, 551, 133, 171, 197, 42, 82, 732, 494, 567, 617, 23, 276, 416, 10, 640, 38, 355, 157, 26, 689, 653, 818, 745, 124, 731, 448, 320, 594, 79, 304, 553, 770, 739, 302, 718, 207, 18, 242, 818, 749, 356, 35, 382, 300, 28, 332, 553, 329, 598, 824, 208, 451, 467, 67, 701, 618, 518, 272, 859, 582, 545, 616, 694, 804, 562, 737, 378, 832, 155, 106, 206, 854, 247, 233, 579, 728, 465, 509, 733, 551, 329, 805, 307, 505, 437, 775, 498, 77, 858, 477, 52, 226, 641, 457, 761, 201, 654, 357, 650, 522, 477, 27, 347, 428, 615, 478, 769, 731, 568, 73, 154, 341, 97, 463, 337, 605, 530, 183, 328, 138, 310, 22, 125, 805, 633, 575, 136, 762, 488, 733, 556, 824, 391, 192, 682, 364, 20, 413, 624, 748, 136, 629, 640, 264, 498, 492, 410, 436, 764, 542, 646, 346, 540, 217, 844, 166, 773, 544, 403, 803, 307, 621, 680, 438, 803, 496, 515, 164, 9, 343, 130, 848, 182, 409, 460, 254, 258, 217, 231, 47, 796, 589, 707, 148, 654, 270, 119, 690, 125, 423, 596, 268, 224, 737, 111, 75, 38, 184, 583, 88, 344, 412, 196, 61, 220, 699, 102, 93, 807, 12, 157, 634, 374, 238, 408, 716, 37, 5, 295, 321, 449, 354, 623, 190, 324, 851, 143, 471, 556, 746, 203, 88, 273, 170, 3, 152, 483, 97, 235, 724, 276, 569, 52, 136, 667, 368, 420, 608, 549, 284, 539, 403, 471, 196, 344, 80, 723, 796, 269, 77, 89, 466, 132, 633, 833, 103, 302, 88, 110, 531, 134, 550, 486, 228, 507, 331, 15, 281, 364, 792, 608, 176, 291, 618, 620, 761, 170, 477, 782, 138, 498, 690, 248, 533, 552, 83, 435, 183, 772, 550, 523, 661, 701, 416, 784, 175, 700, 69, 553, 557, 635, 350, 310, 325, 536, 148, 657, 481, 336, 570, 698, 266, 92, 198, 735, 442, 815, 835, 277, 30, 716, 43, 562, 528, 844, 568, 179, 714, 401, 333, 583, 383, 802, 668, 424, 126, 714, 489, 511, 653, 459, 763, 51, 440, 406, 710, 271, 550, 17, 98, 322, 574, 448, 269, 518, 720, 584, 666, 712, 147, 532, 60, 613, 480, 361, 394, 557, 198, 665, 421, 353, 145, 800, 54, 116, 62, 452, 664, 304, 79, 808, 293, 272, 745, 557, 457, 406, 218, 683, 469, 697, 327, 705, 181, 357, 685, 810, 713, 665, 23, 432, 504, 565, 164, 5, 309, 62, 629, 33, 80, 92, 506, 590, 615, 657, 174, 834, 725, 776, 763, 332, 396, 267, 140, 830, 399, 632, 360, 853, 180, 262, 648, 445, 503, 682, 745, 375, 1, 756, 261, 31, 780, 233, 9, 724, 384, 853, 573, 731, 192, 387, 86, 476, 339, 614, 633, 518, 488, 795, 275, 267, 161, 236, 409, 106, 646, 779, 58, 271, 631, 256, 368, 691, 376, 24, 747, 63, 748, 383, 496, 734, 396, 167, 747, 791, 712, 616, 55, 134, 529, 4, 716, 154, 295, 783, 453, 15, 56, 647, 291, 147, 146, 767, 285, 230, 418, 251, 743, 592, 649, 592, 585, 813, 606, 387, 783, 823, 554, 449, 848, 820, 225, 208, 444, 431, 45, 643, 336, 822, 465, 157, 271, 523, 301, 289, 153, 422, 639, 481, 305, 476, 87, 645, 280, 366, 206, 158, 452, 216, 133, 620, 182, 22, 714, 779, 685, 589, 812, 76, 345, 323, 711, 772, 239, 487, 646, 803, 671, 2, 277, 621, 114, 378, 372, 4, 438, 773, 462, 460, 556, 713, 662, 318, 459, 66, 130, 645, 679, 6, 243, 71, 257, 161, 140, 455, 480, 54, 450, 389, 341, 526, 552, 126, 289, 388, 413, 634, 213, 775, 447, 708, 122, 721, 663, 527, 521, 113, 366, 738, 491, 414, 777, 454, 94, 461, 841, 26, 293, 223, 665, 828, 629, 236, 273, 725, 642, 473, 117, 142, 658, 407, 444, 825, 791, 672, 580, 484, 404, 627, 323, 672, 353, 168, 446, 263, 476, 111, 420, 822, 772, 303, 290, 492, 396, 47, 391, 155, 777, 320, 388, 192, 472, 752, 740, 455, 573, 7, 732, 287, 385, 756, 659, 817, 792, 615, 39, 398, 643, 744, 828, 730, 470, 97, 150, 406, 405, 342, 87, 19, 246, 348, 403, 347, 110, 45, 204, 695, 127, 626, 811, 256, 555, 560, 385, 569, 200, 727, 314, 437, 817, 586, 677, 112, 566, 132, 186, 174, 684, 328, 602, 380, 798, 175, 616, 541, 651, 395, 244, 758, 180, 415, 388, 265, 436, 763, 82, 656, 324, 658, 793, 583, 451, 593, 284, 549, 252, 625, 771, 744, 179, 709, 693, 486, 690, 363, 611, 382, 76, 438, 326, 764, 808, 126, 443, 500, 639, 543, 607, 773, 698, 594, 423, 754, 39, 205, 219, 482, 677, 423, 666, 51, 858, 843, 441, 371, 178, 413, 681, 689, 425, 794, 697, 571, 342, 722, 183, 369, 380, 187, 217, 720, 282, 422, 842, 442, 490, 57, 433, 474, 429, 613, 622, 531, 662, 683, 845, 36, 468, 211, 65, 857, 649, 411, 686, 225, 252, 131, 114, 511, 265, 497, 798, 430, 32, 536, 642, 36, 356, 548, 760, 828, 119, 535, 165, 256, 94, 847, 177, 433, 296, 478, 326, 826, 65, 73, 692, 746, 125, 362, 564, 297, 770, 68, 440, 306, 338, 761, 74, 259, 247, 475, 221, 704, 412, 370, 661, 437, 710, 160, 806, 721, 670, 385, 179, 146, 520, 163, 229, 650, 606, 641, 689, 100, 386, 181, 732, 723, 74, 358, 737, 262, 368, 350, 226, 196, 349, 294, 636, 547, 296, 190, 560, 734, 811, 701, 241, 228, 46, 456, 85, 494, 545, 19, 307, 322, 57, 141, 402, 660, 335, 764, 319, 81, 204, 206, 650, 487, 404, 469, 777, 584, 123, 85, 351, 561, 441, 653, 605, 236, 279, 108, 809, 586, 725, 182, 530, 276, 166, 838, 130, 384, 805, 565, 442, 430, 682, 314, 649, 223, 419}

    Returns: {0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0 }

  54. 960

    {623, 603, 50, 15, 25, 780, 26, 222, 597, 710, 726, 845, 581, 481, 14, 852, 776, 299, 870, 381, 875, 213, 375, 317, 690, 465, 131, 11, 797, 908, 372, 37, 159, 448, 944, 287, 682, 794, 167, 50, 958, 831, 759, 276, 653, 513, 359, 820, 438, 839, 403, 99, 899, 303, 18, 696, 844, 929, 845, 818, 946, 311, 10, 440, 719, 757, 129, 55, 87, 385, 871, 475, 529, 714, 235, 342, 857, 348, 856, 439, 826, 22, 498, 180, 327, 24, 472, 271, 607, 789, 53, 842, 796, 731, 718, 488, 154, 321, 580, 59, 499, 946, 545, 842, 151, 397, 182, 271, 198, 550, 752, 882, 352, 145, 813, 81, 46, 868, 911, 544, 447, 486, 227, 828, 948, 471, 418, 51, 394, 343, 83, 598, 445, 54, 186, 919, 111, 407, 379, 536, 832, 933, 155, 113, 587, 57, 338, 259, 865, 618, 185, 944, 401, 568, 281, 344, 186, 900, 796, 818, 485, 619, 578, 37, 879, 846, 727, 399, 924, 432, 569, 235, 77, 205, 770, 55, 621, 676, 147, 549, 405, 588, 562, 746, 514, 138, 161, 185, 729, 938, 588, 141, 440, 415, 571, 518, 491, 105, 114, 413, 355, 51, 889, 432, 827, 666, 586, 727, 716, 346, 563, 542, 214, 778, 31, 617, 63, 176, 866, 303, 942, 52, 799, 850, 146, 671, 646, 360, 399, 909, 218, 454, 263, 635, 394, 540, 142, 355, 310, 844, 349, 129, 672, 561, 314, 685, 43, 188, 369, 747, 733, 282, 921, 721, 467, 706, 26, 354, 955, 396, 35, 473, 812, 823, 540, 543, 139, 234, 641, 200, 812, 918, 223, 573, 897, 583, 87, 170, 80, 774, 423, 737, 167, 846, 86, 890, 30, 75, 906, 653, 716, 957, 418, 199, 878, 472, 191, 454, 837, 86, 927, 824, 768, 852, 699, 10, 611, 99, 176, 798, 204, 70, 877, 272, 214, 280, 772, 390, 191, 575, 579, 795, 907, 714, 481, 606, 431, 640, 220, 434, 605, 539, 330, 765, 668, 854, 216, 362, 541, 669, 308, 446, 652, 602, 63, 666, 5, 510, 920, 370, 464, 957, 510, 279, 953, 545, 542, 786, 337, 115, 407, 355, 110, 487, 754, 328, 395, 451, 109, 680, 455, 376, 591, 311, 173, 575, 41, 559, 205, 25, 661, 286, 851, 37, 65, 553, 598, 473, 619, 189, 502, 571, 325, 643, 923, 942, 947, 706, 811, 463, 847, 533, 730, 183, 456, 927, 898, 535, 23, 132, 184, 937, 201, 359, 914, 308, 695, 448, 385, 247, 343, 48, 872, 146, 123, 719, 400, 256, 739, 759, 474, 953, 122, 777, 27, 96, 610, 657, 575, 183, 897, 694, 287, 408, 588, 940, 859, 311, 447, 515, 589, 237, 81, 844, 109, 295, 873, 505, 363, 43, 932, 178, 121, 130, 47, 643, 840, 779, 765, 436, 488, 702, 828, 889, 925, 275, 257, 753, 76, 867, 280, 777, 314, 397, 327, 734, 855, 639, 383, 684, 435, 803, 276, 913, 666, 95, 825, 374, 807, 943, 275, 649, 236, 224, 749, 254, 319, 467, 414, 749, 833, 384, 509, 437, 416, 338, 709, 756, 176, 123, 443, 667, 80, 723, 834, 839, 644, 671, 880, 811, 82, 445, 642, 52, 713, 111, 625, 698, 912, 224, 270, 136, 437, 305, 10, 189, 583, 861, 373, 118, 207, 814, 356, 902, 102, 828, 674, 160, 73, 28, 334, 49, 225, 440, 33, 717, 618, 637, 573, 849, 547, 201, 189, 518, 296, 402, 722, 428, 723, 674, 678, 919, 538, 955, 408, 890, 675, 822, 378, 60, 601, 237, 248, 379, 188, 608, 220, 494, 798, 838, 249, 568, 178, 57, 67, 244, 663, 96, 829, 721, 87, 74, 562, 531, 301, 868, 827, 456, 519, 523, 764, 708, 322, 757, 546, 725, 499, 704, 630, 12, 920, 469, 761, 420, 809, 459, 853, 346, 323, 129, 352, 270, 801, 282, 479, 132, 494, 768, 470, 385, 677, 287, 658, 239, 583, 68, 487, 191, 457, 3, 469, 247, 919, 445, 928, 258, 439, 321, 869, 435, 66, 240, 873, 204, 934, 730, 249, 444, 347, 908, 906, 270, 144, 618, 751, 712, 843, 250, 480, 950, 451, 711, 550, 47, 662, 698, 164, 419, 491, 269, 17, 805, 108, 20, 289, 148, 959, 113, 913, 306, 887, 552, 46, 761, 565, 638, 375, 595, 74, 347, 945, 504, 272, 762, 404, 85, 128, 426, 106, 89, 935, 7, 864, 690, 633, 100, 524, 459, 172, 57, 276, 790, 71, 259, 479, 624, 34, 171, 660, 933, 256, 339, 755, 675, 880, 302, 29, 763, 280, 755, 646, 740, 6, 549, 695, 658, 18, 530, 515, 390, 806, 90, 921, 902, 51, 240, 877, 182, 407, 493, 478, 931, 11, 788, 237, 198, 211, 515, 910, 736, 277, 874, 320, 705, 466, 163, 261, 107, 194, 773, 0, 775, 127, 524, 665, 827, 638, 269, 180, 110, 702, 768, 252, 524, 898, 793, 595, 66, 914, 901, 528, 921, 69, 169, 392, 20, 839, 522, 83, 5, 408, 876, 366, 537, 413, 112, 395, 941, 228, 829, 916, 720, 220, 865, 504, 294, 512, 27, 660, 914, 700, 453, 928, 710, 905, 722, 388, 519, 688, 376, 685, 552, 651, 598, 715, 123, 430, 559, 433, 395, 516, 467, 140, 501, 658, 657, 834, 791, 279, 148, 168, 843, 661, 662, 830, 651, 866, 873, 169, 304, 146, 785, 489, 762, 775, 202, 254, 662, 361, 625, 901, 48, 441, 58, 737, 773, 867, 379, 421, 1, 172, 430, 956, 234, 387, 155, 456, 438, 631, 522, 67, 341, 437, 665, 219, 307, 238, 538, 508, 853, 846, 44, 389, 410, 101, 11, 20, 157, 156, 284, 526, 747, 377, 252, 121, 569, 461, 97, 273, 629, 116, 528, 756, 655, 642, 895, 47, 849, 348, 644, 62, 877, 227, 472, 107, 436, 13, 291, 859, 241, 234, 213, 730, 204, 882, 602, 225, 761, 502, 821, 878, 679, 242, 158, 807, 497, 697, 112, 429, 869, 319, 752, 475, 312, 131, 893, 73, 765, 247, 303, 192, 544, 44, 137, 138, 313, 819, 959, 746, 777, 790, 78, 480, 73, 378, 633, 366, 817, 370, 514, 149, 683, 424, 444, 779, 494, 697, 153, 167, 305, 217, 162, 383, 885, 477, 275, 381, 708, 835, 784, 138, 198, 734, 172, 586, 747, 871, 621, 718, 312, 380, 382, 806, 25, 590, 88, 319, 243, 684, 9, 654, 940, 367, 815, 243, 121, 216, 110, 627, 180, 928, 951, 862, 608, 950, 478, 260, 376, 525, 820, 38, 725, 867, 260, 829, 130, 720, 222, 957, 530, 365, 178, 800, 811, 296, 626, 392, 286, 778, 229, 866, 193, 763, 325, 115, 520, 28, 217, 38, 474, 697, 937, 617, 717, 95, 386, 651, 647, 739, 320, 130, 745, 163, 363, 626, 850, 628, 780, 536, 606, 489, 673, 292, 525, 924, 80, 552, 884, 736, 162, 688, 805, 709, 864, 126, 414, 545, 281, 327, 878, 406, 729, 142, 454, 641, 30, 137, 633, 954, 293, 343, 304, 197, 222, 681, 430, 869, 286, 691, 122, 209, 436, 785, 745, 331, 230, 707, 398, 183, 273, 360, 930, 103, 466, 710, 673, 238, 540, 911, 149, 332, 326, 534, 194, 338, 753, 404, 632, 44, 433, 98, 310, 558, 388, 896, 465, 403, 565, 766, 365, 325, 90, 328, 822, 671, 402, 562, 516, 894, 943, 253, 509, 910, 371, 835, 502, 693, 230, 332, 801, 628, 228, 9, 493, 637, 288, 949, 800, 489, 453, 561, 209, 232, 229, 89, 863, 958, 251, 425, 441, 523, 90, 285, 815, 150, 156, 443, 841, 353, 903, 627, 33, 373, 687, 242, 388, 19, 601, 740, 885, 804, 825, 741, 591, 636, 496, 351, 582, 823, 439, 127, 481, 616, 714, 94, 383, 624, 118, 277, 833, 409, 55, 133, 611, 619, 315, 759, 144, 885, 912, 386, 14, 238, 955, 165, 125, 277, 83, 692, 34, 259, 154, 750, 816, 477, 313, 397, 195, 318, 500, 184, 389, 151, 240, 594, 805, 208, 534, 508, 314, 508, 285, 41, 708, 779, 477, 750, 854, 704, 142, 77, 892, 243, 482, 573, 639, 229, 210, 654, 559, 948, 610, 904, 691, 317, 434, 755, 530, 487, 450, 690, 144, 644, 182, 468, 438, 281, 264, 151, 405, 682, 309, 945, 147, 119, 262, 200, 202, 228, 783, 607, 387, 19, 862, 24, 865, 872, 778, 858, 627, 427, 638, 536, 629, 36, 36, 857, 826, 399, 936, 100, 6, 775, 163, 579, 576, 682, 448, 460, 903, 285, 500, 941, 492, 465, 640, 70, 553, 543, 384, 809, 883, 769, 553, 152, 332, 421, 809, 621, 30, 483, 1, 300, 767, 595, 82, 68, 676, 954, 594}

    {350, 411, 457, 452, 551, 199, 352, 616, 265, 254, 393, 558, 298, 599, 954, 918, 91, 231, 424, 833, 548, 283, 694, 345, 207, 630, 161, 560, 96, 735, 345, 317, 615, 271, 210, 907, 735, 147, 652, 886, 503, 556, 519, 817, 600, 735, 367, 322, 35, 366, 203, 84, 365, 88, 831, 266, 584, 107, 56, 267, 361, 912, 937, 164, 85, 16, 527, 453, 334, 113, 507, 587, 104, 102, 794, 732, 223, 40, 944, 631, 543, 33, 318, 635, 855, 712, 505, 572, 797, 729, 72, 635, 861, 452, 294, 374, 223, 187, 620, 645, 932, 358, 309, 743, 464, 410, 331, 364, 876, 713, 29, 400, 268, 634, 345, 504, 359, 105, 135, 344, 94, 888, 84, 261, 82, 850, 427, 841, 920, 942, 5, 858, 263, 413, 206, 76, 368, 347, 374, 659, 432, 505, 341, 532, 187, 570, 6, 202, 378, 518, 620, 808, 412, 795, 98, 486, 673, 859, 909, 576, 703, 455, 360, 41, 503, 145, 636, 723, 951, 369, 159, 262, 245, 92, 181, 614, 581, 615, 592, 834, 694, 61, 709, 764, 835, 403, 357, 624, 284, 724, 535, 45, 59, 479, 744, 547, 471, 458, 26, 291, 506, 522, 309, 783, 31, 64, 939, 639, 564, 297, 611, 547, 741, 278, 72, 265, 241, 493, 209, 208, 630, 177, 780, 491, 329, 323, 457, 431, 936, 192, 353, 131, 8, 335, 495, 425, 750, 443, 900, 94, 871, 509, 476, 464, 128, 700, 612, 315, 832, 574, 895, 915, 7, 570, 838, 851, 268, 148, 46, 823, 792, 537, 810, 306, 150, 334, 620, 246, 358, 794, 256, 124, 346, 767, 98, 934, 18, 925, 849, 612, 91, 738, 640, 880, 791, 490, 875, 574, 125, 874, 219, 616, 255, 785, 330, 571, 803, 326, 70, 831, 22, 213, 700, 420, 569, 384, 78, 227, 101, 803, 344, 135, 396, 856, 470, 211, 613, 622, 166, 890, 689, 190, 929, 14, 308, 845, 283, 215, 787, 554, 566, 523, 203, 17, 626, 645, 119, 292, 221, 354, 599, 394, 215, 596, 743, 696, 724, 168, 495, 120, 926, 563, 390, 246, 861, 273, 881, 810, 181, 393, 7, 705, 377, 362, 566, 91, 757, 349, 21, 949, 289, 820, 784, 468, 686, 896, 139, 231, 486, 133, 495, 766, 1, 372, 134, 596, 924, 689, 289, 337, 211, 956, 255, 776, 201, 79, 226, 165, 239, 422, 196, 392, 375, 242, 476, 290, 356, 61, 54, 206, 521, 590, 449, 858, 97, 577, 923, 253, 788, 370, 648, 230, 22, 764, 284, 117, 531, 786, 4, 304, 664, 32, 301, 701, 65, 607, 887, 452, 49, 840, 333, 686, 929, 171, 313, 226, 864, 27, 584, 461, 174, 825, 218, 81, 483, 99, 795, 681, 797, 492, 358, 368, 649, 623, 354, 423, 706, 115, 262, 935, 945, 681, 684, 264, 266, 444, 787, 656, 608, 253, 157, 218, 305, 217, 647, 69, 599, 333, 0, 843, 248, 166, 687, 738, 528, 52, 336, 71, 837, 772, 774, 950, 120, 63, 655, 177, 161, 751, 85, 274, 893, 590, 290, 299, 670, 371, 53, 126, 89, 441, 84, 186, 712, 802, 741, 401, 13, 521, 634, 650, 774, 884, 339, 244, 426, 106, 770, 196, 65, 520, 597, 412, 460, 703, 770, 434, 514, 421, 484, 179, 926, 225, 676, 830, 781, 804, 925, 336, 466, 753, 742, 490, 766, 854, 927, 732, 542, 460, 195, 160, 16, 695, 250, 409, 815, 756, 808, 810, 462, 64, 474, 258, 719, 367, 826, 629, 678, 53, 683, 910, 883, 62, 158, 848, 324, 140, 660, 632, 166, 570, 179, 190, 106, 838, 507, 95, 197, 316, 428, 2, 86, 905, 893, 648, 511, 419, 381, 67, 398, 533, 574, 104, 613, 155, 596, 837, 361, 541, 648, 154, 446, 274, 587, 500, 210, 59, 350, 12, 521, 679, 114, 248, 40, 117, 691, 340, 282, 406, 425, 922, 760, 377, 539, 650, 3, 232, 239, 798, 127, 600, 548, 120, 140, 48, 386, 551, 557, 711, 526, 244, 417, 916, 568, 888, 836, 693, 118, 35, 593, 442, 652, 158, 318, 341, 899, 758, 261, 554, 463, 819, 507, 959, 565, 669, 266, 417, 645, 458, 2, 623, 235, 883, 560, 683, 34, 133, 116, 922, 737, 296, 634, 152, 760, 116, 557, 149, 173, 733, 175, 449, 564, 584, 930, 677, 288, 538, 703, 212, 368, 128, 560, 593, 442, 389, 212, 68, 196, 164, 525, 721, 875, 655, 848, 726, 802, 813, 471, 742, 787, 702, 428, 411, 226, 664, 610, 567, 336, 446, 816, 947, 870, 278, 605, 532, 449, 958, 742, 100, 604, 108, 401, 680, 707, 728, 322, 92, 847, 821, 593, 485, 417, 278, 19, 922, 29, 941, 917, 862, 647, 572, 483, 836, 689, 506, 143, 911, 567, 415, 418, 726, 600, 497, 886, 847, 79, 589, 918, 582, 224, 484, 744, 77, 818, 698, 615, 881, 482, 478, 380, 680, 170, 193, 42, 351, 503, 188, 136, 613, 799, 199, 791, 134, 412, 579, 23, 767, 409, 704, 870, 812, 888, 567, 257, 315, 353, 939, 162, 221, 40, 429, 245, 496, 578, 150, 357, 856, 501, 458, 92, 943, 406, 679, 23, 762, 748, 69, 265, 299, 668, 793, 75, 899, 76, 558, 879, 561, 532, 556, 197, 669, 108, 302, 782, 170, 728, 54, 906, 190, 516, 398, 169, 724, 219, 951, 236, 411, 609, 260, 641, 337, 537, 8, 42, 637, 783, 692, 909, 716, 32, 840, 720, 597, 391, 36, 923, 793, 672, 863, 212, 216, 476, 881, 58, 531, 848, 585, 956, 117, 294, 269, 887, 842, 731, 891, 422, 168, 511, 816, 104, 734, 499, 746, 484, 267, 819, 356, 604, 93, 952, 49, 475, 674, 326, 903, 603, 725, 257, 758, 450, 782, 758, 382, 295, 391, 907, 510, 782, 249, 442, 335, 307, 578, 405, 688, 665, 546, 295, 321, 9, 790, 832, 527, 860, 435, 135, 512, 769, 517, 310, 932, 402, 160, 711, 650, 905, 174, 300, 705, 236, 788, 796, 205, 335, 298, 203, 61, 649, 187, 329, 447, 331, 563, 101, 143, 122, 713, 806, 687, 267, 836, 124, 301, 646, 492, 642, 915, 340, 852, 784, 480, 316, 894, 628, 419, 897, 43, 72, 529, 0, 670, 330, 541, 789, 302, 718, 351, 451, 298, 293, 268, 429, 396, 136, 258, 554, 763, 126, 904, 748, 179, 754, 947, 555, 306, 12, 931, 841, 373, 159, 743, 431, 760, 604, 576, 450, 894, 64, 119, 804, 772, 231, 733, 192, 696, 786, 582, 715, 4, 78, 173, 751, 111, 362, 312, 577, 572, 539, 814, 931, 328, 416, 433, 208, 194, 603, 241, 656, 891, 738, 675, 132, 181, 656, 868, 177, 283, 769, 60, 13, 659, 853, 557, 97, 157, 736, 2, 874, 938, 482, 501, 564, 667, 800, 715, 555, 752, 251, 8, 668, 497, 916, 56, 174, 900, 175, 498, 264, 333, 60, 369, 245, 42, 585, 74, 526, 469, 581, 745, 371, 939, 400, 342, 585, 739, 391, 617, 946, 535, 415, 324, 670, 622, 799, 631, 821, 263, 193, 732, 165, 889, 824, 808, 28, 300, 609, 206, 744, 470, 93, 420, 185, 175, 288, 892, 654, 103, 517, 915, 520, 707, 45, 380, 233, 233, 490, 79, 32, 426, 814, 114, 496, 672, 643, 31, 184, 357, 822, 329, 66, 771, 364, 527, 667, 781, 3, 917, 39, 884, 580, 348, 934, 632, 917, 422, 349, 112, 901, 678, 488, 255, 207, 125, 39, 423, 485, 612, 533, 152, 214, 789, 879, 949, 728, 577, 609, 529, 506, 771, 701, 749, 898, 290, 664, 872, 851, 601, 622, 56, 592, 342, 748, 24, 549, 416, 141, 614, 75, 350, 382, 550, 50, 855, 4, 605, 701, 653, 372, 291, 109, 589, 16, 892, 551, 103, 513, 511, 105, 498, 717, 876, 824, 566, 933, 677, 860, 215, 21, 938, 393, 455, 339, 904, 246, 363, 45, 886, 891, 517, 414, 124, 323, 926, 657, 544, 15, 606, 88, 195, 293, 463, 586, 830, 580, 156, 692, 636, 307, 459, 468, 663, 685, 427, 857, 659, 404, 141, 776, 272, 781, 38, 792, 145, 297, 802, 139, 625, 940, 232, 292, 801, 594, 410, 661, 936, 221, 948, 727, 952, 15, 39, 908, 952, 71, 200, 771, 17, 592, 773, 424, 913, 316, 251, 935, 461, 62, 324, 817, 740, 555, 699, 614, 153, 320, 896, 663, 279, 297, 556, 462, 462, 686, 754, 512, 93, 473, 252, 513, 364, 58, 274, 902, 153, 134, 792, 882, 591, 807, 546, 171, 250, 722, 233, 340, 602, 387, 813, 953, 930, 137, 548, 21, 860, 143, 534, 895, 863, 693, 699, 102, 731}

    Returns: {1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0 }

  55. 936

    {4, 215, 122, 494, 199, 664, 395, 402, 291, 80, 244, 37, 666, 181, 878, 851, 515, 256, 103, 603, 599, 110, 921, 690, 572, 334, 755, 872, 37, 488, 404, 646, 46, 355, 676, 144, 23, 339, 891, 800, 444, 29, 168, 427, 743, 795, 36, 144, 6, 805, 364, 339, 24, 790, 156, 130, 351, 755, 78, 434, 289, 586, 863, 250, 859, 669, 209, 498, 83, 238, 417, 870, 377, 488, 894, 359, 732, 116, 247, 141, 558, 846, 662, 0, 712, 98, 231, 37, 912, 62, 918, 431, 475, 132, 823, 343, 280, 305, 406, 155, 904, 186, 211, 57, 928, 97, 275, 374, 76, 730, 447, 86, 932, 825, 286, 758, 670, 832, 799, 175, 152, 741, 383, 828, 526, 782, 182, 384, 147, 50, 657, 474, 739, 402, 240, 393, 609, 761, 503, 373, 604, 932, 338, 53, 129, 768, 600, 619, 318, 543, 195, 391, 880, 806, 11, 777, 658, 158, 876, 831, 731, 799, 127, 459, 147, 376, 588, 116, 505, 537, 820, 91, 209, 232, 21, 115, 842, 556, 187, 279, 620, 833, 705, 668, 774, 543, 223, 214, 294, 324, 244, 387, 745, 524, 641, 122, 488, 121, 113, 49, 927, 95, 852, 12, 889, 188, 249, 736, 785, 330, 509, 635, 861, 302, 891, 334, 405, 168, 817, 372, 672, 564, 422, 122, 359, 123, 91, 406, 353, 643, 15, 356, 257, 725, 920, 882, 459, 427, 316, 409, 395, 546, 623, 471, 437, 703, 757, 653, 39, 118, 327, 96, 341, 402, 465, 135, 677, 801, 170, 52, 738, 581, 879, 219, 606, 70, 652, 844, 901, 269, 640, 770, 911, 117, 500, 121, 554, 871, 418, 125, 429, 789, 447, 376, 751, 139, 398, 425, 515, 461, 473, 110, 804, 275, 507, 842, 664, 269, 832, 318, 155, 758, 509, 687, 570, 625, 697, 623, 237, 686, 585, 786, 862, 684, 148, 556, 910, 388, 804, 735, 800, 595, 762, 101, 307, 493, 164, 23, 166, 736, 894, 75, 864, 171, 137, 740, 373, 707, 254, 346, 96, 634, 692, 487, 881, 124, 153, 711, 672, 660, 151, 304, 927, 589, 14, 860, 904, 760, 856, 900, 421, 275, 250, 279, 792, 133, 358, 545, 555, 320, 309, 267, 883, 899, 41, 454, 716, 337, 722, 286, 29, 100, 108, 934, 449, 848, 380, 341, 737, 739, 327, 240, 482, 291, 379, 838, 540, 379, 636, 226, 570, 251, 853, 495, 40, 388, 79, 33, 298, 379, 853, 12, 672, 633, 138, 701, 307, 808, 844, 470, 781, 238, 634, 389, 75, 855, 542, 752, 394, 529, 235, 572, 777, 315, 196, 35, 284, 95, 537, 262, 814, 324, 158, 495, 109, 565, 178, 501, 584, 663, 764, 571, 835, 530, 165, 647, 897, 715, 780, 7, 299, 837, 922, 707, 583, 339, 315, 11, 172, 206, 668, 212, 44, 290, 720, 511, 796, 114, 285, 410, 136, 917, 699, 444, 107, 216, 349, 656, 907, 387, 820, 601, 358, 45, 583, 423, 726, 771, 746, 655, 215, 458, 295, 214, 674, 724, 179, 410, 195, 114, 644, 578, 372, 528, 677, 742, 97, 210, 102, 821, 106, 276, 797, 607, 573, 352, 132, 594, 169, 150, 544, 449, 98, 314, 732, 816, 226, 441, 257, 282, 570, 747, 237, 825, 119, 151, 727, 902, 26, 460, 614, 186, 331, 744, 850, 391, 432, 381, 349, 510, 218, 720, 85, 33, 129, 647, 265, 162, 311, 902, 846, 590, 710, 301, 707, 761, 852, 222, 310, 361, 579, 86, 157, 401, 703, 697, 63, 895, 41, 909, 859, 635, 769, 871, 694, 477, 76, 497, 635, 154, 248, 925, 400, 213, 149, 710, 385, 539, 468, 563, 138, 305, 827, 433, 586, 549, 274, 424, 688, 212, 702, 896, 249, 671, 844, 838, 282, 618, 216, 815, 283, 559, 897, 405, 217, 722, 151, 779, 176, 371, 453, 865, 390, 278, 558, 850, 398, 798, 125, 765, 590, 134, 797, 610, 14, 58, 820, 500, 828, 233, 438, 500, 917, 752, 921, 198, 406, 686, 724, 808, 274, 464, 628, 485, 78, 622, 507, 68, 822, 664, 40, 495, 837, 161, 912, 316, 234, 849, 561, 706, 816, 678, 312, 587, 840, 785, 682, 193, 130, 794, 703, 527, 178, 223, 298, 439, 3, 725, 271, 391, 914, 815, 324, 891, 250, 878, 615, 99, 10, 778, 769, 89, 429, 624, 931, 737, 835, 774, 818, 478, 203, 571, 142, 20, 676, 58, 137, 119, 514, 198, 178, 266, 918, 877, 681, 230, 139, 104, 573, 881, 215, 430, 721, 617, 238, 438, 808, 516, 869, 780, 541, 788, 838, 201, 752, 381, 665, 849, 791, 723, 32, 665, 762, 183, 790, 312, 424, 575, 837, 141, 190, 95, 239, 613, 576, 64, 30, 1, 603, 163, 99, 314, 453, 28, 526, 697, 714, 527, 592, 48, 721, 353, 650, 663, 136, 561, 182, 393, 933, 148, 711, 141, 813, 252, 909, 277, 128, 579, 263, 499, 49, 487, 40, 102, 22, 736, 463, 906, 228, 855, 507, 829, 165, 221, 880, 344, 578, 175, 925, 36, 622, 935, 746, 348, 805, 566, 769, 607, 355, 869, 254, 22, 728, 730, 170, 67, 281, 805, 803, 85, 63, 8, 540, 582, 915, 519, 125, 434, 347, 233, 161, 843, 105, 783, 549, 590, 654, 341, 498, 359, 559, 116, 229, 880, 782, 231, 253, 743, 549, 466, 156, 810, 283, 82, 6, 717, 893, 434, 580, 758, 115, 796, 338, 779, 928, 542, 428, 651, 446, 659, 121, 152, 408, 295, 19, 334, 349, 342, 420, 765, 814, 512, 487, 786, 749, 889, 386, 724, 210, 683, 267, 874, 362, 811, 120, 747, 338, 629, 702, 460, 602, 771, 923, 847, 364, 529, 0, 709, 207, 468, 709, 231, 599, 392, 93, 511, 551, 806, 695, 885, 62, 327, 911, 726, 648, 689, 176, 670, 407, 923, 696, 882, 297, 574, 217, 705, 477, 416, 558, 14, 538, 10, 106, 737, 463, 83, 397, 211, 470, 98, 142, 156, 663, 30, 729, 35, 546, 298, 796, 836, 162, 618, 132, 145, 638, 501, 459, 813, 468, 868, 924, 839, 452, 662, 569, 159, 321, 169, 182, 715, 126, 661, 528, 218, 879, 465, 344, 886, 689, 797, 123, 905, 550, 147, 479, 177, 879, 534, 715, 289, 478, 108, 609, 276, 552, 587, 600, 667, 639, 133, 476, 282, 520, 422, 200, 430, 575, 922, 386, 555, 872, 294, 574, 220, 624, 266, 614, 665, 827, 382, 202, 552, 798, 276, 858, 654, 533, 671, 211, 408, 517, 19, 494, 768, 427, 292, 197, 243, 593, 34, 222, 791, 13, 574, 129, 226, 734, 541, 183, 546, 352, 821, 877, 851, 97, 113, 347, 793, 591, 221, 201, 781, 375, 240, 481, 709, 681, 485, 751, 588, 509, 746, 2, 24, 438, 604, 198, 528, 340, 489, 259, 315, 792, 83, 188, 804, 420, 683, 76, 898, 484, 905, 321, 79, 660, 353, 907, 816, 277, 247, 612, 557, 346, 18, 597, 232, 625, 59, 227, 708, 432, 230, 621, 576, 431, 31, 170, 759, 647, 452, 237, 61, 476, 381, 668, 911, 861, 89, 188, 851, 398, 460, 9, 319, 794, 396, 817, 248, 901, 189, 228, 27, 43, 473, 153, 357, 456, 71, 358, 810, 384, 601, 365, 910, 597, 352, 719, 580, 902, 585, 646, 594, 255, 137, 16, 795, 217, 68, 637, 143, 90, 830, 13, 577, 87, 788, 291, 425, 236, 933, 927, 779, 929, 532, 823, 609, 56, 293, 763, 899, 193, 453, 741, 667, 440, 798, 704, 572, 871, 77, 81, 290, 0, 39, 678, 38, 711, 519, 112, 595, 743, 320, 473, 589, 173, 39, 817, 301, 395, 214, 450, 633, 65, 96, 513, 143, 154, 42, 633, 336, 826, 69, 518, 310, 431, 513, 522, 677, 450, 200, 841, 496, 828, 756, 770, 88, 451, 5, 789, 206, 441, 686, 925, 863, 15, 915, 551, 461, 934, 920, 119, 644, 682, 308, 464, 255, 195, 611, 236, 730, 783, 86, 154, 213, 384, 35, 755, 575, 845, 551, 919, 920, 187, 361, 251, 222, 767, 185, 701, 134, 190, 750, 788, 858, 793, 655, 829, 559, 19, 713, 265, 878, 420, 355, 529, 888, 764, 386, 177, 863, 773, 89, 461, 750, 105, 741, 545, 674, 593, 708, 496, 34, 61, 493, 332, 581, 363, 602, 490, 70, 566, 516, 435, 553, 192, 336, 185, 160, 369, 163, 374, 311, 232, 242, 42, 364, 831, 501, 485, 6, 520, 856, 17, 800}

    {608, 719, 710, 258, 903, 73, 729, 628, 407, 739, 229, 443, 552, 268, 145, 377, 273, 776, 535, 471, 235, 885, 516, 153, 713, 52, 587, 598, 924, 578, 173, 442, 366, 256, 45, 380, 292, 606, 313, 449, 775, 149, 357, 666, 520, 273, 767, 179, 576, 399, 522, 145, 366, 343, 140, 435, 367, 77, 523, 185, 912, 888, 28, 704, 261, 166, 740, 54, 27, 489, 890, 474, 749, 111, 824, 895, 506, 744, 492, 50, 345, 308, 13, 309, 531, 286, 790, 148, 479, 499, 105, 152, 691, 159, 616, 426, 278, 440, 27, 888, 51, 698, 680, 504, 287, 621, 94, 1, 653, 244, 631, 155, 615, 492, 413, 218, 354, 189, 613, 66, 895, 829, 323, 466, 931, 648, 369, 530, 714, 632, 130, 782, 640, 657, 67, 303, 263, 531, 430, 241, 598, 46, 243, 457, 175, 550, 480, 307, 472, 81, 530, 451, 139, 128, 834, 38, 21, 638, 403, 503, 627, 892, 242, 505, 791, 135, 714, 29, 616, 930, 599, 362, 351, 293, 634, 180, 280, 25, 756, 74, 174, 857, 224, 268, 824, 2, 284, 562, 866, 280, 569, 759, 853, 666, 856, 445, 17, 887, 378, 738, 209, 234, 426, 385, 562, 761, 234, 261, 73, 819, 319, 348, 620, 410, 661, 900, 167, 174, 47, 292, 380, 865, 303, 235, 296, 525, 896, 404, 801, 772, 834, 748, 300, 525, 390, 54, 423, 524, 440, 450, 471, 253, 120, 233, 784, 705, 510, 783, 388, 764, 662, 548, 760, 435, 621, 314, 164, 265, 464, 624, 60, 118, 932, 469, 23, 329, 15, 281, 841, 69, 750, 57, 504, 866, 876, 190, 884, 499, 177, 167, 288, 874, 138, 258, 157, 776, 169, 400, 302, 239, 414, 131, 605, 850, 229, 848, 785, 117, 297, 246, 322, 401, 508, 3, 219, 419, 207, 626, 732, 906, 908, 908, 296, 360, 893, 93, 695, 210, 85, 411, 819, 727, 809, 649, 613, 748, 272, 220, 301, 859, 683, 333, 444, 457, 521, 367, 913, 565, 414, 78, 481, 658, 629, 692, 433, 667, 598, 149, 179, 584, 699, 409, 299, 803, 916, 580, 58, 860, 203, 260, 491, 893, 325, 202, 563, 415, 321, 219, 675, 306, 484, 554, 212, 512, 645, 261, 411, 335, 892, 79, 585, 581, 30, 397, 204, 429, 208, 860, 497, 90, 436, 12, 810, 127, 527, 781, 194, 802, 104, 441, 881, 272, 60, 873, 289, 360, 332, 377, 467, 157, 446, 497, 311, 836, 565, 556, 239, 409, 688, 656, 245, 48, 839, 543, 351, 914, 249, 493, 814, 382, 150, 257, 392, 658, 554, 112, 586, 542, 193, 140, 637, 719, 43, 407, 483, 631, 822, 687, 601, 857, 194, 110, 503, 642, 557, 594, 583, 691, 611, 350, 333, 463, 913, 447, 502, 220, 21, 652, 448, 279, 181, 867, 469, 626, 731, 787, 915, 632, 293, 273, 184, 462, 47, 310, 884, 323, 400, 595, 898, 608, 706, 660, 107, 926, 510, 792, 419, 134, 113, 31, 679, 521, 246, 63, 382, 362, 208, 515, 617, 306, 522, 17, 303, 10, 778, 458, 227, 401, 591, 643, 875, 361, 42, 892, 246, 191, 511, 264, 727, 445, 413, 330, 544, 376, 107, 772, 700, 700, 336, 56, 328, 480, 884, 71, 618, 756, 470, 216, 305, 774, 723, 416, 588, 483, 877, 4, 826, 519, 502, 399, 270, 259, 20, 16, 535, 637, 396, 312, 208, 383, 7, 476, 706, 71, 843, 514, 849, 654, 864, 28, 448, 728, 845, 270, 224, 661, 858, 862, 150, 436, 454, 126, 446, 46, 630, 582, 847, 567, 26, 474, 142, 723, 399, 679, 109, 645, 567, 443, 795, 423, 843, 126, 160, 44, 728, 540, 930, 659, 245, 818, 608, 806, 592, 466, 456, 245, 698, 457, 288, 419, 87, 439, 757, 55, 673, 799, 929, 65, 477, 904, 498, 905, 846, 842, 136, 924, 656, 579, 405, 165, 82, 680, 491, 408, 901, 371, 645, 81, 553, 729, 123, 389, 615, 342, 742, 784, 173, 442, 541, 304, 784, 99, 326, 80, 428, 268, 259, 883, 649, 65, 479, 821, 133, 759, 534, 733, 415, 840, 390, 445, 247, 308, 253, 780, 335, 675, 693, 839, 557, 180, 9, 287, 101, 322, 106, 867, 255, 641, 882, 387, 762, 140, 278, 290, 793, 241, 366, 8, 84, 163, 221, 918, 478, 919, 617, 347, 692, 812, 143, 288, 725, 131, 822, 605, 82, 51, 646, 171, 455, 274, 248, 733, 886, 94, 626, 171, 370, 191, 16, 602, 213, 84, 243, 526, 638, 650, 437, 458, 652, 875, 896, 545, 688, 685, 356, 826, 201, 337, 754, 205, 611, 685, 236, 375, 335, 340, 695, 639, 592, 632, 577, 716, 619, 722, 538, 787, 712, 360, 547, 202, 204, 258, 418, 486, 365, 874, 754, 639, 415, 158, 596, 396, 525, 566, 345, 350, 329, 548, 25, 94, 483, 114, 64, 54, 88, 492, 91, 898, 225, 462, 745, 629, 534, 55, 569, 454, 716, 521, 342, 127, 670, 934, 536, 745, 256, 67, 111, 103, 614, 306, 181, 685, 38, 700, 425, 857, 738, 486, 669, 285, 18, 627, 322, 731, 330, 146, 589, 757, 555, 605, 636, 819, 118, 176, 832, 56, 868, 718, 567, 375, 4, 631, 66, 135, 100, 651, 733, 704, 271, 794, 68, 908, 354, 776, 870, 840, 766, 172, 192, 773, 815, 264, 767, 926, 807, 8, 443, 847, 93, 374, 862, 189, 659, 564, 845, 411, 346, 225, 49, 596, 841, 115, 754, 573, 628, 919, 897, 748, 505, 536, 482, 887, 112, 744, 33, 696, 294, 128, 59, 824, 506, 207, 568, 535, 681, 600, 910, 835, 451, 553, 328, 319, 124, 718, 337, 108, 909, 164, 789, 876, 272, 644, 41, 378, 701, 813, 612, 568, 721, 571, 734, 88, 57, 43, 894, 172, 370, 720, 873, 184, 191, 418, 560, 620, 363, 775, 370, 72, 517, 577, 807, 260, 77, 763, 735, 318, 333, 771, 903, 332, 101, 262, 833, 533, 547, 933, 162, 32, 297, 283, 766, 31, 64, 241, 48, 417, 563, 159, 403, 167, 539, 537, 523, 309, 354, 787, 196, 903, 70, 475, 26, 313, 260, 1, 734, 227, 763, 811, 830, 421, 203, 564, 168, 331, 92, 252, 917, 92, 494, 92, 848, 455, 496, 890, 584, 32, 2, 184, 802, 735, 926, 432, 630, 372, 465, 831, 751, 640, 117, 597, 673, 269, 357, 606, 591, 316, 205, 935, 680, 455, 206, 524, 830, 417, 104, 854, 531, 302, 160, 331, 345, 682, 691, 174, 868, 422, 296, 424, 102, 230, 854, 610, 484, 768, 886, 348, 462, 568, 547, 340, 889, 873, 539, 50, 200, 777, 344, 131, 593, 60, 935, 74, 603, 708, 548, 251, 623, 475, 928, 610, 827, 392, 747, 62, 641, 690, 437, 900, 766, 854, 627, 517, 428, 472, 533, 20, 823, 648, 5, 630, 753, 864, 267, 544, 693, 481, 694, 643, 825, 772, 412, 765, 523, 414, 803, 363, 726, 270, 317, 385, 186, 53, 317, 807, 197, 412, 204, 702, 394, 642, 196, 263, 61, 72, 622, 770, 550, 66, 674, 749, 199, 812, 224, 518, 197, 801, 365, 649, 899, 560, 356, 472, 625, 18, 604, 861, 281, 277, 506, 394, 452, 693, 47, 596, 675, 636, 679, 760, 323, 109, 906, 482, 690, 742, 295, 403, 872, 867, 264, 439, 80, 448, 436, 887, 836, 469, 242, 502, 809, 368, 75, 865, 187, 778, 51, 676, 72, 869, 146, 916, 930, 252, 397, 923, 266, 907, 325, 490, 24, 467, 389, 313, 753, 59, 350, 378, 786, 698, 368, 199, 694, 36, 254, 456, 513, 684, 699, 669, 183, 696, 582, 262, 73, 393, 404, 883, 9, 491, 87, 490, 416, 866, 508, 775, 180, 124, 426, 532, 304, 317, 512, 225, 773, 929, 504, 753, 161, 653, 371, 74, 480, 921, 205, 486, 11, 560, 53, 619, 299, 7, 655, 343, 326, 561, 717, 687, 931, 467, 914, 22, 5, 284, 870, 536, 642, 368, 875, 287, 802, 34, 52, 678, 120, 890, 809, 489, 320, 718, 25, 518, 916, 913, 433, 562, 325, 612, 367, 818, 326, 300, 885, 373, 616, 166, 712, 223, 100, 69, 271, 607, 671, 103, 383, 922, 811, 740, 328, 514, 55, 146, 45, 412, 651, 228, 413, 192, 673, 44, 300, 369, 833, 442, 657, 812, 194, 713, 834, 508, 329, 532, 684, 144, 285, 855, 421, 852, 84, 3, 90, 538, 689, 650, 111, 717}

    Returns: {1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1 }

  56. 960

    {768, 838, 575, 594, 77, 306, 362, 608, 685, 127, 934, 585, 925, 383, 516, 518, 787, 62, 716, 248, 911, 798, 606, 762, 850, 723, 698, 932, 133, 736, 679, 768, 751, 257, 345, 930, 331, 38, 793, 127, 931, 196, 116, 186, 958, 188, 328, 680, 882, 865, 766, 556, 46, 116, 406, 274, 157, 946, 750, 865, 515, 629, 346, 229, 949, 32, 150, 530, 905, 89, 268, 530, 338, 247, 124, 785, 528, 220, 282, 831, 270, 453, 287, 937, 867, 92, 480, 94, 619, 773, 819, 304, 546, 40, 123, 41, 164, 373, 720, 866, 270, 278, 583, 909, 542, 674, 730, 665, 398, 597, 892, 838, 333, 594, 934, 563, 875, 711, 387, 80, 273, 852, 719, 843, 80, 696, 697, 734, 843, 488, 855, 273, 354, 788, 598, 826, 870, 240, 411, 881, 876, 819, 104, 292, 216, 696, 465, 809, 835, 762, 554, 57, 437, 377, 298, 480, 645, 13, 919, 650, 750, 919, 446, 712, 408, 374, 71, 665, 862, 310, 363, 739, 770, 824, 0, 582, 252, 353, 355, 161, 718, 262, 618, 827, 567, 403, 838, 764, 898, 352, 259, 526, 349, 413, 426, 251, 778, 122, 151, 91, 374, 266, 181, 948, 121, 552, 706, 818, 430, 246, 303, 575, 240, 636, 516, 648, 784, 700, 137, 613, 396, 822, 112, 918, 639, 255, 304, 478, 771, 233, 107, 620, 8, 756, 187, 235, 112, 228, 176, 0, 309, 133, 433, 908, 501, 429, 541, 503, 134, 438, 558, 943, 821, 137, 550, 937, 78, 687, 401, 469, 284, 119, 831, 208, 787, 391, 531, 678, 586, 641, 340, 387, 48, 476, 872, 102, 868, 269, 550, 609, 795, 445, 180, 701, 548, 239, 126, 195, 53, 395, 593, 355, 421, 644, 159, 167, 102, 778, 384, 392, 477, 785, 799, 804, 250, 724, 349, 834, 17, 708, 458, 942, 512, 652, 216, 736, 105, 728, 30, 658, 603, 269, 425, 56, 3, 812, 691, 801, 666, 721, 351, 637, 313, 903, 355, 214, 486, 343, 84, 659, 901, 669, 4, 231, 50, 328, 335, 6, 121, 841, 186, 42, 933, 26, 299, 415, 733, 755, 576, 359, 654, 842, 929, 862, 893, 878, 473, 500, 72, 280, 334, 119, 798, 679, 225, 234, 741, 345, 747, 276, 444, 508, 201, 192, 772, 297, 604, 596, 784, 43, 385, 916, 554, 214, 487, 38, 300, 209, 462, 528, 376, 436, 770, 417, 123, 292, 840, 505, 507, 916, 100, 796, 482, 851, 63, 511, 732, 59, 687, 181, 205, 184, 771, 642, 303, 51, 655, 613, 98, 565, 693, 724, 887, 126, 475, 746, 432, 520, 262, 555, 309, 428, 521, 563, 148, 895, 78, 260, 5, 656, 471, 87, 279, 286, 810, 226, 885, 897, 313, 709, 806, 578, 339, 244, 510, 888, 776, 516, 584, 518, 256, 853, 564, 111, 893, 309, 436, 616, 521, 606, 363, 253, 804, 534, 634, 366, 397, 471, 236, 115, 870, 847, 682, 615, 705, 352, 30, 123, 6, 114, 369, 318, 854, 142, 852, 487, 713, 889, 11, 854, 786, 887, 780, 658, 581, 910, 592, 849, 418, 806, 759, 89, 590, 946, 744, 565, 536, 631, 551, 663, 271, 716, 305, 354, 855, 514, 882, 251, 780, 320, 145, 444, 620, 198, 644, 835, 822, 301, 744, 45, 877, 467, 707, 224, 376, 332, 202, 536, 412, 708, 477, 643, 165, 652, 656, 904, 346, 403, 66, 327, 859, 308, 349, 748, 92, 147, 28, 544, 704, 407, 703, 957, 85, 630, 128, 513, 343, 590, 199, 589, 282, 852, 797, 69, 109, 531, 722, 290, 691, 915, 234, 632, 122, 578, 203, 428, 862, 463, 826, 22, 942, 65, 384, 574, 6, 888, 235, 142, 886, 742, 8, 327, 11, 510, 79, 94, 617, 456, 168, 150, 653, 93, 246, 685, 820, 553, 936, 950, 741, 365, 638, 670, 678, 850, 128, 460, 481, 308, 440, 357, 152, 774, 646, 763, 742, 782, 160, 752, 463, 144, 366, 845, 547, 208, 381, 291, 527, 754, 96, 883, 583, 816, 70, 72, 392, 628, 836, 459, 571, 492, 100, 70, 238, 490, 558, 547, 829, 666, 195, 521, 889, 327, 640, 438, 931, 300, 284, 483, 791, 31, 47, 131, 48, 673, 645, 97, 35, 817, 100, 385, 763, 84, 682, 828, 328, 797, 447, 863, 722, 438, 877, 834, 635, 297, 576, 754, 80, 711, 7, 431, 660, 660, 462, 278, 885, 271, 267, 287, 665, 548, 698, 876, 22, 238, 39, 757, 824, 621, 808, 88, 509, 190, 194, 828, 306, 125, 925, 922, 902, 488, 684, 702, 879, 848, 452, 372, 14, 596, 292, 397, 252, 823, 876, 510, 223, 77, 150, 519, 647, 440, 10, 259, 253, 617, 235, 12, 913, 194, 172, 330, 485, 945, 874, 860, 330, 600, 82, 127, 445, 249, 468, 339, 14, 928, 405, 930, 8, 291, 828, 266, 250, 557, 926, 386, 453, 34, 360, 110, 271, 265, 185, 106, 470, 713, 941, 704, 460, 486, 406, 474, 450, 135, 314, 73, 793, 50, 484, 250, 46, 642, 7, 52, 681, 922, 833, 449, 160, 577, 218, 34, 625, 569, 725, 690, 615, 49, 871, 780, 330, 495, 381, 911, 605, 831, 414, 587, 456, 436, 370, 165, 735, 495, 853, 735, 482, 757, 205, 675, 799, 908, 770, 452, 424, 661, 652, 84, 523, 555, 99, 537, 786, 532, 668, 193, 529, 529, 653, 402, 457, 717, 232, 612, 709, 799, 657, 388, 257, 848, 326, 740, 56, 38, 664, 552, 945, 626, 844, 606, 787, 395, 280, 797, 162, 601, 526, 91, 896, 439, 707, 196, 173, 393, 367, 260, 210, 720, 912, 732, 276, 949, 302, 63, 419, 790, 405, 57, 343, 467, 224, 598, 50, 281, 763, 801, 616, 252, 895, 726, 641, 95, 175, 908, 901, 499, 897, 803, 132, 767, 784, 923, 160, 42, 496, 441, 699, 522, 206, 750, 152, 283, 9, 420, 587, 71, 753, 484, 59, 531, 694, 376, 509, 177, 93, 603, 402, 839, 397, 402, 722, 204, 910, 777, 833, 820, 497, 366, 938, 570, 83, 594, 886, 5, 135, 637, 650, 18, 253, 596, 312, 93, 777, 311, 866, 209, 565, 439, 331, 24, 583, 782, 620, 816, 277, 723, 882, 707, 109, 404, 199, 258, 147, 830, 754, 939, 135, 933, 902, 359, 667, 184, 648, 430, 684, 765, 925, 875, 748, 482, 955, 312, 804, 826, 446, 281, 959, 245, 788, 90, 479, 639, 199, 809, 296, 829, 906, 959, 844, 219, 490, 5, 222, 191, 217, 783, 175, 817, 745, 640, 443, 808, 734, 783, 923, 299, 519, 338, 935, 431, 607, 713, 88, 602, 729, 744, 656, 878, 751, 738, 164, 503, 217, 117, 493, 555, 16, 66, 800, 728, 11, 773, 268, 121, 202, 725, 350, 573, 126, 775, 223, 276, 866, 491, 190, 504, 545, 643, 71, 42, 734, 669, 938, 411, 499, 98, 337, 350, 683, 189, 523, 739, 633, 336, 468, 207, 399, 593, 934, 944, 843, 305, 179, 765, 385, 837, 370, 289, 375, 319, 907, 712, 125, 699, 170, 165, 559, 139, 806, 243, 466, 542, 182, 660, 554, 103, 781, 351, 232, 595, 846, 229, 792, 629, 480, 864, 363, 162, 465, 588, 634, 636, 468, 562, 687, 389, 118, 878, 454, 607, 60, 55, 598, 716, 293, 475, 208, 823, 52, 854, 796, 912, 124, 675, 700, 717, 662, 867, 827, 348, 440, 261, 204, 373, 675, 921, 773, 593, 73, 740, 316, 701, 196, 45, 459, 626, 192, 913, 213, 636, 819, 200, 221, 229, 895, 87, 191, 909, 485, 401, 415, 207, 867, 836, 570, 820, 527, 714, 105, 958, 581, 704, 130, 619, 285, 227, 648, 520, 551, 909, 688, 906, 833, 849, 22, 379, 278, 697, 702, 625, 710, 789, 502, 57, 850, 915, 788, 561, 88, 225, 128, 360, 528, 822, 89, 525, 847, 913, 614, 792, 454, 579, 470, 59, 883, 97, 220, 189, 224, 447, 241, 90, 475, 689, 485, 151, 157, 312, 478, 900, 841, 398, 512, 464, 764, 718, 423, 62, 239, 158, 65, 109, 635, 348, 56, 466, 509, 404, 774, 476, 881, 933, 430, 935, 600, 868, 538, 28, 520, 399, 77, 541, 900, 742, 500, 487, 921, 902, 911, 883, 910, 267, 463, 705, 275, 894, 10, 874, 950, 96, 381, 755, 809, 350, 449, 446, 226, 550, 498, 367, 450, 301, 818, 484, 733, 629, 942, 701, 364, 506, 574, 344, 680, 44, 265, 313, 547, 425, 898, 832, 469, 514, 691, 300, 541, 428, 557, 765, 759, 817, 156, 151, 318, 244, 557, 561, 68, 74, 256, 892, 2, 270, 401, 305, 577, 168, 803, 536, 90, 295, 832, 590}

    {260, 836, 434, 211, 452, 839, 685, 399, 254, 746, 580, 371, 198, 348, 745, 572, 374, 324, 62, 322, 153, 584, 775, 44, 558, 695, 161, 81, 655, 114, 216, 141, 749, 16, 672, 325, 24, 796, 677, 469, 504, 714, 254, 489, 749, 544, 527, 18, 412, 12, 872, 239, 356, 362, 844, 717, 424, 508, 166, 74, 395, 777, 943, 839, 931, 543, 273, 422, 891, 644, 904, 451, 935, 33, 158, 693, 286, 618, 858, 575, 456, 412, 417, 33, 592, 666, 185, 54, 3, 143, 483, 610, 146, 378, 567, 258, 323, 427, 67, 43, 633, 344, 21, 496, 540, 189, 86, 497, 213, 143, 511, 156, 394, 823, 612, 159, 316, 830, 918, 924, 761, 219, 563, 932, 921, 341, 586, 173, 81, 813, 810, 514, 396, 816, 853, 86, 153, 120, 631, 272, 206, 404, 769, 539, 237, 112, 896, 147, 1, 377, 511, 316, 25, 317, 138, 435, 955, 340, 140, 372, 538, 569, 694, 320, 65, 254, 139, 103, 55, 622, 585, 869, 461, 690, 683, 272, 18, 486, 334, 818, 171, 10, 286, 418, 75, 333, 82, 643, 821, 789, 379, 692, 170, 459, 886, 342, 391, 697, 764, 367, 769, 140, 379, 325, 393, 802, 899, 318, 380, 884, 508, 959, 356, 936, 245, 621, 669, 802, 259, 915, 332, 85, 907, 368, 233, 617, 472, 237, 414, 158, 358, 458, 560, 461, 197, 808, 753, 448, 608, 760, 827, 727, 647, 753, 226, 829, 603, 321, 692, 864, 17, 813, 437, 758, 133, 771, 926, 604, 249, 747, 344, 811, 537, 388, 769, 152, 847, 167, 122, 951, 732, 368, 535, 241, 190, 443, 380, 169, 221, 166, 419, 337, 280, 37, 927, 46, 880, 695, 465, 523, 549, 95, 905, 36, 719, 815, 156, 103, 662, 146, 143, 173, 52, 519, 179, 792, 533, 746, 891, 218, 108, 522, 758, 114, 703, 646, 23, 319, 670, 706, 2, 601, 48, 322, 920, 398, 74, 442, 136, 28, 255, 382, 333, 874, 132, 927, 715, 275, 955, 875, 247, 749, 163, 560, 842, 187, 914, 740, 261, 735, 183, 566, 117, 518, 890, 148, 869, 926, 361, 525, 364, 489, 110, 67, 461, 230, 60, 290, 591, 187, 149, 856, 694, 632, 58, 956, 63, 651, 834, 325, 857, 34, 238, 927, 154, 403, 611, 647, 298, 15, 104, 730, 894, 400, 821, 690, 155, 264, 631, 756, 943, 628, 893, 7, 757, 864, 219, 37, 529, 409, 573, 79, 289, 924, 21, 686, 13, 851, 725, 791, 0, 457, 559, 889, 361, 560, 445, 421, 686, 387, 737, 108, 877, 277, 654, 450, 813, 139, 800, 225, 217, 307, 382, 285, 941, 144, 954, 141, 499, 947, 535, 861, 466, 220, 947, 35, 230, 919, 297, 236, 783, 439, 129, 243, 174, 329, 708, 275, 54, 223, 347, 562, 101, 642, 136, 4, 314, 435, 204, 179, 232, 524, 336, 422, 426, 319, 186, 580, 917, 924, 595, 30, 191, 588, 681, 899, 134, 329, 288, 695, 568, 161, 837, 474, 200, 25, 335, 856, 526, 202, 599, 929, 340, 424, 517, 172, 181, 940, 779, 532, 358, 15, 805, 491, 679, 918, 321, 323, 26, 624, 759, 564, 193, 504, 153, 661, 365, 760, 335, 425, 761, 649, 724, 533, 15, 573, 406, 416, 726, 474, 566, 416, 559, 272, 488, 354, 532, 51, 884, 556, 572, 663, 585, 710, 131, 72, 432, 106, 654, 481, 801, 51, 194, 433, 136, 215, 180, 794, 706, 268, 307, 952, 64, 390, 534, 434, 342, 728, 472, 467, 115, 840, 794, 623, 14, 134, 568, 58, 12, 905, 279, 703, 517, 61, 108, 632, 720, 872, 916, 373, 301, 144, 589, 543, 790, 567, 69, 314, 481, 845, 308, 774, 96, 929, 686, 798, 614, 476, 674, 661, 549, 258, 453, 116, 294, 779, 129, 568, 795, 884, 794, 692, 483, 421, 422, 95, 242, 321, 392, 427, 36, 242, 723, 119, 512, 221, 495, 64, 107, 347, 455, 76, 609, 227, 334, 149, 721, 44, 630, 209, 860, 222, 170, 407, 546, 142, 619, 408, 390, 470, 31, 359, 674, 249, 155, 897, 793, 502, 646, 386, 111, 426, 492, 182, 183, 17, 502, 815, 592, 1, 265, 595, 320, 178, 32, 861, 751, 310, 447, 83, 714, 574, 649, 162, 180, 87, 928, 825, 369, 506, 110, 814, 672, 394, 81, 938, 738, 417, 287, 36, 396, 667, 29, 375, 599, 107, 60, 731, 871, 39, 245, 164, 357, 310, 192, 473, 894, 9, 623, 776, 210, 766, 198, 102, 279, 859, 19, 382, 130, 346, 657, 627, 814, 859, 676, 163, 650, 433, 625, 842, 400, 211, 944, 331, 26, 213, 145, 904, 748, 546, 455, 758, 577, 602, 623, 671, 718, 19, 27, 602, 75, 37, 890, 524, 105, 101, 920, 879, 727, 101, 639, 936, 779, 835, 451, 948, 441, 954, 3, 609, 923, 47, 906, 322, 365, 303, 383, 174, 358, 688, 435, 394, 274, 914, 415, 789, 457, 699, 64, 73, 747, 454, 628, 953, 429, 896, 709, 494, 556, 856, 731, 178, 912, 386, 176, 282, 957, 860, 776, 361, 539, 166, 604, 20, 357, 230, 778, 13, 255, 957, 149, 803, 627, 513, 807, 389, 315, 49, 671, 159, 289, 952, 825, 772, 772, 267, 760, 540, 673, 907, 756, 507, 352, 761, 195, 32, 610, 664, 326, 434, 579, 601, 264, 711, 812, 676, 68, 228, 405, 228, 371, 580, 917, 178, 825, 211, 846, 442, 551, 790, 302, 892, 58, 437, 505, 944, 752, 243, 104, 610, 721, 188, 443, 212, 571, 410, 53, 61, 222, 99, 737, 946, 496, 285, 25, 731, 849, 781, 948, 183, 248, 419, 524, 288, 184, 659, 251, 522, 582, 657, 53, 479, 811, 848, 185, 214, 256, 307, 113, 132, 928, 696, 807, 389, 538, 870, 460, 27, 138, 890, 952, 24, 378, 231, 715, 384, 323, 266, 431, 171, 360, 29, 498, 464, 341, 917, 449, 630, 54, 432, 802, 306, 41, 743, 640, 956, 489, 274, 950, 302, 767, 188, 608, 581, 857, 262, 317, 737, 501, 388, 689, 40, 263, 248, 4, 400, 795, 117, 420, 296, 97, 578, 148, 668, 368, 311, 566, 174, 741, 655, 203, 247, 880, 710, 246, 937, 553, 815, 304, 561, 684, 193, 785, 705, 261, 345, 493, 19, 472, 451, 9, 200, 863, 497, 70, 579, 111, 841, 543, 411, 407, 233, 584, 562, 537, 745, 414, 702, 215, 124, 667, 863, 113, 677, 954, 513, 85, 832, 564, 587, 33, 649, 418, 837, 31, 201, 698, 448, 873, 442, 377, 169, 494, 903, 591, 27, 172, 391, 786, 680, 218, 23, 739, 237, 855, 49, 958, 115, 626, 231, 163, 651, 755, 290, 324, 311, 545, 455, 670, 597, 336, 491, 269, 611, 296, 175, 207, 244, 572, 930, 941, 393, 429, 949, 805, 423, 939, 887, 570, 138, 693, 206, 378, 824, 782, 113, 205, 201, 515, 733, 315, 591, 409, 277, 729, 68, 471, 29, 576, 830, 494, 857, 501, 212, 865, 154, 284, 805, 341, 118, 506, 353, 525, 719, 807, 120, 212, 775, 956, 293, 125, 332, 98, 871, 682, 23, 953, 947, 324, 177, 203, 638, 616, 539, 371, 920, 39, 427, 242, 339, 730, 215, 611, 410, 227, 885, 263, 599, 75, 67, 281, 16, 540, 55, 118, 677, 673, 169, 20, 940, 409, 293, 210, 492, 416, 597, 553, 672, 146, 263, 637, 615, 542, 858, 477, 653, 45, 288, 659, 505, 326, 953, 347, 420, 548, 283, 676, 129, 167, 380, 727, 234, 408, 638, 781, 91, 888, 257, 586, 880, 791, 873, 762, 295, 197, 811, 614, 35, 294, 157, 493, 82, 768, 712, 932, 240, 99, 498, 47, 78, 298, 681, 588, 137, 612, 517, 605, 61, 736, 658, 92, 295, 891, 155, 901, 353, 534, 500, 530, 621, 618, 752, 43, 533, 390, 171, 351, 458, 940, 607, 448, 858, 264, 544, 515, 622, 881, 1, 315, 627, 364, 634, 473, 423, 899, 462, 726, 503, 154, 507, 76, 939, 624, 283, 624, 490, 356, 86, 413, 372, 383, 635, 922, 177, 898, 678, 689, 633, 715, 651, 868, 767, 846, 869, 569, 197, 120, 176, 812, 2, 441, 76, 664, 700, 851, 69, 810, 668, 338, 329, 766, 464, 342, 20, 545, 299, 369, 571, 291, 130, 479, 641, 738, 94, 83, 337, 410, 40, 879, 589, 951, 236, 729, 861, 662, 945, 66, 182, 645, 375, 914, 317, 903, 106, 140, 535, 552, 683, 814, 145, 370, 613, 743, 478, 688, 444, 141, 168, 873, 663, 951, 362, 582, 41, 549, 671, 413, 79, 743, 241, 600, 845, 21, 622, 131, 900, 605, 294, 840, 800}

    Returns: {0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1 }

  57. 908

    {672, 481, 701, 661, 404, 50, 657, 352, 86, 281, 100, 39, 648, 866, 99, 28, 859, 221, 218, 67, 532, 784, 582, 734, 875, 619, 659, 316, 892, 828, 776, 565, 871, 869, 260, 193, 60, 708, 138, 754, 542, 108, 669, 848, 701, 827, 620, 17, 730, 611, 786, 811, 264, 749, 63, 622, 280, 607, 279, 735, 133, 3, 63, 867, 220, 72, 415, 379, 500, 639, 193, 640, 49, 617, 257, 131, 196, 527, 293, 87, 106, 100, 767, 790, 546, 596, 401, 245, 302, 15, 877, 84, 75, 638, 711, 377, 205, 482, 473, 656, 835, 395, 825, 685, 685, 833, 363, 195, 150, 856, 88, 784, 499, 886, 112, 239, 865, 6, 361, 474, 46, 10, 62, 538, 813, 888, 520, 286, 82, 344, 813, 309, 501, 303, 352, 279, 511, 819, 466, 670, 563, 678, 232, 508, 536, 517, 425, 537, 748, 778, 265, 255, 140, 561, 110, 127, 686, 234, 557, 494, 675, 446, 156, 304, 211, 812, 552, 740, 149, 442, 16, 820, 880, 588, 3, 625, 648, 606, 656, 847, 498, 775, 161, 757, 194, 630, 207, 843, 463, 101, 664, 461, 258, 643, 416, 452, 460, 562, 519, 255, 808, 401, 479, 243, 119, 330, 783, 447, 840, 152, 476, 546, 744, 425, 103, 815, 6, 292, 528, 680, 165, 80, 74, 122, 262, 676, 782, 72, 548, 769, 736, 96, 208, 203, 628, 531, 511, 83, 624, 886, 405, 326, 168, 535, 551, 656, 86, 101, 901, 611, 315, 63, 487, 219, 420, 658, 51, 319, 9, 786, 822, 683, 182, 788, 20, 423, 48, 158, 437, 854, 737, 78, 828, 444, 884, 23, 179, 521, 889, 358, 28, 400, 614, 274, 816, 649, 554, 460, 650, 484, 505, 553, 520, 291, 829, 213, 7, 615, 230, 205, 645, 35, 903, 811, 357, 204, 61, 861, 639, 268, 198, 90, 422, 340, 875, 738, 430, 663, 333, 665, 517, 765, 733, 799, 433, 827, 430, 176, 0, 316, 788, 808, 282, 322, 771, 586, 616, 719, 567, 141, 47, 579, 477, 70, 500, 536, 411, 384, 478, 431, 468, 206, 547, 698, 747, 819, 729, 675, 683, 328, 355, 89, 513, 545, 395, 217, 34, 161, 815, 166, 189, 429, 870, 456, 334, 515, 324, 380, 423, 702, 182, 503, 87, 12, 676, 243, 867, 16, 288, 14, 582, 407, 354, 291, 168, 901, 377, 323, 761, 665, 206, 417, 228, 408, 397, 330, 245, 467, 322, 710, 352, 276, 3, 658, 826, 394, 289, 612, 82, 842, 93, 739, 212, 628, 533, 397, 785, 306, 229, 444, 83, 105, 85, 424, 678, 756, 538, 174, 457, 640, 639, 229, 503, 209, 635, 668, 899, 305, 665, 575, 68, 259, 716, 25, 73, 147, 127, 213, 261, 868, 767, 817, 16, 106, 531, 555, 37, 348, 9, 376, 310, 163, 690, 426, 577, 203, 26, 641, 70, 440, 747, 906, 240, 454, 579, 332, 734, 829, 414, 550, 539, 273, 338, 125, 739, 290, 458, 695, 31, 709, 624, 580, 862, 672, 706, 818, 845, 776, 191, 757, 428, 114, 664, 298, 294, 349, 663, 495, 387, 789, 872, 452, 182, 110, 887, 588, 136, 98, 663, 91, 169, 692, 723, 18, 364, 218, 126, 574, 270, 643, 612, 331, 853, 563, 568, 179, 370, 883, 648, 429, 118, 504, 295, 631, 245, 620, 619, 198, 706, 516, 600, 438, 697, 762, 331, 873, 301, 806, 551, 167, 326, 706, 744, 506, 299, 242, 120, 737, 269, 158, 727, 439, 507, 168, 254, 201, 762, 731, 814, 275, 865, 180, 779, 740, 807, 646, 886, 40, 30, 827, 87, 45, 693, 417, 119, 885, 524, 866, 186, 47, 836, 513, 870, 699, 789, 116, 129, 575, 539, 832, 372, 670, 254, 577, 488, 759, 324, 797, 699, 760, 506, 141, 596, 405, 732, 426, 778, 679, 281, 653, 262, 167, 96, 360, 716, 587, 64, 553, 504, 855, 170, 726, 174, 711, 120, 598, 560, 644, 124, 794, 608, 447, 152, 657, 178, 197, 874, 285, 408, 601, 312, 26, 140, 772, 680, 795, 814, 865, 558, 39, 325, 689, 421, 613, 339, 376, 386, 823, 286, 329, 655, 66, 43, 884, 732, 731, 378, 674, 400, 668, 432, 518, 60, 361, 368, 846, 120, 631, 416, 409, 425, 688, 608, 724, 88, 209, 680, 662, 498, 683, 770, 545, 251, 37, 642, 537, 93, 718, 244, 817, 700, 184, 647, 806, 802, 487, 531, 55, 388, 774, 47, 805, 817, 624, 65, 430, 550, 863, 501, 802, 132, 128, 821, 335, 605, 567, 166, 618, 378, 813, 599, 435, 123, 463, 50, 143, 722, 5, 65, 92, 351, 56, 594, 291, 80, 838, 859, 10, 815, 557, 50, 129, 218, 399, 391, 147, 798, 666, 231, 775, 422, 832, 740, 829, 642, 451, 443, 882, 127, 605, 122, 139, 157, 256, 513, 298, 320, 898, 874, 524, 366, 889, 592, 194, 379, 210, 791, 20, 851, 396, 568, 416, 551, 225, 49, 331, 428, 678, 516, 529, 334, 826, 154, 133, 472, 139, 199, 193, 570, 885, 350, 43, 310, 340, 88, 830, 171, 810, 433, 781, 301, 66, 415, 343, 151, 33, 545, 441, 320, 468, 480, 267, 54, 359, 293, 898, 554, 373, 739, 338, 238, 873, 78, 407, 627, 292, 491, 640, 15, 113, 880, 195, 755, 363, 492, 267, 201, 161, 844, 79, 821, 38, 721, 725, 749, 857, 885, 578, 379, 904, 358, 38, 547, 751, 700, 570, 260, 599, 614, 553, 319, 175, 891, 160, 615, 172, 533, 451, 481, 112, 780, 410, 615, 271, 809, 105, 830, 411, 628, 727, 579, 689, 537, 526, 528, 49, 361, 697, 614, 215, 584, 59, 370, 188, 99, 54, 666, 305, 235, 311, 92, 412, 402, 676, 216, 726, 900, 497, 43, 881, 547, 786, 412, 153, 654, 342, 353, 475, 337, 528, 385, 144, 338, 12, 163, 165, 559, 456, 713, 482, 403, 832, 159, 485, 455, 476, 505, 432, 383, 563, 358, 57, 606, 62, 509, 671, 73, 189, 349, 715, 645, 27, 758, 223, 660, 17, 268, 5, 744, 355, 442, 178, 411, 671, 398, 387, 41, 36, 623, 800, 581, 282, 594, 265, 24, 841, 518, 76, 784, 613, 238, 589, 332, 482, 564, 774, 823, 494, 847, 274, 618, 881, 115, 749, 762, 209, 424, 738, 611, 453, 655, 336, 278, 477, 196, 780, 301, 357, 761, 661, 32, 216, 669, 247, 702, 344, 276, 130, 484, 264, 750, 274, 162, 91, 511, 21, 765, 783, 651, 450, 603, 481, 799, 144, 283, 506, 398, 248, 306, 418, 650, 638, 803, 499, 899, 480, 824, 317, 704, 243, 742, 459, 558, 799, 328, 462, 810, 475, 840, 444, 38, 837, 305, 397, 477, 529, 142, 850, 508, 154, 795, 0, 241, 371, 45, 698, 544, 677, 479, 904, 439, 115, 387, 160, 154, 562, 573, 789, 485, 895, 143, 346, 479, 679, 755, 854, 315, 796, 48, 111, 367, 248, 905, 129, 385, 671, 191, 617, 292, 906, 134, 191, 469, 556, 557, 149, 33, 593, 554, 820, 779, 540, 620, 734, 69, 288, 650, 17, 804, 617, 897, 459, 432, 194, 859, 732, 565, 869, 781, 809, 108, 419, 573, 809, 93, 212, 195, 155, 329, 196, 404, 649, 97, 285, 602, 137, 133, 487, 822, 454, 75, 895, 239, 630, 139, 853, 306, 345, 595, 905, 636, 399, 750, 505, 197, 350, 745, 905, 462, 343, 29, 504, 717, 372, 907, 6, 272, 906, 30, 382, 98, 622, 286, 278, 485, 15, 597, 767, 55, 336, 84, 764, 259, 207, 682, 334, 896, 889, 593, 754, 235, 256, 5, 327, 679, 345, 759, 646, 752, 353, 90, 691, 622, 811, 670, 652, 770, 333, 179, 116, 450, 595, 284, 177, 398, 319, 175, 35, 748, 872, 709, 39, 95, 590, 842, 185, 312, 503, 235, 682, 250, 122, 257, 282, 7, 186, 636, 216, 405, 284, 666, 70, 434, 816, 871, 313, 204, 491, 227, 34, 837, 401, 344, 461, 13, 783, 707, 516, 501, 642, 250, 377, 752, 27, 348, 764, 118, 77, 655, 346, 509, 187, 284, 215, 590, 150, 716, 109, 201, 213, 83, 841, 223, 879, 404, 580, 755, 710, 759, 431, 111, 777}

    {907, 577, 21, 303, 427, 707, 365, 30, 793, 2, 369, 159, 456, 760, 251, 787, 825, 484, 879, 406, 576, 251, 712, 309, 172, 436, 45, 107, 202, 708, 607, 227, 535, 662, 384, 360, 836, 187, 558, 610, 66, 703, 486, 141, 86, 498, 440, 765, 318, 268, 645, 584, 234, 32, 429, 907, 318, 526, 771, 872, 763, 437, 662, 68, 893, 714, 472, 654, 362, 328, 882, 587, 21, 578, 183, 508, 833, 267, 818, 170, 833, 253, 478, 54, 497, 581, 342, 500, 202, 62, 758, 374, 275, 435, 697, 863, 446, 69, 258, 572, 633, 140, 741, 609, 390, 714, 287, 104, 85, 406, 635, 99, 470, 616, 673, 389, 669, 578, 335, 200, 849, 325, 296, 449, 619, 22, 242, 185, 818, 896, 299, 591, 575, 470, 171, 440, 123, 76, 146, 592, 169, 158, 1, 690, 253, 626, 819, 633, 380, 800, 719, 843, 371, 746, 266, 842, 219, 316, 560, 94, 584, 197, 585, 566, 684, 763, 390, 466, 392, 360, 276, 633, 67, 153, 538, 385, 773, 237, 155, 438, 894, 822, 228, 544, 586, 848, 164, 433, 73, 208, 368, 59, 668, 632, 228, 219, 898, 244, 183, 185, 289, 754, 24, 409, 510, 845, 816, 796, 695, 46, 728, 351, 769, 186, 572, 804, 472, 22, 290, 836, 103, 302, 780, 825, 805, 851, 44, 574, 58, 183, 496, 667, 90, 512, 220, 204, 460, 613, 382, 435, 396, 44, 29, 853, 280, 65, 366, 610, 304, 156, 365, 68, 466, 684, 300, 555, 169, 902, 19, 25, 807, 33, 569, 751, 58, 894, 297, 589, 449, 465, 696, 903, 814, 488, 559, 556, 489, 451, 79, 130, 852, 877, 742, 390, 893, 252, 7, 464, 708, 797, 0, 329, 313, 212, 852, 736, 493, 261, 297, 224, 623, 142, 412, 110, 883, 452, 374, 36, 839, 420, 849, 342, 564, 745, 303, 8, 580, 46, 603, 144, 221, 766, 488, 369, 894, 681, 304, 658, 717, 264, 253, 790, 439, 529, 92, 74, 638, 173, 824, 445, 602, 233, 34, 273, 555, 788, 495, 119, 626, 386, 388, 687, 840, 637, 746, 453, 279, 339, 691, 354, 57, 562, 288, 595, 222, 302, 308, 713, 851, 134, 272, 71, 246, 844, 475, 860, 443, 705, 843, 695, 863, 249, 85, 56, 738, 674, 132, 497, 89, 761, 265, 156, 124, 559, 130, 40, 258, 252, 696, 743, 664, 23, 347, 571, 779, 240, 601, 101, 391, 602, 403, 323, 690, 601, 587, 188, 180, 791, 861, 200, 424, 573, 635, 877, 94, 887, 135, 802, 714, 900, 596, 249, 19, 519, 368, 634, 131, 104, 689, 828, 812, 718, 105, 883, 878, 473, 541, 84, 724, 654, 522, 307, 41, 224, 113, 534, 598, 651, 864, 604, 517, 607, 426, 574, 375, 568, 419, 378, 150, 787, 13, 839, 770, 121, 847, 117, 356, 849, 608, 729, 210, 476, 804, 221, 346, 792, 463, 28, 436, 392, 856, 585, 805, 415, 380, 490, 806, 632, 249, 564, 269, 381, 746, 434, 549, 376, 399, 384, 688, 173, 606, 462, 882, 109, 226, 652, 198, 576, 719, 325, 96, 375, 700, 310, 490, 94, 878, 413, 641, 785, 570, 355, 902, 269, 252, 715, 858, 229, 81, 116, 717, 801, 181, 79, 362, 450, 778, 44, 600, 867, 542, 701, 895, 722, 176, 794, 160, 152, 77, 307, 773, 427, 192, 230, 837, 565, 625, 674, 353, 768, 357, 494, 56, 757, 436, 766, 37, 14, 336, 102, 845, 448, 525, 857, 241, 203, 48, 52, 187, 514, 177, 808, 275, 810, 190, 458, 492, 566, 535, 492, 9, 899, 448, 227, 260, 239, 148, 443, 263, 753, 838, 109, 248, 715, 408, 495, 831, 27, 67, 188, 691, 236, 214, 95, 459, 518, 890, 454, 879, 890, 677, 630, 507, 830, 772, 364, 512, 567, 35, 71, 24, 461, 735, 687, 692, 720, 870, 391, 162, 277, 19, 730, 107, 772, 241, 200, 263, 632, 763, 117, 407, 890, 641, 418, 793, 623, 236, 413, 631, 362, 515, 771, 441, 232, 838, 790, 321, 726, 295, 256, 571, 69, 625, 507, 266, 293, 58, 514, 32, 393, 143, 118, 855, 215, 333, 742, 736, 646, 800, 234, 281, 597, 151, 157, 102, 148, 134, 225, 347, 534, 317, 308, 300, 572, 884, 326, 77, 71, 681, 294, 437, 296, 583, 214, 289, 835, 540, 106, 298, 526, 768, 514, 81, 534, 135, 861, 211, 888, 300, 735, 710, 523, 271, 18, 724, 791, 149, 569, 287, 431, 522, 486, 834, 502, 792, 4, 419, 402, 651, 414, 713, 616, 464, 406, 721, 868, 4, 760, 743, 356, 121, 164, 11, 878, 296, 60, 741, 824, 240, 238, 850, 115, 108, 727, 247, 458, 190, 869, 135, 525, 609, 455, 146, 896, 600, 542, 447, 102, 520, 332, 327, 858, 349, 876, 244, 89, 846, 123, 592, 320, 483, 673, 236, 552, 363, 374, 381, 231, 8, 860, 176, 821, 128, 4, 178, 137, 237, 442, 259, 247, 900, 321, 351, 163, 125, 175, 340, 206, 59, 359, 64, 469, 261, 114, 42, 312, 871, 146, 423, 902, 31, 629, 756, 652, 428, 402, 892, 222, 704, 585, 317, 11, 145, 389, 787, 897, 199, 605, 367, 499, 471, 834, 359, 273, 97, 55, 124, 321, 217, 591, 591, 660, 91, 270, 681, 594, 794, 803, 489, 673, 347, 192, 707, 427, 590, 709, 777, 634, 81, 474, 698, 603, 702, 536, 569, 51, 510, 153, 731, 543, 723, 126, 350, 414, 675, 470, 588, 327, 725, 365, 586, 543, 111, 369, 846, 237, 860, 644, 758, 341, 455, 14, 820, 776, 184, 483, 343, 232, 52, 136, 266, 167, 512, 774, 583, 795, 132, 561, 539, 2, 26, 389, 372, 8, 798, 280, 53, 121, 891, 741, 532, 446, 777, 533, 647, 610, 278, 53, 550, 823, 421, 155, 172, 540, 812, 743, 136, 773, 803, 737, 181, 394, 876, 277, 233, 246, 40, 142, 255, 51, 637, 692, 151, 892, 283, 682, 309, 544, 335, 703, 224, 647, 400, 672, 104, 474, 388, 796, 257, 337, 589, 162, 643, 747, 750, 272, 307, 82, 205, 370, 525, 693, 527, 677, 523, 609, 314, 471, 583, 190, 480, 687, 373, 457, 841, 394, 250, 549, 465, 685, 294, 445, 831, 530, 297, 782, 769, 392, 468, 471, 604, 527, 177, 308, 718, 659, 421, 782, 457, 523, 530, 581, 730, 543, 576, 627, 364, 637, 626, 107, 211, 552, 483, 231, 897, 366, 904, 893, 496, 510, 1, 465, 100, 165, 285, 189, 686, 64, 386, 315, 720, 373, 599, 262, 659, 560, 571, 263, 148, 147, 52, 733, 448, 271, 491, 493, 629, 145, 644, 733, 711, 137, 61, 75, 688, 393, 2, 728, 449, 323, 145, 566, 166, 222, 541, 660, 712, 173, 875, 598, 138, 341, 582, 299, 649, 694, 705, 225, 855, 693, 604, 541, 661, 722, 548, 725, 657, 866, 230, 864, 705, 246, 395, 382, 418, 862, 23, 756, 888, 728, 214, 556, 891, 417, 76, 337, 226, 862, 745, 835, 490, 164, 729, 856, 696, 694, 826, 242, 330, 634, 464, 848, 311, 74, 881, 1, 834, 653, 723, 704, 699, 254, 748, 524, 207, 42, 174, 103, 410, 72, 854, 546, 752, 509, 753, 801, 354, 36, 798, 478, 184, 138, 903, 445, 126, 171, 785, 522, 217, 371, 157, 341, 375, 612, 25, 469, 493, 441, 199, 502, 857, 793, 381, 226, 621, 125, 712, 850, 181, 831, 277, 434, 383, 128, 98, 202, 314, 797, 22, 18, 593, 751, 667, 519, 210, 53, 852, 112, 561, 467, 113, 159, 324, 521, 10, 653, 597, 409, 627, 318, 467, 618, 223, 13, 874, 636, 131, 192, 844, 532, 489, 80, 393, 486, 684, 781, 858, 311, 367, 667, 29, 876, 438, 356, 313, 383, 396, 31, 880, 61, 887, 521, 12, 295, 114, 453, 502, 775, 515, 410, 345, 420, 621, 11, 403, 766, 686, 839, 873, 792, 801, 208, 97, 768, 864, 220, 764, 41, 270, 180, 290, 473, 283, 287, 496, 721, 629, 549, 868, 233, 413, 720, 322, 42, 530, 170, 57, 694, 117, 348, 807, 422, 621, 703, 95, 901, 20, 753, 314, 548, 339, 78}

    Returns: {1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1 }

  58. 932

    {421, 525, 700, 912, 573, 541, 747, 200, 191, 670, 290, 349, 769, 296, 162, 29, 491, 848, 387, 406, 813, 675, 534, 801, 248, 176, 105, 37, 288, 694, 607, 541, 675, 881, 455, 925, 196, 187, 156, 257, 832, 828, 542, 614, 44, 566, 858, 271, 489, 178, 768, 718, 247, 342, 59, 699, 855, 181, 524, 731, 600, 437, 877, 564, 388, 803, 515, 851, 760, 119, 652, 34, 492, 540, 256, 583, 870, 260, 91, 197, 768, 60, 788, 369, 845, 926, 441, 152, 110, 732, 25, 185, 590, 796, 712, 129, 705, 42, 375, 586, 65, 890, 250, 480, 147, 754, 72, 570, 738, 547, 307, 169, 186, 286, 905, 839, 796, 601, 183, 466, 617, 61, 124, 368, 634, 443, 838, 652, 872, 396, 274, 373, 300, 824, 317, 799, 635, 333, 262, 273, 886, 3, 432, 236, 599, 556, 458, 894, 824, 441, 624, 615, 274, 750, 427, 506, 269, 175, 380, 233, 113, 277, 757, 71, 609, 865, 779, 821, 467, 416, 874, 285, 7, 218, 909, 739, 70, 625, 368, 58, 249, 304, 297, 241, 848, 311, 125, 414, 696, 763, 326, 275, 217, 316, 799, 140, 76, 751, 586, 280, 179, 700, 258, 582, 3, 108, 485, 761, 518, 530, 390, 710, 416, 465, 662, 328, 842, 913, 577, 895, 314, 255, 828, 1, 774, 67, 118, 833, 925, 723, 787, 78, 817, 478, 331, 538, 514, 815, 799, 28, 869, 62, 255, 664, 695, 167, 167, 367, 17, 796, 609, 641, 496, 596, 699, 383, 914, 613, 556, 411, 822, 685, 670, 737, 480, 922, 910, 465, 857, 770, 405, 278, 357, 856, 812, 382, 67, 198, 565, 395, 274, 74, 736, 867, 851, 886, 112, 221, 811, 597, 635, 209, 375, 80, 326, 185, 901, 919, 28, 306, 513, 122, 398, 819, 501, 4, 333, 622, 478, 592, 294, 114, 120, 520, 589, 616, 292, 927, 173, 458, 272, 922, 915, 214, 904, 615, 283, 75, 547, 652, 143, 391, 265, 550, 188, 800, 387, 610, 14, 918, 339, 519, 342, 514, 878, 53, 781, 689, 252, 858, 481, 269, 623, 355, 104, 219, 170, 44, 256, 194, 423, 742, 430, 857, 480, 920, 716, 252, 281, 106, 579, 446, 361, 338, 115, 896, 159, 163, 55, 667, 110, 767, 118, 659, 518, 92, 162, 765, 656, 24, 523, 189, 216, 869, 451, 297, 927, 507, 827, 672, 256, 923, 154, 202, 308, 220, 0, 569, 139, 449, 539, 632, 46, 912, 199, 117, 84, 185, 484, 722, 738, 112, 633, 473, 868, 346, 910, 377, 280, 571, 704, 372, 861, 218, 415, 189, 28, 510, 825, 454, 783, 44, 891, 750, 128, 624, 284, 194, 231, 583, 628, 376, 77, 382, 13, 216, 360, 311, 786, 417, 763, 138, 760, 581, 807, 831, 22, 745, 291, 428, 212, 434, 800, 717, 455, 301, 371, 10, 821, 19, 688, 142, 245, 408, 844, 580, 826, 680, 303, 267, 95, 195, 550, 533, 794, 81, 57, 552, 712, 463, 305, 22, 357, 281, 438, 210, 205, 667, 485, 143, 579, 737, 605, 477, 321, 843, 786, 791, 778, 806, 631, 567, 235, 210, 830, 828, 557, 457, 213, 221, 727, 402, 453, 859, 572, 606, 724, 478, 464, 745, 920, 456, 54, 764, 650, 241, 30, 820, 126, 173, 302, 711, 847, 349, 520, 634, 723, 258, 819, 693, 271, 447, 322, 607, 12, 726, 586, 557, 534, 481, 602, 559, 152, 668, 225, 906, 593, 81, 469, 107, 176, 257, 286, 29, 224, 179, 621, 13, 299, 394, 378, 710, 137, 392, 502, 357, 812, 609, 429, 90, 401, 516, 770, 782, 310, 600, 102, 529, 917, 499, 769, 483, 871, 837, 727, 116, 597, 491, 472, 542, 130, 617, 299, 860, 339, 787, 270, 578, 430, 130, 33, 287, 230, 41, 702, 728, 669, 70, 125, 740, 63, 705, 746, 12, 811, 254, 842, 550, 657, 900, 166, 19, 287, 496, 128, 721, 253, 329, 26, 608, 893, 412, 40, 714, 825, 374, 384, 736, 734, 814, 812, 24, 840, 244, 804, 247, 92, 102, 370, 585, 740, 855, 349, 743, 570, 237, 761, 809, 677, 231, 823, 407, 461, 543, 636, 611, 16, 348, 505, 69, 136, 824, 358, 300, 695, 719, 914, 653, 841, 724, 320, 471, 342, 276, 31, 715, 251, 99, 619, 451, 773, 414, 492, 649, 914, 227, 418, 742, 416, 645, 385, 439, 32, 765, 674, 726, 147, 126, 190, 778, 468, 826, 501, 643, 808, 696, 524, 119, 15, 813, 462, 857, 601, 836, 192, 490, 25, 21, 623, 260, 141, 315, 721, 615, 774, 456, 571, 350, 263, 387, 188, 455, 30, 383, 221, 397, 93, 163, 677, 162, 403, 490, 696, 488, 64, 476, 843, 409, 372, 354, 270, 243, 684, 802, 81, 410, 278, 686, 679, 498, 780, 267, 25, 368, 500, 88, 469, 891, 182, 347, 382, 574, 321, 745, 815, 591, 554, 878, 545, 413, 115, 306, 826, 106, 893, 371, 754, 463, 191, 417, 587, 534, 519, 855, 190, 440, 876, 503, 779, 668, 631, 29, 755, 112, 16, 352, 251, 314, 492, 431, 173, 80, 788, 552, 400, 34, 590, 267, 161, 578, 917, 237, 642, 710, 899, 584, 867, 687, 585, 304, 620, 773, 575, 197, 674, 603, 397, 124, 242, 721, 264, 439, 49, 73, 848, 583, 327, 10, 763, 171, 217, 889, 142, 576, 730, 732, 619, 144, 775, 138, 569, 76, 887, 643, 104, 135, 388, 457, 335, 734, 213, 27, 870, 714, 362, 702, 530, 474, 288, 509, 397, 170, 56, 807, 181, 182, 667, 483, 391, 489, 51, 251, 645, 61, 816, 508, 637, 544, 409, 634, 152, 388, 51, 371, 338, 890, 3, 553, 312, 928, 206, 229, 341, 719, 147, 319, 590, 628, 658, 212, 749, 790, 259, 323, 395, 640, 448, 573, 821, 771, 737, 119, 701, 24, 635, 790, 616, 867, 369, 169, 562, 624, 849, 575, 900, 818, 589, 231, 882, 37, 514, 806, 322, 334, 7, 866, 69, 64, 905, 905, 603, 820, 398, 838, 316, 179, 832, 502, 613, 527, 823, 573, 135, 861, 807, 639, 443, 1, 161, 282, 517, 233, 160, 608, 648, 193, 805, 272, 428, 645, 332, 99, 86, 107, 327, 181, 324, 380, 15, 184, 837, 809, 462, 174, 706, 614, 158, 155, 744, 889, 512, 154, 500, 35, 412, 728, 389, 429, 307, 301, 399, 312, 99, 37, 706, 574, 886, 415, 4, 306, 422, 561, 344, 846, 101, 769, 815, 41, 436, 893, 575, 742, 93, 596, 843, 538, 105, 411, 664, 926, 362, 361, 774, 495, 921, 471, 746, 19, 679, 226, 226, 773, 864, 759, 63, 892, 649, 259, 225, 236, 585, 240, 639, 230, 781, 149, 517, 153, 665, 287, 401, 378, 928, 157, 232, 146, 640, 262, 354, 776, 803, 751, 909, 259, 236, 178, 385, 48, 38, 344, 108, 340, 756, 750, 662, 191, 282, 412, 447, 460, 17, 215, 406, 308, 442, 778, 673, 877, 629, 65, 83, 18, 307, 275, 691, 449, 823, 323, 772, 738, 766, 61, 792, 47, 403, 64, 705, 709, 734, 548, 204, 678, 840, 679, 924, 13, 335, 684, 868, 361, 399, 926, 761, 285, 32, 486, 509, 665, 20, 835, 159, 132, 426, 384, 41, 66, 918, 31, 291, 665, 7, 561, 594, 830, 572, 52, 197, 688, 657, 671, 144, 65, 719, 678, 108, 329, 613, 928, 474, 434, 54, 298, 348, 420, 67, 266, 797, 153, 47, 915, 32, 533, 429, 744, 685, 865, 782, 864, 596, 30, 341, 47, 671, 311, 318, 302, 341, 120, 189, 82, 398, 226, 211, 930, 646, 473, 336, 218, 903, 880, 94, 863, 42, 755, 300, 97, 280, 725, 332, 537, 36, 291, 813, 468, 673, 310, 272, 728, 783, 448, 668, 11, 190, 89, 653, 288, 331, 33, 869, 693, 296, 767, 155, 780, 10, 625, 507, 850, 466, 182, 871, 513, 154, 919, 389, 863, 34, 5, 403, 71, 882, 496, 15, 515, 854, 270, 483, 253, 685, 157, 145, 103, 426, 790, 380, 579, 540, 229, 771, 520, 543, 604, 690, 334, 872, 776, 830, 298, 410, 26, 608, 230, 880, 706, 314, 508, 862, 669, 142, 465, 783, 129, 798, 317, 132, 45, 156, 686, 816, 630, 320, 395, 733, 658, 90, 385, 805, 523, 113, 599, 916, 505, 243, 700, 92, 568, 917, 784, 422, 199, 861, 57, 885, 233, 269, 747, 117, 325}

    {873, 299, 715, 562, 160, 874, 411, 565, 508, 91, 883, 58, 507, 298, 913, 113, 791, 838, 657, 525, 871, 834, 369, 102, 511, 122, 611, 328, 279, 729, 140, 286, 353, 528, 570, 433, 180, 810, 528, 386, 482, 535, 292, 660, 338, 167, 646, 752, 4, 126, 425, 62, 682, 200, 335, 400, 161, 580, 202, 920, 884, 150, 435, 692, 512, 172, 313, 49, 42, 816, 614, 903, 808, 802, 600, 250, 352, 606, 246, 584, 379, 23, 680, 337, 487, 865, 475, 513, 249, 52, 445, 53, 103, 55, 498, 718, 518, 196, 897, 616, 781, 505, 814, 205, 116, 58, 100, 922, 377, 347, 529, 713, 834, 79, 841, 883, 196, 16, 253, 479, 367, 148, 210, 457, 217, 6, 279, 38, 495, 681, 746, 663, 84, 836, 36, 538, 780, 916, 493, 753, 358, 530, 482, 283, 907, 651, 903, 521, 469, 220, 612, 263, 827, 237, 183, 800, 407, 422, 714, 693, 265, 554, 805, 370, 636, 735, 564, 277, 535, 77, 862, 856, 443, 144, 798, 661, 864, 60, 140, 482, 363, 494, 441, 114, 438, 802, 166, 374, 273, 798, 168, 795, 85, 158, 160, 121, 486, 40, 876, 392, 460, 875, 103, 491, 647, 674, 228, 757, 177, 924, 720, 146, 421, 717, 38, 168, 148, 121, 801, 459, 88, 336, 415, 691, 348, 155, 637, 929, 184, 493, 897, 351, 598, 365, 636, 359, 622, 684, 359, 235, 801, 129, 393, 408, 906, 264, 844, 560, 234, 760, 68, 268, 410, 567, 360, 644, 128, 555, 525, 74, 428, 137, 246, 5, 707, 756, 536, 345, 610, 854, 793, 545, 675, 789, 192, 427, 352, 703, 138, 598, 424, 626, 404, 26, 228, 463, 265, 839, 894, 576, 486, 93, 544, 558, 448, 470, 337, 510, 656, 558, 87, 589, 649, 123, 517, 522, 591, 551, 389, 907, 424, 127, 11, 648, 176, 702, 165, 405, 686, 739, 537, 697, 766, 238, 208, 379, 340, 309, 214, 36, 315, 234, 261, 771, 421, 366, 171, 9, 885, 605, 446, 546, 565, 22, 271, 470, 588, 363, 39, 150, 925, 791, 676, 546, 59, 240, 544, 810, 884, 540, 1, 786, 804, 578, 755, 215, 526, 563, 587, 394, 27, 50, 628, 810, 192, 435, 356, 0, 180, 910, 689, 819, 313, 655, 106, 604, 241, 923, 201, 252, 690, 391, 627, 56, 118, 717, 683, 531, 294, 663, 305, 644, 323, 711, 598, 345, 435, 923, 563, 390, 261, 365, 504, 346, 641, 902, 209, 574, 681, 654, 263, 490, 497, 476, 66, 177, 835, 822, 516, 899, 644, 419, 319, 898, 785, 638, 502, 472, 27, 666, 360, 187, 617, 276, 123, 35, 603, 762, 503, 222, 493, 98, 789, 808, 343, 454, 777, 194, 881, 77, 854, 200, 180, 618, 776, 401, 63, 73, 840, 377, 115, 648, 619, 220, 697, 571, 488, 809, 736, 211, 364, 527, 588, 449, 566, 775, 94, 320, 111, 321, 100, 908, 324, 404, 224, 669, 48, 452, 343, 268, 884, 551, 186, 57, 141, 672, 424, 536, 851, 604, 33, 87, 545, 539, 426, 431, 239, 582, 139, 618, 295, 882, 201, 172, 605, 587, 743, 127, 145, 290, 872, 683, 549, 293, 229, 654, 264, 632, 489, 688, 23, 207, 223, 445, 676, 121, 569, 729, 859, 130, 96, 524, 111, 832, 40, 896, 476, 650, 792, 439, 21, 725, 18, 913, 17, 733, 629, 898, 901, 433, 852, 131, 846, 509, 475, 223, 90, 748, 50, 795, 151, 730, 862, 477, 879, 186, 168, 712, 556, 531, 224, 74, 450, 516, 474, 834, 523, 918, 642, 479, 860, 132, 931, 312, 444, 305, 866, 741, 54, 532, 254, 317, 79, 753, 351, 672, 8, 21, 919, 898, 568, 759, 651, 831, 836, 887, 381, 9, 720, 245, 825, 541, 120, 45, 324, 849, 250, 100, 904, 829, 244, 562, 707, 234, 521, 531, 86, 216, 655, 908, 208, 845, 633, 46, 703, 817, 325, 227, 334, 704, 372, 751, 546, 76, 901, 584, 133, 248, 759, 222, 880, 563, 453, 551, 664, 724, 671, 577, 134, 417, 164, 794, 329, 165, 88, 698, 266, 754, 833, 451, 930, 164, 528, 699, 708, 222, 83, 741, 279, 114, 275, 606, 199, 209, 318, 461, 198, 2, 743, 682, 526, 284, 559, 698, 500, 232, 850, 91, 506, 921, 373, 136, 902, 794, 703, 289, 239, 639, 640, 716, 281, 149, 72, 208, 576, 931, 803, 87, 408, 219, 446, 302, 353, 283, 902, 31, 792, 592, 134, 874, 818, 591, 911, 50, 487, 157, 889, 878, 258, 722, 98, 888, 844, 768, 529, 758, 195, 660, 379, 659, 174, 564, 166, 125, 572, 553, 84, 896, 929, 69, 468, 477, 484, 2, 409, 262, 631, 731, 548, 203, 384, 35, 78, 762, 611, 504, 68, 245, 929, 343, 347, 145, 764, 440, 273, 756, 260, 560, 673, 238, 183, 470, 793, 364, 495, 8, 511, 752, 708, 782, 845, 630, 96, 254, 548, 2, 432, 175, 437, 856, 48, 316, 434, 879, 390, 127, 666, 555, 697, 850, 479, 261, 827, 109, 911, 203, 860, 779, 117, 295, 66, 651, 526, 691, 777, 301, 623, 402, 784, 333, 906, 447, 6, 747, 908, 414, 386, 289, 285, 930, 762, 124, 407, 101, 610, 344, 475, 116, 322, 566, 247, 499, 485, 364, 98, 105, 255, 227, 726, 655, 163, 764, 927, 9, 875, 442, 366, 841, 473, 122, 704, 602, 170, 593, 758, 303, 423, 607, 104, 367, 405, 337, 206, 238, 680, 629, 647, 235, 376, 853, 297, 537, 207, 404, 75, 149, 835, 97, 638, 522, 748, 831, 788, 842, 276, 849, 555, 787, 23, 11, 293, 552, 814, 653, 187, 438, 924, 345, 413, 727, 354, 290, 207, 156, 663, 753, 650, 131, 82, 330, 915, 62, 900, 110, 308, 188, 328, 18, 511, 454, 178, 599, 501, 139, 547, 431, 666, 730, 158, 658, 177, 243, 713, 164, 739, 239, 151, 313, 89, 326, 244, 355, 49, 232, 6, 12, 440, 60, 542, 165, 39, 78, 784, 376, 895, 797, 687, 201, 515, 683, 304, 242, 847, 837, 248, 881, 682, 512, 43, 396, 353, 847, 359, 383, 618, 85, 266, 887, 336, 892, 707, 670, 148, 136, 393, 775, 627, 214, 370, 481, 396, 289, 418, 873, 52, 662, 459, 203, 171, 445, 452, 249, 319, 612, 806, 82, 752, 14, 711, 661, 20, 829, 246, 621, 310, 911, 641, 467, 464, 80, 358, 452, 39, 859, 638, 912, 820, 137, 870, 419, 740, 418, 83, 198, 295, 433, 748, 146, 720, 594, 716, 559, 741, 729, 637, 460, 205, 212, 677, 521, 811, 172, 95, 560, 622, 362, 378, 899, 553, 204, 174, 406, 461, 0, 868, 532, 701, 309, 153, 79, 59, 43, 772, 109, 875, 626, 789, 723, 436, 533, 373, 355, 733, 458, 340, 846, 785, 535, 356, 284, 916, 643, 692, 725, 97, 858, 484, 581, 592, 797, 866, 625, 219, 228, 444, 240, 303, 193, 627, 709, 601, 242, 202, 107, 561, 804, 494, 363, 351, 822, 749, 86, 767, 632, 339, 215, 394, 595, 891, 419, 381, 133, 549, 833, 647, 498, 758, 772, 709, 131, 133, 735, 46, 873, 70, 852, 393, 75, 678, 536, 350, 464, 402, 381, 450, 595, 278, 681, 453, 309, 642, 423, 735, 331, 883, 444, 374, 73, 744, 143, 557, 568, 818, 399, 597, 687, 921, 694, 656, 581, 695, 325, 366, 698, 436, 757, 471, 151, 472, 20, 95, 554, 885, 659, 749, 594, 829, 72, 89, 765, 56, 510, 888, 620, 223, 94, 456, 193, 101, 150, 43, 894, 330, 494, 713, 580, 327, 292, 661, 211, 96, 14, 55, 332, 630, 356, 53, 907, 294, 897, 660, 549, 497, 654, 532, 732, 375, 169, 400, 621, 853, 85, 430, 567, 488, 890, 68, 459, 577, 111, 425, 123, 206, 852, 432, 731, 346, 853, 593, 135, 633, 5, 689, 701, 365, 413, 195, 293, 722, 134, 184, 504, 71, 503, 909, 204, 159, 427, 766, 539, 793, 676, 527, 718, 602, 895, 620, 839, 876, 519, 777, 888, 330, 386, 694, 277, 708, 425, 795, 715, 904, 877, 690, 442, 692, 646, 497, 51, 213, 225, 543, 45, 931, 350, 392, 450, 462, 595, 420, 558, 892, 817, 770, 437, 466, 467, 506, 487, 109, 420, 8, 141, 612, 257, 315, 588, 318, 879, 268, 175, 282, 785, 863, 499, 582, 626, 522, 296}

    Returns: {0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1 }

  59. 892

    {752, 95, 752, 153, 678, 116, 292, 430, 471, 852, 519, 650, 762, 579, 287, 350, 321, 177, 598, 400, 884, 859, 872, 29, 639, 602, 179, 297, 360, 286, 521, 322, 178, 650, 305, 254, 453, 55, 665, 210, 732, 541, 363, 796, 459, 355, 261, 798, 1, 185, 717, 26, 731, 886, 486, 505, 113, 648, 275, 457, 156, 778, 164, 773, 403, 425, 191, 325, 279, 199, 751, 620, 691, 503, 527, 163, 520, 337, 101, 512, 161, 846, 684, 432, 224, 214, 671, 493, 629, 219, 716, 481, 282, 215, 338, 373, 510, 749, 804, 654, 148, 154, 675, 86, 575, 695, 36, 291, 210, 594, 781, 463, 106, 13, 320, 874, 496, 880, 253, 855, 162, 772, 381, 872, 473, 670, 609, 755, 509, 468, 47, 765, 846, 267, 154, 668, 159, 322, 153, 444, 315, 643, 677, 869, 413, 580, 361, 425, 457, 802, 469, 833, 140, 582, 864, 719, 644, 852, 205, 495, 552, 409, 242, 446, 392, 211, 570, 687, 491, 250, 1, 591, 139, 94, 157, 108, 666, 799, 80, 617, 426, 73, 645, 520, 184, 25, 102, 818, 160, 186, 656, 95, 551, 884, 460, 121, 130, 140, 81, 81, 431, 391, 170, 534, 884, 624, 531, 41, 96, 495, 190, 357, 669, 352, 602, 49, 681, 777, 856, 693, 6, 500, 580, 136, 307, 391, 2, 870, 688, 645, 493, 246, 689, 269, 248, 15, 11, 58, 461, 96, 167, 503, 296, 24, 697, 455, 716, 605, 506, 208, 162, 376, 170, 78, 748, 616, 760, 566, 142, 144, 401, 482, 103, 517, 324, 288, 258, 807, 331, 219, 666, 85, 118, 715, 333, 14, 154, 718, 464, 157, 675, 699, 868, 523, 759, 731, 687, 165, 187, 807, 518, 587, 239, 302, 372, 641, 529, 625, 546, 597, 264, 296, 281, 558, 152, 837, 562, 806, 287, 62, 169, 30, 481, 746, 74, 262, 352, 838, 891, 630, 668, 274, 354, 759, 822, 17, 488, 144, 869, 758, 227, 517, 265, 298, 150, 269, 238, 786, 239, 875, 231, 220, 449, 754, 872, 15, 557, 417, 494, 555, 346, 133, 807, 310, 8, 722, 632, 306, 109, 722, 502, 679, 878, 111, 252, 763, 689, 63, 545, 52, 805, 127, 255, 479, 194, 777, 22, 834, 787, 172, 775, 554, 42, 674, 358, 730, 497, 497, 388, 293, 620, 713, 697, 515, 354, 223, 552, 318, 229, 436, 528, 600, 395, 463, 250, 176, 420, 258, 675, 302, 240, 430, 219, 650, 608, 176, 212, 537, 264, 487, 394, 325, 553, 657, 611, 231, 641, 402, 532, 257, 48, 472, 530, 493, 98, 438, 692, 519, 264, 167, 655, 214, 336, 436, 871, 797, 454, 516, 312, 544, 423, 395, 33, 98, 134, 876, 46, 619, 245, 326, 215, 308, 653, 648, 794, 708, 89, 150, 2, 608, 374, 817, 508, 23, 889, 785, 408, 87, 617, 201, 802, 458, 286, 246, 299, 671, 53, 443, 453, 707, 232, 327, 211, 836, 1, 276, 575, 128, 691, 348, 424, 526, 878, 101, 850, 160, 137, 402, 763, 782, 145, 719, 396, 635, 48, 728, 139, 540, 242, 159, 431, 874, 638, 486, 52, 270, 640, 49, 551, 724, 341, 882, 108, 780, 207, 93, 718, 111, 349, 435, 135, 821, 789, 498, 146, 525, 307, 397, 256, 598, 99, 550, 269, 539, 189, 640, 359, 632, 813, 732, 829, 406, 360, 799, 745, 273, 40, 816, 592, 522, 13, 176, 599, 238, 66, 412, 224, 112, 258, 371, 74, 795, 682, 738, 885, 354, 234, 808, 696, 861, 308, 386, 748, 119, 279, 726, 230, 65, 40, 389, 851, 190, 764, 771, 461, 114, 734, 129, 375, 306, 883, 763, 370, 445, 362, 295, 152, 820, 289, 333, 687, 631, 798, 253, 179, 4, 870, 72, 646, 838, 554, 839, 340, 647, 347, 221, 749, 485, 663, 31, 685, 62, 696, 229, 309, 406, 313, 795, 606, 381, 578, 16, 635, 491, 311, 155, 589, 170, 68, 642, 538, 728, 711, 451, 213, 102, 721, 357, 323, 224, 300, 336, 164, 422, 47, 165, 785, 257, 501, 843, 48, 795, 543, 376, 174, 4, 536, 44, 478, 36, 71, 309, 629, 530, 183, 290, 737, 349, 848, 769, 367, 467, 484, 699, 435, 416, 636, 547, 329, 359, 108, 772, 5, 604, 500, 888, 819, 794, 473, 775, 873, 543, 827, 338, 310, 73, 375, 777, 345, 203, 516, 881, 660, 714, 364, 331, 150, 223, 237, 842, 158, 504, 454, 860, 202, 583, 504, 71, 177, 263, 503, 169, 424, 55, 272, 779, 542, 372, 427, 403, 561, 394, 891, 50, 828, 603, 557, 253, 358, 507, 588, 330, 843, 185, 860, 670, 849, 382, 860, 159, 798, 84, 61, 517, 587, 559, 314, 873, 279, 261, 507, 259, 204, 221, 427, 296, 271, 328, 719, 363, 87, 345, 242, 698, 748, 716, 565, 254, 250, 228, 869, 758, 63, 426, 808, 567, 274, 344, 361, 491, 441, 420, 655, 538, 542, 549, 840, 669, 168, 658, 516, 886, 16, 789, 281, 390, 249, 451, 94, 529, 786, 621, 855, 24, 80, 585, 611, 399, 622, 85, 222, 260, 100, 365, 33, 195, 404, 77, 664, 755, 8, 782, 440, 866, 531, 319, 599, 861, 194, 695, 78, 106, 156, 62, 204, 593, 771, 672, 511, 98, 567, 67, 839, 377, 434, 138, 850, 563, 543, 186, 123, 470, 463, 699, 414, 572, 107, 576, 733, 669, 878, 433, 548, 196, 222, 330, 448, 209, 9, 132, 814, 416, 230, 464, 327, 780, 270, 267, 342, 182, 539, 820, 148, 574, 559, 0, 871, 598, 355, 670, 472, 452, 479, 766, 512, 158, 571, 126, 291, 630, 828, 252, 480, 602, 352, 643, 762, 468, 171, 212, 55, 266, 750, 423, 881, 109, 756, 59, 190, 656, 175, 280, 754, 384, 564, 776, 56, 397, 813, 371, 105, 147, 222, 645, 643, 169, 416, 654, 429, 447, 114, 196, 194, 324, 93, 309, 25, 761, 185, 374, 418, 212, 75, 244, 31, 693, 472, 658, 84, 821, 634, 599, 16, 360, 658, 624, 65, 778, 12, 639, 639, 229, 15, 116, 405, 708, 117, 289, 756, 863, 747, 92, 660, 727, 153, 786, 429, 139, 590, 140, 665, 183, 547, 806, 628, 262, 549, 304, 83, 811, 363, 539, 661, 443, 69, 120, 841, 192, 171, 608, 83, 728, 66, 202, 730, 225, 628, 518, 555, 854, 183, 768, 817, 193, 317, 810, 220, 276, 85, 751, 414, 22, 393, 285, 408, 341, 479, 147, 720, 61, 468, 693, 837, 243, 297, 843, 230, 280, 743, 857, 769, 295, 600, 335, 465, 262, 866, 350, 740, 58, 535, 756, 457, 149, 142, 198, 597, 11, 92, 276, 488, 143, 342, 434, 79, 282, 600, 510, 736, 688, 794, 518, 563, 103, 45, 515, 287, 187, 779, 668, 365, 867, 6, 104, 134, 25, 671, 286, 653, 607, 89, 155, 886, 513, 432, 596, 437, 660, 773, 383, 367, 109, 442, 32, 803, 507, 752, 233, 294, 577, 562, 804, 104, 611, 646, 621, 804, 663, 833, 766, 420, 121, 665, 200, 542, 257, 549, 740, 36, 451, 347, 64, 382, 375, 735, 95, 591, 625, 368, 571, 412, 776, 698, 662, 662, 146, 275, 297, 592, 167, 532, 638, 717, 445, 791, 327, 540, 705, 545, 201, 134, 175, 54, 567, 70, 130, 267, 502, 623, 772, 631, 92, 590, 622, 338, 181, 60, 401, 422, 381, 162, 160, 110, 603, 104, 724, 336, 115, 84, 372, 632, 59, 5, 576, 90, 547, 397, 445, 188, 72, 357, 835, 768, 711, 118, 585, 822, 483, 747, 33, 337, 492, 562, 882, 835, 202, 393, 859, 700, 854, 67, 522, 635, 467, 476, 647, 367, 28, 730, 738, 23, 604, 474, 595, 249, 682, 587, 307, 561, 32, 619, 413, 564, 414, 341, 326, 441, 430, 519, 831, 681, 868, 188, 137, 102, 193, 460, 638, 871, 378, 783, 321, 434, 806, 268, 110, 732, 405, 303, 125, 271, 783, 484, 411, 73, 655, 480, 94, 674, 779, 428, 7, 105, 769, 273, 197, 494, 244}

    {691, 865, 553, 123, 386, 184, 790, 305, 3, 19, 460, 590, 622, 624, 390, 209, 132, 504, 471, 88, 317, 17, 559, 618, 407, 483, 81, 509, 75, 428, 753, 501, 845, 448, 398, 174, 484, 714, 511, 558, 606, 334, 96, 533, 788, 862, 857, 46, 421, 292, 831, 91, 353, 345, 784, 620, 419, 497, 536, 243, 305, 770, 437, 705, 533, 633, 661, 268, 403, 382, 127, 217, 841, 508, 615, 427, 447, 723, 747, 280, 218, 191, 462, 692, 604, 816, 442, 449, 328, 583, 68, 475, 767, 421, 743, 295, 626, 259, 707, 560, 790, 120, 66, 718, 851, 584, 873, 312, 733, 88, 145, 520, 221, 77, 400, 862, 652, 283, 113, 541, 149, 47, 802, 100, 247, 426, 353, 415, 499, 558, 288, 285, 14, 116, 534, 53, 847, 408, 701, 742, 473, 444, 136, 809, 293, 818, 583, 319, 0, 53, 789, 446, 361, 659, 707, 31, 171, 455, 278, 404, 612, 498, 38, 456, 124, 727, 844, 684, 875, 673, 511, 407, 131, 192, 236, 739, 42, 702, 433, 384, 131, 99, 23, 636, 275, 446, 680, 821, 228, 343, 27, 291, 649, 481, 449, 448, 510, 637, 819, 235, 54, 596, 628, 387, 435, 35, 809, 373, 356, 439, 874, 593, 764, 464, 712, 588, 266, 706, 832, 411, 680, 337, 565, 514, 312, 544, 742, 314, 366, 615, 431, 720, 694, 523, 199, 380, 823, 572, 334, 91, 771, 634, 218, 174, 42, 793, 213, 379, 489, 211, 78, 667, 320, 861, 834, 666, 141, 348, 260, 113, 299, 637, 609, 5, 440, 721, 128, 605, 867, 573, 713, 235, 317, 667, 277, 22, 79, 606, 607, 76, 200, 574, 409, 394, 603, 418, 674, 725, 216, 335, 329, 552, 836, 114, 715, 197, 46, 781, 662, 75, 8, 249, 811, 703, 654, 128, 182, 417, 882, 651, 465, 744, 746, 824, 294, 145, 466, 883, 410, 240, 166, 417, 6, 236, 784, 217, 379, 723, 234, 673, 710, 506, 800, 21, 823, 129, 805, 110, 546, 254, 832, 490, 455, 612, 774, 377, 340, 757, 601, 483, 3, 350, 488, 770, 704, 387, 308, 369, 51, 694, 679, 306, 697, 659, 57, 107, 513, 741, 673, 721, 251, 494, 133, 740, 40, 785, 187, 251, 556, 21, 321, 579, 695, 462, 865, 191, 364, 490, 532, 10, 399, 584, 584, 462, 734, 690, 301, 524, 220, 390, 37, 177, 349, 270, 29, 738, 207, 117, 43, 10, 355, 396, 322, 265, 89, 767, 698, 729, 21, 877, 129, 578, 97, 477, 831, 216, 290, 725, 379, 226, 412, 678, 743, 793, 302, 850, 385, 19, 750, 815, 659, 166, 7, 685, 319, 858, 758, 259, 487, 223, 694, 173, 444, 726, 578, 67, 72, 717, 741, 467, 247, 4, 734, 490, 203, 195, 495, 138, 35, 439, 815, 840, 682, 615, 819, 164, 482, 277, 684, 392, 166, 152, 316, 678, 529, 26, 568, 627, 830, 422, 192, 77, 761, 627, 215, 566, 180, 117, 97, 419, 398, 764, 713, 683, 853, 512, 311, 105, 775, 523, 625, 556, 398, 856, 521, 90, 49, 809, 485, 866, 19, 240, 27, 791, 801, 879, 876, 773, 56, 739, 60, 887, 476, 411, 410, 168, 127, 582, 173, 746, 271, 371, 458, 847, 9, 714, 877, 63, 147, 74, 304, 51, 571, 849, 380, 796, 812, 827, 238, 86, 206, 575, 303, 875, 649, 535, 863, 568, 614, 858, 880, 189, 324, 834, 43, 521, 857, 708, 476, 241, 585, 313, 634, 576, 351, 124, 278, 210, 125, 553, 677, 246, 805, 617, 796, 410, 34, 60, 459, 830, 406, 383, 342, 198, 855, 207, 392, 826, 326, 502, 816, 132, 782, 677, 57, 41, 560, 173, 273, 828, 119, 710, 401, 723, 889, 136, 744, 528, 803, 214, 765, 623, 365, 853, 315, 272, 56, 38, 633, 180, 887, 681, 441, 537, 453, 180, 20, 261, 601, 568, 415, 626, 231, 263, 477, 745, 13, 88, 34, 380, 34, 138, 853, 731, 112, 664, 226, 76, 581, 20, 27, 868, 706, 864, 52, 792, 181, 839, 482, 260, 753, 614, 722, 715, 799, 569, 432, 316, 103, 197, 450, 389, 182, 323, 610, 879, 672, 867, 613, 792, 811, 298, 389, 688, 115, 593, 122, 100, 676, 644, 724, 801, 506, 614, 566, 759, 651, 880, 347, 586, 641, 534, 514, 323, 720, 304, 704, 344, 332, 283, 186, 727, 840, 188, 648, 79, 11, 577, 563, 82, 827, 143, 737, 199, 470, 637, 227, 881, 788, 702, 203, 151, 156, 537, 82, 452, 496, 376, 225, 876, 30, 370, 293, 402, 277, 888, 676, 500, 487, 522, 705, 18, 278, 148, 69, 206, 237, 50, 248, 409, 528, 618, 233, 489, 69, 774, 817, 122, 368, 592, 858, 343, 810, 842, 888, 161, 18, 709, 787, 26, 141, 64, 820, 690, 813, 112, 90, 263, 454, 613, 142, 672, 245, 829, 703, 193, 378, 825, 573, 24, 332, 413, 111, 770, 163, 496, 561, 123, 333, 564, 745, 125, 130, 442, 45, 887, 218, 478, 232, 37, 825, 351, 126, 702, 865, 339, 252, 859, 700, 179, 362, 205, 774, 256, 373, 101, 524, 589, 124, 378, 172, 826, 359, 7, 234, 845, 644, 149, 143, 616, 890, 82, 396, 889, 709, 76, 32, 618, 421, 28, 70, 368, 801, 642, 541, 823, 647, 679, 387, 155, 701, 649, 290, 405, 474, 890, 586, 767, 703, 526, 616, 877, 792, 579, 657, 135, 800, 83, 790, 586, 862, 208, 68, 466, 589, 810, 447, 536, 851, 709, 200, 38, 146, 366, 369, 351, 633, 339, 383, 588, 386, 239, 3, 824, 613, 569, 826, 334, 358, 814, 168, 311, 18, 555, 607, 742, 356, 808, 12, 596, 525, 651, 298, 689, 450, 374, 87, 243, 814, 300, 388, 228, 209, 515, 505, 353, 343, 245, 251, 818, 50, 329, 619, 527, 2, 835, 761, 458, 591, 122, 726, 35, 631, 812, 99, 595, 456, 208, 9, 735, 776, 577, 303, 498, 556, 328, 548, 17, 545, 241, 508, 12, 594, 509, 399, 196, 663, 310, 812, 429, 233, 729, 282, 385, 885, 213, 837, 39, 760, 788, 195, 64, 870, 71, 803, 181, 428, 829, 800, 501, 133, 736, 285, 268, 626, 527, 480, 93, 612, 784, 91, 237, 846, 546, 301, 331, 890, 646, 440, 318, 754, 565, 450, 551, 661, 163, 594, 557, 712, 581, 711, 325, 744, 318, 475, 284, 729, 419, 266, 601, 115, 216, 284, 554, 573, 845, 294, 340, 778, 407, 733, 393, 535, 366, 783, 531, 538, 848, 581, 492, 548, 700, 227, 175, 151, 781, 686, 255, 339, 841, 289, 141, 621, 97, 540, 550, 438, 560, 332, 144, 388, 710, 526, 461, 120, 189, 863, 400, 610, 885, 283, 256, 849, 418, 486, 119, 685, 14, 443, 838, 676, 395, 664, 272, 274, 833, 469, 61, 201, 466, 70, 470, 844, 423, 184, 690, 825, 30, 131, 630, 822, 198, 469, 815, 701, 797, 58, 316, 346, 391, 204, 864, 106, 137, 232, 59, 736, 178, 456, 118, 891, 265, 255, 43, 225, 288, 652, 471, 636, 609, 247, 844, 248, 172, 51, 433, 44, 364, 640, 370, 753, 478, 544, 452, 627, 292, 385, 499, 492, 735, 335, 300, 362, 158, 281, 856, 205, 206, 29, 680, 755, 605, 793, 524, 404, 320, 692, 369, 226, 623, 459, 696, 121, 356, 854, 437, 178, 37, 135, 883, 572, 848, 344, 236, 842, 241, 686, 824, 737, 667, 569, 574, 489, 642, 580, 765, 741, 514, 525, 299, 157, 465, 757, 610, 474, 346, 45, 712, 683, 41, 348, 20, 780, 436, 151, 749, 629, 505, 762, 530, 533, 797, 832, 704, 739, 438, 791, 10, 485, 377, 683, 313, 475, 830, 39, 315, 301, 80, 314, 550, 477, 28, 217, 766, 425, 750, 570, 424, 54, 57, 235, 244, 513, 657, 653, 439, 852, 656, 65, 757, 760, 107, 126, 768, 415, 706, 751, 0, 597, 570, 330, 499, 595, 284, 161, 582, 652, 787, 384, 836, 44, 847, 725, 165, 39, 879, 86, 686}

    Returns: {0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0 }

  60. 964

    {315, 825, 401, 181, 316, 556, 505, 951, 659, 96, 816, 552, 746, 790, 739, 64, 175, 483, 7, 958, 348, 576, 192, 207, 12, 178, 852, 725, 868, 334, 79, 944, 633, 721, 117, 667, 766, 444, 99, 843, 437, 414, 148, 277, 881, 730, 893, 759, 909, 837, 333, 924, 953, 254, 105, 517, 321, 824, 308, 756, 907, 384, 901, 685, 223, 173, 370, 490, 947, 651, 309, 441, 490, 150, 306, 525, 427, 399, 747, 153, 373, 776, 302, 769, 723, 417, 416, 53, 451, 92, 585, 817, 453, 448, 2, 559, 279, 130, 459, 111, 737, 140, 222, 367, 287, 632, 510, 242, 113, 673, 733, 743, 665, 361, 798, 452, 758, 804, 13, 692, 311, 335, 228, 927, 140, 563, 666, 495, 194, 686, 903, 333, 524, 8, 906, 326, 527, 815, 922, 739, 155, 382, 742, 799, 317, 913, 801, 741, 622, 276, 518, 57, 606, 271, 432, 913, 347, 886, 519, 568, 71, 396, 677, 675, 199, 941, 203, 348, 732, 790, 947, 935, 676, 616, 415, 311, 220, 768, 722, 818, 955, 765, 602, 210, 208, 760, 382, 247, 328, 531, 232, 20, 682, 493, 938, 794, 938, 703, 609, 331, 432, 684, 883, 9, 806, 268, 434, 118, 382, 459, 690, 553, 822, 644, 224, 114, 517, 23, 922, 31, 378, 733, 298, 243, 17, 28, 928, 770, 865, 625, 600, 30, 403, 291, 110, 730, 325, 831, 438, 699, 948, 939, 513, 597, 714, 801, 196, 712, 13, 369, 629, 575, 62, 929, 109, 586, 440, 658, 591, 231, 955, 599, 196, 838, 667, 845, 634, 754, 245, 450, 238, 559, 315, 671, 352, 722, 786, 202, 626, 574, 751, 322, 684, 593, 484, 799, 59, 78, 413, 810, 702, 198, 688, 533, 676, 933, 154, 847, 467, 862, 346, 811, 716, 505, 11, 253, 440, 256, 683, 440, 610, 902, 510, 97, 359, 412, 2, 628, 349, 482, 852, 582, 561, 83, 625, 919, 865, 514, 326, 422, 255, 406, 735, 412, 791, 485, 924, 806, 364, 743, 411, 264, 414, 380, 522, 668, 747, 767, 598, 891, 278, 430, 554, 357, 293, 335, 4, 713, 161, 84, 937, 802, 884, 408, 858, 871, 400, 945, 298, 701, 233, 824, 805, 160, 900, 282, 465, 395, 258, 357, 304, 797, 375, 314, 769, 290, 398, 844, 154, 767, 789, 353, 238, 319, 166, 532, 586, 656, 737, 963, 181, 18, 95, 242, 864, 182, 105, 483, 334, 496, 327, 671, 630, 320, 429, 711, 286, 931, 634, 211, 379, 73, 257, 329, 564, 300, 393, 106, 538, 221, 94, 473, 853, 955, 842, 763, 668, 422, 890, 917, 238, 903, 23, 235, 267, 142, 229, 360, 447, 249, 560, 916, 732, 79, 522, 407, 256, 74, 649, 345, 65, 503, 257, 442, 409, 565, 17, 948, 544, 673, 472, 923, 93, 401, 542, 68, 737, 761, 858, 914, 65, 573, 930, 331, 255, 847, 620, 609, 420, 338, 843, 897, 720, 170, 173, 341, 236, 273, 372, 22, 406, 847, 541, 374, 817, 274, 959, 899, 729, 55, 296, 339, 113, 545, 961, 561, 396, 937, 821, 319, 110, 214, 281, 610, 97, 260, 108, 328, 163, 589, 652, 11, 51, 62, 67, 652, 228, 771, 845, 462, 341, 433, 459, 367, 621, 613, 694, 645, 62, 606, 548, 610, 438, 605, 181, 124, 606, 221, 30, 258, 485, 812, 590, 739, 203, 945, 114, 78, 16, 19, 196, 441, 508, 183, 88, 85, 808, 418, 571, 613, 480, 783, 251, 175, 866, 207, 205, 293, 323, 873, 581, 673, 583, 620, 801, 517, 934, 508, 188, 296, 412, 664, 389, 916, 763, 762, 954, 798, 602, 166, 233, 61, 533, 684, 946, 738, 16, 426, 451, 27, 39, 291, 302, 182, 605, 264, 560, 367, 212, 600, 632, 866, 22, 95, 390, 198, 568, 236, 794, 755, 523, 446, 379, 717, 353, 235, 656, 32, 295, 450, 247, 712, 536, 146, 157, 95, 924, 366, 560, 933, 166, 935, 475, 366, 497, 54, 329, 527, 68, 529, 803, 339, 165, 263, 773, 539, 705, 150, 50, 855, 595, 824, 943, 905, 312, 656, 416, 360, 256, 692, 128, 299, 169, 677, 448, 693, 470, 912, 780, 479, 26, 289, 83, 12, 540, 588, 423, 597, 838, 167, 905, 526, 325, 694, 555, 290, 627, 877, 554, 663, 683, 498, 447, 923, 144, 915, 231, 534, 237, 400, 435, 172, 718, 949, 845, 102, 88, 281, 894, 466, 199, 536, 884, 15, 735, 834, 122, 487, 473, 138, 189, 120, 126, 501, 77, 638, 301, 446, 197, 764, 36, 830, 442, 489, 335, 646, 832, 434, 385, 862, 274, 136, 427, 135, 710, 726, 258, 682, 409, 15, 742, 690, 643, 120, 886, 575, 550, 500, 745, 263, 942, 64, 267, 611, 353, 132, 310, 316, 97, 325, 719, 492, 519, 735, 348, 825, 421, 939, 300, 349, 778, 288, 152, 800, 442, 271, 177, 571, 942, 659, 935, 143, 709, 617, 789, 48, 660, 116, 178, 212, 751, 180, 420, 659, 255, 702, 917, 105, 478, 295, 784, 362, 470, 43, 666, 648, 460, 435, 98, 663, 636, 186, 875, 131, 489, 657, 761, 54, 868, 680, 574, 272, 781, 795, 371, 21, 220, 375, 927, 851, 615, 631, 252, 509, 562, 645, 567, 352, 19, 937, 584, 911, 147, 391, 779, 814, 259, 907, 22, 319, 141, 193, 755, 549, 33, 292, 427, 200, 106, 814, 213, 338, 165, 234, 317, 397, 366, 371, 598, 79, 530, 209, 736, 616, 827, 680, 3, 175, 956, 807, 363, 133, 899, 811, 842, 307, 821, 707, 671, 532, 224, 558, 841, 473, 807, 841, 63, 146, 411, 441, 107, 130, 951, 626, 455, 149, 764, 174, 177, 536, 751, 330, 833, 698, 787, 811, 781, 25, 918, 951, 377, 621, 819, 486, 267, 285, 949, 857, 5, 620, 704, 214, 758, 784, 297, 603, 514, 34, 806, 461, 869, 37, 873, 122, 653, 548, 78, 86, 553, 210, 29, 767, 0, 322, 351, 835, 774, 597, 748, 297, 748, 660, 494, 478, 667, 26, 876, 558, 32, 425, 352, 32, 38, 919, 851, 60, 668, 469, 55, 347, 876, 885, 438, 294, 674, 758, 637, 307, 791, 802, 464, 922, 369, 871, 329, 58, 894, 822, 953, 477, 396, 674, 905, 365, 291, 654, 28, 521, 337, 480, 888, 123, 711, 230, 402, 493, 717, 387, 843, 457, 755, 317, 545, 868, 377, 394, 501, 262, 214, 466, 402, 883, 636, 544, 693, 84, 56, 460, 57, 888, 496, 678, 51, 569, 448, 476, 279, 477, 10, 913, 633, 59, 580, 962, 426, 302, 310, 917, 253, 835, 815, 397, 81, 642, 380, 99, 336, 85, 507, 227, 118, 715, 125, 225, 487, 635, 108, 558, 651, 272, 799, 93, 0, 323, 718, 471, 216, 520, 407, 93, 502, 670, 586, 585, 397, 881, 456, 81, 71, 744, 464, 8, 83, 354, 213, 169, 264, 855, 350, 877, 820, 395, 61, 741, 405, 663, 829, 286, 960, 364, 704, 357, 632, 533, 498, 477, 772, 715, 727, 4, 251, 135, 5, 160, 350, 450, 368, 211, 408, 184, 368, 545, 664, 646, 444, 72, 176, 930, 708, 605, 222, 519, 38, 75, 628, 432, 830, 614, 345, 29, 539, 925, 738, 693, 628, 243, 468, 402, 809, 112, 252, 723, 168, 860, 710, 211, 714, 48, 72, 358, 64, 778, 681, 408, 814, 744, 616, 305, 208, 282, 757, 418, 728, 165, 33, 923, 773, 434, 312, 867, 273, 940, 798, 205, 629, 395, 180, 358, 546, 205, 707, 152, 920, 860, 542, 948, 40, 418, 147, 49, 601, 437, 44, 192, 13, 553, 775, 804, 447, 202, 102, 855, 300, 474, 501, 828, 765, 794, 893, 547, 884, 502, 869, 612, 363, 714, 480, 713, 192, 266, 726, 846, 818, 225, 351, 94, 121, 745, 456, 875, 720, 383, 623, 216, 770, 927, 9, 865, 46, 297, 602, 147, 953, 543, 282, 135, 528, 306, 299, 20, 332, 742, 110, 423, 18, 526, 708, 642, 821, 234, 261, 386, 405, 803, 551, 629, 680, 491, 789, 378, 881, 108, 499, 661, 416, 515, 476, 669, 643, 815, 521, 216, 288, 278, 577, 604, 446, 453, 346, 928, 637, 585, 101, 850, 399, 125, 260, 547, 908, 279, 856, 703, 666, 206, 730, 195, 48, 893, 638, 689, 188, 251, 350, 508, 647, 229, 451, 618, 601, 711, 729, 718, 570, 194, 260, 354, 786, 678, 106, 220, 543, 587, 6, 782, 358, 392, 46, 369, 59, 931, 167, 925, 562, 24, 342, 26, 159, 809, 600, 544, 513, 677, 314, 564, 886, 487, 229, 306, 455, 250, 550, 816, 819, 934, 918, 901, 163, 812, 168, 230, 962, 916, 675, 91, 961, 499}

    {546, 86, 285, 120, 368, 145, 679, 253, 272, 792, 103, 283, 226, 313, 129, 614, 936, 21, 421, 679, 944, 241, 901, 909, 520, 188, 590, 695, 738, 44, 641, 139, 344, 731, 201, 141, 372, 386, 453, 786, 624, 171, 171, 621, 853, 194, 415, 537, 638, 125, 943, 698, 557, 617, 797, 852, 129, 67, 910, 854, 657, 399, 80, 773, 445, 445, 89, 31, 60, 717, 838, 75, 271, 810, 417, 244, 939, 914, 433, 364, 695, 29, 307, 215, 116, 926, 750, 324, 747, 137, 521, 478, 116, 908, 641, 150, 532, 942, 956, 349, 706, 66, 575, 809, 662, 443, 398, 383, 276, 365, 920, 507, 516, 957, 176, 595, 237, 158, 177, 392, 115, 460, 45, 752, 911, 98, 63, 136, 594, 431, 155, 853, 654, 854, 952, 436, 458, 199, 705, 891, 171, 403, 833, 81, 198, 476, 61, 389, 833, 484, 566, 535, 804, 428, 531, 900, 158, 87, 877, 151, 908, 313, 510, 619, 96, 793, 456, 461, 776, 458, 687, 385, 709, 482, 45, 443, 248, 72, 185, 793, 740, 525, 157, 321, 639, 650, 498, 452, 921, 749, 240, 497, 101, 582, 330, 33, 197, 277, 612, 468, 455, 691, 581, 530, 651, 467, 961, 270, 14, 719, 599, 601, 310, 848, 750, 655, 10, 775, 535, 569, 179, 133, 262, 318, 661, 137, 36, 436, 322, 184, 537, 622, 14, 802, 227, 394, 685, 111, 635, 280, 490, 305, 230, 292, 35, 36, 515, 665, 756, 249, 888, 301, 591, 854, 52, 420, 788, 863, 672, 92, 411, 830, 4, 670, 227, 261, 783, 380, 840, 958, 563, 904, 439, 708, 940, 619, 640, 832, 360, 239, 669, 191, 31, 641, 217, 124, 898, 547, 400, 904, 458, 844, 170, 233, 35, 520, 697, 0, 406, 617, 197, 259, 882, 213, 752, 126, 523, 228, 860, 409, 469, 187, 215, 518, 897, 681, 593, 646, 768, 190, 340, 431, 880, 766, 779, 522, 836, 795, 526, 672, 787, 132, 23, 209, 887, 910, 492, 915, 619, 151, 143, 293, 333, 879, 144, 820, 82, 294, 24, 709, 503, 796, 890, 375, 580, 728, 189, 705, 592, 294, 567, 381, 189, 518, 337, 879, 895, 292, 347, 283, 849, 69, 511, 676, 596, 499, 138, 485, 699, 356, 700, 100, 529, 309, 595, 219, 156, 872, 797, 314, 582, 330, 643, 555, 185, 454, 266, 489, 564, 572, 28, 551, 683, 565, 696, 249, 697, 89, 394, 324, 774, 232, 734, 785, 270, 491, 898, 277, 428, 182, 263, 655, 578, 803, 862, 435, 879, 530, 566, 549, 892, 765, 874, 143, 921, 772, 107, 591, 464, 603, 650, 874, 692, 762, 661, 355, 524, 897, 720, 808, 912, 647, 161, 593, 39, 390, 45, 662, 938, 604, 218, 870, 384, 122, 828, 246, 168, 428, 630, 931, 777, 760, 584, 734, 384, 823, 126, 511, 796, 542, 34, 56, 413, 370, 100, 336, 653, 328, 776, 563, 76, 145, 889, 502, 686, 631, 346, 611, 512, 53, 268, 823, 734, 889, 131, 754, 861, 837, 280, 829, 625, 219, 764, 930, 21, 157, 790, 513, 290, 173, 437, 689, 538, 128, 538, 55, 835, 195, 155, 849, 963, 109, 481, 672, 69, 572, 104, 82, 573, 137, 796, 190, 645, 142, 800, 896, 391, 312, 422, 696, 57, 615, 234, 810, 462, 244, 262, 839, 890, 867, 715, 284, 598, 210, 275, 746, 54, 658, 540, 421, 876, 774, 941, 90, 788, 280, 343, 952, 303, 647, 391, 691, 514, 791, 694, 303, 138, 549, 5, 91, 839, 800, 748, 805, 172, 24, 25, 818, 657, 724, 588, 623, 895, 896, 494, 9, 318, 114, 112, 834, 37, 607, 599, 634, 882, 362, 425, 573, 771, 781, 204, 40, 929, 423, 123, 221, 92, 494, 528, 577, 486, 376, 496, 74, 240, 872, 743, 70, 580, 429, 1, 572, 431, 915, 649, 439, 383, 144, 69, 505, 769, 570, 140, 172, 12, 287, 674, 289, 807, 880, 722, 609, 839, 159, 376, 176, 404, 702, 336, 604, 813, 466, 869, 555, 507, 187, 848, 123, 404, 574, 156, 295, 874, 1, 719, 565, 224, 248, 415, 932, 38, 237, 929, 452, 509, 500, 583, 504, 419, 836, 817, 284, 68, 112, 269, 449, 164, 288, 488, 689, 828, 436, 43, 374, 445, 449, 376, 265, 753, 636, 662, 14, 20, 47, 204, 777, 462, 587, 608, 121, 495, 607, 378, 46, 56, 132, 471, 327, 523, 846, 792, 911, 361, 51, 932, 185, 320, 962, 778, 723, 187, 912, 463, 247, 936, 303, 82, 652, 236, 484, 687, 589, 320, 242, 829, 388, 925, 483, 557, 706, 393, 404, 826, 562, 361, 506, 85, 524, 88, 577, 954, 849, 47, 757, 469, 771, 179, 201, 837, 223, 500, 388, 52, 316, 479, 225, 959, 104, 566, 387, 42, 410, 75, 305, 949, 699, 76, 932, 50, 831, 269, 226, 71, 703, 785, 569, 576, 926, 117, 162, 921, 740, 129, 463, 379, 341, 250, 99, 191, 164, 186, 631, 592, 529, 154, 101, 257, 371, 725, 67, 736, 470, 579, 685, 959, 274, 934, 637, 650, 665, 516, 344, 952, 725, 246, 178, 653, 304, 583, 148, 960, 174, 6, 355, 787, 731, 556, 345, 109, 587, 128, 858, 736, 878, 285, 42, 90, 146, 640, 183, 275, 66, 648, 889, 724, 618, 506, 681, 324, 493, 899, 696, 118, 127, 883, 226, 775, 52, 315, 848, 885, 351, 304, 7, 844, 149, 812, 18, 340, 2, 439, 907, 761, 301, 275, 943, 579, 534, 42, 504, 608, 859, 857, 660, 385, 241, 588, 590, 716, 373, 342, 278, 149, 425, 231, 950, 861, 60, 740, 327, 820, 201, 254, 359, 850, 950, 388, 162, 457, 66, 633, 649, 30, 410, 551, 856, 153, 218, 669, 463, 482, 41, 698, 443, 11, 419, 139, 141, 630, 784, 240, 481, 363, 511, 318, 578, 142, 119, 472, 139, 700, 690, 73, 785, 252, 618, 863, 729, 945, 35, 266, 670, 744, 836, 47, 716, 281, 552, 3, 243, 362, 506, 892, 454, 857, 373, 957, 133, 919, 269, 947, 39, 615, 204, 887, 607, 245, 87, 34, 193, 902, 679, 640, 488, 410, 206, 813, 169, 77, 40, 554, 548, 212, 754, 495, 870, 788, 861, 842, 158, 261, 819, 894, 41, 381, 682, 757, 870, 180, 497, 248, 904, 688, 183, 245, 686, 472, 898, 7, 241, 270, 872, 389, 3, 433, 594, 398, 193, 15, 219, 840, 475, 712, 780, 130, 309, 426, 119, 644, 556, 53, 859, 759, 691, 152, 596, 695, 864, 340, 596, 918, 286, 127, 534, 909, 457, 63, 914, 706, 946, 792, 841, 16, 941, 648, 134, 512, 86, 568, 624, 429, 727, 745, 102, 887, 76, 704, 678, 777, 356, 540, 203, 766, 419, 749, 1, 474, 561, 232, 827, 688, 84, 161, 58, 950, 903, 584, 244, 509, 372, 753, 576, 512, 259, 958, 756, 475, 239, 296, 639, 273, 308, 928, 413, 159, 570, 119, 424, 239, 675, 946, 174, 311, 589, 403, 298, 892, 308, 910, 902, 94, 401, 541, 891, 779, 885, 104, 528, 6, 724, 611, 121, 793, 614, 782, 208, 700, 895, 407, 559, 190, 265, 832, 265, 217, 179, 37, 217, 356, 592, 710, 202, 579, 117, 276, 151, 89, 770, 763, 880, 805, 465, 200, 74, 515, 164, 160, 430, 639, 111, 113, 525, 209, 27, 713, 823, 222, 826, 768, 370, 504, 875, 218, 873, 127, 338, 43, 468, 956, 825, 107, 687, 91, 465, 359, 727, 430, 831, 235, 834, 10, 878, 859, 287, 603, 783, 381, 906, 871, 749, 283, 134, 594, 491, 8, 701, 392, 864, 374, 115, 103, 960, 813, 444, 215, 471, 124, 581, 467, 658, 539, 846, 73, 195, 299, 321, 866, 535, 80, 732, 856, 339, 332, 103, 98, 795, 741, 424, 827, 753, 627, 246, 642, 386, 840, 17, 546, 479, 944, 954, 933, 393, 612, 552, 721, 541, 343, 926, 206, 627, 664, 622, 624, 808, 697, 782, 882, 332, 449, 19, 313, 474, 289, 50, 100, 145, 414, 80, 223, 531, 163, 390, 331, 200, 342, 957, 900, 344, 760, 96, 733, 417, 543, 58, 759, 162, 963, 134, 70, 940, 136, 920, 527, 49, 578, 424, 25, 863, 878, 131, 354, 365, 822, 608, 44, 557, 337, 268, 207, 537, 191, 772, 184, 623, 896, 486, 377, 644, 746, 170, 867, 850, 516, 334, 65, 250, 635, 503, 762, 626, 701, 936, 27, 326, 906, 826, 461, 343, 387, 41, 481, 115, 780, 707, 750, 454, 284, 355, 167, 323, 90, 156, 488, 254, 816, 77, 654, 571, 550, 726, 49, 87, 492, 728, 186, 70, 148, 405, 752, 567, 851, 613, 153, 655, 721, 731}

    Returns: {1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0 }

  61. 964

    {96, 279, 882, 836, 114, 704, 139, 286, 557, 561, 612, 143, 487, 453, 408, 152, 819, 432, 498, 652, 179, 761, 697, 416, 687, 434, 522, 6, 304, 582, 448, 932, 534, 379, 424, 848, 218, 564, 888, 551, 116, 224, 909, 64, 393, 464, 340, 646, 252, 101, 397, 848, 379, 232, 93, 29, 884, 321, 554, 167, 328, 625, 476, 876, 137, 825, 713, 703, 10, 85, 40, 468, 317, 830, 193, 331, 173, 179, 880, 37, 592, 771, 558, 783, 274, 830, 38, 500, 259, 104, 378, 411, 330, 479, 135, 365, 292, 944, 508, 628, 708, 111, 468, 6, 863, 723, 509, 958, 333, 705, 192, 13, 357, 156, 732, 610, 323, 722, 625, 920, 20, 84, 334, 727, 382, 79, 662, 121, 190, 247, 792, 160, 773, 92, 690, 959, 747, 892, 858, 144, 24, 493, 123, 599, 332, 924, 224, 716, 23, 859, 279, 728, 513, 394, 627, 800, 746, 555, 405, 923, 838, 742, 961, 840, 945, 132, 936, 836, 881, 337, 537, 292, 486, 676, 8, 79, 223, 899, 393, 289, 485, 696, 838, 492, 387, 910, 650, 309, 159, 760, 680, 317, 872, 309, 480, 492, 748, 711, 933, 427, 355, 276, 637, 356, 425, 153, 674, 149, 406, 473, 835, 470, 238, 583, 581, 437, 370, 339, 307, 900, 474, 344, 57, 927, 655, 389, 643, 296, 331, 430, 422, 568, 0, 9, 939, 551, 19, 169, 788, 359, 520, 270, 530, 93, 250, 309, 178, 75, 20, 813, 896, 120, 887, 311, 738, 929, 779, 644, 607, 832, 539, 437, 466, 250, 535, 301, 923, 214, 657, 353, 18, 86, 874, 275, 148, 908, 946, 616, 110, 371, 740, 292, 889, 703, 917, 688, 85, 402, 3, 3, 621, 453, 47, 310, 845, 477, 265, 514, 711, 726, 857, 39, 190, 293, 963, 784, 679, 444, 943, 895, 855, 702, 946, 808, 801, 386, 235, 217, 375, 910, 294, 249, 685, 753, 799, 243, 951, 522, 740, 476, 405, 763, 566, 749, 367, 241, 902, 327, 406, 665, 125, 2, 639, 672, 530, 167, 485, 642, 301, 199, 728, 525, 784, 457, 443, 16, 576, 251, 617, 61, 727, 938, 463, 71, 163, 732, 538, 723, 706, 87, 5, 530, 863, 277, 787, 512, 155, 338, 887, 737, 145, 622, 64, 296, 634, 793, 708, 712, 290, 796, 940, 41, 173, 237, 615, 373, 329, 452, 352, 642, 321, 810, 259, 552, 772, 691, 653, 295, 215, 656, 898, 615, 584, 266, 291, 769, 303, 608, 248, 803, 889, 285, 434, 119, 908, 746, 824, 124, 186, 394, 770, 162, 6, 716, 482, 645, 46, 618, 632, 448, 780, 658, 375, 587, 182, 754, 417, 569, 736, 830, 144, 76, 78, 384, 933, 34, 464, 697, 195, 756, 236, 772, 267, 318, 529, 445, 368, 524, 129, 157, 703, 640, 189, 410, 504, 42, 866, 395, 699, 912, 574, 439, 158, 568, 638, 806, 205, 118, 593, 555, 354, 389, 738, 222, 819, 505, 462, 222, 661, 750, 28, 377, 769, 636, 784, 795, 918, 423, 859, 809, 16, 908, 650, 681, 47, 936, 705, 932, 577, 555, 30, 532, 231, 536, 700, 521, 122, 736, 36, 472, 152, 260, 105, 511, 449, 33, 912, 816, 437, 510, 116, 862, 779, 299, 627, 829, 605, 749, 30, 284, 940, 556, 921, 362, 369, 371, 59, 648, 926, 537, 786, 380, 917, 36, 50, 184, 959, 301, 239, 144, 651, 176, 38, 603, 813, 566, 796, 717, 187, 129, 943, 256, 177, 383, 395, 150, 699, 272, 949, 274, 321, 404, 90, 318, 227, 788, 94, 313, 357, 128, 336, 600, 796, 763, 219, 487, 843, 337, 267, 901, 894, 669, 939, 89, 83, 357, 172, 70, 782, 499, 704, 106, 837, 166, 251, 480, 151, 302, 478, 792, 322, 509, 161, 664, 834, 465, 78, 452, 45, 184, 231, 149, 171, 47, 95, 133, 128, 219, 374, 583, 224, 237, 632, 886, 90, 533, 290, 883, 257, 168, 202, 449, 220, 590, 456, 430, 567, 656, 678, 364, 791, 351, 34, 951, 511, 500, 405, 605, 755, 704, 139, 687, 622, 940, 702, 628, 266, 742, 297, 368, 383, 58, 91, 284, 2, 108, 370, 53, 17, 29, 872, 95, 520, 332, 209, 670, 344, 777, 900, 72, 185, 835, 621, 806, 548, 548, 955, 595, 890, 798, 409, 678, 801, 304, 648, 543, 943, 439, 649, 864, 952, 877, 558, 22, 903, 422, 463, 624, 51, 445, 532, 61, 679, 409, 477, 780, 791, 726, 814, 400, 569, 377, 831, 264, 495, 904, 626, 447, 827, 170, 764, 944, 654, 888, 812, 871, 278, 151, 540, 248, 648, 823, 232, 788, 535, 347, 574, 806, 634, 618, 314, 892, 738, 671, 911, 614, 941, 230, 926, 628, 780, 692, 650, 345, 180, 834, 942, 865, 186, 832, 672, 632, 13, 826, 331, 95, 878, 864, 777, 238, 742, 925, 825, 69, 849, 284, 899, 773, 715, 634, 570, 458, 712, 677, 112, 644, 619, 250, 345, 767, 239, 811, 709, 383, 276, 283, 281, 708, 88, 580, 668, 956, 855, 710, 418, 282, 196, 154, 180, 515, 360, 953, 143, 297, 369, 429, 745, 271, 164, 562, 586, 827, 534, 416, 736, 124, 330, 949, 611, 730, 325, 557, 122, 666, 38, 402, 567, 324, 903, 401, 200, 426, 369, 388, 903, 283, 130, 338, 813, 857, 311, 599, 379, 68, 501, 942, 495, 418, 686, 875, 584, 957, 396, 572, 906, 939, 23, 343, 248, 911, 886, 885, 914, 872, 373, 275, 641, 951, 563, 121, 162, 123, 654, 422, 148, 465, 76, 671, 707, 218, 559, 303, 120, 701, 724, 481, 77, 300, 332, 19, 880, 478, 312, 320, 618, 602, 586, 529, 85, 711, 733, 629, 360, 841, 737, 482, 212, 44, 863, 781, 762, 868, 904, 789, 820, 289, 570, 129, 898, 484, 415, 63, 849, 261, 295, 620, 427, 675, 97, 285, 52, 361, 442, 436, 49, 362, 12, 384, 604, 729, 427, 698, 941, 958, 852, 660, 761, 896, 571, 836, 465, 328, 26, 46, 670, 616, 446, 111, 80, 142, 795, 347, 488, 185, 212, 213, 930, 106, 598, 464, 635, 208, 617, 343, 385, 794, 66, 931, 472, 495, 63, 310, 847, 457, 364, 549, 874, 258, 79, 500, 462, 664, 203, 393, 62, 50, 771, 887, 293, 354, 110, 563, 941, 106, 425, 924, 761, 117, 899, 99, 456, 831, 524, 333, 88, 215, 361, 78, 706, 138, 636, 538, 488, 459, 956, 36, 518, 99, 769, 699, 283, 597, 693, 80, 664, 884, 496, 168, 677, 629, 428, 72, 683, 885, 590, 794, 398, 174, 160, 603, 694, 342, 793, 335, 850, 630, 118, 505, 372, 666, 672, 894, 302, 385, 223, 23, 349, 373, 832, 171, 818, 624, 807, 180, 433, 314, 97, 132, 57, 604, 700, 681, 176, 371, 408, 66, 166, 359, 115, 59, 786, 306, 547, 754, 906, 735, 582, 204, 581, 898, 164, 567, 716, 461, 607, 961, 890, 869, 385, 212, 669, 81, 197, 107, 695, 528, 275, 219, 297, 900, 803, 192, 861, 561, 752, 509, 75, 686, 868, 26, 299, 843, 765, 561, 560, 799, 201, 518, 184, 785, 191, 230, 525, 452, 374, 362, 41, 136, 117, 496, 950, 82, 809, 255, 851, 448, 226, 764, 269, 375, 127, 731, 233, 896, 17, 341, 372, 77, 575, 608, 249, 502, 185, 365, 572, 370, 744, 482, 952, 342, 424, 821, 620, 238, 187, 795, 319, 278, 833, 805, 667, 610, 216, 11, 94, 507, 835, 424, 37, 705, 460, 388, 49, 426, 431, 928, 133, 686, 484, 154, 931, 601, 249, 615, 33, 744, 377, 932, 596, 801, 245, 430, 340, 573, 540, 869, 454, 342, 717, 59, 687, 431, 468, 270, 921, 927, 344, 358, 791, 281, 870, 101, 10, 474, 831, 553, 60, 421, 550, 774, 818, 356, 113, 402, 304, 646, 235, 217, 282, 779, 178, 568, 5, 142, 781, 339, 641, 778, 7, 33, 876, 564, 240, 912, 715, 723, 501, 874, 55, 140, 199, 639, 150, 550, 587, 663, 897, 407, 214, 911, 727, 902, 614, 320, 633, 511, 802, 234, 668, 535, 684, 601, 531, 585, 311, 655, 639, 591, 319, 570, 213, 926, 293, 693, 595, 11, 171, 475, 254, 234, 174, 653, 133, 252, 93, 414, 53, 74, 276, 882, 925, 48, 889, 785, 395, 472, 155, 946, 384, 892, 64, 17, 847, 20, 279, 865, 575, 957, 818, 822, 627, 814, 817, 84, 161, 439, 237, 146, 358, 728, 83, 504, 787, 733, 4, 213, 588, 117, 808, 176, 253, 785, 222, 216, 228, 272, 961, 252, 289, 473, 890, 481, 864, 414, 104, 822, 833, 493, 380, 147, 236, 774, 586, 876, 722, 927}

    {94, 919, 585, 585, 673, 491, 390, 266, 739, 929, 741, 227, 201, 565, 633, 11, 103, 229, 41, 504, 194, 760, 28, 851, 918, 323, 852, 637, 130, 841, 611, 824, 347, 89, 933, 815, 435, 508, 435, 854, 86, 21, 647, 653, 670, 533, 416, 789, 539, 268, 719, 228, 838, 306, 460, 684, 420, 660, 732, 633, 91, 620, 189, 953, 190, 533, 608, 718, 698, 82, 207, 40, 682, 605, 589, 118, 881, 267, 909, 934, 683, 667, 138, 860, 689, 196, 882, 775, 181, 593, 506, 194, 107, 641, 80, 600, 587, 804, 637, 684, 909, 175, 580, 512, 34, 121, 450, 901, 229, 692, 221, 376, 839, 469, 878, 652, 316, 262, 802, 153, 274, 313, 490, 917, 867, 540, 916, 759, 401, 589, 28, 906, 367, 210, 214, 645, 188, 352, 315, 192, 844, 305, 50, 366, 208, 232, 324, 783, 323, 797, 314, 556, 922, 207, 191, 957, 54, 673, 291, 358, 142, 802, 170, 451, 629, 753, 709, 100, 205, 805, 73, 471, 768, 123, 493, 193, 198, 512, 665, 139, 246, 814, 242, 528, 827, 169, 674, 696, 959, 757, 479, 690, 710, 612, 322, 812, 391, 852, 145, 18, 374, 695, 564, 220, 775, 76, 565, 363, 458, 850, 388, 869, 5, 913, 286, 431, 559, 325, 751, 523, 901, 253, 83, 750, 413, 658, 372, 519, 69, 722, 220, 119, 631, 571, 410, 556, 606, 879, 817, 198, 326, 73, 328, 824, 66, 877, 27, 731, 108, 202, 10, 497, 731, 667, 136, 489, 451, 147, 145, 823, 363, 591, 195, 125, 597, 730, 594, 200, 438, 167, 215, 330, 77, 888, 516, 840, 360, 483, 858, 102, 42, 651, 12, 444, 188, 152, 181, 58, 43, 52, 613, 346, 783, 203, 569, 86, 948, 350, 368, 748, 277, 624, 750, 62, 647, 46, 592, 851, 726, 345, 826, 503, 92, 247, 671, 221, 745, 399, 148, 635, 419, 14, 572, 43, 401, 579, 502, 294, 14, 521, 105, 952, 255, 765, 489, 164, 288, 717, 776, 916, 867, 883, 446, 741, 128, 950, 739, 273, 264, 942, 679, 584, 531, 884, 225, 591, 450, 414, 440, 1, 747, 930, 730, 21, 580, 846, 578, 870, 799, 319, 235, 513, 400, 16, 609, 503, 828, 315, 897, 140, 143, 105, 955, 847, 243, 619, 614, 815, 382, 693, 199, 49, 45, 131, 928, 461, 948, 619, 947, 622, 510, 766, 82, 102, 646, 611, 263, 87, 341, 335, 541, 834, 954, 856, 273, 954, 682, 61, 432, 163, 236, 265, 862, 43, 198, 355, 268, 526, 131, 517, 758, 225, 508, 860, 825, 159, 549, 560, 0, 691, 915, 299, 724, 833, 155, 35, 613, 136, 35, 807, 221, 442, 90, 625, 937, 734, 178, 506, 53, 31, 89, 165, 243, 701, 177, 743, 419, 459, 112, 497, 356, 610, 288, 31, 244, 14, 390, 207, 256, 216, 691, 355, 381, 3, 134, 758, 173, 471, 550, 114, 108, 432, 48, 71, 811, 805, 403, 261, 542, 137, 166, 636, 657, 134, 109, 366, 351, 109, 341, 919, 126, 30, 565, 771, 920, 346, 925, 268, 846, 786, 240, 206, 348, 766, 172, 288, 543, 461, 436, 312, 623, 598, 273, 15, 146, 409, 546, 295, 499, 762, 631, 316, 240, 229, 520, 764, 907, 844, 359, 690, 694, 491, 839, 122, 162, 583, 578, 55, 931, 441, 287, 52, 747, 479, 676, 378, 140, 124, 601, 386, 842, 902, 720, 391, 849, 743, 577, 19, 521, 338, 575, 412, 609, 376, 394, 853, 412, 757, 454, 858, 762, 296, 712, 27, 607, 494, 649, 455, 921, 91, 390, 868, 878, 790, 84, 566, 433, 960, 630, 194, 68, 450, 756, 242, 626, 81, 281, 810, 244, 126, 551, 428, 262, 506, 31, 914, 415, 654, 127, 378, 440, 669, 527, 245, 893, 217, 815, 855, 457, 697, 170, 539, 88, 153, 675, 766, 922, 455, 850, 552, 71, 186, 116, 407, 823, 701, 399, 893, 387, 73, 350, 675, 718, 657, 665, 837, 861, 425, 183, 141, 904, 438, 418, 278, 58, 656, 642, 685, 376, 592, 808, 438, 291, 475, 606, 306, 581, 719, 804, 177, 755, 15, 594, 303, 928, 689, 454, 466, 157, 158, 226, 111, 158, 527, 915, 456, 487, 135, 666, 685, 7, 22, 203, 744, 429, 778, 263, 683, 417, 160, 244, 895, 649, 485, 364, 254, 635, 547, 305, 774, 790, 696, 593, 828, 930, 340, 692, 557, 505, 253, 737, 713, 595, 652, 0, 604, 768, 602, 877, 734, 172, 134, 169, 526, 179, 768, 298, 245, 257, 348, 37, 206, 571, 469, 56, 451, 2, 308, 336, 573, 65, 507, 191, 48, 241, 258, 895, 770, 958, 51, 809, 476, 845, 305, 57, 880, 201, 510, 721, 924, 543, 308, 453, 678, 905, 459, 475, 960, 300, 848, 462, 107, 934, 339, 842, 146, 343, 776, 759, 745, 154, 264, 318, 421, 956, 269, 503, 929, 773, 474, 436, 905, 507, 589, 315, 352, 211, 399, 183, 804, 260, 103, 794, 13, 205, 552, 141, 963, 492, 803, 349, 514, 211, 541, 400, 15, 907, 271, 820, 594, 210, 735, 937, 767, 443, 98, 262, 719, 396, 7, 914, 800, 403, 467, 754, 463, 631, 676, 574, 308, 793, 39, 426, 531, 9, 950, 789, 21, 755, 706, 317, 32, 225, 828, 938, 239, 246, 354, 329, 499, 681, 392, 24, 763, 127, 694, 630, 204, 483, 733, 351, 25, 150, 807, 798, 251, 518, 577, 333, 626, 613, 523, 440, 875, 707, 469, 680, 883, 843, 553, 443, 392, 100, 467, 724, 4, 920, 8, 470, 501, 949, 200, 891, 751, 516, 659, 350, 131, 161, 327, 963, 953, 233, 396, 337, 391, 617, 428, 259, 529, 600, 182, 87, 261, 206, 27, 413, 689, 204, 797, 230, 365, 486, 165, 458, 247, 537, 44, 26, 588, 526, 408, 948, 582, 92, 397, 729, 175, 25, 329, 263, 536, 270, 441, 714, 32, 844, 271, 209, 18, 81, 725, 280, 579, 419, 413, 387, 698, 720, 302, 867, 515, 856, 523, 916, 790, 484, 449, 870, 24, 599, 403, 327, 562, 660, 819, 822, 294, 102, 751, 879, 527, 480, 554, 645, 936, 290, 1, 233, 411, 67, 417, 519, 420, 65, 109, 514, 534, 677, 313, 741, 638, 886, 662, 922, 392, 661, 130, 923, 44, 112, 490, 445, 787, 74, 381, 257, 563, 702, 797, 662, 602, 502, 658, 56, 729, 919, 228, 873, 460, 873, 714, 447, 962, 202, 680, 434, 859, 525, 781, 913, 241, 846, 553, 447, 45, 659, 442, 336, 22, 609, 196, 491, 423, 954, 346, 298, 860, 287, 910, 935, 643, 826, 74, 746, 579, 651, 560, 596, 885, 612, 562, 9, 159, 840, 862, 905, 470, 544, 528, 466, 739, 72, 668, 490, 70, 800, 119, 298, 32, 141, 542, 189, 260, 67, 4, 821, 871, 483, 197, 673, 326, 54, 853, 287, 478, 324, 734, 856, 710, 597, 772, 174, 35, 113, 231, 407, 707, 770, 655, 576, 839, 578, 477, 366, 56, 156, 335, 944, 549, 498, 386, 165, 367, 546, 576, 688, 115, 891, 541, 573, 334, 242, 715, 960, 873, 255, 316, 821, 760, 326, 709, 918, 325, 547, 209, 714, 845, 334, 663, 353, 181, 810, 280, 718, 114, 875, 934, 682, 516, 218, 897, 234, 725, 120, 99, 286, 265, 879, 1, 42, 962, 767, 891, 907, 256, 25, 307, 68, 596, 113, 792, 545, 429, 947, 695, 210, 962, 471, 865, 542, 782, 546, 623, 8, 544, 945, 227, 829, 151, 558, 182, 498, 254, 126, 893, 70, 616, 713, 545, 721, 913, 740, 524, 640, 758, 638, 101, 643, 96, 488, 548, 444, 389, 866, 663, 559, 115, 606, 538, 590, 277, 163, 168, 623, 137, 743, 62, 486, 700, 759, 519, 725, 411, 603, 777, 721, 842, 104, 820, 195, 467, 937, 353, 246, 861, 837, 125, 420, 223, 307, 380, 98, 12, 412, 211, 404, 98, 894, 782, 55, 258, 871, 752, 489, 135, 435, 285, 65, 532, 935, 588, 320, 517, 69, 481, 75, 310, 269, 398, 188, 644, 647, 853, 63, 282, 397, 312, 776, 197, 381, 598, 423, 720, 661, 659, 156, 857, 816, 441, 103, 60, 515, 554, 854, 688, 812, 935, 915, 817, 67, 132, 361, 363, 138, 756, 829, 455, 881, 100, 415, 494, 749, 757, 40, 157, 945, 816, 545, 187, 753, 497, 404, 110, 536, 51, 748, 97, 60, 798, 29, 39, 494, 775, 208, 473, 300, 175, 513, 854, 398, 640, 522, 226, 382, 811, 446, 433, 193, 147, 280, 272, 841, 752, 544, 183, 348, 149, 866, 54, 621, 496, 349, 410, 517, 938, 421, 96, 955, 947, 765, 406, 322, 735, 778, 674}

    Returns: {0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0 }

  62. 904

    {884, 84, 155, 385, 149, 652, 645, 587, 718, 335, 512, 785, 316, 581, 670, 81, 826, 90, 901, 165, 419, 294, 757, 271, 519, 578, 820, 406, 329, 306, 703, 752, 736, 700, 451, 777, 420, 706, 325, 224, 278, 804, 386, 101, 687, 368, 106, 647, 143, 900, 25, 107, 805, 167, 442, 887, 92, 712, 207, 223, 491, 827, 169, 697, 507, 155, 390, 300, 158, 801, 99, 855, 207, 538, 601, 511, 533, 70, 672, 254, 458, 175, 408, 116, 12, 109, 842, 300, 897, 842, 563, 545, 661, 628, 514, 81, 214, 796, 252, 615, 49, 795, 315, 658, 376, 684, 744, 129, 626, 470, 382, 120, 466, 547, 369, 883, 632, 192, 239, 712, 474, 206, 58, 457, 60, 83, 744, 147, 397, 857, 446, 63, 770, 520, 222, 600, 117, 39, 582, 146, 276, 132, 189, 275, 526, 389, 264, 717, 62, 902, 536, 103, 247, 195, 34, 616, 255, 516, 559, 181, 782, 21, 263, 270, 181, 544, 68, 135, 375, 818, 424, 628, 522, 113, 650, 606, 91, 405, 0, 437, 828, 407, 766, 611, 45, 11, 498, 794, 154, 521, 815, 502, 461, 618, 873, 672, 179, 354, 336, 85, 248, 158, 231, 560, 70, 261, 709, 337, 369, 893, 636, 371, 35, 261, 373, 591, 388, 430, 307, 609, 151, 752, 78, 382, 569, 542, 312, 760, 378, 436, 185, 440, 209, 122, 724, 9, 9, 12, 807, 870, 347, 281, 411, 328, 901, 430, 526, 525, 621, 635, 696, 584, 84, 210, 457, 108, 735, 529, 243, 74, 769, 768, 94, 286, 23, 435, 585, 805, 586, 728, 350, 426, 191, 629, 486, 23, 730, 487, 174, 340, 117, 764, 795, 238, 607, 850, 31, 684, 201, 613, 449, 276, 642, 529, 641, 448, 19, 384, 781, 32, 75, 784, 781, 554, 381, 322, 570, 761, 612, 265, 56, 760, 303, 790, 61, 334, 878, 355, 567, 55, 305, 771, 363, 348, 856, 118, 877, 493, 381, 215, 537, 633, 610, 183, 536, 434, 277, 536, 828, 187, 565, 496, 96, 44, 637, 322, 88, 517, 153, 710, 408, 418, 889, 863, 278, 125, 718, 686, 71, 630, 52, 290, 245, 596, 446, 168, 695, 864, 519, 739, 119, 378, 865, 139, 469, 787, 427, 747, 220, 134, 524, 57, 674, 110, 177, 673, 119, 886, 429, 405, 288, 436, 429, 159, 787, 141, 763, 421, 833, 144, 680, 311, 259, 95, 341, 850, 689, 222, 617, 412, 251, 127, 711, 357, 631, 30, 835, 690, 113, 424, 319, 500, 819, 553, 345, 820, 568, 525, 128, 220, 683, 13, 333, 698, 871, 115, 768, 46, 142, 864, 705, 563, 261, 362, 463, 774, 427, 474, 145, 870, 704, 854, 813, 209, 476, 134, 553, 271, 84, 630, 415, 568, 659, 338, 701, 0, 894, 792, 406, 867, 240, 600, 12, 199, 876, 651, 489, 721, 37, 277, 150, 485, 726, 161, 205, 716, 823, 311, 653, 240, 41, 438, 152, 77, 344, 292, 196, 579, 550, 404, 498, 846, 528, 860, 881, 746, 856, 19, 782, 543, 191, 414, 697, 339, 344, 15, 36, 80, 383, 125, 255, 165, 409, 590, 556, 280, 331, 640, 762, 813, 811, 808, 50, 229, 438, 526, 751, 797, 743, 600, 176, 177, 455, 75, 87, 673, 72, 499, 651, 579, 173, 465, 74, 144, 326, 344, 203, 394, 278, 1, 466, 403, 456, 894, 394, 640, 182, 546, 398, 806, 297, 183, 492, 682, 830, 107, 645, 160, 355, 313, 716, 206, 96, 32, 170, 512, 339, 784, 786, 320, 798, 244, 681, 591, 294, 248, 296, 839, 837, 350, 892, 202, 780, 133, 557, 836, 195, 577, 540, 731, 353, 737, 101, 581, 769, 437, 894, 795, 146, 798, 592, 320, 330, 496, 124, 307, 683, 109, 565, 14, 897, 4, 349, 814, 20, 715, 416, 22, 900, 358, 55, 101, 605, 235, 749, 309, 423, 809, 117, 113, 643, 726, 694, 422, 275, 887, 838, 719, 411, 100, 252, 722, 112, 509, 267, 694, 503, 197, 468, 359, 262, 893, 661, 418, 613, 485, 820, 103, 729, 355, 59, 679, 464, 211, 788, 426, 672, 201, 899, 734, 802, 805, 899, 647, 555, 738, 42, 11, 561, 657, 564, 855, 572, 891, 9, 774, 163, 397, 451, 80, 494, 264, 42, 370, 347, 645, 543, 92, 618, 577, 425, 337, 46, 560, 891, 633, 862, 238, 862, 794, 595, 197, 388, 569, 51, 188, 773, 131, 732, 588, 102, 502, 96, 217, 20, 809, 549, 725, 18, 314, 804, 847, 665, 470, 729, 642, 593, 864, 615, 110, 283, 91, 615, 607, 607, 318, 746, 826, 689, 228, 225, 639, 794, 492, 593, 115, 414, 844, 374, 302, 396, 766, 417, 135, 651, 734, 242, 733, 830, 304, 263, 277, 859, 740, 592, 586, 482, 232, 872, 712, 628, 874, 614, 704, 54, 323, 369, 391, 399, 287, 250, 311, 258, 483, 739, 183, 362, 611, 5, 335, 527, 85, 620, 301, 789, 26, 284, 484, 507, 342, 531, 324, 714, 128, 874, 64, 807, 751, 831, 674, 848, 156, 543, 331, 139, 106, 671, 343, 842, 137, 598, 149, 368, 247, 668, 42, 1, 6, 200, 210, 507, 857, 861, 464, 492, 152, 797, 832, 467, 867, 605, 614, 614, 887, 682, 218, 756, 845, 588, 428, 760, 623, 473, 732, 828, 263, 851, 323, 638, 716, 453, 491, 28, 696, 235, 605, 227, 814, 533, 365, 313, 351, 414, 76, 571, 550, 259, 707, 77, 632, 731, 281, 162, 17, 690, 248, 260, 163, 670, 423, 219, 657, 861, 834, 321, 39, 792, 327, 722, 752, 652, 151, 354, 284, 221, 16, 599, 688, 35, 165, 125, 798, 93, 608, 205, 858, 200, 390, 226, 753, 816, 534, 704, 119, 116, 581, 777, 826, 361, 730, 540, 199, 133, 429, 375, 833, 560, 49, 767, 249, 863, 745, 142, 218, 553, 293, 686, 308, 206, 413, 186, 4, 400, 669, 370, 318, 572, 664, 800, 124, 132, 713, 211, 312, 848, 128, 736, 150, 782, 193, 467, 473, 477, 762, 742, 618, 348, 681, 413, 796, 649, 728, 217, 836, 515, 780, 643, 87, 241, 330, 585, 490, 845, 301, 462, 658, 647, 683, 320, 404, 154, 720, 80, 358, 168, 430, 52, 885, 383, 698, 306, 435, 156, 468, 445, 59, 346, 244, 13, 121, 258, 293, 310, 885, 7, 112, 688, 384, 200, 737, 140, 673, 32, 353, 174, 685, 70, 234, 65, 689, 578, 742, 792, 258, 173, 250, 342, 389, 503, 520, 456, 329, 286, 171, 97, 448, 838, 57, 587, 567, 551, 33, 465, 539, 690, 656, 591, 146, 432, 127, 232, 159, 437, 644, 586, 889, 897, 548, 250, 336, 700, 329, 3, 608, 79, 346, 528, 224, 806, 398, 431, 94, 636, 131, 592, 582, 132, 286, 269, 520, 47, 808, 229, 487, 874, 624, 97, 99, 156, 403, 393, 839, 395, 317, 738, 108, 269, 531, 630, 878, 707, 698, 775, 486, 397, 213, 856, 228, 270, 853, 22, 504, 544, 603, 384, 847, 45, 776, 653, 129, 40, 483, 499, 697, 66, 138, 225, 330, 438, 368, 209, 134, 665, 824, 891, 728, 234, 686, 173, 124, 203, 321, 317, 220, 281, 768, 508, 21, 212, 761, 445, 147, 372, 448, 808, 802, 153, 619, 155, 415, 595, 444, 472, 564, 584, 801, 94, 162, 89, 854, 608, 30, 551, 518, 643, 98, 458, 148, 272, 624, 270, 360, 382, 460, 855, 682, 824, 531, 115, 3, 491, 735, 480, 480, 428, 731, 766, 872, 886, 212, 462, 88, 88, 819, 477, 833, 459, 751, 783, 853, 475, 654, 452, 778, 809, 497, 123, 700, 361, 649, 428, 636, 357, 168, 800, 58, 612, 337, 333, 17, 61, 606, 652, 171, 440, 890, 759, 654, 863, 632, 699, 481, 211, 834, 787, 418, 321, 237, 159, 469, 69, 474, 580, 899, 51, 613, 269, 54, 216, 881, 869, 523, 717, 104, 31, 757, 169, 564, 442, 542, 708, 308, 62, 832, 426, 623, 888, 362, 544, 36, 571, 519, 147, 729, 722, 555, 273, 301, 118, 122, 452, 47, 39, 823, 725, 499, 528, 545, 142, 470, 816, 870, 709, 576, 127, 763}

    {558, 674, 171, 488, 497, 669, 901, 671, 846, 392, 723, 256, 161, 695, 385, 718, 625, 381, 875, 214, 136, 468, 256, 317, 741, 282, 148, 706, 532, 450, 473, 95, 599, 524, 481, 6, 166, 788, 529, 532, 140, 493, 488, 610, 396, 148, 827, 68, 462, 241, 612, 164, 186, 693, 71, 89, 622, 296, 570, 135, 757, 187, 510, 706, 844, 832, 590, 680, 44, 82, 18, 784, 373, 169, 308, 552, 522, 854, 853, 204, 48, 53, 256, 896, 338, 2, 866, 532, 583, 370, 376, 485, 453, 648, 866, 454, 130, 251, 868, 450, 167, 395, 471, 463, 170, 338, 743, 877, 178, 58, 848, 268, 561, 677, 298, 625, 215, 126, 443, 407, 254, 527, 657, 392, 521, 838, 28, 471, 379, 100, 549, 410, 646, 86, 638, 182, 720, 534, 420, 212, 753, 366, 893, 800, 489, 38, 679, 364, 219, 841, 341, 692, 164, 219, 534, 825, 8, 198, 126, 345, 118, 667, 259, 376, 594, 580, 403, 439, 332, 347, 273, 64, 353, 226, 810, 662, 594, 530, 538, 120, 98, 895, 890, 750, 327, 123, 157, 780, 443, 709, 589, 648, 540, 260, 307, 710, 840, 622, 556, 24, 66, 230, 688, 283, 346, 176, 639, 16, 671, 102, 316, 361, 625, 596, 486, 441, 267, 30, 767, 886, 535, 578, 439, 513, 749, 852, 136, 385, 812, 821, 393, 98, 634, 537, 725, 129, 799, 496, 714, 551, 140, 449, 776, 276, 280, 602, 611, 461, 573, 812, 340, 435, 562, 635, 177, 90, 223, 310, 659, 104, 371, 466, 723, 472, 617, 626, 190, 541, 638, 105, 433, 427, 497, 322, 640, 82, 56, 299, 719, 114, 515, 525, 840, 287, 678, 297, 846, 249, 193, 845, 815, 785, 104, 100, 17, 665, 292, 255, 793, 136, 82, 79, 161, 246, 558, 509, 196, 216, 676, 644, 733, 440, 87, 789, 825, 457, 295, 482, 386, 179, 67, 352, 866, 619, 786, 395, 799, 840, 685, 774, 366, 410, 748, 360, 229, 481, 666, 817, 670, 106, 233, 73, 305, 589, 260, 319, 684, 191, 295, 574, 328, 72, 447, 789, 64, 391, 454, 44, 623, 703, 455, 506, 53, 172, 575, 40, 225, 291, 99, 734, 331, 516, 291, 759, 13, 184, 604, 895, 736, 319, 453, 175, 304, 609, 392, 265, 576, 779, 333, 471, 849, 10, 803, 517, 761, 29, 662, 358, 873, 3, 541, 253, 871, 282, 817, 289, 487, 566, 801, 754, 807, 411, 823, 460, 24, 602, 238, 365, 745, 664, 629, 379, 724, 631, 91, 266, 198, 422, 241, 765, 646, 476, 510, 202, 539, 872, 180, 692, 425, 865, 380, 858, 163, 635, 332, 160, 860, 232, 8, 424, 902, 693, 213, 222, 868, 710, 756, 505, 304, 490, 610, 210, 31, 73, 727, 510, 242, 377, 522, 139, 193, 199, 138, 49, 903, 460, 750, 377, 772, 66, 691, 620, 254, 748, 775, 315, 811, 839, 517, 740, 555, 696, 364, 678, 359, 1, 207, 552, 451, 692, 93, 81, 569, 604, 596, 726, 423, 289, 829, 477, 656, 7, 890, 363, 836, 298, 558, 503, 109, 776, 779, 130, 456, 467, 298, 875, 29, 373, 681, 443, 711, 399, 289, 279, 252, 750, 743, 849, 38, 475, 172, 334, 802, 754, 69, 523, 86, 318, 824, 675, 554, 815, 675, 279, 390, 78, 351, 349, 818, 50, 180, 620, 25, 65, 530, 367, 387, 399, 27, 380, 19, 151, 463, 348, 138, 396, 875, 215, 294, 86, 740, 879, 187, 419, 563, 494, 441, 401, 621, 511, 102, 394, 783, 514, 285, 41, 208, 622, 541, 582, 447, 602, 719, 194, 459, 223, 557, 323, 764, 685, 402, 631, 131, 484, 772, 521, 472, 804, 67, 284, 162, 579, 164, 830, 892, 221, 770, 548, 5, 583, 314, 266, 244, 548, 345, 282, 896, 705, 516, 770, 829, 793, 288, 185, 478, 676, 527, 584, 778, 458, 247, 7, 498, 299, 111, 63, 627, 285, 123, 150, 859, 469, 367, 739, 352, 157, 233, 76, 559, 735, 442, 83, 479, 303, 268, 667, 4, 639, 27, 192, 873, 5, 26, 459, 406, 604, 574, 356, 585, 509, 231, 224, 245, 419, 6, 539, 444, 166, 180, 257, 205, 663, 865, 570, 877, 93, 881, 77, 678, 702, 723, 565, 732, 441, 831, 280, 903, 708, 883, 810, 852, 624, 103, 813, 196, 143, 74, 783, 675, 559, 446, 566, 771, 478, 724, 598, 898, 316, 364, 676, 627, 111, 827, 107, 720, 626, 595, 843, 741, 583, 829, 374, 843, 257, 15, 546, 290, 572, 306, 779, 816, 181, 372, 550, 500, 352, 506, 883, 764, 34, 699, 46, 174, 33, 713, 43, 746, 513, 85, 43, 898, 758, 41, 359, 479, 821, 65, 730, 416, 562, 79, 335, 114, 272, 668, 566, 285, 204, 43, 867, 502, 292, 137, 231, 880, 650, 398, 166, 642, 835, 598, 343, 711, 201, 821, 535, 378, 489, 702, 666, 573, 756, 545, 659, 707, 825, 627, 695, 325, 339, 61, 803, 796, 227, 850, 648, 849, 389, 152, 562, 513, 547, 876, 464, 296, 538, 556, 253, 869, 601, 97, 660, 287, 773, 888, 791, 297, 218, 590, 227, 310, 691, 2, 616, 375, 717, 251, 407, 432, 895, 714, 601, 701, 633, 37, 822, 737, 268, 25, 309, 274, 852, 490, 791, 488, 401, 271, 365, 634, 272, 495, 328, 38, 859, 708, 797, 812, 637, 402, 810, 402, 48, 290, 634, 377, 434, 738, 790, 500, 547, 36, 589, 121, 332, 650, 417, 814, 172, 274, 879, 654, 888, 677, 351, 892, 34, 571, 144, 476, 715, 203, 360, 92, 83, 194, 501, 765, 902, 691, 404, 350, 189, 694, 75, 236, 763, 54, 880, 48, 408, 213, 228, 52, 26, 249, 554, 822, 35, 619, 334, 299, 387, 767, 324, 641, 221, 239, 475, 59, 73, 511, 882, 262, 777, 847, 742, 230, 137, 293, 143, 680, 594, 68, 882, 514, 388, 291, 190, 431, 185, 122, 506, 557, 356, 454, 568, 765, 857, 493, 483, 326, 851, 655, 597, 879, 637, 772, 597, 63, 288, 518, 515, 687, 439, 105, 482, 687, 314, 198, 773, 57, 703, 662, 876, 410, 641, 400, 523, 552, 130, 283, 778, 679, 237, 264, 202, 841, 141, 2, 237, 372, 603, 861, 192, 465, 194, 182, 530, 504, 755, 811, 786, 325, 576, 204, 105, 455, 8, 432, 374, 818, 644, 312, 533, 126, 108, 167, 745, 45, 422, 480, 621, 721, 412, 246, 188, 869, 744, 40, 72, 309, 837, 436, 208, 188, 727, 189, 245, 336, 274, 53, 658, 230, 663, 577, 660, 342, 305, 880, 11, 713, 656, 60, 819, 649, 597, 14, 383, 324, 27, 495, 452, 327, 412, 663, 508, 478, 837, 22, 15, 275, 494, 415, 781, 755, 391, 537, 10, 444, 313, 822, 302, 817, 461, 50, 501, 617, 741, 677, 400, 235, 253, 179, 505, 401, 884, 733, 885, 341, 699, 609, 421, 236, 367, 434, 154, 573, 431, 343, 574, 580, 868, 806, 178, 145, 24, 242, 433, 660, 799, 702, 356, 771, 788, 666, 896, 484, 217, 504, 835, 518, 629, 727, 661, 214, 112, 669, 445, 47, 393, 882, 889, 851, 599, 158, 561, 387, 758, 505, 184, 449, 315, 450, 701, 546, 841, 878, 769, 759, 793, 575, 791, 10, 775, 178, 23, 512, 257, 413, 508, 754, 295, 273, 76, 898, 386, 234, 266, 240, 16, 170, 535, 844, 495, 871, 371, 524, 616, 302, 279, 785, 78, 715, 95, 588, 884, 21, 575, 110, 67, 89, 416, 116, 265, 903, 133, 195, 28, 762, 157, 693, 62, 186, 20, 603, 653, 433, 357, 37, 197, 409, 748, 479, 233, 111, 668, 409, 501, 803, 33, 141, 858, 834, 747, 567, 758, 208, 655, 790, 160, 153, 379, 14, 226, 216, 69, 447, 421, 149, 114, 303, 593, 380, 664, 843, 120, 56, 326, 184, 176, 363, 646, 831, 862, 243, 753, 0, 236, 425, 71, 354, 549, 655, 747, 860, 262, 755, 900, 705, 90, 721, 18, 405, 587, 340, 417, 190, 243, 55, 366, 300, 246, 145, 349, 51, 267, 749, 667, 542, 121, 239, 175, 60, 29, 420, 606}

    Returns: {0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1 }

  63. 840

    {261, 753, 250, 217, 478, 171, 817, 68, 600, 488, 562, 72, 726, 625, 677, 156, 301, 350, 532, 233, 779, 528, 134, 662, 454, 159, 476, 700, 49, 600, 467, 88, 753, 127, 198, 54, 86, 487, 243, 289, 316, 460, 693, 26, 482, 142, 575, 217, 763, 414, 424, 621, 434, 189, 781, 411, 434, 805, 726, 490, 647, 346, 344, 588, 632, 521, 304, 468, 535, 497, 125, 481, 805, 400, 337, 600, 321, 508, 563, 209, 253, 293, 462, 17, 394, 196, 435, 58, 291, 334, 465, 725, 608, 676, 768, 729, 655, 98, 471, 631, 382, 366, 612, 67, 823, 472, 359, 16, 47, 802, 557, 464, 44, 111, 173, 767, 211, 453, 456, 5, 418, 344, 64, 254, 282, 28, 583, 832, 677, 312, 170, 566, 663, 801, 703, 197, 57, 231, 718, 591, 651, 587, 533, 485, 613, 599, 162, 462, 232, 458, 489, 239, 744, 450, 795, 10, 325, 236, 7, 79, 35, 715, 548, 336, 422, 249, 52, 137, 474, 319, 449, 340, 574, 715, 554, 143, 829, 307, 289, 813, 463, 68, 489, 569, 87, 410, 313, 630, 556, 523, 519, 443, 515, 92, 627, 492, 447, 404, 493, 62, 450, 661, 764, 188, 136, 806, 278, 213, 328, 151, 763, 797, 352, 392, 381, 447, 152, 474, 387, 357, 542, 604, 170, 598, 276, 589, 164, 481, 85, 313, 467, 48, 597, 723, 198, 246, 451, 277, 519, 311, 115, 187, 674, 206, 821, 546, 302, 90, 796, 480, 248, 809, 383, 768, 169, 735, 671, 99, 718, 125, 49, 707, 768, 830, 803, 770, 783, 2, 303, 212, 93, 22, 414, 128, 343, 493, 221, 811, 57, 699, 730, 730, 818, 78, 356, 227, 62, 338, 81, 594, 655, 419, 357, 679, 120, 394, 759, 64, 595, 49, 439, 687, 734, 729, 31, 683, 540, 255, 346, 598, 803, 159, 109, 777, 763, 324, 717, 482, 491, 388, 667, 501, 18, 261, 771, 746, 280, 568, 660, 233, 285, 688, 805, 113, 617, 781, 37, 756, 300, 81, 76, 786, 699, 391, 824, 387, 480, 691, 319, 503, 559, 58, 436, 39, 194, 731, 520, 799, 722, 82, 633, 316, 36, 255, 681, 238, 593, 580, 145, 570, 304, 248, 675, 697, 808, 653, 6, 761, 378, 454, 786, 95, 14, 833, 518, 466, 615, 406, 177, 585, 671, 732, 162, 422, 212, 722, 1, 534, 570, 509, 499, 620, 16, 434, 223, 39, 27, 332, 755, 387, 593, 277, 184, 541, 118, 541, 97, 118, 479, 625, 109, 479, 313, 831, 127, 95, 839, 827, 611, 230, 785, 561, 223, 389, 448, 716, 254, 73, 425, 70, 454, 15, 168, 706, 424, 390, 512, 41, 314, 292, 74, 746, 114, 32, 734, 378, 409, 73, 685, 172, 5, 164, 199, 501, 113, 307, 638, 771, 605, 84, 310, 19, 777, 365, 720, 774, 82, 9, 245, 36, 225, 760, 582, 545, 631, 22, 537, 660, 573, 241, 285, 87, 704, 473, 707, 211, 592, 295, 10, 373, 636, 560, 827, 821, 14, 777, 779, 302, 53, 694, 748, 59, 686, 453, 411, 85, 325, 570, 482, 431, 609, 473, 599, 390, 637, 714, 48, 641, 280, 511, 375, 646, 577, 310, 156, 210, 340, 461, 484, 782, 738, 628, 299, 230, 457, 814, 306, 674, 770, 250, 767, 106, 326, 381, 560, 420, 15, 683, 135, 831, 432, 479, 393, 98, 333, 514, 731, 206, 459, 586, 199, 510, 444, 99, 741, 94, 680, 561, 174, 328, 494, 42, 150, 368, 571, 370, 152, 246, 186, 724, 567, 506, 787, 738, 3, 394, 251, 719, 365, 253, 800, 268, 745, 697, 627, 210, 51, 50, 804, 85, 452, 91, 627, 428, 178, 218, 449, 25, 40, 535, 419, 473, 690, 70, 179, 593, 555, 291, 429, 756, 429, 140, 714, 317, 807, 336, 141, 26, 165, 700, 686, 321, 269, 333, 20, 105, 462, 112, 447, 669, 721, 250, 86, 466, 184, 399, 740, 490, 687, 251, 184, 688, 449, 780, 452, 337, 46, 820, 239, 622, 684, 835, 188, 435, 574, 243, 97, 716, 35, 637, 433, 238, 681, 790, 71, 385, 670, 216, 837, 708, 2, 709, 293, 629, 302, 146, 826, 349, 767, 349, 608, 63, 45, 822, 749, 376, 524, 416, 3, 285, 451, 287, 130, 791, 96, 255, 409, 337, 575, 114, 339, 410, 587, 131, 740, 630, 148, 824, 131, 383, 742, 251, 161, 151, 109, 676, 305, 657, 38, 399, 226, 540, 88, 481, 506, 210, 320, 47, 361, 360, 375, 143, 706, 531, 714, 269, 736, 315, 576, 117, 422, 373, 528, 317, 807, 502, 808, 132, 776, 516, 829, 598, 692, 800, 260, 169, 617, 629, 405, 275, 32, 605, 780, 69, 314, 766, 77, 150, 116, 195, 17, 558, 33, 703, 93, 89, 830, 59, 747, 53, 206, 187, 622, 389, 385, 619, 798, 58, 152, 516, 16, 621, 814, 114, 124, 57, 421, 389, 684, 78, 54, 568, 24, 521, 662, 526, 15, 558, 597, 60, 23, 723, 523, 81, 196, 33, 456, 135, 789, 218, 430, 391, 520, 11, 596, 702, 360, 833, 427, 375, 371, 385, 98, 468, 416, 75, 485, 266, 105, 489, 530, 619, 524, 69, 38, 436, 514, 137, 53, 326, 778, 701, 711, 666, 530, 318, 266, 119, 204, 592, 734, 261, 10, 772, 433, 491, 190, 347, 633, 588, 358, 751, 669, 737, 494, 141, 441, 582, 415, 401, 211, 183, 788, 529, 349, 644, 812, 217, 118, 465, 683, 642, 351, 694, 794, 511, 453, 213, 820, 634, 358, 755, 645, 426, 122, 273, 605, 551, 116, 319, 4, 138, 370, 702, 138, 830, 682, 400, 40, 455, 550, 667, 752, 295, 401, 395, 305, 461, 467, 236, 601, 661, 29, 760, 202, 347, 13, 160, 798, 253, 551, 741, 13, 271, 713, 411, 359, 815, 160, 163, 559, 666, 523, 829, 546, 783, 670, 669, 297, 132, 441, 344, 235, 405, 145, 495, 44, 590, 97, 199, 87, 7, 377, 660, 43, 745, 267, 168, 527, 478, 662, 166, 67, 529, 639, 328, 488, 765, 309, 40, 492, 203, 228, 836, 353, 729, 283, 141, 13, 333, 329, 311, 408, 37, 512, 779, 526, 147, 484, 704, 149, 590, 414, 75, 594, 621, 219, 661, 611, 522, 612, 682, 828, 566, 151, 603, 581, 521, 709, 129, 495, 705, 471, 499, 503, 540, 782, 791, 650, 616, 418, 321, 218, 338, 708, 341, 641, 1, 585, 765, 52, 84, 589, 527, 4, 174, 384, 162, 493, 64, 601, 699, 256, 121, 806, 379, 728, 235, 186, 348, 426, 586, 477, 396, 279, 136, 180, 629, 773, 567, 246, 413, 229, 352, 263, 70, 267, 412, 416, 377, 35, 705, 618, 306, 402, 309, 143, 80, 177, 541, 704, 278, 688, 555, 544, 655, 557, 515, 645, 630, 362, 76, 196, 213, 708, 459, 191, 275, 180, 155, 241, 345, 292, 483, 298, 780, 698, 839, 711, 22, 409, 555, 696, 819, 587, 773, 124, 312, 596, 329, 785, 292, 376, 377, 615, 668, 567, 764, 320, 158, 791, 258, 208, 648, 343, 374, 156, 67, 45, 69, 439, 428, 381, 84, 513, 244, 658, 188, 608, 20, 395, 171, 228, 148, 725, 589, 755, 179, 144, 525, 356, 83, 438, 262, 504, 756, 561, 48, 760, 658, 20, 369, 135, 165, 547, 466, 642, 638, 554, 401, 792, 138, 776, 412, 781, 202, 376, 263, 603, 355, 762, 698, 624, 164, 746, 795, 440, 485, 483, 601, 299, 264, 745, 802, 202, 599, 457, 572, 552, 335, 739, 554, 339, 369, 38, 692, 108, 150, 216, 266}

    {625, 423, 816, 31, 226, 193, 433, 576, 181, 790, 617, 14, 442, 606, 386, 25, 101, 89, 588, 318, 249, 9, 171, 573, 477, 717, 158, 580, 762, 52, 221, 159, 635, 123, 142, 797, 102, 326, 470, 666, 804, 403, 464, 226, 353, 272, 201, 604, 682, 595, 743, 698, 331, 94, 361, 149, 7, 702, 464, 182, 139, 556, 298, 510, 240, 534, 155, 222, 543, 100, 816, 140, 296, 96, 368, 112, 92, 5, 641, 711, 643, 299, 267, 122, 728, 419, 728, 146, 154, 397, 300, 701, 311, 563, 108, 727, 525, 417, 19, 403, 581, 403, 659, 634, 754, 395, 310, 571, 673, 505, 659, 290, 80, 511, 741, 293, 676, 722, 536, 545, 817, 265, 782, 134, 8, 610, 176, 692, 788, 499, 610, 161, 181, 190, 749, 323, 818, 716, 408, 65, 229, 104, 664, 560, 294, 204, 29, 110, 710, 445, 356, 278, 215, 54, 628, 531, 214, 231, 766, 505, 183, 51, 233, 533, 41, 354, 374, 618, 550, 99, 107, 713, 730, 134, 512, 647, 583, 354, 470, 187, 327, 216, 463, 684, 287, 693, 733, 83, 239, 784, 396, 72, 497, 564, 315, 819, 736, 769, 646, 452, 139, 176, 626, 497, 438, 166, 103, 215, 12, 631, 448, 274, 833, 167, 490, 371, 423, 539, 712, 577, 785, 220, 320, 765, 294, 30, 66, 510, 603, 551, 754, 277, 590, 732, 531, 804, 111, 174, 189, 636, 656, 749, 281, 604, 786, 572, 444, 185, 402, 488, 46, 126, 498, 205, 834, 530, 460, 537, 303, 270, 28, 127, 527, 19, 327, 500, 736, 93, 614, 486, 787, 329, 82, 237, 413, 653, 787, 649, 694, 245, 345, 811, 284, 102, 761, 1, 21, 252, 189, 623, 325, 175, 796, 597, 543, 108, 607, 778, 578, 170, 373, 614, 102, 615, 63, 288, 347, 623, 379, 642, 509, 448, 11, 752, 223, 56, 825, 480, 537, 8, 549, 812, 55, 656, 759, 322, 18, 193, 547, 444, 55, 432, 653, 562, 224, 91, 472, 558, 565, 94, 664, 663, 379, 351, 538, 571, 678, 160, 335, 167, 562, 60, 564, 257, 681, 789, 364, 484, 237, 106, 427, 737, 801, 68, 200, 363, 742, 126, 413, 343, 129, 11, 672, 596, 602, 296, 167, 61, 792, 74, 507, 735, 443, 577, 372, 47, 727, 834, 636, 315, 366, 675, 639, 269, 133, 128, 399, 407, 145, 61, 455, 405, 651, 766, 425, 384, 643, 107, 79, 468, 547, 323, 719, 456, 309, 65, 244, 534, 542, 747, 46, 836, 836, 200, 71, 178, 536, 90, 332, 101, 513, 137, 130, 124, 825, 236, 193, 690, 793, 620, 572, 90, 553, 839, 173, 487, 701, 750, 154, 495, 133, 204, 476, 257, 744, 695, 425, 382, 380, 423, 420, 180, 451, 28, 224, 207, 657, 111, 59, 163, 463, 290, 831, 17, 816, 330, 197, 238, 398, 78, 665, 443, 222, 508, 671, 665, 824, 738, 327, 192, 280, 438, 406, 362, 123, 208, 153, 103, 142, 153, 640, 427, 185, 112, 721, 713, 307, 149, 657, 533, 542, 34, 203, 237, 808, 8, 116, 774, 790, 795, 584, 811, 264, 432, 578, 685, 522, 469, 55, 607, 606, 813, 352, 573, 51, 594, 194, 119, 242, 268, 364, 706, 232, 21, 651, 632, 557, 721, 420, 125, 232, 323, 667, 178, 294, 370, 185, 428, 290, 194, 271, 748, 201, 244, 492, 446, 262, 568, 369, 121, 759, 532, 548, 538, 256, 519, 750, 618, 595, 724, 31, 346, 820, 201, 712, 500, 172, 263, 380, 12, 822, 458, 754, 308, 539, 504, 113, 832, 397, 243, 198, 139, 543, 372, 680, 259, 25, 446, 758, 828, 21, 361, 241, 286, 182, 821, 332, 715, 437, 685, 440, 574, 439, 144, 279, 129, 430, 776, 613, 56, 276, 775, 186, 417, 242, 284, 133, 342, 404, 809, 609, 609, 750, 173, 386, 835, 544, 663, 76, 235, 305, 720, 744, 639, 832, 227, 710, 735, 718, 794, 720, 772, 611, 179, 219, 575, 157, 812, 103, 606, 80, 626, 515, 455, 640, 643, 297, 207, 650, 106, 418, 148, 752, 678, 707, 565, 104, 624, 95, 792, 221, 650, 126, 764, 548, 496, 247, 402, 580, 591, 177, 494, 12, 445, 383, 408, 552, 101, 675, 18, 607, 342, 793, 398, 784, 502, 717, 393, 516, 158, 679, 726, 823, 506, 809, 632, 363, 696, 445, 703, 304, 815, 520, 366, 412, 469, 674, 372, 306, 270, 136, 140, 793, 532, 822, 576, 283, 517, 339, 616, 747, 450, 536, 272, 380, 117, 284, 192, 624, 192, 585, 690, 476, 123, 398, 259, 0, 799, 154, 393, 382, 826, 719, 272, 652, 579, 815, 835, 144, 652, 39, 668, 737, 751, 176, 331, 288, 283, 774, 727, 334, 56, 268, 498, 104, 437, 410, 668, 656, 147, 220, 646, 115, 388, 300, 602, 265, 691, 753, 368, 229, 789, 83, 301, 828, 336, 214, 367, 163, 190, 778, 220, 209, 24, 761, 222, 827, 757, 517, 691, 66, 3, 96, 544, 440, 647, 65, 693, 838, 507, 773, 563, 426, 157, 147, 498, 529, 689, 505, 524, 664, 465, 317, 712, 301, 680, 633, 723, 415, 803, 182, 513, 622, 120, 659, 686, 430, 810, 697, 549, 274, 564, 644, 155, 837, 4, 550, 291, 322, 496, 36, 552, 800, 234, 286, 335, 215, 775, 79, 799, 634, 586, 234, 758, 384, 74, 240, 526, 626, 474, 351, 709, 30, 348, 796, 582, 610, 63, 407, 565, 77, 6, 469, 371, 224, 355, 128, 86, 475, 247, 826, 613, 602, 161, 397, 710, 34, 363, 525, 696, 658, 496, 770, 296, 592, 442, 130, 784, 350, 312, 672, 487, 340, 322, 672, 486, 281, 43, 670, 207, 334, 583, 431, 72, 545, 252, 273, 219, 298, 27, 733, 819, 740, 390, 200, 0, 61, 559, 60, 569, 794, 470, 400, 581, 71, 818, 823, 772, 461, 242, 814, 798, 257, 231, 421, 168, 757, 517, 43, 355, 26, 331, 275, 308, 297, 535, 110, 23, 205, 287, 359, 514, 392, 386, 673, 45, 353, 392, 281, 612, 743, 584, 44, 733, 678, 195, 475, 212, 700, 256, 665, 649, 614, 486, 584, 354, 644, 652, 132, 834, 0, 679, 637, 41, 502, 262, 62, 314, 107, 578, 191, 825, 282, 264, 460, 388, 73, 209, 227, 742, 258, 252, 442, 635, 358, 775, 274, 807, 183, 348, 286, 436, 374, 121, 378, 751, 208, 270, 117, 6, 507, 27, 616, 549, 654, 522, 32, 431, 813, 33, 365, 42, 743, 705, 446, 42, 504, 234, 689, 30, 364, 341, 546, 459, 769, 342, 648, 415, 50, 458, 279, 214, 457, 689, 769, 172, 654, 157, 230, 638, 249, 338, 810, 350, 357, 407, 797, 228, 362, 591, 169, 556, 271, 806, 110, 421, 89, 100, 619, 441, 640, 783, 175, 801, 695, 579, 437, 518, 553, 289, 75, 649, 648, 367, 265, 165, 731, 628, 24, 225, 88, 50, 491, 424, 2, 166, 483, 635, 260, 225, 748, 553, 687, 260, 500, 34, 131, 105, 762, 528, 245, 23, 391, 66, 330, 181, 406, 503, 724, 341, 153, 288, 837, 569, 645, 417, 318, 100, 345, 360, 37, 254, 757, 9, 92, 677, 802, 404, 620, 330, 509, 240, 478, 838, 435, 324, 810, 197, 324, 654, 788, 579, 471, 758, 308, 673, 247, 518, 725, 732, 695, 146, 119, 248, 195, 77, 303, 316, 367, 771, 475, 838, 259, 258, 295, 29, 175, 276, 282, 122, 273, 739, 120, 429, 508, 739, 817, 477, 115, 538, 566, 203, 91, 396, 191, 472, 205, 501, 623, 539}

    Returns: {0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0 }

  64. 884

    {525, 761, 714, 614, 117, 333, 305, 255, 771, 731, 152, 598, 689, 107, 752, 88, 263, 816, 345, 226, 618, 852, 822, 111, 736, 468, 105, 553, 717, 91, 13, 112, 696, 696, 718, 308, 730, 735, 536, 264, 729, 283, 726, 177, 71, 367, 465, 636, 445, 705, 89, 230, 510, 556, 387, 142, 115, 643, 130, 30, 498, 469, 716, 848, 57, 107, 598, 260, 336, 854, 503, 164, 70, 283, 393, 836, 534, 570, 205, 846, 830, 438, 513, 522, 838, 647, 853, 502, 620, 68, 353, 574, 475, 515, 134, 518, 799, 329, 812, 138, 333, 200, 132, 772, 493, 586, 637, 342, 491, 6, 195, 427, 422, 92, 164, 695, 770, 74, 868, 432, 118, 290, 772, 578, 858, 539, 810, 872, 713, 280, 583, 535, 68, 295, 732, 167, 457, 290, 234, 420, 401, 118, 731, 326, 465, 550, 204, 187, 143, 866, 563, 226, 208, 809, 783, 487, 100, 831, 5, 629, 430, 240, 2, 537, 532, 144, 602, 609, 254, 732, 90, 54, 48, 464, 759, 663, 137, 694, 198, 50, 410, 374, 402, 268, 284, 40, 148, 502, 248, 826, 24, 375, 7, 23, 835, 671, 777, 1, 75, 598, 26, 108, 555, 304, 250, 56, 879, 695, 655, 708, 234, 600, 493, 49, 726, 154, 268, 196, 542, 116, 557, 231, 841, 167, 864, 693, 137, 151, 179, 859, 668, 876, 787, 634, 692, 130, 664, 581, 874, 815, 181, 337, 599, 181, 788, 194, 162, 133, 446, 441, 76, 352, 259, 200, 444, 114, 225, 725, 52, 522, 27, 705, 701, 469, 413, 356, 804, 666, 544, 63, 648, 669, 783, 618, 132, 697, 222, 323, 246, 218, 8, 291, 204, 30, 339, 104, 310, 122, 575, 817, 353, 685, 142, 593, 214, 845, 47, 529, 63, 767, 743, 714, 404, 418, 805, 236, 479, 822, 30, 683, 25, 283, 708, 686, 565, 883, 660, 872, 740, 842, 727, 300, 68, 536, 275, 188, 508, 728, 494, 428, 2, 78, 347, 435, 334, 775, 646, 114, 405, 747, 691, 506, 717, 822, 124, 792, 723, 260, 584, 241, 471, 378, 597, 212, 741, 121, 522, 425, 745, 637, 622, 335, 207, 428, 539, 109, 410, 584, 13, 831, 854, 878, 271, 416, 630, 417, 123, 46, 260, 305, 597, 435, 356, 834, 591, 233, 528, 815, 866, 473, 79, 701, 261, 516, 847, 216, 75, 824, 332, 496, 289, 506, 590, 293, 219, 212, 651, 222, 500, 98, 786, 156, 875, 129, 213, 837, 776, 54, 175, 449, 631, 397, 64, 307, 438, 296, 110, 823, 363, 448, 635, 343, 210, 330, 51, 576, 87, 800, 561, 23, 837, 127, 863, 565, 780, 741, 750, 586, 860, 621, 839, 389, 258, 223, 614, 315, 784, 318, 229, 582, 731, 516, 715, 140, 450, 302, 803, 553, 231, 138, 856, 590, 500, 168, 458, 625, 67, 765, 297, 612, 349, 129, 70, 813, 847, 133, 355, 875, 56, 113, 458, 799, 249, 452, 710, 427, 169, 134, 696, 297, 808, 782, 694, 141, 149, 594, 451, 243, 870, 797, 470, 71, 690, 515, 427, 289, 483, 871, 105, 151, 690, 713, 538, 93, 265, 592, 239, 279, 165, 55, 566, 865, 439, 95, 400, 477, 869, 601, 295, 226, 741, 99, 199, 855, 309, 35, 810, 658, 687, 836, 312, 17, 43, 300, 423, 158, 547, 605, 165, 66, 189, 422, 255, 758, 216, 826, 743, 745, 812, 453, 205, 521, 437, 766, 490, 286, 836, 87, 850, 44, 400, 10, 127, 767, 82, 390, 502, 37, 314, 625, 361, 591, 77, 238, 196, 779, 336, 281, 12, 157, 267, 214, 408, 106, 869, 320, 508, 128, 281, 797, 579, 557, 485, 829, 284, 122, 389, 473, 730, 232, 865, 676, 806, 842, 169, 426, 227, 436, 182, 759, 446, 384, 54, 237, 244, 271, 317, 617, 801, 433, 554, 451, 638, 798, 363, 506, 692, 771, 575, 258, 185, 752, 13, 844, 519, 583, 275, 431, 199, 331, 312, 860, 396, 433, 102, 768, 756, 145, 661, 791, 124, 431, 744, 619, 253, 567, 390, 802, 423, 560, 707, 461, 447, 277, 553, 56, 603, 544, 281, 748, 348, 424, 101, 587, 329, 818, 495, 301, 197, 441, 411, 401, 788, 823, 233, 588, 501, 621, 727, 574, 533, 877, 607, 185, 42, 52, 189, 160, 176, 793, 333, 712, 106, 436, 392, 555, 677, 39, 503, 816, 659, 66, 273, 445, 627, 52, 368, 833, 508, 126, 710, 488, 786, 270, 331, 247, 247, 784, 49, 422, 455, 19, 497, 240, 660, 464, 546, 636, 758, 481, 709, 184, 804, 173, 369, 197, 808, 805, 499, 685, 69, 722, 805, 295, 483, 195, 28, 285, 367, 173, 725, 247, 36, 579, 817, 86, 120, 94, 676, 163, 452, 346, 858, 252, 28, 738, 539, 136, 781, 619, 479, 357, 597, 298, 617, 778, 814, 762, 189, 629, 740, 623, 375, 280, 709, 385, 761, 64, 610, 229, 681, 592, 3, 262, 175, 611, 369, 882, 881, 99, 383, 136, 85, 125, 218, 642, 806, 610, 838, 548, 351, 749, 661, 737, 485, 477, 587, 607, 42, 330, 614, 96, 667, 595, 126, 769, 179, 253, 415, 852, 555, 791, 434, 9, 581, 160, 168, 86, 651, 859, 496, 710, 504, 404, 607, 429, 775, 583, 384, 109, 453, 588, 437, 496, 293, 237, 729, 692, 114, 585, 199, 492, 80, 733, 176, 626, 399, 475, 520, 140, 394, 847, 377, 751, 23, 585, 608, 391, 193, 141, 323, 271, 721, 245, 45, 712, 315, 285, 507, 688, 767, 387, 770, 855, 318, 581, 433, 530, 878, 405, 535, 414, 771, 879, 499, 662, 152, 11, 168, 460, 682, 639, 86, 540, 861, 790, 830, 817, 91, 447, 680, 304, 337, 518, 335, 645, 604, 824, 103, 15, 417, 350, 179, 717, 339, 739, 304, 237, 242, 764, 604, 772, 706, 415, 110, 551, 252, 33, 811, 274, 108, 438, 813, 240, 578, 820, 742, 876, 667, 292, 505, 75, 298, 569, 698, 882, 646, 543, 412, 756, 777, 357, 573, 840, 466, 192, 479, 870, 675, 831, 229, 802, 201, 595, 456, 267, 714, 458, 274, 683, 318, 94, 435, 730, 510, 409, 452, 294, 688, 426, 489, 864, 178, 292, 712, 620, 385, 396, 869, 10, 101, 843, 69, 827, 804, 311, 202, 392, 625, 518, 170, 250, 359, 214, 367, 740, 643, 80, 58, 191, 824, 287, 881, 81, 82, 785, 566, 213, 113, 868, 216, 872, 753, 532, 756, 638, 457, 109, 258, 665, 125, 699, 365, 770, 645, 93, 881, 510, 796, 653, 58, 551, 44, 255, 387, 711, 432, 490, 165, 615, 742, 289, 316, 789, 409, 627, 225, 379, 807, 470, 603, 211, 4, 650, 790, 883, 613, 196, 716, 84, 843, 533, 664, 136, 850, 845, 100, 81, 349, 358, 6, 715, 363, 294, 613, 485, 129, 697, 809, 534, 709, 0, 77, 352, 449, 638, 567, 883, 623, 526, 303, 0, 47, 734, 300, 8, 735, 605, 705, 421, 720, 308, 745, 134, 546, 702, 437, 138, 509, 672, 571, 157, 414, 423, 306, 340, 716, 299, 548, 224, 859, 569, 538, 586, 106, 821, 520, 326, 687, 288, 256, 394, 466, 359, 861, 34, 630, 415, 102, 473, 460, 686, 395, 20, 495, 764, 291, 878, 303, 761, 840, 167, 537, 689, 399, 335, 28, 823, 344, 595, 818, 474, 269, 265, 332, 577, 306, 656, 416, 845, 154, 462, 469, 547, 538, 779, 76, 231, 687, 737, 251, 531, 451, 4, 8, 262, 683, 70, 453, 93, 204, 146, 693, 307, 118, 679, 288, 537, 150, 646, 309, 727, 25, 797, 494, 569, 494, 358, 284, 391, 277, 803, 395, 37, 486, 540, 808, 10, 477, 674, 50, 653, 210, 811, 37, 418, 132, 55, 97, 738, 4, 854, 287, 480, 291, 672, 72, 631, 47, 412, 611, 795, 783, 412, 784, 334, 669, 790, 615, 314, 641, 662, 267, 206, 650, 568, 504, 303, 604, 84, 315, 521, 34, 105, 9, 600}

    {209, 123, 288, 626, 382, 29, 180, 829, 436, 543, 866, 323, 139, 857, 67, 456, 670, 350, 532, 575, 97, 220, 606, 322, 38, 403, 834, 618, 33, 682, 92, 467, 257, 248, 158, 248, 799, 774, 38, 803, 497, 97, 245, 724, 501, 725, 857, 828, 325, 543, 623, 742, 369, 461, 788, 559, 154, 413, 679, 330, 684, 430, 198, 460, 83, 319, 675, 619, 320, 150, 96, 531, 20, 396, 65, 53, 398, 841, 53, 53, 172, 301, 701, 587, 187, 615, 372, 286, 751, 50, 215, 5, 849, 768, 762, 162, 78, 302, 524, 344, 697, 732, 296, 416, 398, 746, 252, 849, 359, 795, 153, 780, 249, 221, 778, 274, 495, 94, 489, 573, 299, 762, 759, 750, 362, 686, 486, 122, 393, 382, 264, 564, 603, 211, 249, 346, 749, 682, 492, 548, 535, 73, 194, 578, 848, 552, 655, 16, 478, 711, 272, 148, 540, 76, 781, 523, 570, 602, 832, 529, 484, 658, 48, 313, 340, 449, 364, 407, 684, 821, 431, 238, 172, 589, 163, 166, 863, 476, 14, 488, 486, 661, 652, 159, 843, 703, 171, 15, 257, 380, 880, 429, 124, 718, 350, 344, 655, 636, 472, 228, 213, 577, 45, 641, 32, 133, 873, 266, 324, 704, 12, 44, 99, 104, 547, 561, 31, 554, 45, 159, 640, 130, 100, 173, 46, 718, 820, 559, 505, 180, 476, 653, 388, 61, 351, 819, 776, 116, 606, 601, 139, 739, 802, 60, 135, 6, 424, 190, 873, 459, 386, 383, 512, 757, 860, 468, 360, 131, 342, 407, 844, 60, 325, 178, 443, 450, 235, 166, 699, 111, 190, 545, 521, 421, 417, 59, 835, 675, 108, 670, 287, 77, 656, 356, 481, 195, 721, 880, 171, 263, 32, 224, 632, 641, 142, 376, 311, 42, 121, 411, 341, 576, 773, 702, 610, 203, 798, 601, 863, 280, 785, 720, 487, 388, 448, 444, 72, 519, 470, 724, 876, 596, 261, 331, 43, 171, 642, 482, 170, 748, 484, 649, 362, 131, 227, 734, 446, 43, 406, 849, 201, 674, 665, 312, 104, 381, 755, 11, 202, 381, 735, 440, 818, 796, 554, 322, 609, 867, 352, 328, 62, 2, 459, 472, 395, 667, 556, 503, 520, 764, 842, 630, 429, 673, 455, 26, 825, 235, 340, 408, 662, 726, 239, 156, 654, 659, 183, 464, 572, 223, 264, 445, 755, 624, 57, 145, 748, 224, 658, 441, 482, 800, 296, 420, 647, 263, 321, 816, 640, 443, 345, 620, 74, 425, 206, 332, 546, 197, 285, 36, 634, 459, 419, 182, 149, 147, 234, 526, 246, 250, 419, 514, 349, 454, 164, 61, 828, 674, 115, 551, 703, 299, 454, 480, 7, 647, 326, 357, 698, 371, 370, 355, 146, 17, 840, 492, 157, 273, 669, 600, 795, 95, 444, 608, 135, 276, 79, 563, 679, 814, 862, 26, 246, 792, 92, 269, 616, 83, 644, 633, 286, 562, 244, 322, 98, 386, 833, 691, 190, 1, 833, 649, 757, 265, 377, 39, 242, 91, 308, 71, 743, 309, 155, 608, 660, 484, 708, 385, 18, 116, 103, 644, 371, 622, 7, 58, 217, 673, 368, 491, 793, 341, 198, 5, 794, 69, 135, 826, 723, 405, 754, 307, 549, 624, 316, 525, 440, 874, 107, 188, 219, 398, 184, 184, 347, 317, 442, 703, 737, 205, 526, 392, 673, 693, 201, 366, 131, 178, 853, 807, 59, 821, 844, 241, 827, 244, 232, 259, 420, 877, 328, 549, 867, 29, 174, 21, 846, 338, 832, 582, 736, 516, 73, 721, 596, 406, 210, 480, 27, 19, 746, 688, 348, 774, 517, 402, 155, 744, 327, 633, 463, 789, 180, 254, 378, 176, 461, 90, 846, 159, 380, 577, 870, 22, 481, 752, 848, 568, 649, 65, 700, 374, 563, 529, 117, 376, 628, 373, 865, 468, 558, 680, 243, 642, 80, 236, 418, 758, 657, 807, 517, 368, 302, 144, 193, 112, 483, 373, 298, 719, 754, 519, 221, 314, 616, 635, 871, 128, 530, 207, 589, 677, 806, 839, 594, 62, 523, 827, 676, 838, 780, 560, 868, 345, 773, 616, 313, 324, 192, 493, 388, 410, 145, 101, 391, 648, 853, 528, 489, 16, 678, 306, 509, 700, 276, 342, 681, 209, 471, 316, 527, 564, 137, 589, 310, 760, 297, 690, 787, 3, 220, 187, 813, 778, 724, 343, 766, 873, 155, 621, 835, 466, 498, 371, 120, 377, 760, 313, 463, 59, 695, 370, 373, 513, 32, 475, 704, 389, 556, 9, 394, 372, 11, 208, 397, 613, 384, 612, 153, 200, 880, 293, 867, 40, 571, 874, 507, 292, 792, 779, 635, 511, 46, 119, 354, 774, 739, 768, 321, 793, 57, 89, 622, 319, 186, 49, 411, 254, 245, 564, 85, 699, 401, 279, 84, 648, 517, 399, 217, 403, 192, 119, 782, 753, 534, 851, 707, 504, 549, 541, 146, 266, 734, 148, 381, 566, 376, 174, 222, 177, 782, 722, 236, 169, 419, 471, 825, 754, 62, 365, 478, 443, 832, 139, 684, 582, 524, 378, 694, 560, 511, 829, 862, 530, 681, 215, 720, 515, 472, 524, 186, 414, 217, 776, 474, 301, 407, 432, 150, 239, 773, 628, 462, 341, 372, 55, 360, 456, 334, 702, 542, 877, 565, 261, 51, 879, 241, 115, 749, 305, 397, 580, 644, 626, 121, 203, 343, 79, 183, 462, 16, 698, 785, 400, 269, 215, 562, 186, 0, 593, 811, 327, 279, 685, 336, 161, 851, 775, 41, 839, 153, 592, 580, 809, 366, 509, 66, 421, 640, 370, 228, 81, 233, 856, 611, 643, 12, 498, 664, 654, 310, 820, 218, 383, 35, 531, 141, 512, 67, 769, 36, 321, 273, 639, 719, 514, 572, 541, 617, 465, 490, 160, 561, 374, 523, 552, 102, 143, 174, 320, 545, 593, 713, 505, 605, 562, 208, 733, 858, 21, 147, 29, 225, 668, 652, 393, 256, 353, 382, 602, 270, 871, 689, 628, 327, 379, 328, 665, 511, 659, 193, 72, 573, 837, 41, 454, 706, 166, 763, 1, 360, 791, 188, 841, 715, 440, 568, 60, 404, 861, 599, 746, 18, 88, 413, 794, 144, 63, 228, 364, 528, 656, 875, 232, 161, 584, 634, 355, 266, 242, 317, 851, 85, 78, 256, 550, 794, 501, 571, 442, 744, 235, 172, 828, 765, 834, 238, 278, 882, 624, 31, 191, 765, 447, 864, 338, 96, 223, 123, 424, 230, 627, 151, 632, 862, 347, 83, 20, 728, 339, 351, 467, 668, 203, 158, 497, 185, 147, 800, 769, 311, 455, 637, 541, 487, 329, 33, 763, 499, 457, 259, 183, 545, 796, 425, 3, 476, 354, 670, 787, 482, 596, 282, 27, 450, 152, 474, 251, 126, 219, 170, 728, 38, 632, 552, 448, 325, 366, 140, 362, 488, 319, 128, 442, 409, 588, 365, 120, 672, 212, 652, 852, 801, 22, 574, 426, 182, 375, 15, 781, 639, 760, 557, 671, 680, 111, 25, 766, 386, 527, 64, 275, 678, 512, 798, 276, 24, 677, 750, 606, 536, 403, 338, 514, 379, 112, 243, 48, 181, 278, 272, 257, 855, 251, 657, 533, 645, 671, 277, 654, 591, 612, 651, 691, 162, 786, 14, 73, 812, 733, 408, 570, 722, 361, 175, 757, 221, 41, 801, 631, 354, 580, 98, 559, 220, 324, 24, 202, 430, 17, 857, 663, 663, 380, 143, 364, 348, 567, 207, 738, 253, 119, 39, 262, 74, 594, 527, 815, 294, 337, 747, 18, 19, 572, 40, 500, 711, 777, 163, 814, 513, 763, 830, 856, 89, 191, 751, 819, 507, 657, 290, 51, 704, 90, 467, 706, 117, 579, 428, 850, 34, 719, 82, 700, 127, 819, 61, 390, 629, 558, 103, 666, 729, 268, 361, 211, 230, 439, 402, 272, 31, 491, 666, 434, 650, 270, 65, 95, 209, 113, 755, 707, 21, 125, 609, 35, 206, 406, 278, 825, 346, 177, 282, 434, 678, 14, 149, 576, 87, 161, 542, 194, 439, 88, 633, 463, 544, 550, 753, 525, 585, 747, 227, 590, 810, 558, 22, 736, 789, 478, 110, 358, 599, 156, 723, 282}

    Returns: {0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1 }

  65. 900

    {18, 756, 186, 145, 525, 407, 862, 876, 845, 311, 525, 36, 690, 543, 721, 775, 209, 630, 746, 433, 333, 805, 301, 519, 472, 37, 844, 807, 421, 340, 609, 674, 252, 448, 548, 739, 766, 17, 218, 570, 225, 153, 772, 250, 186, 488, 71, 890, 428, 47, 868, 719, 894, 94, 46, 197, 363, 611, 482, 802, 269, 530, 845, 754, 504, 83, 725, 548, 287, 582, 218, 595, 89, 755, 812, 178, 763, 700, 343, 745, 731, 439, 386, 801, 173, 407, 653, 311, 609, 106, 442, 177, 86, 250, 316, 792, 393, 38, 413, 242, 835, 614, 723, 355, 458, 429, 611, 462, 272, 244, 157, 270, 566, 344, 464, 520, 25, 649, 674, 223, 459, 315, 799, 272, 493, 710, 678, 648, 868, 875, 763, 398, 46, 707, 853, 408, 541, 167, 287, 816, 455, 88, 265, 241, 849, 365, 727, 434, 401, 748, 416, 218, 169, 690, 141, 470, 397, 104, 391, 482, 577, 441, 77, 467, 327, 65, 779, 745, 824, 143, 576, 387, 735, 636, 760, 300, 224, 50, 423, 157, 197, 754, 473, 809, 823, 10, 414, 452, 124, 605, 485, 415, 424, 789, 380, 99, 266, 492, 248, 334, 551, 308, 857, 610, 610, 219, 112, 240, 457, 764, 387, 696, 219, 893, 652, 558, 497, 351, 435, 855, 401, 886, 332, 654, 825, 584, 588, 182, 634, 661, 720, 45, 697, 487, 86, 758, 112, 226, 119, 472, 544, 620, 821, 855, 328, 464, 49, 89, 705, 196, 141, 308, 583, 301, 736, 120, 410, 811, 623, 341, 658, 254, 143, 436, 898, 676, 9, 643, 781, 663, 694, 442, 788, 718, 353, 770, 263, 606, 169, 96, 22, 837, 658, 677, 793, 425, 426, 847, 838, 461, 476, 220, 215, 720, 540, 185, 236, 403, 432, 182, 887, 813, 55, 245, 884, 431, 139, 50, 732, 551, 508, 302, 694, 586, 558, 687, 741, 266, 438, 643, 648, 865, 223, 260, 786, 110, 394, 464, 790, 373, 884, 156, 881, 307, 639, 230, 686, 321, 7, 134, 223, 550, 835, 426, 51, 671, 729, 206, 344, 779, 13, 140, 80, 513, 116, 293, 422, 149, 841, 415, 634, 134, 227, 180, 145, 268, 833, 459, 74, 580, 54, 823, 171, 628, 848, 848, 773, 39, 682, 254, 892, 200, 519, 60, 157, 499, 282, 215, 351, 127, 379, 607, 563, 335, 507, 45, 691, 476, 627, 292, 629, 542, 600, 239, 104, 148, 707, 867, 743, 442, 183, 136, 811, 843, 237, 208, 524, 721, 880, 515, 757, 55, 432, 69, 841, 460, 375, 807, 0, 459, 83, 343, 879, 653, 811, 507, 112, 250, 809, 216, 522, 278, 419, 150, 620, 751, 394, 491, 505, 19, 367, 726, 714, 52, 446, 514, 236, 825, 110, 198, 500, 0, 478, 849, 179, 322, 247, 217, 332, 376, 107, 268, 5, 687, 480, 470, 278, 736, 663, 503, 783, 101, 466, 377, 64, 787, 821, 80, 603, 870, 522, 536, 555, 851, 84, 178, 550, 831, 798, 635, 479, 484, 740, 525, 450, 133, 60, 777, 428, 126, 703, 449, 819, 540, 364, 320, 685, 810, 118, 744, 670, 713, 534, 533, 256, 772, 292, 179, 656, 485, 39, 785, 545, 29, 898, 191, 541, 273, 10, 497, 673, 528, 21, 554, 624, 261, 71, 90, 213, 445, 847, 808, 890, 531, 790, 455, 371, 363, 515, 433, 121, 300, 771, 689, 721, 198, 238, 59, 277, 705, 787, 780, 388, 641, 826, 473, 391, 585, 344, 201, 763, 456, 290, 543, 538, 817, 139, 569, 587, 783, 452, 859, 140, 347, 692, 738, 80, 314, 242, 776, 892, 536, 865, 812, 798, 111, 40, 167, 524, 286, 108, 171, 265, 317, 84, 285, 866, 203, 553, 875, 397, 875, 162, 259, 128, 590, 774, 843, 565, 338, 693, 899, 871, 13, 196, 431, 646, 453, 755, 537, 290, 631, 710, 837, 834, 552, 211, 520, 53, 404, 504, 194, 522, 165, 116, 260, 446, 794, 206, 801, 596, 483, 674, 665, 534, 99, 68, 323, 708, 856, 135, 712, 872, 520, 527, 202, 858, 789, 544, 672, 381, 328, 897, 846, 231, 168, 863, 857, 703, 165, 562, 495, 506, 216, 601, 139, 318, 823, 94, 317, 325, 170, 293, 616, 149, 148, 220, 277, 758, 860, 856, 493, 113, 757, 28, 306, 677, 490, 61, 697, 462, 74, 788, 85, 382, 399, 289, 111, 610, 670, 149, 44, 339, 3, 717, 859, 138, 794, 579, 767, 535, 53, 398, 880, 789, 383, 8, 340, 680, 705, 181, 641, 207, 320, 779, 708, 353, 463, 765, 106, 821, 564, 840, 440, 764, 398, 805, 876, 660, 117, 605, 551, 222, 235, 411, 465, 630, 355, 612, 627, 752, 891, 586, 57, 412, 656, 818, 350, 723, 164, 591, 33, 897, 614, 518, 117, 764, 507, 249, 840, 367, 611, 477, 477, 325, 72, 385, 640, 189, 28, 481, 762, 592, 846, 274, 32, 719, 350, 82, 781, 780, 428, 129, 760, 692, 865, 528, 501, 383, 118, 654, 858, 722, 316, 744, 836, 621, 751, 9, 761, 729, 700, 185, 713, 194, 647, 825, 786, 684, 461, 567, 491, 128, 227, 894, 805, 589, 95, 791, 645, 796, 427, 808, 787, 867, 109, 224, 505, 362, 587, 26, 81, 429, 480, 263, 252, 571, 651, 165, 387, 748, 227, 209, 421, 503, 748, 310, 444, 443, 142, 566, 372, 786, 852, 183, 222, 294, 726, 258, 807, 704, 857, 466, 672, 204, 620, 200, 623, 374, 529, 308, 640, 28, 164, 422, 567, 761, 642, 124, 591, 76, 783, 229, 598, 487, 882, 362, 636, 762, 208, 440, 484, 127, 405, 205, 252, 740, 433, 579, 281, 584, 54, 598, 467, 695, 394, 319, 55, 338, 782, 46, 255, 781, 221, 724, 270, 880, 34, 734, 75, 638, 883, 672, 668, 173, 186, 321, 347, 648, 214, 337, 110, 576, 175, 319, 25, 591, 123, 534, 741, 784, 554, 808, 706, 43, 460, 287, 585, 838, 571, 384, 822, 535, 351, 612, 717, 447, 735, 230, 589, 834, 383, 847, 698, 515, 267, 532, 460, 888, 885, 642, 222, 315, 881, 176, 489, 704, 23, 665, 400, 602, 268, 201, 536, 205, 244, 804, 517, 99, 444, 389, 689, 140, 687, 503, 43, 671, 355, 559, 25, 658, 691, 715, 5, 221, 321, 623, 636, 511, 42, 197, 364, 889, 710, 303, 264, 396, 813, 617, 36, 732, 171, 278, 726, 232, 666, 563, 87, 539, 685, 339, 75, 358, 899, 419, 768, 179, 790, 676, 395, 627, 604, 273, 212, 108, 102, 199, 510, 641, 164, 770, 680, 258, 86, 141, 209, 407, 380, 468, 638, 267, 548, 237, 62, 881, 559, 667, 424, 65, 473, 249, 409, 898, 168, 776, 742, 439, 435, 580, 446, 172, 590, 16, 246, 776, 33, 543, 484, 747, 363, 741, 63, 176, 767, 478, 190, 58, 804, 273, 58, 251, 14, 497, 462, 346, 697, 144, 560, 309, 348, 820, 372, 153, 666, 425, 454, 416, 448, 839, 671, 818, 245, 730, 886, 73, 286, 775, 410, 502, 234, 718, 583, 360, 1, 792, 188, 491, 485, 318, 600, 702, 57, 801, 854, 266, 299, 631, 405, 38, 84, 41, 812, 418, 588, 349, 575, 791, 635, 73, 571, 659, 607, 624, 334, 251, 816, 598, 523, 100, 448, 802, 899, 527, 304, 270, 735, 365, 565, 878, 871, 96, 359, 27, 346, 190, 204, 114, 617, 791, 189, 830, 719, 399, 893, 678, 757, 257, 595, 34, 733, 673, 318, 732, 151, 458, 134, 241, 376, 826, 303, 307, 483, 277, 828, 36, 768, 756, 244, 872, 48, 375, 284, 810, 835, 176, 274, 275, 87, 137, 743, 447, 229, 560, 332, 633, 813, 337, 210, 625, 417, 14, 528, 500, 411, 192, 647, 871, 486, 411, 11, 180, 788, 869, 539, 113, 100, 861, 105, 302, 143, 42, 30, 3, 526, 56, 608, 204, 496, 629, 638, 115, 494, 181, 158, 840, 444, 24, 68, 18, 235, 311, 382, 421, 202, 463, 659, 323, 702, 665, 301, 474, 281, 711, 466, 368, 237, 700, 456, 778, 585, 770, 824, 476, 720, 544, 842, 59, 404, 709, 523}

    {777, 291, 172, 862, 879, 152, 132, 802, 67, 16, 402, 76, 39, 747, 628, 349, 592, 430, 16, 833, 274, 441, 559, 702, 632, 299, 226, 846, 27, 850, 736, 327, 799, 335, 588, 305, 331, 563, 554, 406, 546, 137, 58, 240, 616, 174, 632, 778, 23, 652, 660, 858, 502, 822, 340, 61, 450, 385, 815, 384, 467, 708, 443, 574, 91, 182, 13, 542, 673, 624, 771, 749, 283, 160, 148, 660, 734, 861, 479, 569, 293, 138, 829, 386, 125, 71, 147, 682, 146, 601, 729, 70, 436, 724, 285, 753, 7, 93, 4, 432, 166, 546, 738, 453, 699, 457, 326, 435, 693, 427, 24, 127, 256, 771, 718, 526, 493, 4, 38, 593, 599, 604, 313, 882, 370, 596, 508, 853, 37, 360, 863, 486, 850, 361, 357, 111, 248, 818, 686, 280, 102, 450, 361, 19, 564, 63, 229, 683, 93, 540, 6, 92, 330, 354, 535, 247, 877, 20, 114, 832, 834, 803, 594, 796, 195, 508, 284, 345, 657, 696, 655, 853, 372, 162, 889, 391, 689, 166, 613, 438, 119, 666, 129, 404, 279, 699, 725, 330, 335, 336, 780, 123, 47, 755, 173, 679, 879, 31, 129, 11, 589, 417, 5, 793, 412, 296, 107, 159, 369, 396, 481, 752, 594, 56, 424, 379, 767, 758, 650, 657, 693, 259, 105, 247, 553, 298, 228, 413, 474, 480, 645, 144, 637, 669, 562, 495, 189, 622, 325, 190, 698, 838, 862, 827, 175, 406, 163, 226, 552, 233, 103, 539, 161, 135, 146, 622, 561, 743, 199, 650, 640, 368, 501, 765, 121, 216, 555, 662, 854, 264, 657, 667, 506, 451, 645, 560, 870, 279, 621, 575, 463, 30, 413, 22, 669, 312, 716, 168, 70, 81, 118, 399, 449, 891, 795, 706, 512, 472, 815, 649, 509, 57, 643, 796, 769, 348, 731, 839, 306, 830, 356, 668, 824, 437, 492, 669, 37, 126, 390, 568, 87, 282, 263, 417, 205, 509, 79, 570, 294, 202, 717, 629, 646, 288, 716, 723, 207, 431, 153, 869, 532, 304, 167, 848, 617, 85, 343, 255, 175, 210, 414, 120, 785, 523, 695, 133, 695, 423, 132, 675, 516, 685, 492, 368, 538, 7, 849, 44, 737, 288, 577, 606, 582, 2, 596, 400, 833, 354, 561, 253, 836, 662, 15, 6, 220, 187, 874, 436, 604, 35, 31, 626, 842, 728, 217, 556, 147, 154, 814, 196, 806, 228, 6, 59, 18, 516, 637, 73, 97, 479, 310, 339, 97, 324, 552, 498, 386, 347, 429, 423, 161, 568, 601, 103, 145, 345, 517, 329, 178, 600, 187, 667, 402, 691, 21, 894, 475, 885, 296, 238, 61, 225, 69, 612, 177, 66, 359, 457, 545, 271, 626, 289, 677, 714, 749, 895, 243, 836, 887, 804, 402, 618, 156, 773, 861, 679, 816, 291, 483, 67, 475, 489, 392, 487, 529, 280, 468, 264, 48, 371, 794, 392, 295, 78, 597, 219, 538, 359, 664, 593, 576, 704, 246, 305, 12, 618, 82, 12, 753, 777, 262, 65, 510, 500, 100, 737, 416, 104, 855, 727, 420, 43, 690, 895, 271, 602, 276, 698, 418, 581, 496, 797, 649, 893, 362, 385, 233, 14, 498, 240, 819, 651, 711, 295, 537, 272, 30, 107, 458, 739, 298, 754, 97, 354, 819, 193, 152, 581, 864, 670, 844, 144, 306, 183, 303, 441, 239, 26, 792, 514, 72, 521, 92, 396, 2, 619, 369, 371, 26, 762, 77, 159, 740, 545, 234, 322, 521, 606, 62, 284, 77, 401, 513, 309, 132, 749, 74, 345, 98, 85, 169, 146, 283, 233, 331, 593, 651, 625, 815, 8, 138, 102, 842, 592, 517, 358, 850, 76, 829, 64, 245, 774, 439, 114, 831, 198, 733, 688, 892, 142, 201, 490, 683, 260, 747, 313, 582, 353, 231, 465, 456, 482, 561, 51, 304, 419, 338, 1, 874, 568, 854, 415, 639, 662, 54, 122, 518, 873, 496, 296, 860, 98, 655, 333, 8, 163, 595, 352, 314, 829, 184, 769, 195, 48, 83, 567, 279, 295, 701, 681, 131, 290, 225, 425, 686, 333, 750, 874, 766, 603, 35, 577, 135, 329, 412, 283, 734, 392, 22, 744, 329, 94, 533, 557, 242, 133, 314, 68, 896, 746, 709, 258, 150, 172, 555, 800, 390, 243, 896, 91, 509, 98, 374, 583, 422, 67, 52, 360, 655, 115, 341, 150, 109, 352, 621, 438, 152, 799, 231, 852, 246, 599, 659, 208, 742, 79, 265, 288, 193, 440, 297, 66, 381, 369, 282, 527, 572, 40, 844, 122, 31, 782, 547, 803, 397, 319, 891, 703, 215, 453, 841, 194, 193, 739, 224, 269, 320, 572, 0, 358, 760, 549, 334, 437, 374, 646, 366, 23, 737, 230, 350, 324, 137, 241, 565, 12, 203, 696, 814, 155, 105, 512, 275, 872, 302, 313, 32, 170, 312, 579, 607, 45, 121, 530, 889, 477, 715, 499, 626, 116, 550, 122, 800, 797, 373, 356, 750, 722, 481, 327, 573, 827, 541, 336, 810, 17, 95, 750, 298, 154, 232, 147, 367, 490, 373, 553, 452, 53, 156, 516, 262, 191, 155, 51, 587, 310, 21, 342, 60, 866, 336, 557, 253, 379, 291, 286, 830, 574, 828, 324, 108, 221, 772, 594, 664, 161, 356, 684, 566, 564, 243, 10, 557, 136, 814, 408, 869, 405, 90, 82, 514, 181, 661, 630, 239, 895, 251, 454, 890, 370, 366, 257, 489, 445, 608, 267, 78, 445, 502, 562, 455, 101, 323, 377, 471, 70, 837, 628, 888, 661, 49, 212, 213, 706, 864, 679, 634, 795, 728, 211, 203, 352, 214, 860, 125, 191, 366, 683, 701, 41, 851, 494, 20, 785, 644, 117, 162, 773, 261, 212, 207, 160, 91, 486, 572, 859, 701, 537, 234, 832, 40, 694, 712, 742, 885, 381, 395, 759, 635, 586, 883, 271, 867, 809, 389, 27, 297, 2, 357, 34, 753, 856, 675, 62, 530, 370, 518, 631, 499, 878, 547, 92, 556, 155, 795, 569, 547, 714, 177, 725, 864, 315, 409, 822, 731, 769, 488, 615, 532, 549, 160, 784, 622, 331, 613, 639, 738, 745, 113, 768, 449, 400, 495, 465, 542, 342, 597, 827, 115, 184, 597, 393, 210, 64, 342, 158, 285, 337, 322, 820, 380, 494, 680, 793, 831, 642, 608, 1, 131, 142, 281, 151, 326, 521, 158, 409, 232, 434, 663, 214, 709, 730, 605, 426, 575, 609, 578, 19, 713, 50, 376, 526, 614, 852, 199, 188, 41, 357, 163, 280, 573, 437, 590, 782, 297, 724, 378, 96, 395, 238, 870, 896, 47, 187, 644, 803, 654, 388, 711, 185, 488, 89, 217, 765, 348, 529, 289, 125, 546, 364, 11, 228, 388, 328, 887, 897, 262, 389, 32, 248, 513, 103, 72, 120, 384, 884, 361, 341, 307, 817, 375, 408, 317, 9, 876, 826, 254, 678, 180, 88, 299, 346, 866, 305, 806, 403, 715, 619, 652, 556, 647, 378, 851, 650, 365, 707, 326, 447, 253, 69, 454, 615, 393, 95, 873, 382, 684, 728, 688, 531, 166, 644, 130, 49, 377, 602, 730, 759, 756, 33, 406, 806, 316, 106, 613, 574, 676, 159, 625, 599, 828, 130, 524, 712, 727, 868, 675, 63, 195, 656, 3, 800, 154, 330, 130, 664, 519, 863, 294, 414, 136, 722, 774, 184, 451, 470, 504, 312, 88, 124, 213, 832, 584, 292, 35, 257, 681, 403, 471, 410, 78, 79, 430, 681, 632, 235, 300, 797, 192, 475, 549, 501, 24, 506, 578, 109, 615, 817, 42, 461, 784, 101, 443, 653, 81, 276, 883, 778, 512, 603, 56, 469, 236, 15, 688, 123, 170, 570, 468, 511, 616, 877, 766, 839, 733, 90, 131, 66, 75, 420, 633, 126, 174, 469, 174, 349, 798, 877, 206, 886, 619, 188, 699, 44, 15, 451, 682, 269, 888, 716, 309, 533, 276, 259, 474, 256, 378, 469, 211, 752, 759, 200, 498, 873, 580, 531, 878, 751, 478, 775, 637, 578, 558, 427, 261, 434, 390, 618, 20, 471, 746, 820, 430, 581, 420, 573, 29, 192, 511, 275, 761, 4, 505, 29, 128, 510, 882, 93, 845, 52, 633, 255, 418, 843, 692, 17, 151, 668, 119, 249}

    Returns: {0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1 }

  66. 828

    {780, 264, 434, 9, 550, 416, 93, 615, 446, 402, 688, 165, 790, 358, 722, 338, 752, 346, 538, 33, 80, 785, 626, 79, 818, 75, 106, 825, 201, 615, 821, 165, 685, 523, 210, 534, 257, 283, 55, 112, 218, 478, 778, 714, 161, 306, 751, 244, 314, 431, 291, 158, 63, 818, 66, 389, 394, 338, 749, 575, 111, 683, 608, 260, 341, 261, 584, 24, 367, 551, 710, 92, 803, 103, 584, 640, 433, 582, 626, 376, 430, 195, 157, 387, 297, 568, 348, 92, 313, 438, 543, 549, 726, 655, 692, 454, 712, 455, 723, 678, 490, 818, 147, 246, 672, 111, 57, 446, 246, 321, 174, 663, 654, 233, 483, 524, 289, 824, 527, 125, 272, 90, 690, 587, 601, 308, 267, 182, 246, 739, 465, 344, 458, 184, 704, 102, 277, 701, 231, 331, 335, 739, 352, 178, 173, 164, 824, 654, 696, 332, 109, 406, 342, 200, 536, 396, 402, 300, 308, 494, 108, 202, 95, 427, 387, 566, 728, 364, 146, 450, 222, 48, 815, 682, 479, 43, 489, 417, 344, 84, 470, 772, 341, 80, 371, 389, 76, 318, 188, 585, 257, 223, 604, 698, 120, 128, 184, 39, 97, 569, 322, 32, 286, 645, 768, 358, 322, 210, 487, 305, 142, 266, 543, 724, 78, 267, 807, 807, 137, 116, 518, 449, 84, 384, 716, 539, 308, 544, 146, 151, 126, 776, 646, 703, 200, 70, 431, 328, 208, 328, 464, 391, 598, 83, 399, 198, 375, 457, 647, 115, 800, 278, 77, 752, 413, 378, 88, 225, 520, 669, 798, 770, 75, 460, 548, 526, 194, 524, 686, 732, 72, 332, 227, 737, 400, 788, 244, 426, 540, 647, 659, 806, 343, 229, 402, 185, 519, 153, 696, 251, 150, 313, 377, 519, 528, 35, 543, 650, 388, 154, 539, 176, 23, 349, 254, 398, 366, 776, 453, 295, 774, 756, 608, 395, 356, 213, 451, 820, 451, 469, 795, 291, 47, 247, 233, 296, 171, 729, 767, 291, 1, 397, 127, 261, 541, 512, 480, 465, 11, 272, 471, 785, 231, 614, 789, 550, 782, 809, 570, 675, 363, 90, 514, 599, 715, 375, 528, 454, 132, 473, 327, 47, 637, 329, 459, 195, 432, 644, 685, 325, 475, 709, 287, 688, 273, 251, 754, 592, 659, 102, 22, 307, 460, 561, 292, 717, 193, 351, 452, 612, 4, 737, 396, 12, 708, 682, 625, 749, 145, 474, 631, 775, 742, 504, 612, 411, 418, 293, 62, 784, 282, 140, 641, 87, 447, 462, 385, 723, 435, 292, 457, 278, 243, 773, 766, 609, 428, 6, 17, 815, 713, 162, 656, 302, 513, 368, 243, 152, 178, 1, 815, 84, 197, 30, 341, 79, 424, 71, 251, 702, 347, 401, 466, 657, 263, 645, 444, 633, 468, 389, 749, 179, 101, 218, 500, 801, 810, 766, 792, 239, 410, 662, 646, 102, 398, 596, 574, 644, 571, 820, 768, 521, 121, 485, 677, 464, 552, 73, 87, 499, 625, 660, 463, 687, 331, 68, 602, 405, 783, 526, 512, 480, 12, 734, 705, 751, 683, 664, 8, 812, 591, 113, 718, 734, 641, 20, 447, 201, 329, 631, 616, 607, 786, 117, 669, 591, 323, 354, 69, 445, 732, 215, 789, 555, 182, 80, 630, 29, 204, 99, 58, 187, 41, 219, 809, 592, 811, 723, 175, 522, 721, 575, 519, 455, 213, 136, 131, 705, 415, 658, 355, 156, 232, 316, 13, 780, 776, 241, 284, 499, 337, 37, 137, 514, 455, 46, 172, 711, 496, 405, 813, 698, 382, 777, 9, 63, 635, 325, 733, 370, 745, 186, 224, 103, 703, 51, 388, 761, 537, 803, 540, 194, 4, 239, 635, 46, 289, 5, 159, 730, 371, 299, 434, 229, 725, 606, 619, 424, 422, 179, 319, 758, 204, 824, 214, 686, 762, 494, 798, 57, 472, 273, 207, 403, 594, 754, 315, 233, 211, 411, 208, 248, 541, 13, 623, 632, 100, 319, 420, 207, 492, 410, 288, 722, 173, 299, 744, 25, 321, 120, 600, 549, 637, 624, 672, 52, 165, 241, 775, 559, 326, 468, 421, 253, 310, 530, 381, 113, 24, 82, 800, 799, 237, 398, 2, 544, 707, 335, 47, 650, 301, 573, 53, 696, 146, 317, 463, 52, 464, 180, 421, 277, 66, 315, 686, 804, 576, 287, 649, 238, 406, 444, 234, 603, 760, 379, 118, 563, 382, 439, 320, 735, 316, 745, 357, 540, 518, 164, 325, 582, 524, 718, 297, 228, 392, 610, 140, 742, 199, 791, 3, 347, 571, 128, 333, 449, 287, 705, 623, 641, 178, 302, 678, 552, 790, 196, 443, 577, 687, 35, 445, 423, 463, 68, 502, 50, 305, 554, 732, 562, 92, 60, 14, 744, 536, 163, 328, 70, 312, 581, 191, 8, 591, 42, 2, 412, 489, 3, 153, 534, 551, 689, 739, 57, 151, 98, 76, 797, 773, 459, 56, 242, 492, 799, 582, 429, 675, 535, 27, 190, 719, 217, 648, 685, 44, 522, 226, 26, 529, 378, 677, 796, 193, 622, 273, 258, 59, 286, 451, 34, 211, 95, 530, 406, 104, 253, 783, 511, 756, 195, 136, 680, 735, 156, 502, 649, 61, 31, 423, 311, 140, 806, 546, 726, 353, 433, 129, 823, 203, 337, 29, 113, 369, 212, 758, 721, 613, 243, 10, 128, 475, 589, 515, 320, 525, 813, 219, 124, 559, 359, 633, 28, 166, 391, 597, 785, 14, 186, 10, 97, 491, 155, 767, 495, 735, 608, 758, 816, 499, 620, 644, 87, 45, 203, 279, 10, 330, 217, 399, 366, 741, 649, 624, 60, 827, 226, 131, 420, 478, 526, 579, 456, 330, 176, 558, 762, 327, 445, 285, 580, 473, 493, 11, 279, 142, 558, 58, 168, 744, 503, 344, 237, 775, 542, 494, 247, 134, 220, 482, 131, 201, 17, 351, 667, 507, 50, 220, 31, 44, 809, 296, 36, 151, 20, 238, 581, 420, 377, 724, 692, 481, 774, 769, 799, 2, 392, 643, 444, 791, 152, 127, 759, 122, 794, 503, 276, 372, 720, 386, 307, 563, 408, 409, 748, 509, 141, 20, 304, 611, 129, 502, 46, 561, 453, 709, 572, 736, 746, 747, 283, 333, 34, 258, 384, 539, 706, 587, 458, 743, 496, 584, 774, 629, 271, 697, 82, 462, 179, 230, 746, 73, 497, 145, 135, 362, 789, 417, 312, 806, 626, 9, 357, 345, 272, 109, 624, 458, 426, 329, 309, 334, 318, 357, 666, 664, 44, 23, 598, 715, 697, 738, 743, 495, 374, 601, 425, 267, 432, 430, 280, 403, 39, 754, 663, 169, 646, 422, 250, 332, 740, 605, 699, 322, 45, 651, 674, 529, 182, 317, 282, 797, 293, 425, 349, 580, 133, 351, 618, 625, 8, 64, 755, 528, 221, 454, 208, 282, 446, 14, 618, 706, 579, 118, 653, 147, 278, 535, 52, 100, 492, 466, 255, 153, 26, 189, 434, 28, 428, 314, 395, 456, 205, 680, 27, 537, 491, 220, 277, 314, 188, 149, 395, 133, 51, 257, 771, 596, 118, 352, 152, 49, 606, 564, 304, 280, 681, 560, 99, 712, 534, 821, 592, 17, 544, 107, 88, 390, 730, 675, 438, 388, 358, 716, 661, 345, 747, 376, 503, 271, 449, 108, 58, 459, 747, 795, 407, 74, 168, 396, 224, 520, 670, 666, 163, 392, 521, 483, 823, 393, 183, 292, 650, 547, 407, 125, 439, 493, 687, 654, 170, 770, 766, 60, 594, 632, 202, 485, 222, 587, 623, 545, 480, 559, 13, 713, 741, 599, 155, 241, 235, 731, 820, 276, 630, 565, 91, 199, 154, 482, 15, 788, 375}

    {769, 249, 21, 586, 63, 583, 577, 589, 532, 812, 183, 506, 174, 541, 403, 365, 538, 779, 270, 679, 33, 657, 97, 242, 284, 323, 268, 110, 61, 542, 784, 741, 262, 488, 215, 200, 487, 143, 218, 23, 190, 143, 274, 578, 530, 436, 390, 25, 564, 822, 94, 590, 216, 471, 563, 647, 736, 718, 90, 639, 288, 578, 737, 621, 368, 490, 297, 701, 203, 139, 756, 310, 673, 469, 67, 645, 53, 355, 372, 21, 255, 786, 21, 116, 611, 504, 409, 730, 161, 324, 132, 235, 88, 320, 808, 781, 187, 77, 31, 773, 360, 215, 802, 346, 269, 663, 104, 807, 768, 440, 556, 695, 206, 185, 232, 691, 788, 567, 134, 101, 777, 671, 0, 474, 690, 430, 6, 189, 779, 665, 209, 725, 786, 589, 110, 481, 170, 361, 472, 593, 177, 247, 6, 497, 134, 49, 285, 115, 124, 331, 545, 672, 676, 0, 306, 610, 163, 691, 255, 260, 191, 385, 510, 236, 198, 96, 119, 441, 254, 19, 149, 192, 669, 348, 259, 802, 169, 562, 70, 367, 781, 380, 816, 82, 733, 270, 750, 572, 787, 448, 306, 552, 578, 771, 225, 529, 245, 517, 30, 787, 825, 85, 601, 295, 779, 363, 734, 738, 383, 223, 554, 679, 207, 262, 144, 512, 717, 345, 427, 764, 812, 523, 43, 160, 804, 412, 763, 716, 590, 311, 495, 176, 28, 260, 228, 456, 733, 223, 498, 171, 551, 704, 607, 16, 500, 764, 91, 265, 56, 206, 123, 135, 708, 67, 615, 137, 784, 777, 658, 380, 621, 693, 65, 397, 365, 570, 72, 164, 99, 381, 259, 348, 304, 261, 96, 728, 599, 628, 75, 67, 387, 316, 506, 177, 1, 130, 426, 159, 427, 288, 676, 64, 486, 483, 296, 74, 214, 607, 588, 77, 712, 330, 655, 253, 158, 485, 472, 585, 707, 595, 771, 652, 69, 32, 639, 516, 369, 689, 66, 240, 115, 525, 440, 560, 130, 673, 826, 383, 709, 715, 148, 105, 562, 69, 373, 352, 704, 315, 513, 225, 210, 661, 573, 274, 294, 216, 365, 751, 727, 188, 373, 580, 676, 586, 525, 728, 753, 482, 652, 765, 252, 435, 110, 416, 37, 478, 681, 536, 204, 437, 700, 642, 54, 643, 515, 757, 217, 816, 764, 553, 167, 159, 167, 16, 648, 300, 324, 560, 212, 362, 629, 360, 415, 517, 154, 762, 346, 117, 290, 745, 107, 68, 516, 127, 810, 527, 54, 372, 343, 726, 356, 186, 605, 175, 30, 577, 418, 191, 54, 221, 474, 197, 542, 355, 26, 414, 166, 442, 667, 772, 557, 269, 631, 576, 305, 276, 413, 425, 602, 374, 166, 386, 148, 510, 794, 760, 505, 787, 596, 621, 359, 614, 634, 313, 414, 565, 36, 180, 184, 611, 172, 579, 765, 796, 347, 808, 668, 106, 757, 42, 731, 550, 19, 522, 264, 792, 600, 729, 256, 384, 805, 40, 546, 342, 740, 55, 513, 401, 53, 618, 547, 665, 379, 819, 32, 400, 222, 651, 436, 410, 442, 637, 793, 391, 114, 117, 194, 290, 422, 148, 174, 295, 15, 144, 431, 561, 275, 29, 583, 603, 192, 688, 89, 671, 428, 286, 65, 122, 360, 695, 505, 471, 633, 160, 571, 266, 61, 477, 62, 86, 407, 40, 694, 394, 475, 252, 628, 760, 181, 462, 501, 356, 811, 708, 250, 782, 600, 50, 510, 350, 817, 130, 477, 112, 514, 123, 759, 496, 819, 699, 583, 486, 124, 239, 36, 238, 700, 303, 627, 162, 523, 484, 729, 120, 244, 662, 81, 93, 380, 258, 707, 520, 132, 334, 702, 71, 549, 86, 122, 791, 323, 479, 281, 264, 667, 711, 119, 803, 498, 461, 772, 814, 157, 301, 590, 340, 823, 381, 24, 414, 181, 411, 724, 100, 224, 359, 409, 702, 703, 473, 635, 248, 710, 805, 364, 205, 429, 156, 614, 173, 394, 298, 216, 42, 504, 342, 567, 433, 4, 652, 748, 585, 230, 805, 617, 643, 634, 263, 418, 126, 199, 588, 78, 452, 555, 778, 62, 298, 141, 271, 442, 245, 259, 554, 256, 721, 505, 661, 59, 312, 780, 290, 616, 632, 479, 460, 457, 748, 202, 183, 335, 81, 181, 378, 606, 466, 336, 73, 190, 294, 604, 226, 105, 755, 761, 105, 436, 385, 401, 711, 797, 706, 506, 508, 531, 336, 660, 22, 487, 817, 112, 755, 694, 309, 581, 65, 197, 532, 279, 678, 717, 408, 752, 556, 432, 275, 507, 213, 370, 5, 310, 86, 720, 656, 196, 813, 491, 443, 450, 371, 149, 383, 192, 171, 228, 318, 781, 437, 284, 412, 792, 664, 697, 634, 548, 746, 826, 349, 424, 39, 613, 147, 659, 317, 576, 374, 11, 254, 33, 240, 79, 701, 690, 249, 714, 339, 301, 189, 219, 620, 796, 160, 660, 101, 810, 700, 736, 555, 653, 572, 270, 108, 169, 674, 48, 209, 71, 668, 78, 139, 767, 699, 18, 234, 476, 93, 441, 106, 107, 236, 670, 493, 38, 753, 619, 713, 361, 556, 804, 324, 7, 293, 501, 651, 765, 533, 382, 477, 214, 89, 138, 18, 429, 185, 408, 558, 628, 531, 121, 612, 658, 655, 476, 627, 684, 175, 533, 662, 769, 416, 630, 595, 167, 821, 180, 161, 461, 83, 497, 603, 390, 468, 619, 41, 94, 488, 76, 236, 421, 399, 617, 19, 822, 825, 677, 64, 198, 350, 12, 415, 435, 518, 642, 143, 465, 490, 617, 252, 693, 0, 302, 319, 731, 386, 553, 793, 759, 693, 761, 81, 234, 274, 212, 802, 144, 594, 574, 629, 89, 45, 586, 340, 570, 448, 778, 593, 123, 111, 567, 98, 125, 55, 826, 481, 509, 7, 419, 656, 400, 74, 340, 48, 96, 413, 798, 665, 294, 439, 443, 285, 232, 573, 38, 231, 350, 393, 653, 242, 121, 98, 753, 636, 535, 16, 303, 103, 281, 196, 343, 801, 437, 484, 800, 423, 683, 404, 598, 636, 673, 15, 568, 727, 419, 368, 187, 794, 275, 461, 367, 750, 369, 138, 85, 489, 547, 566, 83, 18, 538, 819, 338, 303, 622, 265, 719, 333, 498, 470, 801, 126, 37, 438, 557, 405, 109, 245, 453, 640, 668, 298, 56, 698, 281, 714, 379, 679, 553, 25, 757, 114, 211, 793, 674, 638, 743, 527, 517, 266, 41, 447, 609, 469, 300, 363, 339, 157, 565, 511, 337, 265, 240, 486, 334, 227, 546, 145, 694, 814, 94, 336, 34, 311, 283, 638, 620, 782, 326, 404, 763, 537, 740, 417, 684, 230, 177, 450, 361, 742, 85, 722, 822, 684, 827, 727, 269, 476, 508, 133, 141, 575, 689, 610, 548, 533, 172, 720, 193, 205, 509, 59, 657, 209, 622, 666, 393, 307, 639, 49, 116, 770, 636, 609, 670, 817, 557, 155, 362, 7, 642, 229, 566, 763, 750, 268, 256, 376, 516, 605, 280, 593, 158, 353, 227, 827, 467, 440, 237, 364, 467, 51, 602, 682, 613, 569, 783, 484, 695, 597, 326, 136, 691, 725, 419, 221, 354, 404, 38, 500, 545, 790, 452, 327, 366, 22, 168, 627, 671, 3, 569, 738, 235, 373, 397, 595, 532, 692, 501, 521, 604, 488, 531, 354, 377, 808, 206, 467, 339, 508, 95, 710, 507, 597, 648, 135, 681, 35, 511, 515, 470, 814, 680, 299, 142, 564, 104, 616, 139, 129, 795, 441, 353, 268, 43, 170, 249, 321, 150, 719, 309, 568, 40, 27, 72, 150, 370, 262, 263, 638, 248, 588, 448, 162, 5, 811, 640, 119, 574, 250, 114, 138, 91, 289}

    Returns: {1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1 }

  67. 880

    {638, 193, 231, 30, 451, 675, 386, 519, 183, 469, 690, 140, 307, 521, 83, 871, 495, 534, 281, 35, 287, 695, 17, 750, 70, 767, 591, 811, 581, 52, 805, 251, 814, 560, 402, 300, 201, 267, 720, 427, 37, 687, 256, 719, 221, 572, 609, 618, 512, 733, 562, 271, 357, 687, 457, 359, 103, 364, 514, 731, 460, 161, 8, 18, 728, 755, 102, 65, 704, 305, 565, 124, 617, 474, 291, 529, 360, 122, 810, 595, 82, 74, 266, 796, 434, 518, 666, 876, 849, 114, 14, 321, 544, 254, 730, 490, 240, 789, 84, 655, 555, 727, 380, 685, 41, 408, 633, 762, 689, 552, 786, 422, 478, 677, 336, 586, 356, 698, 223, 678, 471, 705, 130, 576, 602, 493, 736, 460, 725, 249, 248, 329, 689, 411, 743, 624, 787, 250, 680, 205, 646, 227, 730, 316, 712, 133, 616, 120, 706, 80, 597, 158, 632, 124, 651, 343, 9, 150, 98, 799, 632, 152, 766, 838, 324, 258, 847, 671, 17, 767, 41, 602, 154, 427, 242, 383, 746, 222, 501, 848, 78, 369, 547, 271, 444, 529, 833, 605, 242, 302, 702, 472, 410, 8, 714, 440, 485, 503, 397, 83, 198, 494, 628, 133, 101, 356, 437, 684, 10, 365, 769, 729, 410, 572, 379, 728, 114, 398, 734, 845, 61, 58, 372, 341, 584, 272, 736, 143, 58, 140, 322, 355, 403, 21, 606, 772, 831, 192, 513, 169, 719, 346, 500, 738, 84, 477, 787, 464, 294, 181, 362, 877, 554, 168, 863, 682, 204, 834, 167, 534, 793, 358, 623, 285, 361, 12, 175, 100, 687, 64, 762, 759, 660, 251, 720, 623, 552, 457, 170, 319, 737, 611, 800, 352, 559, 362, 694, 756, 155, 602, 741, 165, 288, 346, 592, 497, 2, 415, 861, 717, 142, 244, 139, 4, 863, 222, 307, 658, 146, 751, 203, 581, 256, 875, 91, 557, 362, 52, 41, 322, 581, 94, 797, 193, 438, 873, 844, 679, 311, 215, 381, 91, 811, 32, 738, 645, 182, 294, 358, 628, 704, 116, 27, 569, 234, 843, 240, 474, 393, 83, 120, 859, 201, 7, 511, 368, 525, 271, 557, 247, 542, 35, 93, 593, 293, 450, 635, 106, 136, 136, 151, 857, 19, 27, 597, 742, 365, 27, 392, 327, 566, 178, 203, 700, 659, 274, 661, 361, 533, 229, 428, 417, 303, 266, 385, 861, 610, 405, 803, 400, 122, 656, 527, 660, 567, 309, 358, 319, 487, 111, 490, 650, 194, 395, 22, 301, 740, 354, 693, 692, 549, 383, 31, 663, 59, 858, 789, 854, 471, 200, 515, 48, 786, 175, 304, 6, 191, 621, 467, 341, 715, 173, 835, 277, 123, 402, 20, 405, 89, 643, 288, 477, 813, 578, 744, 236, 303, 661, 782, 22, 823, 263, 703, 647, 97, 617, 81, 325, 862, 612, 112, 379, 96, 853, 329, 70, 506, 763, 831, 31, 455, 803, 232, 0, 171, 296, 225, 13, 179, 765, 96, 769, 105, 293, 314, 573, 752, 732, 501, 417, 862, 123, 40, 556, 791, 623, 400, 429, 155, 64, 532, 40, 71, 202, 751, 8, 218, 145, 290, 344, 794, 63, 634, 209, 350, 403, 424, 149, 67, 76, 804, 326, 818, 253, 632, 608, 239, 480, 220, 770, 813, 137, 833, 825, 711, 66, 299, 509, 250, 767, 56, 775, 729, 42, 380, 628, 327, 447, 80, 713, 379, 13, 809, 180, 820, 384, 799, 360, 313, 601, 392, 351, 642, 855, 537, 653, 539, 350, 560, 153, 279, 92, 696, 183, 332, 832, 550, 56, 52, 17, 416, 264, 119, 252, 477, 636, 197, 67, 590, 504, 784, 51, 130, 438, 752, 626, 771, 141, 456, 370, 442, 175, 277, 866, 326, 252, 697, 129, 400, 19, 268, 817, 544, 845, 219, 707, 543, 826, 839, 554, 804, 765, 835, 666, 849, 731, 879, 487, 365, 502, 211, 443, 520, 118, 200, 858, 579, 779, 587, 459, 756, 64, 196, 762, 430, 413, 502, 765, 189, 310, 543, 516, 608, 34, 286, 703, 711, 72, 778, 338, 223, 16, 191, 198, 63, 843, 836, 470, 675, 801, 210, 551, 777, 492, 233, 830, 57, 277, 776, 360, 141, 468, 870, 145, 677, 734, 287, 234, 54, 413, 269, 676, 549, 850, 159, 246, 213, 768, 254, 617, 121, 543, 39, 568, 320, 584, 236, 642, 296, 80, 645, 283, 408, 301, 507, 230, 328, 326, 12, 386, 44, 37, 522, 390, 226, 661, 224, 148, 871, 134, 875, 23, 523, 735, 698, 404, 396, 697, 653, 612, 761, 186, 258, 106, 117, 709, 630, 629, 527, 827, 401, 348, 669, 512, 639, 876, 332, 333, 848, 805, 44, 69, 415, 562, 181, 708, 572, 745, 807, 97, 758, 255, 282, 426, 704, 331, 583, 821, 782, 317, 744, 775, 715, 652, 433, 530, 524, 874, 615, 56, 282, 419, 793, 561, 800, 699, 142, 680, 679, 312, 125, 774, 187, 28, 647, 401, 116, 25, 521, 637, 100, 387, 351, 367, 717, 878, 205, 833, 74, 756, 534, 404, 140, 665, 438, 809, 273, 452, 389, 5, 847, 457, 375, 151, 636, 23, 707, 527, 377, 528, 78, 264, 442, 806, 36, 18, 272, 254, 127, 343, 667, 513, 342, 463, 452, 672, 768, 429, 719, 258, 427, 676, 465, 274, 818, 443, 67, 12, 50, 539, 51, 422, 727, 537, 478, 119, 9, 742, 713, 585, 295, 780, 383, 238, 577, 126, 10, 770, 184, 75, 65, 251, 496, 292, 367, 450, 241, 529, 807, 204, 352, 566, 589, 14, 856, 45, 393, 214, 370, 43, 761, 230, 255, 368, 364, 502, 33, 359, 101, 122, 501, 306, 810, 55, 302, 29, 722, 312, 430, 76, 81, 869, 436, 333, 525, 298, 166, 658, 446, 312, 43, 568, 614, 792, 823, 428, 496, 713, 828, 407, 186, 549, 217, 275, 462, 341, 75, 466, 717, 105, 445, 293, 755, 167, 795, 437, 653, 227, 248, 33, 77, 216, 416, 506, 779, 458, 53, 308, 556, 424, 507, 68, 447, 866, 226, 764, 71, 34, 844, 589, 346, 652, 331, 126, 291, 355, 171, 461, 773, 75, 836, 242, 194, 484, 237, 309, 212, 405, 377, 134, 50, 303, 710, 507, 399, 385, 170, 656, 514, 874, 435, 170, 401, 626, 375, 518, 489, 199, 689, 648, 854, 777, 577, 283, 237, 509, 79, 864, 482, 848, 870, 104, 864, 853, 472, 857, 831, 359, 523, 94, 870, 796, 93, 847, 104, 48, 300, 594, 260, 548, 42, 396, 757, 404, 302, 131, 873, 626, 55, 375, 349, 50, 391, 210, 421, 462, 165, 834, 65, 512, 53, 611, 176, 135, 583, 682, 73, 69, 739, 827, 505, 560, 2, 495, 138, 694, 506, 636, 431, 609, 19, 255, 768, 91, 760, 236, 268, 659, 705, 634, 634, 136, 490, 459, 480, 729, 724, 595, 253, 558, 594, 70, 114, 814, 166, 511, 546, 674, 95, 680, 39, 210, 60, 825, 668, 479, 350, 759, 434, 866, 552, 592, 306, 432, 741, 308, 860, 155, 244, 162, 785, 553, 537, 640, 809, 227, 781, 144, 812, 76, 863, 378, 180, 587, 416, 332, 499, 627, 600, 388, 635, 49, 325, 807, 334, 853, 483, 396, 378, 631, 239, 394, 369, 355, 819, 310, 493, 459, 125, 775, 861, 249, 370, 570, 73, 852, 107, 754, 188, 631, 376, 237, 558, 311, 223, 211, 7, 324, 57, 624, 607, 654, 247, 496, 219, 82, 837, 321, 530, 181, 516, 609, 840, 657, 664, 693, 832, 289, 299, 751, 69, 540, 659, 96, 840, 283, 466, 781, 34, 536, 32, 646, 812, 97, 708, 314, 328, 287, 867, 297, 538, 203, 820, 804, 207, 846, 428, 727, 877, 327, 745, 701, 698, 872, 3, 79, 151, 662, 841, 708, 268, 764, 664, 409, 476, 422, 605, 264, 652, 566, 451, 394, 838, 782, 240, 446, 665, 646, 187, 387, 489, 774, 376, 265, 690, 436, 792, 651, 89, 20, 840, 275, 764, 212, 706, 610, 149, 112, 701, 402}

    {228, 24, 38, 645, 639, 851, 760, 682, 243, 663, 786, 440, 337, 99, 406, 721, 575, 158, 86, 160, 664, 55, 627, 454, 593, 520, 666, 550, 371, 60, 642, 398, 147, 601, 297, 285, 159, 439, 773, 826, 374, 525, 185, 460, 595, 131, 144, 541, 60, 467, 536, 4, 710, 449, 165, 771, 126, 412, 90, 26, 683, 874, 724, 783, 129, 641, 275, 673, 335, 340, 166, 827, 407, 414, 692, 22, 420, 467, 712, 655, 793, 464, 868, 588, 519, 510, 322, 533, 190, 318, 46, 615, 678, 154, 190, 49, 174, 603, 654, 180, 423, 89, 522, 798, 754, 450, 857, 455, 48, 183, 295, 198, 571, 119, 284, 588, 451, 206, 146, 453, 718, 726, 586, 508, 670, 386, 510, 47, 691, 281, 208, 263, 135, 473, 348, 619, 479, 615, 830, 113, 281, 554, 716, 701, 524, 475, 245, 869, 709, 465, 1, 339, 776, 87, 384, 262, 152, 340, 296, 776, 173, 63, 412, 453, 473, 72, 95, 187, 841, 570, 648, 343, 723, 334, 336, 196, 163, 323, 313, 852, 259, 232, 82, 278, 235, 481, 29, 143, 797, 486, 425, 846, 647, 167, 567, 414, 35, 721, 147, 761, 441, 406, 766, 185, 743, 177, 586, 330, 241, 229, 353, 748, 580, 230, 143, 510, 610, 215, 176, 23, 408, 276, 720, 487, 190, 108, 728, 178, 261, 414, 591, 576, 320, 382, 630, 117, 592, 556, 498, 51, 47, 779, 763, 686, 153, 193, 519, 291, 84, 796, 391, 118, 824, 104, 773, 434, 273, 260, 257, 339, 85, 576, 138, 563, 614, 221, 563, 452, 146, 121, 469, 45, 361, 215, 349, 411, 3, 153, 225, 620, 495, 726, 526, 160, 28, 216, 718, 135, 9, 841, 855, 722, 368, 837, 582, 472, 522, 24, 381, 505, 394, 783, 202, 278, 372, 530, 867, 159, 449, 872, 463, 443, 569, 748, 168, 688, 725, 744, 25, 517, 819, 38, 102, 596, 674, 118, 808, 683, 668, 329, 635, 440, 3, 790, 157, 757, 163, 109, 471, 412, 835, 16, 714, 858, 164, 879, 648, 599, 822, 494, 347, 318, 92, 860, 284, 657, 449, 745, 249, 11, 168, 352, 726, 865, 844, 61, 735, 448, 511, 336, 538, 825, 850, 594, 476, 272, 127, 235, 469, 385, 540, 605, 68, 144, 665, 739, 267, 532, 315, 188, 421, 98, 331, 640, 354, 137, 859, 845, 573, 643, 131, 655, 444, 382, 235, 657, 508, 366, 618, 488, 45, 589, 269, 466, 481, 625, 667, 13, 270, 74, 716, 18, 295, 392, 454, 185, 209, 821, 508, 15, 186, 128, 110, 300, 478, 219, 395, 0, 226, 541, 164, 799, 335, 533, 579, 158, 433, 150, 330, 261, 262, 600, 531, 574, 195, 311, 245, 439, 621, 87, 801, 521, 718, 384, 616, 813, 21, 30, 674, 323, 868, 397, 380, 142, 398, 280, 821, 125, 582, 621, 622, 88, 611, 31, 110, 62, 842, 791, 109, 5, 390, 692, 790, 780, 868, 604, 673, 228, 669, 62, 828, 872, 349, 426, 44, 458, 606, 99, 695, 28, 347, 157, 320, 792, 121, 757, 233, 622, 741, 675, 415, 695, 93, 2, 373, 503, 90, 316, 731, 535, 464, 577, 129, 876, 836, 785, 374, 737, 333, 442, 732, 829, 650, 620, 803, 206, 639, 802, 345, 697, 156, 743, 875, 545, 603, 364, 791, 463, 103, 432, 178, 788, 532, 115, 388, 410, 238, 107, 149, 366, 483, 391, 259, 489, 139, 654, 676, 78, 366, 491, 787, 1, 805, 811, 678, 700, 243, 314, 195, 338, 677, 342, 531, 49, 596, 524, 673, 26, 26, 124, 505, 176, 184, 225, 517, 503, 369, 6, 608, 435, 739, 285, 253, 94, 425, 867, 304, 736, 630, 710, 475, 864, 224, 340, 270, 855, 497, 373, 818, 691, 409, 79, 270, 517, 806, 780, 244, 541, 188, 470, 218, 371, 571, 436, 734, 256, 435, 515, 357, 77, 169, 559, 172, 663, 273, 250, 363, 865, 774, 671, 846, 672, 148, 246, 115, 561, 548, 686, 788, 627, 763, 486, 132, 214, 488, 783, 238, 363, 328, 755, 437, 381, 174, 335, 211, 834, 164, 389, 498, 800, 740, 862, 709, 580, 407, 15, 829, 483, 564, 345, 134, 578, 730, 815, 597, 716, 481, 614, 57, 228, 753, 600, 448, 239, 871, 849, 548, 696, 417, 590, 257, 145, 526, 781, 147, 575, 851, 702, 656, 546, 778, 798, 789, 603, 733, 499, 453, 106, 878, 38, 822, 305, 520, 378, 171, 217, 208, 571, 294, 363, 406, 565, 738, 39, 274, 199, 282, 46, 619, 87, 760, 101, 545, 461, 356, 389, 224, 461, 430, 259, 354, 233, 583, 280, 184, 192, 644, 108, 473, 399, 748, 785, 606, 192, 492, 245, 794, 790, 601, 688, 90, 348, 234, 53, 816, 388, 810, 393, 413, 127, 640, 212, 547, 694, 420, 7, 163, 260, 419, 73, 801, 265, 509, 306, 580, 493, 486, 754, 429, 310, 649, 562, 561, 817, 492, 403, 735, 4, 353, 298, 33, 54, 474, 345, 468, 660, 46, 607, 315, 536, 207, 462, 162, 154, 712, 150, 824, 558, 750, 538, 373, 607, 598, 584, 475, 172, 482, 723, 156, 670, 141, 173, 649, 68, 342, 688, 81, 263, 77, 686, 839, 662, 103, 772, 334, 819, 590, 286, 37, 574, 298, 441, 330, 196, 570, 638, 488, 108, 247, 854, 690, 808, 172, 513, 702, 696, 446, 598, 588, 476, 752, 289, 711, 194, 276, 526, 484, 213, 324, 816, 485, 637, 591, 20, 105, 252, 161, 441, 66, 812, 62, 644, 456, 262, 766, 612, 339, 213, 569, 733, 42, 559, 817, 152, 116, 650, 109, 289, 629, 859, 869, 382, 681, 633, 85, 169, 837, 1, 484, 613, 599, 374, 347, 139, 641, 308, 88, 11, 568, 638, 418, 246, 290, 485, 179, 618, 658, 191, 784, 585, 399, 808, 823, 30, 699, 454, 179, 691, 99, 15, 47, 351, 732, 585, 418, 138, 851, 317, 737, 265, 397, 447, 794, 231, 482, 662, 721, 279, 598, 29, 565, 555, 641, 465, 409, 667, 206, 220, 372, 92, 498, 102, 231, 318, 261, 528, 683, 305, 59, 292, 685, 616, 587, 814, 321, 788, 518, 115, 424, 822, 123, 842, 546, 878, 772, 842, 707, 706, 128, 174, 856, 113, 425, 622, 58, 671, 280, 367, 742, 204, 107, 395, 276, 746, 344, 620, 540, 553, 304, 269, 199, 377, 564, 301, 542, 448, 563, 444, 830, 573, 316, 162, 325, 290, 16, 644, 784, 71, 111, 117, 631, 798, 216, 130, 86, 722, 491, 61, 197, 220, 423, 705, 200, 128, 24, 747, 613, 685, 770, 504, 873, 319, 390, 480, 651, 703, 32, 72, 637, 700, 357, 555, 120, 542, 749, 604, 133, 815, 232, 564, 54, 284, 307, 699, 575, 758, 257, 286, 315, 624, 619, 387, 241, 802, 515, 177, 749, 468, 625, 197, 148, 59, 195, 633, 604, 279, 826, 337, 747, 292, 550, 681, 879, 11, 217, 672, 43, 111, 843, 208, 456, 771, 202, 112, 21, 725, 95, 832, 599, 10, 36, 113, 221, 504, 531, 838, 439, 376, 596, 222, 551, 337, 724, 411, 839, 182, 715, 248, 205, 157, 828, 182, 553, 740, 371, 431, 749, 795, 500, 470, 551, 421, 579, 523, 160, 816, 420, 820, 299, 40, 338, 643, 714, 88, 500, 806, 795, 132, 723, 567, 649, 491, 432, 668, 693, 85, 418, 445, 323, 750, 86, 758, 629, 288, 747, 6, 419, 613, 229, 753, 218, 582, 850, 209, 14, 455, 132, 207, 479, 865, 856, 317, 860, 445, 499, 156, 344, 137, 759, 189, 309, 494, 25, 769, 625, 497, 516, 684, 681, 778, 278, 545, 66, 753, 243, 593, 528, 574, 670, 426, 36, 539, 829, 353, 201, 214, 267, 100, 423, 431, 177, 746, 544, 0, 777, 535, 815, 557, 802, 5, 824, 297, 98, 514, 110, 877, 161, 458, 684, 852, 433, 797, 578, 679, 547, 535, 669, 266, 313, 189}

    Returns: {0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0 }

  68. 924

    {606, 227, 66, 810, 402, 851, 579, 836, 232, 578, 180, 885, 482, 564, 732, 131, 903, 595, 69, 775, 313, 893, 132, 675, 500, 163, 628, 687, 518, 831, 625, 382, 562, 522, 153, 205, 446, 718, 171, 281, 497, 13, 743, 432, 842, 58, 615, 839, 545, 755, 639, 105, 247, 752, 315, 423, 178, 257, 132, 284, 559, 36, 615, 394, 596, 813, 799, 565, 277, 827, 203, 209, 525, 287, 177, 151, 177, 807, 390, 825, 708, 92, 683, 905, 383, 692, 821, 583, 490, 702, 455, 212, 142, 593, 148, 555, 773, 520, 788, 209, 638, 676, 494, 411, 442, 304, 710, 480, 877, 770, 136, 293, 471, 512, 809, 665, 282, 740, 99, 751, 841, 386, 560, 552, 391, 430, 526, 836, 619, 321, 756, 129, 688, 854, 401, 225, 273, 730, 575, 241, 142, 510, 585, 357, 14, 859, 816, 46, 676, 67, 380, 195, 196, 123, 604, 261, 265, 102, 96, 407, 780, 277, 361, 858, 473, 294, 143, 436, 584, 629, 377, 206, 868, 859, 652, 265, 639, 584, 104, 920, 722, 479, 739, 727, 534, 368, 112, 434, 43, 259, 483, 103, 713, 144, 352, 519, 620, 467, 713, 923, 240, 329, 559, 808, 735, 161, 149, 837, 607, 446, 300, 10, 687, 480, 590, 393, 3, 118, 431, 324, 610, 483, 333, 430, 737, 607, 910, 41, 200, 124, 659, 521, 218, 671, 888, 551, 405, 240, 420, 155, 236, 3, 465, 800, 542, 59, 336, 632, 899, 757, 449, 87, 55, 452, 732, 462, 2, 372, 527, 838, 286, 855, 61, 88, 161, 885, 771, 242, 579, 178, 587, 355, 246, 97, 422, 449, 563, 623, 908, 899, 22, 190, 345, 921, 299, 130, 666, 396, 281, 914, 550, 727, 199, 403, 883, 813, 372, 66, 346, 620, 147, 351, 913, 495, 496, 53, 259, 862, 433, 88, 855, 489, 647, 386, 137, 266, 164, 410, 51, 345, 77, 273, 902, 856, 733, 236, 350, 789, 881, 438, 203, 343, 700, 292, 814, 543, 55, 914, 358, 359, 664, 851, 140, 836, 683, 378, 725, 592, 56, 300, 685, 647, 331, 57, 428, 457, 739, 108, 622, 120, 653, 132, 411, 110, 802, 235, 301, 391, 704, 507, 571, 525, 533, 394, 32, 475, 767, 771, 295, 389, 177, 919, 9, 150, 193, 857, 905, 738, 363, 682, 663, 582, 567, 611, 745, 603, 352, 205, 113, 743, 572, 337, 121, 75, 62, 532, 648, 667, 917, 715, 252, 760, 625, 252, 870, 126, 308, 226, 510, 442, 687, 272, 674, 544, 749, 170, 94, 690, 333, 291, 337, 881, 816, 641, 293, 644, 524, 370, 597, 210, 269, 261, 626, 251, 767, 586, 680, 330, 513, 570, 850, 581, 864, 57, 258, 378, 117, 505, 811, 198, 696, 211, 645, 645, 796, 661, 922, 918, 694, 51, 425, 710, 223, 448, 771, 521, 659, 758, 102, 711, 236, 820, 414, 629, 232, 425, 256, 554, 341, 733, 724, 241, 806, 575, 434, 204, 242, 900, 288, 715, 107, 499, 181, 126, 44, 473, 835, 222, 915, 160, 220, 523, 92, 513, 742, 848, 778, 806, 16, 297, 592, 155, 359, 64, 840, 457, 568, 195, 595, 317, 398, 518, 298, 795, 777, 523, 335, 52, 737, 36, 614, 70, 130, 609, 691, 915, 426, 507, 35, 450, 598, 489, 35, 130, 640, 703, 456, 1, 182, 701, 38, 586, 447, 825, 135, 830, 589, 59, 86, 373, 270, 455, 433, 382, 166, 487, 63, 271, 125, 109, 573, 773, 895, 540, 155, 476, 144, 304, 254, 2, 774, 449, 477, 741, 214, 565, 904, 188, 323, 850, 393, 879, 528, 375, 752, 841, 520, 184, 322, 280, 853, 858, 452, 427, 39, 834, 779, 13, 414, 26, 526, 141, 297, 898, 353, 441, 595, 475, 810, 450, 919, 672, 250, 562, 912, 291, 157, 137, 319, 447, 508, 374, 103, 395, 846, 503, 755, 820, 782, 120, 382, 358, 197, 677, 48, 733, 700, 134, 312, 790, 228, 818, 63, 255, 354, 56, 309, 909, 451, 128, 550, 753, 797, 348, 534, 572, 587, 215, 856, 174, 793, 172, 482, 51, 747, 264, 624, 505, 121, 143, 375, 691, 408, 182, 246, 96, 341, 829, 881, 160, 678, 336, 323, 516, 310, 786, 520, 210, 511, 545, 856, 73, 635, 400, 290, 117, 444, 896, 304, 151, 419, 555, 41, 875, 875, 824, 904, 96, 719, 837, 441, 459, 638, 7, 802, 756, 378, 332, 376, 526, 320, 145, 689, 381, 8, 568, 705, 680, 540, 877, 361, 623, 245, 893, 124, 457, 918, 67, 822, 284, 84, 573, 420, 146, 696, 841, 53, 299, 545, 237, 126, 371, 324, 115, 136, 446, 136, 295, 349, 191, 639, 711, 525, 644, 745, 785, 778, 510, 119, 158, 252, 612, 178, 416, 128, 547, 537, 330, 1, 591, 465, 871, 849, 183, 296, 535, 830, 20, 602, 436, 389, 851, 119, 804, 24, 835, 339, 237, 429, 275, 328, 219, 566, 129, 44, 316, 844, 828, 26, 374, 872, 71, 699, 613, 923, 422, 387, 76, 585, 320, 127, 484, 889, 495, 423, 500, 486, 824, 11, 350, 186, 731, 536, 61, 87, 558, 673, 563, 450, 27, 850, 743, 93, 344, 212, 372, 169, 283, 762, 399, 83, 815, 54, 547, 478, 779, 102, 42, 376, 334, 462, 297, 189, 312, 168, 822, 498, 670, 266, 542, 55, 138, 769, 89, 112, 10, 272, 315, 181, 175, 657, 69, 772, 56, 911, 834, 192, 216, 461, 7, 194, 582, 790, 98, 653, 909, 789, 470, 245, 857, 37, 668, 858, 672, 346, 677, 354, 307, 62, 576, 129, 310, 669, 692, 742, 591, 880, 564, 906, 571, 2, 377, 666, 623, 482, 110, 379, 887, 64, 99, 702, 435, 215, 305, 848, 500, 701, 601, 75, 435, 532, 48, 308, 587, 828, 207, 340, 474, 599, 715, 264, 326, 671, 21, 270, 472, 369, 826, 513, 160, 558, 113, 627, 805, 180, 585, 234, 225, 835, 544, 238, 99, 296, 529, 226, 732, 861, 74, 95, 335, 229, 789, 696, 879, 181, 369, 196, 807, 163, 84, 153, 604, 849, 152, 518, 307, 193, 320, 480, 565, 71, 257, 461, 62, 375, 260, 214, 321, 121, 633, 795, 407, 667, 606, 186, 785, 673, 834, 33, 46, 28, 514, 917, 566, 259, 464, 681, 704, 154, 681, 344, 634, 147, 276, 564, 749, 556, 456, 888, 196, 827, 574, 64, 884, 290, 793, 67, 327, 628, 898, 665, 420, 657, 628, 535, 468, 769, 18, 48, 270, 776, 714, 809, 463, 742, 60, 17, 175, 728, 306, 414, 833, 610, 115, 551, 619, 131, 373, 459, 227, 318, 32, 140, 568, 532, 292, 751, 15, 239, 627, 684, 360, 303, 572, 151, 820, 305, 788, 31, 829, 812, 539, 778, 183, 194, 705, 88, 359, 744, 641, 468, 149, 395, 499, 154, 424, 599, 888, 186, 624, 161, 123, 487, 494, 325, 900, 864, 460, 260, 221, 740, 617, 104, 637, 666, 607, 689, 557, 824, 210, 922, 758, 288, 174, 646, 860, 720, 105, 613, 499, 60, 753, 577, 779, 415, 641, 697, 234, 490, 609, 404, 23, 734, 340, 627, 678, 12, 279, 429, 107, 222, 222, 426, 285, 255, 581, 581, 578, 649, 756, 415, 232, 390, 406, 82, 221, 855, 577, 81, 493, 456, 272, 477, 620, 921, 475, 63, 781, 635, 234, 286, 578, 908, 342, 740, 502, 293, 202, 460, 775, 734, 340, 912, 680, 149, 92, 410, 418, 4, 665, 194, 885, 318, 618, 859, 390, 309, 203, 721, 838, 624, 43, 869, 84, 830, 424, 397, 523, 173, 201, 467, 543, 605, 549, 761, 341, 837, 318, 560, 461, 448, 441, 90, 75, 127, 83, 490, 910, 809, 276, 438, 840, 91, 831, 275, 433, 784, 602, 137, 16, 163, 759, 217, 748, 184, 18, 633, 200, 669, 406, 468, 72, 173, 640, 416, 654, 377, 660, 826, 492, 314, 470, 213, 141, 597, 168, 325, 773, 37, 806, 694, 424, 239, 187, 41, 485, 243, 33, 811, 274, 353, 190, 785, 471, 410, 61, 569, 120, 21, 491, 323, 442, 367, 787, 399, 640, 920, 891, 728, 280, 590, 246, 807, 143, 256, 97, 387, 313, 458, 439, 709, 134, 470, 731, 131, 492, 484, 914, 798, 255, 231, 122, 774, 227, 791, 559, 91, 693, 124, 598, 415, 676, 338, 249, 353, 9}

    {901, 652, 314, 539, 13, 112, 221, 750, 476, 401, 400, 716, 553, 344, 328, 538, 111, 531, 167, 631, 506, 381, 498, 19, 522, 760, 544, 608, 169, 460, 408, 148, 530, 384, 46, 557, 781, 795, 230, 800, 783, 94, 188, 512, 313, 404, 231, 517, 243, 409, 174, 235, 553, 416, 79, 202, 634, 608, 417, 748, 311, 729, 762, 884, 808, 289, 872, 865, 383, 763, 127, 425, 245, 886, 556, 8, 900, 505, 202, 705, 412, 645, 49, 25, 516, 362, 336, 566, 798, 750, 814, 105, 561, 437, 469, 233, 300, 93, 176, 268, 554, 574, 298, 16, 94, 322, 735, 776, 819, 280, 371, 644, 529, 613, 712, 589, 39, 379, 101, 465, 895, 50, 870, 345, 171, 746, 321, 649, 817, 630, 125, 9, 367, 329, 685, 852, 458, 19, 371, 786, 863, 224, 570, 116, 106, 664, 625, 172, 765, 44, 183, 5, 290, 481, 764, 440, 319, 93, 675, 662, 262, 552, 306, 524, 548, 635, 201, 874, 591, 79, 192, 550, 642, 85, 229, 698, 392, 686, 399, 554, 766, 630, 803, 189, 332, 29, 391, 618, 65, 146, 370, 12, 569, 736, 108, 385, 812, 801, 47, 688, 804, 305, 32, 83, 896, 223, 713, 373, 187, 473, 538, 668, 257, 418, 38, 364, 206, 447, 440, 770, 405, 723, 466, 708, 560, 911, 654, 192, 908, 592, 472, 27, 141, 445, 352, 188, 193, 698, 757, 31, 271, 902, 40, 849, 822, 38, 537, 683, 872, 561, 138, 868, 493, 191, 828, 616, 91, 479, 167, 803, 98, 33, 787, 539, 549, 220, 288, 165, 501, 355, 25, 443, 412, 404, 412, 247, 269, 516, 39, 289, 495, 860, 917, 583, 646, 768, 87, 571, 546, 14, 728, 527, 874, 909, 488, 699, 511, 385, 74, 921, 611, 643, 610, 668, 175, 52, 103, 651, 296, 691, 28, 901, 78, 402, 351, 417, 253, 432, 275, 80, 615, 528, 89, 156, 896, 1, 907, 134, 631, 199, 557, 214, 507, 133, 467, 179, 303, 918, 494, 70, 636, 171, 714, 702, 387, 308, 230, 799, 291, 903, 295, 60, 100, 478, 215, 307, 204, 621, 761, 674, 11, 266, 413, 892, 863, 723, 335, 725, 367, 876, 617, 916, 890, 451, 311, 287, 616, 228, 401, 812, 727, 279, 880, 5, 362, 238, 80, 681, 437, 172, 273, 589, 418, 825, 915, 608, 621, 331, 801, 454, 845, 612, 77, 886, 68, 535, 726, 330, 80, 226, 436, 759, 706, 42, 162, 562, 655, 65, 551, 402, 603, 821, 388, 453, 220, 832, 50, 413, 166, 30, 317, 219, 706, 804, 541, 541, 588, 794, 393, 315, 263, 431, 695, 173, 262, 690, 636, 865, 788, 184, 342, 648, 50, 580, 790, 427, 114, 823, 357, 162, 403, 133, 748, 580, 660, 360, 832, 106, 6, 586, 528, 508, 845, 34, 600, 877, 319, 81, 464, 322, 74, 503, 783, 731, 673, 268, 469, 374, 913, 285, 242, 729, 797, 0, 662, 838, 633, 189, 228, 249, 208, 707, 796, 285, 781, 426, 542, 157, 768, 164, 716, 833, 90, 176, 643, 818, 811, 218, 889, 829, 899, 419, 73, 780, 152, 269, 440, 593, 107, 201, 43, 815, 358, 327, 5, 827, 786, 469, 162, 241, 910, 139, 152, 556, 810, 782, 338, 451, 347, 797, 653, 643, 821, 745, 649, 754, 509, 679, 658, 726, 71, 684, 894, 244, 294, 709, 439, 217, 403, 706, 658, 326, 488, 547, 466, 894, 170, 679, 723, 0, 0, 111, 452, 796, 157, 866, 848, 110, 128, 897, 388, 496, 719, 597, 204, 667, 893, 860, 198, 328, 741, 65, 209, 19, 515, 73, 435, 381, 892, 302, 798, 617, 76, 655, 886, 661, 343, 637, 497, 847, 479, 95, 514, 738, 166, 844, 207, 792, 722, 159, 741, 109, 347, 803, 253, 268, 650, 326, 240, 826, 7, 453, 213, 664, 421, 20, 471, 20, 101, 388, 256, 656, 30, 47, 857, 735, 876, 594, 233, 298, 600, 144, 922, 463, 772, 197, 159, 86, 700, 70, 594, 154, 159, 782, 567, 487, 905, 462, 776, 362, 408, 636, 577, 703, 546, 421, 421, 729, 762, 846, 27, 766, 816, 122, 422, 819, 533, 558, 831, 912, 146, 250, 870, 277, 867, 36, 878, 626, 491, 217, 225, 139, 135, 832, 717, 712, 25, 710, 339, 718, 898, 185, 82, 814, 801, 21, 114, 521, 454, 365, 497, 208, 342, 606, 361, 602, 714, 647, 593, 630, 185, 488, 800, 904, 897, 261, 244, 395, 871, 730, 863, 648, 58, 114, 699, 868, 40, 66, 777, 90, 52, 805, 561, 764, 485, 76, 148, 517, 887, 459, 530, 672, 652, 601, 573, 338, 109, 842, 752, 751, 721, 339, 536, 656, 348, 674, 11, 719, 349, 689, 199, 753, 380, 515, 844, 605, 35, 883, 346, 871, 191, 584, 158, 634, 865, 588, 22, 769, 370, 438, 583, 725, 853, 659, 541, 363, 892, 208, 724, 690, 873, 765, 693, 839, 314, 176, 254, 409, 514, 920, 707, 590, 707, 432, 704, 501, 49, 895, 444, 555, 100, 839, 754, 709, 744, 69, 817, 356, 29, 738, 746, 79, 68, 884, 98, 761, 866, 576, 309, 730, 474, 477, 878, 366, 794, 491, 429, 168, 867, 334, 283, 169, 765, 502, 284, 15, 258, 874, 363, 267, 428, 847, 167, 283, 312, 150, 417, 579, 736, 437, 869, 496, 503, 3, 230, 6, 250, 695, 660, 529, 670, 609, 237, 30, 712, 360, 481, 913, 281, 901, 445, 118, 464, 642, 368, 398, 533, 889, 97, 248, 882, 694, 396, 805, 271, 614, 869, 642, 58, 263, 646, 231, 187, 405, 489, 686, 299, 887, 356, 428, 8, 123, 576, 383, 247, 711, 651, 366, 767, 348, 244, 878, 616, 854, 736, 527, 78, 133, 282, 364, 524, 248, 140, 444, 873, 531, 486, 638, 506, 843, 662, 17, 861, 356, 182, 698, 867, 118, 316, 253, 847, 650, 598, 575, 170, 72, 376, 156, 777, 443, 248, 840, 145, 755, 843, 873, 445, 679, 218, 549, 324, 890, 86, 398, 498, 77, 115, 397, 207, 605, 682, 213, 546, 101, 697, 563, 692, 697, 567, 145, 852, 506, 158, 18, 239, 882, 15, 49, 310, 724, 618, 434, 720, 508, 430, 596, 758, 24, 678, 85, 764, 509, 552, 45, 604, 258, 907, 538, 612, 350, 876, 380, 661, 783, 366, 716, 384, 622, 108, 744, 686, 54, 262, 787, 601, 760, 519, 718, 443, 31, 14, 142, 511, 355, 34, 274, 891, 536, 238, 122, 156, 655, 117, 794, 351, 78, 455, 138, 594, 802, 276, 763, 216, 211, 190, 486, 923, 365, 772, 757, 902, 882, 427, 431, 588, 423, 40, 343, 819, 791, 413, 147, 354, 223, 327, 833, 784, 316, 419, 622, 45, 766, 734, 251, 671, 611, 722, 139, 717, 265, 104, 654, 85, 799, 504, 135, 842, 621, 493, 846, 301, 302, 845, 656, 302, 384, 637, 631, 37, 670, 651, 396, 267, 386, 286, 23, 747, 100, 906, 695, 180, 476, 600, 392, 484, 454, 883, 125, 306, 813, 332, 504, 515, 397, 854, 472, 185, 150, 197, 522, 68, 669, 29, 817, 368, 28, 278, 82, 815, 531, 650, 113, 519, 530, 235, 701, 726, 626, 750, 483, 329, 81, 211, 792, 919, 501, 12, 553, 866, 746, 26, 492, 224, 693, 45, 200, 400, 548, 632, 195, 263, 685, 792, 474, 862, 179, 24, 717, 54, 219, 357, 619, 164, 682, 614, 478, 4, 534, 365, 439, 861, 749, 89, 407, 153, 292, 6, 331, 392, 739, 264, 879, 303, 543, 249, 780, 823, 763, 34, 337, 875, 53, 179, 301, 509, 216, 4, 379, 198, 747, 251, 254, 580, 406, 205, 596, 853, 569, 911, 165, 42, 768, 897, 574, 754, 720, 629, 463, 17, 703, 759, 793, 243, 57, 72, 916, 165, 282, 818, 287, 334, 570, 448, 663, 349, 47, 481, 540, 894, 537, 548, 684, 278, 862, 364, 233, 770, 688, 891, 95, 10, 294, 675, 23, 279, 311, 59, 278, 791, 267, 333, 224, 808, 409, 512, 603, 677, 774, 906, 657, 737, 864, 111, 394, 274, 458, 453, 260, 206, 325, 852, 708, 823, 317, 502, 916, 632, 599, 663, 582, 22, 890, 411, 784, 903, 347, 880, 106, 119, 212, 369, 658, 504, 229, 116, 485, 907, 389, 289, 116, 721, 775, 385, 843, 466, 517}

    Returns: {0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0 }

  69. 940

    {583, 769, 522, 770, 356, 71, 917, 468, 579, 538, 822, 480, 71, 848, 34, 586, 785, 688, 36, 744, 915, 601, 170, 779, 533, 252, 902, 514, 119, 405, 206, 132, 368, 684, 108, 91, 402, 109, 600, 97, 187, 457, 644, 435, 208, 289, 906, 629, 760, 281, 120, 216, 164, 113, 255, 450, 514, 648, 872, 447, 394, 165, 511, 828, 368, 385, 82, 296, 652, 669, 638, 492, 484, 203, 758, 770, 388, 714, 704, 690, 360, 455, 872, 301, 686, 291, 691, 518, 21, 572, 490, 541, 15, 38, 349, 204, 352, 805, 230, 777, 659, 384, 96, 379, 313, 866, 210, 756, 588, 731, 615, 325, 415, 700, 133, 202, 776, 755, 278, 347, 760, 261, 784, 81, 567, 236, 511, 527, 447, 353, 313, 920, 191, 425, 603, 660, 539, 449, 712, 699, 481, 529, 51, 369, 221, 375, 589, 606, 398, 552, 421, 18, 175, 66, 412, 813, 365, 215, 245, 822, 7, 56, 289, 755, 396, 806, 521, 772, 515, 9, 825, 193, 808, 357, 786, 492, 521, 611, 238, 536, 802, 8, 211, 802, 179, 160, 418, 556, 671, 413, 936, 488, 227, 189, 299, 69, 443, 305, 456, 387, 298, 196, 407, 854, 205, 520, 149, 14, 792, 327, 571, 413, 420, 350, 362, 239, 118, 217, 859, 524, 293, 756, 807, 506, 317, 230, 203, 706, 433, 932, 181, 189, 11, 316, 720, 378, 318, 238, 864, 859, 830, 188, 271, 264, 549, 225, 914, 159, 609, 802, 741, 403, 774, 881, 698, 831, 36, 178, 12, 782, 540, 584, 486, 89, 747, 901, 736, 545, 602, 279, 485, 870, 485, 417, 269, 375, 570, 287, 679, 23, 693, 414, 889, 287, 555, 767, 894, 407, 691, 138, 41, 463, 836, 341, 146, 410, 607, 323, 725, 30, 41, 698, 714, 290, 108, 395, 622, 380, 634, 142, 917, 809, 680, 414, 450, 236, 670, 511, 392, 310, 539, 334, 495, 921, 705, 808, 352, 139, 499, 737, 164, 374, 827, 590, 12, 141, 524, 933, 765, 489, 182, 258, 887, 741, 729, 151, 315, 914, 765, 24, 795, 569, 411, 778, 198, 305, 194, 531, 325, 332, 413, 77, 50, 884, 456, 24, 402, 772, 185, 347, 866, 437, 388, 907, 497, 552, 244, 653, 775, 920, 583, 13, 262, 586, 579, 718, 854, 119, 140, 639, 754, 436, 63, 797, 824, 394, 502, 355, 771, 331, 515, 25, 104, 4, 686, 458, 842, 155, 469, 273, 64, 294, 180, 634, 76, 340, 498, 101, 495, 761, 259, 110, 458, 426, 128, 854, 76, 546, 372, 56, 215, 572, 587, 500, 720, 805, 166, 906, 791, 320, 929, 240, 207, 10, 5, 13, 33, 434, 476, 503, 172, 486, 724, 246, 3, 816, 302, 526, 582, 46, 524, 531, 624, 528, 546, 300, 349, 652, 576, 904, 183, 338, 150, 243, 211, 554, 298, 709, 329, 645, 548, 137, 911, 711, 156, 6, 57, 110, 393, 211, 66, 153, 163, 720, 401, 889, 660, 225, 143, 362, 654, 401, 579, 16, 701, 526, 587, 44, 538, 258, 552, 462, 39, 779, 357, 821, 646, 154, 243, 238, 809, 275, 99, 81, 781, 79, 494, 923, 780, 707, 281, 176, 168, 35, 938, 451, 299, 318, 938, 873, 877, 162, 260, 61, 291, 273, 465, 819, 241, 510, 868, 810, 905, 785, 91, 333, 891, 774, 295, 564, 637, 416, 627, 470, 127, 360, 614, 254, 593, 850, 934, 329, 704, 680, 857, 548, 278, 883, 223, 313, 8, 452, 20, 537, 501, 731, 29, 598, 629, 157, 733, 19, 760, 168, 126, 242, 20, 565, 270, 445, 403, 354, 432, 504, 526, 451, 235, 609, 492, 904, 282, 658, 657, 501, 149, 95, 277, 523, 214, 22, 78, 645, 896, 128, 687, 745, 918, 544, 395, 764, 585, 80, 334, 318, 781, 257, 97, 753, 187, 519, 934, 334, 321, 916, 617, 404, 122, 54, 497, 796, 692, 286, 241, 3, 709, 419, 927, 775, 784, 606, 905, 27, 163, 795, 908, 831, 139, 619, 567, 160, 230, 478, 452, 40, 120, 466, 414, 421, 803, 564, 436, 387, 767, 557, 513, 192, 65, 234, 895, 708, 719, 817, 639, 422, 663, 925, 40, 220, 216, 148, 316, 449, 462, 314, 665, 68, 144, 728, 445, 461, 597, 494, 178, 270, 470, 12, 84, 656, 726, 60, 22, 446, 499, 229, 217, 820, 576, 348, 735, 128, 856, 463, 650, 934, 315, 344, 459, 319, 831, 282, 37, 452, 675, 75, 911, 670, 777, 561, 641, 902, 562, 915, 620, 281, 72, 924, 516, 353, 156, 594, 381, 50, 261, 473, 676, 563, 349, 243, 684, 739, 843, 848, 346, 354, 455, 157, 340, 289, 804, 711, 177, 484, 338, 877, 654, 86, 93, 661, 185, 566, 884, 695, 287, 251, 29, 907, 469, 382, 186, 800, 341, 876, 460, 298, 304, 449, 494, 883, 52, 929, 735, 189, 11, 239, 718, 456, 903, 192, 898, 730, 895, 694, 859, 62, 761, 324, 383, 206, 134, 605, 55, 815, 49, 925, 658, 512, 908, 790, 107, 417, 639, 801, 473, 338, 255, 348, 565, 870, 930, 487, 222, 468, 216, 434, 716, 592, 824, 834, 549, 933, 91, 487, 937, 18, 359, 893, 391, 381, 143, 727, 789, 427, 697, 840, 573, 746, 725, 460, 59, 865, 308, 130, 124, 219, 874, 135, 380, 636, 327, 37, 608, 710, 581, 546, 610, 330, 405, 384, 793, 568, 151, 110, 727, 742, 873, 380, 207, 236, 900, 308, 613, 913, 14, 283, 401, 721, 65, 437, 823, 785, 347, 824, 695, 470, 440, 659, 454, 432, 472, 142, 662, 714, 392, 290, 304, 315, 372, 657, 681, 41, 742, 626, 438, 874, 411, 911, 861, 592, 565, 309, 4, 439, 404, 202, 360, 200, 181, 822, 844, 430, 648, 439, 493, 508, 187, 309, 198, 821, 117, 828, 541, 440, 719, 89, 55, 734, 890, 637, 439, 776, 491, 384, 700, 19, 806, 766, 368, 474, 174, 247, 228, 153, 63, 682, 18, 21, 20, 544, 272, 116, 67, 121, 225, 577, 133, 758, 683, 387, 673, 807, 916, 466, 610, 204, 307, 839, 124, 860, 447, 309, 32, 92, 909, 602, 212, 53, 782, 611, 804, 846, 806, 458, 71, 282, 930, 702, 73, 462, 17, 839, 386, 681, 753, 851, 370, 890, 372, 832, 120, 69, 100, 424, 571, 693, 689, 568, 743, 500, 838, 249, 813, 123, 939, 62, 828, 795, 303, 375, 188, 823, 912, 300, 188, 591, 294, 523, 285, 818, 357, 560, 648, 23, 95, 812, 340, 892, 443, 460, 696, 630, 288, 851, 885, 702, 493, 819, 415, 122, 495, 101, 200, 558, 1, 271, 267, 704, 783, 848, 123, 506, 52, 594, 145, 656, 635, 302, 624, 96, 69, 38, 604, 45, 850, 664, 597, 412, 749, 367, 899, 341, 172, 359, 775, 15, 882, 770, 391, 927, 734, 887, 59, 815, 218, 792, 169, 32, 658, 548, 655, 77, 88, 70, 804, 574, 885, 284, 180, 926, 489, 344, 886, 549, 749, 86, 0, 757, 621, 7, 651, 371, 125, 677, 135, 103, 880, 74, 594, 680, 843, 107, 820, 780, 867, 167, 616, 919, 933, 423, 199, 498, 109, 886, 94, 555, 528, 270, 543, 484, 393, 673, 509, 264, 442, 499, 303, 712, 245, 431, 692, 836, 168, 566, 111, 619, 302, 512, 609, 674, 826, 254, 405, 487, 457, 873, 283, 83, 93, 320, 703, 556, 563, 787, 182, 438, 669, 92, 35, 143, 573, 95, 43, 676, 675, 893, 849, 207, 814, 446, 147, 805, 234, 567, 177, 310, 245, 260, 608, 252, 321, 544, 59, 736, 359, 142, 782, 637, 555, 758, 883, 62, 769, 784, 126, 610, 872, 43, 90, 424, 642, 842, 430, 275, 752, 127, 61, 265, 679, 300, 274, 176, 114, 383, 295, 468, 623, 811, 480, 595, 569, 879, 181, 602, 870, 54, 386, 19, 419, 459, 220, 251, 562, 72, 365, 311, 60, 581, 224, 766, 31, 865, 323, 856, 718, 174, 778, 64, 191, 509, 874, 118, 70, 816, 728, 396, 690, 251, 615, 598, 921, 86, 930, 781, 151, 915, 786, 311, 113, 880, 531, 37, 430, 540, 935, 903, 916, 485, 829, 362, 304, 34, 556, 42, 223, 322, 174, 203, 502, 676, 635, 324, 432, 815, 118, 906, 410, 861, 103, 383, 98, 603, 790, 30, 537, 276, 195, 726, 600, 423, 769, 858, 502, 322, 767, 27, 481, 923, 753, 406, 459, 836, 913, 74, 796, 67, 496, 364, 329, 416, 237, 918}

    {532, 638, 623, 379, 632, 173, 148, 170, 843, 513, 592, 589, 255, 476, 514, 99, 331, 497, 881, 279, 36, 799, 53, 842, 696, 106, 235, 162, 701, 783, 2, 654, 301, 263, 937, 192, 888, 132, 46, 752, 879, 239, 410, 572, 679, 248, 388, 689, 528, 554, 406, 729, 112, 129, 173, 684, 228, 628, 266, 242, 390, 299, 402, 702, 427, 378, 865, 737, 878, 145, 750, 551, 33, 937, 466, 478, 852, 356, 144, 152, 307, 862, 103, 286, 857, 705, 699, 887, 9, 823, 847, 642, 803, 127, 876, 444, 343, 771, 776, 912, 593, 498, 800, 889, 743, 649, 483, 208, 153, 117, 256, 908, 672, 158, 114, 878, 936, 195, 522, 455, 376, 306, 73, 759, 501, 844, 199, 625, 522, 284, 621, 742, 645, 256, 659, 147, 393, 149, 614, 773, 159, 479, 67, 307, 931, 577, 508, 259, 39, 126, 475, 247, 429, 852, 588, 536, 374, 721, 598, 504, 240, 209, 898, 882, 310, 693, 10, 363, 465, 845, 578, 394, 871, 508, 218, 65, 227, 376, 576, 792, 164, 635, 436, 179, 112, 1, 467, 646, 106, 259, 171, 712, 726, 293, 274, 422, 593, 577, 595, 44, 367, 542, 295, 180, 105, 373, 397, 337, 397, 477, 82, 812, 875, 691, 31, 49, 732, 145, 342, 34, 339, 794, 350, 135, 294, 183, 333, 93, 407, 22, 896, 932, 246, 743, 850, 568, 98, 26, 232, 566, 389, 206, 868, 587, 160, 786, 716, 6, 195, 112, 543, 695, 773, 184, 253, 297, 426, 376, 630, 39, 40, 600, 441, 797, 862, 575, 355, 759, 134, 563, 923, 919, 0, 710, 32, 81, 210, 55, 746, 840, 788, 84, 478, 491, 757, 739, 516, 85, 651, 320, 871, 707, 675, 166, 662, 665, 682, 332, 607, 212, 677, 706, 222, 762, 333, 533, 833, 89, 835, 534, 863, 13, 14, 918, 263, 396, 317, 888, 886, 844, 361, 442, 803, 644, 547, 361, 423, 860, 809, 741, 535, 550, 493, 685, 391, 529, 162, 801, 155, 627, 768, 847, 377, 296, 138, 890, 925, 28, 406, 136, 847, 15, 57, 448, 472, 545, 596, 490, 633, 631, 463, 56, 812, 853, 277, 910, 722, 57, 636, 665, 51, 722, 58, 586, 330, 161, 578, 131, 159, 409, 740, 244, 190, 78, 267, 721, 154, 208, 686, 845, 604, 928, 798, 875, 867, 905, 789, 464, 521, 233, 557, 399, 47, 664, 596, 247, 328, 163, 319, 72, 830, 928, 213, 400, 169, 642, 292, 433, 569, 201, 50, 308, 482, 184, 150, 213, 519, 791, 246, 557, 666, 532, 520, 171, 653, 10, 326, 58, 575, 729, 66, 201, 830, 453, 224, 825, 505, 738, 87, 450, 881, 345, 471, 632, 837, 550, 371, 891, 731, 820, 228, 516, 100, 178, 615, 346, 327, 202, 897, 618, 429, 448, 268, 749, 262, 152, 358, 90, 682, 371, 252, 444, 783, 738, 919, 481, 685, 736, 361, 190, 868, 105, 927, 42, 547, 148, 425, 16, 469, 744, 723, 705, 305, 655, 794, 400, 510, 136, 23, 306, 218, 167, 417, 328, 589, 879, 52, 213, 123, 265, 678, 509, 713, 354, 661, 506, 601, 184, 474, 606, 152, 591, 819, 453, 878, 833, 697, 260, 732, 381, 655, 643, 96, 198, 547, 897, 422, 558, 183, 373, 929, 335, 390, 275, 520, 672, 400, 651, 85, 237, 367, 45, 434, 902, 614, 369, 38, 667, 603, 512, 619, 607, 510, 141, 913, 237, 834, 378, 791, 311, 553, 117, 903, 125, 186, 694, 377, 158, 79, 379, 197, 165, 810, 909, 877, 612, 166, 667, 580, 54, 799, 267, 811, 280, 634, 11, 678, 124, 613, 727, 774, 884, 826, 914, 717, 486, 322, 268, 899, 82, 713, 496, 475, 83, 580, 813, 856, 703, 212, 688, 539, 732, 137, 454, 146, 365, 351, 517, 221, 102, 590, 664, 482, 764, 366, 837, 285, 710, 764, 87, 248, 790, 175, 88, 505, 90, 155, 6, 611, 841, 193, 397, 441, 490, 633, 324, 115, 608, 9, 550, 92, 863, 582, 226, 683, 855, 337, 768, 399, 671, 190, 24, 574, 77, 840, 125, 525, 115, 626, 229, 641, 717, 186, 515, 780, 715, 543, 849, 265, 157, 838, 717, 500, 446, 921, 827, 751, 797, 910, 821, 193, 116, 892, 687, 122, 519, 479, 88, 771, 713, 293, 789, 825, 624, 364, 735, 26, 464, 292, 584, 337, 841, 269, 382, 715, 616, 74, 483, 319, 699, 829, 613, 700, 325, 284, 928, 864, 48, 312, 285, 47, 641, 488, 690, 897, 386, 133, 17, 793, 276, 147, 707, 474, 674, 47, 744, 477, 939, 503, 58, 250, 796, 464, 130, 644, 863, 541, 692, 272, 197, 588, 709, 31, 161, 43, 701, 698, 788, 530, 342, 467, 116, 626, 80, 931, 232, 297, 363, 716, 640, 827, 477, 60, 880, 5, 817, 403, 44, 435, 852, 46, 571, 356, 231, 215, 891, 326, 373, 248, 2, 491, 904, 272, 907, 838, 570, 364, 793, 924, 366, 559, 817, 457, 787, 418, 653, 75, 301, 722, 398, 21, 534, 922, 778, 249, 573, 254, 370, 137, 488, 833, 219, 138, 489, 845, 280, 177, 392, 257, 708, 537, 620, 672, 214, 711, 209, 102, 575, 483, 618, 314, 517, 165, 628, 617, 119, 706, 777, 194, 932, 355, 250, 647, 667, 922, 336, 728, 734, 723, 234, 858, 445, 558, 425, 268, 779, 740, 724, 343, 75, 344, 617, 694, 409, 901, 496, 288, 561, 353, 366, 551, 140, 84, 274, 291, 666, 551, 17, 435, 935, 747, 205, 601, 244, 535, 835, 428, 217, 61, 801, 109, 451, 129, 276, 898, 787, 303, 503, 297, 808, 45, 559, 30, 473, 590, 900, 622, 649, 219, 896, 832, 772, 3, 100, 829, 518, 475, 280, 599, 931, 513, 411, 68, 480, 461, 846, 853, 860, 582, 638, 869, 283, 0, 420, 895, 530, 454, 826, 858, 429, 559, 471, 604, 697, 788, 261, 286, 766, 761, 482, 643, 867, 323, 725, 899, 28, 326, 687, 342, 799, 866, 443, 408, 759, 894, 814, 765, 136, 102, 773, 262, 814, 523, 253, 271, 351, 755, 851, 623, 745, 51, 167, 599, 724, 438, 101, 179, 810, 696, 745, 661, 321, 249, 350, 444, 750, 892, 175, 107, 97, 472, 210, 427, 115, 2, 616, 861, 8, 199, 476, 652, 618, 339, 390, 94, 385, 668, 241, 668, 173, 846, 42, 131, 912, 750, 258, 622, 130, 730, 532, 232, 348, 156, 419, 670, 328, 678, 703, 104, 121, 290, 762, 757, 841, 869, 335, 560, 99, 395, 76, 389, 139, 140, 263, 636, 599, 108, 578, 25, 170, 377, 48, 816, 369, 250, 264, 740, 87, 527, 336, 926, 762, 798, 5, 553, 191, 708, 98, 465, 525, 542, 920, 625, 442, 818, 205, 527, 358, 416, 68, 312, 197, 504, 25, 647, 917, 169, 441, 185, 200, 885, 121, 408, 27, 673, 650, 467, 671, 408, 209, 404, 64, 533, 663, 596, 900, 154, 646, 738, 640, 834, 374, 131, 746, 312, 345, 201, 621, 807, 748, 751, 871, 79, 266, 358, 553, 538, 479, 545, 437, 292, 574, 412, 171, 428, 343, 229, 370, 888, 471, 146, 129, 629, 737, 73, 113, 540, 591, 585, 630, 331, 751, 4, 235, 632, 620, 542, 657, 530, 158, 581, 633, 266, 685, 420, 939, 882, 922, 431, 231, 583, 554, 231, 660, 535, 584, 253, 518, 597, 926, 752, 715, 220, 507, 631, 936, 227, 570, 605, 345, 723, 562, 754, 534, 182, 70, 855, 317, 256, 35, 763, 28, 105, 909, 754, 428, 382, 564, 226, 818, 857, 346, 733, 893, 398, 431, 296, 855, 385, 78, 94, 335, 16, 150, 111, 132, 176, 517, 869, 330, 221, 233, 839, 525, 853, 26, 794, 605, 440, 505, 273, 63, 433, 53, 278, 631, 849, 277, 399, 461, 421, 924, 352, 910, 134, 418, 33, 612, 768, 269, 409, 114, 1, 7, 864, 561, 656, 306, 448, 339, 811, 529, 666, 240, 837, 288, 875, 935, 674, 938, 389, 257, 748, 48, 507, 650, 223, 196, 747, 756, 204, 662, 800, 172, 161, 668, 580, 351, 894, 763, 29, 226, 233, 85, 688, 426, 763, 279, 224, 643, 733, 625, 901, 49, 316, 415, 876, 104, 832, 681, 669, 560, 80, 739, 862, 222, 111, 332, 640, 835, 585, 507, 144, 628, 647, 453, 83, 730, 689, 363, 314, 595, 663, 536, 627, 719, 424, 683, 242, 196, 194, 612, 336, 649, 748, 798, 677, 214, 106, 141}

    Returns: {1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1 }

  70. 880

    {673, 406, 117, 492, 224, 184, 166, 44, 23, 408, 613, 487, 389, 14, 561, 386, 25, 63, 61, 482, 760, 412, 733, 564, 212, 282, 301, 284, 751, 705, 813, 750, 869, 840, 568, 41, 682, 633, 846, 267, 425, 591, 627, 262, 476, 559, 602, 879, 333, 396, 686, 840, 291, 55, 450, 808, 230, 527, 310, 117, 237, 179, 830, 124, 382, 328, 815, 0, 789, 821, 13, 443, 32, 147, 567, 673, 582, 689, 631, 570, 701, 472, 255, 460, 176, 104, 729, 819, 382, 661, 438, 61, 545, 769, 154, 783, 573, 317, 264, 860, 417, 791, 806, 606, 56, 614, 560, 101, 537, 687, 360, 16, 268, 805, 702, 38, 297, 590, 515, 197, 691, 25, 29, 394, 690, 826, 70, 771, 445, 23, 854, 481, 297, 715, 400, 846, 667, 516, 680, 722, 530, 461, 542, 452, 344, 782, 475, 574, 735, 92, 366, 396, 45, 796, 654, 859, 145, 147, 353, 532, 811, 352, 850, 458, 93, 580, 65, 47, 88, 705, 33, 870, 368, 164, 185, 692, 527, 261, 513, 123, 562, 33, 496, 27, 761, 592, 690, 861, 377, 244, 24, 216, 423, 105, 350, 674, 577, 772, 281, 352, 474, 129, 630, 36, 231, 246, 599, 5, 422, 462, 604, 191, 20, 398, 0, 401, 381, 429, 771, 191, 128, 477, 384, 40, 576, 216, 574, 490, 587, 697, 102, 196, 588, 646, 793, 195, 434, 131, 338, 665, 22, 746, 30, 199, 215, 818, 731, 323, 448, 726, 780, 508, 291, 343, 109, 432, 87, 241, 392, 274, 506, 30, 596, 132, 117, 93, 56, 711, 408, 224, 604, 376, 622, 360, 155, 875, 430, 228, 431, 80, 831, 123, 82, 464, 258, 833, 537, 438, 458, 770, 854, 42, 855, 561, 743, 863, 672, 368, 780, 141, 152, 618, 214, 392, 149, 103, 661, 752, 20, 443, 503, 461, 473, 290, 388, 79, 635, 244, 478, 848, 195, 554, 611, 790, 30, 682, 43, 71, 823, 651, 378, 235, 866, 674, 235, 585, 595, 52, 217, 727, 260, 499, 592, 772, 6, 763, 809, 37, 852, 797, 367, 111, 239, 460, 811, 500, 795, 443, 647, 547, 142, 114, 824, 652, 67, 130, 244, 665, 397, 351, 703, 95, 530, 767, 737, 198, 382, 58, 314, 576, 345, 248, 778, 662, 742, 328, 275, 638, 700, 565, 405, 593, 643, 726, 779, 740, 96, 476, 731, 589, 728, 302, 489, 723, 51, 76, 115, 609, 769, 550, 637, 511, 210, 832, 327, 409, 578, 730, 720, 629, 32, 389, 290, 630, 87, 8, 754, 822, 687, 309, 834, 186, 175, 739, 329, 501, 50, 522, 534, 232, 82, 837, 334, 820, 624, 468, 178, 278, 146, 814, 94, 68, 321, 447, 868, 64, 99, 697, 756, 652, 763, 355, 587, 428, 10, 614, 345, 752, 359, 773, 628, 245, 188, 669, 685, 179, 442, 309, 451, 792, 222, 718, 152, 456, 283, 719, 718, 226, 380, 332, 157, 76, 194, 27, 442, 629, 57, 337, 404, 337, 605, 65, 421, 798, 767, 292, 781, 654, 816, 571, 88, 411, 604, 818, 595, 599, 682, 63, 879, 40, 723, 398, 648, 773, 303, 696, 200, 321, 717, 468, 486, 641, 858, 42, 299, 149, 658, 372, 767, 162, 816, 858, 358, 712, 37, 619, 459, 474, 412, 59, 598, 389, 684, 370, 535, 66, 234, 0, 349, 801, 579, 247, 596, 272, 326, 685, 442, 679, 743, 120, 603, 427, 801, 645, 490, 154, 613, 295, 551, 664, 204, 489, 494, 164, 254, 216, 50, 130, 409, 876, 836, 447, 877, 649, 86, 5, 220, 205, 777, 619, 56, 863, 118, 848, 489, 513, 7, 692, 655, 605, 7, 867, 866, 546, 26, 415, 601, 754, 83, 705, 555, 485, 745, 613, 665, 171, 777, 554, 274, 564, 176, 257, 68, 354, 826, 615, 393, 714, 52, 689, 644, 271, 770, 864, 171, 621, 49, 79, 158, 58, 245, 133, 523, 578, 230, 367, 298, 387, 462, 189, 817, 617, 761, 879, 555, 537, 775, 783, 675, 826, 147, 133, 539, 297, 771, 395, 488, 256, 600, 214, 163, 645, 410, 743, 607, 670, 356, 264, 467, 421, 520, 409, 819, 576, 809, 156, 516, 44, 574, 281, 836, 788, 791, 9, 186, 465, 276, 265, 740, 617, 15, 398, 48, 100, 317, 383, 34, 369, 186, 416, 269, 301, 571, 237, 256, 15, 339, 132, 54, 91, 279, 377, 152, 300, 523, 173, 252, 706, 722, 288, 864, 795, 273, 67, 562, 662, 104, 778, 446, 141, 206, 509, 748, 47, 748, 510, 577, 332, 249, 373, 83, 234, 849, 6, 730, 424, 825, 305, 486, 696, 540, 158, 207, 410, 386, 146, 133, 465, 115, 286, 506, 727, 4, 54, 511, 792, 554, 307, 206, 364, 1, 550, 819, 533, 295, 304, 371, 847, 211, 367, 849, 413, 650, 237, 493, 275, 24, 620, 510, 157, 556, 713, 644, 368, 653, 504, 151, 48, 625, 800, 839, 601, 858, 738, 75, 662, 258, 588, 807, 276, 52, 380, 810, 479, 717, 738, 669, 53, 517, 559, 330, 770, 633, 63, 699, 176, 148, 319, 407, 305, 451, 481, 525, 711, 111, 355, 326, 354, 464, 657, 639, 607, 375, 34, 816, 732, 789, 673, 288, 515, 622, 847, 704, 405, 491, 246, 681, 519, 702, 651, 447, 749, 316, 754, 70, 808, 71, 62, 842, 459, 840, 342, 724, 41, 93, 444, 800, 433, 416, 797, 358, 836, 207, 768, 862, 480, 742, 23, 58, 97, 686, 482, 363, 760, 783, 239, 693, 157, 851, 831, 679, 774, 343, 84, 435, 73, 853, 853, 595, 869, 300, 404, 424, 76, 865, 273, 423, 535, 403, 420, 805, 601, 631, 850, 538, 509, 842, 683, 587, 17, 619, 786, 491, 724, 535, 560, 18, 502, 655, 449, 197, 453, 29, 639, 219, 716, 616, 571, 231, 779, 590, 812, 711, 204, 148, 75, 450, 828, 589, 277, 473, 467, 776, 439, 455, 221, 450, 617, 55, 280, 658, 286, 15, 841, 607, 92, 378, 349, 448, 553, 381, 456, 794, 641, 1, 278, 465, 319, 664, 702, 59, 497, 820, 854, 128, 687, 454, 78, 470, 830, 250, 70, 438, 762, 64, 173, 215, 721, 74, 90, 674, 339, 258, 85, 623, 128, 385, 206, 188, 322, 331, 822, 837, 340, 411, 264, 156, 384, 343, 125, 585, 823, 159, 726, 104, 287, 116, 622, 38, 87, 653, 25, 360, 408, 774, 221, 291, 394, 834, 608, 733, 261, 793, 457, 482, 357, 256, 192, 541, 403, 850, 401, 203, 72, 183, 172, 348, 185, 820, 141, 289, 325, 795, 547, 18, 357, 349, 636, 50, 552, 561, 260, 376, 807, 853, 441, 824, 217, 163, 455, 661, 153, 39, 81, 722, 378, 660, 593, 331, 600, 852, 502, 472, 159, 198, 307, 179, 751, 151, 497, 818, 448, 41, 739, 698, 527, 285, 362, 122, 262, 182, 259, 90, 811, 100, 649, 766, 671, 315, 817, 362, 108, 706, 857, 153, 135, 868, 243, 131, 594, 763, 755, 284, 417, 701, 305, 46, 524, 95, 637, 799, 114, 667, 299, 170, 327, 506, 746, 91, 394, 724, 31, 581, 835, 8, 721, 136, 588, 694, 500, 66, 584, 16, 127, 114, 287, 90, 278, 94, 729, 845, 646, 507, 798, 570, 325, 303, 658, 391, 426, 339, 314, 354, 46, 725, 441, 748, 556, 496, 162, 656, 154, 391, 127, 218, 539, 429, 481, 556, 274, 551, 802, 125, 664, 44, 221, 227, 694, 325, 201, 483, 151, 400, 268, 276, 454, 532, 280, 505, 214, 415, 317, 396, 326, 211, 106, 657, 161, 261, 800, 127, 706, 9, 22, 65, 403, 449, 688, 250, 531, 101, 239, 838, 645, 13, 267, 31, 373, 218, 230, 335, 490, 329, 68, 656, 780, 599, 32, 257, 194, 717, 302, 161, 212, 510, 521, 472, 542, 10, 164, 376, 2, 474, 227, 315, 323, 830, 283, 209, 148, 109, 336, 99, 302, 752, 418, 184, 118, 688, 289}

    {346, 306, 871, 873, 708, 725, 798, 143, 370, 692, 327, 39, 324, 695, 568, 2, 525, 799, 371, 513, 232, 487, 222, 839, 9, 165, 737, 758, 549, 260, 424, 495, 495, 300, 229, 51, 680, 485, 351, 871, 710, 544, 48, 477, 397, 642, 399, 514, 347, 383, 429, 255, 132, 292, 116, 435, 277, 517, 793, 552, 417, 113, 5, 8, 180, 457, 437, 487, 379, 140, 573, 581, 866, 823, 139, 412, 126, 782, 370, 781, 427, 16, 312, 379, 792, 369, 843, 434, 215, 876, 433, 666, 419, 316, 419, 421, 829, 149, 34, 569, 310, 470, 119, 572, 878, 679, 699, 72, 470, 171, 549, 35, 17, 223, 172, 602, 24, 597, 81, 488, 803, 4, 802, 784, 232, 54, 620, 732, 736, 631, 520, 420, 499, 785, 741, 121, 223, 594, 251, 432, 388, 120, 85, 531, 47, 459, 374, 539, 134, 640, 649, 340, 150, 415, 507, 430, 787, 529, 731, 420, 14, 672, 94, 112, 222, 484, 778, 353, 796, 269, 857, 498, 697, 381, 446, 413, 391, 12, 279, 720, 621, 716, 395, 566, 519, 670, 707, 242, 618, 82, 807, 303, 185, 202, 872, 558, 399, 60, 12, 741, 418, 757, 363, 263, 719, 735, 863, 504, 547, 453, 59, 491, 39, 789, 137, 105, 596, 623, 37, 634, 304, 707, 53, 107, 637, 598, 122, 190, 669, 484, 352, 174, 155, 205, 813, 419, 242, 166, 28, 802, 738, 808, 379, 311, 180, 26, 344, 861, 600, 413, 163, 632, 511, 170, 252, 543, 43, 318, 610, 614, 384, 648, 228, 469, 449, 451, 825, 71, 426, 791, 683, 211, 362, 745, 689, 6, 787, 98, 436, 765, 103, 684, 790, 440, 642, 165, 224, 729, 304, 210, 735, 875, 236, 307, 756, 372, 639, 608, 835, 212, 781, 329, 766, 494, 518, 95, 779, 869, 346, 605, 296, 106, 824, 534, 518, 31, 471, 815, 390, 80, 545, 688, 236, 375, 234, 235, 586, 181, 97, 249, 690, 627, 207, 698, 251, 496, 120, 295, 651, 199, 742, 463, 612, 541, 670, 659, 290, 732, 298, 521, 875, 698, 821, 333, 623, 129, 567, 130, 293, 252, 634, 109, 503, 193, 361, 591, 11, 257, 284, 55, 466, 177, 73, 492, 190, 677, 851, 710, 719, 762, 311, 873, 872, 85, 814, 572, 425, 668, 139, 502, 505, 200, 583, 315, 755, 776, 377, 758, 277, 765, 119, 696, 320, 259, 168, 359, 358, 753, 359, 390, 762, 691, 759, 240, 860, 435, 194, 240, 462, 201, 348, 458, 338, 105, 125, 835, 582, 815, 406, 841, 756, 169, 333, 69, 575, 461, 162, 69, 28, 586, 283, 432, 626, 636, 294, 532, 666, 441, 581, 313, 220, 158, 294, 616, 871, 308, 113, 530, 583, 66, 410, 500, 553, 183, 609, 859, 727, 495, 557, 525, 632, 270, 103, 110, 346, 99, 693, 755, 564, 538, 512, 794, 467, 501, 375, 528, 678, 797, 126, 292, 862, 1, 60, 773, 533, 799, 197, 165, 870, 704, 374, 350, 747, 134, 248, 846, 19, 386, 578, 550, 240, 402, 635, 91, 299, 786, 867, 411, 519, 108, 169, 175, 347, 4, 536, 167, 143, 159, 139, 89, 365, 603, 615, 612, 106, 580, 644, 734, 873, 202, 60, 563, 620, 21, 744, 437, 3, 288, 20, 7, 536, 335, 167, 233, 219, 203, 460, 685, 431, 608, 213, 544, 714, 121, 473, 483, 577, 308, 287, 238, 844, 168, 580, 597, 428, 195, 569, 182, 794, 253, 638, 772, 225, 714, 463, 776, 579, 247, 864, 312, 79, 188, 469, 843, 747, 704, 775, 213, 563, 790, 267, 108, 124, 753, 452, 160, 635, 764, 335, 591, 683, 373, 803, 678, 676, 832, 205, 126, 77, 814, 833, 266, 549, 860, 703, 306, 615, 153, 308, 522, 663, 144, 516, 736, 405, 138, 280, 98, 508, 713, 618, 324, 759, 821, 406, 72, 187, 236, 594, 275, 775, 787, 736, 452, 67, 592, 144, 174, 167, 784, 184, 486, 514, 355, 282, 385, 784, 285, 177, 196, 97, 64, 204, 254, 744, 585, 633, 387, 168, 345, 493, 524, 319, 643, 498, 42, 642, 475, 19, 331, 246, 46, 454, 341, 28, 248, 21, 593, 638, 136, 855, 208, 385, 828, 259, 77, 268, 725, 598, 504, 265, 347, 867, 734, 73, 340, 544, 758, 723, 701, 313, 659, 478, 715, 191, 318, 534, 330, 142, 676, 160, 407, 660, 849, 445, 36, 464, 468, 161, 656, 749, 227, 270, 344, 101, 439, 476, 521, 856, 334, 173, 18, 589, 361, 609, 509, 837, 121, 526, 680, 241, 175, 876, 671, 322, 310, 78, 243, 555, 720, 296, 624, 348, 428, 253, 475, 859, 817, 844, 872, 53, 766, 566, 505, 330, 663, 573, 357, 263, 414, 769, 478, 861, 543, 45, 324, 844, 342, 266, 671, 255, 293, 700, 813, 118, 710, 463, 666, 628, 314, 777, 3, 575, 388, 49, 365, 22, 251, 208, 730, 69, 630, 562, 728, 647, 851, 559, 842, 254, 610, 218, 582, 129, 843, 667, 806, 219, 827, 187, 356, 803, 92, 57, 201, 548, 538, 17, 183, 575, 677, 512, 718, 566, 716, 558, 810, 540, 445, 422, 436, 172, 507, 437, 146, 541, 744, 648, 483, 528, 431, 560, 610, 365, 174, 387, 166, 707, 757, 672, 636, 675, 140, 557, 380, 641, 364, 33, 765, 3, 155, 841, 225, 565, 625, 522, 440, 796, 721, 208, 350, 178, 611, 877, 572, 709, 709, 269, 233, 425, 529, 695, 279, 202, 43, 86, 364, 399, 231, 180, 675, 430, 625, 852, 829, 414, 518, 115, 603, 501, 750, 804, 253, 715, 316, 107, 189, 553, 423, 321, 678, 700, 401, 233, 270, 663, 150, 782, 471, 856, 494, 822, 107, 196, 845, 110, 119, 628, 203, 497, 825, 266, 123, 298, 102, 856, 181, 831, 390, 709, 312, 524, 35, 857, 122, 225, 764, 289, 626, 10, 361, 296, 570, 536, 542, 786, 272, 848, 833, 272, 397, 407, 226, 83, 804, 404, 759, 681, 657, 774, 446, 98, 238, 89, 371, 557, 768, 241, 659, 870, 400, 471, 271, 217, 131, 112, 306, 242, 878, 708, 282, 170, 61, 479, 341, 145, 263, 193, 366, 548, 839, 111, 338, 356, 439, 695, 655, 708, 36, 177, 88, 86, 11, 533, 156, 629, 247, 383, 827, 29, 262, 640, 529, 712, 764, 393, 834, 753, 728, 543, 477, 517, 27, 751, 293, 788, 351, 877, 220, 643, 484, 584, 136, 785, 676, 160, 336, 142, 89, 320, 712, 189, 213, 652, 138, 190, 741, 469, 110, 249, 828, 80, 810, 223, 444, 508, 568, 81, 526, 363, 878, 336, 313, 488, 499, 178, 26, 540, 526, 874, 865, 309, 829, 137, 436, 38, 760, 19, 143, 285, 788, 466, 845, 812, 838, 243, 229, 135, 745, 806, 112, 606, 427, 416, 584, 558, 49, 747, 74, 668, 681, 150, 169, 739, 686, 455, 433, 311, 612, 426, 265, 699, 734, 546, 181, 209, 113, 78, 677, 134, 294, 737, 804, 393, 785, 51, 198, 749, 597, 616, 341, 402, 422, 567, 238, 466, 569, 827, 140, 694, 273, 210, 855, 374, 874, 493, 479, 12, 713, 768, 514, 193, 512, 13, 865, 444, 583, 733, 328, 245, 366, 565, 579, 2, 520, 660, 757, 740, 96, 653, 647, 809, 418, 523, 414, 318, 457, 62, 138, 640, 646, 480, 545, 187, 100, 632, 668, 14, 551, 621, 145, 192, 144, 586, 654, 200, 332, 805, 606, 761, 402, 137, 74, 102, 392, 342, 323, 546, 369, 634, 199, 322, 801, 492, 503, 57, 456, 515, 693, 281, 832, 372, 192, 334, 548, 226, 624, 868, 812, 703, 320, 563, 746, 21, 590, 84, 552, 611, 627, 45, 353, 271, 301, 96, 838, 862, 124, 40, 691, 250, 531, 650, 453, 602, 626, 182, 286, 84, 395, 116, 228, 485, 498, 480, 650, 75, 434, 337, 11, 35, 847, 440, 229, 135, 684, 750, 528, 77, 874, 209, 62}

    Returns: {0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0 }

  71. 920

    {584, 737, 741, 284, 240, 916, 194, 182, 179, 411, 544, 727, 511, 363, 787, 478, 323, 873, 62, 863, 152, 252, 601, 218, 94, 442, 581, 18, 321, 738, 590, 338, 110, 875, 840, 241, 706, 67, 881, 656, 230, 815, 366, 491, 332, 435, 873, 863, 286, 487, 677, 571, 190, 65, 496, 648, 175, 58, 842, 701, 152, 302, 645, 400, 195, 903, 716, 826, 615, 47, 708, 615, 276, 124, 155, 870, 871, 673, 549, 37, 58, 596, 221, 902, 446, 671, 841, 616, 500, 497, 891, 106, 507, 637, 900, 648, 556, 846, 26, 711, 652, 408, 797, 281, 62, 117, 135, 172, 334, 194, 541, 704, 503, 606, 880, 372, 795, 305, 551, 744, 599, 684, 500, 89, 520, 195, 206, 708, 397, 595, 619, 818, 869, 406, 779, 122, 867, 496, 23, 54, 297, 455, 587, 45, 438, 545, 632, 86, 658, 418, 673, 380, 838, 67, 863, 450, 295, 148, 567, 192, 154, 72, 882, 687, 166, 725, 705, 117, 310, 525, 25, 309, 813, 541, 429, 714, 192, 810, 257, 219, 209, 108, 359, 614, 126, 522, 258, 86, 747, 726, 160, 113, 269, 248, 343, 24, 277, 814, 296, 19, 147, 798, 255, 726, 892, 651, 870, 142, 309, 764, 347, 397, 374, 94, 603, 604, 571, 583, 19, 428, 839, 773, 181, 610, 674, 277, 624, 215, 282, 642, 912, 168, 917, 599, 703, 116, 24, 585, 423, 651, 685, 539, 238, 285, 138, 130, 805, 463, 175, 489, 855, 879, 344, 228, 864, 395, 836, 312, 700, 834, 691, 586, 904, 86, 247, 433, 645, 755, 482, 249, 46, 341, 428, 227, 580, 383, 857, 370, 179, 708, 339, 365, 392, 535, 503, 830, 596, 866, 561, 702, 290, 431, 449, 25, 39, 821, 174, 250, 350, 143, 185, 251, 796, 377, 646, 128, 427, 578, 720, 332, 244, 251, 231, 36, 525, 11, 501, 103, 887, 71, 498, 419, 18, 17, 789, 225, 271, 590, 24, 166, 328, 44, 523, 460, 16, 545, 268, 125, 314, 603, 659, 69, 167, 892, 518, 722, 718, 852, 96, 50, 350, 536, 198, 32, 725, 213, 120, 437, 910, 141, 655, 56, 489, 10, 2, 846, 592, 585, 42, 886, 857, 598, 852, 867, 466, 756, 444, 158, 277, 439, 154, 244, 234, 737, 907, 715, 776, 880, 152, 112, 856, 635, 721, 665, 428, 898, 424, 767, 533, 413, 479, 516, 808, 98, 78, 552, 872, 72, 917, 685, 248, 237, 396, 424, 844, 617, 897, 877, 454, 492, 292, 867, 821, 374, 3, 678, 806, 694, 666, 749, 268, 623, 697, 162, 696, 686, 726, 146, 894, 884, 161, 862, 130, 769, 672, 412, 864, 224, 240, 575, 715, 234, 336, 723, 579, 209, 174, 751, 410, 570, 795, 627, 904, 307, 232, 840, 730, 882, 835, 465, 150, 389, 318, 0, 568, 255, 23, 485, 137, 852, 838, 319, 125, 494, 53, 883, 221, 47, 457, 580, 625, 762, 115, 854, 177, 316, 379, 506, 433, 649, 245, 212, 770, 522, 422, 909, 264, 262, 75, 871, 317, 461, 856, 550, 372, 889, 830, 171, 291, 296, 268, 612, 627, 290, 567, 373, 234, 584, 343, 19, 502, 771, 596, 306, 272, 119, 255, 169, 460, 470, 260, 530, 808, 554, 753, 113, 212, 686, 388, 85, 162, 92, 909, 448, 275, 721, 146, 427, 661, 161, 682, 208, 583, 781, 264, 911, 605, 310, 680, 495, 577, 547, 484, 466, 618, 836, 185, 909, 622, 303, 763, 499, 879, 271, 105, 606, 533, 883, 85, 886, 594, 482, 278, 127, 308, 641, 106, 465, 229, 734, 470, 130, 528, 800, 80, 822, 872, 48, 88, 358, 389, 566, 258, 205, 9, 280, 519, 515, 573, 895, 318, 69, 834, 464, 690, 66, 820, 387, 357, 319, 621, 692, 521, 60, 244, 511, 824, 484, 220, 701, 896, 831, 513, 28, 149, 803, 366, 12, 219, 156, 464, 591, 303, 702, 379, 192, 201, 141, 904, 624, 364, 850, 134, 777, 888, 662, 668, 519, 59, 131, 758, 89, 250, 207, 249, 402, 368, 670, 302, 680, 338, 842, 696, 187, 660, 636, 491, 22, 376, 763, 35, 518, 872, 666, 140, 381, 357, 100, 90, 646, 751, 401, 35, 851, 812, 809, 551, 405, 844, 832, 669, 456, 811, 750, 321, 632, 265, 638, 608, 315, 629, 694, 365, 842, 64, 304, 684, 203, 516, 898, 312, 110, 361, 435, 900, 98, 704, 387, 908, 690, 381, 816, 272, 131, 609, 858, 173, 687, 204, 0, 49, 839, 664, 28, 333, 320, 196, 71, 685, 207, 497, 790, 98, 414, 424, 142, 132, 705, 445, 532, 167, 170, 22, 609, 826, 291, 856, 557, 868, 394, 553, 461, 342, 631, 563, 681, 425, 858, 880, 522, 698, 676, 693, 851, 120, 256, 81, 29, 7, 149, 174, 864, 777, 483, 121, 419, 170, 228, 107, 18, 257, 411, 847, 543, 109, 444, 868, 613, 544, 146, 766, 109, 782, 451, 771, 633, 626, 193, 68, 765, 421, 238, 901, 888, 393, 810, 788, 235, 113, 53, 373, 189, 701, 914, 723, 746, 652, 506, 780, 82, 70, 87, 269, 147, 276, 280, 836, 535, 421, 52, 787, 633, 190, 688, 757, 720, 547, 274, 299, 426, 786, 754, 89, 592, 16, 30, 889, 225, 504, 437, 447, 471, 340, 655, 284, 901, 725, 673, 652, 510, 87, 304, 320, 531, 352, 676, 233, 908, 78, 99, 610, 313, 246, 409, 669, 127, 553, 132, 735, 606, 514, 623, 794, 714, 580, 745, 716, 425, 207, 117, 367, 473, 462, 840, 883, 34, 905, 173, 347, 7, 584, 654, 411, 475, 164, 473, 656, 528, 812, 874, 643, 789, 538, 260, 83, 463, 641, 339, 912, 48, 97, 67, 560, 600, 695, 77, 670, 201, 184, 906, 214, 253, 111, 95, 379, 242, 773, 275, 732, 565, 163, 621, 241, 453, 221, 477, 544, 657, 270, 232, 642, 896, 638, 555, 562, 46, 421, 884, 220, 420, 689, 820, 684, 147, 447, 515, 637, 752, 1, 148, 356, 439, 284, 288, 597, 199, 879, 894, 164, 763, 164, 162, 918, 14, 191, 714, 197, 157, 676, 241, 335, 386, 451, 478, 651, 530, 36, 235, 653, 838, 461, 4, 31, 254, 111, 438, 843, 135, 881, 177, 254, 214, 778, 64, 634, 2, 415, 462, 371, 30, 597, 579, 744, 594, 217, 443, 723, 627, 61, 275, 557, 777, 828, 370, 690, 912, 353, 916, 884, 449, 434, 546, 14, 479, 908, 561, 40, 915, 40, 779, 33, 445, 843, 534, 827, 399, 874, 645, 79, 223, 126, 832, 153, 566, 760, 755, 194, 906, 479, 747, 52, 82, 391, 129, 498, 790, 497, 206, 288, 160, 837, 198, 855, 608, 260, 224, 210, 106, 482, 642, 7, 626, 885, 830, 535, 137, 77, 73, 686, 8, 382, 683, 300, 696, 560, 96, 144, 758, 127, 469, 305, 432, 742, 520, 557, 911, 29, 536, 612, 38, 308, 677, 187, 163, 336, 664, 136, 779, 225, 629, 303, 32, 591, 301, 602, 508, 601, 697, 254, 159, 369, 689, 626, 315, 512, 34, 719, 426, 279, 742, 438, 905, 149, 561, 638, 139, 347, 289, 371, 338, 274, 570, 608, 887, 518, 843, 655, 623, 761, 716, 474, 210, 828, 390, 632, 436, 136, 315, 6, 550, 180, 71, 610, 449, 122, 471, 815, 526, 589, 215, 191, 788, 70, 798, 613, 193, 62, 492, 203, 141, 310, 857, 383, 416, 745, 54, 459, 140, 581, 692, 272, 568, 169, 297, 711, 403, 155, 459, 265, 116, 622, 558, 893, 603, 876, 161, 821, 0, 335, 728, 165, 228, 815, 427, 711, 2, 455, 831, 364, 337, 248, 354, 153, 811, 563, 594, 252, 371, 583, 816, 256, 49, 719, 263, 203, 774, 369, 511, 380, 37, 653, 392, 860, 753, 74, 508, 261, 728, 142, 758, 38, 503, 317, 224, 600, 811, 658, 822, 694, 624, 180, 97, 309, 875, 662, 619, 413, 412, 49, 412, 669, 512, 103, 276, 625, 74, 61, 817, 340, 762, 245, 298, 124, 17, 69, 65, 434, 52, 523, 517, 410, 520, 769, 677, 574, 399, 687, 206, 465, 180, 611, 256, 10, 360, 452, 53, 386, 422, 697, 377, 201, 665, 762, 44, 718, 336, 390, 87, 556, 563, 728, 581, 418, 406, 468, 918, 429, 519, 795, 85}

    {59, 253, 80, 431, 458, 848, 907, 415, 227, 82, 236, 407, 538, 816, 517, 672, 240, 799, 692, 793, 800, 699, 646, 351, 100, 542, 742, 735, 854, 189, 417, 549, 682, 407, 916, 782, 238, 250, 252, 914, 213, 691, 4, 348, 139, 123, 37, 261, 732, 348, 783, 59, 101, 564, 282, 671, 351, 772, 440, 223, 205, 698, 359, 572, 184, 705, 171, 644, 868, 358, 480, 355, 605, 667, 648, 306, 510, 73, 322, 799, 211, 304, 539, 78, 39, 155, 271, 123, 542, 314, 918, 233, 644, 487, 153, 845, 754, 778, 713, 349, 824, 257, 70, 417, 833, 633, 239, 731, 56, 891, 452, 316, 242, 392, 157, 575, 403, 323, 901, 591, 576, 204, 706, 399, 729, 898, 495, 839, 101, 178, 115, 743, 72, 681, 781, 617, 634, 299, 668, 700, 489, 537, 135, 425, 422, 159, 321, 99, 621, 388, 103, 850, 120, 395, 492, 891, 759, 878, 90, 361, 786, 722, 287, 882, 210, 593, 604, 279, 812, 502, 724, 773, 186, 134, 294, 899, 577, 31, 733, 73, 555, 802, 791, 548, 895, 8, 95, 688, 466, 159, 239, 57, 329, 495, 66, 437, 905, 137, 168, 618, 68, 647, 470, 768, 214, 270, 611, 699, 143, 853, 844, 649, 733, 281, 915, 653, 417, 129, 820, 554, 480, 775, 636, 365, 802, 313, 413, 208, 859, 346, 435, 330, 91, 760, 480, 855, 341, 188, 274, 297, 602, 23, 698, 607, 176, 88, 273, 202, 218, 398, 75, 736, 505, 659, 611, 104, 344, 289, 548, 448, 783, 858, 430, 903, 630, 209, 570, 484, 502, 663, 283, 102, 46, 473, 420, 372, 163, 68, 404, 703, 200, 108, 337, 45, 172, 65, 631, 133, 178, 20, 772, 559, 80, 278, 177, 298, 352, 613, 237, 775, 713, 803, 322, 182, 740, 330, 446, 630, 403, 741, 289, 43, 650, 665, 552, 311, 679, 588, 577, 637, 750, 63, 609, 50, 3, 494, 848, 100, 700, 266, 343, 849, 293, 123, 801, 768, 628, 910, 568, 704, 136, 334, 329, 540, 803, 889, 229, 454, 246, 222, 640, 593, 824, 298, 770, 28, 27, 29, 345, 601, 756, 509, 56, 145, 897, 333, 216, 874, 460, 35, 292, 675, 219, 331, 349, 375, 804, 810, 869, 829, 695, 312, 485, 296, 724, 663, 385, 198, 453, 849, 431, 792, 814, 342, 283, 573, 630, 51, 409, 471, 661, 342, 378, 99, 885, 582, 351, 313, 381, 900, 717, 640, 481, 16, 817, 892, 176, 662, 21, 793, 441, 508, 48, 408, 346, 220, 331, 211, 525, 659, 128, 827, 481, 134, 538, 536, 545, 353, 490, 483, 625, 196, 463, 453, 607, 418, 822, 876, 539, 913, 559, 447, 667, 165, 295, 813, 400, 825, 229, 359, 391, 96, 681, 759, 919, 765, 197, 870, 27, 464, 456, 101, 650, 832, 9, 402, 323, 324, 721, 451, 835, 818, 158, 107, 196, 261, 305, 119, 505, 693, 740, 894, 385, 247, 446, 913, 727, 396, 186, 190, 353, 649, 639, 360, 620, 119, 344, 393, 853, 259, 524, 907, 586, 760, 890, 869, 322, 20, 83, 628, 737, 499, 93, 877, 593, 156, 324, 281, 402, 295, 582, 469, 319, 259, 893, 216, 328, 736, 432, 878, 826, 178, 337, 283, 647, 757, 150, 837, 84, 756, 689, 301, 369, 21, 847, 41, 512, 204, 787, 133, 364, 524, 670, 325, 457, 785, 404, 51, 587, 717, 919, 202, 79, 674, 861, 457, 91, 443, 114, 474, 8, 566, 169, 423, 355, 808, 865, 150, 643, 743, 439, 552, 829, 11, 419, 329, 143, 478, 27, 467, 66, 13, 263, 769, 332, 513, 218, 607, 13, 592, 76, 663, 699, 785, 314, 859, 279, 827, 93, 346, 74, 509, 454, 285, 26, 148, 579, 804, 746, 356, 393, 300, 211, 104, 527, 197, 222, 727, 782, 477, 270, 105, 287, 230, 262, 43, 893, 641, 199, 57, 569, 819, 114, 41, 115, 232, 116, 740, 406, 766, 110, 572, 384, 818, 352, 772, 458, 181, 94, 712, 706, 902, 104, 205, 499, 878, 293, 784, 542, 239, 551, 235, 226, 243, 569, 434, 380, 797, 445, 167, 631, 251, 175, 582, 128, 91, 129, 571, 639, 531, 902, 188, 6, 187, 819, 753, 683, 710, 789, 618, 767, 212, 318, 325, 340, 578, 63, 299, 813, 55, 325, 58, 349, 543, 226, 356, 76, 79, 514, 729, 527, 739, 919, 42, 735, 429, 890, 444, 317, 713, 468, 712, 165, 363, 151, 363, 860, 306, 76, 288, 910, 540, 899, 414, 865, 599, 612, 888, 151, 911, 9, 877, 294, 386, 854, 95, 222, 688, 416, 490, 748, 408, 488, 602, 846, 501, 558, 282, 477, 45, 675, 724, 36, 823, 654, 430, 809, 558, 17, 514, 500, 553, 266, 243, 291, 173, 906, 341, 350, 14, 491, 871, 6, 188, 524, 138, 92, 749, 790, 493, 374, 33, 267, 440, 217, 416, 33, 60, 658, 794, 710, 362, 678, 21, 5, 486, 890, 717, 118, 848, 112, 442, 796, 487, 467, 345, 837, 145, 373, 862, 5, 472, 615, 367, 597, 784, 132, 481, 441, 105, 488, 61, 12, 370, 81, 786, 459, 554, 415, 156, 797, 488, 397, 903, 469, 12, 604, 841, 859, 860, 200, 378, 354, 443, 578, 327, 183, 107, 531, 548, 485, 405, 247, 301, 715, 564, 788, 448, 562, 287, 914, 823, 576, 133, 348, 598, 526, 121, 354, 294, 1, 183, 93, 644, 534, 38, 598, 600, 382, 754, 360, 498, 476, 745, 166, 664, 20, 394, 785, 486, 267, 404, 233, 423, 456, 750, 183, 273, 707, 640, 590, 138, 831, 861, 718, 81, 30, 55, 51, 483, 375, 707, 226, 333, 679, 13, 269, 496, 432, 32, 109, 60, 158, 562, 200, 709, 357, 764, 573, 605, 617, 168, 102, 472, 755, 731, 243, 656, 550, 102, 828, 236, 678, 800, 668, 15, 734, 873, 509, 887, 817, 398, 695, 186, 326, 712, 182, 585, 814, 266, 384, 861, 389, 118, 324, 635, 572, 650, 674, 328, 743, 739, 559, 475, 807, 588, 546, 532, 83, 748, 410, 452, 450, 734, 335, 761, 122, 326, 675, 543, 172, 77, 199, 285, 398, 595, 529, 440, 202, 501, 25, 390, 125, 849, 614, 774, 472, 680, 738, 217, 44, 540, 865, 529, 806, 63, 377, 468, 523, 367, 733, 307, 819, 278, 97, 47, 807, 184, 327, 327, 280, 886, 780, 118, 185, 616, 273, 841, 401, 741, 587, 736, 236, 436, 208, 530, 42, 575, 616, 629, 15, 534, 738, 376, 792, 885, 401, 791, 407, 355, 707, 475, 382, 249, 320, 385, 450, 227, 517, 1, 719, 223, 720, 784, 792, 494, 703, 286, 759, 783, 90, 50, 764, 555, 507, 537, 693, 526, 666, 126, 237, 383, 751, 683, 394, 41, 414, 588, 639, 748, 493, 796, 833, 64, 345, 729, 851, 442, 311, 57, 458, 40, 409, 246, 154, 709, 565, 770, 862, 311, 654, 160, 144, 441, 436, 806, 749, 635, 26, 515, 622, 660, 139, 170, 493, 761, 504, 506, 112, 768, 358, 541, 316, 263, 245, 781, 757, 794, 486, 507, 620, 722, 467, 595, 339, 744, 895, 527, 589, 564, 765, 791, 433, 361, 43, 258, 92, 34, 331, 702, 114, 420, 292, 145, 801, 667, 643, 528, 823, 286, 111, 850, 802, 171, 730, 766, 230, 462, 378, 121, 731, 567, 22, 809, 395, 804, 300, 647, 875, 866, 767, 780, 915, 387, 634, 614, 505, 628, 533, 833, 574, 682, 546, 334, 747, 391, 845, 264, 897, 853, 474, 586, 574, 913, 537, 504, 672, 307, 242, 330, 807, 774, 213, 39, 108, 308, 876, 15, 739, 293, 193, 825, 151, 752, 176, 829, 189, 368, 746, 131, 805, 560, 771, 55, 619, 620, 216, 730, 400, 657, 547, 368, 476, 798, 231, 899, 793, 140, 881, 302, 11, 191, 215, 455, 157, 231, 262, 510, 521, 405, 565, 362, 775, 776, 290, 776, 710, 84, 31, 388, 376, 476, 834, 179, 866, 752, 847, 3, 801, 490, 805, 569, 362, 326, 896, 549, 181, 5, 556, 661, 835, 195, 657, 691, 366, 825, 513, 732, 660, 54, 259, 426, 4, 516, 384, 88, 709, 576, 396, 144, 75, 529, 532, 845, 679, 124, 10, 267, 589, 265, 253, 778, 84, 430, 917, 671, 799, 636, 521, 375}

    Returns: {0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0 }

  72. 916

    {418, 35, 739, 709, 743, 504, 531, 250, 437, 761, 915, 730, 446, 561, 490, 457, 836, 721, 269, 453, 100, 91, 903, 289, 821, 535, 578, 90, 206, 789, 764, 146, 754, 913, 408, 101, 896, 157, 422, 911, 442, 703, 414, 862, 831, 862, 316, 807, 349, 63, 665, 589, 509, 849, 845, 700, 739, 865, 397, 263, 169, 63, 342, 740, 385, 268, 886, 508, 494, 369, 845, 292, 119, 785, 337, 360, 150, 498, 575, 910, 516, 772, 158, 100, 177, 662, 745, 13, 639, 262, 736, 587, 254, 835, 194, 742, 653, 472, 19, 640, 479, 225, 651, 759, 356, 424, 149, 835, 249, 18, 797, 528, 201, 365, 292, 62, 447, 724, 299, 854, 373, 182, 163, 410, 96, 151, 259, 124, 527, 629, 170, 687, 123, 412, 57, 777, 791, 398, 659, 872, 73, 241, 895, 577, 310, 487, 203, 388, 697, 132, 367, 786, 59, 602, 300, 792, 505, 787, 800, 91, 236, 594, 43, 326, 678, 855, 598, 22, 460, 273, 401, 492, 470, 449, 210, 168, 416, 95, 620, 731, 783, 518, 472, 263, 799, 337, 631, 547, 122, 485, 207, 542, 603, 788, 513, 108, 96, 223, 406, 230, 148, 409, 225, 16, 539, 624, 165, 775, 762, 33, 81, 874, 427, 466, 818, 485, 317, 540, 890, 322, 609, 608, 168, 148, 407, 875, 292, 872, 674, 794, 870, 601, 644, 142, 349, 383, 871, 246, 801, 527, 78, 256, 17, 57, 350, 415, 710, 524, 419, 268, 813, 526, 503, 114, 848, 848, 912, 230, 215, 461, 235, 551, 438, 81, 186, 824, 362, 812, 66, 604, 550, 877, 383, 666, 907, 121, 525, 580, 524, 763, 220, 353, 110, 364, 18, 281, 411, 654, 87, 768, 891, 19, 426, 758, 535, 838, 328, 160, 728, 558, 700, 426, 447, 802, 483, 128, 92, 287, 900, 28, 198, 836, 29, 695, 172, 331, 866, 215, 1, 368, 710, 61, 628, 408, 111, 440, 853, 691, 276, 198, 347, 339, 383, 72, 842, 680, 457, 697, 377, 694, 708, 722, 139, 753, 74, 71, 696, 182, 121, 475, 442, 37, 374, 364, 769, 403, 351, 712, 797, 229, 841, 297, 84, 776, 410, 163, 340, 584, 247, 622, 275, 133, 8, 750, 416, 567, 601, 210, 281, 564, 737, 252, 80, 353, 842, 141, 226, 612, 675, 115, 666, 451, 430, 531, 650, 855, 753, 321, 7, 404, 559, 864, 829, 17, 834, 640, 318, 312, 14, 99, 671, 415, 200, 322, 52, 213, 596, 909, 197, 334, 547, 209, 906, 677, 401, 240, 110, 881, 435, 473, 243, 351, 203, 806, 262, 74, 761, 316, 211, 149, 590, 675, 600, 626, 549, 446, 38, 815, 193, 901, 273, 884, 813, 153, 860, 565, 303, 757, 92, 546, 788, 752, 583, 454, 514, 312, 452, 629, 537, 815, 873, 868, 806, 884, 786, 238, 377, 309, 418, 591, 199, 883, 731, 765, 385, 664, 290, 81, 750, 711, 579, 379, 161, 169, 217, 880, 264, 193, 493, 761, 62, 157, 561, 634, 266, 707, 397, 419, 50, 387, 125, 322, 148, 631, 825, 807, 670, 183, 630, 736, 890, 101, 914, 864, 327, 39, 224, 657, 97, 51, 351, 56, 271, 850, 558, 31, 687, 302, 43, 777, 773, 275, 395, 581, 11, 658, 145, 464, 123, 186, 479, 528, 18, 585, 698, 855, 140, 64, 129, 343, 624, 692, 233, 325, 294, 607, 574, 591, 458, 315, 188, 640, 214, 599, 239, 803, 454, 339, 700, 812, 644, 386, 332, 638, 823, 885, 176, 60, 614, 821, 903, 885, 516, 381, 903, 87, 908, 200, 140, 231, 281, 53, 35, 497, 753, 758, 613, 283, 595, 663, 648, 420, 879, 1, 832, 519, 230, 396, 662, 875, 464, 708, 444, 304, 259, 569, 68, 847, 307, 719, 883, 205, 809, 655, 3, 342, 464, 683, 499, 277, 873, 79, 95, 469, 553, 819, 255, 776, 372, 576, 723, 25, 253, 245, 644, 165, 2, 783, 428, 323, 36, 375, 820, 515, 4, 463, 876, 512, 623, 378, 820, 544, 829, 93, 655, 304, 276, 465, 664, 33, 2, 416, 67, 513, 313, 247, 465, 455, 646, 455, 547, 532, 745, 218, 179, 574, 470, 672, 45, 835, 323, 310, 807, 814, 831, 119, 656, 820, 795, 257, 34, 315, 859, 795, 577, 232, 443, 112, 187, 538, 542, 368, 571, 378, 463, 259, 792, 894, 514, 770, 839, 399, 127, 870, 390, 112, 361, 446, 71, 229, 585, 718, 648, 569, 770, 135, 621, 371, 202, 296, 331, 378, 810, 510, 715, 429, 763, 86, 778, 438, 289, 561, 400, 0, 24, 274, 889, 659, 397, 119, 362, 76, 305, 168, 254, 823, 146, 183, 736, 174, 584, 5, 396, 842, 220, 594, 594, 573, 539, 479, 237, 791, 728, 804, 571, 448, 554, 598, 410, 224, 179, 823, 427, 686, 780, 425, 152, 717, 527, 673, 64, 684, 641, 687, 38, 889, 832, 747, 507, 836, 120, 534, 197, 703, 691, 897, 620, 568, 762, 493, 880, 466, 103, 384, 493, 799, 780, 154, 670, 165, 809, 348, 216, 103, 319, 404, 109, 790, 679, 330, 156, 72, 287, 336, 207, 713, 274, 879, 647, 3, 130, 490, 265, 141, 699, 784, 442, 40, 732, 809, 389, 803, 602, 270, 490, 671, 682, 756, 662, 535, 887, 735, 349, 156, 321, 233, 332, 808, 269, 212, 204, 588, 871, 718, 28, 856, 862, 393, 639, 909, 52, 686, 449, 819, 525, 782, 14, 27, 767, 863, 486, 111, 607, 371, 214, 778, 423, 439, 366, 132, 609, 834, 115, 194, 499, 759, 866, 747, 217, 632, 125, 207, 73, 372, 723, 666, 438, 450, 202, 760, 307, 577, 874, 308, 269, 573, 6, 508, 901, 744, 898, 572, 592, 83, 197, 343, 304, 246, 844, 785, 891, 41, 233, 534, 370, 344, 88, 280, 787, 312, 121, 762, 455, 822, 900, 805, 256, 606, 689, 552, 496, 252, 21, 553, 286, 111, 436, 152, 699, 180, 392, 154, 133, 284, 138, 909, 597, 366, 425, 234, 680, 720, 522, 153, 120, 627, 239, 646, 507, 398, 65, 162, 185, 718, 915, 709, 272, 743, 291, 425, 580, 536, 469, 460, 441, 888, 11, 295, 48, 572, 362, 586, 53, 581, 501, 588, 258, 317, 564, 734, 162, 335, 735, 608, 334, 299, 202, 74, 688, 616, 731, 822, 654, 743, 161, 673, 127, 679, 480, 80, 250, 136, 433, 62, 338, 637, 883, 492, 552, 538, 335, 257, 77, 82, 631, 335, 886, 899, 532, 531, 711, 152, 137, 369, 910, 294, 772, 277, 348, 113, 516, 253, 180, 109, 563, 28, 886, 347, 236, 901, 530, 83, 463, 358, 318, 570, 314, 352, 265, 683, 171, 701, 295, 193, 634, 568, 156, 222, 792, 707, 187, 779, 590, 167, 221, 650, 755, 9, 138, 604, 282, 827, 586, 689, 311, 766, 127, 651, 390, 297, 180, 904, 781, 154, 328, 846, 733, 695, 796, 610, 734, 330, 91, 428, 261, 850, 57, 326, 344, 604, 600, 911, 213, 552, 56, 96, 697, 123, 444, 117, 389, 171, 487, 329, 115, 254, 576, 461, 402, 529, 512, 871, 760, 458, 421, 418, 722, 897, 789, 568, 656, 646, 186, 770, 518, 639, 356, 627, 801, 597, 867, 570, 510, 647, 447, 46, 255, 234, 58, 709, 253, 681, 517, 47, 746, 779, 817, 575, 61, 759, 481, 528, 466, 707, 78, 365, 17, 347, 0, 670, 314, 748, 319, 101, 433, 290, 323, 800, 25, 309, 441, 134, 600, 754, 317, 679, 339, 782, 393, 449, 772, 868, 153, 147, 44, 522, 303, 314, 572, 501, 701, 453, 311, 704, 488, 375, 858, 588, 135, 205, 519, 409, 440, 805, 149, 626, 879, 902, 452, 179, 737, 155, 122, 260, 778, 182, 131, 430, 481, 690, 448, 247, 131, 785, 873, 49, 345, 454, 641, 912, 47, 73, 60, 839, 171, 219, 360, 480, 387, 236, 120, 632, 404, 443, 176, 711, 53, 892, 850, 681, 656, 4, 97, 642, 882, 162, 689, 599, 605, 409, 863, 308, 25, 140, 783, 645, 857, 358, 369, 167, 138, 853, 213, 201, 98, 55, 448, 509, 881, 585, 63, 256, 12, 892, 67, 564, 698, 537, 379, 677, 9, 144, 389, 319, 118, 224, 308, 388, 685, 706, 860, 840, 316, 839}

    {306, 861, 893, 205, 712, 746, 470, 128, 293, 29, 413, 837, 310, 767, 424, 825, 869, 541, 294, 15, 699, 142, 124, 685, 99, 510, 50, 617, 248, 437, 485, 730, 166, 75, 279, 60, 99, 657, 363, 136, 270, 506, 246, 69, 529, 733, 52, 859, 636, 445, 536, 14, 22, 3, 702, 432, 520, 795, 209, 431, 377, 31, 226, 196, 861, 110, 453, 30, 667, 151, 544, 876, 64, 758, 838, 587, 847, 474, 266, 649, 725, 144, 511, 208, 748, 67, 159, 354, 878, 20, 686, 672, 132, 350, 715, 445, 170, 185, 288, 51, 545, 373, 192, 237, 673, 771, 59, 296, 297, 541, 667, 887, 104, 251, 844, 480, 532, 107, 237, 634, 833, 104, 732, 266, 609, 555, 169, 85, 291, 118, 654, 214, 797, 661, 56, 725, 221, 192, 893, 271, 338, 39, 472, 857, 618, 482, 579, 497, 361, 627, 143, 518, 681, 599, 668, 105, 533, 474, 680, 745, 529, 539, 301, 386, 560, 912, 845, 852, 23, 229, 103, 293, 355, 142, 865, 751, 658, 592, 242, 114, 430, 357, 894, 605, 143, 841, 137, 724, 548, 701, 469, 858, 328, 441, 810, 716, 354, 419, 478, 49, 379, 282, 636, 290, 705, 511, 856, 380, 32, 391, 19, 692, 76, 822, 20, 228, 486, 26, 27, 30, 714, 32, 513, 560, 255, 902, 492, 630, 729, 175, 414, 768, 563, 159, 381, 345, 788, 245, 380, 576, 192, 164, 370, 327, 296, 8, 827, 405, 122, 173, 784, 911, 593, 676, 768, 270, 437, 574, 218, 150, 677, 506, 431, 899, 116, 125, 465, 559, 869, 498, 533, 370, 219, 204, 618, 386, 877, 70, 139, 548, 690, 491, 706, 46, 782, 777, 433, 653, 540, 417, 893, 899, 336, 674, 595, 530, 41, 749, 888, 468, 578, 423, 112, 852, 373, 543, 830, 774, 267, 715, 435, 66, 738, 881, 190, 181, 875, 8, 211, 364, 241, 403, 355, 400, 421, 382, 92, 412, 423, 392, 515, 309, 488, 284, 303, 160, 720, 509, 694, 828, 692, 769, 832, 160, 221, 468, 633, 201, 755, 244, 720, 70, 249, 21, 851, 175, 874, 467, 888, 137, 695, 374, 502, 0, 22, 291, 688, 878, 321, 33, 108, 468, 591, 195, 674, 884, 741, 267, 619, 610, 802, 436, 458, 746, 550, 515, 791, 298, 172, 671, 98, 780, 796, 747, 462, 475, 717, 549, 32, 512, 521, 283, 51, 877, 798, 801, 500, 596, 15, 471, 344, 652, 830, 508, 505, 787, 482, 150, 502, 495, 603, 320, 872, 645, 282, 786, 682, 649, 726, 42, 227, 606, 642, 478, 517, 915, 738, 655, 346, 68, 402, 190, 47, 702, 805, 618, 195, 852, 682, 2, 434, 589, 477, 11, 15, 826, 332, 42, 688, 451, 578, 191, 834, 629, 483, 487, 422, 596, 363, 575, 826, 765, 388, 264, 357, 774, 817, 228, 311, 415, 359, 37, 676, 851, 327, 272, 45, 288, 38, 345, 727, 560, 549, 828, 151, 545, 567, 706, 716, 910, 16, 6, 440, 75, 456, 77, 519, 548, 432, 261, 685, 563, 678, 420, 741, 620, 642, 840, 80, 36, 5, 392, 619, 36, 164, 710, 367, 178, 376, 380, 708, 35, 906, 771, 693, 445, 252, 69, 55, 914, 248, 716, 23, 196, 691, 20, 776, 231, 76, 721, 880, 333, 554, 790, 238, 789, 504, 562, 106, 395, 358, 660, 216, 611, 58, 672, 212, 652, 714, 239, 355, 775, 740, 367, 5, 376, 130, 724, 538, 521, 713, 755, 280, 181, 211, 10, 854, 726, 779, 643, 85, 615, 390, 833, 570, 26, 413, 199, 507, 526, 258, 892, 748, 478, 800, 517, 603, 793, 102, 407, 343, 434, 557, 346, 524, 158, 394, 854, 278, 904, 526, 134, 286, 352, 817, 476, 104, 461, 301, 143, 580, 175, 460, 550, 145, 908, 29, 452, 341, 668, 565, 278, 696, 898, 760, 876, 113, 189, 95, 163, 643, 885, 581, 870, 637, 648, 798, 799, 393, 551, 793, 318, 398, 426, 89, 857, 244, 612, 582, 135, 503, 69, 775, 306, 505, 522, 459, 500, 557, 16, 635, 356, 278, 542, 562, 44, 450, 543, 170, 128, 613, 744, 195, 684, 300, 394, 65, 771, 391, 907, 506, 89, 414, 285, 31, 562, 21, 593, 267, 611, 843, 615, 242, 210, 271, 704, 86, 566, 117, 126, 751, 94, 411, 833, 739, 694, 144, 647, 225, 722, 565, 824, 66, 242, 258, 744, 456, 907, 136, 420, 913, 257, 285, 894, 206, 636, 161, 114, 302, 889, 808, 483, 858, 353, 616, 320, 105, 106, 559, 605, 462, 382, 274, 145, 432, 408, 350, 891, 299, 313, 191, 728, 750, 93, 757, 346, 837, 814, 283, 298, 189, 315, 913, 260, 623, 98, 705, 424, 495, 804, 511, 413, 494, 545, 166, 172, 286, 733, 815, 602, 277, 1, 667, 864, 82, 632, 265, 749, 732, 818, 313, 215, 798, 690, 305, 865, 405, 338, 595, 734, 784, 766, 754, 462, 222, 637, 245, 406, 7, 108, 324, 238, 12, 471, 275, 40, 546, 402, 58, 840, 395, 661, 534, 477, 592, 348, 725, 396, 374, 628, 540, 495, 496, 459, 808, 897, 279, 272, 476, 204, 251, 360, 443, 459, 82, 184, 863, 523, 811, 183, 867, 97, 523, 417, 625, 227, 173, 428, 79, 491, 333, 887, 514, 87, 669, 147, 260, 83, 579, 878, 849, 645, 24, 325, 616, 23, 626, 756, 584, 847, 556, 793, 665, 475, 764, 116, 860, 77, 382, 417, 635, 683, 625, 676, 436, 521, 141, 617, 665, 42, 354, 641, 243, 284, 826, 624, 484, 65, 555, 821, 399, 638, 131, 633, 384, 849, 263, 191, 702, 206, 43, 906, 843, 375, 187, 625, 590, 405, 486, 94, 331, 199, 633, 638, 84, 856, 905, 859, 293, 818, 113, 651, 503, 147, 525, 88, 227, 556, 301, 261, 678, 608, 250, 774, 467, 621, 385, 843, 185, 359, 698, 582, 566, 851, 541, 439, 196, 129, 208, 765, 726, 657, 71, 334, 13, 767, 54, 400, 643, 827, 717, 741, 352, 412, 401, 473, 615, 653, 491, 593, 489, 730, 476, 611, 226, 403, 557, 900, 811, 384, 37, 366, 181, 814, 50, 427, 298, 219, 59, 830, 781, 554, 34, 220, 6, 235, 329, 530, 663, 869, 837, 471, 333, 7, 72, 158, 598, 908, 359, 194, 371, 882, 240, 467, 44, 658, 218, 742, 622, 714, 543, 133, 166, 45, 489, 713, 70, 819, 340, 24, 896, 325, 890, 100, 273, 723, 816, 288, 155, 188, 558, 86, 434, 555, 738, 117, 241, 300, 612, 659, 914, 623, 773, 329, 30, 79, 867, 276, 846, 635, 337, 898, 520, 429, 752, 279, 848, 905, 106, 617, 866, 228, 756, 268, 790, 806, 26, 661, 763, 27, 727, 341, 178, 341, 342, 289, 326, 232, 232, 824, 12, 4, 444, 895, 751, 803, 684, 78, 109, 614, 553, 484, 752, 501, 613, 831, 544, 649, 523, 10, 357, 188, 159, 324, 251, 573, 861, 305, 243, 399, 422, 231, 498, 200, 177, 13, 737, 494, 116, 54, 451, 902, 387, 619, 88, 473, 811, 139, 157, 846, 174, 126, 773, 630, 363, 810, 248, 411, 844, 497, 155, 712, 586, 868, 240, 212, 729, 757, 829, 203, 816, 85, 504, 895, 46, 566, 663, 89, 54, 794, 740, 583, 729, 439, 102, 167, 828, 361, 794, 429, 34, 735, 496, 49, 41, 118, 551, 336, 189, 597, 825, 164, 372, 435, 571, 622, 703, 749, 10, 107, 126, 660, 537, 502, 838, 249, 107, 721, 324, 536, 39, 769, 174, 216, 669, 905, 533, 601, 853, 178, 764, 816, 93, 9, 295, 781, 306, 84, 381, 61, 320, 184, 652, 669, 48, 302, 664, 484, 421, 668, 456, 94, 223, 556, 812, 68, 330, 40, 606, 582, 190, 621, 489, 262, 499, 394, 693, 365, 583, 244, 90, 628, 198, 264, 904, 488, 607, 391, 130, 804, 477, 896, 222, 129, 75, 693, 134, 481, 587, 48, 368, 234, 766, 727, 287, 146, 569, 719, 431, 813, 457, 450, 610, 102, 719, 235, 520, 209, 217, 614, 704, 340, 474, 208, 705, 307, 675, 802, 841, 176, 742, 177, 184, 660, 376, 407, 882, 90, 124, 55, 223, 105, 546, 696, 482, 796, 500, 406, 650, 173, 589, 285, 280, 567}

    Returns: {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0 }

  73. 944

    {792, 530, 289, 470, 653, 131, 745, 817, 118, 112, 607, 920, 382, 813, 799, 818, 896, 646, 887, 572, 345, 527, 433, 113, 209, 596, 463, 4, 930, 222, 780, 933, 735, 332, 304, 910, 678, 82, 849, 73, 328, 742, 327, 607, 23, 607, 10, 132, 838, 871, 262, 705, 766, 418, 666, 510, 825, 925, 847, 822, 273, 269, 169, 654, 162, 890, 740, 601, 294, 740, 646, 889, 150, 5, 6, 440, 238, 593, 915, 233, 562, 609, 246, 684, 776, 372, 699, 673, 102, 307, 334, 146, 574, 9, 61, 673, 0, 8, 764, 561, 135, 922, 898, 637, 164, 126, 138, 668, 376, 798, 217, 907, 273, 514, 409, 535, 857, 777, 552, 694, 652, 681, 796, 543, 534, 353, 485, 573, 288, 535, 245, 615, 790, 839, 799, 261, 846, 636, 615, 322, 42, 423, 318, 552, 942, 793, 901, 324, 2, 668, 671, 417, 106, 113, 590, 282, 621, 937, 531, 905, 872, 890, 45, 221, 29, 634, 818, 239, 663, 579, 462, 35, 242, 80, 674, 247, 238, 528, 747, 194, 445, 637, 873, 883, 433, 78, 482, 665, 521, 698, 727, 632, 589, 210, 791, 815, 60, 694, 229, 786, 359, 717, 608, 682, 13, 419, 177, 244, 219, 408, 914, 882, 533, 737, 208, 85, 584, 649, 333, 436, 557, 644, 329, 559, 712, 394, 0, 696, 271, 595, 238, 836, 475, 334, 353, 53, 716, 109, 352, 335, 710, 252, 820, 365, 275, 931, 64, 174, 396, 555, 569, 461, 166, 812, 404, 766, 797, 312, 274, 577, 566, 740, 44, 525, 878, 870, 500, 324, 501, 858, 717, 627, 0, 722, 143, 437, 598, 708, 692, 20, 37, 834, 131, 241, 130, 218, 462, 118, 650, 672, 904, 153, 357, 796, 864, 337, 830, 538, 553, 211, 230, 537, 265, 514, 416, 618, 934, 593, 87, 676, 176, 329, 321, 262, 665, 797, 731, 173, 240, 77, 569, 706, 489, 49, 594, 870, 185, 855, 326, 692, 874, 83, 650, 83, 602, 841, 5, 18, 306, 193, 508, 344, 55, 297, 649, 695, 533, 507, 758, 486, 2, 77, 364, 805, 413, 179, 528, 650, 191, 12, 914, 13, 253, 380, 347, 25, 236, 420, 107, 71, 291, 476, 693, 338, 52, 920, 435, 548, 912, 753, 476, 557, 529, 624, 544, 555, 145, 835, 488, 202, 401, 624, 150, 899, 156, 591, 329, 785, 269, 40, 620, 218, 127, 701, 265, 192, 465, 218, 627, 716, 62, 537, 728, 853, 81, 496, 442, 37, 149, 885, 640, 203, 901, 362, 769, 671, 906, 366, 742, 735, 711, 838, 382, 355, 22, 402, 184, 814, 931, 134, 9, 789, 464, 480, 492, 567, 654, 686, 558, 38, 736, 129, 744, 300, 623, 787, 550, 888, 87, 687, 157, 730, 408, 28, 720, 368, 179, 794, 185, 97, 345, 314, 729, 469, 439, 933, 470, 233, 531, 204, 684, 601, 810, 145, 196, 388, 298, 538, 1, 496, 792, 595, 92, 38, 751, 616, 136, 472, 364, 111, 748, 338, 594, 362, 877, 636, 768, 10, 678, 550, 318, 712, 428, 137, 805, 658, 244, 675, 266, 905, 743, 380, 50, 132, 472, 288, 900, 743, 563, 605, 531, 494, 919, 484, 782, 894, 227, 91, 69, 325, 363, 100, 518, 667, 448, 624, 54, 491, 786, 401, 170, 605, 701, 197, 777, 563, 440, 565, 736, 928, 477, 505, 599, 236, 603, 831, 500, 849, 636, 781, 339, 308, 468, 392, 511, 731, 889, 449, 385, 287, 128, 609, 820, 784, 773, 152, 159, 48, 560, 935, 173, 801, 187, 603, 922, 466, 8, 459, 386, 811, 166, 17, 250, 669, 476, 942, 355, 489, 659, 704, 674, 641, 589, 173, 517, 226, 497, 502, 748, 166, 782, 721, 739, 793, 558, 417, 538, 67, 726, 451, 478, 526, 899, 58, 33, 35, 17, 398, 745, 811, 410, 821, 938, 415, 511, 98, 540, 741, 527, 491, 124, 622, 224, 356, 389, 227, 163, 769, 882, 820, 152, 251, 509, 839, 757, 606, 265, 430, 784, 618, 744, 556, 601, 567, 134, 315, 564, 400, 441, 886, 575, 196, 453, 149, 215, 503, 456, 248, 670, 680, 443, 178, 698, 713, 248, 91, 625, 749, 511, 350, 319, 27, 693, 222, 107, 430, 458, 244, 556, 635, 608, 413, 157, 912, 438, 19, 864, 737, 549, 51, 374, 321, 506, 46, 562, 828, 743, 926, 891, 886, 181, 440, 68, 457, 441, 619, 656, 284, 57, 243, 349, 114, 730, 734, 855, 314, 842, 819, 580, 131, 638, 655, 358, 119, 788, 118, 585, 576, 114, 617, 203, 447, 471, 383, 11, 563, 107, 809, 562, 200, 69, 887, 120, 298, 623, 934, 419, 726, 767, 92, 6, 7, 887, 797, 71, 125, 492, 283, 294, 481, 893, 683, 629, 210, 399, 98, 454, 930, 788, 446, 569, 667, 662, 652, 937, 806, 933, 872, 402, 250, 708, 240, 641, 377, 497, 782, 462, 373, 736, 448, 544, 804, 371, 684, 10, 818, 340, 519, 710, 837, 790, 178, 396, 458, 626, 243, 737, 437, 500, 124, 406, 56, 86, 313, 336, 136, 298, 678, 702, 860, 810, 572, 507, 633, 564, 39, 48, 695, 174, 755, 541, 381, 162, 521, 555, 803, 235, 372, 42, 14, 3, 85, 208, 775, 490, 70, 326, 60, 239, 515, 50, 202, 22, 612, 848, 68, 44, 844, 85, 871, 109, 425, 439, 808, 885, 488, 348, 179, 589, 68, 529, 22, 921, 880, 30, 151, 437, 272, 858, 628, 611, 579, 242, 526, 749, 86, 390, 895, 390, 850, 752, 410, 455, 74, 429, 101, 505, 318, 936, 269, 869, 97, 455, 52, 153, 830, 308, 419, 596, 26, 667, 459, 890, 760, 499, 560, 825, 744, 573, 127, 912, 539, 379, 573, 90, 309, 908, 83, 35, 908, 407, 853, 404, 255, 370, 763, 125, 276, 58, 817, 596, 55, 286, 489, 490, 304, 75, 658, 150, 758, 700, 733, 496, 467, 458, 124, 755, 719, 420, 293, 754, 574, 839, 757, 322, 479, 444, 354, 794, 846, 939, 168, 407, 584, 530, 430, 116, 876, 279, 65, 402, 834, 391, 156, 278, 370, 683, 254, 501, 903, 187, 157, 284, 270, 854, 679, 90, 29, 358, 448, 379, 843, 710, 444, 547, 28, 450, 597, 780, 477, 189, 822, 800, 943, 907, 638, 421, 816, 590, 417, 23, 722, 94, 211, 769, 547, 103, 373, 868, 217, 308, 396, 832, 26, 286, 622, 297, 759, 760, 833, 593, 677, 478, 791, 423, 943, 377, 229, 243, 762, 509, 517, 808, 319, 356, 212, 833, 570, 822, 885, 361, 48, 272, 306, 15, 798, 815, 869, 392, 477, 279, 289, 863, 70, 666, 111, 55, 907, 366, 346, 662, 717, 734, 427, 227, 144, 434, 233, 455, 463, 366, 401, 812, 687, 316, 461, 922, 902, 383, 870, 486, 449, 851, 535, 700, 750, 33, 305, 497, 352, 751, 861, 59, 663, 46, 895, 875, 344, 460, 746, 925, 798, 354, 852, 533, 846, 778, 351, 162, 132, 415, 908, 881, 835, 615, 65, 508, 246, 763, 283, 719, 727, 225, 851, 506, 438, 802, 80, 748, 571, 92, 316, 540, 735, 333, 336, 604, 482, 600, 642, 311, 202, 874, 642, 78, 240, 586, 6, 39, 558, 632, 910, 147, 102, 60, 502, 619, 141, 434, 810, 832, 657, 469, 221, 207, 36, 831, 557, 171, 270, 96, 88, 709, 817, 328, 454, 188, 509, 648, 598, 216, 314, 692, 849, 752, 891, 342, 424, 930, 371, 24, 876, 205, 499, 199, 105, 44, 313, 874, 442, 597, 857, 716, 783, 923, 765, 306, 642, 251, 389, 315, 626, 490, 718, 341, 719, 195, 445, 361, 751, 892, 385, 670, 63, 182, 63, 781, 465, 267, 99, 144, 939, 383, 884, 631, 805, 237, 504, 609, 159, 228, 543, 116, 400, 479, 33, 673, 111, 375, 672, 838, 332, 337, 664, 246, 811, 523, 513, 536, 84, 464, 7, 765, 234, 823, 858, 252, 7, 494, 762, 443, 108, 522, 663, 230, 682, 570, 814, 910, 699, 257, 307, 479, 526, 342, 277, 213, 580, 348, 837, 796, 578, 715, 544, 300, 384, 661, 893, 106, 321, 225, 572, 590, 906, 755, 801, 658, 660, 300, 296, 488, 37, 339, 602, 74, 182, 546, 211, 432, 177, 554, 98, 771, 327, 388, 187, 412, 391, 721, 789, 247, 759, 390, 2, 245, 102, 299, 761, 774, 371, 47, 468, 307, 229, 681, 664, 606, 894, 53, 888, 647, 120, 134, 753, 937, 616, 112, 404, 942, 393, 368, 484, 714, 171, 454, 934}

    {559, 130, 143, 154, 180, 359, 919, 709, 67, 280, 506, 14, 806, 665, 787, 363, 592, 275, 883, 293, 587, 43, 69, 610, 654, 389, 41, 292, 756, 192, 425, 222, 676, 215, 781, 113, 465, 772, 643, 302, 228, 575, 207, 412, 263, 139, 880, 546, 333, 76, 565, 867, 861, 713, 135, 756, 406, 534, 193, 484, 880, 731, 841, 844, 580, 386, 669, 695, 115, 708, 201, 927, 872, 697, 347, 896, 368, 767, 469, 447, 856, 412, 3, 364, 31, 224, 345, 790, 274, 276, 941, 551, 1, 34, 760, 357, 549, 225, 392, 560, 474, 443, 460, 768, 237, 495, 360, 198, 704, 539, 148, 852, 257, 190, 291, 425, 916, 939, 200, 541, 117, 161, 324, 180, 397, 280, 89, 34, 679, 554, 577, 255, 618, 892, 422, 690, 176, 237, 938, 108, 863, 516, 578, 843, 614, 688, 475, 690, 206, 899, 335, 723, 189, 51, 827, 643, 498, 461, 600, 551, 399, 853, 42, 821, 282, 310, 625, 915, 676, 378, 135, 126, 903, 193, 647, 741, 170, 441, 249, 165, 422, 56, 295, 249, 525, 340, 66, 351, 656, 631, 30, 381, 680, 416, 482, 165, 57, 369, 183, 330, 473, 309, 104, 201, 473, 449, 439, 330, 646, 219, 613, 206, 565, 153, 253, 519, 188, 103, 313, 232, 45, 178, 381, 517, 592, 263, 770, 186, 588, 867, 403, 214, 142, 586, 438, 630, 691, 51, 696, 378, 919, 21, 32, 651, 408, 588, 807, 62, 323, 914, 197, 707, 891, 756, 568, 634, 190, 304, 89, 266, 614, 701, 857, 629, 792, 413, 475, 261, 71, 828, 101, 121, 315, 168, 835, 442, 764, 105, 213, 52, 254, 630, 13, 486, 117, 467, 720, 681, 888, 444, 16, 221, 685, 261, 427, 19, 95, 136, 483, 354, 360, 350, 693, 387, 288, 357, 816, 3, 733, 779, 583, 88, 746, 645, 515, 514, 295, 86, 36, 576, 370, 827, 574, 738, 123, 783, 290, 175, 806, 191, 292, 761, 220, 361, 921, 355, 91, 95, 652, 795, 941, 75, 376, 436, 231, 416, 262, 516, 600, 421, 534, 264, 834, 905, 715, 932, 520, 628, 897, 41, 709, 854, 581, 670, 671, 866, 84, 405, 18, 773, 270, 604, 521, 898, 296, 613, 172, 862, 829, 715, 200, 271, 94, 352, 9, 343, 546, 133, 103, 628, 651, 696, 747, 393, 474, 941, 398, 216, 873, 198, 859, 424, 388, 545, 27, 551, 637, 571, 305, 53, 913, 110, 856, 317, 714, 825, 277, 721, 163, 512, 397, 686, 428, 779, 668, 61, 522, 884, 79, 577, 773, 879, 487, 169, 823, 711, 160, 675, 45, 456, 778, 502, 19, 426, 940, 860, 900, 610, 17, 837, 901, 87, 752, 889, 495, 445, 770, 220, 519, 284, 620, 43, 446, 359, 474, 403, 255, 859, 761, 584, 515, 394, 929, 374, 883, 138, 336, 89, 105, 556, 630, 679, 397, 532, 447, 457, 718, 803, 160, 868, 862, 705, 236, 772, 463, 422, 415, 382, 739, 876, 358, 631, 207, 264, 921, 164, 411, 662, 768, 549, 272, 647, 142, 617, 151, 337, 786, 28, 245, 478, 137, 431, 481, 532, 487, 738, 391, 617, 275, 451, 622, 20, 167, 635, 540, 11, 700, 697, 183, 133, 93, 529, 757, 553, 38, 186, 924, 819, 697, 365, 403, 278, 299, 214, 807, 682, 47, 645, 457, 327, 726, 657, 865, 183, 158, 216, 127, 550, 775, 312, 292, 644, 764, 897, 26, 873, 258, 25, 864, 290, 512, 141, 70, 915, 840, 689, 938, 205, 72, 140, 59, 181, 410, 384, 325, 198, 310, 226, 656, 705, 771, 771, 12, 545, 585, 566, 881, 56, 583, 171, 896, 54, 940, 256, 548, 828, 775, 176, 728, 253, 436, 776, 15, 154, 850, 46, 611, 161, 344, 141, 151, 11, 375, 542, 746, 623, 108, 32, 96, 595, 902, 395, 311, 803, 168, 819, 297, 640, 730, 122, 169, 758, 638, 928, 140, 302, 575, 40, 640, 398, 900, 452, 248, 54, 294, 268, 317, 73, 703, 450, 375, 591, 49, 249, 260, 29, 452, 592, 520, 394, 909, 734, 379, 742, 5, 190, 260, 718, 431, 918, 143, 267, 281, 279, 564, 215, 93, 829, 918, 90, 274, 285, 386, 146, 830, 418, 861, 305, 586, 301, 181, 724, 794, 749, 280, 725, 57, 821, 643, 859, 239, 291, 139, 602, 606, 459, 816, 824, 524, 936, 832, 712, 594, 165, 733, 906, 285, 363, 732, 456, 117, 115, 774, 485, 235, 23, 824, 122, 301, 675, 372, 123, 831, 106, 40, 481, 323, 63, 826, 547, 346, 485, 303, 334, 180, 446, 95, 918, 785, 604, 629, 177, 505, 251, 634, 420, 877, 31, 326, 525, 335, 79, 399, 503, 568, 603, 809, 234, 518, 727, 578, 911, 582, 49, 414, 122, 762, 812, 466, 201, 923, 97, 257, 530, 707, 472, 230, 860, 116, 702, 299, 612, 892, 611, 493, 802, 156, 140, 815, 536, 795, 691, 296, 804, 633, 687, 185, 129, 765, 82, 685, 657, 112, 8, 827, 351, 660, 277, 194, 648, 303, 411, 43, 471, 881, 155, 824, 184, 41, 414, 925, 259, 259, 273, 926, 929, 898, 738, 20, 543, 895, 88, 429, 317, 341, 929, 434, 76, 271, 343, 121, 59, 850, 493, 904, 32, 848, 427, 884, 699, 161, 94, 453, 241, 767, 655, 917, 689, 129, 260, 620, 554, 747, 81, 128, 231, 587, 664, 722, 928, 787, 694, 866, 148, 50, 360, 320, 561, 18, 220, 155, 61, 101, 499, 432, 256, 793, 453, 688, 581, 845, 367, 4, 924, 301, 309, 639, 800, 263, 295, 588, 483, 714, 913, 395, 104, 267, 866, 119, 940, 188, 774, 285, 347, 865, 800, 879, 788, 778, 142, 432, 110, 823, 570, 539, 242, 844, 287, 766, 209, 341, 27, 501, 932, 725, 258, 158, 807, 651, 613, 935, 704, 836, 144, 348, 916, 911, 836, 567, 669, 487, 528, 303, 826, 99, 841, 328, 377, 503, 259, 597, 184, 74, 115, 581, 826, 421, 195, 203, 789, 276, 809, 920, 553, 349, 713, 568, 498, 677, 512, 840, 15, 689, 666, 423, 286, 776, 911, 711, 353, 902, 686, 625, 513, 814, 210, 875, 770, 785, 82, 541, 316, 96, 542, 137, 854, 685, 384, 224, 147, 373, 833, 893, 480, 199, 76, 672, 405, 626, 25, 886, 492, 100, 163, 393, 522, 231, 119, 471, 633, 435, 585, 104, 680, 197, 331, 802, 110, 378, 429, 848, 380, 138, 66, 342, 24, 750, 433, 813, 862, 452, 878, 566, 223, 123, 289, 635, 847, 24, 65, 290, 460, 72, 349, 691, 350, 428, 863, 213, 75, 418, 325, 931, 639, 720, 621, 365, 754, 784, 610, 148, 904, 223, 732, 73, 1, 855, 319, 81, 250, 374, 58, 510, 93, 763, 661, 212, 367, 591, 753, 612, 723, 281, 293, 302, 155, 21, 330, 616, 186, 702, 310, 256, 362, 877, 369, 537, 254, 338, 21, 206, 759, 79, 754, 645, 659, 795, 813, 480, 145, 729, 152, 470, 212, 311, 128, 204, 627, 843, 783, 729, 67, 99, 698, 431, 903, 232, 34, 268, 332, 582, 258, 232, 266, 868, 154, 552, 513, 545, 182, 159, 100, 4, 172, 287, 241, 508, 579, 750, 322, 518, 109, 31, 223, 385, 659, 387, 605, 175, 741, 608, 120, 703, 660, 356, 917, 268, 869, 235, 409, 167, 632, 343, 407, 599, 548, 483, 842, 927, 897, 856, 936, 598, 504, 466, 208, 278, 571, 510, 62, 426, 283, 614, 894, 688, 331, 36, 879, 339, 320, 852, 917, 739, 724, 725, 745, 130, 435, 842, 189, 504, 706, 16, 926, 14, 39, 909, 799, 340, 12, 924, 732, 677, 264, 158, 77, 916, 160, 644, 495, 411, 64, 204, 703, 851, 192, 801, 282, 451, 576, 865, 599, 523, 47, 467, 252, 450, 234, 845, 542, 406, 424, 214, 66, 121, 867, 840, 791, 772, 582, 923, 149, 167, 724, 369, 226, 281, 195, 913, 878, 133, 524, 619, 779, 146, 219, 80, 473, 346, 587, 217, 64, 114, 228, 516, 320, 468, 943, 16, 536, 690, 72, 498, 847, 927, 125, 707, 561, 935, 409, 126, 507, 706, 387, 653, 164, 464, 395, 648, 174, 649, 683, 520, 723, 641, 172, 532, 909, 829, 414, 780, 491, 524, 655, 194, 367, 139, 209, 147, 583, 882, 875, 199, 247, 312, 196, 331, 78, 527, 494, 674, 191, 777, 84, 30, 932, 728, 653, 804, 175, 400, 639, 871, 621, 661, 493, 323, 523, 205, 845, 170, 426, 808, 376, 559, 405}

    Returns: {0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1 }

  74. 900

    {670, 680, 708, 394, 11, 843, 58, 134, 632, 894, 785, 807, 163, 476, 279, 269, 349, 396, 82, 84, 135, 718, 840, 73, 752, 235, 759, 149, 217, 806, 120, 560, 619, 374, 488, 102, 320, 741, 585, 697, 95, 355, 820, 502, 320, 586, 852, 430, 321, 690, 385, 641, 510, 844, 319, 465, 103, 116, 380, 852, 895, 16, 57, 739, 281, 237, 84, 499, 813, 639, 125, 260, 376, 400, 81, 549, 350, 816, 30, 183, 628, 91, 510, 514, 710, 507, 749, 411, 384, 525, 205, 198, 573, 528, 666, 290, 810, 495, 696, 168, 170, 797, 165, 817, 611, 220, 850, 544, 477, 193, 809, 184, 460, 116, 762, 267, 897, 368, 789, 480, 192, 391, 800, 739, 165, 40, 773, 677, 316, 90, 412, 443, 454, 655, 80, 680, 349, 146, 408, 420, 747, 102, 747, 848, 535, 583, 694, 140, 790, 76, 177, 160, 501, 93, 779, 497, 794, 131, 730, 78, 12, 438, 795, 753, 112, 494, 292, 146, 161, 643, 490, 499, 129, 349, 770, 656, 269, 645, 419, 367, 866, 502, 812, 544, 813, 99, 384, 252, 703, 82, 514, 546, 660, 470, 667, 734, 69, 698, 881, 529, 704, 668, 546, 625, 429, 872, 657, 194, 725, 665, 70, 362, 418, 513, 464, 297, 814, 896, 716, 613, 759, 239, 332, 208, 5, 328, 724, 318, 28, 190, 4, 286, 163, 74, 417, 820, 536, 828, 868, 210, 256, 220, 479, 639, 38, 726, 415, 49, 276, 810, 281, 181, 147, 56, 793, 662, 824, 201, 110, 520, 487, 275, 88, 362, 423, 73, 698, 441, 884, 749, 445, 469, 209, 435, 317, 546, 147, 183, 713, 860, 801, 623, 441, 398, 427, 345, 141, 872, 257, 306, 366, 321, 778, 325, 252, 469, 597, 61, 536, 242, 529, 890, 1, 131, 689, 479, 187, 460, 400, 876, 653, 878, 387, 428, 135, 397, 660, 75, 133, 673, 555, 620, 773, 634, 505, 515, 163, 211, 383, 39, 708, 855, 379, 589, 692, 436, 432, 270, 626, 441, 742, 142, 486, 708, 53, 571, 328, 792, 339, 366, 12, 182, 48, 564, 195, 312, 237, 381, 705, 725, 651, 580, 635, 520, 765, 89, 240, 626, 651, 676, 888, 236, 798, 899, 749, 798, 180, 315, 232, 209, 236, 338, 60, 342, 354, 66, 368, 524, 591, 47, 675, 659, 27, 22, 230, 619, 841, 164, 720, 432, 203, 375, 583, 821, 228, 709, 373, 667, 602, 338, 276, 524, 736, 802, 221, 720, 7, 517, 28, 714, 51, 670, 448, 538, 162, 234, 257, 254, 227, 662, 836, 477, 531, 796, 816, 357, 247, 602, 134, 856, 363, 65, 123, 94, 843, 85, 664, 821, 115, 452, 124, 561, 145, 404, 84, 286, 379, 330, 20, 26, 29, 298, 334, 64, 724, 600, 71, 62, 168, 58, 112, 249, 507, 661, 834, 258, 409, 283, 566, 6, 366, 497, 580, 195, 766, 364, 641, 618, 800, 280, 203, 192, 341, 399, 204, 806, 403, 774, 481, 147, 298, 439, 75, 138, 650, 435, 351, 132, 555, 149, 786, 574, 452, 456, 806, 409, 615, 704, 166, 883, 583, 898, 833, 473, 803, 661, 197, 875, 553, 517, 756, 555, 599, 685, 695, 829, 581, 729, 558, 532, 605, 45, 692, 681, 129, 101, 143, 387, 538, 66, 254, 698, 621, 442, 221, 600, 159, 663, 631, 73, 130, 593, 456, 814, 345, 442, 819, 51, 156, 69, 358, 152, 778, 375, 549, 345, 273, 16, 100, 847, 199, 233, 471, 14, 434, 572, 24, 541, 361, 224, 651, 298, 96, 11, 733, 155, 325, 488, 653, 455, 356, 403, 223, 390, 193, 662, 123, 754, 450, 25, 893, 379, 384, 365, 454, 731, 556, 33, 652, 371, 875, 552, 239, 122, 874, 577, 201, 584, 550, 365, 709, 57, 284, 818, 392, 688, 280, 891, 453, 707, 569, 8, 558, 190, 219, 83, 285, 570, 145, 167, 647, 359, 623, 101, 246, 564, 210, 128, 897, 145, 406, 877, 691, 193, 332, 268, 845, 477, 522, 62, 664, 250, 35, 285, 411, 297, 316, 715, 568, 624, 588, 309, 375, 842, 809, 586, 248, 212, 63, 38, 561, 847, 757, 613, 66, 635, 227, 426, 738, 343, 523, 744, 311, 138, 819, 529, 10, 49, 543, 616, 281, 251, 56, 355, 550, 679, 2, 578, 882, 280, 74, 108, 739, 898, 212, 499, 140, 261, 94, 618, 162, 222, 868, 400, 91, 92, 4, 533, 772, 784, 265, 389, 831, 447, 707, 62, 25, 612, 175, 301, 155, 522, 164, 308, 896, 100, 599, 381, 215, 331, 452, 635, 365, 505, 317, 729, 14, 278, 162, 551, 221, 95, 194, 420, 769, 464, 467, 50, 526, 258, 753, 638, 333, 895, 222, 308, 215, 364, 68, 827, 317, 169, 799, 525, 158, 750, 26, 337, 712, 367, 194, 641, 809, 884, 819, 360, 660, 787, 736, 590, 768, 655, 225, 302, 867, 17, 490, 696, 293, 568, 530, 509, 373, 877, 585, 245, 424, 820, 52, 658, 93, 663, 888, 81, 539, 571, 602, 862, 547, 235, 446, 717, 67, 707, 205, 554, 884, 200, 474, 8, 312, 674, 291, 439, 801, 183, 667, 702, 604, 459, 284, 523, 226, 737, 509, 758, 330, 482, 253, 888, 279, 61, 646, 160, 130, 644, 862, 894, 392, 462, 633, 50, 887, 313, 59, 17, 329, 879, 196, 274, 305, 470, 416, 426, 702, 728, 610, 863, 712, 54, 608, 116, 822, 521, 243, 831, 868, 371, 896, 169, 617, 743, 143, 170, 460, 16, 565, 577, 70, 867, 663, 573, 857, 650, 179, 594, 390, 531, 816, 108, 777, 175, 483, 632, 12, 57, 177, 176, 320, 566, 27, 388, 677, 762, 829, 287, 723, 642, 0, 414, 678, 118, 504, 364, 636, 255, 899, 474, 640, 504, 117, 199, 418, 625, 327, 171, 488, 28, 718, 611, 313, 167, 359, 303, 598, 839, 348, 887, 519, 314, 176, 656, 870, 722, 424, 336, 109, 209, 377, 18, 556, 403, 309, 322, 0, 612, 238, 289, 395, 212, 836, 461, 259, 47, 765, 861, 615, 43, 325, 518, 222, 294, 486, 282, 465, 614, 337, 132, 751, 306, 702, 9, 406, 551, 89, 757, 754, 784, 380, 897, 772, 668, 256, 493, 683, 295, 682, 127, 229, 119, 871, 417, 612, 52, 882, 354, 515, 764, 109, 413, 475, 710, 665, 20, 312, 435, 519, 790, 489, 637, 154, 473, 695, 509, 425, 295, 856, 74, 125, 481, 259, 767, 250, 58, 621, 352, 267, 98, 877, 229, 682, 70, 666, 26, 518, 475, 845, 801, 817, 108, 202, 93, 69, 794, 649, 151, 580, 321, 732, 148, 762, 841, 830, 110, 512, 740, 827, 679, 120, 412, 633, 107, 844, 122, 294, 172, 543, 481, 118, 159, 154, 605, 783, 865, 829, 476, 418, 301, 763, 421, 326, 255, 416, 740, 242, 861, 336, 142, 114, 454, 133, 390, 356, 567, 271, 767, 214, 730, 186, 76, 392, 248, 632, 571, 362, 187, 160, 573, 592, 754, 600, 558, 519, 566, 415, 402, 389, 318, 686, 140, 857, 544, 327, 41, 726, 812, 456, 655, 316, 126, 766, 291, 799, 752, 75, 172, 742, 270, 797, 618, 268, 723, 444, 24, 85, 10, 761, 134, 414, 782, 478, 276, 649, 736, 49, 80, 637, 575, 219, 122, 292, 719, 795, 541, 443, 450, 782, 766, 524, 44, 2, 684, 863, 357, 569, 729, 86, 14, 599, 358, 467, 137, 785, 627, 173, 859, 219, 111, 453, 112, 443, 478, 370, 807, 35, 508, 405, 184, 786, 433, 565, 226, 315, 113, 474, 42, 804, 480, 103, 459, 507, 690, 627, 756, 4, 825, 710, 879, 324, 215, 611, 302, 251, 56, 514, 426, 328, 842, 304, 682, 695, 478, 106, 794, 689, 146, 665, 304, 800, 361, 756, 261, 624, 299, 342, 166, 130, 425, 681, 691, 323, 657, 670, 42, 42, 787, 315, 885, 823, 371, 382, 305, 252, 297, 572, 549, 249, 133, 621, 871, 453, 768, 351, 572, 654, 836, 604, 432, 439, 495, 282, 831, 554, 355, 620, 823, 713, 445, 483, 343, 352, 712, 561, 556, 557, 866, 790, 372, 240, 472}

    {396, 598, 151, 376, 513, 634, 551, 777, 123, 476, 178, 810, 187, 675, 77, 378, 473, 405, 76, 346, 490, 117, 207, 633, 240, 644, 199, 44, 485, 639, 784, 699, 737, 550, 895, 397, 368, 241, 313, 711, 272, 322, 40, 430, 849, 148, 181, 727, 839, 883, 79, 744, 394, 283, 157, 61, 179, 125, 646, 385, 307, 214, 153, 885, 807, 77, 351, 856, 170, 732, 442, 579, 510, 822, 266, 271, 815, 51, 543, 675, 431, 876, 552, 200, 90, 751, 21, 244, 239, 582, 560, 693, 155, 373, 244, 647, 223, 535, 429, 198, 182, 834, 353, 370, 8, 29, 184, 259, 124, 265, 598, 63, 539, 225, 54, 296, 727, 886, 865, 883, 751, 277, 622, 462, 1, 484, 185, 758, 589, 497, 104, 88, 411, 623, 858, 869, 247, 43, 542, 594, 575, 700, 805, 861, 506, 45, 562, 716, 128, 23, 537, 689, 386, 414, 548, 299, 25, 860, 388, 46, 195, 284, 158, 329, 135, 531, 398, 855, 449, 141, 67, 870, 288, 72, 484, 444, 564, 648, 681, 471, 127, 727, 714, 722, 671, 53, 828, 22, 310, 530, 774, 150, 99, 630, 286, 415, 91, 399, 50, 705, 591, 23, 24, 157, 797, 609, 197, 303, 777, 850, 43, 486, 451, 562, 311, 649, 678, 786, 636, 590, 601, 296, 11, 607, 563, 843, 437, 207, 834, 391, 489, 506, 817, 420, 353, 484, 545, 468, 103, 789, 821, 624, 114, 129, 438, 278, 589, 789, 858, 408, 223, 79, 614, 29, 136, 845, 746, 363, 105, 126, 169, 601, 582, 652, 410, 260, 1, 65, 404, 704, 434, 139, 565, 521, 587, 803, 626, 588, 870, 157, 771, 745, 142, 189, 19, 446, 527, 350, 301, 630, 137, 326, 383, 372, 528, 848, 788, 889, 744, 299, 613, 335, 740, 319, 815, 796, 455, 827, 851, 776, 48, 687, 880, 218, 386, 622, 449, 96, 248, 735, 290, 788, 709, 121, 581, 595, 471, 292, 713, 393, 2, 679, 319, 734, 451, 837, 787, 616, 697, 699, 178, 534, 776, 629, 449, 423, 634, 15, 576, 523, 593, 671, 337, 7, 231, 483, 654, 640, 603, 683, 824, 387, 182, 287, 880, 167, 213, 111, 658, 855, 596, 173, 307, 458, 591, 690, 520, 773, 78, 824, 83, 563, 672, 374, 741, 732, 849, 80, 21, 289, 300, 401, 557, 528, 440, 603, 596, 30, 597, 434, 191, 213, 492, 96, 511, 833, 22, 535, 318, 5, 526, 527, 295, 866, 143, 881, 378, 341, 429, 465, 448, 536, 46, 743, 227, 174, 735, 55, 542, 645, 445, 120, 189, 372, 46, 482, 72, 207, 81, 701, 344, 560, 475, 838, 121, 271, 360, 764, 496, 64, 853, 521, 808, 537, 674, 495, 860, 540, 423, 55, 234, 100, 401, 422, 78, 715, 36, 381, 769, 217, 67, 396, 440, 405, 595, 354, 109, 244, 567, 516, 534, 238, 557, 755, 852, 410, 545, 697, 98, 606, 217, 459, 609, 353, 671, 288, 52, 0, 837, 268, 447, 181, 764, 837, 369, 760, 674, 202, 647, 377, 323, 491, 450, 448, 273, 37, 606, 21, 77, 798, 159, 489, 185, 247, 158, 545, 31, 188, 241, 18, 684, 40, 173, 838, 804, 574, 410, 118, 700, 19, 532, 492, 846, 658, 41, 721, 559, 433, 640, 835, 617, 417, 719, 228, 461, 289, 492, 854, 892, 579, 458, 231, 437, 152, 878, 225, 880, 437, 503, 586, 631, 677, 33, 688, 60, 389, 835, 156, 685, 494, 128, 745, 496, 310, 431, 631, 854, 218, 878, 272, 419, 285, 97, 596, 892, 578, 6, 71, 331, 781, 10, 9, 542, 314, 761, 648, 347, 416, 422, 805, 513, 625, 468, 533, 891, 696, 672, 701, 206, 192, 3, 785, 468, 568, 569, 172, 344, 150, 406, 126, 763, 467, 267, 139, 398, 466, 508, 844, 832, 394, 879, 168, 772, 608, 68, 748, 685, 378, 89, 333, 812, 650, 723, 270, 263, 570, 59, 144, 502, 339, 374, 780, 554, 828, 893, 87, 645, 44, 652, 382, 547, 594, 242, 610, 119, 243, 734, 775, 832, 234, 300, 775, 752, 783, 869, 206, 393, 220, 504, 402, 331, 189, 748, 603, 343, 204, 427, 338, 638, 273, 65, 826, 601, 500, 433, 737, 638, 71, 164, 721, 532, 314, 174, 722, 188, 770, 629, 407, 186, 615, 250, 597, 330, 792, 728, 33, 466, 688, 726, 444, 408, 570, 380, 472, 148, 745, 862, 451, 98, 684, 480, 361, 830, 13, 376, 538, 516, 875, 340, 719, 407, 245, 886, 587, 890, 13, 757, 607, 323, 324, 422, 813, 180, 32, 161, 717, 530, 13, 605, 857, 559, 802, 412, 404, 693, 275, 153, 788, 527, 241, 39, 263, 576, 36, 7, 161, 335, 20, 106, 657, 294, 462, 293, 88, 150, 335, 617, 500, 455, 115, 104, 249, 680, 177, 27, 34, 308, 431, 887, 619, 48, 92, 511, 728, 34, 232, 501, 595, 644, 246, 703, 424, 472, 254, 491, 206, 127, 770, 864, 419, 262, 584, 332, 725, 31, 132, 840, 236, 34, 55, 687, 144, 386, 113, 534, 755, 482, 3, 258, 693, 678, 346, 793, 352, 229, 894, 413, 201, 885, 230, 296, 205, 214, 823, 224, 814, 487, 548, 774, 694, 760, 714, 266, 421, 899, 780, 15, 300, 211, 604, 260, 274, 334, 574, 691, 724, 393, 340, 37, 720, 803, 306, 421, 5, 363, 174, 838, 890, 115, 37, 277, 228, 851, 760, 333, 818, 683, 686, 873, 540, 780, 347, 461, 204, 659, 304, 889, 643, 498, 385, 305, 578, 106, 287, 266, 537, 718, 211, 232, 620, 669, 498, 264, 208, 231, 592, 357, 672, 113, 327, 765, 226, 264, 409, 171, 359, 92, 721, 253, 262, 264, 311, 637, 202, 466, 686, 859, 741, 347, 791, 110, 717, 533, 131, 186, 491, 36, 515, 105, 769, 171, 808, 369, 104, 869, 342, 251, 31, 616, 105, 791, 614, 778, 463, 272, 892, 196, 746, 457, 609, 176, 864, 47, 38, 575, 3, 90, 775, 165, 216, 767, 559, 369, 715, 493, 830, 508, 498, 796, 873, 269, 99, 522, 781, 889, 87, 768, 505, 230, 114, 344, 864, 188, 68, 243, 792, 341, 124, 669, 430, 842, 804, 97, 811, 669, 334, 610, 95, 825, 666, 711, 395, 200, 9, 428, 553, 731, 97, 54, 506, 208, 822, 86, 32, 758, 279, 101, 759, 15, 63, 747, 72, 23, 802, 853, 659, 383, 779, 511, 436, 463, 277, 548, 191, 257, 664, 438, 783, 293, 771, 278, 175, 891, 799, 750, 382, 648, 825, 496, 274, 581, 107, 245, 6, 339, 629, 811, 592, 41, 776, 196, 694, 627, 348, 85, 399, 401, 676, 457, 303, 579, 262, 119, 738, 782, 141, 886, 138, 144, 45, 805, 427, 622, 210, 585, 588, 692, 673, 185, 815, 839, 706, 350, 395, 846, 139, 358, 137, 470, 283, 329, 348, 738, 882, 512, 628, 730, 156, 541, 703, 847, 753, 743, 32, 876, 370, 18, 407, 153, 872, 309, 397, 642, 428, 874, 322, 687, 840, 440, 261, 191, 463, 218, 835, 447, 290, 17, 233, 64, 180, 547, 136, 235, 716, 256, 858, 552, 642, 731, 871, 111, 233, 87, 584, 654, 832, 265, 179, 107, 587, 136, 577, 808, 197, 865, 526, 791, 154, 203, 263, 494, 735, 854, 567, 582, 630, 53, 867, 643, 457, 151, 853, 873, 779, 340, 464, 850, 668, 898, 733, 178, 699, 742, 848, 748, 458, 485, 711, 356, 501, 525, 793, 781, 19, 846, 606, 826, 86, 518, 811, 746, 503, 763, 849, 553, 893, 310, 761, 646, 706, 255, 307, 818, 149, 83, 771, 238, 874, 653, 863, 198, 216, 117, 302, 253, 563, 121, 700, 388, 94, 82, 291, 485, 516, 517, 676, 593, 503, 102, 446, 425, 213, 216, 35, 326, 237, 859, 377, 30, 755, 750, 539, 826, 841, 562, 190, 833, 540, 590, 706, 607, 795, 436, 576, 733, 512, 661, 39, 673, 656, 246, 500, 346, 336, 166, 608, 487, 391, 360, 413, 367, 469, 59, 402, 881, 705, 701, 628, 152, 288, 79, 282, 324, 60, 493, 224, 275, 479, 636, 851}

    Returns: {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1 }

  75. 808

    {336, 465, 363, 395, 758, 80, 747, 328, 385, 581, 276, 605, 536, 429, 792, 566, 612, 100, 262, 775, 707, 91, 690, 555, 75, 413, 527, 731, 726, 534, 469, 702, 147, 532, 751, 630, 114, 449, 783, 219, 560, 411, 400, 643, 247, 125, 671, 164, 457, 463, 654, 506, 476, 508, 497, 748, 62, 188, 389, 632, 681, 63, 767, 381, 713, 3, 88, 60, 39, 760, 158, 480, 267, 53, 574, 513, 150, 414, 418, 153, 596, 455, 609, 532, 251, 472, 479, 135, 54, 112, 404, 366, 476, 398, 658, 22, 792, 266, 155, 565, 440, 38, 656, 698, 416, 394, 682, 342, 262, 70, 40, 227, 680, 52, 607, 342, 403, 654, 529, 92, 456, 103, 259, 496, 350, 645, 245, 129, 486, 189, 697, 259, 659, 433, 483, 293, 263, 408, 106, 504, 152, 319, 646, 609, 31, 29, 255, 100, 600, 42, 341, 349, 500, 365, 465, 508, 765, 382, 502, 642, 656, 257, 541, 156, 767, 238, 718, 81, 198, 709, 430, 612, 532, 560, 191, 803, 647, 482, 156, 324, 191, 587, 360, 756, 201, 263, 501, 134, 473, 704, 547, 758, 580, 474, 154, 664, 602, 110, 364, 446, 493, 763, 108, 519, 92, 266, 399, 61, 406, 614, 22, 679, 344, 588, 232, 370, 657, 271, 332, 123, 253, 611, 304, 249, 180, 215, 488, 516, 423, 358, 161, 410, 420, 768, 242, 313, 339, 261, 37, 799, 186, 739, 361, 208, 125, 441, 365, 387, 719, 357, 757, 579, 372, 11, 450, 486, 771, 252, 484, 152, 272, 139, 436, 166, 698, 504, 779, 762, 127, 740, 519, 578, 416, 87, 93, 103, 326, 438, 784, 782, 780, 651, 670, 432, 482, 731, 479, 525, 798, 243, 296, 801, 570, 621, 759, 601, 444, 253, 343, 448, 559, 613, 90, 442, 724, 674, 467, 312, 176, 694, 434, 367, 303, 46, 226, 177, 446, 358, 711, 469, 236, 435, 806, 538, 247, 512, 421, 92, 421, 45, 452, 807, 249, 558, 137, 149, 797, 649, 637, 591, 214, 365, 358, 711, 779, 518, 576, 124, 187, 604, 563, 608, 627, 20, 248, 717, 177, 195, 435, 720, 61, 268, 516, 407, 83, 799, 687, 263, 733, 454, 315, 6, 288, 117, 408, 701, 113, 436, 238, 171, 797, 768, 765, 595, 86, 64, 716, 600, 315, 433, 213, 36, 715, 772, 636, 698, 78, 631, 199, 329, 14, 450, 179, 474, 648, 626, 174, 401, 323, 617, 21, 549, 687, 481, 226, 551, 594, 444, 266, 150, 177, 782, 122, 50, 222, 132, 274, 377, 81, 354, 23, 495, 672, 652, 591, 783, 361, 376, 415, 668, 316, 653, 106, 294, 133, 494, 756, 384, 781, 214, 249, 657, 695, 572, 159, 302, 207, 181, 44, 770, 623, 785, 36, 47, 528, 736, 252, 326, 549, 195, 373, 73, 342, 641, 660, 666, 688, 237, 286, 246, 251, 477, 289, 683, 700, 594, 591, 544, 622, 0, 195, 740, 509, 211, 524, 445, 696, 216, 637, 655, 480, 776, 571, 551, 364, 213, 802, 684, 530, 175, 356, 478, 612, 71, 157, 552, 216, 301, 685, 355, 805, 766, 489, 337, 275, 796, 88, 131, 700, 439, 671, 394, 585, 73, 507, 552, 781, 631, 463, 692, 128, 94, 368, 676, 472, 627, 580, 57, 69, 189, 289, 792, 380, 171, 442, 309, 401, 411, 62, 620, 226, 116, 202, 796, 785, 581, 793, 696, 646, 580, 95, 710, 208, 443, 798, 102, 50, 420, 719, 493, 136, 51, 44, 173, 68, 673, 257, 253, 363, 337, 772, 414, 276, 390, 473, 29, 393, 671, 749, 76, 705, 429, 590, 217, 125, 539, 372, 378, 615, 713, 462, 174, 272, 470, 242, 473, 561, 1, 647, 738, 668, 313, 670, 47, 160, 615, 39, 548, 260, 105, 491, 164, 702, 314, 426, 9, 729, 535, 752, 621, 400, 445, 464, 185, 283, 135, 600, 166, 83, 442, 355, 130, 230, 533, 618, 610, 306, 296, 374, 431, 378, 23, 498, 39, 277, 447, 9, 692, 192, 348, 123, 592, 345, 701, 636, 74, 685, 618, 111, 2, 647, 521, 201, 676, 141, 403, 446, 252, 373, 419, 258, 230, 6, 392, 633, 716, 569, 574, 0, 290, 797, 624, 182, 371, 675, 452, 236, 710, 359, 192, 321, 221, 324, 750, 533, 674, 744, 745, 167, 38, 155, 515, 483, 332, 444, 540, 537, 714, 433, 511, 535, 474, 458, 196, 124, 431, 200, 709, 388, 70, 470, 344, 385, 665, 627, 447, 302, 793, 743, 283, 465, 512, 747, 700, 397, 369, 534, 468, 579, 321, 135, 29, 138, 567, 251, 635, 398, 536, 689, 183, 196, 200, 645, 392, 672, 586, 8, 795, 283, 564, 305, 410, 371, 560, 307, 298, 571, 500, 354, 590, 174, 368, 597, 789, 23, 145, 120, 574, 620, 45, 130, 60, 453, 678, 438, 26, 308, 596, 498, 127, 506, 157, 292, 492, 775, 234, 228, 430, 20, 309, 512, 601, 330, 108, 484, 196, 78, 544, 418, 791, 599, 241, 511, 282, 347, 193, 331, 754, 42, 139, 778, 578, 237, 119, 386, 687, 706, 74, 40, 118, 237, 424, 447, 795, 391, 134, 297, 788, 203, 801, 503, 280, 144, 718, 382, 235, 507, 19, 366, 316, 581, 693, 140, 181, 727, 651, 276, 633, 692, 451, 118, 333, 91, 728, 439, 150, 736, 654, 518, 629, 57, 428, 340, 663, 634, 12, 322, 443, 202, 314, 138, 79, 498, 517, 757, 776, 109, 306, 491, 336, 453, 197, 74, 13, 454, 463, 702, 172, 529, 44, 460, 228, 85, 551, 491, 608, 260, 105, 274, 8, 567, 114, 434, 18, 7, 493, 161, 738, 347, 583, 265, 480, 735, 106, 495, 246, 30, 269, 287, 123, 58, 163, 17, 802, 695, 265, 790, 30, 539, 24, 661, 65, 599, 211, 72, 318, 488, 719, 35, 101, 339, 684, 527, 802, 468, 170, 555, 21, 735, 626, 531, 304, 743, 254, 169, 497, 454, 366, 4, 487, 236, 753, 615, 646, 414, 710, 391, 623, 281, 422, 542, 269, 542, 407, 154, 705, 694, 354, 176, 567, 191, 744, 620, 478, 641, 541, 711, 64, 313, 419, 526, 193, 701, 538, 715, 708, 173, 752, 568, 694, 558, 658, 537, 488, 26, 233, 51, 554, 751, 46, 377, 608, 388, 644, 419, 617, 367, 486, 505, 205, 268, 405, 477, 767, 643, 528, 655, 739, 140, 307, 800, 381, 740, 370, 438, 257, 566, 477, 247, 336, 540, 213, 679, 114, 115, 559, 734, 559, 526, 14, 624, 782, 756, 370, 523, 262, 562, 657, 455, 201, 685, 303, 361, 530, 360, 337, 194, 120, 610, 616, 143, 519, 182, 188, 595, 356, 566, 66, 221, 538, 58, 631, 396, 492, 77, 165, 109, 340, 466, 163, 179, 333, 98, 434, 232, 31, 301, 176, 669, 562, 655, 554, 371, 387, 531, 625, 496, 288, 32, 288, 794, 391, 45, 111, 543, 450, 749, 510, 468, 162, 131, 667, 750, 275, 503, 31, 763, 530, 279, 11, 457, 714, 108, 629, 96, 281, 69, 746, 506, 181, 331, 754, 544, 520, 644, 33, 61, 260, 545, 347, 289, 409, 327, 94, 54, 115, 632, 272, 221, 613, 63, 128, 485, 85, 268, 77, 335, 743, 770, 206, 49, 794, 355, 141, 516, 269, 750, 660, 470, 503, 773, 60}

    {37, 343, 803, 601, 755, 222, 663, 741, 165, 607, 331, 684, 324, 805, 509, 4, 185, 75, 561, 300, 736, 396, 317, 397, 715, 209, 481, 235, 761, 727, 766, 399, 56, 258, 104, 720, 455, 256, 490, 325, 556, 153, 479, 234, 400, 298, 154, 325, 769, 328, 198, 584, 271, 240, 379, 212, 409, 703, 380, 487, 640, 116, 156, 112, 207, 804, 550, 773, 267, 25, 576, 713, 15, 714, 224, 656, 505, 72, 734, 214, 18, 379, 122, 101, 32, 728, 569, 242, 677, 46, 28, 779, 245, 712, 353, 10, 735, 789, 523, 240, 375, 286, 623, 69, 652, 594, 777, 753, 535, 588, 300, 151, 160, 97, 686, 404, 41, 650, 330, 599, 786, 375, 279, 147, 495, 72, 259, 804, 706, 346, 575, 244, 367, 733, 350, 78, 582, 762, 384, 244, 206, 151, 222, 280, 441, 423, 744, 327, 219, 691, 89, 730, 4, 393, 0, 6, 786, 648, 229, 340, 126, 758, 115, 86, 517, 733, 726, 686, 362, 235, 587, 318, 356, 422, 708, 352, 357, 89, 121, 113, 228, 556, 640, 320, 290, 622, 722, 227, 640, 609, 300, 264, 630, 482, 105, 142, 753, 90, 309, 795, 279, 84, 129, 508, 122, 132, 662, 564, 167, 43, 27, 462, 320, 775, 25, 71, 467, 244, 552, 570, 514, 737, 585, 459, 638, 658, 616, 626, 1, 321, 359, 94, 95, 353, 254, 664, 113, 295, 178, 708, 584, 389, 649, 603, 332, 278, 96, 800, 173, 299, 110, 218, 628, 412, 781, 691, 511, 25, 328, 199, 765, 686, 267, 426, 617, 245, 239, 796, 109, 557, 565, 638, 406, 273, 402, 659, 548, 725, 121, 110, 301, 514, 5, 732, 770, 146, 690, 401, 248, 727, 37, 652, 593, 522, 352, 255, 748, 102, 291, 141, 394, 137, 777, 734, 799, 764, 761, 285, 721, 243, 208, 440, 205, 764, 472, 635, 396, 415, 667, 178, 273, 639, 15, 410, 569, 460, 662, 704, 146, 161, 220, 490, 175, 613, 546, 89, 413, 628, 254, 55, 88, 127, 520, 230, 117, 270, 190, 308, 522, 5, 741, 372, 524, 485, 425, 311, 172, 182, 688, 171, 403, 82, 432, 484, 661, 774, 604, 211, 84, 489, 543, 502, 424, 239, 142, 402, 536, 806, 305, 630, 57, 28, 152, 665, 412, 297, 742, 333, 84, 763, 79, 745, 577, 682, 233, 137, 800, 807, 475, 104, 204, 660, 405, 149, 624, 62, 49, 762, 27, 71, 329, 303, 216, 334, 307, 220, 7, 507, 144, 3, 35, 772, 310, 34, 381, 264, 2, 376, 605, 622, 50, 675, 298, 373, 595, 742, 277, 163, 427, 14, 448, 505, 205, 100, 469, 751, 344, 334, 788, 550, 83, 746, 225, 76, 320, 417, 231, 398, 162, 149, 513, 790, 189, 639, 223, 742, 232, 15, 334, 282, 589, 186, 602, 675, 229, 270, 47, 478, 188, 548, 462, 287, 641, 192, 345, 673, 665, 131, 582, 798, 322, 636, 16, 582, 638, 604, 256, 689, 475, 87, 207, 437, 180, 335, 168, 785, 593, 607, 323, 553, 184, 778, 364, 43, 12, 576, 5, 522, 158, 523, 362, 296, 575, 527, 49, 525, 153, 95, 382, 54, 545, 210, 209, 19, 212, 99, 565, 490, 458, 349, 520, 666, 133, 747, 343, 578, 720, 496, 614, 386, 669, 573, 739, 215, 346, 185, 664, 634, 432, 554, 464, 628, 459, 142, 136, 139, 112, 449, 80, 760, 427, 302, 397, 603, 464, 514, 145, 722, 572, 504, 59, 683, 93, 573, 773, 210, 132, 651, 759, 466, 721, 784, 806, 596, 360, 1, 351, 312, 338, 16, 755, 650, 282, 417, 99, 787, 297, 619, 274, 231, 32, 203, 456, 8, 456, 681, 598, 339, 531, 752, 143, 408, 98, 203, 533, 261, 326, 383, 537, 312, 421, 428, 389, 75, 611, 194, 584, 598, 194, 780, 317, 689, 425, 168, 539, 206, 164, 77, 202, 36, 583, 385, 471, 680, 187, 101, 405, 133, 157, 731, 677, 34, 418, 246, 225, 330, 602, 730, 515, 229, 160, 218, 723, 140, 557, 563, 190, 780, 678, 377, 299, 224, 304, 422, 316, 392, 571, 760, 801, 542, 184, 550, 348, 219, 494, 707, 317, 521, 291, 56, 147, 642, 148, 768, 483, 335, 87, 217, 103, 217, 128, 449, 10, 197, 697, 730, 561, 386, 416, 703, 707, 51, 606, 158, 390, 278, 461, 292, 543, 169, 395, 341, 67, 776, 119, 146, 56, 653, 119, 547, 661, 159, 107, 55, 717, 668, 515, 764, 378, 737, 248, 667, 82, 642, 443, 383, 220, 187, 111, 427, 637, 489, 144, 97, 807, 26, 726, 10, 670, 555, 437, 585, 86, 66, 99, 461, 459, 180, 426, 41, 315, 59, 28, 430, 728, 190, 524, 429, 169, 241, 435, 178, 546, 138, 145, 34, 212, 58, 227, 440, 107, 68, 17, 218, 197, 35, 33, 748, 250, 351, 186, 162, 379, 784, 616, 712, 774, 82, 170, 318, 170, 598, 97, 804, 563, 24, 441, 420, 346, 81, 280, 223, 448, 223, 579, 721, 383, 761, 706, 791, 148, 91, 528, 705, 250, 98, 691, 306, 588, 198, 241, 21, 204, 311, 357, 319, 225, 240, 275, 589, 294, 281, 789, 467, 723, 431, 18, 693, 117, 338, 605, 73, 769, 234, 699, 107, 369, 104, 674, 85, 650, 428, 717, 291, 677, 653, 716, 500, 790, 48, 209, 41, 345, 556, 287, 541, 148, 183, 65, 577, 286, 270, 745, 121, 193, 24, 96, 741, 399, 766, 586, 725, 179, 497, 575, 407, 380, 619, 204, 374, 20, 724, 457, 562, 662, 116, 17, 545, 295, 175, 143, 53, 183, 120, 210, 271, 375, 48, 592, 155, 481, 231, 572, 549, 669, 369, 513, 166, 411, 680, 521, 261, 461, 570, 63, 384, 59, 68, 568, 437, 65, 553, 310, 126, 412, 168, 40, 16, 635, 184, 423, 791, 499, 629, 621, 460, 510, 494, 526, 732, 299, 413, 172, 786, 771, 53, 697, 239, 805, 774, 794, 9, 376, 729, 11, 683, 406, 126, 310, 663, 352, 568, 363, 67, 285, 388, 452, 771, 757, 529, 487, 395, 319, 322, 606, 284, 471, 277, 525, 759, 573, 90, 93, 136, 294, 632, 509, 48, 737, 699, 43, 644, 453, 547, 451, 557, 417, 134, 424, 793, 295, 64, 755, 353, 803, 614, 359, 42, 709, 499, 676, 67, 323, 645, 746, 778, 693, 129, 402, 425, 540, 80, 233, 558, 749, 264, 118, 634, 690, 368, 293, 518, 165, 292, 284, 7, 250, 673, 76, 52, 723, 777, 159, 597, 583, 255, 243, 754, 13, 200, 672, 466, 695, 22, 681, 265, 738, 390, 258, 70, 52, 348, 590, 38, 55, 610, 362, 325, 696, 666, 224, 783, 311, 517, 611, 130, 393, 648, 499, 2, 458, 564, 445, 510, 589, 293, 625, 682, 606, 534, 19, 151, 404, 278, 284, 618, 290, 329, 679, 633, 703, 167, 659, 592, 238, 502, 725, 603, 625, 374, 415, 471, 308, 688, 314, 387, 305, 27, 476, 492, 451, 13, 3, 593, 351, 704, 546, 712, 729, 718, 436, 643, 501, 722, 215, 124, 66, 586, 285, 678, 350, 732, 577, 79, 485, 12, 724, 199, 256, 597, 649, 501, 439, 769, 587, 787, 699, 619, 341, 475, 639, 273, 349, 338, 409, 787, 33, 788, 553, 327, 30, 102}

    Returns: {0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1 }

  76. 892

    {69, 74, 169, 484, 550, 221, 231, 364, 59, 452, 787, 321, 623, 524, 295, 552, 81, 48, 718, 363, 97, 360, 181, 283, 829, 448, 492, 580, 427, 94, 145, 520, 186, 288, 645, 410, 467, 629, 244, 733, 813, 737, 438, 863, 802, 83, 135, 627, 163, 492, 326, 267, 775, 127, 531, 245, 598, 353, 707, 756, 11, 452, 12, 852, 459, 887, 401, 203, 343, 456, 494, 480, 560, 529, 526, 178, 806, 144, 596, 844, 825, 233, 826, 195, 594, 840, 0, 440, 337, 556, 152, 831, 95, 681, 877, 819, 328, 121, 420, 759, 748, 710, 833, 803, 764, 34, 207, 164, 51, 549, 24, 780, 393, 190, 766, 627, 279, 182, 207, 622, 311, 511, 133, 774, 137, 310, 784, 303, 653, 219, 726, 552, 35, 467, 559, 33, 544, 157, 8, 416, 580, 76, 618, 497, 442, 249, 495, 753, 312, 351, 329, 886, 456, 50, 435, 349, 133, 539, 225, 34, 593, 181, 671, 245, 747, 650, 566, 802, 80, 209, 607, 318, 205, 208, 426, 39, 218, 688, 74, 9, 303, 191, 647, 485, 199, 832, 204, 66, 568, 104, 589, 273, 157, 717, 874, 317, 890, 473, 48, 115, 591, 618, 568, 177, 169, 714, 472, 261, 812, 46, 634, 171, 23, 86, 488, 504, 594, 820, 435, 129, 814, 758, 724, 821, 866, 175, 587, 713, 660, 453, 541, 339, 583, 6, 196, 783, 754, 508, 422, 722, 319, 841, 16, 183, 366, 385, 309, 230, 649, 625, 60, 212, 167, 761, 690, 562, 728, 129, 67, 505, 294, 596, 15, 53, 161, 841, 582, 423, 878, 611, 348, 317, 654, 855, 523, 869, 39, 639, 523, 645, 426, 868, 817, 872, 101, 783, 522, 65, 14, 292, 368, 487, 386, 569, 121, 769, 655, 430, 798, 379, 276, 171, 790, 430, 757, 246, 673, 649, 791, 230, 105, 213, 65, 519, 406, 808, 308, 367, 535, 734, 294, 842, 287, 49, 176, 359, 702, 718, 307, 178, 6, 841, 461, 434, 443, 553, 422, 298, 373, 187, 55, 347, 807, 565, 822, 10, 348, 694, 68, 723, 826, 861, 739, 223, 804, 71, 554, 176, 84, 480, 667, 57, 208, 7, 182, 617, 737, 219, 572, 694, 176, 161, 19, 88, 70, 237, 762, 858, 118, 189, 832, 793, 378, 624, 629, 535, 394, 750, 197, 572, 386, 675, 264, 347, 713, 331, 552, 171, 657, 744, 343, 844, 523, 134, 222, 158, 878, 229, 642, 786, 0, 661, 22, 41, 730, 709, 651, 541, 856, 710, 867, 280, 565, 256, 784, 484, 881, 375, 236, 752, 760, 651, 606, 90, 338, 625, 824, 306, 58, 356, 199, 352, 80, 637, 415, 853, 384, 290, 787, 496, 380, 262, 743, 564, 693, 637, 714, 813, 626, 631, 10, 205, 417, 600, 512, 407, 334, 691, 111, 864, 582, 540, 658, 505, 474, 691, 606, 305, 869, 410, 578, 279, 439, 421, 573, 831, 530, 357, 863, 285, 486, 801, 37, 395, 323, 628, 725, 565, 162, 628, 701, 564, 807, 599, 462, 314, 633, 464, 408, 539, 330, 508, 192, 692, 664, 397, 398, 323, 524, 457, 448, 156, 391, 403, 741, 42, 3, 630, 116, 647, 152, 687, 678, 74, 216, 368, 654, 798, 396, 319, 740, 235, 214, 603, 68, 330, 27, 817, 142, 364, 82, 67, 658, 25, 66, 834, 862, 69, 705, 300, 550, 792, 328, 836, 792, 758, 735, 477, 264, 381, 259, 512, 493, 579, 407, 395, 503, 533, 421, 543, 742, 443, 55, 830, 81, 364, 487, 126, 263, 620, 544, 726, 387, 647, 48, 680, 324, 609, 773, 59, 810, 202, 621, 645, 380, 818, 43, 883, 277, 208, 59, 260, 25, 391, 412, 11, 261, 668, 353, 281, 698, 78, 739, 789, 832, 502, 759, 814, 609, 246, 434, 556, 149, 362, 412, 793, 721, 367, 887, 686, 621, 860, 585, 339, 180, 75, 28, 441, 440, 656, 94, 668, 275, 571, 137, 237, 761, 274, 168, 634, 665, 595, 458, 845, 864, 244, 558, 80, 257, 370, 471, 883, 341, 512, 682, 341, 172, 709, 585, 657, 372, 5, 335, 765, 423, 125, 750, 510, 575, 444, 772, 125, 209, 526, 476, 689, 33, 653, 761, 44, 641, 818, 616, 379, 384, 766, 718, 471, 36, 825, 128, 732, 375, 63, 480, 621, 411, 400, 864, 172, 140, 336, 819, 790, 203, 14, 97, 400, 799, 527, 730, 100, 715, 18, 126, 163, 444, 67, 845, 77, 169, 266, 115, 331, 252, 576, 36, 457, 58, 887, 153, 545, 880, 294, 727, 372, 345, 279, 868, 746, 222, 310, 336, 330, 322, 493, 133, 739, 356, 342, 753, 353, 646, 8, 226, 214, 858, 222, 344, 38, 632, 679, 849, 260, 651, 263, 7, 141, 300, 19, 201, 40, 382, 98, 248, 366, 478, 858, 591, 371, 436, 305, 332, 175, 198, 14, 644, 708, 49, 481, 686, 711, 685, 110, 417, 111, 876, 558, 700, 221, 30, 274, 406, 66, 168, 595, 743, 301, 16, 852, 869, 148, 847, 783, 98, 834, 147, 85, 617, 318, 515, 530, 522, 381, 811, 135, 734, 113, 788, 669, 267, 768, 82, 184, 23, 427, 224, 675, 684, 595, 339, 223, 559, 471, 35, 414, 357, 187, 564, 15, 41, 283, 181, 316, 890, 672, 117, 677, 834, 299, 755, 1, 669, 131, 398, 673, 797, 426, 405, 93, 95, 2, 363, 796, 411, 646, 732, 141, 791, 655, 662, 138, 180, 215, 139, 438, 291, 106, 274, 800, 574, 648, 371, 863, 711, 16, 122, 498, 143, 225, 315, 824, 499, 413, 215, 839, 691, 570, 696, 198, 441, 723, 256, 593, 870, 284, 851, 549, 889, 170, 521, 357, 656, 737, 140, 271, 366, 136, 42, 883, 792, 288, 620, 519, 555, 179, 514, 850, 436, 497, 375, 227, 183, 726, 701, 533, 168, 752, 201, 582, 264, 26, 90, 157, 489, 365, 65, 262, 860, 399, 148, 58, 103, 30, 689, 109, 690, 457, 247, 499, 662, 794, 624, 586, 272, 826, 742, 256, 100, 56, 534, 127, 309, 373, 757, 414, 729, 638, 27, 146, 298, 246, 118, 193, 891, 835, 369, 121, 244, 390, 806, 806, 235, 160, 603, 165, 233, 365, 566, 703, 553, 493, 760, 630, 101, 505, 55, 89, 355, 795, 609, 537, 735, 75, 206, 703, 52, 391, 352, 839, 417, 316, 87, 123, 629, 106, 253, 212, 557, 2, 305, 259, 623, 178, 813, 396, 25, 541, 251, 706, 677, 786, 286, 108, 109, 83, 179, 63, 323, 640, 853, 511, 402, 278, 164, 108, 287, 770, 534, 466, 805, 96, 322, 860, 623, 282, 172, 775, 486, 617, 683, 483, 657, 82, 558, 234, 563, 641, 71, 786, 536, 865, 134, 231, 719, 539, 382, 665, 342, 472, 888, 89, 482, 854, 456, 462, 856, 72, 406, 871, 663, 675, 404, 543, 410, 428, 529, 79, 467, 205, 660, 490, 315, 638, 884, 17, 517, 22, 866, 741, 282, 483, 146, 420, 845, 41, 239, 848, 183, 326, 465, 661, 318, 195, 610, 53, 51, 370, 248, 448, 348, 670, 472, 628, 721, 107, 437, 851, 234, 553, 656, 507, 277, 425, 680, 254, 764, 87, 661, 154, 532, 397, 702, 773, 47, 847, 107, 204, 655, 881, 669, 113, 117, 481, 329, 235, 532, 164, 105, 239, 53, 746, 837, 525, 396, 830, 385, 227, 425, 437, 773, 267, 560, 823, 785, 577, 770, 587, 422, 288, 2, 796, 245, 660, 491, 573, 47, 885, 787, 194, 549, 781, 724, 421, 534, 135, 666, 703, 478, 866, 844, 47, 315, 265, 72, 140, 728, 424, 644, 538, 103, 499, 593, 395, 789, 494, 414, 76, 233, 479, 243, 459, 263, 487, 842, 333, 321, 531, 601, 154, 350, 821, 811, 574, 885, 836, 9, 258, 26, 209, 829, 637, 425, 784, 517, 313, 458, 57, 255, 587, 720, 230, 513, 509, 676, 462, 762, 590, 521, 666, 286, 346, 17, 39, 649, 260, 880, 124, 626, 94, 468, 692, 496, 484, 619, 12, 68, 447, 607, 299, 285, 265, 327, 741, 888, 110, 287, 194}

    {469, 583, 685, 158, 189, 809, 776, 684, 433, 89, 40, 272, 704, 632, 604, 281, 394, 280, 543, 705, 854, 566, 886, 439, 820, 405, 388, 273, 123, 145, 608, 548, 477, 218, 603, 37, 365, 748, 384, 451, 346, 752, 848, 665, 378, 567, 622, 123, 542, 589, 79, 663, 38, 473, 335, 145, 259, 797, 389, 873, 550, 238, 478, 551, 206, 163, 470, 162, 475, 33, 816, 328, 284, 232, 599, 301, 514, 240, 612, 84, 800, 177, 401, 605, 190, 350, 884, 852, 767, 232, 491, 304, 196, 635, 258, 538, 81, 578, 289, 547, 61, 85, 336, 435, 601, 567, 889, 156, 581, 372, 485, 45, 13, 736, 501, 725, 670, 37, 78, 859, 495, 547, 262, 861, 616, 56, 575, 482, 4, 155, 452, 698, 557, 20, 220, 332, 64, 597, 463, 114, 672, 408, 280, 867, 641, 779, 782, 695, 253, 508, 630, 91, 125, 884, 31, 516, 693, 90, 38, 597, 632, 342, 166, 608, 54, 764, 749, 754, 485, 782, 147, 258, 226, 579, 729, 710, 516, 363, 494, 433, 413, 738, 344, 398, 271, 853, 865, 184, 519, 409, 194, 827, 34, 843, 575, 888, 805, 791, 290, 424, 686, 77, 139, 430, 136, 592, 614, 882, 879, 238, 714, 627, 347, 182, 597, 199, 871, 450, 106, 684, 560, 268, 278, 581, 254, 843, 131, 203, 461, 768, 146, 154, 816, 652, 201, 52, 446, 574, 554, 470, 217, 850, 273, 431, 765, 495, 681, 808, 162, 173, 782, 293, 314, 50, 447, 643, 642, 862, 527, 253, 56, 756, 579, 19, 167, 568, 277, 52, 185, 373, 278, 778, 136, 293, 510, 676, 842, 4, 197, 571, 521, 699, 423, 411, 156, 817, 43, 584, 453, 91, 586, 538, 755, 879, 800, 32, 754, 682, 891, 22, 108, 720, 712, 755, 652, 400, 749, 713, 320, 228, 652, 45, 821, 236, 269, 228, 756, 166, 877, 442, 409, 358, 143, 506, 526, 293, 459, 688, 7, 497, 751, 374, 185, 61, 804, 829, 659, 643, 520, 18, 849, 128, 879, 556, 798, 350, 338, 98, 537, 476, 198, 626, 160, 218, 697, 399, 763, 636, 548, 540, 431, 465, 445, 247, 767, 438, 138, 285, 132, 88, 840, 496, 217, 193, 750, 524, 311, 781, 418, 358, 99, 432, 446, 716, 434, 589, 354, 776, 127, 885, 173, 322, 664, 729, 73, 555, 329, 427, 678, 429, 188, 774, 692, 664, 709, 588, 551, 62, 102, 111, 828, 466, 349, 271, 687, 283, 876, 416, 97, 393, 210, 159, 362, 449, 874, 255, 489, 489, 269, 306, 211, 343, 449, 460, 112, 177, 131, 407, 812, 671, 803, 361, 808, 889, 179, 428, 142, 738, 78, 546, 255, 730, 838, 36, 377, 823, 862, 683, 774, 557, 296, 310, 346, 745, 28, 138, 697, 548, 731, 573, 252, 354, 780, 545, 129, 84, 60, 715, 204, 337, 825, 63, 561, 612, 62, 571, 325, 76, 828, 696, 337, 528, 486, 635, 354, 325, 73, 610, 875, 116, 614, 780, 370, 636, 122, 635, 248, 734, 112, 460, 296, 454, 816, 320, 500, 554, 24, 313, 576, 161, 85, 151, 745, 838, 130, 174, 345, 281, 130, 219, 567, 377, 611, 359, 819, 241, 685, 160, 619, 307, 32, 468, 192, 847, 476, 299, 115, 736, 536, 488, 367, 27, 213, 679, 772, 648, 634, 654, 559, 200, 405, 49, 313, 341, 389, 598, 870, 389, 500, 297, 268, 18, 594, 445, 240, 309, 450, 455, 107, 220, 96, 334, 735, 324, 200, 474, 216, 110, 308, 601, 228, 243, 376, 696, 796, 290, 683, 711, 515, 9, 605, 317, 464, 304, 158, 631, 210, 518, 815, 15, 537, 545, 753, 851, 380, 13, 190, 149, 562, 29, 270, 40, 822, 809, 600, 286, 402, 451, 810, 837, 638, 447, 838, 232, 588, 648, 824, 689, 316, 768, 229, 483, 374, 680, 150, 536, 289, 64, 551, 461, 3, 403, 873, 604, 383, 602, 613, 137, 88, 592, 50, 650, 805, 490, 62, 418, 284, 24, 704, 812, 212, 820, 801, 420, 173, 153, 513, 210, 850, 837, 376, 61, 515, 29, 727, 252, 276, 320, 746, 855, 857, 332, 606, 296, 570, 639, 32, 706, 57, 745, 51, 35, 779, 254, 75, 700, 577, 214, 45, 785, 241, 608, 555, 670, 200, 251, 598, 92, 229, 823, 482, 327, 491, 650, 720, 701, 663, 392, 419, 340, 693, 857, 731, 211, 827, 733, 359, 424, 381, 159, 69, 716, 527, 700, 815, 602, 658, 681, 569, 719, 528, 846, 387, 789, 882, 388, 282, 771, 778, 360, 43, 221, 351, 599, 326, 261, 687, 876, 706, 72, 679, 298, 249, 633, 409, 583, 150, 439, 155, 270, 602, 695, 211, 880, 475, 873, 525, 275, 540, 247, 795, 207, 749, 193, 8, 225, 291, 180, 453, 769, 518, 415, 815, 532, 470, 777, 436, 432, 707, 785, 614, 401, 469, 744, 751, 592, 475, 814, 881, 104, 797, 563, 585, 100, 397, 640, 303, 561, 744, 891, 533, 441, 304, 871, 659, 811, 114, 13, 79, 877, 531, 116, 867, 196, 432, 23, 251, 250, 20, 831, 856, 777, 639, 87, 859, 875, 503, 848, 474, 620, 77, 120, 688, 855, 325, 794, 42, 849, 213, 445, 667, 301, 292, 733, 119, 827, 446, 799, 708, 840, 625, 119, 590, 383, 502, 431, 643, 368, 358, 451, 490, 334, 577, 618, 513, 616, 454, 612, 197, 117, 857, 770, 250, 672, 236, 747, 12, 803, 646, 361, 351, 321, 740, 465, 722, 126, 132, 415, 429, 29, 458, 563, 17, 242, 429, 676, 520, 723, 155, 666, 507, 402, 60, 576, 289, 542, 99, 376, 674, 757, 622, 404, 185, 144, 743, 504, 775, 469, 408, 644, 186, 379, 712, 374, 501, 498, 699, 269, 503, 561, 766, 71, 667, 46, 124, 865, 763, 240, 297, 769, 134, 443, 547, 488, 331, 268, 509, 377, 506, 227, 64, 807, 99, 562, 794, 21, 362, 546, 319, 413, 184, 4, 839, 859, 793, 390, 102, 762, 333, 104, 266, 510, 546, 678, 105, 356, 241, 748, 340, 607, 30, 92, 257, 763, 440, 132, 742, 481, 257, 605, 868, 699, 276, 822, 590, 455, 682, 20, 382, 96, 224, 727, 870, 765, 151, 312, 760, 46, 460, 95, 195, 433, 28, 418, 119, 437, 882, 428, 578, 165, 6, 93, 333, 73, 5, 31, 265, 192, 130, 26, 498, 758, 142, 522, 324, 206, 695, 147, 464, 166, 419, 715, 113, 468, 747, 152, 291, 771, 300, 712, 103, 759, 511, 174, 101, 70, 215, 144, 624, 843, 302, 728, 54, 707, 118, 3, 872, 698, 86, 109, 830, 186, 611, 671, 93, 506, 383, 581, 188, 731, 704, 716, 500, 70, 542, 355, 360, 0, 91, 124, 202, 243, 242, 615, 740, 572, 615, 292, 139, 736, 615, 479, 174, 705, 239, 44, 610, 21, 788, 809, 833, 297, 890, 5, 613, 403, 112, 120, 223, 631, 507, 234, 114, 187, 795, 504, 767, 54, 673, 479, 613, 175, 509, 722, 690, 525, 442, 569, 463, 11, 517, 771, 591, 818, 779, 308, 102, 600, 477, 450, 878, 148, 371, 153, 191, 349, 640, 772, 717, 159, 717, 659, 302, 355, 677, 295, 596, 266, 378, 501, 604, 502, 802, 361, 270, 231, 466, 151, 170, 86, 307, 874, 92, 217, 702, 633, 449, 188, 801, 369, 335, 854, 719, 674, 352, 220, 306, 721, 694, 120, 804, 738, 732, 327, 83, 463, 419, 122, 788, 388, 387, 150, 404, 275, 165, 128, 390, 642, 392, 516, 861, 799, 1, 312, 886, 149, 369, 340, 224, 216, 44, 668, 237, 167, 226, 444, 653, 338, 386, 21, 238, 1, 141, 514, 393, 662, 708, 202, 790, 191, 636, 584, 272, 454, 835, 528, 31, 535, 697, 311, 518, 674, 836, 781, 724, 394, 619, 828, 588, 249, 875, 544, 872, 584, 455, 835, 385, 295, 586, 810, 250, 751, 242, 189, 725, 846, 846, 777, 399, 345, 776, 473, 314, 412, 302, 392, 570, 529, 416, 10, 344, 170, 833, 530, 778, 143, 580, 492}

    Returns: {1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1 }

  77. 844

    {653, 283, 804, 725, 531, 623, 294, 370, 318, 617, 178, 704, 10, 282, 327, 66, 221, 145, 204, 195, 288, 798, 125, 292, 624, 174, 808, 353, 18, 499, 99, 407, 147, 470, 706, 499, 376, 388, 423, 615, 343, 634, 7, 830, 738, 56, 156, 316, 67, 81, 106, 108, 201, 105, 739, 628, 728, 263, 772, 453, 324, 496, 48, 43, 605, 426, 533, 745, 604, 519, 579, 454, 329, 761, 789, 588, 207, 170, 303, 800, 576, 114, 753, 160, 58, 735, 404, 54, 807, 605, 108, 315, 581, 279, 624, 131, 415, 87, 554, 279, 562, 174, 503, 617, 418, 397, 814, 589, 84, 733, 578, 533, 35, 633, 360, 633, 461, 421, 762, 528, 393, 567, 218, 544, 711, 81, 365, 128, 534, 227, 334, 475, 420, 514, 472, 216, 695, 103, 773, 656, 724, 308, 646, 683, 718, 681, 527, 353, 322, 217, 39, 620, 283, 701, 816, 525, 796, 515, 219, 181, 96, 401, 440, 51, 619, 155, 113, 427, 284, 768, 574, 225, 579, 613, 404, 352, 166, 632, 527, 387, 558, 843, 326, 12, 462, 368, 671, 163, 659, 342, 577, 508, 2, 184, 315, 798, 13, 286, 175, 30, 239, 226, 92, 297, 468, 441, 749, 417, 688, 111, 832, 33, 275, 370, 657, 781, 272, 703, 72, 728, 734, 60, 755, 184, 287, 613, 602, 606, 562, 460, 144, 52, 555, 552, 144, 557, 543, 644, 291, 323, 287, 374, 203, 134, 36, 182, 770, 709, 526, 505, 596, 109, 222, 681, 200, 339, 531, 30, 197, 304, 302, 802, 251, 776, 638, 665, 140, 548, 685, 651, 459, 816, 770, 814, 489, 700, 652, 671, 161, 598, 550, 794, 206, 218, 346, 622, 565, 817, 797, 559, 814, 78, 647, 838, 372, 694, 414, 17, 145, 644, 394, 709, 741, 411, 477, 43, 625, 181, 296, 390, 504, 208, 44, 49, 347, 70, 338, 50, 478, 708, 706, 85, 586, 175, 246, 15, 782, 791, 389, 159, 401, 654, 209, 435, 48, 277, 600, 553, 723, 569, 778, 265, 591, 356, 665, 90, 819, 200, 609, 216, 606, 186, 735, 503, 746, 397, 233, 788, 430, 521, 327, 597, 600, 3, 702, 141, 629, 330, 841, 823, 747, 631, 785, 589, 383, 518, 668, 668, 384, 433, 332, 843, 149, 193, 207, 488, 842, 650, 164, 269, 363, 780, 824, 693, 259, 571, 719, 242, 18, 321, 38, 153, 782, 464, 564, 606, 441, 739, 781, 435, 433, 127, 202, 337, 161, 596, 61, 188, 675, 627, 356, 471, 99, 9, 130, 21, 447, 160, 116, 808, 53, 65, 824, 381, 716, 797, 698, 420, 591, 629, 504, 552, 54, 454, 382, 643, 41, 274, 177, 367, 806, 88, 158, 743, 815, 788, 297, 700, 593, 220, 536, 99, 438, 243, 820, 286, 765, 497, 494, 813, 588, 301, 409, 424, 544, 730, 775, 257, 522, 4, 748, 103, 549, 197, 344, 641, 524, 227, 449, 634, 302, 233, 612, 480, 322, 588, 810, 366, 786, 597, 468, 162, 664, 803, 800, 529, 534, 524, 224, 538, 166, 165, 71, 574, 367, 195, 12, 586, 25, 812, 379, 761, 289, 332, 565, 227, 762, 14, 271, 134, 392, 221, 468, 199, 678, 441, 616, 75, 547, 655, 407, 167, 552, 165, 232, 313, 792, 464, 67, 621, 203, 290, 535, 27, 833, 121, 762, 627, 497, 23, 19, 430, 26, 196, 375, 760, 26, 127, 705, 818, 489, 512, 696, 308, 676, 66, 253, 264, 587, 737, 24, 498, 107, 466, 486, 266, 329, 171, 112, 666, 503, 774, 690, 779, 39, 155, 757, 525, 261, 569, 405, 331, 667, 400, 489, 555, 16, 498, 643, 459, 95, 559, 330, 249, 571, 219, 424, 462, 432, 616, 695, 302, 231, 561, 713, 430, 826, 319, 125, 763, 699, 719, 474, 742, 374, 337, 541, 692, 709, 331, 716, 194, 685, 230, 254, 773, 58, 745, 650, 143, 753, 332, 777, 389, 408, 3, 335, 139, 288, 354, 331, 91, 267, 476, 298, 59, 457, 549, 156, 335, 608, 705, 601, 791, 585, 759, 364, 250, 236, 685, 747, 456, 385, 406, 123, 566, 483, 67, 732, 51, 481, 677, 842, 262, 614, 515, 277, 136, 335, 100, 439, 327, 28, 46, 397, 455, 416, 791, 760, 676, 497, 399, 379, 293, 13, 729, 225, 363, 556, 646, 367, 831, 582, 254, 59, 714, 88, 241, 545, 260, 286, 521, 520, 505, 439, 130, 93, 106, 107, 504, 181, 576, 440, 626, 638, 731, 100, 785, 42, 287, 469, 597, 508, 705, 77, 482, 544, 731, 802, 506, 14, 662, 208, 784, 252, 535, 528, 794, 837, 333, 790, 8, 679, 388, 778, 290, 72, 748, 92, 83, 83, 841, 635, 578, 838, 825, 60, 129, 480, 222, 172, 812, 540, 413, 514, 402, 831, 437, 443, 551, 0, 816, 73, 815, 526, 688, 749, 714, 95, 487, 179, 478, 354, 279, 228, 595, 743, 193, 110, 733, 22, 104, 842, 840, 12, 620, 575, 188, 163, 339, 189, 743, 350, 365, 431, 220, 352, 660, 735, 560, 412, 230, 63, 138, 536, 737, 517, 292, 8, 630, 635, 661, 704, 365, 583, 122, 265, 122, 65, 325, 215, 293, 637, 581, 360, 736, 36, 280, 659, 408, 678, 263, 469, 275, 104, 317, 295, 540, 409, 721, 784, 715, 116, 242, 746, 136, 244, 479, 707, 4, 657, 450, 196, 328, 697, 43, 77, 730, 733, 25, 680, 475, 149, 261, 586, 23, 721, 673, 482, 598, 571, 659, 680, 121, 358, 187, 357, 47, 296, 805, 289, 400, 152, 592, 172, 245, 780, 689, 184, 336, 505, 180, 368, 778, 366, 275, 406, 558, 591, 521, 348, 228, 350, 438, 310, 320, 61, 205, 247, 188, 5, 496, 221, 64, 692, 218, 611, 506, 569, 26, 416, 273, 36, 426, 525, 704, 755, 834, 631, 401, 654, 599, 744, 759, 836, 486, 149, 823, 293, 634, 833, 161, 0, 565, 473, 783, 660, 119, 607, 142, 126, 725, 274, 556, 146, 618, 9, 485, 233, 72, 732, 53, 207, 11, 477, 485, 155, 116, 410, 269, 402, 641, 11, 811, 114, 810, 651, 585, 837, 641, 110, 490, 831, 324, 835, 396, 758, 431, 575, 580, 483, 215, 27, 646, 138, 352, 172, 340, 434, 299, 694, 425, 106, 502, 194, 494, 825, 437, 428, 449, 370, 809, 261, 577, 744, 625, 329, 800, 69, 44, 238, 820, 115, 291, 451, 434, 715, 802, 338, 225, 731, 248, 540, 234, 259, 65, 127, 745, 632, 736, 594, 792, 507, 95, 841, 361, 671, 422, 690, 440, 129, 186, 433, 98, 405, 524, 698, 592, 557, 361, 551, 25, 78, 788, 34, 713, 564, 478, 198, 140, 838, 399, 618, 405, 215, 717, 216, 461, 728, 235, 628, 740, 113, 562, 750, 78, 780, 378, 699, 416, 76, 267, 825, 627, 561, 570, 479, 527, 303, 321, 267, 363, 377, 240, 538, 751, 769, 80, 244, 56, 513, 165, 534, 311, 670, 81, 546, 446, 2, 724, 38, 647, 737, 38, 75, 512, 357, 41, 781, 175, 461, 193, 623, 493, 763, 742, 789, 833, 171, 602, 74, 53, 567, 604, 605, 318, 34, 34, 436, 157, 291, 763, 169, 702, 192, 832, 231, 195, 688, 495, 590, 573, 214, 649, 725, 657, 758, 395, 707, 369, 253, 96, 129, 217, 46, 309, 23, 522, 570, 70, 158, 262, 347, 318, 390, 558, 827, 706, 82, 546, 614, 119, 51, 638, 717, 696, 373, 779, 15, 535, 811, 1, 435, 271, 783, 150, 115, 205, 265, 66, 677, 237, 192, 39, 570, 328, 199, 48, 451, 118, 381, 817, 512, 806, 245, 17}

    {690, 109, 117, 617, 146, 622, 239, 533, 635, 684, 439, 319, 292, 431, 45, 631, 647, 672, 643, 661, 349, 9, 645, 563, 82, 828, 284, 47, 206, 204, 137, 645, 694, 27, 509, 684, 448, 137, 55, 782, 132, 626, 144, 459, 537, 251, 131, 624, 228, 209, 2, 68, 411, 686, 487, 636, 568, 319, 568, 779, 766, 520, 649, 20, 76, 273, 214, 268, 31, 462, 828, 642, 164, 170, 101, 632, 455, 744, 282, 550, 40, 142, 91, 806, 670, 732, 407, 610, 545, 594, 380, 801, 79, 651, 834, 351, 680, 147, 443, 517, 741, 682, 608, 213, 269, 376, 827, 311, 245, 792, 214, 224, 457, 600, 491, 518, 309, 761, 553, 353, 611, 702, 92, 495, 110, 189, 445, 686, 386, 818, 310, 751, 479, 358, 314, 812, 273, 132, 822, 719, 511, 403, 789, 120, 378, 458, 170, 62, 124, 32, 666, 790, 210, 152, 381, 393, 89, 830, 450, 821, 128, 523, 108, 192, 707, 747, 835, 509, 258, 56, 811, 21, 612, 601, 645, 817, 317, 451, 587, 289, 320, 786, 678, 663, 31, 442, 446, 96, 299, 150, 295, 176, 18, 596, 345, 135, 595, 757, 508, 460, 625, 362, 409, 94, 532, 174, 393, 84, 768, 244, 133, 135, 556, 507, 593, 622, 415, 258, 500, 121, 829, 612, 711, 276, 338, 120, 29, 804, 235, 94, 819, 549, 442, 35, 278, 89, 118, 689, 395, 237, 55, 94, 281, 50, 502, 742, 364, 222, 447, 769, 202, 498, 223, 274, 828, 198, 49, 266, 807, 191, 260, 419, 768, 379, 97, 655, 325, 820, 328, 493, 305, 465, 774, 198, 436, 767, 629, 613, 182, 49, 615, 247, 314, 179, 45, 532, 559, 669, 313, 304, 232, 163, 727, 529, 484, 248, 492, 500, 277, 201, 403, 432, 140, 644, 563, 818, 294, 673, 284, 19, 807, 141, 341, 576, 281, 403, 151, 824, 247, 345, 427, 340, 111, 369, 210, 85, 250, 422, 511, 452, 42, 502, 268, 488, 374, 481, 664, 777, 563, 754, 493, 722, 826, 211, 358, 351, 77, 579, 223, 738, 669, 347, 371, 309, 640, 254, 658, 212, 333, 315, 408, 148, 669, 801, 257, 561, 246, 764, 139, 775, 255, 131, 548, 829, 757, 664, 674, 179, 626, 630, 566, 473, 573, 813, 349, 546, 69, 305, 37, 660, 132, 746, 157, 130, 683, 50, 642, 619, 472, 419, 294, 681, 550, 481, 62, 633, 682, 593, 618, 772, 415, 724, 425, 507, 70, 522, 463, 336, 547, 417, 653, 199, 388, 333, 710, 717, 194, 68, 118, 703, 607, 87, 670, 185, 219, 609, 19, 492, 177, 109, 545, 457, 710, 656, 380, 684, 712, 153, 748, 396, 250, 767, 642, 54, 28, 342, 649, 136, 307, 467, 173, 232, 516, 663, 486, 298, 658, 164, 150, 133, 720, 839, 674, 661, 749, 340, 560, 452, 425, 142, 653, 603, 21, 697, 444, 364, 241, 453, 442, 384, 723, 203, 200, 542, 458, 751, 278, 387, 530, 196, 623, 754, 117, 721, 243, 616, 290, 474, 727, 372, 467, 547, 464, 572, 604, 484, 243, 840, 15, 609, 29, 429, 168, 252, 85, 143, 777, 410, 387, 539, 531, 16, 334, 516, 86, 395, 169, 86, 0, 183, 466, 168, 5, 708, 137, 223, 771, 74, 311, 391, 658, 386, 775, 573, 786, 572, 344, 84, 74, 296, 341, 217, 726, 342, 212, 73, 668, 180, 82, 20, 44, 64, 667, 182, 693, 156, 148, 190, 429, 237, 97, 210, 384, 404, 548, 297, 469, 656, 366, 178, 187, 61, 211, 143, 343, 63, 100, 154, 819, 126, 11, 112, 377, 601, 301, 689, 687, 652, 499, 515, 1, 300, 263, 589, 58, 510, 324, 396, 537, 803, 414, 477, 176, 787, 336, 115, 177, 764, 799, 426, 323, 454, 350, 394, 266, 16, 583, 639, 313, 167, 510, 526, 621, 566, 376, 637, 539, 209, 444, 453, 594, 41, 171, 835, 346, 93, 514, 355, 211, 189, 271, 122, 226, 771, 640, 723, 104, 89, 90, 73, 14, 673, 752, 152, 351, 413, 373, 160, 488, 490, 491, 815, 32, 739, 111, 577, 3, 734, 795, 756, 145, 495, 124, 429, 412, 305, 672, 805, 655, 141, 666, 202, 482, 648, 448, 349, 652, 701, 183, 710, 71, 809, 602, 703, 722, 57, 796, 343, 259, 80, 412, 377, 752, 448, 10, 603, 445, 474, 197, 59, 383, 708, 256, 413, 93, 676, 483, 206, 450, 428, 480, 598, 380, 107, 551, 799, 383, 541, 523, 423, 37, 375, 398, 316, 7, 456, 173, 5, 321, 229, 187, 213, 787, 389, 712, 560, 62, 301, 639, 32, 822, 834, 57, 463, 790, 510, 17, 826, 718, 79, 248, 575, 190, 687, 590, 766, 543, 630, 821, 437, 422, 537, 599, 769, 183, 603, 382, 432, 205, 722, 675, 428, 665, 476, 151, 251, 536, 750, 201, 307, 726, 698, 580, 773, 249, 97, 235, 133, 755, 476, 753, 418, 322, 445, 628, 517, 139, 836, 686, 153, 280, 610, 241, 88, 691, 166, 117, 418, 76, 823, 31, 712, 255, 509, 611, 765, 822, 260, 270, 584, 264, 240, 234, 840, 785, 542, 399, 783, 42, 741, 33, 159, 229, 83, 697, 176, 654, 354, 406, 276, 75, 234, 40, 582, 35, 220, 230, 443, 378, 639, 511, 501, 543, 285, 691, 767, 471, 729, 285, 299, 4, 716, 494, 391, 119, 368, 238, 300, 456, 304, 272, 720, 64, 810, 123, 808, 837, 821, 771, 40, 157, 487, 317, 568, 760, 608, 359, 528, 452, 700, 112, 582, 113, 734, 793, 417, 298, 449, 346, 348, 369, 6, 20, 506, 167, 683, 102, 359, 69, 345, 713, 829, 447, 471, 532, 359, 361, 554, 839, 348, 799, 523, 224, 312, 268, 674, 154, 620, 475, 718, 283, 492, 306, 57, 677, 330, 636, 485, 530, 496, 306, 419, 421, 282, 500, 795, 470, 750, 567, 455, 90, 394, 805, 191, 530, 542, 185, 360, 386, 102, 162, 213, 458, 752, 392, 334, 385, 8, 765, 836, 371, 392, 288, 672, 10, 270, 255, 662, 231, 185, 714, 373, 256, 740, 307, 7, 637, 843, 803, 427, 636, 391, 667, 240, 784, 614, 621, 303, 355, 186, 801, 385, 830, 101, 285, 518, 158, 191, 584, 102, 87, 45, 472, 306, 151, 148, 372, 738, 465, 555, 578, 595, 238, 252, 587, 226, 37, 615, 124, 794, 278, 795, 33, 583, 720, 270, 86, 599, 55, 557, 125, 581, 554, 764, 446, 147, 6, 692, 126, 410, 22, 28, 687, 411, 355, 774, 400, 793, 356, 382, 434, 281, 272, 135, 256, 180, 839, 249, 52, 463, 24, 300, 128, 253, 414, 693, 312, 390, 827, 776, 169, 13, 46, 520, 798, 52, 797, 715, 772, 610, 663, 574, 701, 325, 402, 105, 640, 726, 740, 246, 371, 362, 424, 80, 208, 444, 679, 262, 691, 787, 590, 103, 696, 484, 766, 754, 759, 101, 123, 466, 308, 675, 607, 592, 134, 280, 711, 120, 314, 6, 423, 337, 323, 239, 326, 312, 467, 295, 648, 398, 501, 832, 648, 229, 679, 513, 29, 585, 553, 776, 71, 146, 258, 519, 22, 190, 729, 420, 341, 539, 541, 695, 529, 159, 516, 79, 736, 538, 813, 154, 362, 470, 727, 30, 662, 114, 490, 682, 242, 398, 375, 105, 584, 98, 310, 501, 257, 276, 344, 513, 793, 421, 580, 264, 436, 357, 339, 138, 316, 236, 519, 491, 1, 809, 796, 47, 770, 619, 730, 63, 572, 756, 236, 168, 91, 212, 98, 204, 24, 473, 173, 699, 756, 178, 650, 758, 438, 460, 162, 60, 465, 804, 564, 68, 326, 320}

    Returns: {0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1 }

  78. 832

    {624, 697, 132, 510, 178, 381, 731, 333, 785, 601, 478, 33, 249, 819, 528, 550, 610, 212, 793, 643, 683, 796, 517, 26, 280, 817, 265, 367, 573, 278, 221, 281, 140, 358, 396, 288, 293, 488, 740, 575, 231, 303, 177, 431, 655, 628, 414, 621, 233, 365, 670, 739, 205, 653, 781, 214, 279, 627, 137, 470, 501, 19, 377, 743, 37, 457, 412, 806, 164, 13, 227, 65, 180, 74, 829, 649, 321, 449, 607, 289, 730, 304, 761, 478, 450, 364, 5, 302, 63, 381, 332, 517, 597, 724, 498, 682, 120, 173, 238, 495, 541, 316, 421, 225, 558, 419, 118, 215, 256, 585, 314, 321, 477, 273, 641, 205, 229, 483, 554, 810, 462, 619, 136, 398, 352, 192, 264, 295, 211, 616, 89, 376, 656, 424, 296, 702, 80, 660, 401, 734, 293, 602, 237, 511, 276, 64, 402, 245, 803, 284, 188, 652, 98, 277, 634, 170, 55, 826, 19, 799, 756, 580, 404, 286, 313, 655, 217, 807, 502, 439, 455, 313, 400, 450, 330, 127, 265, 707, 456, 589, 48, 640, 0, 543, 416, 658, 593, 26, 761, 366, 267, 201, 102, 403, 512, 356, 275, 280, 413, 89, 457, 548, 686, 200, 390, 481, 520, 341, 467, 180, 830, 260, 523, 201, 0, 754, 509, 471, 831, 690, 789, 149, 252, 559, 25, 256, 401, 293, 738, 36, 648, 437, 405, 303, 499, 589, 237, 605, 503, 669, 678, 798, 747, 276, 504, 44, 279, 411, 305, 624, 533, 355, 324, 831, 742, 147, 311, 77, 74, 93, 81, 244, 652, 757, 536, 239, 43, 339, 663, 712, 199, 374, 97, 442, 1, 816, 461, 542, 299, 790, 340, 729, 732, 588, 717, 21, 327, 312, 268, 740, 646, 432, 595, 416, 708, 180, 714, 643, 774, 593, 221, 195, 379, 520, 713, 780, 54, 771, 637, 200, 665, 781, 533, 351, 734, 76, 409, 723, 736, 399, 418, 582, 749, 574, 200, 445, 628, 309, 96, 784, 206, 482, 239, 304, 600, 530, 423, 441, 657, 221, 576, 389, 238, 346, 202, 711, 294, 669, 359, 153, 166, 352, 22, 753, 317, 631, 135, 246, 768, 305, 53, 680, 706, 150, 493, 500, 652, 625, 393, 326, 10, 694, 817, 706, 354, 21, 463, 549, 513, 96, 702, 42, 267, 346, 111, 678, 578, 349, 171, 479, 586, 753, 256, 573, 673, 514, 747, 588, 353, 149, 316, 269, 231, 376, 174, 116, 116, 607, 216, 818, 138, 821, 548, 359, 242, 76, 619, 292, 273, 97, 287, 811, 327, 301, 827, 766, 673, 747, 193, 123, 170, 541, 680, 745, 483, 138, 107, 828, 505, 77, 527, 452, 150, 682, 257, 8, 827, 245, 84, 363, 398, 629, 159, 63, 775, 152, 243, 707, 364, 52, 386, 68, 17, 27, 802, 203, 443, 248, 213, 263, 35, 138, 241, 719, 252, 543, 487, 552, 526, 121, 131, 728, 421, 647, 370, 85, 733, 584, 750, 337, 314, 508, 202, 125, 770, 814, 342, 404, 343, 731, 374, 285, 317, 407, 512, 25, 394, 823, 509, 387, 452, 749, 177, 127, 670, 451, 617, 47, 608, 752, 22, 405, 209, 649, 167, 725, 258, 142, 219, 46, 597, 468, 824, 7, 528, 768, 623, 571, 454, 572, 78, 115, 648, 233, 92, 683, 243, 588, 639, 503, 712, 264, 269, 193, 632, 529, 635, 245, 207, 580, 9, 381, 266, 549, 473, 754, 358, 266, 660, 305, 428, 306, 761, 644, 112, 539, 831, 48, 43, 682, 113, 183, 674, 171, 99, 439, 764, 437, 605, 590, 722, 450, 402, 602, 165, 812, 519, 521, 814, 88, 301, 825, 578, 428, 419, 433, 40, 484, 251, 317, 657, 105, 42, 45, 212, 688, 532, 577, 609, 113, 296, 166, 130, 742, 397, 51, 204, 157, 800, 262, 53, 746, 620, 700, 454, 50, 472, 499, 765, 362, 370, 374, 615, 103, 128, 211, 766, 748, 612, 199, 119, 277, 535, 292, 95, 208, 710, 708, 644, 750, 803, 229, 385, 241, 234, 462, 100, 577, 47, 782, 253, 726, 142, 197, 750, 547, 350, 335, 762, 92, 592, 351, 326, 58, 226, 364, 827, 567, 86, 481, 320, 162, 553, 649, 824, 227, 198, 178, 687, 95, 675, 721, 212, 435, 709, 101, 183, 471, 744, 98, 71, 189, 570, 397, 55, 796, 384, 656, 534, 524, 541, 235, 198, 480, 18, 396, 158, 828, 191, 1, 34, 744, 423, 542, 190, 297, 674, 182, 666, 653, 625, 698, 340, 447, 794, 520, 643, 484, 727, 555, 385, 492, 691, 464, 355, 637, 288, 38, 535, 34, 140, 163, 452, 500, 419, 181, 603, 431, 431, 467, 718, 696, 718, 570, 81, 265, 279, 365, 698, 140, 408, 590, 263, 119, 84, 745, 694, 329, 369, 168, 395, 154, 620, 687, 680, 184, 90, 504, 167, 801, 261, 319, 159, 561, 633, 286, 772, 414, 124, 757, 321, 371, 51, 733, 671, 586, 301, 675, 638, 644, 469, 121, 746, 65, 418, 551, 294, 725, 328, 628, 92, 687, 458, 467, 39, 805, 457, 605, 28, 342, 217, 513, 698, 70, 461, 585, 161, 393, 813, 816, 408, 66, 231, 552, 793, 460, 645, 187, 277, 394, 230, 714, 812, 82, 310, 812, 99, 598, 177, 664, 646, 521, 550, 763, 267, 322, 782, 218, 172, 192, 155, 251, 36, 323, 587, 729, 112, 294, 455, 599, 546, 309, 725, 756, 260, 629, 6, 436, 161, 721, 275, 16, 525, 564, 751, 804, 704, 608, 206, 826, 739, 47, 151, 345, 250, 578, 191, 433, 765, 615, 770, 264, 403, 31, 623, 783, 30, 574, 758, 609, 16, 91, 586, 830, 288, 756, 799, 218, 49, 28, 246, 438, 521, 435, 392, 117, 654, 20, 705, 727, 326, 824, 324, 224, 0, 439, 554, 214, 126, 595, 27, 415, 447, 203, 545, 614, 174, 806, 669, 768, 600, 101, 184, 229, 806, 175, 112, 102, 489, 800, 149, 539, 624, 263, 110, 283, 595, 81, 328, 515, 370, 494, 517, 331, 724, 129, 537, 173, 505, 510, 287, 654, 485, 394, 554, 2, 33, 346, 171, 386, 732, 137, 18, 259, 769, 30, 734, 770, 692, 341, 759, 289, 712, 383, 203, 695, 716, 441, 675, 12, 523, 205, 713, 802, 164, 776, 271, 477, 57, 389, 504, 304, 415, 225, 241, 345, 313, 767, 795, 444, 574, 86, 566, 631, 16, 779, 727, 531, 519, 817, 356, 357, 84, 805, 210, 345, 367, 6, 668, 416, 164, 559, 804, 11, 810, 234, 426, 540, 481, 178, 65, 186, 590, 237, 68, 785, 340, 743, 395, 157, 161, 343, 522, 22, 571, 519, 362, 789, 266, 186, 353, 286, 344, 667, 146, 89, 168, 336, 661, 791, 259, 308, 548, 695, 11, 800, 318, 629, 828, 528, 309, 609, 651, 671, 188, 74, 311, 253, 638, 776, 511, 127, 798, 485, 640, 153, 363, 347, 276, 104, 28, 254, 740, 325, 62, 128, 575, 499, 566, 107, 153, 602, 226, 802, 157, 66, 227, 11, 493, 708, 558, 546, 626, 530, 139, 147, 169, 472, 428, 557, 270, 147, 792, 627, 402, 13, 620, 534, 64, 132, 20, 755, 118, 115, 302, 102, 818, 697, 284, 706, 633, 409, 27, 746, 741, 329, 626, 559, 334, 325, 176, 568, 278, 14, 432, 568, 505, 216, 182, 557, 700, 670, 683, 825, 269, 119, 339, 738, 767, 79, 613, 719, 641, 611, 66, 749, 604, 560, 148, 635, 90, 129, 223, 357, 322, 316, 560, 160, 39, 420, 762, 677, 668, 395, 459, 407, 436, 371}

    {123, 117, 392, 522, 523, 116, 173, 490, 654, 193, 524, 108, 156, 633, 387, 619, 474, 496, 809, 530, 209, 579, 43, 2, 106, 331, 711, 62, 15, 333, 295, 490, 148, 545, 105, 764, 243, 465, 599, 728, 117, 562, 334, 456, 70, 134, 778, 150, 525, 621, 598, 606, 105, 106, 585, 544, 460, 14, 783, 133, 141, 618, 729, 223, 330, 563, 673, 151, 568, 71, 302, 182, 380, 388, 581, 234, 536, 73, 486, 634, 75, 82, 109, 207, 471, 487, 599, 427, 148, 49, 199, 755, 639, 67, 315, 710, 486, 645, 354, 543, 660, 170, 526, 23, 341, 551, 480, 516, 451, 285, 393, 531, 32, 787, 204, 107, 821, 502, 300, 611, 772, 46, 779, 691, 626, 714, 553, 446, 299, 737, 3, 561, 722, 59, 206, 591, 822, 375, 10, 804, 704, 223, 493, 348, 651, 68, 376, 32, 79, 808, 198, 684, 816, 730, 511, 51, 459, 490, 87, 15, 156, 135, 224, 688, 213, 61, 183, 650, 637, 507, 719, 328, 307, 823, 423, 120, 464, 33, 786, 546, 693, 697, 412, 763, 325, 101, 736, 29, 418, 684, 383, 444, 13, 300, 151, 78, 434, 538, 606, 615, 468, 575, 271, 108, 491, 462, 88, 32, 677, 204, 398, 377, 23, 209, 564, 219, 783, 290, 469, 363, 613, 527, 259, 202, 335, 765, 373, 413, 368, 338, 786, 400, 492, 617, 146, 185, 358, 126, 672, 658, 62, 466, 176, 9, 769, 86, 557, 252, 529, 759, 75, 57, 536, 330, 787, 826, 399, 502, 753, 144, 779, 676, 477, 547, 194, 349, 679, 438, 738, 312, 667, 310, 664, 422, 429, 406, 663, 497, 291, 236, 197, 417, 45, 184, 3, 239, 165, 216, 378, 49, 693, 93, 386, 815, 818, 641, 773, 220, 61, 306, 78, 141, 98, 369, 531, 433, 365, 24, 483, 707, 475, 565, 722, 165, 495, 254, 518, 274, 334, 73, 348, 658, 443, 130, 181, 254, 40, 774, 819, 825, 703, 329, 677, 668, 134, 741, 37, 373, 73, 314, 87, 154, 516, 208, 814, 53, 809, 582, 274, 830, 529, 375, 449, 114, 429, 371, 144, 310, 401, 166, 160, 640, 397, 54, 475, 715, 172, 67, 551, 320, 581, 790, 604, 422, 623, 701, 538, 789, 784, 618, 737, 451, 121, 662, 272, 821, 219, 701, 248, 77, 421, 388, 242, 726, 564, 829, 80, 248, 338, 631, 665, 360, 580, 535, 282, 298, 476, 596, 438, 240, 501, 692, 354, 792, 465, 300, 748, 689, 642, 603, 367, 448, 596, 737, 550, 811, 726, 357, 791, 436, 820, 257, 135, 445, 699, 597, 453, 297, 576, 297, 506, 323, 650, 463, 41, 292, 748, 751, 612, 169, 583, 795, 190, 647, 642, 109, 57, 813, 100, 803, 488, 213, 653, 69, 318, 7, 272, 681, 61, 236, 378, 437, 424, 584, 247, 515, 260, 146, 83, 685, 478, 238, 83, 405, 755, 496, 187, 222, 540, 762, 410, 410, 307, 440, 262, 195, 622, 476, 417, 553, 342, 565, 1, 8, 792, 58, 610, 290, 424, 228, 616, 111, 155, 486, 39, 315, 3, 118, 650, 659, 399, 636, 350, 542, 441, 676, 196, 614, 110, 430, 400, 563, 648, 815, 791, 514, 728, 604, 160, 296, 410, 242, 185, 723, 522, 210, 606, 681, 307, 99, 139, 142, 458, 819, 506, 630, 735, 558, 131, 93, 672, 298, 188, 659, 767, 780, 426, 544, 41, 630, 175, 36, 152, 228, 4, 771, 37, 250, 703, 44, 6, 111, 474, 336, 9, 20, 52, 141, 567, 473, 579, 58, 427, 656, 362, 435, 642, 174, 501, 715, 616, 225, 162, 285, 415, 18, 422, 2, 711, 319, 311, 453, 498, 447, 472, 351, 60, 339, 811, 145, 703, 630, 255, 337, 134, 537, 380, 613, 186, 466, 464, 191, 125, 797, 382, 159, 496, 700, 42, 596, 332, 592, 717, 569, 8, 82, 448, 430, 788, 379, 705, 796, 268, 128, 247, 662, 44, 240, 664, 137, 764, 692, 769, 584, 823, 569, 417, 72, 480, 176, 224, 799, 69, 97, 509, 442, 201, 497, 787, 425, 622, 158, 103, 497, 760, 343, 46, 145, 710, 103, 322, 388, 645, 335, 456, 561, 347, 122, 280, 255, 635, 476, 85, 361, 453, 420, 443, 25, 482, 406, 617, 735, 24, 40, 12, 743, 440, 696, 275, 192, 41, 312, 544, 720, 780, 709, 688, 257, 338, 319, 324, 556, 45, 261, 50, 479, 610, 396, 67, 776, 169, 625, 489, 732, 143, 500, 741, 38, 308, 513, 372, 63, 491, 382, 413, 699, 52, 29, 427, 777, 492, 661, 801, 671, 356, 156, 197, 131, 207, 21, 114, 579, 733, 90, 136, 454, 611, 807, 666, 408, 647, 758, 124, 38, 79, 76, 425, 473, 715, 563, 10, 795, 716, 463, 470, 406, 384, 385, 514, 323, 290, 429, 494, 268, 96, 158, 4, 495, 790, 600, 34, 632, 665, 114, 88, 526, 702, 735, 434, 387, 94, 56, 469, 532, 109, 446, 793, 403, 70, 757, 560, 538, 347, 349, 194, 583, 168, 113, 512, 246, 272, 91, 690, 143, 368, 175, 489, 295, 249, 379, 636, 87, 432, 344, 699, 179, 391, 718, 696, 474, 336, 524, 163, 291, 622, 594, 651, 194, 736, 228, 48, 12, 430, 778, 56, 270, 80, 29, 366, 773, 809, 382, 353, 407, 360, 487, 226, 155, 59, 289, 185, 794, 445, 813, 100, 258, 567, 663, 808, 404, 444, 54, 274, 15, 684, 778, 355, 621, 572, 211, 704, 720, 518, 258, 646, 110, 94, 760, 465, 562, 798, 391, 244, 777, 215, 59, 411, 95, 556, 766, 608, 555, 83, 308, 775, 129, 412, 705, 298, 359, 592, 577, 459, 318, 810, 133, 661, 72, 484, 491, 270, 786, 598, 721, 573, 210, 244, 587, 145, 498, 614, 508, 591, 50, 820, 391, 55, 409, 130, 581, 442, 582, 681, 612, 525, 565, 772, 717, 808, 539, 632, 440, 189, 510, 754, 232, 115, 120, 794, 414, 667, 589, 679, 571, 690, 181, 475, 69, 686, 425, 685, 361, 250, 674, 745, 218, 249, 695, 230, 315, 591, 222, 760, 411, 372, 230, 763, 466, 678, 366, 123, 5, 235, 56, 190, 662, 24, 829, 189, 282, 122, 627, 31, 361, 232, 17, 253, 751, 739, 17, 372, 278, 446, 784, 455, 638, 655, 758, 389, 534, 255, 187, 348, 506, 807, 485, 805, 777, 273, 383, 508, 822, 788, 390, 507, 196, 685, 126, 291, 7, 283, 195, 515, 91, 179, 261, 820, 222, 569, 139, 709, 716, 744, 537, 774, 163, 603, 730, 167, 549, 284, 377, 236, 657, 337, 775, 327, 752, 587, 771, 306, 152, 797, 332, 797, 71, 468, 30, 594, 601, 247, 691, 215, 208, 262, 384, 594, 154, 479, 601, 64, 448, 672, 369, 458, 162, 449, 686, 196, 106, 566, 607, 773, 136, 144, 583, 666, 360, 503, 240, 723, 676, 5, 815, 287, 689, 516, 344, 634, 14, 390, 533, 4, 785, 752, 19, 378, 555, 545, 104, 172, 494, 420, 220, 122, 299, 724, 85, 781, 392, 320, 333, 518, 532, 35, 303, 570, 434, 143, 460, 507, 679, 720, 488, 35, 562, 104, 470, 368, 547, 618, 233, 731, 94, 220, 556, 375, 639, 593, 689, 822, 232, 281, 60, 133, 283, 271, 235, 60, 179, 552, 713, 350, 23, 214, 26, 72, 461, 482, 788, 659, 540, 380, 132, 576, 217, 331, 694, 636, 693, 125, 108, 75, 782, 572, 426, 124, 251, 31, 352, 742, 701, 281, 373, 282, 801, 759, 527}

    Returns: {1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1 }

  79. 980

    {84, 657, 641, 609, 652, 41, 939, 325, 59, 591, 943, 14, 171, 28, 770, 606, 927, 57, 564, 917, 212, 927, 60, 572, 290, 874, 533, 814, 655, 195, 849, 543, 286, 336, 731, 839, 70, 626, 937, 527, 895, 919, 778, 597, 880, 205, 429, 538, 271, 183, 589, 934, 94, 956, 699, 153, 924, 275, 427, 578, 229, 978, 335, 20, 407, 919, 879, 406, 110, 132, 825, 88, 15, 250, 522, 172, 671, 669, 675, 892, 817, 214, 861, 90, 620, 51, 566, 681, 571, 477, 918, 274, 167, 779, 426, 587, 405, 148, 684, 698, 356, 95, 104, 462, 439, 59, 356, 384, 451, 72, 358, 226, 119, 621, 15, 918, 758, 881, 480, 758, 562, 916, 672, 334, 868, 648, 437, 232, 661, 832, 379, 278, 637, 808, 357, 347, 469, 880, 399, 781, 858, 154, 788, 587, 436, 711, 471, 179, 595, 112, 602, 924, 787, 875, 918, 727, 478, 248, 34, 207, 699, 145, 78, 792, 21, 466, 831, 168, 395, 657, 372, 937, 869, 839, 222, 432, 952, 359, 39, 700, 189, 166, 310, 33, 84, 282, 221, 739, 45, 95, 509, 41, 21, 613, 215, 649, 644, 958, 136, 750, 537, 876, 600, 518, 658, 71, 309, 966, 922, 495, 970, 72, 202, 791, 184, 635, 487, 893, 717, 893, 751, 655, 183, 121, 708, 633, 47, 862, 247, 824, 471, 814, 938, 899, 665, 432, 117, 337, 365, 257, 3, 353, 162, 696, 577, 35, 356, 779, 842, 731, 807, 531, 629, 32, 61, 598, 248, 883, 947, 35, 226, 806, 633, 755, 453, 634, 1, 860, 125, 962, 943, 124, 110, 768, 274, 127, 816, 913, 507, 534, 972, 420, 389, 718, 685, 517, 299, 460, 759, 931, 712, 867, 543, 257, 830, 496, 594, 908, 952, 726, 693, 916, 613, 525, 750, 6, 510, 296, 616, 0, 835, 881, 58, 258, 43, 811, 99, 833, 220, 189, 735, 818, 198, 568, 668, 613, 734, 969, 517, 741, 136, 478, 419, 935, 777, 28, 250, 557, 668, 114, 665, 576, 574, 890, 585, 396, 292, 710, 772, 659, 360, 618, 116, 796, 8, 187, 775, 704, 973, 949, 117, 61, 970, 734, 592, 245, 690, 424, 813, 826, 730, 935, 363, 385, 153, 494, 93, 673, 48, 492, 496, 380, 419, 607, 45, 400, 905, 447, 707, 897, 795, 886, 694, 572, 375, 40, 786, 676, 456, 209, 719, 447, 675, 210, 310, 18, 152, 238, 835, 846, 483, 381, 662, 398, 874, 798, 505, 836, 194, 914, 94, 378, 268, 383, 263, 537, 885, 579, 955, 396, 979, 799, 803, 241, 327, 873, 813, 973, 93, 593, 730, 314, 5, 786, 345, 324, 960, 430, 514, 311, 594, 83, 726, 967, 380, 73, 821, 722, 406, 925, 697, 445, 146, 903, 139, 22, 117, 979, 662, 785, 799, 231, 22, 526, 632, 408, 76, 145, 521, 198, 387, 621, 906, 880, 69, 477, 247, 851, 495, 666, 600, 698, 628, 529, 32, 522, 251, 264, 558, 207, 158, 465, 331, 476, 933, 126, 571, 963, 521, 221, 324, 515, 320, 856, 719, 747, 234, 53, 788, 310, 313, 301, 140, 945, 292, 321, 71, 507, 246, 378, 500, 43, 625, 721, 679, 784, 395, 278, 470, 328, 420, 174, 502, 713, 560, 891, 511, 336, 313, 390, 108, 372, 888, 940, 505, 344, 973, 753, 430, 73, 800, 81, 914, 344, 764, 558, 504, 876, 111, 137, 322, 776, 290, 574, 330, 151, 742, 109, 335, 19, 604, 353, 53, 666, 91, 63, 397, 923, 161, 281, 323, 440, 449, 269, 972, 676, 477, 383, 436, 873, 836, 706, 810, 896, 834, 737, 138, 960, 276, 630, 105, 222, 397, 654, 901, 141, 740, 35, 716, 361, 70, 621, 482, 213, 934, 604, 106, 707, 695, 482, 635, 489, 945, 961, 524, 82, 909, 641, 548, 459, 499, 312, 823, 691, 607, 473, 908, 558, 169, 663, 628, 466, 77, 665, 37, 535, 727, 668, 856, 849, 552, 978, 270, 689, 178, 381, 624, 744, 654, 887, 840, 197, 456, 277, 530, 377, 305, 751, 935, 315, 889, 389, 45, 177, 237, 363, 415, 513, 583, 425, 131, 2, 472, 536, 692, 561, 180, 945, 655, 283, 225, 149, 652, 395, 867, 693, 823, 179, 979, 50, 871, 217, 948, 977, 320, 208, 624, 651, 526, 892, 499, 291, 564, 85, 901, 706, 147, 456, 701, 228, 25, 870, 81, 590, 812, 936, 583, 831, 333, 162, 725, 253, 548, 639, 340, 204, 605, 974, 154, 3, 116, 767, 580, 84, 869, 859, 609, 27, 767, 373, 387, 223, 266, 324, 627, 588, 362, 58, 520, 932, 588, 388, 246, 709, 344, 443, 247, 254, 547, 833, 111, 514, 578, 555, 549, 508, 843, 775, 304, 597, 176, 636, 36, 550, 97, 567, 169, 902, 691, 398, 433, 192, 734, 242, 74, 595, 431, 53, 390, 942, 372, 164, 605, 89, 312, 527, 251, 463, 754, 390, 875, 232, 426, 13, 528, 115, 63, 360, 6, 118, 804, 513, 696, 650, 871, 469, 561, 678, 670, 111, 203, 458, 617, 810, 659, 242, 784, 145, 676, 904, 656, 840, 305, 373, 952, 471, 553, 401, 272, 955, 966, 873, 415, 256, 327, 916, 620, 801, 470, 229, 481, 273, 233, 407, 82, 164, 541, 623, 433, 385, 608, 332, 381, 687, 965, 740, 454, 442, 905, 556, 109, 139, 546, 515, 610, 32, 461, 23, 618, 89, 572, 765, 738, 90, 635, 506, 931, 629, 368, 337, 130, 292, 453, 492, 208, 768, 138, 341, 147, 933, 230, 17, 876, 444, 559, 778, 768, 467, 434, 87, 536, 966, 76, 653, 307, 98, 346, 848, 225, 829, 276, 710, 194, 283, 468, 204, 295, 697, 18, 308, 902, 185, 640, 529, 881, 498, 327, 672, 886, 294, 510, 124, 38, 24, 532, 410, 617, 257, 65, 895, 188, 269, 19, 957, 142, 555, 184, 846, 341, 100, 886, 42, 46, 633, 297, 844, 235, 118, 420, 527, 406, 598, 948, 904, 714, 396, 204, 205, 666, 507, 898, 885, 836, 400, 54, 921, 472, 124, 805, 328, 838, 766, 51, 307, 365, 347, 458, 681, 282, 287, 799, 261, 770, 452, 796, 704, 451, 497, 877, 765, 970, 658, 889, 754, 630, 747, 467, 179, 191, 712, 612, 727, 492, 869, 866, 490, 6, 174, 64, 479, 733, 159, 393, 830, 255, 200, 102, 595, 840, 774, 71, 852, 9, 702, 368, 366, 669, 454, 78, 911, 199, 763, 553, 152, 568, 899, 733, 431, 81, 119, 614, 671, 798, 192, 670, 584, 773, 832, 14, 434, 949, 977, 250, 379, 643, 80, 573, 304, 435, 835, 366, 822, 769, 85, 929, 694, 240, 332, 460, 842, 432, 446, 110, 841, 445, 439, 328, 887, 342, 279, 353, 643, 234, 376, 350, 731, 570, 291, 113, 367, 917, 308, 201, 43, 834, 525, 467, 778, 536, 282, 185, 659, 975, 838, 490, 846, 236, 325, 841, 412, 953, 199, 462, 7, 364, 230, 944, 929, 57, 660, 722, 97, 870, 100, 596, 520, 744, 780, 631, 25, 270, 416, 648, 412, 584, 614, 36, 803, 577, 167, 857, 259, 750, 745, 318, 877, 341, 922, 59, 52, 683, 218, 723, 172, 195, 821, 779, 9, 431, 725, 80, 914, 911, 793, 304, 742, 648, 663, 888, 55, 11, 187, 256, 95, 369, 80, 943, 627, 210, 812, 369, 39, 698, 466, 315, 815, 951, 303, 232, 708, 667, 929, 18, 264, 593, 331, 187, 434, 690, 272, 912, 478, 122, 563, 48, 210, 971, 151, 506, 850, 228, 335, 503, 915, 295, 74, 269, 735, 338, 399, 423, 464, 955, 912, 7, 673, 862, 884, 763, 330, 773, 575, 286, 185, 790, 354, 155, 172, 566, 657, 561, 926, 483, 287, 457, 584, 849, 931, 156, 885, 521, 523, 131, 248, 636, 198, 192, 228, 794, 235, 123, 941, 308, 493, 818, 630, 468, 241, 567, 453, 404, 164, 125, 446, 135, 845, 14, 360, 661, 297, 150, 254, 376, 960, 2, 820, 137, 539, 305, 743, 385, 551, 459, 21, 214, 832, 827, 417, 11, 312, 913, 36, 757, 833, 921, 603, 278, 807, 718, 927, 519, 801, 806, 508, 939, 82, 351, 261, 311, 925, 166, 936, 908, 449, 229, 72, 580, 543, 582, 362, 238, 266, 646, 585, 83, 405, 872, 797, 919, 565, 69, 861, 160, 801, 0, 298, 323, 944, 758, 498, 136, 408, 170, 494, 971, 817, 680, 815, 470, 872, 567, 539, 8, 168, 105, 786, 120, 906, 780, 512, 704, 511, 463, 188, 46, 280, 554, 898, 188, 565, 156, 139, 48, 322, 544, 223, 693, 490, 947, 715, 323, 377, 888, 783, 440, 493, 493, 689, 932, 548, 83, 602, 280, 184, 154, 737, 256, 629, 771, 658, 271, 359, 922, 215, 754, 545, 355, 826, 858, 275, 555, 29, 287, 130, 397, 889, 712, 484, 830, 245}

    {739, 685, 216, 352, 651, 161, 647, 123, 149, 460, 10, 856, 79, 260, 625, 30, 753, 884, 685, 319, 405, 641, 570, 549, 717, 364, 92, 112, 249, 893, 782, 261, 338, 487, 140, 351, 560, 645, 115, 797, 924, 368, 259, 534, 967, 615, 719, 258, 128, 524, 134, 134, 686, 809, 752, 464, 940, 501, 299, 760, 195, 62, 227, 865, 296, 645, 518, 498, 171, 928, 26, 568, 859, 729, 590, 1, 443, 954, 279, 910, 435, 255, 646, 347, 101, 5, 489, 709, 644, 359, 852, 197, 695, 722, 87, 593, 612, 762, 486, 201, 489, 624, 421, 401, 865, 503, 969, 374, 705, 242, 193, 642, 214, 400, 638, 156, 233, 600, 729, 843, 971, 254, 249, 441, 900, 954, 898, 338, 534, 199, 608, 339, 165, 285, 241, 448, 386, 857, 765, 838, 582, 925, 938, 101, 329, 159, 273, 583, 738, 438, 200, 702, 956, 374, 181, 263, 240, 252, 826, 497, 619, 574, 392, 57, 737, 23, 806, 469, 218, 94, 827, 239, 157, 541, 910, 113, 502, 903, 650, 760, 116, 560, 130, 771, 0, 37, 759, 746, 68, 582, 68, 66, 921, 34, 5, 169, 488, 348, 721, 580, 569, 62, 723, 230, 345, 265, 103, 611, 636, 891, 544, 326, 791, 147, 542, 865, 252, 299, 882, 907, 894, 965, 974, 129, 355, 851, 496, 224, 206, 882, 404, 723, 875, 86, 142, 767, 713, 370, 586, 736, 289, 512, 165, 511, 964, 825, 890, 785, 499, 632, 730, 286, 425, 766, 877, 49, 487, 317, 113, 54, 314, 253, 700, 189, 290, 251, 602, 244, 180, 340, 823, 50, 79, 435, 224, 408, 103, 127, 170, 28, 763, 787, 859, 109, 148, 519, 736, 203, 391, 207, 437, 749, 102, 725, 244, 180, 132, 379, 509, 743, 33, 556, 354, 642, 475, 322, 599, 975, 841, 288, 317, 651, 923, 803, 98, 168, 847, 627, 807, 107, 903, 177, 552, 755, 609, 860, 146, 413, 864, 615, 913, 340, 410, 24, 197, 597, 366, 387, 610, 302, 162, 349, 454, 566, 459, 457, 688, 260, 664, 476, 268, 854, 107, 910, 953, 743, 570, 40, 606, 958, 696, 301, 766, 562, 900, 346, 626, 788, 364, 354, 968, 906, 828, 296, 358, 795, 483, 326, 377, 125, 769, 783, 772, 756, 509, 976, 455, 294, 616, 10, 578, 270, 333, 963, 239, 523, 540, 934, 612, 792, 610, 662, 102, 421, 87, 872, 182, 711, 315, 631, 144, 895, 716, 741, 108, 647, 495, 55, 932, 554, 554, 386, 513, 107, 516, 440, 669, 732, 333, 646, 792, 319, 781, 307, 464, 473, 664, 625, 144, 101, 220, 525, 433, 742, 863, 115, 598, 285, 857, 761, 531, 654, 805, 514, 800, 182, 761, 601, 318, 732, 533, 54, 837, 411, 537, 714, 141, 556, 946, 601, 917, 972, 52, 781, 167, 491, 414, 211, 804, 912, 283, 976, 819, 473, 394, 735, 446, 744, 382, 237, 438, 316, 855, 724, 378, 848, 677, 303, 745, 510, 389, 581, 552, 488, 409, 411, 476, 829, 660, 300, 375, 160, 309, 616, 352, 452, 596, 56, 384, 445, 19, 99, 227, 259, 909, 480, 346, 577, 67, 293, 485, 617, 30, 887, 183, 724, 892, 313, 874, 837, 663, 367, 649, 428, 41, 505, 141, 252, 33, 870, 186, 541, 264, 196, 382, 447, 2, 216, 817, 920, 959, 969, 686, 946, 348, 29, 422, 388, 178, 27, 22, 133, 824, 321, 75, 157, 957, 619, 140, 771, 103, 355, 515, 947, 491, 679, 524, 90, 166, 740, 930, 176, 757, 772, 173, 684, 941, 227, 114, 752, 119, 481, 954, 157, 97, 589, 137, 49, 375, 879, 144, 678, 225, 949, 517, 428, 559, 451, 682, 474, 66, 122, 131, 75, 706, 320, 134, 530, 780, 402, 439, 890, 258, 92, 44, 942, 645, 592, 138, 334, 501, 391, 243, 233, 303, 752, 608, 88, 220, 249, 691, 553, 789, 637, 158, 401, 516, 547, 175, 834, 485, 388, 12, 374, 964, 702, 959, 795, 844, 127, 64, 349, 504, 417, 175, 533, 3, 638, 819, 883, 845, 37, 710, 118, 302, 692, 634, 443, 777, 611, 951, 30, 623, 948, 206, 683, 69, 538, 520, 557, 44, 542, 438, 622, 861, 878, 10, 224, 209, 850, 592, 1, 448, 544, 816, 288, 783, 814, 674, 622, 822, 854, 373, 246, 864, 684, 202, 212, 474, 171, 863, 674, 413, 450, 516, 422, 274, 96, 343, 709, 907, 831, 27, 194, 74, 575, 748, 63, 579, 728, 755, 329, 653, 746, 896, 376, 429, 216, 237, 148, 267, 690, 810, 235, 968, 821, 56, 656, 787, 639, 761, 62, 774, 463, 350, 76, 596, 776, 352, 143, 205, 774, 851, 618, 319, 186, 855, 300, 417, 260, 569, 535, 585, 611, 523, 847, 502, 152, 843, 915, 687, 234, 479, 484, 357, 455, 623, 120, 418, 894, 78, 506, 272, 120, 60, 920, 415, 165, 933, 29, 424, 132, 825, 262, 13, 276, 44, 671, 824, 575, 409, 551, 428, 718, 868, 811, 161, 796, 793, 741, 591, 571, 98, 13, 458, 773, 550, 715, 106, 153, 660, 720, 728, 686, 649, 342, 11, 475, 748, 343, 461, 699, 677, 159, 904, 31, 79, 422, 813, 907, 486, 404, 855, 557, 894, 559, 392, 847, 703, 975, 284, 853, 940, 51, 809, 866, 480, 631, 738, 31, 650, 176, 950, 362, 412, 293, 550, 732, 789, 56, 829, 444, 455, 448, 20, 853, 599, 724, 909, 55, 680, 223, 714, 47, 643, 808, 900, 89, 811, 864, 879, 626, 978, 399, 853, 105, 430, 309, 673, 26, 133, 529, 268, 475, 357, 4, 265, 450, 974, 614, 416, 68, 289, 267, 163, 213, 775, 961, 682, 263, 182, 384, 736, 425, 112, 449, 358, 956, 12, 716, 104, 393, 726, 819, 911, 664, 4, 427, 86, 196, 733, 508, 339, 540, 681, 789, 149, 442, 160, 465, 393, 403, 642, 494, 519, 958, 416, 75, 809, 73, 546, 191, 133, 193, 163, 867, 330, 815, 329, 398, 603, 262, 370, 647, 705, 106, 190, 850, 798, 280, 526, 293, 545, 16, 708, 923, 488, 637, 797, 926, 549, 675, 606, 421, 222, 581, 426, 104, 190, 243, 298, 25, 951, 804, 345, 599, 816, 576, 49, 739, 212, 812, 769, 151, 332, 215, 52, 639, 720, 562, 42, 238, 12, 275, 316, 93, 802, 905, 944, 85, 245, 181, 827, 196, 688, 715, 155, 211, 351, 678, 371, 231, 450, 667, 745, 325, 403, 190, 46, 201, 963, 414, 939, 573, 785, 759, 361, 844, 563, 474, 371, 314, 321, 284, 953, 202, 206, 897, 285, 883, 211, 842, 394, 67, 65, 343, 728, 281, 794, 501, 302, 573, 620, 563, 680, 20, 146, 91, 930, 802, 365, 288, 363, 15, 682, 820, 391, 695, 114, 503, 748, 203, 255, 4, 40, 226, 604, 306, 776, 158, 424, 644, 407, 674, 687, 896, 587, 65, 175, 429, 208, 764, 219, 531, 186, 634, 720, 123, 209, 58, 670, 782, 418, 782, 692, 672, 700, 291, 297, 67, 16, 937, 155, 547, 300, 667, 126, 538, 915, 820, 967, 306, 535, 88, 756, 99, 129, 653, 367, 163, 66, 622, 652, 217, 427, 794, 793, 392, 61, 640, 791, 564, 790, 601, 277, 540, 266, 965, 757, 316, 23, 77, 711, 800, 173, 135, 897, 143, 497, 382, 930, 273, 337, 848, 317, 178, 402, 950, 7, 512, 902, 899, 294, 546, 236, 500, 38, 484, 688, 884, 331, 962, 976, 707, 697, 747, 822, 267, 866, 8, 532, 383, 174, 615, 60, 962, 108, 441, 594, 243, 569, 193, 694, 92, 928, 701, 576, 605, 173, 177, 326, 818, 928, 689, 532, 34, 262, 218, 236, 762, 70, 128, 200, 271, 749, 295, 465, 452, 181, 528, 656, 581, 845, 336, 462, 961, 828, 790, 588, 239, 86, 441, 591, 777, 213, 518, 717, 16, 472, 468, 39, 281, 394, 828, 143, 402, 530, 551, 277, 442, 878, 31, 638, 191, 770, 632, 753, 339, 240, 38, 942, 414, 941, 481, 370, 348, 839, 661, 579, 221, 491, 334, 756, 135, 589, 437, 150, 968, 619, 871, 901, 504, 96, 419, 805, 751, 9, 802, 542, 590, 683, 677, 284, 318, 640, 701, 219, 279, 380, 121, 253, 528, 749, 411, 371, 231, 350, 920, 17, 784, 47, 457, 121, 936, 746, 977, 342, 64, 628, 950, 91, 721, 964, 760, 479, 808, 705, 170, 410, 946, 301, 150, 50, 386, 306, 957, 129, 24, 854, 586, 100, 713, 142, 403, 413, 837, 762, 444, 42, 461, 852, 423, 500, 882, 298, 17, 539, 545, 436, 729, 369, 485, 607, 858, 423, 349, 862, 938, 289, 868, 764, 217, 96, 311, 522, 486, 122, 565, 878, 863, 926, 126, 219, 703, 409, 703, 586, 891, 959, 244, 77, 418, 128, 26, 679, 482, 603, 361, 860, 265}

    Returns: {1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0 }

  80. 920

    {225, 361, 393, 184, 663, 647, 632, 149, 755, 885, 790, 171, 911, 22, 245, 903, 577, 859, 517, 65, 728, 175, 5, 568, 712, 611, 875, 377, 166, 378, 580, 667, 87, 91, 223, 473, 819, 468, 799, 77, 702, 192, 898, 754, 899, 161, 600, 810, 827, 587, 855, 746, 348, 326, 600, 409, 916, 778, 69, 723, 583, 609, 894, 841, 586, 213, 164, 76, 497, 645, 76, 557, 902, 137, 156, 745, 21, 478, 370, 569, 618, 504, 301, 883, 574, 371, 689, 270, 334, 303, 491, 523, 490, 638, 731, 124, 569, 864, 572, 843, 832, 668, 918, 283, 220, 191, 838, 263, 62, 380, 282, 297, 671, 762, 541, 913, 244, 370, 616, 838, 63, 725, 686, 63, 704, 720, 107, 323, 373, 537, 198, 507, 20, 532, 491, 672, 482, 514, 421, 620, 152, 184, 835, 30, 888, 570, 190, 112, 905, 834, 715, 648, 517, 121, 529, 41, 697, 695, 186, 134, 653, 315, 13, 41, 519, 593, 240, 526, 272, 784, 648, 492, 372, 105, 266, 780, 918, 384, 827, 406, 115, 601, 404, 97, 842, 45, 401, 841, 221, 499, 173, 547, 768, 881, 535, 721, 507, 23, 354, 571, 117, 157, 474, 54, 344, 606, 573, 732, 132, 837, 691, 256, 224, 233, 209, 211, 680, 897, 95, 876, 626, 65, 575, 228, 88, 26, 85, 480, 350, 392, 506, 34, 330, 468, 246, 416, 70, 207, 665, 854, 219, 22, 833, 475, 168, 305, 719, 685, 894, 24, 425, 868, 814, 413, 572, 531, 565, 852, 706, 10, 367, 233, 243, 655, 649, 378, 915, 484, 389, 870, 589, 12, 466, 235, 297, 556, 723, 176, 906, 666, 822, 231, 422, 304, 702, 895, 881, 241, 220, 136, 287, 799, 415, 271, 493, 734, 333, 240, 860, 620, 850, 721, 350, 56, 709, 535, 798, 780, 847, 725, 611, 649, 5, 718, 464, 52, 670, 650, 354, 194, 559, 318, 524, 674, 418, 762, 5, 103, 527, 104, 862, 660, 901, 367, 737, 277, 307, 857, 478, 662, 677, 671, 912, 213, 749, 683, 133, 865, 419, 83, 347, 196, 264, 774, 305, 687, 493, 611, 323, 62, 883, 258, 99, 464, 62, 564, 601, 594, 200, 721, 693, 835, 765, 860, 50, 417, 158, 829, 743, 867, 868, 788, 716, 287, 94, 179, 89, 477, 490, 297, 34, 121, 918, 166, 692, 239, 281, 19, 747, 707, 75, 618, 37, 168, 403, 726, 92, 681, 840, 17, 789, 607, 857, 197, 678, 781, 765, 890, 847, 149, 71, 351, 210, 886, 865, 795, 406, 379, 533, 575, 218, 675, 271, 896, 218, 277, 189, 753, 135, 435, 714, 101, 201, 284, 848, 668, 247, 837, 6, 597, 665, 58, 579, 737, 412, 167, 151, 614, 492, 639, 628, 492, 535, 93, 66, 701, 652, 538, 877, 410, 108, 308, 356, 862, 855, 26, 78, 66, 395, 16, 782, 266, 106, 427, 275, 498, 75, 590, 65, 644, 529, 513, 215, 328, 100, 270, 528, 629, 324, 232, 705, 188, 502, 694, 749, 402, 760, 853, 634, 439, 695, 562, 753, 98, 341, 844, 315, 48, 471, 248, 226, 604, 363, 397, 295, 172, 263, 357, 599, 451, 253, 396, 903, 473, 7, 623, 131, 471, 741, 860, 467, 348, 10, 165, 737, 627, 134, 544, 656, 809, 247, 671, 859, 142, 110, 909, 118, 708, 102, 568, 536, 380, 835, 467, 653, 661, 727, 810, 355, 582, 647, 313, 435, 196, 447, 818, 613, 735, 741, 858, 676, 892, 844, 514, 251, 437, 734, 750, 812, 633, 632, 659, 387, 532, 638, 43, 846, 806, 877, 694, 253, 90, 446, 112, 175, 484, 575, 508, 263, 373, 206, 531, 338, 415, 197, 186, 387, 90, 221, 218, 352, 86, 919, 594, 301, 604, 42, 513, 702, 125, 653, 478, 109, 869, 885, 777, 741, 739, 386, 705, 598, 137, 889, 306, 698, 199, 839, 707, 586, 112, 690, 418, 399, 302, 211, 230, 576, 566, 836, 496, 16, 842, 208, 359, 353, 389, 688, 475, 907, 635, 48, 452, 126, 69, 680, 551, 684, 562, 850, 805, 349, 773, 233, 434, 914, 269, 149, 618, 655, 318, 409, 783, 417, 445, 729, 12, 752, 608, 81, 59, 304, 523, 242, 96, 106, 482, 100, 84, 854, 3, 467, 152, 205, 285, 854, 349, 85, 248, 88, 549, 426, 456, 341, 225, 800, 731, 538, 714, 848, 305, 481, 893, 802, 265, 577, 36, 810, 614, 802, 613, 861, 710, 111, 253, 201, 393, 372, 686, 511, 4, 61, 469, 237, 54, 905, 133, 388, 365, 187, 540, 776, 250, 259, 209, 501, 581, 781, 801, 793, 683, 139, 193, 17, 347, 472, 273, 519, 519, 718, 392, 304, 522, 747, 153, 311, 180, 836, 852, 751, 429, 502, 698, 446, 562, 84, 168, 172, 451, 122, 57, 133, 141, 257, 404, 885, 371, 251, 533, 462, 440, 264, 909, 162, 46, 830, 744, 858, 782, 293, 404, 136, 516, 620, 684, 765, 845, 300, 648, 76, 679, 729, 917, 159, 203, 351, 147, 274, 461, 371, 262, 839, 704, 459, 123, 824, 397, 882, 832, 486, 53, 377, 689, 657, 900, 783, 38, 629, 441, 679, 830, 191, 358, 710, 569, 807, 757, 181, 779, 808, 714, 146, 453, 96, 156, 135, 188, 70, 58, 265, 526, 465, 10, 537, 805, 346, 465, 413, 29, 407, 678, 314, 334, 308, 878, 513, 14, 546, 823, 644, 310, 440, 292, 496, 843, 549, 289, 335, 520, 865, 867, 448, 215, 120, 231, 637, 643, 698, 118, 591, 81, 559, 98, 777, 459, 417, 888, 117, 777, 442, 440, 249, 403, 459, 468, 230, 130, 889, 102, 63, 565, 327, 51, 554, 202, 515, 365, 107, 746, 734, 193, 892, 254, 353, 202, 108, 879, 316, 430, 913, 156, 360, 384, 139, 289, 614, 649, 99, 570, 532, 402, 882, 425, 50, 819, 444, 554, 93, 628, 539, 722, 818, 255, 621, 806, 36, 426, 299, 351, 325, 646, 583, 116, 679, 907, 834, 875, 559, 632, 861, 706, 303, 685, 123, 57, 652, 525, 403, 464, 582, 773, 448, 758, 500, 18, 709, 769, 55, 602, 111, 275, 642, 390, 645, 370, 515, 881, 485, 269, 779, 728, 29, 691, 843, 331, 321, 448, 871, 147, 281, 800, 145, 844, 832, 67, 761, 447, 546, 607, 143, 98, 273, 56, 441, 740, 912, 595, 792, 780, 30, 159, 408, 154, 642, 599, 554, 700, 525, 692, 300, 912, 871, 784, 462, 482, 914, 551, 363, 455, 261, 831, 95, 722, 680, 769, 119, 198, 674, 650, 279, 578, 607, 392, 624, 199, 895, 858, 406, 138, 443, 877, 699, 140, 86, 873, 252, 210, 586, 791, 631, 39, 385, 707, 915, 137, 279, 660, 873, 316, 662, 525, 42, 520, 380, 584, 424, 769, 515, 428, 514, 914, 92, 0, 166, 425, 148, 420, 907, 360, 708, 872, 222, 398, 346, 834, 685, 798, 405, 134, 224, 828, 319, 349, 1, 717, 695, 895, 309, 457, 379, 338, 42, 815, 802, 96, 69, 410, 606, 345, 850, 812, 864, 433, 222, 249, 500, 457, 743, 463, 91, 412, 713, 662, 78, 190, 898, 206, 311, 804, 215, 273, 612, 24, 876, 540, 172, 499, 198, 518, 242, 723, 353, 809, 629, 296, 670, 822, 389, 37, 838, 37, 157, 348, 719, 129, 852, 430, 590, 285, 414, 821, 853, 444, 902, 36, 27, 809, 144, 596, 45, 504, 236, 711, 342, 213, 596, 870, 74, 60, 345, 187, 337, 99, 102, 728, 208, 745, 366, 283, 152, 706, 88, 79, 751, 74, 344, 726, 773, 558, 507, 530, 828, 261, 861, 677, 820, 100, 502, 383, 602, 390, 758, 840, 805, 282, 4, 497, 772, 690, 770, 789, 130, 104, 237, 436, 393, 536, 132, 407, 146, 646, 292, 635, 660, 543, 630, 54, 558, 874, 533, 774, 356, 640, 16, 364, 256, 119, 336, 400, 363, 495, 863, 104, 75, 686, 451, 668, 421, 526, 359, 177, 855, 132, 262, 85, 828, 693, 803, 869, 232, 86, 173, 470, 44, 555, 3, 560, 103, 556, 114, 141, 52, 784, 164, 760, 783, 546, 238, 402, 153, 829, 8, 636, 823, 183, 898, 833, 530, 367, 171, 837, 484, 125, 542, 498, 659, 46, 875, 510, 309, 336, 756, 151, 282, 823, 299, 693, 328, 781, 720, 147}

    {512, 462, 195, 651, 454, 555, 531, 376, 60, 694, 66, 790, 202, 288, 143, 640, 23, 352, 395, 544, 56, 160, 821, 302, 11, 744, 423, 906, 573, 891, 18, 724, 605, 768, 285, 711, 229, 175, 0, 192, 710, 505, 879, 724, 127, 204, 101, 752, 368, 214, 93, 87, 350, 122, 893, 638, 851, 797, 807, 736, 804, 47, 383, 587, 64, 267, 453, 394, 663, 545, 330, 216, 381, 388, 591, 636, 673, 617, 257, 414, 873, 216, 509, 122, 510, 443, 120, 140, 174, 722, 890, 551, 883, 21, 82, 664, 419, 742, 142, 583, 358, 164, 709, 222, 38, 385, 400, 252, 212, 24, 447, 486, 428, 866, 177, 167, 794, 312, 72, 782, 862, 177, 869, 578, 11, 391, 811, 295, 845, 524, 566, 318, 40, 580, 487, 368, 630, 672, 437, 362, 416, 793, 401, 508, 260, 144, 154, 558, 391, 230, 588, 915, 205, 911, 692, 509, 157, 581, 622, 74, 645, 816, 787, 550, 565, 195, 609, 105, 105, 410, 138, 847, 763, 868, 527, 778, 610, 598, 81, 397, 856, 150, 264, 32, 313, 748, 80, 424, 262, 312, 129, 726, 479, 545, 27, 691, 109, 887, 238, 669, 848, 548, 689, 261, 182, 67, 512, 260, 704, 570, 759, 917, 44, 255, 236, 374, 61, 884, 489, 466, 766, 372, 450, 324, 270, 528, 603, 268, 863, 486, 107, 808, 394, 310, 585, 150, 557, 291, 476, 139, 315, 251, 35, 140, 571, 124, 582, 238, 563, 306, 483, 633, 64, 670, 298, 223, 411, 201, 899, 228, 283, 839, 195, 627, 250, 26, 494, 749, 113, 124, 600, 616, 498, 806, 708, 286, 302, 7, 748, 220, 394, 697, 799, 190, 50, 804, 490, 343, 15, 880, 23, 239, 61, 382, 472, 597, 411, 801, 307, 237, 499, 306, 35, 28, 476, 516, 725, 716, 49, 775, 6, 210, 48, 27, 775, 539, 200, 89, 185, 426, 745, 109, 690, 534, 456, 386, 145, 226, 788, 252, 465, 35, 178, 317, 44, 833, 25, 884, 165, 557, 631, 381, 687, 254, 579, 258, 608, 142, 414, 867, 658, 553, 677, 681, 729, 534, 571, 520, 376, 480, 545, 811, 851, 154, 684, 170, 373, 408, 431, 897, 110, 80, 524, 92, 51, 0, 423, 592, 476, 750, 272, 552, 336, 396, 908, 813, 30, 433, 326, 619, 68, 443, 19, 79, 94, 301, 337, 610, 127, 396, 409, 13, 529, 67, 888, 657, 436, 584, 335, 434, 491, 756, 327, 633, 55, 646, 469, 789, 472, 295, 537, 497, 254, 483, 298, 267, 846, 606, 163, 626, 442, 49, 319, 730, 770, 477, 442, 696, 189, 423, 623, 193, 2, 28, 143, 383, 183, 365, 17, 458, 743, 314, 366, 276, 250, 374, 849, 616, 493, 40, 419, 675, 522, 841, 716, 908, 241, 580, 184, 666, 849, 817, 216, 813, 587, 342, 826, 797, 126, 200, 846, 882, 746, 683, 794, 876, 21, 322, 235, 666, 908, 287, 123, 227, 637, 47, 891, 808, 909, 180, 851, 128, 889, 375, 206, 817, 71, 307, 411, 585, 731, 661, 148, 227, 388, 561, 919, 234, 793, 432, 182, 340, 77, 400, 376, 12, 395, 504, 159, 474, 501, 887, 219, 899, 217, 576, 785, 820, 740, 384, 539, 477, 19, 654, 224, 211, 382, 763, 825, 87, 358, 902, 573, 298, 900, 228, 887, 619, 550, 574, 688, 857, 187, 458, 291, 521, 622, 128, 748, 803, 904, 501, 158, 536, 33, 300, 595, 733, 910, 640, 32, 699, 444, 827, 756, 286, 155, 341, 761, 78, 713, 317, 624, 279, 717, 703, 386, 792, 739, 588, 313, 811, 763, 59, 89, 115, 599, 650, 126, 416, 366, 343, 530, 321, 826, 547, 630, 506, 2, 189, 512, 682, 903, 481, 602, 485, 232, 577, 97, 757, 326, 538, 438, 463, 588, 785, 199, 471, 625, 916, 290, 829, 853, 759, 258, 910, 255, 274, 560, 460, 469, 163, 458, 736, 495, 429, 268, 178, 511, 639, 413, 831, 246, 8, 647, 758, 553, 203, 761, 399, 119, 818, 517, 170, 768, 227, 623, 521, 245, 361, 148, 757, 796, 590, 162, 591, 323, 787, 374, 438, 673, 755, 422, 817, 20, 503, 128, 794, 672, 460, 786, 77, 73, 342, 605, 624, 751, 754, 53, 480, 596, 845, 338, 713, 169, 753, 872, 772, 475, 479, 720, 163, 83, 429, 824, 581, 249, 3, 312, 496, 33, 658, 657, 31, 280, 246, 188, 774, 727, 284, 495, 32, 332, 428, 567, 593, 792, 615, 742, 576, 229, 738, 430, 667, 521, 275, 592, 687, 826, 608, 767, 267, 420, 712, 842, 82, 527, 47, 642, 506, 169, 589, 744, 101, 669, 589, 333, 634, 331, 259, 541, 550, 473, 1, 487, 260, 398, 770, 382, 9, 598, 427, 235, 905, 667, 379, 72, 120, 291, 405, 871, 886, 278, 631, 715, 242, 461, 456, 878, 217, 825, 466, 664, 481, 890, 322, 299, 762, 25, 656, 115, 718, 917, 4, 760, 150, 452, 700, 822, 518, 664, 170, 900, 771, 663, 511, 280, 288, 470, 831, 796, 209, 801, 730, 280, 866, 603, 111, 619, 169, 355, 697, 146, 766, 60, 644, 68, 785, 196, 755, 58, 332, 161, 661, 564, 733, 369, 240, 68, 268, 547, 894, 528, 457, 452, 752, 357, 185, 795, 715, 578, 324, 738, 878, 450, 179, 431, 494, 859, 700, 682, 7, 445, 361, 824, 15, 815, 676, 14, 160, 281, 40, 20, 803, 415, 320, 563, 434, 572, 592, 485, 896, 548, 548, 319, 736, 90, 800, 703, 296, 103, 523, 131, 779, 643, 360, 245, 441, 135, 176, 18, 732, 203, 508, 79, 333, 290, 41, 179, 130, 759, 204, 91, 470, 136, 144, 427, 455, 52, 658, 39, 795, 555, 73, 151, 286, 584, 564, 627, 836, 542, 436, 329, 387, 503, 31, 916, 449, 654, 308, 788, 129, 161, 612, 561, 321, 214, 243, 399, 97, 339, 796, 561, 544, 636, 391, 816, 454, 892, 872, 772, 432, 688, 812, 225, 158, 439, 241, 655, 747, 204, 191, 896, 897, 223, 345, 776, 798, 116, 594, 173, 113, 540, 654, 610, 595, 29, 239, 247, 901, 651, 489, 207, 117, 856, 207, 483, 43, 771, 284, 138, 57, 248, 95, 229, 340, 566, 43, 174, 274, 234, 621, 183, 49, 764, 125, 510, 461, 278, 364, 893, 906, 131, 910, 1, 28, 446, 171, 160, 450, 33, 786, 739, 110, 819, 494, 337, 701, 339, 674, 901, 38, 194, 289, 639, 192, 505, 605, 724, 221, 390, 676, 549, 355, 145, 244, 153, 310, 617, 813, 22, 420, 320, 740, 116, 919, 625, 678, 73, 820, 325, 771, 354, 13, 488, 265, 659, 431, 825, 108, 314, 118, 55, 750, 165, 277, 787, 503, 543, 174, 309, 322, 405, 72, 214, 45, 579, 381, 296, 292, 25, 422, 407, 604, 696, 359, 764, 776, 849, 552, 814, 742, 626, 352, 185, 541, 884, 181, 276, 699, 369, 696, 449, 673, 82, 719, 180, 703, 669, 375, 542, 113, 186, 378, 256, 15, 675, 176, 278, 764, 269, 294, 317, 617, 178, 398, 8, 615, 612, 31, 652, 356, 197, 775, 437, 880, 488, 641, 730, 347, 479, 327, 329, 244, 681, 257, 500, 553, 911, 643, 904, 106, 34, 368, 791, 330, 815, 94, 866, 701, 474, 294, 641, 886, 567, 362, 6, 343, 628, 234, 293, 621, 489, 344, 516, 455, 534, 597, 613, 543, 11, 127, 891, 412, 155, 162, 637, 830, 334, 80, 217, 705, 522, 377, 439, 226, 856, 560, 601, 711, 609, 9, 181, 271, 208, 622, 46, 59, 438, 205, 325, 84, 167, 656, 651, 369, 293, 840, 509, 331, 339, 453, 401, 735, 212, 454, 641, 71, 567, 487, 634, 311, 807, 290, 243, 518, 712, 9, 727, 603, 870, 155, 863, 70, 320, 754, 460, 449, 418, 316, 357, 816, 791, 505, 362, 821, 790, 625, 328, 913, 294, 488, 717, 463, 231, 335, 879, 272, 259, 786, 424, 236, 2, 266, 53, 766, 432, 615, 767, 385, 141, 121, 276, 904, 212, 814, 585, 421, 64, 340, 635, 14, 563, 738, 593, 574, 682, 445, 874, 83, 665, 182, 303, 332, 556, 433, 375, 114, 797, 874, 880, 735, 767, 329, 114, 733, 435, 568, 732, 778, 288, 39, 408, 51, 219, 346, 364, 552, 194, 864}

    Returns: {1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1 }

  81. 876

    {696, 726, 694, 664, 778, 603, 439, 658, 798, 412, 268, 201, 406, 94, 296, 675, 555, 543, 253, 498, 91, 748, 165, 57, 515, 817, 380, 520, 655, 249, 371, 44, 454, 423, 747, 672, 424, 568, 507, 357, 616, 389, 790, 404, 355, 714, 369, 212, 55, 337, 388, 198, 868, 611, 459, 740, 323, 600, 221, 427, 594, 9, 525, 571, 239, 802, 46, 714, 250, 69, 425, 29, 280, 240, 866, 28, 549, 529, 10, 191, 243, 742, 427, 872, 328, 623, 624, 216, 148, 32, 171, 192, 537, 424, 456, 239, 152, 576, 471, 253, 573, 30, 232, 186, 845, 171, 468, 4, 592, 552, 88, 581, 335, 790, 579, 58, 662, 180, 133, 272, 599, 507, 533, 546, 284, 684, 621, 861, 136, 397, 245, 398, 870, 854, 113, 547, 215, 164, 525, 467, 692, 114, 305, 206, 315, 632, 128, 308, 438, 874, 236, 620, 182, 236, 344, 308, 63, 23, 853, 673, 41, 122, 776, 597, 708, 517, 590, 105, 59, 640, 272, 383, 781, 228, 700, 144, 578, 423, 465, 243, 465, 252, 751, 447, 355, 463, 122, 325, 292, 208, 470, 348, 636, 359, 493, 128, 146, 552, 75, 851, 576, 381, 874, 112, 144, 735, 535, 30, 392, 83, 10, 697, 299, 831, 105, 798, 558, 529, 278, 104, 606, 30, 186, 827, 804, 771, 14, 547, 181, 407, 729, 171, 712, 632, 660, 268, 554, 110, 462, 569, 350, 678, 259, 81, 257, 795, 777, 370, 804, 832, 187, 407, 369, 749, 782, 519, 652, 436, 28, 776, 336, 394, 156, 314, 290, 6, 756, 342, 269, 178, 532, 346, 154, 78, 197, 8, 655, 842, 609, 796, 126, 775, 27, 246, 812, 799, 510, 774, 850, 150, 39, 489, 730, 846, 71, 7, 820, 176, 487, 489, 159, 521, 313, 707, 527, 140, 530, 212, 377, 852, 828, 21, 200, 39, 642, 420, 108, 568, 593, 55, 76, 667, 97, 317, 803, 648, 393, 584, 820, 797, 404, 466, 694, 408, 414, 260, 696, 750, 663, 647, 267, 276, 110, 177, 433, 398, 787, 863, 250, 172, 608, 147, 50, 139, 704, 7, 59, 79, 570, 352, 747, 612, 194, 284, 22, 391, 446, 401, 306, 170, 767, 56, 101, 366, 452, 751, 686, 627, 352, 453, 552, 166, 724, 244, 663, 509, 642, 493, 66, 745, 646, 865, 15, 316, 482, 216, 458, 816, 159, 384, 172, 70, 349, 378, 34, 473, 300, 643, 116, 241, 282, 424, 848, 609, 57, 631, 107, 480, 724, 578, 799, 340, 803, 673, 696, 753, 375, 461, 808, 672, 428, 557, 195, 328, 240, 805, 225, 542, 570, 831, 666, 98, 237, 611, 198, 161, 544, 566, 569, 62, 179, 458, 556, 14, 255, 656, 653, 295, 165, 23, 509, 142, 820, 724, 353, 454, 203, 723, 398, 38, 859, 270, 66, 316, 93, 469, 60, 700, 52, 812, 869, 573, 802, 96, 489, 564, 838, 818, 325, 651, 348, 439, 512, 327, 29, 656, 116, 2, 102, 138, 476, 872, 796, 37, 839, 351, 125, 432, 768, 360, 527, 309, 242, 138, 570, 805, 586, 575, 204, 303, 260, 545, 604, 392, 149, 419, 698, 306, 44, 560, 504, 543, 340, 42, 464, 317, 53, 145, 811, 687, 412, 524, 410, 543, 727, 658, 372, 740, 344, 258, 631, 181, 303, 827, 632, 17, 275, 46, 127, 120, 524, 469, 56, 292, 635, 499, 72, 565, 689, 161, 226, 196, 602, 273, 721, 372, 290, 669, 8, 88, 213, 400, 731, 373, 497, 785, 257, 532, 151, 855, 155, 602, 516, 759, 5, 848, 435, 226, 112, 214, 778, 215, 220, 514, 815, 727, 554, 142, 39, 540, 255, 630, 420, 172, 582, 100, 343, 506, 749, 532, 474, 133, 325, 520, 262, 204, 120, 75, 759, 650, 784, 382, 58, 837, 119, 162, 875, 347, 629, 328, 230, 476, 232, 130, 498, 526, 428, 541, 281, 713, 701, 205, 358, 685, 418, 404, 431, 444, 392, 443, 19, 518, 468, 615, 530, 344, 16, 119, 788, 67, 257, 230, 647, 772, 702, 654, 263, 731, 726, 825, 370, 377, 680, 789, 253, 327, 199, 825, 52, 35, 753, 539, 190, 146, 439, 518, 314, 17, 613, 689, 719, 607, 735, 174, 485, 501, 209, 264, 327, 206, 12, 800, 807, 209, 409, 526, 422, 833, 463, 503, 335, 56, 555, 62, 672, 212, 359, 582, 761, 586, 851, 784, 421, 569, 205, 866, 686, 376, 703, 711, 125, 595, 261, 27, 26, 706, 130, 92, 324, 792, 671, 593, 58, 610, 28, 504, 274, 627, 156, 340, 207, 564, 106, 768, 755, 395, 196, 262, 115, 80, 433, 465, 378, 718, 862, 312, 602, 243, 497, 478, 684, 703, 203, 214, 157, 488, 752, 70, 393, 266, 27, 456, 214, 313, 515, 791, 367, 297, 571, 600, 730, 474, 538, 767, 213, 200, 686, 528, 710, 857, 792, 397, 69, 86, 224, 603, 377, 218, 725, 745, 6, 525, 815, 685, 103, 581, 522, 429, 471, 19, 617, 337, 499, 512, 51, 297, 849, 548, 202, 97, 638, 673, 725, 449, 87, 418, 639, 663, 291, 667, 425, 358, 653, 511, 566, 660, 5, 258, 387, 231, 553, 603, 362, 707, 743, 795, 483, 113, 331, 598, 870, 594, 506, 866, 546, 80, 589, 85, 744, 201, 860, 92, 594, 285, 445, 205, 241, 815, 154, 376, 59, 484, 769, 630, 734, 651, 357, 634, 589, 372, 626, 217, 856, 310, 450, 608, 643, 225, 794, 204, 858, 255, 664, 52, 868, 502, 306, 195, 823, 716, 577, 68, 548, 193, 23, 574, 644, 300, 764, 757, 259, 105, 244, 551, 234, 388, 345, 281, 332, 662, 361, 48, 312, 872, 488, 301, 318, 335, 339, 857, 529, 359, 478, 5, 196, 17, 429, 595, 288, 803, 609, 35, 853, 621, 744, 626, 634, 748, 357, 315, 580, 531, 368, 493, 141, 823, 135, 270, 411, 809, 90, 688, 699, 179, 580, 402, 829, 110, 389, 272, 300, 111, 842, 402, 444, 106, 127, 716, 51, 585, 828, 378, 3, 258, 765, 535, 692, 720, 630, 273, 445, 763, 220, 476, 779, 497, 173, 650, 466, 233, 0, 245, 734, 605, 741, 240, 772, 413, 370, 741, 158, 669, 580, 102, 22, 108, 108, 593, 304, 470, 155, 217, 600, 487, 334, 232, 479, 865, 545, 215, 629, 113, 577, 711, 3, 89, 294, 429, 844, 665, 839, 176, 514, 78, 216, 650, 488, 829, 62, 486, 201, 513, 871, 305, 697, 364, 435, 128, 21, 715, 548, 287, 837, 268, 173, 43, 587, 433, 869, 729, 733, 544, 251, 851, 564, 869, 618, 641, 37, 700, 435, 332, 304, 161, 38, 479, 234, 320, 703, 199, 98, 309, 863, 411, 784, 494, 550, 855, 203, 78, 757, 573, 366, 485, 745, 138, 184, 716, 13, 140, 490, 385, 449, 527, 683, 677, 819, 675, 330, 557, 713, 510, 574, 91, 324, 447, 334, 830, 338, 572, 246, 410, 551, 40, 452, 676, 668, 199, 480, 292, 202, 295, 817, 614, 636, 764, 202, 717, 11, 840, 37, 565, 55, 463, 229, 528, 495, 522, 72, 471, 835, 286, 374, 793, 291, 813, 92, 242, 94, 375, 222, 512, 371, 125, 24, 523, 230, 669, 450, 831, 40, 505, 668, 808, 443, 788, 329, 458, 678, 631, 797, 606, 477, 343, 720, 193, 665, 522, 341, 855, 41, 178, 394, 75, 157, 868, 184, 563, 822, 462, 645, 731, 800, 558, 298, 251, 219, 635, 152, 735, 654, 793, 734, 188, 407, 456, 690, 638, 235, 643, 519, 853, 839, 715, 710, 12, 554, 459, 615, 705, 500, 363, 706, 308, 436, 791, 263, 288, 500, 32, 148, 871, 762, 189, 287, 290, 658, 165, 826, 449, 311, 619, 680, 318, 135, 74, 460, 809, 655, 475, 422, 293, 627, 654, 225, 332, 507, 816, 102, 757, 249, 854, 581, 649, 86, 714, 698, 349, 859, 612, 620, 175, 413, 415}

    {494, 762, 218, 638, 261, 572, 776, 621, 718, 29, 124, 339, 217, 625, 783, 542, 836, 790, 473, 437, 64, 123, 656, 347, 475, 222, 362, 773, 221, 247, 208, 613, 563, 244, 821, 4, 629, 227, 270, 504, 811, 395, 319, 383, 542, 582, 379, 320, 636, 550, 873, 95, 323, 387, 737, 623, 448, 234, 396, 721, 639, 848, 206, 537, 84, 830, 708, 612, 298, 333, 73, 252, 426, 282, 553, 111, 451, 447, 283, 549, 441, 434, 814, 670, 861, 86, 823, 157, 277, 598, 723, 682, 748, 99, 579, 511, 705, 323, 228, 236, 283, 871, 800, 367, 393, 675, 622, 24, 3, 520, 418, 801, 302, 390, 484, 844, 7, 728, 584, 850, 567, 63, 670, 33, 852, 346, 238, 342, 381, 160, 4, 0, 42, 858, 168, 333, 420, 337, 646, 788, 150, 371, 738, 286, 819, 191, 575, 269, 130, 772, 786, 194, 99, 565, 833, 481, 129, 460, 401, 523, 408, 610, 18, 778, 259, 825, 681, 875, 133, 353, 362, 319, 197, 322, 166, 604, 134, 211, 747, 844, 16, 412, 96, 274, 189, 443, 508, 210, 819, 114, 417, 777, 561, 468, 329, 20, 769, 1, 422, 779, 562, 506, 390, 170, 356, 768, 386, 339, 701, 444, 279, 677, 41, 134, 385, 579, 277, 296, 21, 637, 89, 137, 841, 585, 561, 358, 417, 143, 572, 431, 336, 189, 124, 863, 153, 68, 50, 744, 307, 87, 287, 708, 46, 36, 267, 736, 309, 427, 828, 428, 423, 856, 849, 145, 843, 363, 131, 596, 178, 515, 483, 104, 840, 207, 845, 712, 845, 479, 676, 659, 699, 65, 464, 336, 571, 754, 490, 85, 190, 322, 804, 18, 683, 248, 229, 668, 169, 417, 118, 434, 746, 503, 595, 517, 223, 15, 770, 739, 224, 85, 754, 45, 163, 789, 464, 715, 132, 264, 689, 452, 561, 807, 755, 690, 728, 760, 33, 665, 688, 54, 816, 6, 812, 537, 299, 875, 756, 131, 794, 103, 641, 806, 147, 299, 681, 616, 533, 874, 796, 406, 536, 324, 607, 303, 733, 341, 22, 53, 832, 763, 862, 117, 326, 426, 472, 822, 224, 134, 53, 852, 76, 149, 8, 132, 592, 559, 54, 710, 169, 163, 614, 114, 691, 311, 132, 187, 691, 590, 640, 591, 310, 33, 139, 187, 322, 780, 261, 349, 391, 90, 31, 379, 437, 733, 472, 503, 623, 16, 536, 738, 576, 765, 155, 384, 633, 786, 127, 288, 354, 864, 356, 266, 779, 298, 95, 856, 785, 409, 200, 709, 160, 795, 560, 846, 495, 726, 441, 847, 183, 374, 209, 659, 440, 538, 144, 835, 829, 808, 51, 578, 403, 867, 601, 293, 57, 313, 307, 238, 237, 785, 219, 618, 156, 826, 442, 693, 824, 534, 560, 26, 457, 802, 558, 120, 352, 416, 351, 355, 90, 174, 233, 858, 210, 49, 148, 681, 141, 353, 692, 415, 586, 10, 773, 671, 294, 818, 810, 771, 391, 366, 25, 775, 101, 415, 588, 695, 657, 401, 365, 98, 511, 533, 167, 118, 280, 271, 80, 707, 211, 354, 373, 348, 38, 761, 73, 838, 151, 20, 474, 238, 617, 693, 711, 478, 430, 786, 321, 510, 386, 695, 67, 319, 736, 740, 766, 123, 451, 769, 260, 65, 588, 296, 13, 383, 282, 221, 843, 455, 486, 811, 77, 540, 566, 516, 451, 454, 430, 47, 682, 74, 274, 251, 690, 608, 562, 301, 278, 419, 649, 743, 567, 597, 502, 442, 814, 782, 756, 119, 413, 760, 262, 836, 115, 766, 767, 706, 159, 500, 61, 822, 676, 438, 587, 379, 13, 539, 97, 704, 513, 66, 180, 326, 697, 277, 374, 604, 671, 773, 530, 496, 273, 563, 326, 448, 275, 505, 139, 252, 146, 752, 684, 254, 749, 1, 617, 765, 426, 835, 403, 806, 482, 647, 285, 100, 256, 742, 518, 198, 508, 342, 40, 84, 364, 502, 645, 691, 82, 448, 791, 60, 265, 197, 818, 279, 331, 293, 382, 333, 103, 531, 782, 648, 758, 36, 746, 241, 152, 82, 347, 18, 536, 508, 431, 390, 727, 487, 824, 338, 153, 846, 814, 71, 585, 432, 419, 436, 841, 276, 434, 164, 153, 730, 250, 210, 475, 421, 646, 416, 535, 223, 168, 179, 722, 129, 64, 283, 832, 320, 394, 477, 48, 628, 72, 82, 524, 123, 805, 864, 531, 834, 89, 208, 400, 360, 24, 794, 553, 149, 867, 699, 158, 664, 653, 140, 111, 432, 101, 652, 281, 356, 461, 109, 312, 81, 121, 107, 93, 809, 318, 460, 751, 787, 363, 99, 289, 775, 480, 414, 368, 385, 31, 771, 521, 722, 732, 321, 642, 622, 143, 807, 316, 705, 738, 568, 534, 728, 384, 375, 15, 797, 687, 231, 271, 559, 588, 759, 321, 222, 830, 610, 615, 575, 145, 513, 453, 231, 841, 343, 781, 150, 109, 661, 722, 645, 622, 74, 526, 248, 2, 83, 862, 801, 83, 618, 652, 626, 793, 117, 826, 440, 806, 173, 459, 624, 265, 235, 400, 516, 381, 843, 213, 682, 64, 505, 425, 732, 865, 116, 70, 637, 599, 517, 774, 446, 601, 760, 330, 228, 32, 68, 549, 762, 445, 84, 177, 271, 509, 813, 799, 633, 758, 540, 12, 311, 112, 25, 45, 719, 88, 291, 455, 330, 136, 789, 109, 847, 486, 294, 399, 361, 135, 275, 235, 519, 824, 781, 589, 737, 373, 254, 131, 798, 559, 739, 14, 625, 334, 635, 833, 19, 496, 304, 77, 1, 154, 121, 226, 207, 770, 687, 583, 717, 472, 162, 562, 438, 644, 351, 685, 492, 607, 712, 360, 491, 295, 492, 169, 192, 613, 556, 47, 648, 211, 307, 411, 118, 490, 633, 547, 679, 467, 462, 597, 544, 666, 91, 167, 606, 137, 639, 409, 758, 265, 780, 180, 158, 587, 539, 482, 408, 267, 192, 2, 396, 219, 181, 763, 317, 453, 26, 174, 185, 246, 491, 713, 279, 184, 619, 742, 694, 440, 787, 61, 605, 619, 0, 674, 605, 752, 380, 550, 289, 750, 598, 69, 492, 164, 521, 191, 557, 126, 305, 247, 616, 661, 44, 405, 163, 176, 717, 421, 541, 657, 239, 9, 498, 31, 43, 43, 338, 341, 624, 774, 399, 683, 702, 750, 194, 721, 71, 416, 813, 242, 410, 688, 166, 546, 719, 873, 11, 491, 873, 405, 376, 67, 628, 860, 369, 350, 50, 182, 94, 399, 702, 249, 302, 842, 310, 441, 718, 297, 95, 93, 45, 834, 667, 403, 314, 107, 864, 467, 720, 137, 247, 657, 628, 188, 263, 461, 237, 354, 693, 350, 466, 286, 124, 827, 49, 395, 574, 49, 670, 590, 9, 501, 698, 455, 611, 388, 640, 229, 115, 406, 170, 63, 861, 162, 764, 34, 367, 761, 25, 73, 405, 175, 620, 35, 662, 660, 106, 528, 501, 625, 77, 195, 867, 860, 729, 780, 601, 678, 736, 141, 450, 223, 220, 121, 183, 857, 680, 677, 644, 483, 499, 167, 783, 591, 142, 859, 496, 556, 365, 48, 122, 284, 481, 387, 186, 783, 792, 817, 315, 65, 679, 54, 264, 346, 442, 725, 248, 850, 473, 446, 185, 596, 368, 494, 555, 847, 136, 810, 674, 737, 649, 709, 256, 147, 583, 168, 47, 661, 100, 177, 278, 245, 365, 182, 256, 766, 79, 266, 837, 160, 723, 185, 361, 481, 870, 345, 485, 701, 302, 674, 280, 743, 329, 227, 836, 402, 614, 331, 289, 188, 838, 834, 634, 457, 739, 437, 551, 679, 233, 364, 770, 190, 414, 577, 541, 76, 538, 254, 81, 11, 637, 382, 484, 746, 175, 801, 599, 777, 79, 755, 87, 126, 380, 96, 386, 741, 821, 61, 285, 301, 193, 104, 34, 20, 704, 389, 709, 514, 227, 753, 183, 545, 666, 396, 695, 470, 60, 651, 583, 659, 276, 457, 732, 534, 430, 345, 591, 810, 641, 469, 584, 477, 143, 854, 821, 523, 840, 592, 129, 397, 36, 42, 218, 151, 269, 849, 117, 495, 567, 754, 596}

    Returns: {1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0 }

  82. 880

    {831, 292, 751, 397, 189, 83, 95, 165, 521, 108, 18, 646, 60, 51, 752, 691, 32, 416, 135, 33, 56, 260, 219, 321, 410, 118, 702, 476, 13, 47, 712, 629, 256, 547, 300, 460, 592, 320, 144, 617, 677, 379, 492, 70, 34, 849, 139, 56, 408, 584, 833, 347, 526, 67, 819, 16, 600, 491, 749, 808, 348, 736, 383, 221, 76, 68, 509, 583, 244, 647, 178, 407, 183, 5, 558, 591, 819, 510, 429, 743, 248, 301, 372, 396, 771, 207, 676, 557, 415, 569, 102, 155, 587, 109, 25, 845, 509, 226, 737, 853, 306, 446, 668, 767, 157, 125, 135, 577, 284, 538, 514, 20, 807, 62, 488, 666, 90, 105, 637, 365, 166, 824, 730, 536, 812, 295, 400, 712, 749, 251, 289, 546, 202, 741, 532, 747, 810, 148, 753, 608, 705, 360, 733, 276, 438, 816, 384, 422, 745, 270, 328, 330, 163, 667, 155, 280, 632, 646, 711, 21, 699, 837, 553, 283, 447, 209, 811, 465, 778, 751, 566, 517, 161, 567, 575, 425, 488, 391, 677, 825, 772, 848, 338, 477, 225, 648, 841, 660, 39, 374, 254, 153, 807, 346, 147, 160, 112, 777, 42, 858, 652, 358, 778, 686, 518, 860, 628, 696, 51, 720, 53, 632, 360, 166, 208, 23, 519, 395, 775, 189, 794, 611, 87, 42, 702, 219, 607, 768, 239, 653, 597, 426, 836, 735, 732, 30, 296, 353, 854, 674, 460, 390, 415, 14, 518, 861, 616, 726, 161, 721, 568, 647, 579, 367, 152, 670, 187, 805, 679, 41, 336, 471, 150, 32, 312, 389, 341, 700, 132, 44, 73, 40, 478, 616, 246, 309, 848, 368, 129, 175, 857, 592, 860, 233, 421, 0, 843, 644, 281, 340, 144, 65, 203, 852, 96, 498, 272, 366, 97, 554, 214, 711, 184, 746, 447, 686, 576, 803, 383, 28, 331, 710, 188, 765, 803, 364, 0, 384, 748, 351, 667, 377, 795, 410, 620, 845, 62, 357, 630, 171, 621, 277, 674, 222, 573, 673, 796, 68, 729, 406, 159, 158, 11, 20, 318, 609, 563, 350, 608, 830, 305, 155, 121, 563, 512, 242, 413, 877, 80, 459, 651, 115, 378, 232, 481, 436, 438, 22, 385, 753, 493, 685, 14, 143, 469, 633, 101, 132, 42, 831, 258, 454, 183, 497, 275, 301, 156, 188, 784, 827, 9, 162, 784, 41, 113, 347, 754, 338, 664, 158, 834, 282, 443, 331, 56, 464, 617, 391, 366, 115, 622, 578, 417, 575, 339, 396, 795, 408, 51, 107, 287, 117, 875, 335, 114, 654, 255, 581, 639, 373, 214, 682, 540, 733, 588, 478, 440, 669, 12, 365, 159, 493, 382, 623, 211, 584, 520, 180, 54, 121, 683, 513, 715, 128, 245, 631, 822, 77, 419, 477, 550, 367, 137, 856, 500, 800, 344, 128, 772, 616, 570, 305, 555, 445, 459, 353, 208, 426, 342, 209, 755, 635, 744, 165, 846, 662, 742, 194, 715, 58, 172, 240, 505, 83, 449, 442, 687, 89, 314, 380, 648, 186, 181, 412, 689, 581, 93, 742, 669, 203, 461, 833, 604, 429, 167, 733, 659, 362, 839, 515, 272, 88, 785, 725, 655, 198, 109, 417, 315, 315, 415, 268, 657, 10, 29, 420, 69, 490, 380, 656, 402, 343, 482, 348, 354, 624, 377, 58, 270, 103, 704, 848, 659, 163, 464, 230, 140, 74, 875, 195, 430, 695, 80, 603, 698, 248, 617, 199, 548, 734, 428, 228, 131, 717, 140, 470, 673, 746, 425, 798, 743, 537, 187, 630, 90, 359, 416, 17, 468, 296, 213, 457, 460, 817, 550, 205, 429, 752, 829, 669, 618, 225, 9, 421, 168, 299, 49, 699, 574, 782, 170, 473, 592, 874, 36, 549, 533, 84, 404, 679, 19, 221, 220, 333, 851, 329, 105, 602, 536, 876, 145, 290, 668, 631, 867, 452, 172, 665, 495, 27, 425, 840, 487, 879, 834, 622, 82, 612, 258, 480, 28, 241, 344, 471, 426, 799, 863, 206, 203, 208, 325, 196, 545, 119, 689, 619, 761, 596, 461, 293, 149, 638, 177, 391, 867, 474, 791, 529, 447, 385, 117, 325, 173, 630, 261, 16, 241, 445, 612, 287, 813, 559, 305, 491, 183, 455, 292, 739, 17, 671, 19, 32, 231, 277, 406, 167, 653, 601, 185, 594, 372, 76, 419, 639, 75, 289, 123, 567, 873, 433, 825, 46, 708, 755, 311, 679, 171, 628, 736, 193, 196, 424, 5, 743, 757, 637, 237, 590, 615, 118, 673, 812, 545, 598, 278, 143, 232, 723, 600, 403, 605, 700, 159, 540, 846, 178, 299, 666, 489, 620, 246, 464, 175, 740, 851, 252, 640, 442, 446, 364, 326, 817, 180, 713, 149, 236, 121, 374, 282, 542, 716, 320, 831, 700, 804, 145, 238, 267, 809, 755, 578, 433, 163, 275, 581, 219, 517, 71, 782, 260, 657, 801, 421, 484, 123, 463, 136, 276, 327, 560, 230, 664, 340, 767, 873, 417, 541, 871, 60, 418, 814, 680, 741, 258, 238, 18, 508, 259, 750, 819, 847, 393, 148, 109, 83, 707, 622, 291, 642, 150, 88, 437, 538, 571, 485, 567, 503, 369, 512, 194, 582, 106, 50, 729, 756, 408, 768, 375, 503, 405, 570, 371, 323, 553, 593, 598, 875, 400, 374, 371, 644, 559, 296, 590, 13, 113, 212, 546, 488, 450, 783, 276, 473, 846, 874, 403, 413, 847, 89, 181, 89, 861, 45, 19, 165, 10, 79, 254, 419, 72, 1, 463, 2, 193, 547, 671, 255, 321, 364, 166, 508, 368, 692, 635, 597, 618, 244, 279, 189, 544, 548, 759, 721, 718, 774, 741, 383, 436, 0, 243, 820, 564, 624, 223, 116, 384, 569, 351, 535, 519, 119, 665, 126, 104, 330, 512, 17, 254, 655, 126, 43, 3, 316, 347, 223, 220, 792, 93, 30, 31, 730, 479, 243, 222, 601, 574, 804, 438, 85, 485, 271, 639, 763, 475, 670, 365, 198, 695, 602, 531, 704, 309, 853, 524, 547, 297, 813, 442, 28, 849, 836, 738, 587, 349, 46, 192, 287, 608, 6, 88, 740, 636, 385, 240, 584, 33, 844, 573, 659, 535, 98, 402, 167, 563, 134, 624, 777, 26, 382, 380, 25, 451, 793, 509, 500, 386, 55, 178, 413, 531, 697, 108, 604, 499, 207, 308, 793, 484, 677, 566, 493, 334, 867, 53, 63, 46, 595, 497, 297, 636, 262, 240, 754, 290, 535, 730, 243, 832, 299, 270, 172, 303, 356, 94, 151, 628, 169, 578, 169, 431, 342, 528, 537, 681, 267, 405, 136, 501, 739, 457, 247, 738, 661, 52, 110, 702, 27, 709, 427, 541, 685, 207, 723, 710, 684, 164, 16, 476, 332, 409, 814, 534, 766, 552, 866, 139, 14, 275, 91, 843, 81, 862, 638, 43, 191, 350, 526, 186, 638, 250, 826, 222, 437, 866, 230, 844, 386, 613, 319, 566, 390, 609, 772, 489, 770, 836, 403, 482, 610, 771, 822, 131, 798, 137, 625, 129, 25, 856, 67, 747, 359, 20, 397, 828, 128, 215, 478, 390, 272, 18, 781, 387, 36, 81, 829, 313, 475, 253, 455, 310, 441, 326, 389, 354, 582, 451, 735, 539, 706, 558, 693, 236, 335, 525, 103, 13, 471, 124, 821, 98, 605, 482, 427, 77, 335, 264, 308, 854, 499, 265, 534, 104, 681, 37, 453, 156, 802, 643, 803, 587, 806, 190, 798, 693, 651, 576, 564, 742, 559, 771, 456, 806, 152, 599, 193, 455, 490, 295, 603, 720, 337, 242, 117, 150, 333, 110, 50, 606, 281, 214, 656, 607, 474, 231, 132, 652, 341, 110, 113, 144, 865, 487, 754, 626, 350, 339, 731, 787, 840, 517, 329, 359, 409, 824, 832, 38, 304, 66, 162, 799, 295, 726, 650, 841, 34, 675, 392, 138, 67, 47, 487, 319, 550, 344, 147, 249, 599, 625, 641, 855, 522, 146, 641, 334, 420, 621, 423, 537, 87, 652, 44, 444, 678, 486, 747, 507, 793, 626, 269, 594, 814, 405, 796, 678, 682, 751, 404, 680, 309, 529}

    {548, 595, 463, 776, 269, 510, 815, 731, 414, 311, 593, 124, 769, 779, 761, 621, 379, 645, 789, 107, 440, 352, 580, 843, 732, 154, 373, 606, 515, 95, 709, 744, 869, 37, 800, 676, 857, 314, 396, 69, 481, 231, 812, 394, 737, 662, 694, 570, 191, 490, 688, 833, 48, 97, 60, 703, 759, 225, 801, 342, 3, 120, 536, 655, 724, 738, 21, 197, 870, 303, 142, 656, 333, 853, 227, 597, 114, 376, 136, 789, 745, 565, 787, 274, 39, 744, 216, 686, 634, 466, 431, 71, 716, 357, 497, 161, 1, 484, 870, 520, 96, 676, 698, 823, 288, 92, 210, 459, 551, 821, 206, 237, 78, 714, 636, 699, 837, 809, 204, 31, 407, 466, 473, 786, 780, 327, 691, 816, 191, 593, 15, 784, 530, 785, 324, 469, 557, 781, 714, 348, 105, 169, 507, 763, 524, 818, 830, 573, 201, 670, 851, 586, 602, 209, 64, 756, 761, 770, 691, 294, 731, 221, 353, 50, 759, 774, 38, 568, 879, 152, 560, 76, 346, 30, 79, 211, 124, 55, 418, 660, 583, 689, 428, 852, 259, 307, 615, 241, 790, 112, 511, 778, 297, 845, 22, 217, 201, 146, 809, 187, 399, 242, 271, 810, 532, 783, 176, 453, 792, 672, 97, 585, 811, 791, 66, 561, 596, 862, 870, 194, 724, 286, 692, 871, 468, 750, 35, 632, 609, 65, 726, 762, 86, 640, 777, 773, 725, 802, 422, 317, 282, 5, 331, 716, 642, 521, 827, 556, 229, 274, 511, 448, 106, 465, 469, 401, 495, 354, 199, 52, 339, 748, 467, 188, 86, 101, 101, 106, 495, 696, 448, 212, 525, 202, 489, 212, 412, 366, 215, 661, 24, 695, 213, 694, 271, 642, 75, 635, 701, 411, 443, 727, 131, 68, 508, 41, 146, 424, 381, 504, 832, 293, 708, 858, 723, 454, 589, 412, 192, 606, 634, 182, 387, 448, 190, 434, 693, 444, 224, 378, 388, 629, 74, 318, 707, 229, 440, 235, 722, 706, 859, 273, 199, 398, 277, 533, 69, 565, 701, 499, 501, 585, 435, 855, 48, 545, 182, 430, 283, 527, 79, 119, 170, 262, 577, 717, 249, 728, 727, 393, 337, 36, 223, 633, 418, 394, 80, 820, 554, 588, 707, 551, 218, 432, 388, 345, 874, 175, 705, 430, 306, 319, 713, 2, 395, 142, 357, 878, 154, 530, 728, 206, 138, 226, 401, 791, 158, 192, 298, 835, 81, 620, 122, 273, 714, 849, 137, 808, 174, 764, 232, 149, 360, 675, 486, 122, 285, 198, 576, 600, 557, 683, 394, 12, 769, 694, 248, 238, 195, 200, 73, 233, 75, 480, 467, 773, 467, 400, 523, 179, 682, 446, 328, 120, 631, 612, 111, 66, 722, 806, 307, 735, 180, 683, 797, 29, 92, 176, 785, 480, 322, 77, 796, 879, 760, 854, 662, 307, 10, 126, 151, 479, 381, 869, 205, 589, 371, 330, 346, 323, 651, 613, 377, 666, 799, 787, 416, 532, 439, 776, 361, 292, 494, 376, 91, 404, 257, 797, 869, 816, 556, 358, 823, 234, 234, 613, 492, 645, 332, 8, 302, 59, 698, 35, 314, 304, 775, 472, 355, 703, 526, 449, 543, 142, 649, 749, 678, 127, 842, 153, 173, 729, 202, 596, 211, 7, 864, 45, 157, 424, 561, 216, 712, 355, 829, 637, 591, 790, 349, 701, 224, 234, 244, 538, 370, 389, 643, 594, 436, 722, 872, 24, 653, 709, 641, 112, 452, 317, 285, 246, 786, 766, 399, 186, 523, 569, 392, 562, 31, 402, 135, 758, 661, 279, 116, 516, 229, 259, 197, 116, 397, 543, 164, 310, 267, 577, 456, 228, 805, 293, 213, 247, 474, 856, 868, 828, 847, 684, 449, 583, 435, 513, 24, 494, 73, 414, 540, 758, 720, 674, 546, 649, 873, 174, 382, 168, 510, 877, 338, 878, 432, 127, 302, 26, 11, 864, 461, 349, 562, 501, 29, 1, 822, 315, 279, 261, 789, 571, 697, 304, 685, 825, 329, 704, 610, 263, 407, 398, 280, 500, 268, 134, 239, 71, 649, 235, 768, 200, 361, 859, 483, 118, 502, 610, 311, 185, 688, 227, 107, 139, 228, 40, 634, 625, 423, 515, 59, 320, 99, 810, 130, 85, 291, 850, 788, 264, 57, 549, 247, 865, 611, 876, 387, 422, 838, 256, 524, 379, 363, 795, 370, 757, 94, 834, 321, 434, 11, 141, 756, 475, 59, 627, 141, 623, 472, 317, 310, 134, 528, 792, 176, 368, 414, 82, 599, 250, 855, 513, 85, 611, 72, 93, 586, 86, 33, 179, 672, 278, 278, 865, 130, 579, 531, 392, 215, 301, 821, 4, 506, 164, 506, 168, 562, 579, 7, 760, 590, 672, 343, 441, 200, 658, 252, 788, 313, 708, 108, 255, 216, 204, 218, 256, 872, 245, 466, 49, 257, 78, 705, 736, 313, 818, 185, 605, 53, 420, 6, 64, 468, 343, 827, 572, 153, 274, 170, 61, 162, 171, 523, 439, 505, 454, 218, 703, 399, 265, 830, 376, 114, 582, 217, 177, 457, 96, 555, 251, 660, 850, 580, 769, 145, 807, 269, 619, 871, 352, 345, 575, 324, 151, 539, 37, 877, 4, 794, 184, 251, 111, 205, 663, 470, 740, 839, 281, 8, 801, 585, 90, 49, 369, 753, 544, 61, 589, 503, 780, 70, 859, 745, 560, 381, 441, 375, 552, 800, 522, 325, 356, 770, 288, 190, 817, 719, 706, 63, 100, 115, 432, 245, 87, 43, 111, 4, 154, 45, 197, 291, 196, 253, 627, 294, 826, 133, 52, 437, 100, 201, 411, 289, 863, 306, 174, 181, 687, 556, 776, 34, 54, 518, 439, 872, 496, 226, 8, 61, 543, 428, 70, 781, 453, 147, 283, 542, 250, 375, 334, 824, 204, 39, 373, 64, 680, 657, 102, 762, 84, 491, 465, 837, 530, 797, 564, 458, 688, 542, 280, 779, 780, 525, 179, 552, 361, 173, 607, 878, 692, 458, 65, 841, 757, 842, 690, 658, 450, 522, 143, 572, 857, 363, 654, 748, 82, 369, 727, 614, 78, 862, 633, 284, 372, 312, 565, 820, 177, 72, 786, 443, 839, 485, 91, 239, 646, 233, 595, 684, 496, 813, 273, 737, 790, 217, 298, 445, 710, 511, 378, 48, 558, 7, 433, 133, 734, 844, 866, 544, 815, 808, 725, 765, 504, 835, 362, 94, 623, 629, 675, 130, 721, 713, 715, 260, 527, 681, 555, 341, 103, 57, 133, 393, 462, 182, 57, 835, 265, 58, 640, 696, 303, 9, 502, 479, 764, 138, 253, 588, 367, 127, 483, 38, 104, 55, 838, 626, 472, 322, 739, 514, 504, 521, 227, 850, 852, 746, 498, 458, 326, 554, 818, 12, 444, 476, 312, 496, 262, 99, 352, 767, 284, 711, 184, 160, 210, 752, 719, 840, 27, 340, 266, 574, 411, 690, 266, 356, 506, 572, 486, 732, 125, 286, 351, 388, 514, 614, 294, 63, 395, 427, 257, 664, 252, 520, 586, 519, 734, 462, 598, 671, 603, 762, 102, 358, 718, 561, 864, 195, 763, 2, 842, 687, 667, 811, 23, 618, 363, 648, 658, 409, 549, 318, 750, 663, 601, 765, 54, 15, 483, 157, 604, 337, 263, 434, 782, 494, 15, 481, 237, 719, 645, 263, 529, 148, 773, 140, 141, 627, 300, 224, 462, 728, 160, 650, 450, 327, 568, 47, 120, 210, 300, 264, 516, 308, 805, 123, 614, 44, 619, 553, 815, 783, 22, 362, 860, 23, 324, 528, 779, 355, 539, 615, 431, 398, 435, 826, 724, 498, 406, 571, 95, 288, 423, 838, 92, 766, 62, 788, 804, 3, 551, 268, 647, 863, 456, 828, 876, 858, 220, 505, 316, 665, 122, 100, 125, 697, 758, 336, 492, 99, 868, 21, 794, 370, 290, 236, 470, 249, 516, 477, 760, 35, 129, 386, 591, 266, 74, 775, 534, 533, 286, 644, 643, 717, 298, 507, 868, 802, 764, 6, 690, 302, 451, 502, 410, 668, 541, 580, 332, 345, 84, 823, 718, 328, 527, 235, 336, 323, 322, 650, 316, 663, 285, 98, 861, 452, 156, 654, 774, 261, 401, 40, 26}

    Returns: {0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0 }

  83. 916

    {383, 691, 496, 169, 348, 881, 339, 857, 642, 394, 161, 715, 538, 439, 314, 216, 414, 812, 766, 52, 170, 143, 619, 774, 794, 241, 320, 124, 571, 86, 94, 86, 483, 149, 375, 635, 830, 322, 892, 350, 490, 717, 756, 316, 574, 155, 499, 89, 501, 779, 888, 312, 331, 223, 873, 96, 842, 554, 515, 569, 249, 87, 463, 310, 907, 893, 16, 641, 315, 6, 243, 281, 602, 196, 138, 827, 555, 446, 560, 204, 552, 60, 201, 855, 120, 888, 364, 30, 83, 125, 367, 565, 376, 247, 167, 199, 432, 718, 458, 91, 80, 93, 670, 139, 483, 796, 185, 672, 838, 757, 616, 120, 751, 426, 160, 728, 188, 776, 233, 507, 668, 739, 897, 529, 1, 22, 586, 187, 358, 877, 2, 505, 384, 94, 772, 775, 904, 327, 147, 277, 653, 117, 333, 354, 328, 508, 799, 592, 175, 242, 347, 340, 183, 738, 781, 307, 476, 211, 130, 444, 334, 777, 517, 890, 283, 408, 666, 676, 869, 557, 518, 907, 23, 336, 380, 665, 166, 177, 306, 255, 156, 553, 11, 261, 178, 561, 759, 688, 689, 775, 425, 365, 648, 587, 817, 886, 855, 817, 804, 410, 502, 556, 658, 68, 401, 295, 494, 708, 624, 567, 168, 580, 74, 266, 603, 314, 779, 502, 524, 180, 159, 646, 792, 653, 818, 901, 871, 163, 194, 200, 696, 825, 695, 69, 408, 740, 543, 657, 477, 195, 178, 892, 341, 449, 724, 151, 406, 29, 328, 118, 467, 891, 419, 158, 891, 343, 112, 858, 663, 17, 563, 522, 773, 870, 141, 701, 252, 849, 596, 231, 443, 453, 557, 799, 371, 895, 632, 296, 481, 108, 723, 171, 864, 857, 365, 419, 733, 611, 522, 448, 717, 662, 281, 611, 285, 319, 866, 3, 22, 348, 110, 269, 371, 46, 245, 71, 322, 166, 133, 76, 336, 219, 622, 515, 816, 490, 905, 705, 626, 394, 741, 836, 339, 173, 584, 78, 813, 850, 127, 904, 313, 229, 307, 27, 662, 617, 208, 144, 306, 427, 724, 179, 756, 217, 500, 270, 847, 908, 378, 666, 451, 803, 848, 27, 381, 261, 148, 544, 426, 655, 688, 153, 629, 714, 436, 45, 762, 251, 308, 379, 722, 676, 51, 547, 757, 727, 124, 913, 401, 576, 589, 46, 510, 218, 28, 152, 257, 886, 671, 302, 115, 513, 815, 43, 411, 250, 118, 319, 437, 837, 826, 233, 581, 813, 172, 478, 467, 364, 209, 21, 603, 875, 606, 346, 354, 703, 311, 857, 680, 872, 231, 7, 557, 23, 738, 286, 205, 284, 746, 73, 87, 526, 489, 368, 223, 330, 598, 646, 183, 782, 511, 428, 429, 444, 821, 188, 94, 908, 412, 663, 634, 195, 410, 370, 567, 826, 899, 718, 881, 522, 752, 679, 41, 462, 157, 584, 480, 325, 903, 114, 575, 904, 12, 262, 677, 771, 768, 741, 646, 509, 71, 602, 169, 106, 104, 207, 253, 312, 47, 575, 747, 657, 75, 435, 888, 439, 76, 221, 352, 282, 834, 129, 217, 322, 123, 891, 649, 571, 422, 462, 181, 61, 362, 0, 868, 62, 123, 21, 51, 365, 155, 739, 282, 624, 897, 681, 836, 143, 513, 542, 751, 736, 832, 141, 291, 452, 835, 47, 437, 417, 180, 587, 753, 116, 111, 574, 626, 760, 889, 352, 218, 193, 726, 828, 861, 535, 790, 144, 897, 755, 510, 814, 30, 85, 404, 676, 40, 770, 204, 542, 506, 740, 546, 210, 747, 474, 338, 512, 469, 505, 276, 874, 247, 363, 369, 845, 125, 457, 484, 722, 850, 588, 645, 690, 846, 62, 26, 253, 889, 159, 537, 239, 243, 67, 432, 300, 826, 198, 352, 776, 109, 885, 318, 915, 723, 59, 725, 728, 208, 719, 634, 63, 211, 425, 334, 143, 550, 674, 754, 283, 821, 395, 273, 309, 492, 264, 605, 179, 731, 742, 356, 318, 293, 288, 19, 547, 130, 14, 206, 109, 62, 808, 239, 492, 311, 740, 287, 179, 454, 782, 670, 370, 363, 388, 715, 272, 23, 181, 91, 216, 443, 44, 415, 154, 485, 220, 258, 360, 858, 74, 915, 277, 266, 516, 762, 763, 461, 579, 126, 549, 283, 246, 805, 475, 249, 835, 384, 596, 44, 141, 75, 333, 443, 776, 585, 380, 487, 105, 643, 218, 483, 91, 137, 905, 661, 14, 140, 429, 770, 876, 384, 24, 436, 126, 387, 247, 202, 710, 598, 636, 669, 899, 878, 395, 26, 634, 337, 517, 482, 375, 711, 69, 127, 510, 461, 656, 485, 577, 140, 176, 592, 424, 361, 151, 49, 795, 74, 525, 914, 320, 58, 225, 893, 372, 42, 282, 192, 834, 279, 391, 819, 769, 163, 121, 579, 287, 162, 251, 84, 479, 399, 658, 514, 90, 421, 8, 297, 508, 730, 842, 420, 749, 629, 220, 303, 753, 148, 889, 413, 346, 578, 383, 238, 422, 809, 438, 771, 560, 35, 101, 353, 898, 104, 500, 787, 204, 514, 36, 774, 197, 93, 328, 503, 119, 827, 552, 78, 41, 257, 303, 493, 312, 573, 532, 714, 590, 273, 18, 784, 436, 627, 561, 842, 632, 45, 833, 103, 40, 132, 294, 139, 237, 278, 408, 780, 361, 812, 234, 158, 38, 464, 77, 520, 98, 330, 392, 456, 560, 309, 855, 799, 242, 604, 761, 594, 241, 593, 309, 636, 37, 380, 445, 67, 474, 348, 293, 534, 581, 147, 137, 499, 903, 554, 607, 15, 512, 299, 83, 49, 488, 381, 902, 709, 647, 369, 36, 56, 824, 863, 716, 831, 310, 832, 875, 431, 638, 3, 27, 545, 846, 912, 583, 147, 335, 317, 390, 214, 901, 471, 858, 859, 12, 743, 659, 469, 338, 472, 796, 695, 707, 415, 503, 720, 846, 594, 344, 703, 853, 644, 85, 116, 803, 152, 251, 713, 433, 128, 882, 198, 291, 339, 540, 849, 409, 300, 403, 6, 38, 306, 153, 467, 825, 612, 521, 852, 192, 335, 412, 591, 85, 55, 884, 359, 331, 909, 464, 433, 638, 503, 114, 163, 669, 214, 274, 103, 442, 323, 477, 66, 720, 805, 458, 197, 414, 713, 711, 229, 875, 792, 667, 42, 910, 438, 181, 428, 869, 399, 162, 226, 392, 570, 33, 53, 839, 913, 325, 731, 843, 19, 631, 896, 341, 729, 409, 894, 400, 379, 106, 279, 236, 458, 591, 608, 884, 117, 420, 706, 405, 568, 55, 796, 532, 268, 176, 863, 602, 261, 92, 276, 411, 391, 681, 574, 216, 77, 600, 435, 733, 149, 795, 243, 732, 705, 105, 280, 13, 60, 636, 663, 707, 455, 296, 894, 353, 848, 583, 685, 597, 378, 749, 37, 620, 619, 177, 777, 110, 685, 172, 479, 1, 379, 484, 255, 665, 253, 210, 160, 611, 496, 822, 127, 561, 539, 756, 287, 737, 76, 269, 708, 750, 139, 911, 869, 860, 230, 298, 142, 198, 754, 122, 203, 913, 478, 549, 847, 496, 56, 81, 812, 382, 303, 8, 763, 81, 767, 269, 454, 895, 209, 330, 368, 782, 37, 377, 476, 230, 231, 363, 489, 60, 545, 219, 524, 801, 808, 72, 64, 353, 601, 670, 843, 868, 354, 254, 177, 174, 195, 220, 405, 724, 507, 84, 645, 484, 618, 761, 497, 565, 280, 607, 344, 117, 90, 610, 564, 650, 890, 736, 871, 277, 135, 97, 606, 651, 687, 525, 382, 275, 19, 347, 337, 236, 156, 753, 784, 259, 40, 672, 57, 336, 207, 221, 420, 868, 260, 481, 537, 298, 559, 65, 439, 355, 873, 506, 368, 814, 112, 189, 221, 452, 821, 599, 79, 21, 133, 57, 594, 566, 55, 211, 427, 430, 331, 655, 310, 533, 701, 457, 709, 506, 233, 691, 115, 899, 660, 734, 850, 580, 512, 57, 708, 788, 167, 345, 249, 568, 761, 872, 688, 797, 657, 836, 263, 623, 224, 69, 872, 867, 108, 9, 173, 349, 124, 104, 885, 751, 570, 454, 444, 267, 531, 683, 759, 225, 66, 205, 580, 885, 462, 291, 725, 711, 623, 324, 207, 286, 570, 610, 203, 682, 110, 833, 559, 622, 429, 643, 78, 788, 160, 654, 297, 591, 142, 431, 286, 394, 862, 833, 699, 519, 487, 900, 350, 757, 403, 586, 12, 592, 552, 126, 135, 854, 155, 232, 4, 244, 289, 367, 852, 606, 671, 311, 402, 495, 465, 865, 189, 777, 653, 425, 100, 140, 631, 473}

    {798, 504, 780, 608, 67, 389, 129, 816, 712, 466, 153, 707, 476, 148, 494, 292, 639, 364, 460, 473, 182, 910, 815, 240, 882, 302, 911, 308, 238, 739, 769, 10, 475, 5, 186, 616, 96, 576, 714, 900, 509, 9, 536, 304, 235, 268, 132, 738, 329, 131, 263, 223, 319, 628, 52, 532, 305, 39, 901, 450, 482, 649, 459, 111, 880, 403, 470, 614, 438, 502, 854, 588, 254, 803, 610, 235, 464, 146, 641, 635, 849, 797, 595, 595, 284, 831, 212, 304, 378, 113, 538, 798, 775, 604, 128, 292, 134, 357, 430, 105, 763, 79, 41, 585, 456, 698, 131, 874, 905, 400, 228, 553, 349, 626, 356, 562, 729, 788, 808, 793, 686, 471, 534, 838, 262, 604, 115, 186, 595, 242, 434, 527, 187, 691, 95, 915, 518, 511, 232, 546, 64, 259, 385, 108, 271, 647, 747, 5, 571, 72, 10, 565, 865, 750, 810, 256, 785, 614, 389, 132, 440, 176, 820, 327, 325, 437, 449, 495, 655, 612, 28, 194, 411, 828, 82, 704, 178, 834, 274, 470, 797, 745, 226, 535, 165, 662, 305, 687, 447, 374, 617, 100, 39, 527, 618, 254, 358, 258, 113, 193, 637, 764, 263, 758, 509, 498, 700, 413, 206, 742, 321, 470, 407, 721, 191, 562, 61, 238, 258, 773, 398, 154, 616, 423, 184, 539, 459, 323, 271, 883, 856, 290, 340, 508, 521, 667, 162, 529, 185, 43, 4, 702, 122, 487, 551, 526, 80, 191, 907, 633, 781, 133, 760, 664, 816, 4, 0, 266, 47, 190, 191, 288, 758, 505, 370, 203, 678, 639, 862, 818, 9, 83, 49, 860, 792, 564, 398, 531, 471, 675, 50, 835, 494, 278, 492, 405, 259, 383, 121, 228, 659, 914, 548, 285, 541, 684, 633, 82, 486, 764, 409, 787, 635, 386, 54, 706, 230, 343, 637, 234, 240, 13, 387, 182, 530, 758, 529, 802, 820, 865, 237, 659, 455, 466, 387, 553, 63, 135, 89, 28, 392, 680, 680, 318, 430, 222, 675, 597, 887, 649, 685, 886, 787, 292, 338, 265, 265, 841, 453, 107, 273, 58, 424, 31, 548, 632, 674, 841, 820, 332, 237, 625, 811, 360, 784, 275, 453, 682, 227, 511, 614, 406, 275, 482, 342, 294, 137, 620, 682, 416, 572, 107, 294, 35, 103, 898, 735, 25, 24, 615, 902, 270, 440, 686, 791, 883, 840, 17, 623, 34, 878, 847, 811, 215, 730, 477, 814, 811, 612, 29, 244, 651, 346, 528, 690, 374, 735, 157, 579, 382, 545, 128, 859, 791, 388, 165, 465, 745, 427, 373, 906, 88, 600, 520, 692, 343, 14, 175, 466, 883, 890, 493, 114, 276, 199, 11, 71, 733, 468, 752, 896, 668, 416, 300, 878, 742, 716, 608, 584, 569, 145, 321, 48, 882, 278, 389, 265, 241, 745, 463, 800, 285, 533, 605, 694, 201, 807, 687, 861, 652, 316, 419, 794, 445, 226, 490, 593, 413, 202, 267, 146, 2, 8, 630, 866, 856, 766, 726, 32, 783, 469, 684, 357, 193, 877, 530, 669, 154, 798, 794, 566, 712, 82, 182, 442, 703, 491, 501, 748, 804, 262, 10, 122, 744, 205, 806, 45, 526, 480, 910, 308, 876, 650, 523, 877, 272, 902, 781, 572, 791, 68, 870, 418, 485, 280, 827, 324, 755, 864, 214, 525, 320, 588, 783, 697, 248, 326, 752, 431, 786, 699, 810, 547, 63, 423, 80, 562, 575, 228, 564, 569, 478, 164, 806, 513, 749, 234, 517, 421, 587, 499, 125, 486, 630, 555, 33, 100, 351, 880, 136, 601, 673, 111, 393, 898, 829, 768, 822, 728, 79, 315, 823, 618, 764, 800, 33, 825, 432, 566, 225, 202, 661, 342, 376, 151, 210, 590, 824, 296, 643, 428, 215, 722, 222, 619, 723, 765, 856, 317, 302, 734, 660, 264, 677, 874, 451, 1, 760, 678, 290, 673, 400, 536, 121, 92, 769, 434, 98, 423, 145, 620, 860, 44, 113, 350, 642, 737, 786, 2, 257, 48, 845, 435, 568, 686, 823, 417, 15, 779, 199, 709, 651, 388, 175, 129, 631, 361, 664, 710, 456, 374, 119, 101, 817, 853, 313, 219, 256, 245, 696, 260, 528, 778, 299, 30, 809, 186, 24, 245, 837, 329, 448, 839, 390, 212, 362, 666, 61, 15, 613, 299, 185, 535, 912, 150, 301, 334, 768, 800, 721, 375, 412, 789, 452, 881, 22, 810, 736, 372, 633, 906, 337, 290, 851, 402, 507, 397, 697, 504, 187, 765, 621, 750, 727, 640, 491, 377, 367, 867, 301, 268, 550, 524, 442, 627, 582, 863, 35, 702, 576, 366, 589, 840, 98, 698, 335, 396, 326, 599, 624, 645, 504, 386, 695, 307, 358, 59, 68, 617, 159, 896, 449, 7, 718, 851, 29, 689, 549, 213, 355, 404, 332, 581, 609, 679, 754, 621, 700, 692, 297, 174, 541, 6, 340, 171, 537, 737, 174, 613, 81, 520, 39, 690, 460, 536, 333, 167, 180, 540, 72, 593, 7, 433, 573, 625, 164, 730, 497, 250, 474, 95, 692, 229, 830, 743, 844, 376, 762, 355, 224, 209, 743, 236, 248, 839, 772, 267, 559, 498, 622, 473, 396, 481, 909, 582, 693, 212, 460, 914, 54, 369, 870, 704, 694, 725, 802, 407, 578, 598, 201, 480, 656, 486, 871, 563, 260, 822, 301, 866, 385, 3, 629, 693, 488, 556, 527, 447, 445, 87, 227, 295, 172, 152, 161, 719, 861, 607, 136, 99, 168, 356, 586, 717, 696, 20, 652, 399, 700, 468, 397, 658, 731, 778, 239, 447, 555, 879, 599, 818, 648, 893, 639, 746, 240, 418, 70, 640, 780, 86, 876, 99, 351, 664, 748, 683, 766, 823, 767, 288, 43, 102, 683, 501, 554, 603, 735, 829, 18, 150, 215, 190, 138, 648, 36, 463, 790, 271, 169, 134, 197, 116, 783, 164, 523, 523, 912, 637, 272, 142, 189, 597, 567, 884, 70, 17, 741, 828, 671, 543, 813, 362, 859, 771, 377, 572, 20, 660, 578, 395, 345, 46, 746, 32, 887, 518, 88, 386, 667, 785, 244, 832, 892, 491, 583, 807, 424, 119, 472, 385, 131, 256, 50, 628, 719, 772, 321, 519, 654, 188, 705, 795, 34, 609, 441, 809, 615, 819, 744, 66, 53, 793, 774, 414, 837, 366, 31, 327, 289, 489, 224, 360, 654, 90, 627, 908, 744, 304, 25, 89, 853, 42, 13, 5, 677, 407, 25, 248, 785, 498, 417, 64, 59, 495, 217, 801, 31, 20, 544, 778, 170, 516, 551, 313, 642, 252, 461, 558, 118, 109, 668, 190, 675, 138, 704, 173, 729, 732, 145, 136, 168, 371, 829, 867, 790, 694, 34, 551, 601, 398, 531, 767, 194, 16, 806, 323, 681, 548, 541, 0, 93, 415, 158, 582, 293, 359, 359, 500, 830, 97, 102, 52, 410, 488, 146, 911, 281, 274, 699, 418, 540, 661, 171, 712, 621, 446, 515, 95, 721, 585, 373, 332, 563, 406, 710, 698, 96, 130, 88, 99, 844, 451, 900, 448, 684, 577, 416, 184, 854, 342, 156, 184, 640, 693, 734, 446, 123, 206, 665, 213, 497, 404, 895, 393, 786, 421, 638, 715, 53, 755, 732, 493, 222, 678, 514, 516, 402, 48, 422, 819, 475, 200, 544, 357, 366, 50, 805, 315, 101, 26, 573, 213, 596, 689, 54, 396, 613, 73, 441, 577, 450, 716, 759, 558, 317, 305, 841, 824, 804, 196, 341, 401, 381, 391, 542, 615, 157, 628, 726, 314, 789, 647, 789, 324, 450, 264, 144, 170, 161, 673, 472, 801, 600, 479, 75, 530, 894, 720, 32, 18, 641, 232, 702, 852, 679, 252, 351, 150, 802, 441, 347, 270, 316, 879, 397, 326, 77, 120, 255, 697, 58, 862, 589, 880, 459, 706, 102, 345, 73, 192, 558, 838, 51, 831, 521, 65, 674, 373, 440, 393, 748, 550, 106, 227, 11, 701, 289, 539, 434, 295, 770, 208, 851, 65, 70, 538, 246, 16, 644, 556, 656, 165, 183, 390, 426, 773, 590, 112, 196, 644, 652, 845, 519, 864, 727, 713, 650, 903, 909, 298, 543, 534, 533, 887, 246, 166, 848, 97, 56, 134, 793, 107, 200, 344, 279, 840, 879, 457, 149, 546, 38, 284, 630, 605, 906, 844, 329, 349, 92, 455, 465, 468, 250, 807, 235, 528, 765, 625, 372, 843, 84, 672, 815, 609, 873}

    Returns: {0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0 }

  84. 824

    {534, 724, 643, 110, 439, 538, 572, 411, 792, 292, 79, 767, 823, 349, 82, 732, 562, 62, 72, 675, 296, 297, 775, 28, 585, 567, 399, 570, 817, 453, 337, 177, 619, 799, 183, 576, 302, 413, 399, 122, 12, 430, 571, 5, 574, 437, 147, 712, 685, 24, 415, 632, 756, 342, 119, 736, 785, 127, 752, 440, 457, 174, 572, 432, 317, 560, 650, 273, 476, 471, 103, 617, 358, 306, 206, 255, 45, 470, 623, 208, 741, 436, 85, 807, 264, 252, 812, 57, 331, 463, 707, 739, 552, 344, 547, 74, 753, 548, 500, 655, 500, 156, 205, 48, 531, 621, 606, 212, 759, 661, 551, 72, 713, 322, 61, 269, 562, 47, 752, 677, 790, 115, 293, 175, 52, 508, 779, 811, 637, 292, 123, 473, 65, 738, 798, 781, 96, 480, 747, 356, 644, 4, 387, 289, 704, 361, 322, 755, 618, 413, 703, 240, 754, 720, 568, 239, 342, 710, 223, 591, 135, 797, 428, 605, 738, 315, 705, 406, 695, 396, 479, 795, 777, 237, 192, 454, 551, 187, 480, 263, 544, 187, 697, 298, 486, 11, 592, 95, 148, 744, 229, 313, 7, 681, 64, 248, 63, 2, 517, 11, 348, 45, 365, 748, 226, 4, 746, 162, 465, 133, 9, 711, 640, 437, 488, 468, 688, 107, 717, 7, 334, 820, 558, 614, 430, 595, 254, 66, 594, 518, 104, 396, 369, 316, 421, 516, 25, 219, 796, 789, 322, 481, 341, 182, 574, 80, 456, 15, 496, 181, 615, 793, 542, 739, 253, 744, 689, 582, 473, 751, 523, 389, 115, 276, 817, 239, 246, 410, 410, 506, 620, 387, 106, 390, 701, 576, 137, 138, 802, 43, 694, 210, 338, 715, 665, 444, 599, 201, 243, 651, 249, 390, 159, 181, 722, 164, 189, 683, 94, 684, 809, 262, 727, 318, 764, 321, 533, 268, 20, 172, 438, 499, 113, 114, 278, 264, 642, 142, 597, 751, 8, 146, 219, 423, 244, 189, 621, 114, 525, 661, 34, 362, 375, 192, 57, 120, 671, 709, 498, 136, 652, 607, 359, 663, 28, 674, 421, 647, 44, 513, 237, 251, 690, 367, 379, 372, 360, 17, 63, 425, 448, 148, 6, 84, 785, 235, 685, 335, 202, 723, 778, 0, 569, 141, 311, 216, 460, 217, 674, 591, 663, 763, 509, 166, 550, 333, 703, 346, 550, 657, 433, 172, 645, 456, 178, 360, 686, 511, 798, 672, 683, 229, 330, 228, 244, 689, 259, 139, 641, 234, 487, 364, 551, 305, 493, 649, 462, 419, 308, 94, 684, 242, 355, 324, 790, 412, 379, 669, 758, 199, 751, 388, 718, 425, 248, 276, 675, 134, 97, 543, 266, 205, 472, 740, 469, 337, 374, 257, 350, 46, 474, 107, 496, 368, 335, 707, 634, 378, 467, 302, 170, 53, 544, 808, 820, 150, 533, 712, 763, 69, 92, 615, 7, 255, 631, 490, 687, 372, 442, 215, 383, 356, 28, 270, 477, 314, 499, 598, 268, 628, 169, 177, 726, 560, 476, 343, 111, 302, 243, 446, 817, 199, 35, 571, 520, 423, 201, 29, 314, 195, 816, 165, 108, 104, 204, 232, 171, 500, 422, 66, 2, 413, 784, 528, 820, 33, 475, 577, 768, 665, 165, 275, 651, 197, 761, 274, 430, 318, 308, 365, 643, 223, 175, 730, 144, 696, 822, 486, 490, 408, 704, 512, 816, 106, 81, 541, 638, 332, 233, 227, 83, 521, 323, 644, 37, 679, 608, 609, 242, 460, 246, 30, 414, 572, 586, 509, 137, 589, 37, 671, 51, 667, 416, 805, 651, 624, 278, 747, 517, 588, 783, 474, 696, 363, 653, 628, 688, 120, 822, 289, 306, 158, 333, 677, 143, 482, 86, 111, 273, 576, 640, 511, 409, 327, 58, 461, 744, 118, 619, 717, 379, 539, 289, 518, 750, 693, 412, 756, 67, 76, 507, 704, 83, 68, 215, 228, 164, 699, 462, 398, 208, 358, 497, 401, 511, 116, 370, 241, 65, 59, 528, 686, 273, 466, 377, 779, 804, 482, 501, 267, 227, 773, 0, 745, 557, 182, 166, 440, 575, 120, 340, 238, 479, 393, 645, 323, 59, 698, 633, 596, 656, 638, 431, 300, 758, 449, 778, 38, 454, 791, 821, 815, 695, 463, 263, 403, 621, 162, 562, 101, 153, 399, 660, 130, 590, 539, 533, 802, 228, 471, 359, 518, 291, 166, 134, 208, 110, 493, 415, 732, 449, 506, 213, 479, 92, 702, 202, 715, 175, 627, 3, 155, 780, 272, 783, 249, 359, 86, 199, 364, 823, 703, 684, 206, 34, 583, 330, 272, 329, 52, 766, 753, 584, 343, 74, 185, 438, 344, 821, 705, 89, 504, 633, 639, 262, 391, 405, 729, 241, 319, 10, 417, 373, 524, 170, 111, 574, 555, 566, 113, 730, 63, 307, 68, 611, 176, 251, 207, 165, 760, 550, 443, 520, 592, 549, 567, 129, 691, 281, 197, 126, 447, 761, 470, 145, 88, 613, 251, 275, 763, 735, 351, 405, 795, 702, 481, 435, 590, 23, 11, 423, 823, 552, 29, 154, 216, 559, 38, 365, 710, 360, 777, 304, 752, 808, 722, 774, 315, 102, 195, 506, 66, 383, 553, 736, 61, 792, 231, 620, 158, 603, 313, 601, 151, 146, 753, 685, 142, 421, 371, 573, 530, 591, 72, 237, 799, 579, 515, 186, 436, 697, 729, 5, 210, 566, 593, 328, 380, 21, 801, 212, 734, 304, 764, 9, 661, 247, 503, 676, 62, 514, 190, 690, 693, 4, 196, 664, 483, 236, 191, 745, 27, 666, 256, 716, 215, 532, 512, 507, 154, 774, 141, 309, 540, 434, 797, 794, 338, 147, 503, 531, 52, 445, 446, 104, 293, 9, 563, 168, 444, 17, 775, 200, 211, 50, 786, 711, 660, 23, 252, 593, 822, 597, 259, 222, 624, 698, 54, 377, 314, 510, 256, 427, 5, 610, 492, 198, 307, 729, 629, 419, 85, 623, 71, 257, 357, 46, 697, 99, 529, 331, 643, 419, 125, 51, 206, 0, 45, 168, 694, 497, 253, 320, 809, 581, 134, 427, 528, 698, 516, 547, 409, 772, 38, 47, 567, 464, 33, 599, 743, 448, 431, 775, 213, 538, 655, 60, 783, 274, 375, 780, 420, 665, 612, 508, 234, 338, 738, 16, 90, 601, 613, 76, 103, 435, 84, 444, 442, 19, 334, 692, 764, 646, 299, 296, 810, 173, 55, 168, 227, 432, 690, 91, 519, 98, 463, 630, 375, 469, 12, 611, 565, 174, 159, 184, 350, 791, 608, 607, 309, 639, 529, 706, 470, 81, 691, 235, 446, 543, 540, 319, 402, 225, 13, 740, 352, 580, 629, 26, 170, 459, 628, 721, 35, 695, 761, 521, 552, 441, 602, 317, 706, 301, 614, 78, 596, 362, 568, 102, 536, 803, 297, 692, 180, 93, 746, 514, 730, 369, 304, 184, 719, 55, 787, 139, 335, 343, 723, 241, 22, 545, 386, 200, 409, 705, 236, 441, 736, 492, 595, 161, 487, 408, 662, 310, 773, 637, 303, 25, 600, 400, 792, 77, 514, 477, 85, 757, 324, 222, 784, 158, 75, 82, 490, 337, 129, 278, 224, 315, 538, 88, 630, 159, 708, 284, 331, 23, 283, 714, 357, 154, 480, 121, 310, 163, 530, 466, 355, 177, 189, 346, 549, 378, 513, 807, 505, 36, 405, 276, 777, 269, 130, 691, 547, 361, 492, 476, 270, 450, 320, 181, 733, 686, 147, 768, 709, 545, 673, 163, 653, 135, 542, 457, 798, 571, 641, 766, 491, 317, 86, 716, 468, 493, 648, 193, 485, 297, 41, 681, 349, 468, 106, 620, 311, 411, 663}

    {290, 179, 246, 325, 294, 341, 796, 787, 16, 385, 443, 611, 204, 742, 142, 236, 674, 254, 103, 299, 109, 16, 811, 123, 361, 64, 416, 630, 610, 325, 461, 603, 131, 815, 275, 563, 707, 681, 176, 188, 662, 144, 303, 469, 605, 381, 185, 203, 595, 556, 503, 188, 616, 701, 182, 638, 260, 807, 186, 328, 570, 642, 645, 35, 84, 575, 81, 169, 231, 555, 221, 157, 50, 393, 800, 717, 22, 437, 245, 780, 160, 24, 521, 243, 680, 789, 29, 584, 570, 116, 328, 659, 453, 682, 398, 153, 157, 277, 188, 434, 719, 248, 507, 749, 393, 282, 432, 271, 776, 383, 160, 224, 125, 672, 505, 501, 371, 566, 485, 152, 151, 414, 546, 396, 329, 788, 429, 561, 118, 515, 194, 186, 230, 526, 334, 530, 449, 819, 650, 364, 40, 290, 240, 742, 739, 708, 222, 517, 537, 145, 325, 392, 770, 112, 581, 400, 19, 119, 280, 699, 153, 21, 184, 585, 601, 734, 261, 307, 284, 296, 478, 700, 467, 667, 759, 131, 741, 234, 555, 786, 569, 580, 389, 140, 737, 642, 743, 636, 532, 319, 151, 750, 232, 544, 670, 13, 351, 363, 725, 144, 178, 680, 653, 266, 287, 435, 171, 664, 790, 425, 438, 253, 598, 687, 107, 48, 806, 755, 352, 795, 79, 180, 60, 640, 474, 267, 194, 385, 809, 13, 541, 491, 510, 355, 679, 794, 87, 631, 100, 731, 374, 649, 395, 769, 557, 247, 398, 604, 612, 586, 26, 105, 98, 376, 20, 472, 392, 282, 606, 747, 431, 458, 455, 293, 384, 371, 22, 583, 771, 759, 485, 204, 272, 130, 678, 757, 321, 756, 721, 791, 3, 99, 602, 668, 524, 734, 447, 351, 14, 534, 524, 167, 669, 404, 78, 348, 627, 279, 71, 178, 116, 121, 769, 340, 3, 683, 252, 287, 49, 354, 731, 545, 285, 54, 773, 733, 648, 676, 161, 95, 149, 119, 806, 87, 658, 26, 529, 67, 671, 664, 329, 194, 559, 776, 70, 388, 124, 69, 424, 345, 451, 238, 97, 724, 93, 239, 582, 750, 49, 294, 581, 607, 242, 152, 609, 586, 459, 713, 68, 260, 373, 80, 46, 313, 133, 484, 491, 417, 735, 31, 14, 324, 489, 593, 757, 179, 91, 74, 527, 549, 179, 531, 114, 677, 333, 342, 110, 326, 19, 1, 732, 594, 100, 209, 164, 41, 673, 462, 504, 256, 137, 429, 185, 420, 675, 387, 420, 477, 590, 546, 180, 708, 223, 454, 624, 207, 386, 125, 193, 682, 348, 140, 133, 51, 714, 77, 460, 257, 250, 27, 810, 294, 742, 785, 127, 580, 658, 390, 799, 288, 633, 494, 622, 800, 31, 644, 394, 565, 101, 406, 626, 401, 726, 326, 150, 339, 669, 424, 128, 501, 65, 767, 233, 56, 88, 265, 171, 502, 306, 126, 725, 796, 447, 502, 210, 612, 381, 404, 598, 89, 162, 818, 362, 59, 90, 508, 451, 614, 427, 346, 451, 422, 797, 336, 53, 513, 233, 196, 127, 786, 768, 787, 280, 782, 627, 25, 804, 541, 588, 706, 466, 721, 802, 812, 392, 700, 149, 740, 220, 515, 354, 569, 625, 583, 754, 60, 749, 353, 625, 75, 610, 128, 748, 143, 498, 145, 626, 720, 587, 39, 118, 160, 267, 344, 626, 694, 577, 75, 235, 94, 659, 318, 578, 1, 636, 812, 658, 39, 489, 20, 101, 263, 295, 58, 722, 781, 157, 814, 50, 814, 680, 458, 18, 520, 404, 762, 279, 378, 56, 55, 366, 568, 494, 117, 266, 654, 345, 636, 488, 788, 720, 260, 556, 172, 39, 368, 803, 161, 353, 349, 754, 113, 678, 774, 522, 395, 464, 592, 499, 415, 407, 115, 557, 73, 556, 40, 403, 733, 305, 502, 43, 218, 718, 332, 261, 443, 789, 716, 762, 483, 416, 646, 380, 18, 724, 760, 301, 397, 414, 209, 558, 298, 376, 725, 804, 354, 564, 401, 504, 800, 410, 543, 652, 578, 70, 229, 455, 279, 440, 564, 44, 345, 366, 625, 535, 600, 536, 196, 261, 268, 112, 418, 510, 770, 553, 131, 632, 211, 305, 128, 442, 312, 467, 285, 450, 498, 765, 765, 619, 609, 452, 97, 203, 594, 36, 622, 582, 618, 400, 330, 723, 205, 403, 190, 495, 615, 412, 78, 195, 819, 815, 156, 497, 367, 190, 728, 635, 801, 73, 245, 589, 192, 353, 369, 755, 124, 117, 258, 109, 218, 40, 312, 198, 666, 340, 579, 224, 434, 320, 818, 240, 453, 548, 270, 93, 771, 42, 366, 452, 821, 737, 608, 377, 597, 211, 83, 746, 220, 254, 560, 316, 347, 748, 668, 140, 32, 54, 587, 92, 660, 167, 265, 654, 737, 347, 274, 585, 819, 389, 327, 422, 386, 668, 201, 584, 494, 259, 481, 108, 32, 701, 347, 553, 489, 397, 670, 589, 688, 657, 483, 709, 700, 129, 687, 132, 487, 191, 391, 523, 793, 457, 455, 67, 599, 426, 321, 136, 301, 207, 648, 519, 689, 247, 299, 546, 70, 12, 231, 332, 769, 341, 523, 277, 402, 670, 56, 367, 126, 542, 418, 776, 292, 537, 218, 155, 573, 714, 765, 702, 311, 6, 336, 33, 779, 727, 617, 564, 811, 781, 527, 212, 679, 191, 221, 646, 291, 486, 385, 402, 58, 47, 193, 173, 803, 30, 417, 269, 42, 496, 654, 772, 258, 692, 24, 77, 618, 148, 300, 561, 123, 102, 167, 298, 230, 534, 339, 537, 522, 433, 397, 784, 813, 1, 428, 616, 316, 745, 112, 176, 187, 536, 265, 459, 271, 250, 484, 411, 656, 350, 563, 105, 62, 382, 76, 475, 15, 8, 285, 505, 258, 525, 676, 673, 217, 262, 554, 49, 472, 284, 149, 150, 213, 226, 238, 394, 448, 64, 762, 57, 788, 478, 374, 388, 286, 384, 710, 728, 639, 308, 291, 368, 36, 535, 408, 634, 464, 603, 30, 806, 429, 805, 214, 713, 17, 657, 122, 666, 637, 772, 461, 629, 44, 794, 363, 667, 10, 439, 771, 217, 27, 209, 535, 61, 778, 458, 808, 655, 526, 232, 132, 801, 183, 82, 577, 395, 450, 728, 512, 743, 155, 526, 418, 766, 484, 588, 225, 173, 198, 295, 139, 558, 699, 554, 578, 290, 647, 715, 602, 678, 693, 277, 696, 659, 244, 370, 441, 286, 124, 540, 711, 280, 121, 310, 87, 382, 2, 735, 662, 286, 71, 53, 816, 90, 741, 394, 42, 91, 617, 32, 48, 406, 282, 391, 381, 810, 631, 726, 197, 200, 573, 622, 473, 604, 156, 122, 255, 225, 376, 100, 79, 41, 326, 108, 606, 712, 96, 522, 80, 95, 656, 336, 760, 641, 407, 37, 183, 34, 433, 382, 152, 219, 323, 616, 105, 452, 8, 445, 220, 478, 548, 672, 632, 525, 516, 635, 141, 439, 135, 488, 214, 652, 18, 283, 623, 647, 245, 650, 312, 600, 109, 287, 793, 682, 559, 814, 818, 264, 782, 519, 146, 527, 465, 731, 98, 635, 143, 73, 281, 428, 532, 300, 249, 561, 21, 436, 424, 136, 221, 69, 482, 770, 805, 634, 356, 203, 202, 649, 288, 465, 250, 15, 471, 358, 43, 303, 138, 565, 89, 6, 539, 495, 613, 96, 226, 14, 271, 554, 509, 604, 596, 339, 10, 99, 456, 605, 727, 767, 719, 357, 813, 372, 214, 283, 380, 384, 352, 169, 288, 782, 407, 31, 445, 117, 230, 163, 495, 579, 370, 575, 758, 138, 749, 373, 174, 587, 426, 295, 309, 132, 718, 475, 281, 426, 327, 813, 216}

    Returns: {1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1 }

  85. 896

    {57, 486, 179, 340, 580, 84, 893, 765, 34, 413, 813, 790, 229, 880, 402, 50, 271, 871, 154, 874, 18, 730, 441, 868, 184, 238, 781, 842, 488, 350, 533, 164, 173, 649, 869, 644, 729, 202, 838, 656, 713, 63, 856, 412, 359, 531, 556, 807, 805, 90, 43, 426, 758, 894, 598, 10, 606, 260, 191, 815, 753, 433, 417, 774, 484, 610, 286, 778, 129, 344, 346, 56, 647, 852, 176, 447, 145, 547, 77, 879, 416, 895, 151, 746, 850, 472, 799, 41, 598, 881, 183, 210, 508, 401, 500, 670, 166, 187, 273, 597, 296, 27, 517, 563, 405, 663, 200, 394, 510, 344, 810, 8, 616, 739, 586, 829, 88, 65, 611, 275, 308, 369, 805, 676, 573, 173, 621, 287, 760, 422, 192, 639, 818, 305, 62, 832, 455, 651, 719, 204, 488, 732, 645, 491, 0, 561, 793, 246, 894, 767, 799, 646, 632, 160, 293, 643, 385, 642, 362, 677, 721, 724, 565, 721, 139, 482, 462, 709, 115, 56, 128, 856, 555, 216, 97, 40, 462, 612, 169, 813, 639, 783, 862, 245, 703, 728, 225, 203, 861, 193, 692, 52, 520, 868, 827, 633, 240, 325, 27, 259, 651, 360, 527, 104, 871, 81, 684, 520, 152, 673, 673, 636, 617, 300, 527, 687, 365, 92, 267, 498, 515, 465, 525, 682, 618, 67, 475, 758, 269, 311, 843, 307, 753, 390, 823, 763, 848, 131, 847, 37, 605, 652, 50, 863, 887, 215, 722, 109, 19, 429, 534, 458, 161, 593, 235, 96, 761, 277, 717, 299, 691, 797, 781, 293, 265, 860, 327, 777, 149, 549, 129, 146, 217, 473, 606, 638, 296, 541, 298, 161, 40, 641, 376, 331, 263, 593, 30, 575, 76, 289, 120, 660, 603, 873, 747, 719, 219, 774, 628, 72, 704, 789, 470, 452, 674, 840, 789, 512, 5, 538, 351, 36, 101, 734, 409, 237, 21, 752, 408, 849, 469, 672, 132, 268, 258, 106, 16, 313, 162, 92, 64, 590, 351, 2, 358, 96, 574, 79, 661, 145, 683, 81, 203, 218, 141, 734, 181, 195, 159, 664, 441, 297, 559, 485, 38, 572, 744, 829, 767, 648, 515, 324, 173, 407, 310, 460, 305, 863, 606, 489, 654, 860, 17, 814, 668, 220, 414, 496, 618, 132, 706, 511, 392, 88, 723, 299, 123, 411, 812, 660, 633, 467, 98, 640, 308, 167, 492, 282, 156, 816, 700, 594, 238, 501, 67, 262, 376, 117, 179, 577, 225, 585, 40, 487, 21, 644, 579, 727, 796, 496, 881, 814, 743, 604, 118, 580, 148, 872, 621, 863, 877, 28, 728, 830, 54, 537, 350, 115, 502, 612, 336, 780, 201, 709, 697, 702, 122, 546, 181, 598, 165, 55, 101, 497, 234, 531, 827, 121, 58, 711, 403, 389, 601, 207, 696, 711, 680, 884, 881, 251, 842, 106, 126, 205, 206, 321, 521, 284, 209, 339, 130, 70, 323, 623, 550, 423, 624, 55, 426, 260, 349, 68, 869, 4, 398, 190, 223, 31, 806, 404, 650, 162, 265, 741, 790, 270, 289, 451, 856, 600, 280, 460, 849, 408, 841, 592, 32, 276, 753, 712, 178, 30, 891, 636, 750, 609, 623, 879, 487, 240, 73, 681, 285, 801, 318, 380, 780, 366, 615, 643, 668, 232, 852, 770, 42, 686, 599, 619, 20, 883, 363, 289, 33, 169, 5, 637, 160, 281, 837, 895, 818, 410, 65, 321, 893, 374, 262, 743, 50, 295, 323, 167, 373, 387, 520, 677, 820, 46, 77, 634, 754, 676, 650, 258, 450, 546, 290, 729, 58, 22, 17, 696, 495, 620, 732, 643, 77, 714, 874, 476, 329, 832, 157, 721, 280, 824, 786, 86, 888, 557, 282, 278, 589, 619, 255, 608, 674, 499, 745, 375, 704, 751, 99, 214, 850, 817, 807, 588, 676, 640, 318, 223, 494, 647, 336, 735, 260, 152, 192, 206, 550, 742, 295, 827, 118, 627, 183, 205, 511, 646, 779, 409, 485, 601, 686, 816, 509, 393, 66, 751, 498, 584, 293, 212, 704, 219, 823, 37, 436, 39, 48, 440, 561, 657, 420, 832, 159, 735, 884, 185, 151, 715, 476, 666, 714, 702, 217, 320, 762, 220, 390, 306, 78, 226, 470, 250, 170, 410, 30, 136, 283, 842, 603, 854, 537, 711, 78, 400, 74, 603, 521, 13, 105, 164, 1, 80, 143, 590, 51, 305, 269, 885, 62, 551, 308, 592, 66, 382, 0, 620, 653, 565, 171, 561, 774, 869, 176, 26, 848, 312, 715, 528, 74, 662, 591, 831, 649, 698, 224, 352, 136, 465, 775, 464, 432, 636, 727, 333, 517, 315, 108, 764, 52, 724, 452, 590, 462, 655, 249, 549, 35, 357, 4, 688, 453, 379, 452, 191, 374, 67, 190, 707, 360, 527, 618, 379, 791, 792, 745, 479, 691, 21, 138, 616, 712, 48, 343, 53, 776, 535, 375, 53, 319, 879, 307, 135, 867, 45, 635, 147, 768, 413, 356, 405, 211, 695, 529, 632, 382, 845, 657, 604, 737, 206, 635, 523, 324, 248, 804, 235, 216, 515, 479, 463, 653, 177, 854, 772, 226, 641, 182, 212, 508, 328, 288, 652, 718, 726, 516, 228, 188, 380, 841, 467, 268, 114, 313, 570, 795, 723, 209, 63, 798, 378, 314, 34, 530, 364, 115, 503, 60, 507, 212, 780, 381, 821, 428, 483, 364, 341, 61, 751, 795, 433, 19, 216, 46, 829, 361, 620, 414, 35, 257, 685, 5, 84, 572, 140, 291, 345, 729, 629, 589, 72, 718, 276, 227, 304, 588, 288, 262, 565, 284, 282, 261, 851, 238, 833, 90, 145, 649, 49, 54, 673, 868, 776, 853, 363, 787, 653, 659, 407, 484, 79, 779, 762, 156, 539, 233, 495, 571, 398, 199, 681, 759, 688, 355, 659, 41, 323, 144, 558, 699, 836, 447, 412, 521, 291, 535, 628, 792, 546, 122, 150, 169, 738, 859, 478, 232, 118, 768, 760, 476, 467, 697, 767, 437, 220, 717, 735, 683, 519, 547, 891, 340, 311, 247, 355, 509, 635, 640, 163, 644, 403, 468, 505, 826, 814, 146, 857, 534, 196, 144, 698, 124, 34, 583, 429, 757, 272, 249, 756, 852, 811, 458, 678, 638, 243, 440, 387, 595, 471, 789, 872, 389, 339, 786, 670, 341, 106, 867, 14, 701, 373, 233, 253, 522, 750, 662, 299, 105, 202, 171, 539, 892, 227, 694, 567, 230, 436, 369, 252, 116, 58, 91, 784, 102, 93, 454, 184, 726, 626, 142, 211, 223, 880, 508, 583, 859, 448, 688, 99, 656, 160, 434, 342, 41, 544, 20, 893, 166, 142, 542, 489, 329, 76, 674, 837, 612, 177, 755, 294, 559, 859, 741, 403, 708, 497, 703, 112, 466, 72, 87, 277, 181, 354, 396, 622, 259, 215, 203, 138, 861, 865, 770, 642, 464, 605, 98, 380, 445, 170, 51, 406, 788, 10, 766, 175, 180, 178, 187, 562, 812, 292, 500, 311, 18, 74, 436, 769, 843, 24, 215, 52, 151, 368, 60, 183, 524, 665, 421, 11, 891, 566, 567, 247, 585, 248, 355, 401, 749, 657, 872, 339, 279, 754, 255, 477, 359, 754, 109, 359, 862, 440, 303, 86, 558, 782, 662, 187, 61, 6, 246, 532, 578, 431, 793, 196, 466, 391, 200, 516, 178, 261, 26, 131, 766, 376, 692, 475, 149, 784, 88, 347, 581, 200, 14, 862, 771, 494, 739, 650, 253, 75, 812, 140, 127, 641, 156, 85, 237, 180, 398, 541, 587, 737, 804, 487, 103, 457, 180, 569, 423, 117, 307, 55, 271, 139, 288, 663, 566, 601, 162, 122, 105, 847, 801, 104, 683, 645, 79, 221, 283, 235, 658, 493, 486, 9, 0, 734, 100, 858, 501, 589, 217, 870, 391, 658, 37, 776, 499, 202, 143, 343, 296, 535, 602, 23, 205, 744, 795, 647, 698, 211, 62, 498, 537, 372, 47, 525, 412, 785, 121, 333, 418, 830, 791, 89, 742, 218, 818, 503, 218, 760, 450, 708, 617, 432, 564, 8, 421, 883, 60, 266, 531, 622, 695, 170, 195, 133, 809, 887, 270, 798, 587, 474, 713, 811, 254, 804, 626, 328, 91, 540, 347, 570, 285, 469, 655, 461, 343, 395, 669, 523}

    {490, 301, 733, 69, 272, 261, 813, 846, 877, 315, 513, 111, 800, 544, 679, 610, 397, 241, 456, 686, 836, 782, 321, 669, 472, 465, 761, 790, 741, 540, 231, 78, 755, 853, 615, 182, 809, 125, 547, 381, 428, 7, 103, 338, 588, 372, 882, 397, 85, 390, 324, 256, 388, 736, 371, 442, 510, 368, 123, 54, 142, 775, 134, 36, 595, 102, 671, 743, 715, 6, 784, 155, 147, 858, 766, 443, 275, 810, 401, 191, 889, 841, 448, 358, 808, 300, 13, 792, 207, 12, 395, 680, 645, 397, 543, 335, 234, 127, 281, 3, 526, 346, 519, 777, 679, 83, 478, 379, 399, 199, 838, 47, 700, 834, 172, 599, 76, 468, 94, 582, 885, 125, 761, 318, 459, 572, 522, 607, 466, 179, 193, 42, 292, 824, 254, 406, 337, 553, 418, 787, 446, 278, 285, 276, 457, 669, 803, 383, 69, 279, 354, 446, 596, 94, 654, 406, 29, 506, 75, 592, 470, 150, 740, 9, 764, 727, 481, 746, 634, 146, 337, 664, 367, 560, 239, 684, 255, 165, 229, 823, 197, 468, 378, 778, 330, 391, 236, 770, 483, 471, 126, 385, 551, 748, 278, 608, 530, 855, 334, 883, 17, 716, 529, 257, 304, 579, 304, 577, 480, 516, 888, 207, 197, 184, 303, 364, 541, 128, 161, 25, 408, 876, 92, 367, 533, 849, 64, 482, 411, 573, 692, 213, 322, 706, 250, 828, 242, 366, 610, 499, 313, 44, 251, 756, 388, 320, 539, 545, 626, 188, 316, 71, 811, 870, 736, 802, 534, 855, 871, 370, 201, 449, 316, 877, 186, 101, 19, 219, 576, 274, 274, 400, 441, 35, 801, 749, 341, 575, 584, 518, 232, 402, 444, 839, 794, 637, 800, 365, 866, 739, 654, 116, 273, 481, 166, 168, 563, 46, 690, 840, 666, 600, 438, 848, 354, 631, 474, 890, 383, 568, 557, 384, 835, 252, 548, 317, 490, 309, 597, 439, 325, 256, 291, 722, 889, 47, 363, 417, 126, 455, 434, 485, 73, 816, 709, 174, 259, 254, 526, 114, 614, 833, 349, 691, 834, 31, 571, 613, 693, 3, 625, 513, 627, 548, 213, 49, 518, 836, 769, 330, 496, 615, 568, 668, 125, 287, 333, 703, 460, 663, 131, 835, 788, 257, 819, 20, 140, 597, 838, 367, 332, 591, 425, 474, 755, 768, 514, 158, 822, 578, 613, 244, 430, 782, 491, 634, 209, 263, 746, 817, 435, 71, 353, 490, 70, 8, 49, 108, 495, 134, 59, 772, 456, 347, 57, 596, 569, 758, 878, 424, 892, 732, 327, 404, 586, 451, 370, 502, 38, 580, 675, 506, 459, 713, 237, 228, 548, 226, 437, 887, 554, 147, 302, 788, 826, 97, 249, 725, 165, 567, 552, 451, 637, 208, 509, 492, 104, 171, 368, 70, 454, 429, 33, 371, 361, 472, 779, 123, 494, 725, 111, 670, 377, 522, 214, 685, 426, 875, 771, 135, 582, 439, 100, 687, 756, 844, 110, 648, 672, 570, 504, 98, 9, 336, 294, 16, 277, 268, 514, 786, 2, 843, 851, 446, 720, 338, 141, 667, 91, 805, 295, 163, 317, 664, 386, 366, 51, 820, 314, 730, 642, 229, 117, 365, 682, 614, 113, 763, 878, 602, 716, 826, 556, 287, 559, 15, 693, 677, 43, 382, 80, 241, 393, 733, 248, 578, 18, 447, 630, 574, 340, 834, 344, 772, 185, 860, 749, 143, 840, 386, 124, 418, 189, 396, 297, 309, 752, 245, 102, 886, 461, 507, 576, 194, 605, 802, 895, 384, 263, 119, 210, 512, 542, 86, 538, 744, 747, 595, 532, 878, 553, 876, 733, 453, 658, 326, 794, 298, 198, 73, 113, 778, 828, 438, 886, 82, 604, 45, 158, 716, 116, 230, 45, 443, 348, 195, 13, 783, 93, 562, 362, 342, 157, 155, 748, 2, 530, 99, 627, 845, 890, 865, 12, 519, 833, 225, 264, 584, 562, 56, 648, 234, 694, 710, 172, 890, 629, 609, 103, 15, 210, 350, 773, 199, 198, 815, 825, 593, 550, 385, 150, 526, 120, 697, 75, 757, 297, 189, 138, 488, 172, 10, 193, 177, 523, 245, 386, 236, 806, 383, 128, 274, 557, 137, 152, 186, 396, 731, 68, 666, 294, 107, 348, 119, 198, 513, 241, 135, 227, 182, 607, 372, 873, 266, 682, 300, 345, 155, 425, 281, 672, 208, 737, 348, 242, 407, 473, 773, 11, 616, 888, 491, 563, 864, 564, 802, 667, 326, 579, 489, 475, 745, 100, 471, 384, 43, 419, 22, 1, 419, 431, 585, 133, 221, 424, 378, 392, 624, 14, 95, 596, 353, 221, 821, 267, 575, 388, 700, 431, 373, 500, 22, 617, 25, 1, 477, 873, 785, 448, 731, 421, 613, 554, 194, 322, 109, 242, 828, 175, 439, 362, 196, 351, 486, 810, 545, 555, 331, 189, 6, 302, 501, 107, 524, 345, 545, 594, 846, 533, 53, 630, 765, 377, 884, 38, 168, 44, 889, 480, 693, 370, 581, 517, 402, 188, 415, 301, 611, 153, 236, 64, 153, 130, 400, 661, 133, 857, 197, 96, 858, 457, 591, 59, 621, 352, 352, 168, 528, 167, 405, 94, 417, 87, 797, 445, 231, 540, 44, 839, 110, 82, 279, 820, 796, 252, 449, 577, 316, 678, 450, 422, 835, 553, 622, 89, 675, 271, 623, 507, 876, 357, 119, 681, 159, 708, 769, 830, 690, 113, 480, 582, 24, 483, 361, 536, 793, 36, 493, 503, 83, 803, 705, 710, 625, 246, 222, 444, 757, 624, 164, 243, 338, 258, 837, 24, 885, 430, 456, 514, 702, 374, 783, 554, 699, 292, 239, 564, 4, 332, 61, 602, 568, 317, 701, 850, 652, 240, 69, 432, 844, 158, 819, 694, 7, 665, 430, 358, 31, 478, 422, 655, 706, 33, 551, 213, 387, 875, 331, 659, 121, 59, 819, 660, 599, 857, 270, 256, 228, 846, 861, 701, 251, 253, 25, 528, 875, 731, 399, 154, 48, 148, 186, 360, 139, 134, 821, 583, 137, 684, 845, 558, 356, 68, 11, 16, 112, 124, 284, 742, 714, 730, 607, 638, 312, 740, 222, 864, 427, 214, 619, 781, 357, 479, 791, 222, 329, 502, 824, 414, 667, 286, 330, 870, 267, 505, 690, 632, 442, 243, 23, 809, 192, 85, 437, 435, 719, 153, 880, 661, 544, 726, 687, 839, 149, 510, 286, 463, 555, 477, 148, 797, 310, 461, 415, 12, 800, 280, 371, 710, 107, 825, 415, 699, 420, 3, 334, 847, 740, 419, 428, 665, 327, 83, 389, 325, 752, 556, 482, 549, 671, 23, 763, 529, 136, 95, 718, 411, 309, 137, 250, 290, 453, 174, 314, 675, 705, 497, 631, 552, 844, 538, 332, 512, 320, 39, 176, 303, 799, 272, 459, 265, 631, 882, 469, 785, 208, 625, 404, 720, 204, 504, 306, 678, 855, 504, 738, 80, 864, 762, 646, 851, 154, 108, 326, 651, 443, 454, 335, 290, 506, 224, 566, 798, 71, 32, 728, 574, 392, 306, 464, 377, 342, 787, 29, 525, 264, 633, 581, 435, 867, 705, 543, 32, 375, 576, 505, 394, 639, 738, 794, 611, 95, 28, 266, 15, 310, 481, 773, 157, 680, 394, 806, 349, 442, 656, 416, 614, 712, 775, 586, 328, 144, 185, 420, 874, 129, 560, 608, 445, 112, 283, 269, 28, 594, 244, 120, 312, 723, 319, 423, 315, 27, 866, 244, 395, 163, 127, 831, 492, 892, 334, 817, 337, 190, 493, 803, 224, 679, 759, 600, 815, 141, 90, 42, 449, 275, 174, 764, 424, 560, 747, 81, 434, 543, 759, 66, 807, 26, 239, 89, 630, 57, 319, 455, 587, 39, 399, 427, 609, 882, 63, 433, 233, 894, 427, 822, 381, 438, 569, 695, 689, 736, 886, 416, 685, 393, 573, 230, 93, 231, 65, 369, 273, 458, 298, 765, 853, 194, 463, 725, 628, 356, 750, 524, 777, 724, 132, 111, 335, 671, 629, 571, 689, 82, 854, 808, 110, 322, 825, 302, 84, 696, 201, 97, 444, 301, 29, 204, 353, 175, 473, 720, 707, 410, 771, 831, 722, 717, 707, 425, 484, 552, 536, 822, 130, 866, 808, 518, 7, 542, 536, 114, 511, 409, 796, 264, 87, 865, 346, 689, 247, 413, 748, 532}

    Returns: {1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0 }

  86. 990

    {399, 949, 452, 865, 103, 665, 750, 183, 345, 207, 533, 871, 23, 894, 609, 128, 738, 774, 503, 914, 543, 948, 124, 205, 425, 731, 154, 885, 809, 97, 137, 187, 263, 402, 294, 548, 463, 655, 180, 467, 305, 305, 326, 557, 516, 257, 379, 983, 819, 981, 812, 862, 988, 558, 986, 511, 27, 93, 661, 853, 329, 464, 988, 391, 124, 878, 696, 85, 309, 311, 486, 74, 714, 934, 192, 446, 970, 909, 449, 517, 93, 505, 551, 399, 539, 366, 919, 375, 908, 604, 296, 108, 753, 878, 633, 479, 789, 930, 759, 32, 547, 861, 358, 868, 16, 830, 150, 773, 829, 271, 187, 174, 768, 18, 88, 805, 195, 94, 415, 609, 41, 602, 102, 431, 741, 525, 355, 476, 638, 421, 596, 899, 679, 322, 345, 968, 331, 310, 315, 758, 571, 922, 190, 646, 695, 984, 23, 187, 577, 897, 491, 955, 519, 104, 490, 689, 462, 633, 886, 189, 134, 827, 169, 791, 249, 215, 891, 492, 368, 148, 609, 447, 486, 343, 575, 197, 649, 136, 56, 255, 757, 222, 415, 86, 563, 103, 183, 89, 746, 903, 289, 131, 190, 1, 891, 381, 80, 296, 972, 226, 317, 9, 919, 253, 243, 901, 730, 841, 95, 198, 121, 12, 610, 71, 797, 870, 583, 815, 933, 742, 494, 913, 811, 738, 586, 896, 761, 335, 832, 935, 722, 377, 8, 762, 981, 125, 533, 795, 718, 52, 150, 864, 601, 599, 281, 476, 422, 313, 592, 61, 400, 619, 910, 847, 956, 139, 850, 734, 165, 108, 167, 765, 982, 433, 351, 558, 338, 338, 228, 922, 360, 810, 522, 733, 419, 341, 638, 295, 477, 94, 658, 45, 196, 119, 845, 414, 736, 775, 850, 552, 852, 306, 839, 519, 884, 495, 629, 269, 323, 654, 252, 433, 734, 888, 467, 447, 517, 513, 141, 946, 59, 732, 861, 926, 287, 482, 162, 695, 672, 802, 978, 904, 496, 758, 618, 84, 388, 557, 700, 464, 563, 641, 311, 861, 566, 657, 935, 591, 804, 35, 419, 379, 465, 838, 100, 389, 152, 224, 56, 534, 595, 539, 170, 670, 852, 655, 222, 501, 810, 499, 400, 829, 960, 418, 887, 971, 641, 918, 662, 732, 311, 153, 617, 881, 76, 736, 808, 541, 436, 162, 3, 780, 503, 731, 696, 533, 113, 611, 925, 412, 382, 226, 24, 754, 644, 940, 354, 280, 109, 671, 956, 18, 491, 64, 971, 451, 926, 652, 295, 521, 712, 482, 264, 461, 328, 107, 401, 159, 54, 792, 260, 45, 144, 438, 671, 95, 760, 351, 864, 749, 176, 893, 271, 127, 621, 817, 640, 337, 598, 104, 218, 84, 566, 816, 335, 238, 134, 310, 669, 874, 420, 822, 429, 400, 753, 925, 865, 655, 652, 88, 775, 147, 707, 554, 112, 813, 962, 921, 180, 83, 654, 493, 237, 13, 375, 68, 686, 875, 477, 424, 624, 920, 629, 551, 317, 50, 316, 189, 796, 784, 0, 728, 292, 886, 405, 789, 425, 691, 213, 892, 233, 614, 441, 887, 251, 17, 16, 694, 298, 431, 618, 231, 174, 106, 751, 404, 462, 960, 540, 782, 320, 469, 608, 322, 976, 965, 666, 792, 393, 451, 666, 315, 269, 210, 280, 49, 968, 814, 860, 408, 530, 712, 264, 448, 682, 444, 837, 65, 33, 181, 18, 760, 614, 958, 167, 386, 186, 789, 505, 577, 252, 520, 259, 11, 912, 479, 672, 220, 307, 250, 329, 914, 459, 403, 888, 977, 96, 970, 875, 246, 19, 272, 198, 558, 5, 915, 834, 973, 196, 948, 247, 711, 142, 99, 912, 372, 801, 805, 870, 37, 896, 337, 855, 830, 763, 421, 599, 902, 526, 52, 353, 780, 464, 298, 714, 518, 601, 371, 841, 631, 467, 624, 236, 20, 280, 575, 885, 524, 691, 901, 976, 96, 303, 411, 541, 406, 792, 737, 567, 90, 701, 901, 648, 138, 307, 165, 839, 481, 653, 784, 62, 608, 249, 753, 104, 529, 40, 811, 682, 936, 841, 343, 228, 914, 944, 658, 227, 201, 377, 349, 355, 917, 674, 623, 836, 420, 114, 324, 42, 137, 639, 90, 109, 371, 426, 918, 145, 977, 649, 627, 813, 97, 722, 724, 843, 388, 412, 742, 227, 6, 963, 604, 240, 260, 613, 970, 327, 908, 32, 540, 505, 241, 436, 504, 449, 794, 167, 808, 384, 322, 981, 574, 65, 528, 710, 261, 8, 757, 213, 741, 460, 135, 877, 307, 181, 12, 63, 560, 157, 265, 498, 57, 560, 668, 801, 742, 188, 460, 80, 119, 566, 730, 54, 668, 267, 414, 157, 414, 586, 588, 480, 154, 943, 528, 125, 478, 262, 287, 805, 849, 441, 908, 353, 100, 369, 618, 147, 902, 828, 561, 310, 13, 513, 3, 244, 715, 670, 243, 343, 17, 523, 166, 762, 850, 333, 738, 355, 115, 904, 512, 198, 109, 38, 190, 644, 821, 540, 223, 338, 749, 88, 170, 532, 86, 827, 777, 648, 743, 290, 284, 856, 927, 144, 465, 388, 377, 545, 532, 175, 939, 461, 206, 704, 114, 49, 404, 484, 529, 170, 520, 132, 695, 958, 530, 118, 59, 158, 108, 869, 636, 534, 177, 313, 203, 143, 632, 308, 454, 718, 218, 282, 904, 572, 267, 613, 676, 375, 550, 651, 369, 808, 5, 715, 250, 716, 168, 492, 821, 199, 345, 986, 900, 797, 739, 945, 950, 180, 319, 967, 898, 621, 858, 665, 818, 309, 589, 694, 256, 853, 220, 473, 649, 966, 246, 946, 594, 179, 342, 765, 0, 10, 52, 94, 615, 121, 119, 594, 809, 257, 869, 798, 545, 832, 175, 843, 790, 593, 35, 25, 163, 51, 324, 652, 733, 497, 764, 713, 800, 715, 28, 408, 842, 470, 107, 152, 296, 37, 682, 764, 186, 473, 395, 969, 858, 934, 526, 216, 143, 781, 771, 623, 171, 681, 228, 415, 571, 752, 589, 35, 580, 489, 315, 67, 688, 771, 499, 768, 298, 890, 397, 135, 401, 875, 28, 98, 454, 972, 827, 157, 882, 790, 641, 262, 221, 451, 441, 544, 335, 404, 606, 702, 60, 766, 348, 81, 99, 905, 622, 34, 386, 869, 308, 139, 796, 927, 91, 938, 291, 121, 272, 617, 689, 763, 962, 403, 765, 621, 238, 589, 781, 987, 697, 676, 767, 543, 238, 41, 394, 368, 243, 720, 579, 660, 667, 445, 49, 425, 305, 169, 178, 724, 288, 811, 76, 749, 882, 372, 686, 235, 938, 520, 188, 667, 341, 980, 546, 489, 832, 689, 74, 54, 125, 195, 696, 551, 600, 191, 780, 76, 919, 220, 159, 68, 143, 893, 857, 516, 702, 942, 237, 902, 512, 203, 770, 960, 661, 772, 107, 727, 71, 837, 544, 271, 844, 445, 457, 761, 752, 599, 41, 1, 244, 752, 731, 162, 337, 246, 955, 884, 3, 587, 301, 595, 114, 767, 324, 347, 705, 640, 831, 971, 56, 640, 573, 570, 349, 944, 189, 25, 915, 717, 741, 358, 16, 646, 633, 382, 785, 654, 880, 936, 213, 943, 693, 772, 898, 632, 412, 169, 55, 632, 718, 955, 521, 653, 333, 697, 210, 784, 233, 574, 936, 567, 387, 910, 184, 274, 203, 457, 390, 500, 548, 925, 346, 364, 507, 927, 569, 461, 535, 480, 596, 586, 118, 607, 272, 63, 289, 181, 758, 279, 812, 939, 865, 631, 667, 421, 115, 74, 8, 59, 452, 675, 301, 13, 353, 704, 944, 55, 28, 273, 471, 410, 382, 431, 686, 237, 871, 987, 89, 924, 870, 966, 842, 671, 579, 369, 233, 691, 455, 777, 37, 38, 565, 627, 177, 129, 481, 196, 946, 848, 896, 112, 24, 178, 440, 406, 477, 57, 416, 604, 131, 11, 485, 917, 230, 48, 397, 669, 295, 279, 924, 204, 244, 12, 619, 290, 55, 636, 600, 767, 308, 962, 926, 651, 504, 674, 367, 950, 857, 610, 433, 668, 197, 764, 751, 629, 824, 284, 983, 660, 709, 112, 534, 323, 768, 938, 858, 892, 317, 707, 563, 980, 115, 405, 720, 458, 144, 965, 489, 40, 137, 457, 672, 142, 942, 915, 129, 934, 166, 445, 485, 781, 256, 44, 156, 47, 703, 142, 452, 729, 531, 223, 546, 835, 287, 921, 166, 350, 697, 178, 956, 532, 349, 367, 631, 197, 825, 903, 716, 249, 982, 497, 797, 160, 348, 397, 371, 666, 547, 63, 436, 79, 747, 381, 637, 517, 411, 950, 546, 567, 947, 873, 984, 544, 743, 935, 251, 733, 959, 658, 306, 636, 734, 289, 387, 386, 942, 967, 217, 306, 85, 982, 70, 806, 478, 128, 23, 670, 795, 625, 131, 661, 848, 77, 578, 575, 702, 29, 675, 614, 527, 585, 113, 707, 1, 500, 192, 328, 61, 903, 577, 141, 694, 53, 43, 217, 191, 602, 103, 582, 38, 172, 236, 394, 411, 591, 766, 429, 543, 407, 579, 253, 458, 69, 168, 138, 646, 276, 395, 860, 928, 906, 179, 68, 491, 665, 757, 625, 96, 824, 958, 225, 113, 460, 123, 659, 825, 677, 771, 716, 713, 42, 141, 569}

    {818, 725, 548, 10, 9, 130, 595, 50, 506, 150, 468, 951, 959, 479, 891, 706, 475, 309, 685, 102, 163, 278, 423, 398, 876, 385, 779, 304, 350, 265, 647, 556, 813, 110, 195, 36, 883, 542, 977, 240, 510, 416, 698, 106, 365, 231, 360, 206, 80, 199, 111, 344, 463, 336, 19, 964, 191, 327, 872, 847, 747, 989, 643, 594, 43, 866, 299, 690, 132, 293, 820, 807, 744, 553, 392, 248, 553, 334, 700, 974, 820, 675, 361, 747, 493, 483, 241, 136, 66, 502, 92, 332, 817, 443, 147, 564, 245, 481, 31, 171, 443, 669, 378, 985, 286, 845, 423, 634, 215, 318, 459, 105, 961, 29, 537, 14, 219, 890, 823, 160, 846, 873, 257, 721, 208, 478, 419, 877, 303, 720, 438, 378, 458, 687, 584, 536, 642, 302, 391, 102, 219, 15, 51, 930, 200, 804, 62, 218, 974, 645, 893, 507, 439, 465, 957, 224, 873, 542, 212, 561, 683, 73, 622, 101, 442, 387, 149, 145, 916, 864, 149, 268, 438, 151, 750, 945, 498, 120, 791, 453, 242, 53, 920, 554, 743, 193, 815, 515, 529, 443, 488, 260, 123, 99, 940, 275, 316, 362, 522, 897, 794, 516, 330, 947, 737, 216, 727, 576, 437, 254, 21, 453, 778, 416, 111, 941, 500, 154, 239, 398, 547, 17, 555, 171, 531, 868, 277, 703, 442, 941, 33, 466, 945, 72, 242, 897, 647, 281, 674, 159, 334, 69, 787, 648, 571, 580, 776, 793, 329, 729, 396, 326, 723, 775, 356, 874, 79, 374, 354, 153, 410, 820, 207, 110, 588, 969, 363, 432, 626, 518, 217, 225, 931, 895, 359, 200, 426, 483, 484, 560, 346, 562, 524, 710, 149, 161, 432, 729, 772, 687, 828, 396, 487, 872, 663, 951, 663, 508, 909, 185, 424, 395, 851, 204, 703, 642, 352, 48, 825, 553, 332, 470, 834, 390, 314, 261, 582, 973, 204, 673, 515, 214, 182, 383, 396, 184, 840, 831, 556, 611, 83, 430, 550, 373, 278, 545, 447, 552, 42, 448, 913, 444, 193, 541, 384, 456, 550, 78, 368, 385, 552, 630, 740, 205, 929, 894, 47, 97, 726, 60, 565, 851, 725, 627, 4, 11, 214, 985, 4, 325, 439, 473, 759, 559, 376, 911, 182, 700, 773, 511, 208, 440, 122, 383, 82, 146, 509, 882, 341, 132, 611, 862, 22, 690, 973, 756, 976, 471, 549, 255, 719, 854, 537, 801, 469, 779, 229, 522, 713, 693, 339, 448, 354, 701, 277, 226, 231, 554, 281, 44, 506, 518, 258, 93, 285, 692, 117, 717, 292, 410, 879, 173, 606, 538, 815, 911, 340, 474, 871, 538, 459, 774, 963, 285, 863, 126, 46, 91, 688, 405, 949, 177, 650, 275, 283, 969, 15, 754, 418, 515, 863, 523, 462, 32, 886, 437, 822, 502, 849, 683, 933, 183, 30, 952, 432, 79, 581, 526, 779, 468, 889, 823, 798, 98, 321, 5, 223, 525, 378, 361, 409, 680, 610, 656, 389, 706, 954, 283, 580, 422, 57, 487, 657, 708, 727, 245, 474, 58, 831, 664, 256, 769, 978, 508, 581, 766, 859, 476, 964, 783, 795, 117, 961, 745, 791, 110, 512, 236, 482, 928, 302, 616, 106, 463, 685, 957, 123, 810, 146, 202, 570, 33, 490, 340, 252, 656, 816, 573, 352, 2, 116, 72, 285, 161, 2, 456, 384, 347, 774, 496, 160, 380, 492, 176, 340, 620, 740, 6, 474, 221, 133, 932, 777, 293, 778, 819, 15, 794, 650, 635, 603, 172, 320, 318, 699, 25, 232, 628, 635, 847, 348, 829, 687, 568, 357, 116, 151, 165, 435, 428, 653, 370, 86, 756, 705, 472, 607, 188, 101, 673, 336, 793, 266, 51, 582, 643, 584, 95, 911, 732, 82, 840, 73, 365, 824, 770, 31, 597, 363, 783, 490, 381, 192, 932, 232, 782, 326, 258, 634, 418, 685, 406, 66, 785, 155, 957, 91, 933, 868, 809, 227, 122, 814, 262, 20, 985, 746, 587, 756, 185, 53, 148, 598, 383, 867, 745, 133, 370, 29, 318, 598, 120, 605, 725, 202, 645, 564, 26, 637, 424, 194, 380, 0, 523, 895, 266, 283, 570, 325, 755, 620, 555, 215, 164, 711, 163, 755, 602, 880, 953, 87, 856, 853, 62, 748, 751, 826, 247, 802, 493, 590, 503, 389, 932, 693, 676, 684, 722, 726, 578, 678, 34, 974, 26, 692, 975, 130, 299, 947, 605, 435, 906, 509, 286, 325, 7, 983, 835, 61, 14, 450, 39, 754, 292, 856, 816, 787, 331, 849, 800, 299, 905, 320, 148, 440, 879, 314, 510, 124, 616, 913, 630, 263, 67, 22, 455, 363, 514, 156, 146, 130, 988, 270, 78, 923, 276, 692, 70, 638, 723, 398, 878, 606, 836, 828, 530, 884, 367, 888, 773, 437, 507, 39, 769, 683, 98, 706, 366, 58, 209, 2, 319, 370, 528, 662, 105, 714, 845, 259, 498, 239, 502, 787, 475, 201, 525, 643, 46, 514, 664, 151, 866, 866, 9, 164, 372, 739, 959, 854, 799, 941, 361, 509, 690, 587, 677, 267, 20, 64, 755, 590, 4, 659, 468, 254, 402, 724, 392, 245, 986, 617, 470, 484, 821, 284, 521, 605, 615, 312, 230, 84, 430, 297, 744, 907, 806, 917, 937, 303, 788, 851, 928, 819, 656, 776, 639, 136, 173, 242, 327, 201, 279, 261, 439, 403, 26, 647, 401, 30, 531, 699, 838, 488, 486, 844, 30, 194, 247, 87, 953, 235, 612, 786, 748, 581, 202, 300, 126, 826, 535, 45, 876, 710, 965, 312, 735, 717, 83, 769, 874, 859, 427, 920, 867, 483, 291, 929, 323, 583, 848, 796, 216, 179, 454, 688, 943, 428, 85, 211, 918, 616, 728, 219, 344, 342, 698, 374, 940, 542, 679, 417, 376, 799, 230, 321, 527, 269, 44, 907, 300, 877, 876, 562, 456, 186, 75, 224, 608, 43, 623, 39, 413, 485, 966, 972, 211, 6, 135, 620, 603, 536, 759, 916, 365, 954, 332, 844, 155, 82, 297, 576, 806, 291, 212, 744, 427, 164, 948, 176, 807, 282, 830, 677, 565, 557, 923, 251, 803, 266, 139, 359, 21, 634, 67, 952, 837, 264, 222, 351, 761, 409, 225, 356, 75, 583, 584, 793, 488, 268, 430, 221, 413, 58, 434, 889, 519, 916, 537, 101, 559, 472, 36, 822, 297, 145, 625, 46, 161, 803, 651, 559, 105, 501, 417, 118, 572, 69, 194, 417, 265, 622, 592, 127, 807, 931, 182, 879, 788, 328, 48, 660, 709, 684, 514, 134, 628, 234, 539, 895, 471, 967, 350, 304, 721, 288, 444, 193, 833, 344, 330, 880, 205, 77, 987, 709, 293, 274, 719, 569, 469, 663, 158, 336, 833, 730, 248, 814, 923, 883, 555, 442, 852, 788, 31, 472, 619, 597, 708, 7, 842, 846, 77, 770, 263, 659, 899, 138, 719, 812, 968, 434, 846, 393, 374, 211, 270, 64, 373, 979, 126, 984, 588, 81, 664, 185, 894, 40, 128, 174, 506, 394, 704, 800, 786, 385, 393, 834, 300, 380, 312, 838, 208, 939, 786, 746, 954, 804, 681, 206, 510, 989, 239, 785, 273, 561, 90, 885, 390, 930, 301, 342, 975, 628, 857, 898, 708, 494, 576, 642, 504, 495, 826, 334, 612, 210, 568, 802, 979, 450, 535, 881, 975, 270, 276, 254, 574, 964, 711, 600, 739, 593, 357, 833, 446, 494, 513, 22, 921, 413, 127, 843, 961, 612, 572, 92, 639, 701, 626, 140, 248, 735, 331, 556, 680, 839, 909, 172, 234, 120, 449, 373, 65, 73, 66, 590, 75, 899, 288, 748, 214, 952, 34, 750, 949, 376, 630, 508, 50, 585, 762, 466, 592, 27, 783, 47, 910, 644, 19, 455, 273, 889, 564, 778, 392, 487, 155, 963, 836, 362, 662, 72, 637, 450, 978, 593, 274, 680, 840, 782, 422, 466, 153, 116, 937, 890, 321, 255, 330, 603, 855, 294, 763, 346, 549, 364, 122, 156, 497, 578, 613, 859, 673, 803, 712, 495, 511, 823, 900, 929, 27, 538, 499, 89, 175, 140, 420, 657, 81, 907, 887, 905, 906, 635, 10, 286, 650, 736, 863, 250, 364, 290, 111, 60, 428, 924, 678, 854, 799, 333, 408, 235, 862, 818, 200, 158, 294, 979, 278, 900, 212, 568, 423, 232, 912, 860, 883, 721, 835, 798, 258, 475, 359, 549, 596, 681, 21, 339, 304, 536, 366, 480, 24, 209, 391, 407, 855, 953, 259, 615, 133, 892, 562, 92, 352, 872, 573, 347, 705, 435, 776, 922, 735, 36, 399, 168, 723, 626, 601, 302, 684, 501, 70, 152, 737, 173, 591, 379, 980, 867, 931, 7, 429, 71, 356, 453, 679, 427, 426, 726, 314, 407, 339, 240, 597, 790, 357, 745, 117, 209, 989, 313, 698, 277, 362, 229, 409, 360, 585, 14, 881, 624, 207, 645, 78, 740, 524, 951, 229, 275, 402, 316, 699, 358, 184, 319, 446, 937, 678, 527, 607, 241, 760, 100, 253, 268, 129, 234, 199, 434, 282, 140, 496, 728, 87, 817}

    Returns: {0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0 }

  87. 990

    {622, 203, 601, 844, 373, 782, 310, 53, 555, 247, 121, 112, 91, 132, 229, 246, 272, 807, 705, 930, 358, 730, 552, 213, 761, 324, 367, 237, 585, 339, 298, 941, 63, 604, 88, 534, 302, 747, 231, 678, 519, 971, 836, 783, 481, 549, 775, 16, 36, 147, 806, 357, 368, 228, 566, 54, 195, 438, 233, 683, 613, 637, 719, 645, 842, 427, 2, 346, 427, 380, 516, 389, 452, 555, 682, 959, 73, 329, 172, 743, 79, 498, 982, 807, 672, 123, 895, 608, 737, 860, 832, 762, 867, 105, 362, 517, 931, 321, 471, 509, 159, 960, 535, 763, 813, 316, 315, 645, 361, 331, 535, 493, 34, 235, 262, 546, 909, 968, 138, 202, 103, 310, 392, 979, 166, 106, 774, 842, 545, 669, 938, 188, 888, 611, 584, 704, 646, 286, 984, 14, 31, 885, 652, 953, 768, 189, 700, 513, 818, 600, 953, 654, 299, 921, 899, 861, 119, 290, 319, 805, 256, 42, 186, 534, 530, 86, 755, 792, 49, 536, 745, 884, 753, 986, 784, 338, 985, 519, 458, 382, 263, 417, 515, 387, 90, 284, 148, 667, 456, 495, 466, 945, 326, 753, 286, 138, 547, 22, 103, 917, 333, 974, 472, 646, 379, 224, 497, 68, 869, 120, 711, 238, 451, 969, 837, 166, 538, 425, 121, 693, 909, 921, 238, 5, 683, 850, 348, 490, 958, 699, 190, 398, 311, 701, 117, 924, 980, 757, 275, 288, 35, 785, 376, 959, 769, 513, 935, 413, 490, 432, 671, 791, 50, 308, 262, 908, 242, 398, 334, 220, 967, 185, 102, 31, 657, 298, 487, 0, 364, 362, 205, 812, 458, 710, 834, 769, 406, 504, 247, 203, 361, 603, 807, 658, 980, 190, 316, 712, 986, 150, 938, 524, 597, 61, 889, 219, 417, 111, 249, 439, 975, 425, 221, 946, 783, 99, 399, 886, 418, 956, 796, 847, 573, 28, 74, 784, 353, 119, 718, 899, 435, 171, 531, 419, 245, 747, 33, 451, 507, 618, 746, 419, 463, 218, 917, 729, 295, 196, 502, 756, 460, 222, 278, 430, 929, 649, 913, 224, 193, 484, 910, 824, 616, 899, 468, 579, 165, 935, 101, 659, 596, 259, 887, 462, 334, 718, 435, 34, 541, 543, 9, 548, 122, 130, 245, 98, 925, 471, 327, 615, 95, 511, 596, 456, 955, 885, 247, 52, 256, 726, 561, 138, 196, 871, 272, 927, 732, 320, 33, 723, 25, 572, 583, 508, 791, 603, 749, 800, 381, 815, 112, 600, 658, 605, 291, 742, 572, 528, 65, 531, 509, 379, 52, 722, 612, 262, 708, 672, 839, 739, 199, 521, 264, 156, 301, 538, 251, 774, 375, 962, 458, 120, 291, 867, 460, 828, 252, 459, 186, 548, 199, 316, 356, 293, 744, 934, 626, 395, 70, 21, 415, 581, 117, 448, 5, 162, 779, 506, 632, 966, 327, 523, 255, 872, 250, 757, 566, 979, 409, 333, 304, 621, 213, 47, 797, 109, 650, 854, 951, 165, 539, 516, 611, 715, 76, 799, 94, 487, 79, 693, 313, 155, 788, 49, 709, 916, 673, 762, 263, 100, 698, 222, 72, 40, 595, 133, 757, 837, 540, 547, 609, 785, 976, 51, 611, 865, 491, 406, 335, 549, 27, 78, 912, 111, 665, 512, 391, 344, 390, 332, 742, 113, 53, 86, 157, 83, 986, 825, 598, 780, 412, 796, 11, 783, 33, 55, 837, 16, 805, 841, 886, 714, 232, 745, 349, 831, 263, 884, 517, 38, 553, 551, 443, 565, 915, 2, 98, 549, 229, 109, 924, 406, 925, 181, 880, 272, 156, 693, 737, 476, 667, 608, 626, 944, 470, 359, 571, 85, 86, 268, 966, 789, 119, 95, 30, 67, 389, 309, 937, 883, 348, 314, 398, 443, 370, 777, 148, 987, 884, 353, 694, 964, 802, 697, 894, 343, 360, 648, 455, 423, 853, 416, 189, 220, 204, 459, 599, 289, 958, 620, 890, 919, 661, 111, 63, 798, 894, 574, 527, 927, 603, 527, 672, 214, 314, 440, 175, 844, 2, 532, 819, 147, 420, 943, 920, 749, 255, 399, 335, 889, 753, 132, 220, 772, 515, 18, 346, 185, 246, 269, 169, 654, 859, 949, 955, 676, 173, 323, 755, 794, 845, 301, 869, 234, 73, 13, 92, 808, 793, 982, 748, 796, 698, 613, 852, 853, 307, 428, 989, 479, 374, 351, 658, 553, 290, 465, 77, 372, 829, 43, 131, 487, 280, 770, 336, 283, 248, 629, 768, 343, 948, 36, 750, 882, 343, 816, 619, 53, 688, 834, 204, 32, 642, 740, 137, 770, 706, 4, 604, 838, 506, 70, 558, 662, 134, 443, 248, 339, 723, 124, 967, 179, 459, 955, 156, 669, 817, 526, 540, 724, 465, 676, 815, 254, 275, 763, 890, 746, 279, 68, 670, 648, 615, 289, 758, 777, 281, 514, 932, 854, 460, 734, 293, 971, 365, 949, 101, 582, 552, 630, 643, 910, 474, 786, 969, 838, 929, 35, 299, 978, 276, 243, 945, 270, 295, 235, 484, 251, 320, 894, 628, 321, 13, 696, 329, 694, 607, 909, 54, 641, 293, 130, 551, 953, 463, 903, 425, 52, 569, 924, 35, 422, 874, 251, 161, 411, 572, 304, 466, 530, 235, 793, 610, 799, 881, 336, 754, 989, 379, 302, 344, 420, 330, 450, 141, 371, 901, 10, 920, 676, 749, 245, 32, 92, 766, 100, 390, 768, 908, 471, 591, 724, 730, 947, 630, 733, 362, 76, 115, 83, 921, 202, 48, 447, 279, 536, 94, 158, 102, 17, 148, 771, 269, 902, 72, 81, 938, 157, 280, 769, 320, 381, 666, 208, 870, 601, 969, 806, 852, 454, 974, 422, 519, 206, 813, 210, 583, 88, 714, 661, 349, 239, 254, 859, 767, 359, 505, 178, 740, 787, 732, 454, 760, 984, 577, 386, 352, 567, 817, 724, 923, 295, 238, 775, 419, 541, 824, 270, 758, 47, 775, 110, 582, 984, 393, 881, 696, 501, 230, 470, 218, 197, 179, 267, 283, 191, 1, 522, 198, 706, 374, 457, 197, 962, 512, 818, 691, 886, 714, 985, 645, 152, 708, 385, 679, 187, 964, 975, 653, 387, 838, 929, 598, 875, 481, 255, 9, 832, 627, 144, 943, 618, 502, 474, 116, 518, 144, 916, 407, 266, 364, 228, 686, 273, 25, 750, 193, 143, 338, 404, 792, 525, 172, 314, 434, 451, 604, 561, 122, 363, 586, 948, 283, 731, 748, 68, 744, 877, 30, 97, 823, 196, 386, 380, 430, 591, 71, 175, 466, 816, 246, 8, 340, 10, 834, 275, 310, 653, 403, 583, 731, 721, 113, 377, 72, 799, 746, 50, 618, 498, 347, 816, 802, 367, 872, 250, 467, 493, 678, 920, 4, 66, 868, 481, 887, 371, 418, 265, 298, 650, 803, 555, 89, 686, 722, 751, 844, 913, 723, 857, 469, 586, 830, 48, 347, 268, 656, 708, 778, 372, 745, 523, 513, 368, 642, 190, 266, 505, 758, 925, 705, 650, 286, 62, 626, 29, 882, 792, 304, 145, 132, 869, 808, 387, 779, 14, 729, 410, 151, 817, 581, 21, 236, 871, 231, 644, 322, 309, 51, 294, 552, 189, 546, 836, 902, 101, 887, 539, 62, 144, 176, 7, 628, 979, 337, 988, 20, 174, 505, 719, 567, 607, 445, 531, 87, 99, 85, 553, 90, 700, 778, 738, 140, 600, 643, 44, 659, 509, 830, 213, 394, 762, 750, 506, 408, 359, 670, 268, 64, 77, 683, 918, 630, 123, 625, 115, 120, 151, 418, 548, 581, 99, 141, 688, 663, 402, 395, 689, 667, 42, 954, 571, 595, 369, 789, 722, 9, 312, 803, 321, 828, 566, 774, 623, 704, 502, 348, 114, 508, 586, 377, 730, 339, 657, 151, 507, 679, 802, 582, 205, 308, 311, 129, 819, 970, 21, 447, 347, 679, 216, 78, 719, 357, 943, 985, 23, 126, 97, 334, 370, 497, 825, 439, 6, 904, 731, 403, 729, 855, 615, 543, 680, 850, 897, 214, 803, 135, 897, 124, 972, 665, 779, 49, 8, 699, 364, 267, 950, 470, 616, 100, 44, 372, 891, 764, 522, 392, 819, 27, 197, 50, 420, 700, 915, 79, 136, 243, 877, 640, 824, 728, 336, 810, 825, 216, 760, 640, 859, 290, 325, 74, 115, 962, 743, 367, 395, 622, 497, 966, 788, 987, 62, 907, 831, 660, 674, 639, 591, 87, 24, 136, 570, 577, 78, 306, 947, 491, 885, 176, 412, 786, 171, 317, 510, 538, 949, 356, 965, 846, 832, 663, 369, 474, 761, 276, 92, 292, 657, 522, 16, 483, 562, 903, 647, 712, 376, 98, 951, 335, 616, 141, 932, 606, 585, 8, 855, 88, 523, 697, 34, 70, 193, 632, 448, 305, 94, 874, 748, 897, 374, 278, 63, 266, 116, 504, 184, 950, 959, 954, 761, 895, 256, 855, 968, 875, 206, 102, 273, 866, 170, 254, 61, 463, 482, 767, 147, 467, 260, 918, 568, 810, 649, 536, 349, 376, 642, 448, 437, 978, 918, 919, 782, 43, 205, 373, 90, 361, 599, 109, 831, 743, 137, 490, 280, 32, 524, 981, 598, 913, 390, 784, 36, 797, 845, 755}

    {472, 573, 605, 623, 773, 462, 520, 71, 96, 981, 252, 695, 215, 414, 355, 188, 257, 568, 145, 368, 833, 134, 669, 983, 587, 848, 383, 27, 237, 66, 153, 765, 462, 31, 602, 510, 564, 131, 771, 292, 570, 300, 936, 163, 695, 580, 728, 544, 317, 6, 494, 221, 942, 488, 159, 963, 25, 936, 951, 863, 833, 277, 542, 646, 307, 423, 857, 898, 734, 715, 354, 856, 160, 259, 241, 980, 511, 318, 355, 468, 18, 227, 532, 987, 112, 674, 934, 237, 152, 127, 685, 242, 322, 175, 223, 483, 770, 107, 632, 75, 3, 87, 907, 437, 191, 554, 212, 801, 375, 975, 164, 23, 592, 644, 41, 178, 489, 720, 685, 488, 449, 227, 671, 952, 177, 167, 764, 621, 631, 18, 492, 906, 793, 492, 39, 800, 736, 154, 493, 182, 242, 504, 289, 400, 941, 194, 146, 14, 557, 735, 691, 865, 692, 689, 315, 124, 403, 973, 703, 127, 475, 168, 914, 236, 905, 114, 306, 910, 804, 133, 499, 622, 104, 631, 923, 619, 422, 617, 442, 911, 122, 363, 191, 860, 260, 467, 662, 651, 981, 659, 677, 312, 113, 643, 5, 81, 315, 517, 941, 717, 125, 776, 635, 851, 409, 521, 209, 150, 312, 809, 982, 74, 181, 499, 569, 162, 635, 384, 342, 123, 170, 707, 271, 716, 964, 627, 294, 754, 739, 160, 590, 889, 833, 806, 734, 976, 195, 653, 811, 453, 288, 296, 977, 843, 535, 976, 350, 567, 534, 668, 814, 453, 529, 794, 638, 394, 248, 930, 556, 279, 318, 926, 636, 7, 873, 580, 281, 291, 500, 1, 655, 537, 849, 713, 811, 240, 351, 790, 670, 114, 135, 781, 851, 503, 476, 866, 37, 432, 970, 808, 912, 841, 207, 794, 835, 186, 520, 64, 983, 201, 158, 157, 203, 608, 937, 492, 258, 231, 274, 599, 172, 486, 633, 939, 407, 413, 28, 271, 105, 516, 217, 637, 154, 338, 689, 804, 698, 85, 525, 563, 848, 961, 503, 633, 108, 940, 547, 375, 850, 551, 170, 257, 446, 26, 19, 192, 752, 485, 139, 408, 829, 797, 829, 656, 933, 878, 46, 173, 104, 713, 444, 720, 820, 224, 38, 710, 839, 11, 827, 19, 473, 592, 91, 898, 216, 431, 435, 58, 764, 105, 900, 180, 433, 568, 771, 207, 482, 627, 546, 54, 961, 835, 311, 155, 543, 483, 671, 701, 180, 727, 306, 366, 159, 564, 461, 864, 57, 30, 575, 146, 265, 455, 214, 346, 715, 230, 67, 202, 43, 684, 200, 446, 821, 378, 388, 727, 503, 6, 217, 950, 241, 881, 371, 699, 436, 405, 631, 974, 864, 711, 577, 826, 738, 260, 433, 673, 204, 15, 437, 207, 682, 589, 150, 648, 939, 378, 365, 901, 110, 80, 688, 484, 684, 232, 496, 614, 826, 661, 414, 233, 160, 972, 813, 609, 550, 589, 0, 431, 971, 655, 861, 942, 830, 558, 178, 297, 613, 264, 139, 878, 574, 660, 912, 978, 140, 155, 765, 873, 664, 525, 795, 226, 401, 857, 853, 129, 957, 57, 317, 365, 208, 230, 345, 473, 558, 520, 809, 194, 239, 652, 389, 526, 651, 823, 852, 810, 428, 222, 66, 185, 533, 560, 243, 782, 801, 84, 19, 225, 436, 815, 752, 397, 874, 903, 323, 703, 898, 253, 795, 211, 911, 328, 179, 250, 69, 15, 767, 588, 402, 595, 687, 416, 449, 76, 59, 329, 215, 405, 23, 328, 893, 143, 442, 507, 331, 739, 526, 606, 879, 822, 868, 590, 514, 137, 430, 324, 776, 331, 126, 892, 926, 751, 717, 932, 635, 989, 873, 772, 710, 236, 353, 652, 510, 396, 655, 285, 593, 287, 163, 533, 55, 827, 56, 564, 926, 39, 149, 482, 352, 988, 134, 12, 528, 636, 383, 952, 968, 449, 843, 444, 695, 494, 640, 227, 153, 706, 12, 457, 952, 386, 594, 973, 588, 413, 521, 849, 639, 876, 29, 167, 135, 634, 432, 847, 241, 258, 453, 811, 149, 401, 692, 356, 893, 477, 892, 687, 440, 562, 488, 91, 587, 136, 219, 954, 128, 805, 388, 606, 542, 409, 786, 350, 219, 145, 601, 900, 4, 257, 666, 777, 438, 128, 862, 940, 69, 385, 464, 668, 382, 401, 965, 127, 906, 562, 617, 668, 56, 369, 208, 392, 908, 48, 944, 498, 410, 518, 0, 41, 945, 942, 895, 690, 20, 681, 73, 957, 858, 47, 527, 934, 303, 81, 589, 212, 747, 51, 961, 772, 756, 756, 342, 309, 184, 476, 118, 313, 326, 158, 388, 628, 735, 407, 524, 296, 454, 798, 605, 341, 41, 416, 294, 597, 397, 970, 75, 284, 404, 624, 790, 249, 264, 384, 537, 879, 303, 163, 960, 323, 366, 712, 478, 82, 778, 212, 860, 675, 571, 465, 486, 96, 223, 489, 277, 936, 456, 383, 876, 821, 261, 223, 253, 878, 428, 922, 880, 681, 324, 461, 71, 814, 843, 876, 888, 621, 3, 891, 651, 858, 199, 901, 931, 472, 780, 328, 17, 597, 537, 496, 385, 916, 82, 545, 174, 561, 839, 633, 391, 809, 287, 500, 274, 140, 210, 612, 776, 442, 914, 441, 902, 972, 596, 610, 194, 875, 707, 511, 421, 726, 638, 800, 892, 846, 278, 439, 647, 96, 675, 634, 59, 95, 464, 973, 862, 858, 116, 198, 864, 629, 452, 393, 704, 602, 345, 544, 1, 429, 154, 533, 225, 580, 44, 282, 391, 281, 285, 285, 277, 350, 741, 677, 431, 42, 330, 677, 11, 725, 104, 351, 182, 592, 341, 200, 947, 183, 773, 545, 447, 766, 325, 907, 575, 933, 812, 725, 781, 692, 882, 318, 682, 787, 666, 694, 261, 893, 911, 726, 967, 512, 733, 276, 814, 234, 501, 22, 473, 977, 836, 64, 508, 45, 485, 354, 960, 478, 37, 494, 415, 65, 192, 426, 736, 373, 554, 106, 414, 485, 680, 963, 396, 352, 461, 690, 240, 563, 411, 477, 117, 438, 917, 169, 75, 77, 468, 308, 623, 923, 166, 168, 441, 690, 728, 125, 267, 69, 593, 696, 956, 578, 691, 261, 559, 877, 415, 421, 305, 358, 40, 820, 826, 426, 358, 529, 177, 663, 701, 854, 322, 450, 60, 340, 319, 528, 963, 363, 455, 619, 988, 559, 614, 737, 469, 935, 192, 209, 397, 393, 612, 721, 307, 366, 565, 795, 333, 12, 791, 265, 340, 89, 411, 60, 760, 93, 234, 457, 751, 404, 560, 274, 17, 211, 13, 865, 200, 629, 174, 475, 133, 37, 754, 3, 305, 177, 249, 24, 240, 110, 742, 486, 518, 67, 804, 780, 766, 840, 639, 846, 556, 22, 108, 344, 674, 282, 370, 576, 270, 217, 288, 377, 868, 258, 686, 944, 900, 501, 624, 26, 84, 866, 405, 958, 928, 244, 434, 590, 662, 271, 732, 360, 965, 727, 883, 292, 500, 820, 702, 89, 744, 434, 664, 360, 593, 93, 489, 80, 478, 82, 479, 569, 827, 840, 904, 579, 822, 556, 400, 703, 620, 919, 284, 957, 408, 215, 594, 870, 7, 427, 10, 928, 906, 45, 680, 928, 303, 330, 983, 812, 835, 332, 725, 103, 781, 130, 559, 741, 218, 575, 121, 475, 922, 823, 184, 325, 845, 491, 594, 570, 129, 937, 171, 253, 573, 380, 499, 740, 759, 142, 480, 233, 169, 15, 139, 687, 400, 787, 342, 183, 905, 870, 424, 738, 956, 337, 444, 106, 871, 59, 162, 355, 495, 345, 182, 607, 440, 313, 433, 879, 705, 818, 319, 57, 450, 26, 29, 891, 479, 697, 302, 46, 542, 300, 849, 789, 452, 681, 125, 554, 922, 357, 798, 578, 576, 940, 282, 883, 664, 244, 584, 228, 721, 673, 856, 477, 118, 58, 464, 842, 946, 378, 840, 557, 641, 211, 480, 399, 896, 654, 828, 625, 649, 20, 541, 574, 641, 863, 201, 709, 226, 164, 412, 495, 848, 229, 614, 711, 720, 183, 436, 532, 341, 801, 717, 821, 741, 565, 939, 153, 847, 131, 107, 579, 530, 424, 445, 684, 381, 107, 660, 201, 946, 896, 563, 550, 587, 167, 38, 560, 759, 752, 46, 143, 905, 188, 578, 146, 410, 180, 862, 914, 702, 759, 773, 588, 675, 880, 788, 39, 300, 441, 161, 584, 198, 65, 540, 326, 354, 244, 61, 126, 625, 297, 210, 539, 152, 299, 735, 225, 644, 239, 647, 382, 45, 232, 206, 97, 638, 872, 297, 480, 273, 56, 496, 716, 423, 617, 429, 168, 851, 933, 269, 195, 915, 128, 713, 301, 822, 620, 636, 161, 209, 165, 93, 529, 83, 896, 927, 888, 55, 665, 149, 977, 890, 327, 181, 426, 576, 867, 58, 337, 856, 394, 445, 142, 28, 861, 164, 557, 296, 733, 118, 332, 624, 931, 469, 259, 60, 930, 785, 550, 384, 716, 402, 609, 514, 108, 287, 863, 187, 634, 221, 736, 173, 187, 763, 429, 790, 424, 765, 417, 656, 718, 142, 702, 80, 40, 226, 841, 515, 709, 24, 602, 585, 904, 421, 252, 610, 637, 678, 948, 396, 176, 707, 685, 84, 446, 544}

    Returns: {0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0 }

  88. 990

    {819, 55, 757, 517, 398, 282, 631, 656, 429, 678, 371, 643, 429, 857, 175, 649, 464, 403, 733, 343, 475, 838, 412, 368, 273, 869, 966, 401, 765, 450, 226, 830, 713, 556, 855, 187, 26, 307, 653, 29, 876, 900, 746, 815, 6, 597, 280, 634, 457, 571, 573, 441, 493, 99, 968, 681, 139, 525, 429, 895, 773, 198, 851, 356, 711, 749, 84, 233, 817, 802, 421, 87, 902, 185, 746, 475, 583, 987, 922, 915, 173, 295, 657, 899, 874, 377, 608, 836, 40, 778, 268, 245, 114, 872, 64, 311, 956, 103, 21, 279, 85, 413, 638, 627, 255, 222, 282, 911, 908, 571, 696, 512, 853, 603, 150, 249, 10, 341, 479, 766, 551, 331, 653, 652, 552, 293, 198, 934, 571, 923, 250, 871, 522, 389, 172, 206, 809, 816, 483, 587, 151, 950, 913, 722, 967, 187, 563, 662, 840, 451, 875, 102, 819, 23, 976, 708, 178, 902, 614, 472, 246, 476, 419, 564, 438, 274, 325, 235, 921, 935, 964, 234, 778, 343, 863, 481, 935, 400, 246, 173, 928, 370, 842, 593, 597, 684, 989, 724, 138, 79, 121, 573, 217, 983, 371, 353, 289, 981, 292, 136, 513, 916, 753, 848, 70, 71, 376, 946, 311, 478, 808, 201, 729, 517, 305, 13, 640, 830, 220, 497, 327, 178, 710, 818, 190, 482, 89, 276, 897, 835, 436, 975, 455, 979, 552, 297, 831, 134, 893, 513, 84, 719, 817, 105, 529, 843, 578, 544, 885, 115, 551, 84, 688, 495, 908, 97, 384, 806, 773, 540, 169, 132, 405, 652, 522, 804, 591, 745, 763, 477, 64, 9, 104, 961, 30, 49, 120, 728, 887, 57, 532, 782, 5, 247, 719, 319, 432, 480, 313, 337, 298, 723, 374, 441, 739, 946, 438, 772, 813, 272, 314, 446, 510, 661, 351, 941, 308, 859, 834, 818, 12, 235, 925, 403, 279, 57, 235, 348, 256, 921, 509, 277, 3, 252, 18, 614, 586, 9, 362, 228, 220, 199, 964, 276, 254, 609, 528, 386, 295, 550, 781, 156, 319, 886, 460, 855, 88, 81, 110, 615, 720, 46, 699, 187, 504, 369, 647, 892, 929, 399, 746, 423, 698, 857, 887, 914, 391, 737, 810, 715, 137, 491, 240, 393, 982, 355, 716, 788, 319, 3, 527, 498, 378, 85, 564, 170, 199, 320, 389, 387, 109, 256, 88, 678, 948, 656, 912, 292, 432, 449, 973, 609, 706, 365, 886, 483, 352, 261, 959, 77, 22, 2, 836, 141, 829, 558, 74, 67, 405, 769, 197, 779, 339, 169, 7, 896, 276, 152, 72, 981, 466, 938, 158, 747, 819, 631, 91, 279, 862, 357, 874, 473, 635, 184, 592, 194, 476, 976, 360, 837, 843, 830, 764, 845, 646, 470, 648, 447, 950, 512, 44, 590, 844, 89, 163, 436, 480, 884, 557, 35, 25, 768, 99, 472, 498, 303, 769, 810, 436, 559, 349, 386, 32, 352, 611, 388, 186, 686, 749, 839, 793, 947, 309, 423, 711, 969, 297, 145, 502, 845, 744, 870, 570, 438, 377, 837, 911, 875, 671, 680, 552, 389, 702, 226, 742, 220, 87, 132, 481, 10, 700, 114, 652, 11, 622, 470, 691, 773, 879, 869, 369, 384, 548, 113, 706, 419, 510, 156, 161, 460, 460, 72, 680, 954, 68, 28, 763, 752, 543, 512, 680, 270, 811, 81, 615, 787, 636, 281, 671, 52, 755, 119, 902, 646, 435, 48, 814, 197, 904, 250, 360, 562, 863, 411, 380, 771, 878, 118, 357, 849, 768, 366, 157, 35, 379, 940, 383, 12, 939, 851, 347, 922, 82, 674, 471, 488, 725, 308, 384, 703, 906, 672, 295, 208, 594, 228, 210, 92, 750, 243, 758, 59, 90, 900, 492, 56, 375, 372, 252, 46, 745, 622, 171, 688, 487, 385, 940, 172, 435, 914, 728, 973, 730, 327, 238, 68, 109, 601, 260, 376, 227, 533, 190, 251, 720, 258, 535, 885, 602, 321, 225, 272, 616, 581, 289, 602, 614, 906, 672, 509, 869, 941, 557, 870, 357, 385, 213, 317, 935, 886, 758, 933, 325, 986, 328, 511, 643, 495, 441, 800, 527, 921, 181, 509, 831, 280, 974, 799, 445, 864, 421, 978, 119, 908, 356, 620, 521, 968, 181, 226, 461, 833, 40, 666, 448, 53, 982, 273, 663, 795, 168, 566, 451, 420, 656, 781, 934, 7, 486, 595, 392, 925, 188, 157, 815, 488, 543, 270, 182, 597, 410, 160, 928, 461, 145, 930, 504, 190, 267, 179, 448, 355, 213, 107, 960, 312, 854, 600, 593, 663, 933, 974, 586, 195, 259, 722, 779, 683, 255, 472, 380, 925, 216, 764, 985, 736, 538, 369, 392, 444, 88, 33, 727, 188, 548, 24, 435, 119, 156, 628, 406, 742, 449, 153, 75, 361, 177, 971, 949, 474, 532, 974, 322, 259, 786, 770, 166, 905, 947, 419, 134, 158, 529, 455, 608, 77, 676, 410, 433, 705, 898, 107, 430, 261, 52, 324, 31, 798, 988, 296, 54, 292, 312, 152, 209, 979, 307, 884, 799, 704, 305, 687, 232, 695, 486, 842, 503, 164, 523, 162, 981, 762, 302, 629, 318, 871, 708, 305, 654, 383, 375, 923, 238, 185, 480, 400, 938, 375, 744, 962, 528, 304, 699, 331, 965, 941, 641, 75, 309, 635, 620, 144, 41, 845, 918, 844, 300, 855, 755, 281, 916, 514, 162, 379, 468, 9, 141, 46, 918, 545, 359, 333, 986, 147, 822, 449, 702, 924, 380, 755, 846, 985, 875, 926, 951, 97, 408, 870, 531, 151, 771, 79, 570, 984, 917, 598, 655, 771, 242, 613, 48, 59, 454, 763, 339, 602, 837, 686, 302, 784, 255, 442, 525, 929, 157, 915, 234, 956, 253, 514, 539, 577, 918, 201, 743, 897, 27, 182, 508, 774, 246, 553, 795, 382, 227, 698, 167, 802, 311, 927, 127, 906, 504, 454, 900, 851, 13, 710, 98, 370, 781, 91, 298, 105, 446, 643, 91, 393, 252, 592, 408, 406, 353, 144, 249, 393, 806, 363, 517, 817, 368, 905, 756, 612, 284, 521, 115, 898, 27, 269, 227, 901, 823, 178, 467, 567, 461, 545, 126, 398, 960, 61, 257, 868, 160, 450, 183, 580, 162, 44, 95, 476, 833, 790, 787, 852, 849, 49, 892, 978, 10, 257, 849, 800, 516, 325, 677, 413, 840, 847, 338, 471, 678, 696, 976, 223, 308, 281, 188, 784, 772, 647, 173, 853, 588, 303, 245, 280, 593, 696, 978, 775, 791, 471, 581, 943, 433, 411, 14, 198, 973, 734, 212, 705, 225, 691, 839, 733, 836, 342, 146, 522, 901, 815, 27, 361, 889, 557, 885, 649, 705, 816, 979, 362, 899, 320, 11, 15, 264, 242, 131, 5, 949, 559, 811, 244, 92, 270, 951, 612, 877, 41, 376, 67, 12, 782, 421, 499, 966, 682, 169, 268, 175, 138, 161, 899, 515, 354, 762, 219, 803, 72, 987, 686, 1, 782, 141, 731, 262, 349, 4, 60, 7, 266, 475, 142, 446, 286, 857, 447, 444, 671, 329, 804, 601, 650, 834, 224, 377, 762, 17, 420, 240, 40, 887, 616, 654, 260, 975, 734, 893, 897, 709, 689, 514, 530, 503, 200, 223, 872, 923, 569, 968, 657, 79, 548, 818, 615, 310, 835, 647, 723, 905, 814, 452, 151, 352, 444, 653, 371, 499, 924, 806, 634, 212, 872, 951, 581, 641, 15, 888, 392, 959, 240, 884, 797, 209, 809, 207, 718, 171, 374, 793, 312, 253, 724, 261, 683, 700, 950, 693, 221, 262, 742, 442, 627, 788, 360, 216, 54, 339, 956, 661, 774, 275, 147, 492, 821, 959, 497, 20, 765, 57, 645, 753, 229, 15, 105, 174, 984, 71, 834, 915, 553, 962, 687, 399, 432, 486, 121, 719, 107, 553, 90, 120, 75, 147, 341, 843, 196, 284, 378, 803, 787, 554, 662, 969, 722, 492, 852, 131, 51, 911, 620, 980, 214, 804, 138, 865, 31, 209, 372, 594, 411, 551, 68, 53, 868, 301, 894, 503, 269, 820, 210, 386, 745, 439, 464, 95, 497, 612, 877, 519, 353, 606, 183, 142, 29, 980, 185, 433, 946, 534, 49, 199, 454, 822, 248, 534, 562, 662, 922, 56, 684, 104, 644, 570, 601, 572, 547, 555, 528, 534, 724, 90, 871, 672, 473, 278, 458, 297, 302, 337, 515, 192, 591, 540, 654, 540, 346, 795, 575, 703, 516, 247, 797, 747, 947, 808, 677, 94, 569, 526, 354, 137, 262, 445, 984, 580, 499, 221, 810, 342, 59, 327, 237, 801, 691, 631, 793, 196, 708, 608, 445, 576, 122, 335, 447, 909, 250, 684, 535, 977, 238, 764, 114, 578, 320, 387, 287, 835, 944, 963, 401, 695, 61, 413, 296, 930, 171, 223, 772, 809, 131, 731, 521, 676, 110, 703, 799, 282, 381, 962, 573, 645, 917, 322, 695, 253, 547, 983, 362, 149, 428, 604, 575, 488, 550, 642, 52, 359, 788, 315, 989, 938, 450, 510, 550, 611, 36, 590, 862, 291, 598, 681, 468, 408, 167, 495, 632, 572, 734, 237, 245, 645}

    {904, 774, 657, 821, 83, 541, 660, 337, 873, 674, 231, 697, 206, 113, 233, 563, 777, 715, 919, 214, 790, 706, 610, 854, 108, 732, 367, 347, 489, 160, 574, 636, 116, 483, 458, 289, 239, 536, 664, 301, 953, 530, 525, 203, 929, 130, 63, 170, 296, 242, 121, 24, 594, 168, 200, 826, 591, 828, 146, 726, 195, 821, 431, 239, 194, 153, 692, 679, 972, 895, 427, 850, 965, 498, 565, 694, 16, 288, 399, 484, 490, 524, 155, 637, 395, 515, 66, 599, 754, 462, 248, 154, 599, 862, 390, 670, 829, 985, 340, 17, 364, 832, 53, 829, 106, 396, 500, 610, 356, 314, 342, 533, 707, 359, 735, 567, 466, 66, 111, 565, 577, 306, 122, 134, 621, 172, 208, 278, 574, 679, 500, 505, 754, 823, 576, 87, 62, 939, 440, 651, 37, 260, 527, 655, 685, 585, 559, 321, 428, 903, 394, 910, 179, 425, 165, 879, 155, 39, 194, 163, 584, 58, 846, 847, 537, 609, 694, 554, 394, 568, 22, 286, 214, 827, 674, 796, 149, 124, 230, 544, 629, 143, 813, 256, 465, 538, 881, 812, 895, 496, 538, 584, 721, 326, 101, 265, 957, 520, 487, 154, 566, 519, 789, 833, 516, 493, 398, 50, 385, 753, 453, 193, 634, 410, 108, 47, 47, 660, 456, 910, 640, 741, 882, 692, 651, 236, 945, 783, 761, 661, 967, 324, 258, 564, 414, 266, 431, 555, 854, 613, 917, 332, 690, 732, 407, 493, 970, 110, 231, 25, 251, 416, 116, 180, 315, 926, 658, 159, 575, 861, 693, 189, 865, 93, 644, 230, 760, 218, 629, 641, 34, 73, 128, 115, 687, 673, 267, 166, 728, 519, 367, 595, 587, 685, 901, 848, 318, 355, 877, 718, 750, 713, 100, 826, 463, 542, 576, 395, 470, 541, 387, 767, 205, 750, 86, 760, 364, 19, 860, 416, 69, 50, 193, 434, 361, 824, 322, 148, 402, 743, 823, 561, 796, 177, 35, 711, 883, 125, 675, 45, 812, 759, 841, 635, 800, 224, 618, 422, 639, 16, 298, 406, 98, 481, 880, 366, 137, 638, 664, 668, 977, 6, 953, 970, 892, 51, 639, 626, 426, 439, 693, 589, 972, 583, 490, 304, 702, 306, 264, 128, 241, 309, 243, 928, 786, 159, 241, 704, 201, 16, 658, 58, 417, 275, 129, 717, 748, 699, 42, 866, 230, 2, 607, 605, 814, 952, 123, 616, 207, 961, 545, 346, 533, 225, 21, 124, 952, 796, 683, 275, 83, 402, 868, 692, 589, 898, 547, 129, 404, 544, 422, 412, 204, 468, 776, 710, 539, 111, 288, 914, 330, 221, 937, 118, 919, 501, 170, 291, 467, 467, 638, 717, 78, 789, 17, 749, 757, 457, 428, 874, 336, 850, 666, 117, 326, 103, 80, 237, 73, 623, 932, 491, 55, 426, 106, 263, 694, 271, 633, 603, 986, 8, 977, 0, 556, 883, 122, 469, 955, 858, 345, 878, 507, 78, 988, 931, 67, 174, 211, 6, 646, 958, 659, 60, 266, 926, 825, 628, 893, 218, 330, 927, 619, 254, 2, 222, 379, 396, 66, 128, 215, 971, 18, 344, 943, 373, 567, 335, 890, 983, 434, 606, 351, 931, 347, 873, 478, 290, 972, 881, 331, 211, 182, 378, 506, 668, 351, 80, 754, 613, 659, 676, 165, 832, 363, 866, 758, 822, 761, 506, 880, 206, 424, 189, 192, 546, 285, 681, 805, 382, 511, 640, 580, 958, 766, 632, 920, 315, 622, 649, 596, 864, 876, 85, 924, 876, 288, 769, 415, 272, 133, 228, 880, 726, 36, 518, 348, 303, 617, 669, 816, 299, 401, 442, 283, 666, 670, 539, 825, 74, 4, 118, 31, 29, 604, 907, 222, 858, 936, 89, 588, 247, 982, 267, 530, 98, 62, 651, 675, 300, 770, 179, 405, 713, 212, 565, 208, 944, 54, 301, 625, 205, 598, 140, 779, 689, 409, 407, 777, 894, 913, 623, 236, 578, 943, 473, 180, 569, 430, 957, 1, 299, 963, 739, 321, 463, 202, 784, 768, 158, 709, 265, 345, 234, 197, 453, 39, 667, 738, 203, 286, 20, 856, 418, 181, 215, 852, 932, 323, 484, 505, 76, 94, 785, 494, 74, 826, 618, 394, 69, 96, 464, 127, 667, 26, 513, 720, 427, 558, 866, 751, 217, 96, 92, 111, 313, 807, 668, 232, 907, 639, 175, 859, 241, 338, 277, 418, 506, 732, 284, 174, 307, 988, 104, 861, 903, 625, 636, 130, 637, 462, 313, 30, 490, 739, 415, 561, 465, 95, 733, 549, 856, 913, 752, 714, 673, 440, 349, 70, 807, 466, 448, 388, 844, 409, 294, 36, 716, 259, 443, 42, 217, 912, 316, 689, 744, 0, 824, 723, 975, 856, 942, 698, 549, 60, 323, 670, 263, 404, 204, 865, 954, 78, 370, 20, 244, 183, 489, 22, 496, 756, 479, 69, 443, 257, 117, 8, 19, 736, 797, 485, 489, 176, 729, 341, 961, 283, 463, 585, 879, 200, 93, 462, 340, 109, 980, 714, 626, 373, 491, 333, 224, 424, 474, 70, 102, 721, 350, 841, 332, 729, 630, 807, 669, 766, 285, 229, 403, 987, 383, 430, 882, 960, 665, 535, 143, 949, 712, 790, 43, 930, 632, 673, 741, 28, 944, 123, 523, 955, 202, 894, 827, 919, 555, 505, 414, 600, 13, 164, 952, 679, 26, 363, 100, 80, 748, 792, 802, 760, 324, 86, 390, 424, 610, 437, 712, 277, 945, 811, 737, 391, 437, 624, 624, 51, 25, 633, 785, 971, 621, 777, 146, 367, 940, 440, 520, 82, 630, 453, 825, 605, 611, 740, 619, 184, 577, 152, 33, 507, 434, 457, 397, 889, 927, 145, 518, 76, 14, 759, 558, 568, 150, 531, 957, 909, 741, 665, 218, 891, 94, 934, 839, 334, 910, 395, 133, 407, 465, 76, 832, 579, 955, 477, 579, 37, 177, 792, 726, 725, 630, 933, 650, 336, 39, 794, 346, 736, 437, 599, 37, 936, 192, 112, 882, 786, 103, 108, 219, 891, 751, 863, 648, 139, 283, 501, 232, 32, 354, 628, 135, 58, 903, 210, 345, 126, 524, 278, 644, 776, 890, 701, 752, 937, 757, 62, 41, 166, 205, 316, 690, 748, 805, 780, 536, 526, 526, 83, 143, 43, 381, 794, 502, 596, 420, 77, 697, 126, 348, 112, 73, 330, 588, 23, 556, 136, 314, 219, 99, 606, 193, 546, 667, 142, 730, 715, 867, 624, 812, 655, 707, 81, 714, 8, 4, 780, 820, 785, 562, 42, 300, 642, 65, 273, 65, 778, 759, 792, 546, 542, 520, 306, 890, 669, 891, 136, 71, 945, 33, 721, 329, 249, 867, 824, 180, 176, 291, 202, 123, 579, 23, 727, 735, 596, 358, 287, 942, 14, 34, 43, 574, 838, 482, 135, 425, 469, 133, 859, 268, 400, 366, 508, 248, 675, 848, 542, 541, 64, 372, 682, 189, 881, 873, 165, 477, 96, 130, 402, 501, 725, 619, 34, 239, 422, 11, 765, 316, 184, 704, 627, 458, 390, 5, 494, 658, 716, 617, 665, 663, 44, 605, 294, 794, 426, 409, 494, 161, 964, 831, 920, 896, 761, 888, 167, 650, 664, 623, 32, 791, 323, 583, 537, 747, 989, 660, 867, 120, 414, 803, 328, 317, 48, 106, 459, 254, 294, 117, 798, 791, 543, 478, 38, 388, 451, 365, 524, 211, 191, 479, 244, 149, 770, 948, 888, 125, 274, 775, 293, 827, 391, 427, 607, 554, 507, 251, 61, 801, 1, 144, 203, 191, 148, 482, 127, 412, 690, 373, 21, 28, 233, 258, 808, 18, 589, 38, 735, 587, 485, 847, 907, 531, 304, 100, 336, 452, 364, 418, 350, 343, 159, 186, 326, 154, 332, 124, 416, 271, 328, 828, 586, 30, 626, 727, 368, 397, 889, 740, 425, 417, 828, 443, 560, 560, 685, 767, 229, 397, 338, 271, 798, 176, 439, 381, 459, 783, 883, 585, 204, 24, 511, 813, 529, 93, 148, 659, 496, 97, 231, 45, 334, 290, 920, 637, 936, 718, 582, 842, 396, 186, 969, 358, 265, 340, 688, 682, 317, 374, 858, 801, 621, 536, 912, 335, 485, 805, 129, 860, 953, 518, 456, 502, 730, 864, 101, 648, 452, 153, 737, 697, 163, 931, 970, 563, 102, 568, 566, 853, 780, 274, 712, 63, 731, 860, 738, 456, 740, 965, 310, 642, 783, 216, 701, 954, 191, 937, 455, 350, 113, 344, 932, 776, 45, 168, 63, 365, 140, 717, 751, 140, 709, 767, 707, 382, 132, 285, 344, 236, 743, 677, 701, 287, 603, 334, 582, 263, 958, 942, 125, 604, 850, 967, 487, 618, 215, 966, 484, 592, 532, 150, 700, 19, 0, 861, 290, 469, 299, 840, 243, 904, 607, 423, 789, 155, 431, 617, 838, 139, 38, 164, 523, 264, 459, 756, 775, 963, 560, 55, 878, 310, 50, 358, 595, 269, 213, 101, 293, 561, 116, 196, 841, 820, 47, 135, 584, 56, 112, 195, 500, 3, 572, 738, 633, 916, 415, 333, 600, 508, 86, 318, 549, 404, 909, 65, 625, 582, 474, 896, 939, 329, 417, 590, 846, 207, 82, 948, 537}

    Returns: {1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1 }

  89. 990

    {144, 249, 521, 355, 697, 71, 39, 572, 581, 215, 104, 572, 426, 933, 732, 245, 133, 743, 839, 558, 419, 313, 928, 117, 905, 595, 302, 534, 694, 247, 277, 828, 230, 109, 767, 57, 932, 325, 375, 642, 988, 652, 560, 78, 167, 751, 720, 104, 895, 74, 781, 870, 11, 433, 896, 165, 364, 543, 466, 978, 826, 8, 606, 132, 285, 20, 352, 723, 468, 303, 411, 751, 735, 282, 364, 590, 53, 783, 847, 435, 533, 891, 269, 627, 518, 772, 198, 264, 3, 57, 248, 643, 846, 932, 440, 807, 278, 680, 64, 600, 50, 309, 480, 26, 315, 268, 844, 917, 228, 314, 727, 204, 705, 488, 684, 471, 872, 185, 663, 8, 645, 767, 728, 708, 837, 184, 55, 622, 970, 575, 814, 755, 952, 152, 176, 344, 44, 97, 807, 132, 783, 594, 220, 647, 563, 714, 61, 676, 751, 725, 22, 903, 471, 847, 653, 579, 419, 274, 674, 685, 463, 976, 239, 184, 585, 888, 295, 691, 159, 705, 465, 325, 199, 764, 779, 236, 562, 789, 951, 740, 839, 260, 17, 895, 806, 385, 91, 976, 253, 160, 107, 772, 933, 98, 508, 569, 903, 841, 525, 978, 399, 709, 539, 629, 467, 549, 473, 734, 908, 27, 112, 860, 282, 387, 466, 133, 501, 721, 857, 336, 726, 937, 745, 615, 217, 470, 786, 666, 643, 966, 69, 261, 500, 403, 899, 706, 396, 541, 293, 689, 437, 120, 945, 431, 667, 32, 180, 180, 618, 94, 327, 788, 856, 302, 896, 795, 167, 493, 583, 351, 806, 350, 6, 307, 239, 74, 249, 744, 436, 266, 699, 618, 547, 55, 542, 271, 152, 519, 731, 435, 459, 615, 725, 520, 246, 356, 967, 725, 4, 946, 555, 962, 66, 253, 536, 962, 763, 486, 687, 549, 710, 312, 156, 305, 23, 410, 79, 132, 923, 96, 155, 716, 550, 317, 755, 510, 71, 56, 157, 958, 835, 250, 573, 497, 916, 711, 531, 977, 251, 421, 289, 669, 523, 96, 692, 571, 468, 65, 676, 33, 67, 659, 893, 463, 974, 861, 587, 931, 102, 948, 575, 42, 61, 136, 27, 357, 105, 390, 165, 156, 39, 111, 870, 544, 494, 459, 754, 91, 301, 410, 781, 666, 740, 138, 389, 710, 542, 48, 593, 639, 81, 218, 597, 15, 856, 572, 900, 485, 939, 397, 949, 446, 427, 939, 219, 141, 379, 636, 427, 361, 806, 594, 226, 50, 517, 948, 558, 551, 907, 305, 840, 387, 972, 612, 677, 378, 318, 454, 911, 462, 614, 707, 304, 982, 95, 583, 811, 72, 670, 509, 740, 195, 479, 973, 381, 912, 535, 350, 635, 571, 403, 53, 885, 795, 120, 399, 318, 707, 69, 967, 161, 526, 774, 578, 964, 170, 767, 128, 554, 544, 942, 67, 765, 941, 571, 940, 851, 569, 868, 347, 267, 859, 410, 323, 718, 421, 236, 500, 816, 414, 933, 604, 982, 800, 106, 415, 649, 40, 487, 365, 710, 758, 598, 491, 102, 185, 405, 344, 58, 761, 26, 660, 860, 540, 771, 449, 14, 158, 660, 205, 456, 541, 254, 816, 433, 849, 817, 362, 135, 199, 317, 550, 945, 897, 727, 188, 11, 943, 707, 851, 887, 879, 142, 779, 125, 514, 554, 655, 774, 599, 629, 252, 441, 398, 850, 479, 394, 388, 916, 395, 271, 318, 938, 927, 706, 184, 771, 846, 568, 189, 129, 64, 902, 425, 378, 212, 354, 98, 763, 222, 677, 422, 749, 230, 603, 68, 5, 103, 91, 39, 273, 606, 310, 438, 303, 711, 247, 128, 411, 870, 23, 349, 501, 972, 961, 780, 508, 533, 87, 584, 420, 588, 176, 556, 292, 211, 501, 632, 444, 776, 888, 231, 427, 474, 876, 56, 941, 909, 959, 768, 880, 306, 603, 22, 787, 35, 665, 444, 207, 490, 741, 382, 891, 893, 156, 168, 343, 444, 522, 563, 121, 431, 166, 260, 99, 376, 891, 625, 554, 969, 902, 478, 744, 462, 544, 30, 290, 261, 333, 937, 179, 124, 247, 908, 118, 315, 604, 338, 44, 22, 357, 49, 69, 818, 670, 509, 582, 629, 546, 498, 737, 846, 237, 328, 923, 854, 889, 647, 631, 844, 290, 920, 906, 783, 497, 897, 151, 241, 733, 401, 76, 913, 321, 836, 420, 109, 457, 373, 259, 547, 317, 875, 893, 960, 687, 693, 626, 793, 966, 157, 693, 43, 808, 188, 829, 343, 847, 614, 935, 528, 611, 964, 203, 460, 32, 208, 829, 258, 835, 857, 672, 166, 45, 395, 466, 485, 928, 577, 755, 89, 560, 570, 903, 159, 211, 528, 385, 512, 581, 457, 616, 597, 495, 687, 898, 378, 918, 680, 228, 951, 885, 730, 60, 238, 226, 386, 289, 684, 899, 237, 708, 947, 374, 352, 449, 33, 712, 79, 833, 87, 955, 593, 881, 674, 258, 737, 593, 706, 176, 218, 717, 920, 703, 493, 7, 36, 782, 520, 143, 273, 922, 312, 771, 263, 916, 632, 540, 21, 530, 112, 850, 153, 871, 79, 585, 963, 496, 899, 58, 467, 521, 765, 261, 754, 576, 244, 512, 129, 904, 123, 979, 805, 448, 909, 100, 635, 570, 343, 672, 659, 305, 463, 492, 84, 65, 321, 810, 411, 382, 168, 587, 455, 430, 448, 970, 798, 322, 791, 537, 984, 1, 604, 495, 19, 244, 400, 406, 88, 303, 310, 669, 236, 782, 627, 66, 700, 547, 825, 712, 553, 47, 843, 865, 648, 786, 867, 831, 743, 788, 864, 41, 668, 75, 550, 519, 374, 230, 177, 540, 951, 556, 263, 658, 386, 793, 894, 974, 894, 384, 481, 356, 430, 237, 650, 397, 389, 988, 786, 952, 797, 429, 274, 121, 651, 136, 745, 851, 282, 760, 83, 659, 675, 478, 729, 141, 423, 426, 15, 405, 350, 467, 752, 793, 395, 946, 388, 393, 413, 403, 47, 901, 523, 790, 532, 650, 779, 543, 178, 833, 462, 976, 886, 233, 5, 170, 778, 472, 183, 240, 797, 518, 822, 47, 628, 958, 362, 773, 194, 306, 528, 354, 161, 573, 106, 341, 228, 429, 125, 493, 243, 443, 195, 970, 14, 510, 857, 657, 607, 210, 43, 505, 283, 191, 741, 148, 270, 523, 121, 113, 494, 306, 586, 568, 592, 2, 615, 676, 166, 11, 84, 531, 598, 393, 335, 698, 252, 70, 362, 324, 102, 505, 113, 391, 472, 67, 645, 45, 426, 868, 101, 500, 126, 708, 928, 619, 724, 355, 773, 189, 861, 188, 716, 319, 49, 600, 270, 765, 295, 111, 142, 249, 187, 892, 108, 808, 110, 789, 838, 43, 179, 233, 915, 972, 837, 429, 126, 98, 867, 637, 298, 865, 246, 823, 566, 74, 938, 235, 542, 285, 377, 162, 570, 522, 238, 726, 880, 930, 922, 221, 561, 453, 54, 136, 749, 780, 667, 825, 30, 932, 212, 208, 126, 446, 664, 502, 714, 892, 275, 406, 101, 859, 198, 963, 670, 83, 197, 210, 195, 584, 688, 672, 5, 302, 647, 807, 193, 142, 754, 277, 194, 555, 940, 543, 730, 45, 479, 355, 95, 757, 905, 177, 717, 296, 926, 202, 718, 667, 198, 48, 161, 130, 314, 251, 320, 888, 871, 388, 99, 664, 106, 3, 965, 333, 757, 938, 153, 182, 510, 681, 97, 602, 454, 800, 456, 735, 117, 101, 781, 717, 800, 157, 1, 720, 918, 162, 777, 382, 96, 193, 713, 639, 145, 217, 376, 564, 949, 829, 521, 284, 472, 612, 109, 288, 23, 831, 347, 134, 648, 191, 385, 81, 564, 491, 270, 613, 224, 940, 652, 99, 259, 244, 875, 81, 652, 937, 880, 75, 84, 58, 364, 389, 298, 691, 40, 313, 628, 486, 922, 285, 155, 982, 645, 557, 194, 480, 648, 352, 757, 125, 734, 322, 465, 220, 897, 590, 480, 292, 902, 118, 57, 320, 301, 603, 263, 830, 478, 832, 674, 907, 168, 741, 618, 814, 587, 424, 408, 3, 407, 129, 340, 861, 134, 295, 822, 71, 425, 271, 373, 207, 790, 245, 839, 133, 895, 32, 530, 522, 733, 391, 497, 954, 110, 841, 208, 795, 776, 111, 753, 33, 440, 926, 694, 375, 274, 774, 967, 527, 981, 760, 924, 163, 174, 834, 612, 681, 805, 260, 804, 390, 735, 396, 417, 284, 743, 878, 745, 758, 860, 212, 947, 424, 220, 196, 960, 494, 520, 722, 985, 54, 72, 488, 390, 594, 563, 945, 118, 562, 110, 76, 770, 924, 912, 165, 920, 4, 692, 425, 809, 398, 838, 526, 762, 292, 607, 112, 772, 887, 401, 790, 749, 584, 424, 179, 537, 417, 331, 758, 405, 53, 445, 808, 436, 489, 747, 56, 61, 805, 124, 97, 934, 576, 733, 301, 915, 90, 566, 907, 824, 414, 551, 843, 372, 423, 243, 728, 64, 117, 492, 526, 496, 138, 906, 420, 63, 533, 62, 421, 489, 960, 689, 82, 8, 289, 868, 841, 828, 981, 211, 906, 361, 537, 169, 581, 649, 322, 357, 167, 457, 562, 391, 373, 2, 83, 569, 130, 63, 433, 539, 837, 386, 728, 54, 299, 226, 714}

    {822, 342, 599, 491, 465, 610, 316, 502, 73, 257, 28, 399, 565, 272, 214, 80, 869, 921, 984, 329, 0, 595, 268, 538, 930, 281, 37, 742, 545, 644, 381, 392, 139, 655, 852, 172, 337, 622, 438, 926, 809, 701, 784, 104, 116, 70, 214, 206, 505, 854, 921, 627, 511, 400, 565, 144, 147, 339, 722, 86, 567, 968, 631, 671, 636, 825, 640, 859, 286, 267, 878, 359, 792, 269, 815, 281, 963, 720, 46, 511, 877, 288, 461, 855, 935, 506, 986, 524, 103, 283, 813, 980, 887, 475, 599, 742, 597, 623, 876, 545, 432, 138, 908, 794, 283, 737, 752, 590, 695, 696, 394, 333, 327, 114, 115, 221, 962, 968, 308, 434, 719, 372, 223, 661, 222, 197, 477, 30, 591, 34, 536, 750, 201, 633, 844, 686, 316, 173, 574, 27, 515, 684, 354, 115, 468, 637, 159, 689, 704, 858, 616, 280, 309, 711, 539, 845, 626, 255, 869, 575, 408, 854, 682, 662, 620, 186, 595, 202, 596, 192, 264, 601, 879, 218, 739, 866, 227, 368, 913, 980, 105, 93, 827, 766, 442, 812, 407, 311, 341, 18, 366, 675, 73, 14, 630, 955, 628, 969, 316, 381, 372, 393, 955, 254, 777, 582, 124, 483, 959, 931, 164, 914, 696, 785, 816, 149, 646, 200, 63, 279, 914, 383, 821, 804, 25, 748, 791, 160, 721, 146, 348, 461, 217, 36, 701, 93, 675, 979, 50, 235, 925, 578, 291, 178, 715, 59, 640, 644, 187, 209, 833, 971, 369, 691, 817, 443, 0, 605, 345, 471, 529, 418, 515, 842, 450, 503, 567, 651, 886, 162, 492, 379, 738, 12, 756, 73, 51, 919, 756, 901, 304, 742, 845, 380, 917, 409, 21, 321, 204, 748, 752, 262, 37, 437, 759, 82, 904, 266, 329, 630, 239, 147, 502, 792, 698, 511, 185, 392, 323, 242, 956, 286, 796, 290, 634, 447, 535, 561, 616, 248, 532, 256, 641, 927, 35, 219, 624, 966, 181, 366, 882, 944, 216, 678, 617, 864, 172, 100, 293, 753, 51, 692, 434, 360, 90, 68, 474, 865, 392, 802, 264, 538, 36, 579, 9, 832, 568, 190, 638, 983, 813, 15, 158, 19, 88, 175, 894, 192, 315, 183, 432, 756, 397, 651, 621, 404, 18, 450, 769, 20, 278, 798, 174, 704, 557, 135, 981, 623, 961, 276, 402, 697, 552, 778, 46, 858, 48, 475, 401, 345, 256, 143, 867, 834, 25, 257, 272, 280, 229, 80, 856, 105, 613, 108, 379, 334, 232, 799, 583, 948, 122, 367, 115, 450, 883, 553, 92, 365, 775, 482, 200, 589, 319, 964, 608, 82, 320, 24, 582, 836, 596, 657, 848, 513, 339, 637, 2, 834, 442, 242, 661, 331, 277, 853, 931, 989, 409, 877, 312, 205, 690, 820, 1, 787, 207, 103, 377, 662, 969, 703, 476, 416, 936, 29, 985, 307, 224, 209, 52, 353, 329, 900, 144, 119, 331, 656, 227, 662, 31, 718, 657, 213, 319, 818, 729, 873, 229, 849, 705, 120, 154, 736, 780, 488, 580, 279, 340, 149, 739, 150, 534, 348, 650, 561, 383, 884, 835, 370, 356, 186, 92, 624, 413, 961, 234, 682, 824, 763, 690, 910, 516, 370, 416, 810, 313, 369, 801, 750, 529, 16, 527, 151, 609, 881, 19, 460, 912, 358, 417, 46, 201, 21, 784, 558, 956, 412, 712, 804, 42, 683, 358, 440, 335, 484, 875, 513, 29, 863, 476, 456, 441, 815, 225, 175, 770, 507, 789, 119, 724, 44, 213, 296, 151, 555, 943, 589, 291, 127, 227, 700, 49, 936, 348, 13, 147, 640, 490, 241, 408, 892, 200, 469, 281, 942, 702, 86, 122, 190, 75, 173, 545, 939, 470, 785, 885, 326, 13, 41, 77, 347, 455, 435, 384, 782, 683, 414, 802, 300, 881, 549, 600, 548, 280, 10, 499, 416, 308, 673, 658, 898, 959, 953, 409, 326, 828, 574, 140, 253, 764, 122, 342, 986, 234, 294, 797, 736, 137, 314, 936, 251, 853, 275, 869, 750, 943, 668, 287, 137, 746, 872, 475, 950, 250, 87, 181, 222, 702, 694, 620, 374, 127, 975, 37, 141, 605, 503, 458, 551, 477, 874, 904, 42, 573, 732, 216, 422, 361, 127, 484, 35, 439, 380, 602, 265, 980, 946, 863, 930, 455, 145, 917, 699, 968, 925, 753, 254, 548, 653, 340, 727, 370, 884, 365, 638, 842, 664, 654, 250, 496, 530, 958, 591, 929, 128, 681, 610, 334, 339, 791, 460, 890, 680, 332, 219, 148, 62, 233, 363, 448, 794, 342, 78, 139, 163, 608, 196, 693, 266, 910, 146, 744, 913, 889, 927, 606, 119, 483, 135, 576, 506, 942, 349, 919, 713, 954, 291, 949, 827, 507, 802, 458, 351, 25, 149, 255, 171, 577, 665, 192, 866, 633, 359, 803, 452, 487, 620, 686, 52, 679, 276, 76, 538, 193, 973, 621, 353, 116, 89, 451, 609, 95, 422, 31, 116, 592, 803, 721, 172, 174, 169, 447, 439, 476, 723, 341, 481, 633, 140, 206, 746, 556, 559, 359, 13, 722, 152, 308, 123, 246, 518, 978, 729, 655, 609, 180, 702, 918, 363, 987, 863, 150, 243, 919, 232, 413, 209, 736, 131, 351, 294, 346, 660, 619, 596, 29, 114, 177, 508, 131, 387, 845, 585, 367, 454, 197, 941, 171, 484, 679, 911, 337, 957, 872, 464, 215, 644, 469, 160, 663, 310, 818, 223, 973, 70, 896, 288, 123, 876, 688, 398, 814, 223, 94, 527, 60, 300, 68, 498, 114, 196, 432, 626, 190, 464, 820, 929, 231, 762, 464, 213, 503, 886, 434, 840, 764, 428, 516, 817, 216, 150, 311, 642, 748, 234, 673, 7, 788, 666, 524, 256, 977, 953, 487, 605, 559, 819, 567, 269, 415, 709, 617, 375, 40, 447, 592, 831, 777, 452, 353, 956, 402, 201, 300, 630, 514, 428, 578, 154, 836, 10, 819, 715, 900, 368, 473, 643, 983, 730, 334, 513, 586, 536, 504, 954, 418, 905, 453, 206, 332, 380, 323, 495, 272, 294, 598, 224, 607, 679, 773, 866, 245, 719, 671, 617, 719, 546, 677, 862, 241, 686, 823, 286, 826, 624, 695, 746, 377, 38, 987, 72, 882, 358, 911, 552, 182, 566, 690, 983, 883, 843, 879, 437, 525, 565, 950, 642, 344, 557, 368, 588, 335, 240, 276, 499, 698, 830, 882, 191, 529, 445, 498, 20, 16, 625, 541, 483, 504, 9, 703, 451, 759, 631, 287, 653, 965, 977, 579, 92, 849, 873, 635, 273, 709, 669, 34, 785, 154, 985, 704, 747, 268, 661, 713, 509, 819, 731, 24, 827, 311, 324, 469, 874, 766, 975, 485, 490, 848, 769, 482, 910, 31, 658, 734, 683, 158, 428, 812, 732, 419, 52, 671, 173, 299, 328, 384, 86, 461, 601, 988, 443, 325, 696, 524, 577, 423, 499, 611, 229, 641, 486, 665, 761, 441, 929, 430, 330, 287, 205, 418, 641, 153, 506, 723, 507, 482, 400, 371, 768, 646, 28, 267, 842, 747, 883, 901, 85, 326, 515, 262, 965, 328, 107, 716, 336, 371, 275, 442, 258, 759, 889, 60, 18, 787, 821, 812, 338, 586, 738, 445, 371, 439, 531, 6, 0, 826, 307, 232, 792, 953, 383, 225, 830, 890, 809, 80, 279, 580, 367, 366, 987, 394, 673, 402, 803, 363, 146, 947, 12, 768, 775, 884, 923, 602, 636, 663, 6, 113, 235, 815, 62, 534, 38, 489, 330, 412, 181, 855, 731, 766, 514, 396, 853, 504, 248, 189, 155, 890, 451, 453, 821, 51, 934, 794, 140, 762, 649, 225, 12, 864, 284, 739, 178, 257, 412, 137, 139, 986, 824, 516, 695, 481, 654, 199, 265, 77, 639, 100, 297, 438, 78, 299, 989, 738, 974, 811, 38, 560, 784, 811, 55, 131, 182, 134, 262, 799, 761, 975, 855, 685, 202, 796, 638, 404, 984, 349, 957, 934, 632, 820, 24, 459, 770, 874, 682, 601, 170, 169, 186, 327, 517, 654, 345, 700, 823, 278, 59, 724, 685, 231, 971, 175, 449, 436, 810, 850, 203, 769, 952, 164, 293, 553, 369, 338, 336, 619, 898, 796, 925, 415, 255, 634, 59, 921, 944, 89, 145, 360, 376, 265, 589, 324, 77, 798, 915, 259, 622, 187, 452, 799, 297, 204, 588, 298, 210, 656, 26, 93, 989, 613, 473, 778, 28, 701, 668, 726, 871, 7, 346, 699, 914, 346, 309, 404, 924, 183, 813, 88, 337, 407, 34, 10, 238, 532, 852, 171, 431, 944, 552, 94, 559, 525, 4, 564, 878, 634, 66, 909, 446, 41, 580, 656, 608, 304, 512, 360, 163, 9, 697, 776, 519, 957, 838, 296, 458, 801, 832, 760, 332, 470, 143, 678, 623, 862, 148, 477, 848, 252, 240, 873, 950, 548, 164, 90, 85, 546, 862, 130, 17, 625, 16, 297, 215, 214, 646, 715, 591, 85, 614, 971, 474, 610, 406, 688, 535, 517, 574, 221, 611, 621, 801, 840, 242, 979, 330, 107, 877, 775, 935, 108, 65, 678, 203, 858, 17, 852}

    Returns: {0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0 }

  90. 990

    {765, 212, 4, 447, 19, 870, 604, 847, 317, 39, 536, 477, 355, 681, 493, 677, 775, 446, 739, 461, 579, 609, 540, 503, 983, 812, 585, 469, 394, 931, 248, 66, 541, 422, 520, 936, 840, 509, 98, 120, 437, 768, 570, 617, 52, 381, 165, 764, 53, 66, 560, 954, 760, 923, 774, 52, 851, 332, 807, 426, 388, 741, 675, 658, 673, 903, 289, 624, 35, 418, 776, 731, 331, 952, 847, 644, 570, 140, 407, 445, 265, 436, 861, 273, 472, 504, 0, 698, 222, 297, 831, 509, 743, 125, 911, 356, 516, 287, 324, 935, 374, 46, 326, 143, 455, 788, 976, 350, 102, 665, 203, 761, 806, 131, 320, 771, 376, 321, 913, 657, 266, 110, 525, 955, 175, 929, 712, 255, 46, 306, 606, 93, 441, 137, 901, 250, 132, 937, 848, 0, 123, 738, 853, 149, 866, 785, 543, 934, 12, 849, 810, 422, 161, 702, 105, 165, 372, 348, 259, 522, 522, 604, 519, 175, 788, 217, 449, 926, 371, 187, 854, 485, 729, 403, 277, 98, 924, 844, 213, 129, 692, 272, 918, 293, 473, 749, 459, 722, 710, 737, 467, 508, 649, 173, 653, 835, 331, 760, 286, 228, 357, 266, 420, 801, 389, 540, 232, 89, 887, 87, 274, 54, 491, 754, 494, 383, 911, 74, 23, 722, 11, 343, 596, 841, 467, 246, 125, 128, 554, 833, 558, 214, 156, 543, 408, 905, 919, 128, 783, 878, 95, 75, 985, 327, 116, 190, 250, 46, 848, 586, 677, 115, 214, 87, 307, 398, 789, 811, 23, 740, 50, 380, 801, 291, 715, 764, 268, 232, 799, 560, 663, 631, 278, 31, 465, 238, 921, 981, 376, 94, 972, 274, 956, 436, 50, 18, 228, 687, 434, 236, 717, 133, 985, 240, 591, 505, 945, 116, 356, 828, 290, 515, 987, 301, 331, 274, 335, 922, 99, 441, 437, 236, 978, 216, 655, 584, 927, 557, 845, 104, 491, 885, 58, 595, 347, 374, 755, 485, 391, 582, 960, 392, 179, 62, 324, 37, 248, 60, 900, 888, 828, 302, 379, 226, 975, 806, 899, 92, 408, 129, 746, 246, 435, 358, 263, 361, 189, 700, 119, 240, 66, 664, 319, 316, 537, 157, 928, 934, 531, 847, 449, 962, 543, 823, 182, 949, 839, 749, 217, 204, 748, 882, 251, 122, 597, 542, 386, 260, 540, 459, 259, 565, 843, 767, 229, 428, 338, 861, 4, 595, 478, 329, 110, 472, 769, 135, 324, 622, 948, 610, 35, 839, 7, 694, 475, 892, 806, 914, 865, 506, 316, 798, 680, 342, 603, 907, 835, 471, 69, 402, 918, 708, 613, 592, 267, 155, 764, 556, 825, 417, 739, 779, 447, 606, 829, 730, 846, 611, 244, 336, 136, 388, 95, 506, 564, 603, 908, 289, 661, 811, 702, 577, 108, 534, 925, 203, 771, 870, 684, 770, 922, 184, 916, 49, 675, 915, 662, 909, 977, 528, 515, 850, 250, 642, 710, 812, 9, 981, 850, 919, 285, 257, 45, 737, 814, 568, 44, 31, 508, 861, 22, 972, 884, 545, 778, 617, 769, 174, 864, 552, 651, 756, 370, 531, 498, 475, 28, 181, 638, 160, 219, 923, 878, 246, 77, 179, 613, 420, 643, 196, 367, 14, 67, 255, 68, 102, 646, 394, 694, 787, 571, 292, 197, 986, 917, 352, 312, 759, 858, 802, 268, 106, 876, 721, 634, 550, 515, 931, 880, 928, 853, 304, 537, 660, 123, 890, 343, 523, 572, 402, 969, 767, 164, 2, 25, 316, 887, 74, 581, 762, 373, 521, 532, 937, 521, 633, 409, 174, 584, 127, 104, 639, 157, 188, 130, 925, 273, 9, 26, 654, 520, 171, 879, 58, 21, 273, 211, 716, 430, 261, 214, 665, 470, 413, 761, 11, 615, 245, 338, 5, 547, 326, 964, 30, 716, 818, 459, 781, 371, 666, 509, 436, 619, 968, 389, 20, 650, 845, 720, 528, 984, 271, 463, 6, 127, 555, 310, 378, 306, 263, 873, 166, 176, 531, 541, 523, 134, 288, 150, 868, 370, 919, 589, 476, 558, 568, 91, 292, 110, 750, 732, 804, 647, 908, 405, 702, 604, 341, 366, 693, 605, 141, 721, 386, 277, 624, 802, 859, 936, 688, 505, 724, 43, 23, 958, 859, 581, 397, 647, 621, 261, 294, 255, 397, 488, 855, 916, 440, 849, 950, 729, 375, 91, 320, 516, 639, 550, 986, 793, 173, 506, 670, 810, 716, 44, 80, 474, 532, 876, 931, 725, 592, 657, 684, 580, 674, 645, 438, 533, 136, 280, 981, 106, 32, 969, 939, 25, 256, 62, 373, 701, 758, 327, 375, 36, 512, 928, 746, 691, 503, 477, 433, 496, 361, 717, 28, 144, 628, 768, 940, 951, 837, 781, 146, 824, 477, 532, 631, 127, 131, 3, 814, 335, 674, 166, 39, 135, 817, 904, 466, 87, 963, 208, 519, 37, 267, 527, 115, 820, 332, 487, 173, 418, 951, 720, 369, 123, 697, 969, 882, 524, 118, 558, 48, 223, 315, 60, 298, 8, 188, 105, 913, 137, 840, 367, 221, 389, 27, 813, 278, 21, 328, 283, 21, 778, 441, 196, 551, 854, 348, 482, 574, 867, 488, 935, 12, 940, 952, 793, 197, 144, 647, 293, 507, 865, 152, 144, 390, 576, 458, 848, 588, 93, 36, 487, 349, 778, 229, 929, 414, 694, 796, 880, 453, 358, 97, 917, 754, 807, 443, 330, 524, 983, 42, 971, 597, 709, 440, 901, 560, 948, 633, 55, 881, 779, 108, 685, 829, 974, 903, 0, 681, 272, 64, 431, 211, 690, 302, 358, 938, 932, 566, 322, 556, 569, 321, 979, 559, 388, 748, 663, 548, 55, 426, 69, 949, 888, 420, 379, 938, 710, 482, 308, 244, 341, 161, 109, 850, 40, 527, 885, 296, 502, 719, 654, 964, 709, 393, 530, 709, 612, 453, 467, 361, 921, 904, 818, 344, 879, 888, 424, 618, 966, 794, 86, 597, 1, 154, 366, 589, 533, 755, 38, 204, 830, 186, 718, 633, 611, 355, 301, 816, 867, 530, 565, 444, 680, 792, 27, 628, 54, 220, 418, 52, 826, 542, 105, 187, 736, 13, 133, 607, 498, 569, 293, 322, 747, 3, 759, 490, 317, 3, 870, 446, 679, 983, 923, 952, 259, 5, 437, 109, 444, 47, 634, 59, 740, 318, 171, 114, 585, 53, 431, 86, 659, 474, 333, 886, 196, 206, 596, 845, 174, 193, 914, 492, 733, 15, 131, 662, 280, 885, 433, 855, 247, 142, 176, 909, 210, 653, 407, 741, 41, 854, 720, 588, 325, 143, 334, 348, 440, 270, 198, 24, 585, 577, 138, 627, 717, 97, 172, 309, 289, 60, 193, 908, 80, 755, 291, 667, 873, 407, 762, 756, 669, 955, 548, 832, 301, 757, 236, 612, 469, 726, 933, 643, 251, 32, 257, 218, 25, 230, 91, 294, 968, 786, 260, 349, 849, 579, 164, 328, 663, 974, 874, 187, 577, 232, 192, 54, 37, 904, 496, 181, 244, 270, 193, 343, 723, 383, 77, 645, 682, 19, 736, 357, 696, 608, 976, 381, 972, 276, 272, 911, 690, 458, 614, 337, 584, 118, 119, 57, 216, 390, 415, 265, 773, 658, 465, 347, 135, 962, 122, 893, 198, 746, 346, 464, 132, 982, 320, 905, 621, 490, 713, 222, 838, 104, 402, 329, 367, 116, 115, 796, 186, 306, 693, 494, 639, 253, 167, 569, 225, 473, 493, 186, 638, 92, 814, 245, 355, 198, 69, 349, 635, 2, 599, 311, 900, 816, 519, 600, 503, 645, 398, 62, 794, 514, 986, 900, 754, 651, 665, 31, 130, 638, 528, 752, 667, 288, 582, 328, 590, 175, 478, 190, 914, 329, 670, 932, 269, 621, 787, 644, 432, 17, 815, 7, 575, 292, 596, 167, 33, 905, 680, 793, 48, 878, 172, 774, 126, 838, 826, 962, 886, 829, 384, 779, 65, 98, 705, 381, 330, 826, 831, 535, 325, 314, 496, 718, 627, 478, 48, 397, 537, 171, 747, 435, 288, 405, 335, 107, 278, 158, 35, 208, 974, 372, 327, 298, 415, 406, 696, 835, 261, 147, 366, 571, 628, 731, 458, 840, 269, 28, 907, 935, 468, 322, 708, 811, 189, 134, 99, 507, 574, 167, 89, 512, 796, 372, 950, 553, 466, 785, 180, 192, 352, 602, 390, 371, 956, 199, 270, 45, 204, 30, 530, 296, 837, 157, 445, 176, 725, 30, 669, 280, 474, 695, 362, 731, 590, 449, 286, 284, 700, 775, 958, 768, 748, 725, 839, 524, 674, 718, 831, 161, 722, 119, 312, 379, 417, 159, 609, 653, 631, 649, 55, 810, 886, 137, 357, 286, 906, 909, 325, 36, 313, 165, 611, 855, 75, 452, 770, 572, 422, 808, 668, 448, 208, 151, 649, 760, 769, 130, 413, 6, 721, 568, 94, 114, 99, 142, 589, 541, 217, 662, 864, 542, 300, 956, 247, 876, 749, 180, 685, 202, 426, 22, 785, 338, 121, 798, 191, 975, 507, 122, 875, 94, 245, 609, 81, 51, 89, 774, 133, 866, 892, 913, 521, 304, 134, 321, 927, 929, 230, 68, 817, 824, 15, 623, 20, 675, 907, 798, 86}

    {490, 739, 456, 378, 730, 382, 819, 159, 813, 701, 442, 362, 652, 605, 457, 776, 630, 495, 946, 19, 619, 973, 73, 146, 129, 159, 766, 697, 163, 872, 101, 723, 514, 620, 688, 158, 571, 359, 805, 498, 984, 153, 752, 242, 169, 234, 890, 242, 960, 63, 210, 838, 715, 431, 155, 686, 298, 982, 336, 789, 821, 734, 762, 401, 643, 400, 13, 59, 895, 29, 898, 276, 463, 902, 227, 311, 573, 889, 508, 226, 8, 682, 751, 275, 561, 872, 74, 636, 305, 252, 889, 58, 303, 479, 906, 100, 803, 368, 741, 659, 215, 871, 310, 615, 901, 454, 233, 447, 679, 424, 714, 536, 944, 630, 980, 43, 49, 413, 942, 124, 591, 987, 763, 795, 625, 334, 5, 765, 411, 701, 281, 10, 461, 713, 56, 24, 583, 96, 801, 78, 472, 180, 891, 548, 416, 744, 893, 832, 450, 323, 687, 784, 241, 12, 883, 494, 813, 949, 827, 18, 149, 282, 475, 56, 497, 799, 676, 648, 985, 14, 249, 460, 359, 676, 599, 792, 233, 947, 68, 85, 828, 409, 16, 299, 594, 386, 619, 898, 391, 943, 605, 169, 823, 857, 287, 690, 943, 910, 266, 73, 533, 430, 896, 282, 618, 738, 380, 513, 614, 671, 132, 791, 303, 595, 500, 666, 70, 182, 924, 618, 423, 201, 635, 671, 50, 160, 695, 576, 942, 626, 63, 412, 700, 387, 963, 96, 656, 154, 930, 958, 646, 941, 206, 822, 714, 484, 396, 989, 899, 922, 863, 197, 943, 668, 538, 476, 83, 295, 403, 282, 683, 79, 285, 797, 103, 939, 47, 703, 71, 117, 138, 346, 906, 735, 575, 693, 162, 573, 227, 525, 727, 626, 240, 575, 221, 80, 526, 125, 84, 76, 648, 728, 319, 29, 817, 342, 656, 262, 207, 34, 179, 941, 124, 954, 920, 65, 92, 800, 145, 65, 822, 787, 209, 563, 419, 677, 895, 185, 491, 302, 290, 863, 140, 692, 284, 836, 564, 489, 871, 933, 181, 483, 363, 730, 724, 353, 587, 243, 462, 406, 429, 743, 427, 433, 307, 57, 654, 283, 281, 872, 703, 864, 67, 465, 573, 95, 47, 823, 40, 712, 188, 215, 567, 395, 168, 336, 101, 602, 406, 578, 290, 183, 73, 565, 267, 380, 918, 789, 544, 620, 686, 256, 344, 153, 446, 61, 926, 151, 387, 932, 567, 156, 634, 777, 970, 85, 314, 103, 594, 623, 70, 256, 124, 26, 615, 812, 18, 667, 772, 842, 726, 977, 534, 836, 439, 980, 222, 658, 438, 632, 578, 399, 899, 76, 243, 454, 894, 480, 707, 953, 275, 971, 480, 966, 607, 200, 891, 703, 777, 88, 534, 309, 967, 632, 751, 243, 652, 370, 808, 216, 231, 851, 666, 960, 178, 555, 26, 347, 807, 333, 640, 34, 297, 681, 223, 139, 860, 877, 780, 815, 351, 767, 600, 177, 57, 136, 304, 194, 183, 672, 559, 241, 510, 516, 989, 395, 742, 235, 975, 145, 740, 738, 117, 953, 916, 591, 856, 263, 614, 729, 163, 525, 819, 759, 375, 827, 766, 636, 660, 818, 212, 583, 874, 803, 933, 213, 894, 529, 809, 556, 613, 883, 502, 660, 673, 676, 227, 455, 808, 450, 520, 644, 20, 736, 481, 194, 373, 513, 791, 113, 727, 704, 158, 538, 834, 1, 871, 750, 505, 148, 535, 804, 744, 920, 254, 652, 562, 784, 564, 843, 360, 442, 199, 561, 973, 903, 162, 821, 350, 412, 790, 825, 961, 156, 44, 310, 354, 715, 392, 763, 168, 296, 345, 868, 438, 150, 883, 788, 982, 617, 745, 392, 771, 340, 51, 83, 16, 559, 404, 846, 432, 915, 202, 607, 114, 201, 869, 616, 340, 557, 953, 711, 513, 555, 443, 200, 797, 963, 248, 107, 708, 177, 691, 75, 930, 895, 425, 184, 891, 816, 910, 488, 425, 90, 229, 309, 164, 233, 434, 479, 192, 770, 880, 601, 319, 756, 239, 249, 489, 659, 881, 805, 113, 100, 351, 220, 661, 64, 651, 593, 833, 40, 183, 967, 88, 417, 207, 303, 590, 228, 780, 641, 529, 79, 396, 213, 884, 448, 313, 910, 964, 857, 867, 8, 239, 470, 1, 153, 43, 957, 152, 522, 860, 976, 239, 365, 593, 326, 377, 395, 185, 608, 877, 219, 841, 732, 486, 858, 678, 552, 147, 337, 642, 483, 241, 892, 285, 368, 706, 264, 81, 249, 445, 970, 252, 492, 535, 427, 735, 550, 862, 38, 705, 805, 444, 464, 364, 112, 734, 120, 421, 148, 641, 517, 382, 15, 463, 100, 583, 314, 582, 279, 377, 804, 988, 360, 199, 612, 683, 512, 685, 340, 655, 254, 655, 353, 581, 10, 262, 209, 965, 377, 300, 242, 428, 912, 486, 404, 421, 642, 11, 586, 732, 735, 640, 414, 425, 547, 941, 707, 170, 53, 16, 439, 562, 889, 504, 385, 168, 225, 72, 951, 698, 857, 852, 988, 561, 487, 699, 307, 149, 354, 384, 220, 90, 934, 947, 897, 925, 695, 632, 549, 726, 501, 452, 7, 622, 308, 363, 580, 107, 448, 450, 688, 757, 205, 640, 169, 350, 237, 517, 897, 297, 339, 862, 830, 483, 728, 64, 315, 84, 606, 231, 790, 41, 482, 434, 460, 10, 354, 121, 67, 890, 601, 120, 594, 24, 719, 843, 323, 553, 881, 484, 461, 61, 495, 587, 912, 138, 109, 539, 592, 884, 499, 753, 566, 265, 33, 608, 32, 468, 989, 940, 955, 230, 773, 800, 443, 295, 154, 751, 411, 837, 706, 409, 185, 625, 745, 727, 959, 49, 968, 470, 141, 330, 809, 678, 194, 795, 526, 563, 546, 279, 184, 966, 404, 410, 9, 514, 602, 946, 76, 39, 101, 363, 538, 442, 258, 865, 111, 783, 456, 579, 332, 504, 733, 926, 56, 697, 825, 141, 874, 683, 820, 462, 294, 500, 356, 580, 803, 400, 435, 546, 704, 291, 419, 570, 93, 275, 598, 71, 252, 734, 846, 268, 460, 473, 212, 844, 111, 629, 834, 178, 469, 150, 195, 111, 189, 299, 927, 206, 396, 557, 364, 758, 305, 408, 311, 342, 873, 921, 78, 979, 978, 72, 879, 753, 464, 893, 382, 743, 155, 113, 777, 562, 121, 610, 650, 939, 497, 81, 238, 333, 439, 673, 6, 85, 699, 72, 29, 143, 499, 822, 51, 669, 780, 195, 126, 481, 374, 415, 554, 637, 215, 486, 466, 312, 146, 258, 238, 360, 493, 547, 792, 833, 650, 877, 742, 45, 775, 750, 629, 456, 572, 279, 930, 468, 772, 254, 965, 117, 586, 211, 897, 82, 345, 385, 59, 696, 90, 763, 616, 641, 809, 853, 965, 707, 190, 82, 225, 510, 271, 668, 844, 218, 337, 799, 866, 71, 821, 699, 237, 489, 500, 27, 451, 287, 765, 271, 148, 276, 457, 630, 455, 419, 766, 546, 145, 231, 599, 462, 549, 936, 627, 247, 412, 692, 79, 842, 567, 894, 896, 495, 610, 834, 345, 791, 518, 747, 451, 646, 526, 339, 511, 858, 724, 300, 896, 403, 661, 501, 737, 42, 369, 17, 545, 257, 405, 898, 545, 875, 501, 959, 308, 234, 223, 856, 427, 61, 13, 480, 961, 139, 364, 698, 346, 237, 744, 626, 863, 868, 758, 277, 210, 711, 671, 544, 549, 920, 251, 869, 859, 635, 795, 678, 979, 140, 711, 96, 166, 978, 980, 457, 656, 783, 414, 205, 224, 429, 281, 819, 957, 492, 378, 563, 691, 376, 484, 902, 334, 253, 401, 664, 118, 112, 191, 924, 429, 207, 598, 351, 946, 128, 235, 786, 603, 384, 689, 776, 797, 915, 704, 987, 679, 295, 773, 401, 258, 945, 502, 432, 219, 33, 178, 869, 742, 887, 391, 172, 317, 416, 399, 790, 852, 784, 772, 510, 471, 339, 235, 201, 38, 209, 598, 977, 78, 88, 622, 453, 283, 950, 832, 852, 937, 536, 224, 786, 451, 83, 476, 782, 202, 106, 471, 917, 299, 672, 719, 365, 851, 830, 497, 394, 416, 424, 162, 369, 794, 842, 757, 315, 882, 648, 353, 454, 761, 126, 841, 705, 108, 815, 682, 636, 393, 269, 423, 262, 988, 687, 782, 224, 938, 945, 152, 284, 84, 22, 827, 574, 942, 576, 421, 954, 689, 686, 499, 423, 959, 485, 664, 637, 587, 34, 318, 428, 17, 323, 112, 42, 234, 971, 318, 218, 393, 752, 553, 481, 479, 800, 856, 552, 341, 226, 523, 411, 344, 177, 706, 551, 200, 518, 629, 862, 967, 359, 410, 588, 670, 221, 623, 672, 578, 160, 410, 264, 733, 539, 63, 518, 657, 151, 753, 163, 102, 139, 624, 142, 713, 205, 684, 625, 637, 551, 41, 824, 383, 305, 745, 728, 544, 2, 103, 948, 714, 511, 70, 14, 723, 944, 452, 398, 902, 313, 362, 260, 182, 973, 944, 97, 712, 947, 352, 566, 387, 600, 601, 781, 782, 802, 820, 527, 539, 511, 368, 517, 82, 4, 170, 984, 264, 529, 203, 195, 689, 961, 860, 399, 554, 875, 147, 385, 191, 400, 77, 616, 253, 430, 620, 836, 912, 970, 170, 957, 593, 365}

    Returns: {0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1 }

  91. 990

    {509, 876, 264, 733, 696, 518, 685, 637, 209, 315, 374, 467, 196, 854, 492, 491, 936, 576, 173, 880, 676, 5, 483, 693, 777, 45, 39, 160, 635, 274, 447, 373, 106, 255, 32, 758, 398, 672, 124, 781, 409, 977, 698, 594, 796, 716, 64, 405, 752, 842, 492, 542, 197, 235, 946, 679, 149, 782, 852, 614, 54, 227, 108, 723, 463, 291, 644, 957, 681, 807, 765, 139, 693, 519, 477, 321, 307, 485, 891, 471, 16, 834, 229, 484, 367, 720, 409, 801, 139, 561, 389, 553, 945, 534, 362, 129, 337, 496, 758, 665, 574, 342, 143, 124, 372, 334, 444, 641, 720, 586, 189, 875, 579, 292, 382, 635, 457, 779, 498, 432, 587, 288, 741, 536, 381, 626, 765, 6, 147, 226, 546, 22, 357, 165, 961, 406, 794, 711, 451, 942, 845, 861, 22, 129, 260, 807, 841, 190, 924, 488, 153, 209, 634, 53, 55, 443, 680, 253, 680, 468, 949, 861, 860, 439, 581, 906, 326, 972, 121, 431, 28, 349, 979, 274, 749, 662, 332, 456, 864, 978, 647, 39, 218, 225, 445, 124, 915, 962, 105, 745, 638, 132, 123, 795, 750, 690, 437, 284, 862, 189, 634, 657, 881, 561, 453, 96, 366, 206, 399, 539, 234, 540, 660, 234, 648, 441, 515, 723, 254, 500, 127, 259, 867, 655, 28, 449, 459, 135, 290, 587, 927, 103, 869, 712, 873, 473, 942, 842, 60, 832, 335, 458, 884, 682, 172, 239, 228, 362, 981, 562, 778, 150, 890, 543, 615, 452, 377, 181, 575, 901, 852, 648, 609, 138, 810, 366, 273, 655, 158, 820, 0, 185, 285, 268, 29, 562, 553, 925, 220, 603, 345, 260, 194, 597, 324, 242, 435, 870, 705, 47, 226, 56, 214, 791, 740, 630, 401, 227, 315, 170, 891, 198, 902, 676, 875, 22, 924, 212, 539, 236, 532, 932, 81, 433, 344, 70, 568, 43, 68, 580, 638, 519, 49, 238, 293, 651, 783, 738, 43, 637, 835, 78, 405, 518, 452, 943, 164, 835, 13, 557, 376, 320, 123, 629, 169, 432, 98, 579, 457, 711, 937, 474, 20, 527, 585, 978, 826, 69, 95, 33, 166, 663, 583, 320, 573, 457, 874, 134, 367, 444, 859, 598, 24, 550, 165, 568, 541, 279, 786, 182, 282, 870, 72, 565, 739, 735, 251, 573, 792, 178, 461, 20, 576, 771, 615, 467, 821, 693, 204, 417, 98, 844, 486, 288, 231, 957, 472, 26, 822, 178, 687, 818, 393, 222, 654, 276, 823, 320, 769, 178, 43, 640, 447, 246, 83, 428, 666, 405, 377, 370, 374, 659, 282, 486, 844, 367, 253, 479, 510, 133, 732, 346, 982, 12, 416, 770, 532, 291, 562, 508, 772, 92, 832, 575, 431, 509, 839, 83, 49, 675, 711, 935, 478, 932, 721, 915, 922, 470, 323, 926, 516, 509, 871, 141, 294, 893, 720, 558, 799, 220, 850, 847, 571, 210, 345, 971, 147, 828, 697, 112, 258, 125, 823, 473, 209, 791, 646, 397, 125, 215, 563, 556, 61, 188, 922, 802, 980, 864, 48, 180, 829, 653, 115, 53, 662, 971, 72, 662, 706, 36, 168, 122, 705, 495, 639, 523, 768, 658, 455, 639, 498, 517, 657, 538, 128, 242, 99, 333, 231, 534, 651, 945, 753, 757, 518, 425, 210, 422, 24, 291, 55, 158, 803, 81, 378, 103, 402, 756, 102, 770, 363, 154, 222, 541, 456, 394, 33, 714, 666, 735, 160, 88, 543, 214, 784, 649, 886, 701, 526, 413, 778, 239, 504, 706, 510, 292, 52, 422, 828, 4, 871, 920, 52, 482, 303, 467, 922, 364, 112, 653, 597, 826, 79, 697, 784, 769, 710, 972, 201, 243, 736, 59, 257, 513, 625, 929, 245, 94, 724, 689, 71, 962, 390, 752, 548, 603, 460, 504, 971, 171, 341, 847, 332, 466, 326, 107, 340, 274, 783, 619, 340, 685, 692, 812, 159, 615, 959, 571, 358, 648, 664, 778, 630, 446, 364, 92, 262, 849, 300, 646, 724, 301, 684, 100, 304, 968, 29, 239, 201, 735, 375, 45, 330, 513, 557, 961, 604, 838, 115, 197, 258, 460, 319, 893, 220, 682, 700, 683, 460, 40, 624, 352, 865, 190, 316, 838, 542, 748, 442, 649, 56, 876, 897, 384, 488, 454, 271, 585, 580, 621, 475, 89, 904, 352, 506, 546, 215, 672, 513, 747, 527, 871, 734, 942, 90, 60, 682, 236, 438, 583, 722, 222, 444, 478, 375, 217, 828, 279, 593, 255, 849, 805, 809, 649, 254, 985, 334, 249, 64, 848, 281, 378, 356, 245, 638, 480, 305, 704, 77, 165, 759, 358, 322, 880, 663, 143, 12, 866, 550, 261, 313, 584, 153, 14, 389, 620, 966, 544, 953, 715, 910, 409, 483, 70, 117, 756, 160, 962, 948, 855, 9, 540, 453, 559, 919, 433, 181, 471, 917, 870, 324, 560, 14, 605, 766, 700, 90, 811, 780, 538, 818, 941, 304, 476, 773, 216, 322, 19, 869, 540, 34, 874, 623, 549, 397, 156, 907, 262, 425, 556, 375, 607, 197, 565, 721, 856, 494, 753, 837, 896, 620, 87, 313, 640, 541, 72, 307, 576, 54, 185, 687, 215, 371, 764, 468, 712, 908, 316, 952, 911, 574, 78, 651, 26, 401, 381, 264, 108, 54, 40, 205, 586, 903, 111, 109, 949, 147, 705, 744, 225, 158, 477, 91, 903, 747, 701, 103, 895, 794, 66, 821, 738, 687, 301, 284, 12, 219, 421, 394, 782, 889, 956, 829, 701, 230, 904, 688, 34, 619, 73, 203, 952, 708, 955, 86, 19, 212, 702, 429, 145, 790, 985, 191, 517, 565, 120, 849, 887, 522, 979, 761, 842, 78, 696, 730, 374, 550, 214, 50, 767, 543, 948, 27, 803, 107, 247, 779, 46, 252, 721, 593, 154, 8, 521, 99, 728, 344, 726, 874, 272, 679, 347, 47, 429, 658, 832, 318, 745, 418, 900, 151, 388, 46, 205, 303, 380, 256, 749, 29, 324, 417, 779, 620, 830, 172, 533, 35, 609, 892, 844, 358, 237, 122, 740, 176, 19, 932, 418, 803, 11, 208, 397, 514, 267, 438, 413, 383, 212, 888, 806, 451, 308, 529, 159, 210, 597, 28, 332, 700, 668, 303, 368, 229, 94, 185, 582, 534, 925, 808, 580, 150, 154, 895, 619, 404, 346, 743, 685, 378, 170, 235, 87, 749, 813, 372, 480, 505, 237, 894, 616, 811, 213, 252, 441, 3, 955, 430, 834, 395, 389, 260, 761, 395, 822, 248, 330, 494, 9, 318, 894, 886, 315, 517, 717, 314, 594, 40, 686, 593, 726, 476, 259, 737, 282, 117, 573, 926, 552, 484, 564, 764, 451, 545, 58, 621, 913, 267, 566, 596, 986, 567, 256, 32, 164, 906, 966, 229, 757, 161, 143, 379, 515, 731, 117, 800, 827, 703, 396, 50, 94, 632, 139, 938, 989, 226, 128, 973, 841, 522, 132, 987, 361, 750, 383, 969, 228, 692, 953, 938, 708, 968, 571, 884, 384, 255, 793, 70, 985, 410, 924, 438, 928, 652, 919, 507, 390, 730, 471, 468, 710, 739, 967, 240, 242, 639, 791, 192, 813, 398, 538, 11, 818, 480, 553, 439, 703, 764, 525, 149, 340, 722, 191, 933, 623, 533, 64, 231, 483, 192, 379, 738, 102, 253, 135, 432, 300, 696, 925, 812, 474, 301, 318, 519, 526, 823, 915, 592, 454, 335, 106, 536, 90, 265, 630, 180, 654, 810, 334, 567, 838, 865, 666, 203, 206, 50, 395, 91, 930, 288, 323, 203, 268, 931, 702, 433, 973, 699, 588, 579, 581, 499, 523, 624, 677, 899, 966, 342, 179, 817, 909, 430, 37, 865, 357, 169, 747, 501, 169, 502, 456, 423, 439, 18, 934, 153, 578, 673, 742, 811, 736, 772, 248, 211, 715, 857, 641, 26, 300, 980, 56, 523, 261, 446, 279, 986, 376, 356, 777, 931, 766, 380, 895, 68, 47, 760, 196, 709, 281, 201, 911, 453, 982, 455, 507, 120, 927, 249, 822, 734, 57, 552, 916, 775, 741, 321, 316, 461, 589, 542, 248, 784, 104, 39, 522, 897, 307, 108, 552, 175, 937, 709, 107, 308, 634, 605, 557, 454, 159, 286, 441, 308, 156, 295, 120, 715, 516, 817, 860, 506, 717, 415, 245, 486, 106, 539, 973, 896, 31, 814, 84, 472, 335, 616, 812, 728, 825, 247, 352, 164, 437, 430, 972, 556, 84, 668, 663, 746, 584, 804, 893, 167, 66, 472, 495, 129, 418, 916, 31, 327, 673, 423, 379, 151, 370, 704, 894, 795, 935, 897, 678, 558, 264, 688, 530, 482, 859, 756, 796, 665, 410, 545, 514, 17, 777, 869, 641, 963, 926, 93, 740, 151, 27, 247, 574, 601, 293, 9, 531, 546, 495, 387, 621, 594, 978, 11, 508, 384, 38, 712, 572, 497, 38, 109, 886, 109, 734, 600, 911, 396, 739, 476, 227, 20, 336, 766, 929, 170, 230, 422, 824, 51, 27, 168, 305, 181, 609, 646, 675, 487, 601, 339, 258, 616, 775, 845, 635, 198, 592, 656, 363, 404, 243, 346, 53, 604}

    {774, 500, 941, 761, 572, 503, 350, 290, 876, 606, 767, 137, 645, 512, 858, 970, 508, 333, 931, 661, 877, 719, 228, 848, 850, 564, 598, 149, 202, 544, 883, 729, 24, 716, 804, 204, 173, 933, 363, 961, 55, 914, 728, 202, 613, 199, 760, 36, 501, 788, 716, 294, 297, 947, 704, 643, 208, 146, 608, 46, 294, 493, 707, 678, 180, 462, 841, 289, 297, 787, 917, 724, 867, 357, 618, 211, 71, 770, 416, 365, 631, 17, 939, 535, 30, 183, 302, 123, 809, 130, 755, 617, 48, 618, 537, 805, 718, 97, 908, 82, 348, 729, 602, 981, 275, 256, 75, 377, 314, 311, 570, 976, 354, 148, 14, 434, 236, 820, 974, 133, 411, 175, 599, 450, 131, 595, 671, 782, 44, 238, 493, 35, 272, 611, 61, 269, 333, 341, 309, 827, 419, 65, 196, 326, 257, 466, 719, 269, 221, 244, 317, 182, 566, 891, 500, 277, 600, 309, 529, 86, 689, 464, 831, 920, 386, 983, 714, 343, 858, 781, 437, 289, 964, 727, 948, 888, 628, 983, 202, 951, 235, 487, 321, 18, 763, 414, 302, 618, 195, 560, 678, 636, 502, 213, 63, 450, 145, 496, 119, 684, 73, 491, 880, 97, 750, 383, 850, 843, 492, 864, 157, 407, 604, 737, 408, 802, 148, 285, 414, 302, 494, 800, 331, 626, 296, 481, 343, 548, 955, 959, 371, 528, 99, 901, 187, 41, 385, 885, 644, 122, 742, 695, 400, 595, 936, 751, 121, 612, 414, 79, 569, 733, 591, 404, 241, 329, 820, 862, 21, 293, 458, 529, 475, 918, 695, 265, 237, 776, 933, 186, 929, 570, 717, 269, 403, 535, 328, 763, 806, 412, 816, 617, 345, 975, 524, 746, 613, 421, 506, 111, 528, 67, 114, 71, 533, 796, 217, 344, 507, 599, 436, 566, 87, 343, 645, 912, 126, 400, 882, 691, 773, 815, 840, 670, 954, 134, 611, 13, 505, 826, 310, 755, 347, 527, 825, 68, 511, 427, 25, 193, 4, 907, 360, 878, 786, 710, 873, 854, 884, 877, 975, 920, 520, 425, 640, 306, 656, 63, 785, 935, 690, 674, 51, 954, 499, 943, 840, 198, 140, 338, 561, 125, 314, 243, 200, 905, 775, 847, 364, 658, 713, 7, 440, 60, 644, 970, 626, 559, 49, 1, 732, 680, 192, 428, 325, 969, 816, 148, 298, 355, 100, 769, 793, 354, 671, 622, 983, 697, 535, 727, 427, 881, 179, 612, 611, 393, 8, 95, 637, 950, 581, 251, 436, 10, 898, 21, 792, 512, 786, 814, 284, 406, 337, 412, 501, 296, 554, 392, 21, 902, 142, 819, 643, 134, 478, 560, 233, 957, 10, 807, 112, 863, 627, 613, 328, 551, 360, 976, 268, 361, 578, 287, 650, 348, 808, 373, 960, 934, 839, 175, 277, 684, 121, 688, 407, 890, 900, 114, 289, 536, 224, 510, 490, 101, 249, 246, 954, 275, 949, 917, 446, 836, 833, 415, 731, 746, 110, 162, 768, 569, 186, 167, 833, 602, 217, 888, 912, 601, 589, 555, 776, 596, 669, 351, 672, 912, 787, 882, 974, 280, 184, 921, 420, 290, 177, 491, 76, 829, 595, 376, 271, 900, 964, 163, 42, 741, 41, 855, 161, 297, 632, 504, 814, 592, 104, 440, 223, 938, 568, 759, 577, 187, 337, 89, 419, 631, 435, 544, 950, 986, 75, 857, 8, 789, 654, 156, 516, 525, 987, 548, 141, 591, 342, 567, 958, 830, 13, 851, 872, 952, 348, 526, 163, 846, 23, 714, 794, 582, 105, 496, 38, 939, 412, 554, 887, 463, 670, 588, 195, 330, 681, 852, 101, 790, 86, 667, 773, 30, 426, 37, 360, 868, 85, 801, 57, 839, 93, 762, 61, 652, 240, 551, 722, 984, 603, 628, 607, 65, 59, 115, 184, 879, 551, 748, 390, 848, 44, 331, 407, 787, 939, 182, 137, 98, 805, 266, 119, 111, 144, 987, 15, 790, 751, 918, 520, 883, 758, 689, 394, 977, 650, 127, 402, 771, 804, 512, 913, 73, 958, 187, 263, 310, 831, 903, 857, 664, 674, 188, 745, 771, 259, 299, 599, 262, 15, 173, 481, 906, 298, 311, 725, 695, 244, 625, 113, 918, 176, 736, 743, 623, 373, 461, 261, 204, 359, 943, 278, 83, 490, 448, 727, 179, 365, 754, 319, 633, 642, 656, 77, 868, 810, 815, 629, 100, 48, 583, 144, 798, 909, 327, 930, 356, 306, 380, 353, 355, 706, 218, 768, 946, 436, 578, 1, 152, 479, 836, 136, 168, 88, 469, 671, 493, 135, 528, 825, 627, 369, 485, 676, 473, 276, 902, 311, 899, 16, 177, 910, 238, 789, 737, 980, 23, 806, 733, 449, 947, 402, 882, 5, 824, 199, 731, 941, 368, 391, 664, 629, 853, 113, 233, 691, 855, 399, 144, 232, 575, 725, 423, 868, 605, 757, 657, 0, 896, 686, 981, 295, 956, 241, 359, 668, 636, 698, 555, 795, 84, 923, 138, 577, 449, 923, 317, 244, 162, 74, 353, 424, 521, 596, 970, 951, 278, 781, 754, 789, 930, 42, 669, 642, 381, 349, 396, 497, 624, 155, 984, 105, 614, 66, 37, 582, 382, 57, 742, 177, 67, 872, 547, 59, 748, 846, 591, 730, 67, 670, 101, 702, 914, 667, 863, 659, 42, 889, 400, 890, 145, 964, 51, 263, 387, 570, 503, 892, 417, 213, 537, 608, 462, 429, 590, 304, 866, 89, 79, 241, 650, 946, 443, 2, 690, 58, 171, 272, 723, 531, 126, 136, 200, 989, 612, 206, 146, 606, 968, 6, 445, 207, 216, 338, 447, 835, 265, 699, 273, 174, 547, 824, 118, 843, 131, 230, 785, 725, 801, 240, 914, 69, 455, 391, 802, 23, 97, 586, 726, 883, 190, 155, 163, 6, 142, 549, 862, 587, 176, 967, 628, 266, 718, 800, 950, 195, 511, 665, 834, 887, 944, 851, 469, 960, 474, 80, 707, 558, 677, 511, 392, 465, 808, 167, 488, 885, 183, 327, 831, 174, 341, 388, 77, 391, 336, 853, 172, 975, 150, 186, 610, 979, 312, 118, 399, 661, 3, 319, 530, 503, 270, 270, 116, 62, 703, 859, 459, 744, 625, 817, 140, 233, 102, 872, 765, 283, 82, 863, 647, 224, 392, 774, 590, 442, 63, 370, 254, 934, 408, 827, 916, 879, 653, 398, 928, 152, 555, 385, 33, 899, 232, 92, 833, 898, 475, 502, 368, 295, 270, 889, 563, 275, 328, 792, 65, 655, 569, 257, 498, 193, 393, 660, 487, 860, 846, 128, 469, 277, 3, 166, 312, 426, 286, 837, 537, 2, 138, 520, 16, 369, 879, 856, 545, 679, 989, 136, 479, 157, 940, 464, 421, 450, 953, 767, 299, 577, 465, 17, 951, 119, 431, 647, 322, 10, 963, 776, 250, 387, 462, 216, 904, 385, 793, 223, 31, 162, 464, 34, 200, 323, 205, 921, 386, 362, 861, 976, 263, 598, 661, 448, 617, 913, 440, 470, 694, 788, 281, 137, 435, 622, 858, 188, 424, 815, 589, 36, 675, 140, 549, 881, 813, 836, 325, 681, 283, 339, 797, 110, 7, 489, 809, 113, 420, 698, 530, 218, 191, 772, 5, 82, 489, 677, 547, 856, 116, 631, 673, 554, 193, 287, 445, 76, 713, 659, 760, 349, 361, 532, 669, 194, 15, 157, 572, 780, 940, 133, 788, 837, 707, 585, 923, 199, 271, 606, 988, 564, 283, 607, 80, 146, 401, 905, 127, 85, 719, 96, 251, 667, 126, 600, 141, 458, 250, 489, 816, 95, 563, 44, 744, 420, 443, 207, 250, 298, 104, 4, 959, 694, 142, 944, 32, 785, 843, 969, 403, 477, 854, 131, 76, 674, 642, 683, 75, 867, 132, 708, 921, 531, 988, 892, 753, 189, 406, 267, 194, 866, 312, 524, 692, 645, 774, 93, 411, 965, 729, 161, 338, 905, 224, 798, 967, 166, 821, 171, 514, 608, 885, 622, 310, 873, 74, 442, 18, 909, 940, 351, 752, 588, 853, 709, 317, 797, 936, 984, 232, 354, 481, 428, 184, 292, 718, 347, 273, 466, 152, 69, 798, 485, 743, 116, 408, 908, 982, 329, 130, 830, 252, 919, 114, 956, 965, 329, 371, 482, 221, 459, 713, 419, 424, 1, 762, 643, 41, 91, 35, 878, 448, 877, 280, 96, 221, 339, 351, 974, 559, 937, 988, 783, 355, 759, 636, 299, 246, 155, 878, 410, 484, 359, 965, 901, 52, 524, 118, 632, 223, 699, 81, 296, 497, 0, 691, 234, 610, 694, 947, 627, 309, 62, 755, 851, 211, 74, 331, 927, 353, 434, 633, 25, 944, 369, 799, 219, 751, 350, 45, 780, 963, 286, 610, 350, 266, 276, 465, 490, 62, 7, 505, 2, 225, 683, 208, 875, 415, 584, 58, 413, 85, 590, 525, 797, 382, 686, 130, 183, 403, 30, 928, 499, 958, 763, 819, 386, 219, 898, 313, 845, 88, 732, 521, 80, 427, 515, 463, 470, 305, 426, 388, 960, 366, 633, 336, 652, 365, 372, 25, 452, 411, 285, 325, 840, 287, 945, 799, 207, 762, 602, 819, 977, 278, 907, 306, 614, 660, 434, 174, 754, 110, 280, 416, 910}

    Returns: {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1 }

  92. 990

    {179, 629, 663, 274, 418, 437, 914, 920, 300, 903, 904, 587, 250, 467, 745, 241, 63, 971, 45, 278, 559, 924, 984, 399, 209, 335, 629, 327, 623, 49, 198, 137, 969, 331, 359, 304, 458, 580, 931, 781, 64, 779, 401, 488, 110, 792, 217, 656, 903, 201, 934, 809, 128, 448, 710, 386, 635, 344, 570, 130, 52, 713, 516, 922, 548, 915, 639, 260, 350, 135, 488, 221, 504, 491, 902, 764, 358, 602, 266, 424, 572, 417, 632, 121, 243, 857, 659, 16, 729, 457, 531, 314, 334, 472, 660, 562, 57, 898, 349, 440, 613, 294, 122, 209, 289, 766, 226, 121, 0, 373, 798, 886, 807, 987, 983, 746, 100, 625, 670, 527, 937, 640, 735, 764, 651, 676, 15, 24, 163, 244, 919, 832, 706, 451, 949, 863, 54, 753, 830, 599, 371, 791, 520, 116, 308, 264, 453, 2, 29, 646, 157, 839, 693, 674, 799, 762, 672, 481, 829, 699, 607, 228, 556, 755, 637, 37, 220, 958, 324, 278, 709, 954, 899, 855, 619, 77, 382, 57, 614, 403, 906, 249, 172, 402, 513, 239, 385, 361, 330, 62, 553, 581, 370, 78, 703, 455, 478, 867, 262, 160, 668, 679, 846, 803, 77, 964, 371, 588, 100, 727, 64, 182, 227, 757, 26, 961, 788, 942, 82, 443, 187, 12, 716, 648, 869, 375, 627, 289, 148, 93, 777, 142, 302, 818, 103, 493, 396, 409, 378, 201, 85, 427, 505, 91, 230, 392, 932, 789, 587, 782, 516, 285, 246, 602, 164, 48, 334, 862, 233, 328, 949, 874, 884, 806, 94, 413, 147, 252, 42, 396, 59, 341, 632, 87, 151, 236, 326, 497, 781, 853, 776, 3, 34, 981, 216, 217, 99, 244, 979, 518, 672, 421, 810, 429, 135, 577, 631, 823, 678, 293, 671, 173, 900, 202, 728, 574, 128, 521, 422, 241, 734, 718, 818, 759, 160, 438, 29, 166, 317, 731, 604, 936, 456, 975, 779, 836, 255, 586, 67, 149, 336, 961, 108, 493, 782, 276, 974, 30, 76, 989, 456, 835, 852, 569, 147, 470, 960, 498, 398, 195, 10, 26, 763, 645, 580, 378, 824, 501, 511, 709, 402, 737, 129, 202, 911, 939, 227, 454, 584, 379, 24, 456, 123, 926, 77, 314, 535, 866, 436, 705, 42, 176, 86, 525, 11, 821, 195, 368, 242, 585, 25, 46, 561, 855, 472, 738, 659, 170, 196, 890, 56, 93, 787, 242, 2, 327, 359, 552, 110, 203, 754, 353, 355, 15, 70, 969, 858, 795, 562, 521, 126, 126, 412, 460, 859, 432, 596, 983, 69, 14, 375, 302, 11, 554, 29, 642, 10, 156, 270, 911, 737, 626, 499, 430, 778, 743, 336, 908, 475, 565, 489, 286, 222, 882, 568, 445, 505, 627, 897, 583, 227, 377, 88, 264, 294, 258, 538, 279, 175, 764, 566, 308, 382, 409, 207, 88, 586, 290, 851, 837, 697, 604, 756, 835, 410, 584, 125, 695, 179, 864, 329, 192, 674, 869, 700, 220, 458, 25, 826, 704, 258, 17, 829, 815, 941, 868, 119, 373, 259, 212, 440, 321, 464, 341, 656, 131, 900, 174, 168, 255, 848, 826, 256, 594, 913, 385, 621, 758, 28, 48, 654, 819, 917, 153, 293, 541, 362, 273, 365, 191, 853, 8, 175, 404, 277, 525, 511, 882, 638, 91, 83, 277, 306, 209, 274, 439, 160, 521, 576, 133, 217, 825, 46, 644, 522, 683, 94, 808, 193, 855, 720, 794, 42, 581, 510, 676, 693, 222, 137, 916, 0, 507, 228, 386, 327, 203, 811, 519, 656, 232, 223, 579, 12, 246, 19, 685, 461, 768, 483, 438, 178, 868, 50, 279, 14, 394, 387, 414, 557, 929, 755, 750, 829, 402, 67, 879, 934, 351, 100, 507, 587, 50, 839, 929, 43, 815, 376, 251, 321, 714, 951, 894, 614, 274, 331, 450, 117, 99, 891, 254, 335, 493, 984, 500, 544, 325, 320, 243, 368, 817, 819, 832, 732, 734, 115, 208, 37, 884, 124, 115, 719, 606, 716, 793, 526, 624, 378, 64, 836, 4, 328, 848, 62, 654, 770, 215, 589, 661, 112, 320, 817, 760, 613, 782, 425, 590, 480, 603, 54, 546, 706, 469, 975, 465, 92, 870, 469, 678, 266, 466, 645, 138, 881, 703, 323, 95, 713, 964, 898, 710, 383, 527, 325, 989, 2, 246, 318, 96, 279, 916, 946, 890, 868, 548, 872, 187, 890, 96, 138, 421, 445, 739, 887, 724, 363, 153, 102, 619, 375, 248, 832, 74, 30, 688, 13, 523, 1, 808, 325, 397, 528, 728, 54, 962, 638, 555, 518, 494, 244, 418, 881, 537, 730, 452, 550, 494, 11, 866, 813, 491, 807, 207, 481, 515, 682, 357, 250, 392, 340, 608, 850, 891, 353, 970, 235, 947, 865, 468, 119, 815, 287, 318, 361, 681, 199, 970, 935, 215, 155, 650, 882, 254, 879, 332, 328, 490, 673, 960, 808, 537, 584, 206, 224, 743, 231, 544, 83, 565, 367, 173, 28, 620, 621, 678, 212, 683, 906, 330, 308, 143, 83, 340, 225, 385, 929, 62, 691, 907, 188, 812, 153, 446, 166, 618, 332, 139, 374, 660, 35, 772, 629, 154, 111, 973, 872, 433, 843, 850, 272, 774, 57, 196, 594, 974, 349, 111, 319, 254, 789, 288, 455, 559, 606, 326, 386, 541, 515, 51, 867, 691, 95, 288, 809, 253, 914, 163, 626, 632, 443, 922, 276, 810, 731, 277, 380, 596, 586, 251, 973, 986, 52, 665, 840, 864, 776, 623, 306, 281, 933, 531, 198, 665, 259, 560, 220, 775, 410, 334, 847, 192, 47, 811, 35, 212, 434, 934, 263, 825, 174, 287, 115, 235, 391, 544, 578, 563, 226, 60, 85, 251, 506, 425, 751, 12, 36, 335, 452, 820, 971, 945, 751, 320, 314, 300, 541, 938, 135, 164, 860, 551, 634, 389, 880, 443, 349, 14, 558, 915, 543, 946, 680, 43, 609, 78, 550, 163, 144, 716, 32, 598, 608, 567, 224, 802, 985, 519, 960, 757, 215, 271, 262, 543, 669, 238, 259, 871, 73, 32, 809, 351, 396, 535, 40, 176, 191, 129, 119, 573, 821, 458, 268, 112, 17, 71, 943, 361, 976, 639, 833, 583, 596, 63, 89, 557, 725, 117, 169, 442, 891, 763, 555, 379, 214, 442, 319, 271, 555, 237, 976, 56, 412, 639, 884, 735, 862, 399, 379, 743, 230, 852, 727, 603, 466, 71, 616, 523, 175, 703, 92, 5, 840, 896, 364, 43, 771, 947, 269, 304, 35, 44, 846, 344, 607, 908, 137, 46, 401, 503, 967, 435, 86, 37, 412, 503, 722, 459, 930, 40, 803, 194, 461, 240, 719, 110, 552, 767, 955, 418, 304, 950, 756, 509, 347, 173, 844, 122, 275, 452, 136, 455, 589, 681, 714, 923, 610, 949, 644, 464, 985, 757, 866, 812, 746, 454, 775, 662, 480, 812, 718, 13, 671, 601, 811, 989, 151, 805, 7, 594, 577, 568, 830, 899, 585, 738, 302, 807, 556, 785, 874, 351, 681, 91, 103, 976, 969, 24, 698, 881, 258, 585, 565, 410, 408, 897, 759, 499, 151, 830, 422, 551, 725, 697, 97, 336, 792, 199, 197, 367, 842, 243, 770, 865, 554, 358, 797, 377, 767, 394, 600, 196, 331, 155, 563, 568, 653, 871, 502, 400, 564, 206, 971, 45, 967, 326, 623, 677, 289, 705, 914, 850, 826, 763, 236, 367, 515, 958, 966, 526, 645, 408, 417, 901, 787, 319, 840, 512, 554, 589, 562, 912, 527, 833, 128, 835, 518, 856, 649, 768, 768, 825, 147, 127, 942, 444, 766, 127, 735, 738, 604, 240, 619, 817, 847, 729, 450, 853, 182, 483, 339, 571, 81, 653, 65, 252, 736, 63, 534, 485, 798, 347, 371, 720, 397, 569, 674, 788, 409, 928, 293, 641, 447, 19, 170, 710, 755, 903, 93, 60, 728, 634, 112, 187, 500, 45, 841, 478, 271, 525, 388, 729, 590, 923, 522, 255, 770, 199, 82, 706, 275, 368, 494, 483, 651, 365, 216, 824, 801, 720, 130, 836, 945, 552, 433, 333, 346, 366, 321, 919, 813, 76, 484, 961, 668, 6, 719, 399, 924, 224, 576, 843, 610, 194, 389, 802, 373, 896, 346, 772, 138, 603, 148, 803, 131, 875, 510, 332, 347, 793, 207, 414, 71, 523, 987, 856, 870, 856, 127, 344, 872, 263, 791, 839, 694, 647, 348, 398, 857, 918, 417, 864, 364, 476, 280, 683, 900, 883, 923, 470, 501, 564, 862, 25, 376, 268, 721, 102, 737, 704, 612, 442, 305, 382, 354, 851, 938, 841, 132, 723, 489, 698, 970, 609, 317, 502, 281, 397, 82, 791, 775, 48, 306, 275, 242, 236, 869, 421, 467, 170, 987, 353, 360, 201, 230, 806, 376, 263, 485, 256, 697, 975, 0, 129, 149, 673, 792, 780, 879, 787, 694, 745, 793, 142, 819, 221, 581, 546, 938, 401, 428, 360, 422, 205, 359, 49, 445, 256, 108, 5, 867, 988, 179, 564, 513, 468, 143, 846, 414, 519, 180, 273, 490, 150, 680, 239, 32}

    {528, 491, 407, 393, 827, 390, 44, 481, 247, 291, 96, 558, 171, 777, 168, 290, 6, 726, 859, 257, 722, 159, 831, 400, 498, 4, 952, 324, 647, 80, 446, 508, 702, 468, 50, 660, 38, 391, 636, 760, 804, 750, 655, 479, 673, 264, 474, 181, 924, 509, 622, 708, 928, 798, 693, 618, 963, 311, 671, 863, 858, 424, 988, 761, 8, 261, 741, 542, 55, 16, 512, 190, 369, 270, 267, 146, 436, 428, 962, 919, 980, 171, 549, 53, 188, 880, 428, 790, 495, 514, 670, 885, 715, 387, 538, 652, 208, 886, 909, 679, 790, 948, 827, 749, 965, 754, 144, 708, 61, 730, 20, 702, 260, 39, 520, 213, 149, 543, 513, 916, 365, 438, 441, 745, 75, 292, 74, 685, 377, 952, 89, 105, 773, 814, 278, 338, 154, 983, 592, 615, 936, 783, 621, 607, 718, 895, 299, 696, 152, 854, 727, 814, 902, 194, 19, 503, 696, 79, 195, 250, 773, 342, 167, 732, 773, 714, 431, 532, 694, 169, 925, 524, 517, 661, 342, 80, 677, 109, 715, 52, 185, 659, 358, 539, 574, 628, 95, 875, 669, 886, 873, 535, 67, 566, 794, 141, 907, 102, 58, 687, 540, 88, 27, 774, 800, 345, 560, 789, 167, 113, 267, 741, 107, 701, 447, 675, 384, 297, 143, 427, 965, 423, 871, 611, 506, 430, 471, 180, 801, 477, 10, 172, 597, 695, 877, 395, 381, 107, 605, 118, 701, 477, 633, 530, 968, 444, 786, 860, 15, 532, 449, 449, 182, 482, 643, 847, 286, 134, 292, 610, 655, 753, 355, 4, 6, 666, 94, 712, 228, 120, 952, 598, 505, 731, 432, 852, 828, 218, 905, 191, 844, 203, 613, 744, 795, 786, 118, 343, 746, 136, 932, 204, 662, 575, 473, 237, 273, 360, 822, 44, 926, 423, 499, 311, 305, 531, 821, 168, 193, 524, 962, 842, 641, 530, 16, 732, 630, 849, 904, 909, 813, 942, 545, 451, 249, 876, 573, 921, 407, 172, 496, 403, 498, 68, 711, 22, 211, 628, 616, 946, 56, 828, 245, 439, 595, 33, 726, 749, 685, 943, 711, 372, 177, 229, 72, 70, 53, 41, 362, 185, 204, 38, 905, 506, 459, 502, 741, 265, 474, 717, 398, 39, 495, 638, 979, 667, 416, 935, 40, 133, 677, 876, 453, 352, 165, 3, 514, 834, 280, 692, 310, 245, 658, 802, 158, 105, 702, 576, 411, 957, 462, 200, 956, 747, 474, 614, 769, 125, 599, 532, 982, 74, 654, 948, 712, 767, 701, 756, 272, 843, 692, 424, 740, 480, 252, 551, 739, 123, 356, 17, 317, 370, 189, 257, 669, 488, 941, 450, 222, 437, 313, 214, 23, 717, 651, 261, 633, 880, 857, 860, 370, 540, 796, 459, 92, 507, 935, 323, 123, 120, 985, 31, 889, 953, 139, 457, 111, 648, 312, 646, 142, 930, 150, 381, 484, 157, 904, 247, 778, 709, 801, 508, 624, 219, 238, 783, 944, 322, 162, 261, 628, 920, 820, 653, 977, 834, 1, 132, 303, 625, 810, 717, 357, 512, 86, 232, 189, 446, 8, 893, 125, 620, 132, 750, 845, 234, 663, 477, 472, 722, 646, 291, 134, 301, 537, 298, 724, 655, 323, 159, 591, 895, 107, 47, 617, 162, 522, 68, 844, 435, 55, 146, 430, 769, 229, 369, 547, 393, 374, 670, 740, 927, 423, 235, 350, 748, 148, 158, 804, 416, 894, 315, 615, 633, 303, 333, 842, 262, 707, 395, 85, 590, 699, 657, 861, 355, 804, 624, 635, 305, 284, 157, 699, 73, 888, 299, 675, 800, 569, 466, 583, 899, 575, 223, 9, 643, 496, 643, 384, 186, 389, 885, 887, 106, 312, 404, 548, 420, 449, 933, 186, 282, 514, 313, 570, 337, 982, 80, 413, 944, 497, 977, 771, 838, 434, 145, 268, 298, 747, 662, 66, 121, 178, 877, 666, 234, 292, 931, 684, 650, 247, 316, 69, 979, 189, 457, 253, 967, 158, 612, 953, 649, 978, 413, 104, 28, 630, 184, 831, 239, 337, 387, 601, 487, 955, 22, 799, 7, 470, 652, 116, 61, 341, 695, 762, 469, 567, 316, 863, 53, 366, 122, 687, 777, 753, 90, 295, 433, 21, 156, 213, 393, 612, 851, 145, 723, 435, 76, 436, 542, 676, 352, 404, 776, 489, 749, 572, 73, 282, 307, 276, 419, 592, 211, 21, 381, 517, 133, 315, 136, 309, 295, 579, 959, 549, 70, 287, 956, 221, 878, 883, 301, 905, 874, 740, 210, 231, 460, 956, 79, 248, 340, 329, 210, 72, 485, 38, 573, 580, 79, 114, 318, 672, 174, 296, 101, 546, 161, 765, 822, 781, 482, 898, 388, 712, 911, 873, 595, 354, 383, 805, 883, 940, 622, 959, 816, 957, 889, 403, 237, 181, 69, 658, 838, 690, 476, 800, 81, 873, 707, 460, 232, 666, 908, 980, 206, 496, 509, 909, 298, 636, 190, 475, 794, 968, 299, 574, 597, 283, 165, 698, 622, 26, 183, 664, 913, 680, 426, 315, 343, 926, 454, 124, 51, 490, 608, 339, 907, 925, 233, 363, 558, 953, 572, 20, 598, 747, 486, 788, 774, 384, 364, 144, 964, 631, 948, 471, 390, 859, 684, 796, 696, 390, 75, 780, 283, 146, 432, 300, 23, 296, 943, 567, 748, 139, 55, 691, 600, 933, 936, 324, 479, 431, 269, 226, 511, 463, 822, 910, 405, 190, 329, 253, 415, 927, 982, 186, 595, 200, 778, 429, 592, 218, 591, 752, 441, 705, 369, 739, 41, 561, 963, 265, 966, 878, 526, 765, 726, 464, 912, 553, 354, 431, 295, 682, 824, 833, 972, 362, 939, 547, 87, 849, 742, 704, 448, 216, 648, 721, 560, 901, 504, 330, 602, 266, 658, 799, 231, 858, 108, 796, 337, 345, 343, 405, 408, 113, 27, 109, 642, 605, 406, 101, 652, 951, 620, 988, 290, 31, 635, 316, 265, 772, 721, 218, 981, 675, 611, 845, 181, 363, 309, 248, 578, 965, 426, 751, 854, 492, 198, 582, 973, 723, 539, 285, 637, 23, 294, 98, 31, 918, 736, 411, 406, 284, 959, 84, 922, 786, 197, 917, 744, 566, 679, 437, 910, 249, 58, 451, 878, 986, 759, 416, 927, 152, 734, 827, 223, 154, 473, 761, 930, 692, 34, 177, 233, 307, 984, 348, 105, 156, 657, 530, 356, 205, 896, 805, 582, 51, 545, 18, 34, 27, 465, 524, 682, 225, 649, 637, 140, 33, 707, 260, 536, 394, 618, 981, 539, 918, 405, 972, 785, 553, 508, 841, 169, 733, 931, 9, 591, 818, 270, 828, 684, 434, 140, 947, 7, 688, 98, 928, 391, 484, 462, 593, 99, 185, 875, 597, 184, 861, 955, 495, 338, 18, 165, 501, 420, 350, 921, 59, 118, 68, 22, 634, 910, 667, 392, 517, 715, 75, 348, 486, 245, 219, 689, 780, 463, 790, 497, 797, 407, 269, 540, 932, 13, 297, 281, 797, 357, 208, 61, 563, 534, 625, 419, 689, 240, 593, 642, 411, 419, 690, 611, 296, 529, 200, 20, 831, 500, 124, 626, 538, 60, 282, 97, 783, 760, 630, 980, 463, 415, 533, 475, 615, 663, 845, 816, 283, 309, 183, 473, 870, 549, 744, 713, 865, 915, 925, 114, 545, 487, 307, 578, 644, 310, 730, 420, 352, 72, 686, 784, 561, 58, 429, 400, 966, 606, 161, 588, 570, 84, 547, 65, 380, 30, 571, 950, 229, 534, 951, 939, 912, 940, 754, 453, 725, 441, 184, 97, 297, 342, 312, 286, 888, 559, 39, 465, 533, 130, 101, 823, 941, 116, 579, 291, 609, 164, 272, 183, 339, 152, 104, 176, 785, 478, 380, 940, 963, 986, 957, 893, 210, 520, 667, 98, 917, 162, 861, 166, 686, 575, 487, 605, 211, 510, 665, 84, 838, 631, 288, 87, 192, 736, 322, 66, 120, 346, 322, 117, 134, 180, 758, 267, 338, 688, 556, 700, 529, 204, 599, 849, 219, 550, 366, 816, 426, 126, 876, 897, 937, 640, 528, 479, 902, 690, 617, 49, 234, 284, 877, 159, 492, 313, 765, 21, 516, 784, 978, 444, 582, 33, 193, 945, 893, 958, 972, 650, 748, 664, 889, 784, 36, 906, 892, 834, 114, 533, 689, 854, 733, 536, 280, 395, 482, 310, 771, 356, 600, 145, 285, 627, 542, 78, 837, 90, 937, 968, 440, 977, 641, 9, 462, 47, 372, 303, 486, 59, 837, 311, 415, 467, 36, 492, 425, 954, 724, 577, 150, 920, 913, 257, 888, 593, 109, 113, 140, 944, 761, 103, 241, 588, 647, 41, 167, 769, 90, 439, 742, 892, 131, 104, 974, 752, 178, 742, 766, 372, 471, 238, 448, 106, 895, 177, 374, 106, 536, 823, 406, 66, 202, 529, 5, 214, 383, 661, 3, 762, 758, 155, 894, 161, 197, 447, 752, 795, 571, 954, 687, 711, 848, 887, 686, 640, 657, 461, 892, 225, 141, 601, 213, 81, 950, 504, 921, 885, 141, 476, 779, 708, 333, 668, 616, 733, 388, 806, 89, 205, 700, 557, 188, 636, 978, 427, 820, 617, 664, 65, 345, 1, 814, 171, 18, 901, 301}

    Returns: {0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0 }

  93. 990

    {869, 350, 203, 225, 339, 266, 320, 339, 33, 31, 10, 677, 961, 638, 325, 682, 99, 351, 116, 340, 686, 645, 62, 934, 821, 867, 595, 396, 448, 20, 684, 26, 546, 262, 604, 57, 466, 426, 134, 568, 482, 884, 919, 136, 894, 702, 103, 423, 445, 773, 188, 493, 71, 351, 500, 453, 446, 732, 161, 398, 316, 118, 544, 364, 636, 309, 102, 39, 200, 249, 604, 269, 248, 240, 963, 508, 265, 732, 724, 223, 356, 745, 960, 14, 372, 987, 402, 245, 195, 274, 321, 132, 65, 120, 714, 110, 666, 424, 989, 971, 92, 452, 631, 168, 831, 192, 786, 740, 907, 441, 900, 173, 544, 450, 758, 868, 465, 931, 100, 182, 663, 88, 545, 44, 922, 940, 698, 483, 968, 902, 297, 953, 7, 692, 172, 714, 17, 619, 1, 113, 581, 778, 747, 677, 648, 822, 521, 532, 179, 417, 784, 317, 682, 403, 368, 23, 436, 947, 380, 958, 702, 290, 672, 129, 935, 790, 317, 761, 820, 365, 506, 609, 733, 674, 527, 223, 281, 591, 824, 172, 347, 446, 89, 352, 681, 509, 66, 127, 283, 128, 124, 770, 537, 27, 333, 133, 388, 436, 182, 51, 825, 894, 594, 728, 362, 744, 744, 731, 173, 253, 785, 48, 672, 438, 121, 986, 198, 302, 399, 734, 683, 617, 812, 142, 345, 117, 711, 936, 471, 132, 342, 381, 554, 484, 359, 923, 949, 471, 85, 732, 750, 305, 861, 696, 72, 781, 384, 535, 968, 786, 201, 133, 67, 116, 600, 699, 988, 973, 750, 348, 326, 441, 152, 32, 129, 209, 75, 821, 325, 349, 367, 161, 694, 141, 175, 65, 370, 989, 783, 981, 940, 779, 903, 586, 626, 704, 238, 292, 164, 684, 628, 895, 387, 986, 221, 28, 154, 81, 527, 913, 153, 147, 164, 575, 782, 831, 419, 677, 871, 680, 49, 3, 662, 69, 312, 165, 565, 899, 187, 22, 573, 890, 403, 616, 755, 425, 539, 602, 816, 323, 652, 461, 298, 640, 889, 292, 675, 190, 809, 922, 643, 970, 171, 476, 83, 949, 67, 669, 900, 726, 914, 810, 748, 170, 516, 652, 441, 395, 921, 761, 518, 866, 386, 473, 83, 582, 409, 356, 688, 756, 61, 861, 168, 315, 158, 188, 925, 784, 902, 854, 500, 570, 822, 382, 252, 401, 810, 377, 927, 606, 789, 23, 301, 623, 828, 794, 139, 819, 813, 301, 932, 412, 805, 136, 820, 792, 109, 15, 665, 981, 689, 970, 152, 670, 632, 591, 319, 197, 183, 927, 60, 858, 261, 45, 62, 178, 362, 475, 969, 85, 428, 665, 70, 479, 771, 688, 935, 367, 718, 343, 331, 38, 479, 602, 713, 20, 62, 133, 924, 828, 431, 125, 15, 520, 169, 561, 177, 771, 935, 71, 659, 15, 702, 673, 922, 124, 410, 375, 592, 118, 298, 492, 912, 493, 355, 170, 151, 24, 110, 983, 102, 348, 916, 981, 924, 521, 136, 37, 53, 198, 807, 8, 123, 458, 138, 755, 681, 317, 246, 495, 771, 396, 905, 48, 186, 134, 121, 343, 897, 71, 550, 556, 768, 734, 138, 640, 735, 158, 224, 983, 836, 369, 924, 99, 453, 235, 909, 75, 914, 304, 289, 33, 370, 853, 558, 151, 664, 482, 564, 205, 471, 801, 914, 743, 547, 709, 357, 219, 98, 579, 219, 251, 550, 514, 223, 234, 116, 35, 764, 697, 335, 178, 20, 782, 962, 2, 974, 374, 331, 526, 459, 551, 723, 280, 939, 509, 886, 410, 145, 107, 115, 717, 150, 894, 631, 383, 320, 887, 56, 799, 785, 314, 82, 676, 169, 757, 874, 943, 369, 861, 385, 48, 125, 756, 870, 449, 207, 99, 832, 645, 849, 961, 619, 740, 331, 266, 217, 21, 850, 701, 226, 245, 78, 838, 119, 225, 76, 89, 454, 709, 14, 477, 45, 472, 834, 928, 58, 711, 673, 650, 244, 308, 841, 342, 459, 913, 580, 40, 35, 575, 236, 238, 93, 987, 768, 251, 42, 547, 789, 878, 485, 868, 478, 516, 879, 318, 418, 989, 659, 494, 778, 766, 367, 168, 664, 611, 903, 787, 700, 516, 122, 438, 315, 554, 643, 664, 597, 179, 360, 83, 235, 497, 281, 927, 871, 321, 240, 221, 778, 567, 535, 326, 189, 318, 963, 110, 139, 793, 175, 646, 890, 647, 912, 422, 292, 758, 398, 450, 938, 295, 107, 635, 647, 152, 77, 428, 787, 666, 776, 153, 668, 860, 448, 394, 951, 70, 87, 454, 207, 621, 584, 532, 315, 451, 808, 787, 604, 232, 300, 450, 173, 333, 905, 393, 697, 959, 910, 906, 37, 281, 268, 290, 384, 387, 38, 137, 322, 403, 462, 483, 492, 887, 663, 722, 277, 452, 589, 470, 67, 597, 669, 570, 342, 237, 949, 63, 699, 561, 837, 74, 879, 452, 826, 663, 411, 659, 41, 100, 104, 199, 762, 470, 103, 856, 311, 733, 864, 639, 647, 187, 246, 705, 965, 543, 179, 320, 437, 335, 304, 864, 573, 394, 896, 393, 887, 389, 142, 352, 568, 790, 660, 135, 330, 686, 952, 319, 636, 736, 305, 328, 689, 56, 0, 348, 333, 26, 591, 609, 234, 7, 572, 239, 482, 716, 609, 351, 692, 932, 16, 232, 568, 197, 33, 705, 768, 582, 694, 262, 962, 380, 305, 542, 941, 874, 70, 793, 466, 375, 355, 437, 444, 495, 269, 476, 791, 171, 164, 766, 710, 483, 844, 355, 593, 834, 278, 896, 345, 773, 423, 667, 26, 395, 366, 746, 19, 188, 169, 873, 157, 755, 649, 615, 353, 832, 111, 389, 295, 119, 866, 882, 434, 424, 495, 589, 974, 192, 867, 143, 201, 988, 387, 763, 437, 842, 748, 750, 759, 42, 856, 39, 624, 956, 860, 35, 497, 569, 639, 195, 249, 869, 666, 893, 135, 984, 406, 300, 274, 585, 205, 316, 859, 926, 696, 687, 228, 562, 160, 642, 95, 207, 44, 100, 174, 105, 859, 316, 228, 340, 120, 524, 746, 745, 466, 512, 728, 275, 793, 382, 457, 911, 792, 972, 8, 965, 897, 446, 509, 358, 270, 765, 337, 718, 392, 756, 200, 814, 933, 41, 695, 829, 603, 381, 275, 187, 880, 618, 716, 140, 330, 161, 653, 275, 873, 651, 352, 463, 911, 623, 910, 814, 544, 336, 329, 28, 979, 707, 142, 356, 722, 512, 181, 300, 896, 23, 607, 550, 321, 54, 853, 934, 563, 786, 825, 425, 897, 546, 540, 945, 364, 399, 854, 558, 982, 569, 796, 710, 642, 982, 713, 775, 816, 39, 399, 882, 683, 519, 681, 632, 537, 700, 253, 866, 946, 427, 667, 925, 114, 669, 585, 12, 339, 124, 45, 515, 836, 141, 695, 834, 860, 696, 31, 842, 382, 456, 415, 428, 654, 89, 465, 909, 977, 66, 816, 817, 199, 25, 192, 723, 814, 197, 819, 307, 218, 587, 405, 906, 354, 953, 497, 84, 417, 337, 676, 521, 371, 91, 574, 553, 372, 494, 810, 330, 906, 196, 760, 665, 573, 455, 556, 423, 619, 687, 618, 327, 607, 41, 146, 429, 969, 565, 289, 538, 844, 193, 113, 167, 923, 707, 589, 679, 783, 237, 594, 438, 447, 440, 280, 838, 878, 685, 464, 328, 475, 202, 634, 895, 259, 859, 821, 624, 38, 577, 103, 601, 603, 723, 265, 364, 548, 743, 595, 172, 962, 421, 913, 280, 376, 341, 454, 907, 888, 455, 662, 973, 202, 21, 692, 806, 954, 465, 229, 138, 297, 5, 561, 426, 415, 673, 219, 720, 105, 836, 554, 22, 65, 741, 30, 726, 240, 488, 144, 695, 711, 530, 191, 18, 212, 738, 104, 530, 443, 409, 335, 334, 932, 285, 17, 135, 905, 358, 675, 958, 200, 374, 900, 69, 118, 883, 123, 915, 876, 638, 791, 775, 628, 856, 369, 425, 314, 601, 636, 30, 522, 587, 183, 559, 934, 77, 436, 707, 888, 891, 24, 910, 961, 565, 417, 623, 909, 869, 689, 947, 324, 639, 157, 308, 628, 266, 988, 580, 358, 937, 163, 30, 853, 951, 233, 480, 765, 982, 182, 794, 819, 21, 670, 128, 407, 245, 953, 667, 973, 610, 144, 714, 809, 340, 706, 443, 345, 588, 328, 12, 88, 884, 107, 7, 156, 290, 700, 416, 327, 890, 456, 261, 542, 757, 560, 593, 621, 968, 123, 212, 183, 298, 548, 479, 17, 525, 405, 230, 709, 625, 634, 946, 641, 76, 687, 882, 862, 745, 377, 196, 93, 218, 309, 32, 427, 895, 804, 971, 539, 274, 747, 334, 461, 500, 456, 289, 105, 36, 43, 921, 975, 434, 407, 891, 457, 95, 674, 762, 559, 627, 542, 1, 919, 405, 564, 347, 288, 654, 515, 202, 635, 439, 781, 447, 4, 303, 163, 879, 375, 411, 809, 899, 817, 657, 447, 892, 975, 964, 125, 444, 411, 564, 170, 637, 0, 571, 98, 429, 512, 445, 325, 933, 959, 260, 792, 56, 146, 220, 827, 940, 448, 560, 762, 370, 722, 983, 892, 171, 235, 549, 372, 933, 952, 96, 54, 148, 540, 60, 848, 611, 424, 781, 394}

    {579, 631, 261, 206, 185, 652, 813, 204, 72, 805, 144, 149, 422, 137, 241, 213, 616, 467, 147, 966, 788, 413, 737, 830, 433, 357, 4, 915, 939, 630, 566, 901, 18, 276, 57, 528, 282, 851, 6, 721, 718, 898, 469, 350, 599, 841, 492, 64, 863, 931, 751, 671, 531, 191, 649, 536, 688, 27, 40, 112, 306, 823, 368, 435, 543, 779, 296, 504, 286, 807, 167, 150, 163, 612, 525, 644, 210, 277, 205, 435, 272, 400, 923, 52, 299, 365, 501, 613, 34, 985, 598, 698, 719, 464, 653, 627, 717, 396, 742, 605, 487, 845, 574, 46, 648, 401, 5, 567, 174, 831, 221, 307, 553, 584, 391, 646, 803, 901, 373, 449, 326, 824, 598, 767, 252, 109, 427, 40, 613, 583, 508, 637, 5, 957, 610, 569, 868, 395, 830, 25, 838, 111, 984, 928, 31, 255, 653, 363, 359, 703, 82, 77, 114, 404, 911, 800, 309, 181, 804, 641, 184, 501, 413, 523, 596, 59, 651, 312, 840, 847, 855, 255, 596, 442, 656, 592, 13, 804, 126, 343, 954, 80, 749, 148, 678, 901, 231, 69, 489, 837, 185, 642, 735, 263, 231, 467, 802, 130, 880, 243, 489, 368, 557, 691, 845, 780, 984, 491, 987, 627, 690, 886, 400, 478, 815, 614, 576, 132, 741, 505, 291, 180, 80, 432, 849, 867, 250, 503, 571, 812, 257, 36, 502, 622, 504, 341, 942, 837, 883, 175, 635, 928, 478, 522, 634, 52, 655, 406, 313, 392, 727, 212, 162, 453, 344, 488, 570, 872, 101, 322, 388, 598, 357, 279, 770, 785, 341, 539, 706, 533, 250, 87, 797, 979, 91, 557, 629, 50, 706, 262, 705, 476, 379, 6, 196, 782, 698, 462, 306, 685, 473, 840, 401, 264, 226, 379, 761, 337, 731, 313, 81, 194, 507, 649, 311, 803, 775, 852, 468, 510, 527, 507, 749, 332, 502, 683, 113, 149, 875, 209, 908, 777, 414, 950, 58, 903, 886, 440, 433, 715, 606, 96, 486, 143, 400, 559, 528, 791, 137, 84, 876, 285, 47, 729, 52, 276, 361, 426, 329, 796, 486, 843, 852, 373, 515, 176, 943, 644, 577, 502, 902, 286, 141, 291, 3, 526, 148, 8, 359, 622, 780, 79, 858, 406, 616, 3, 596, 97, 517, 851, 460, 760, 36, 106, 583, 430, 24, 661, 247, 599, 630, 946, 950, 701, 870, 926, 517, 840, 842, 908, 250, 29, 739, 374, 145, 615, 865, 458, 189, 271, 549, 610, 552, 25, 322, 149, 185, 738, 823, 754, 354, 13, 477, 795, 728, 469, 50, 852, 889, 541, 310, 213, 253, 828, 90, 418, 622, 519, 615, 685, 799, 332, 16, 108, 68, 578, 708, 127, 977, 487, 211, 815, 818, 767, 797, 878, 547, 11, 484, 729, 189, 944, 985, 365, 605, 204, 736, 566, 55, 419, 498, 510, 577, 390, 408, 675, 763, 759, 874, 55, 833, 533, 843, 534, 976, 877, 360, 481, 242, 937, 757, 485, 848, 624, 916, 127, 279, 774, 637, 302, 488, 84, 376, 691, 693, 592, 313, 361, 712, 379, 63, 236, 758, 941, 16, 586, 658, 818, 420, 134, 51, 301, 537, 841, 156, 49, 974, 916, 724, 506, 381, 898, 278, 236, 474, 562, 678, 34, 772, 19, 844, 919, 498, 267, 846, 224, 580, 588, 421, 296, 889, 222, 204, 590, 892, 920, 156, 29, 475, 567, 376, 378, 876, 701, 704, 744, 126, 126, 597, 686, 955, 490, 729, 808, 833, 811, 697, 954, 694, 776, 784, 314, 327, 803, 360, 955, 682, 846, 98, 210, 282, 73, 97, 418, 203, 402, 458, 443, 184, 251, 846, 848, 296, 733, 75, 747, 94, 108, 209, 255, 576, 68, 751, 708, 855, 442, 363, 770, 684, 790, 952, 241, 752, 776, 508, 97, 160, 491, 726, 986, 214, 820, 888, 391, 575, 788, 925, 265, 847, 546, 548, 534, 408, 795, 291, 555, 533, 633, 766, 918, 176, 620, 608, 731, 571, 257, 824, 651, 763, 795, 930, 206, 44, 338, 42, 13, 445, 948, 114, 579, 143, 563, 893, 646, 735, 131, 9, 720, 966, 857, 481, 780, 72, 765, 956, 276, 893, 620, 88, 214, 727, 721, 407, 385, 220, 599, 470, 617, 929, 433, 90, 802, 811, 858, 885, 108, 518, 850, 972, 493, 193, 64, 524, 60, 349, 717, 581, 501, 9, 600, 557, 312, 945, 481, 385, 712, 393, 157, 131, 812, 971, 159, 612, 825, 562, 397, 967, 366, 835, 78, 603, 230, 558, 76, 670, 929, 885, 772, 970, 978, 49, 66, 955, 862, 258, 741, 578, 284, 78, 259, 676, 499, 203, 19, 227, 871, 429, 660, 710, 420, 883, 85, 248, 388, 279, 288, 880, 626, 917, 799, 529, 964, 2, 268, 271, 951, 650, 61, 455, 238, 270, 655, 630, 294, 748, 773, 336, 719, 972, 752, 749, 371, 680, 216, 740, 798, 715, 822, 398, 931, 538, 930, 487, 863, 302, 451, 788, 807, 536, 552, 324, 489, 96, 287, 177, 230, 572, 769, 601, 311, 474, 226, 679, 193, 511, 801, 153, 234, 120, 421, 507, 186, 739, 621, 473, 273, 278, 242, 254, 632, 830, 225, 247, 572, 485, 439, 777, 538, 129, 798, 215, 774, 11, 53, 472, 730, 503, 977, 258, 496, 629, 258, 737, 408, 440, 243, 6, 154, 602, 496, 430, 334, 47, 625, 811, 650, 751, 839, 392, 12, 490, 985, 254, 827, 730, 938, 679, 273, 719, 239, 980, 549, 228, 760, 410, 256, 145, 472, 551, 293, 460, 754, 772, 586, 435, 306, 523, 644, 789, 104, 767, 252, 81, 86, 668, 347, 462, 287, 412, 94, 595, 286, 526, 273, 957, 154, 560, 605, 213, 237, 944, 319, 160, 563, 307, 284, 244, 703, 978, 815, 725, 536, 912, 86, 699, 917, 818, 680, 823, 297, 511, 409, 898, 91, 671, 178, 457, 92, 584, 918, 86, 594, 654, 467, 140, 480, 115, 50, 764, 716, 513, 53, 720, 967, 941, 796, 917, 802, 216, 545, 585, 534, 865, 92, 165, 514, 218, 904, 415, 267, 504, 738, 37, 58, 956, 47, 303, 920, 845, 907, 383, 272, 318, 980, 434, 211, 769, 921, 576, 264, 851, 46, 490, 541, 180, 969, 739, 734, 151, 884, 0, 593, 511, 779, 608, 942, 881, 463, 800, 420, 494, 162, 461, 248, 849, 826, 556, 191, 545, 769, 215, 864, 283, 693, 459, 414, 256, 155, 959, 22, 468, 11, 294, 806, 671, 323, 431, 835, 614, 208, 753, 620, 929, 942, 499, 304, 27, 117, 263, 10, 324, 801, 800, 74, 115, 332, 875, 877, 541, 260, 416, 643, 61, 210, 566, 608, 742, 964, 190, 90, 553, 159, 94, 948, 574, 383, 877, 839, 943, 346, 976, 978, 691, 416, 122, 614, 430, 130, 18, 34, 966, 839, 190, 857, 885, 872, 713, 194, 847, 517, 510, 80, 590, 220, 102, 32, 139, 166, 227, 555, 600, 73, 529, 181, 918, 813, 158, 725, 166, 525, 480, 308, 870, 522, 641, 208, 180, 323, 109, 260, 930, 857, 937, 582, 354, 963, 344, 678, 222, 198, 371, 514, 57, 257, 727, 184, 68, 155, 229, 743, 957, 979, 730, 960, 414, 797, 390, 1, 704, 950, 439, 146, 177, 656, 712, 186, 519, 690, 865, 243, 498, 51, 753, 93, 657, 377, 231, 618, 82, 233, 79, 73, 29, 638, 211, 759, 496, 284, 444, 674, 79, 523, 303, 199, 520, 283, 915, 201, 272, 832, 54, 162, 850, 55, 131, 640, 167, 239, 613, 404, 936, 655, 506, 808, 798, 535, 227, 195, 658, 661, 166, 329, 95, 863, 891, 361, 46, 524, 499, 259, 945, 43, 817, 583, 881, 353, 254, 774, 737, 346, 469, 872, 216, 4, 402, 980, 397, 938, 43, 215, 268, 373, 269, 147, 419, 122, 881, 703, 693, 271, 2, 338, 960, 826, 264, 224, 247, 753, 518, 241, 540, 555, 944, 588, 391, 976, 249, 648, 106, 715, 206, 958, 294, 528, 442, 378, 854, 214, 101, 827, 975, 432, 384, 965, 422, 551, 390, 626, 338, 904, 829, 101, 288, 174, 806, 10, 947, 805, 128, 413, 531, 633, 350, 150, 611, 752, 246, 310, 477, 378, 474, 380, 503, 742, 505, 165, 843, 724, 552, 657, 708, 484, 336, 208, 463, 431, 904, 112, 64, 256, 87, 130, 660, 106, 873, 875, 263, 277, 690, 672, 967, 833, 531, 451, 386, 658, 543, 936, 899, 270, 59, 397, 229, 590, 9, 746, 362, 244, 293, 645, 725, 926, 449, 222, 366, 855, 159, 310, 606, 721, 117, 908, 59, 140, 63, 112, 293, 920, 948, 233, 194, 295, 285, 232, 119, 412, 486, 532, 460, 668, 267, 629, 468, 777, 578, 783, 491, 282, 520, 835, 612, 736, 764, 299, 581, 587, 176, 607, 386, 349, 530, 74, 939, 14, 111, 661, 754, 625, 432, 529, 513, 242, 121, 344, 662, 464, 513, 287, 862, 404, 656, 389, 353, 217, 617, 28, 299, 794, 217, 633, 505, 155, 346, 363, 829}

    Returns: {1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 }

  94. 990

    {346, 867, 693, 884, 389, 401, 149, 233, 854, 452, 678, 677, 833, 663, 55, 124, 102, 145, 709, 900, 214, 384, 320, 331, 0, 727, 427, 365, 885, 859, 770, 35, 134, 238, 252, 728, 757, 787, 683, 137, 777, 678, 307, 907, 172, 617, 555, 259, 645, 3, 74, 454, 84, 723, 746, 777, 768, 894, 371, 747, 820, 131, 962, 10, 519, 164, 422, 690, 624, 91, 940, 626, 715, 264, 354, 797, 360, 917, 19, 713, 271, 115, 436, 535, 233, 658, 228, 511, 689, 250, 448, 185, 714, 202, 649, 666, 347, 183, 291, 901, 496, 162, 559, 461, 351, 500, 983, 860, 499, 975, 524, 551, 503, 926, 196, 391, 720, 608, 755, 933, 338, 341, 751, 982, 803, 652, 531, 873, 780, 725, 528, 504, 133, 18, 125, 23, 31, 329, 510, 127, 328, 192, 457, 51, 73, 100, 537, 437, 872, 186, 33, 745, 345, 458, 454, 760, 348, 591, 616, 927, 967, 352, 899, 658, 353, 818, 810, 390, 811, 308, 323, 445, 810, 501, 984, 389, 705, 151, 538, 357, 969, 791, 923, 865, 643, 677, 115, 503, 757, 312, 861, 574, 168, 334, 867, 322, 751, 636, 789, 368, 24, 917, 861, 355, 648, 437, 338, 850, 817, 647, 207, 890, 373, 113, 757, 594, 830, 901, 765, 232, 120, 748, 970, 837, 750, 242, 238, 95, 248, 781, 815, 946, 641, 497, 147, 96, 624, 121, 56, 898, 72, 768, 100, 514, 636, 982, 845, 882, 6, 913, 808, 165, 65, 807, 22, 171, 804, 674, 168, 143, 72, 190, 311, 738, 554, 355, 593, 251, 65, 946, 346, 841, 451, 632, 892, 597, 559, 718, 272, 961, 230, 505, 868, 33, 479, 829, 701, 618, 602, 983, 232, 800, 785, 562, 541, 615, 455, 577, 736, 864, 197, 309, 944, 507, 939, 562, 670, 220, 342, 617, 679, 777, 431, 809, 201, 496, 779, 25, 478, 475, 209, 781, 536, 512, 230, 524, 361, 67, 199, 82, 779, 291, 629, 592, 599, 225, 185, 75, 169, 400, 464, 112, 314, 377, 44, 220, 505, 391, 520, 162, 272, 246, 601, 152, 946, 476, 866, 481, 700, 460, 871, 748, 547, 348, 450, 182, 629, 647, 403, 354, 399, 305, 886, 646, 496, 831, 571, 620, 607, 165, 82, 861, 754, 562, 594, 936, 194, 376, 652, 148, 317, 632, 231, 50, 379, 304, 949, 238, 495, 922, 920, 583, 365, 854, 577, 182, 742, 809, 98, 13, 401, 315, 132, 216, 155, 445, 63, 851, 637, 674, 196, 881, 504, 695, 567, 347, 915, 45, 327, 814, 283, 353, 606, 360, 386, 800, 417, 183, 951, 618, 1, 126, 650, 529, 209, 402, 551, 206, 1, 253, 782, 448, 783, 502, 397, 841, 722, 569, 730, 28, 865, 80, 858, 972, 298, 859, 959, 840, 710, 478, 564, 902, 174, 149, 863, 976, 713, 514, 565, 727, 868, 453, 874, 490, 947, 922, 716, 133, 140, 227, 177, 265, 720, 941, 173, 810, 0, 570, 87, 823, 938, 921, 89, 601, 655, 913, 699, 70, 227, 290, 205, 127, 947, 958, 425, 5, 196, 262, 917, 68, 563, 198, 305, 101, 50, 85, 251, 202, 150, 122, 605, 279, 582, 681, 99, 523, 678, 676, 153, 872, 602, 301, 476, 395, 396, 924, 62, 349, 458, 425, 187, 199, 312, 980, 341, 89, 493, 864, 195, 19, 453, 374, 54, 72, 216, 258, 970, 765, 30, 839, 163, 12, 716, 574, 282, 16, 368, 637, 853, 833, 66, 741, 734, 738, 612, 636, 228, 320, 883, 384, 311, 587, 657, 160, 885, 510, 828, 931, 217, 30, 977, 710, 867, 476, 658, 932, 713, 539, 614, 61, 475, 899, 746, 327, 258, 607, 862, 382, 728, 456, 578, 387, 205, 100, 30, 81, 347, 597, 734, 257, 564, 329, 783, 465, 739, 35, 698, 665, 573, 944, 711, 362, 487, 725, 966, 10, 110, 975, 665, 520, 57, 865, 359, 669, 114, 977, 129, 352, 923, 549, 657, 755, 135, 668, 284, 77, 559, 2, 357, 988, 956, 412, 264, 120, 696, 854, 246, 897, 289, 63, 537, 396, 924, 880, 224, 571, 268, 110, 595, 626, 937, 695, 692, 25, 688, 53, 369, 961, 71, 101, 125, 964, 217, 364, 944, 252, 99, 615, 124, 864, 123, 465, 883, 262, 179, 926, 705, 406, 958, 691, 302, 279, 177, 511, 301, 918, 688, 293, 280, 931, 253, 198, 211, 790, 103, 0, 51, 60, 374, 139, 635, 966, 503, 638, 493, 798, 243, 550, 691, 400, 816, 114, 745, 546, 416, 295, 947, 704, 620, 180, 660, 330, 275, 549, 630, 860, 12, 986, 690, 260, 454, 495, 801, 406, 407, 240, 666, 409, 878, 308, 682, 173, 741, 218, 484, 4, 599, 187, 376, 975, 65, 362, 186, 676, 200, 722, 836, 68, 971, 567, 237, 532, 456, 956, 979, 552, 659, 856, 453, 172, 871, 692, 900, 607, 791, 484, 181, 134, 422, 951, 873, 828, 838, 650, 440, 626, 881, 405, 665, 654, 688, 747, 649, 509, 355, 401, 428, 697, 162, 980, 79, 898, 104, 853, 261, 442, 953, 309, 776, 849, 317, 734, 63, 427, 738, 294, 764, 452, 689, 185, 979, 938, 782, 239, 980, 338, 116, 416, 484, 156, 430, 7, 97, 458, 428, 783, 714, 820, 116, 976, 851, 4, 684, 378, 44, 915, 855, 435, 845, 755, 764, 73, 578, 890, 789, 501, 119, 444, 62, 819, 234, 987, 190, 245, 592, 394, 491, 148, 359, 590, 151, 922, 593, 916, 89, 739, 408, 700, 424, 849, 436, 832, 320, 536, 445, 516, 900, 530, 427, 264, 903, 287, 41, 114, 548, 268, 705, 303, 928, 35, 155, 600, 780, 700, 886, 880, 874, 289, 274, 173, 221, 531, 18, 426, 373, 225, 838, 938, 52, 649, 11, 685, 144, 109, 587, 417, 28, 60, 426, 490, 369, 638, 270, 682, 895, 608, 721, 121, 160, 325, 269, 51, 43, 718, 767, 711, 136, 314, 803, 584, 806, 573, 571, 516, 786, 767, 737, 937, 349, 423, 855, 370, 75, 433, 693, 769, 314, 815, 681, 904, 474, 627, 192, 858, 67, 180, 669, 189, 152, 192, 696, 585, 141, 615, 187, 285, 143, 304, 593, 813, 857, 590, 515, 720, 145, 324, 174, 927, 451, 606, 748, 987, 257, 479, 557, 322, 161, 109, 967, 551, 123, 444, 523, 697, 54, 184, 56, 301, 168, 481, 333, 210, 857, 3, 749, 956, 25, 930, 194, 387, 704, 837, 746, 820, 682, 464, 462, 972, 403, 784, 107, 177, 113, 258, 23, 66, 267, 166, 857, 447, 633, 811, 411, 9, 616, 354, 305, 770, 376, 364, 907, 108, 175, 327, 483, 692, 716, 262, 491, 283, 977, 7, 363, 394, 824, 443, 529, 39, 78, 637, 170, 369, 663, 530, 600, 634, 464, 188, 461, 201, 342, 298, 541, 951, 231, 170, 833, 531, 15, 741, 382, 116, 27, 145, 885, 345, 230, 237, 435, 912, 955, 920, 407, 839, 111, 984, 383, 866, 324, 412, 988, 769, 368, 398, 75, 47, 759, 290, 848, 283, 881, 461, 969, 501, 509, 727, 652, 442, 303, 923, 479, 632, 257, 393, 578, 60, 59, 976, 194, 448, 99, 516, 902, 49, 102, 164, 849, 337, 155, 921, 802, 957, 2, 405, 379, 511, 603, 3, 518, 769, 984, 480, 80, 851, 860, 407, 666, 21, 443, 639, 32, 979, 838, 539, 245, 293, 814, 870, 619, 379, 184, 322, 143, 494, 676, 497, 813, 124, 307, 436, 701, 768, 931, 648, 344, 32, 886, 27, 360, 818, 801, 575, 697, 190, 150, 841, 111, 592, 451, 271, 569, 242, 499, 699, 420, 761, 470, 216, 669, 198, 218, 121, 336, 606, 112, 395, 982, 260, 549, 235, 858, 110, 426, 79, 563, 224, 219, 735, 708, 499, 61, 213, 13, 153, 378, 801, 520, 912, 761, 747, 764, 762, 133, 293, 234, 390, 522, 77, 655, 335, 786, 150, 599, 528, 639, 66, 389, 220, 111, 628, 418, 904, 489, 117, 987, 252, 109, 218, 600, 372, 988, 7, 417, 573, 279, 745, 186, 689, 642, 450, 84, 926, 502, 780, 627, 538, 74, 269, 402, 416, 102, 93, 142, 815, 308, 298, 45, 659, 620, 302, 452, 500, 365, 93, 541, 172, 916, 284, 547, 149, 960, 895, 839, 134, 509, 805, 759, 674, 930, 775, 493, 948, 8, 306, 193, 866, 362, 870, 361, 684, 949, 814, 744, 848, 169, 115, 717, 554, 422, 241, 729, 468, 255, 957, 701, 408, 544, 237, 131, 363, 494, 590, 118, 470, 890, 529, 617, 267, 722, 523, 882, 70, 986, 929, 918, 629, 91, 960, 844, 37, 159, 945, 908, 341, 129, 428, 446, 937, 108, 823, 248, 61, 399, 348, 563, 657, 788, 862, 776, 311, 275, 269, 403, 510, 903, 778, 482, 272, 29, 330, 409, 491, 385, 588, 108, 231, 539, 370, 613, 44, 248, 618, 628, 127, 289, 85, 948, 346, 373, 158, 378, 915, 330, 251, 566}

    {667, 850, 668, 290, 471, 798, 344, 459, 106, 288, 366, 819, 137, 836, 288, 393, 644, 889, 199, 504, 888, 756, 415, 869, 788, 332, 310, 413, 480, 506, 415, 929, 939, 883, 775, 351, 430, 481, 332, 702, 497, 566, 875, 796, 398, 970, 706, 317, 870, 818, 660, 158, 766, 644, 468, 5, 978, 357, 249, 58, 28, 139, 86, 891, 572, 774, 862, 421, 585, 88, 48, 793, 205, 478, 572, 470, 441, 654, 744, 640, 542, 438, 837, 381, 962, 319, 724, 507, 223, 425, 413, 83, 964, 598, 505, 659, 694, 546, 959, 193, 166, 278, 792, 142, 284, 852, 14, 49, 805, 552, 337, 90, 78, 708, 806, 38, 623, 300, 749, 681, 419, 540, 318, 794, 434, 836, 486, 467, 328, 893, 911, 24, 729, 560, 675, 609, 399, 236, 151, 331, 731, 275, 324, 533, 694, 287, 140, 955, 702, 11, 651, 574, 213, 513, 113, 88, 488, 91, 756, 804, 485, 635, 732, 385, 6, 610, 336, 589, 104, 438, 146, 781, 935, 904, 244, 960, 879, 432, 71, 565, 683, 280, 942, 178, 686, 952, 276, 382, 367, 147, 297, 525, 483, 254, 274, 945, 888, 643, 167, 856, 353, 925, 23, 8, 933, 807, 846, 791, 667, 565, 906, 896, 628, 875, 62, 656, 303, 261, 950, 793, 167, 463, 914, 758, 767, 282, 595, 473, 949, 824, 107, 446, 724, 941, 530, 466, 210, 771, 139, 935, 846, 52, 835, 282, 581, 835, 974, 580, 17, 410, 68, 86, 527, 859, 662, 84, 961, 17, 601, 309, 787, 934, 693, 423, 239, 367, 176, 313, 423, 98, 472, 128, 932, 887, 677, 925, 843, 683, 602, 64, 321, 640, 371, 179, 525, 913, 827, 59, 802, 784, 212, 664, 752, 383, 706, 144, 459, 887, 67, 241, 467, 122, 577, 547, 33, 273, 671, 20, 48, 37, 661, 38, 631, 939, 702, 246, 642, 901, 449, 381, 356, 908, 742, 989, 9, 204, 377, 575, 463, 460, 393, 158, 18, 712, 558, 189, 316, 178, 723, 154, 822, 552, 891, 853, 709, 473, 295, 660, 443, 480, 694, 623, 26, 106, 375, 535, 439, 372, 680, 966, 906, 326, 92, 235, 300, 973, 905, 128, 16, 799, 36, 540, 457, 739, 633, 494, 271, 119, 472, 808, 31, 29, 14, 596, 256, 873, 256, 107, 586, 533, 773, 651, 498, 641, 191, 634, 533, 884, 656, 333, 981, 560, 335, 321, 219, 570, 699, 285, 561, 609, 973, 536, 204, 974, 673, 46, 70, 852, 773, 731, 726, 763, 208, 812, 171, 802, 954, 732, 889, 380, 840, 229, 358, 863, 703, 507, 249, 92, 16, 236, 753, 408, 742, 723, 488, 625, 673, 624, 943, 31, 372, 847, 927, 792, 896, 212, 958, 414, 711, 343, 580, 94, 526, 729, 761, 631, 201, 986, 140, 827, 404, 203, 88, 183, 492, 522, 449, 171, 212, 639, 15, 978, 603, 707, 49, 294, 538, 522, 92, 206, 568, 242, 244, 902, 796, 58, 518, 753, 208, 9, 604, 963, 796, 576, 614, 604, 333, 249, 210, 392, 686, 463, 878, 240, 790, 363, 286, 634, 146, 469, 534, 123, 967, 69, 971, 381, 21, 835, 627, 675, 471, 56, 130, 613, 842, 910, 754, 925, 787, 515, 87, 752, 776, 532, 96, 661, 367, 821, 64, 963, 129, 545, 447, 226, 735, 903, 714, 809, 412, 850, 804, 86, 553, 680, 952, 798, 22, 222, 653, 13, 907, 331, 175, 447, 567, 415, 553, 259, 708, 270, 825, 703, 785, 786, 120, 184, 292, 882, 119, 847, 743, 57, 440, 844, 315, 157, 419, 704, 795, 57, 603, 884, 498, 581, 267, 934, 825, 233, 758, 197, 179, 207, 432, 622, 97, 193, 26, 645, 87, 280, 920, 743, 535, 229, 36, 732, 24, 323, 36, 968, 550, 719, 733, 919, 545, 847, 647, 556, 326, 211, 457, 404, 125, 288, 832, 544, 572, 930, 345, 440, 340, 909, 965, 281, 753, 132, 340, 831, 591, 513, 46, 335, 364, 409, 328, 919, 680, 371, 487, 215, 388, 181, 825, 221, 653, 527, 52, 94, 879, 383, 392, 544, 34, 724, 943, 419, 294, 519, 821, 725, 596, 175, 957, 323, 54, 374, 635, 633, 80, 296, 122, 843, 236, 429, 285, 644, 698, 726, 296, 715, 909, 596, 762, 414, 79, 897, 876, 834, 540, 760, 670, 433, 195, 344, 489, 254, 265, 554, 234, 604, 489, 985, 85, 663, 569, 304, 306, 942, 962, 296, 924, 259, 188, 96, 243, 380, 542, 710, 441, 468, 26, 380, 222, 537, 731, 827, 165, 53, 855, 469, 318, 359, 521, 928, 263, 358, 418, 672, 775, 337, 235, 805, 163, 687, 782, 277, 561, 784, 469, 276, 270, 78, 223, 670, 696, 750, 831, 340, 532, 430, 247, 462, 612, 579, 227, 819, 963, 388, 83, 47, 558, 406, 176, 878, 200, 950, 830, 610, 928, 386, 81, 191, 598, 370, 215, 785, 157, 887, 71, 905, 640, 797, 568, 932, 589, 487, 263, 247, 213, 965, 556, 245, 492, 413, 685, 281, 959, 840, 608, 646, 241, 543, 421, 812, 579, 673, 153, 55, 219, 687, 717, 557, 273, 482, 106, 225, 156, 342, 203, 4, 566, 41, 846, 597, 444, 721, 772, 229, 717, 169, 740, 466, 160, 244, 875, 625, 953, 176, 848, 514, 619, 316, 105, 684, 326, 191, 546, 737, 589, 32, 555, 208, 517, 250, 778, 366, 564, 869, 707, 952, 730, 485, 329, 466, 766, 319, 896, 981, 261, 981, 195, 268, 763, 612, 163, 98, 929, 797, 387, 90, 758, 803, 905, 43, 974, 940, 794, 310, 8, 295, 989, 73, 410, 93, 456, 934, 868, 709, 402, 807, 339, 751, 287, 582, 730, 641, 204, 411, 508, 135, 167, 203, 799, 420, 486, 43, 255, 455, 911, 863, 352, 525, 297, 228, 557, 2, 498, 449, 576, 117, 34, 103, 307, 356, 420, 315, 828, 687, 737, 477, 893, 586, 795, 585, 421, 274, 465, 898, 653, 695, 823, 105, 721, 55, 297, 83, 495, 411, 595, 609, 664, 817, 519, 131, 14, 512, 543, 948, 834, 206, 182, 914, 118, 816, 941, 808, 570, 719, 806, 771, 832, 969, 799, 968, 773, 581, 842, 336, 343, 506, 914, 910, 534, 166, 513, 630, 441, 978, 59, 180, 869, 908, 726, 740, 82, 772, 224, 750, 826, 834, 178, 105, 586, 779, 856, 715, 642, 587, 377, 964, 300, 42, 255, 299, 506, 53, 965, 950, 281, 332, 459, 432, 37, 744, 138, 906, 392, 610, 909, 718, 339, 181, 534, 1, 286, 591, 159, 889, 662, 222, 625, 971, 77, 405, 631, 580, 826, 583, 313, 81, 822, 765, 526, 528, 812, 40, 94, 891, 397, 325, 876, 58, 575, 955, 390, 735, 50, 968, 439, 752, 526, 27, 397, 117, 223, 396, 871, 429, 774, 266, 894, 654, 880, 605, 912, 897, 291, 888, 879, 736, 989, 356, 11, 623, 650, 47, 39, 34, 474, 263, 616, 250, 542, 321, 232, 733, 260, 822, 763, 614, 343, 188, 350, 38, 583, 972, 358, 462, 266, 672, 548, 954, 42, 424, 126, 754, 790, 588, 375, 691, 490, 877, 527, 40, 306, 760, 278, 299, 161, 385, 894, 793, 703, 759, 690, 477, 118, 874, 521, 517, 728, 40, 136, 29, 954, 664, 919, 265, 414, 45, 622, 450, 621, 543, 41, 792, 226, 442, 46, 366, 431, 743, 655, 829, 518, 579, 474, 512, 935, 433, 643, 515, 675, 221, 76, 5, 749, 164, 772, 157, 936, 64, 455, 588, 349, 159, 19, 438, 197, 553, 645, 391, 477, 189, 611, 842, 893, 350, 217, 843, 619, 712, 656, 278, 170, 667, 243, 892, 256, 141, 778, 313, 10, 829, 147, 21, 351, 876, 733, 138, 895, 770, 584, 211, 872, 973, 877, 826, 361, 844, 174, 299, 144, 582, 418, 899, 824, 508, 817, 103, 292, 800, 556, 146, 630, 277, 712, 15, 154, 394, 286, 662, 679, 622, 668, 936, 985, 148, 128, 736, 226, 200, 434, 312, 845, 316, 555, 276, 486, 502, 508, 500, 273, 830, 774, 482, 789, 214, 101, 795, 350, 621, 130, 202, 568, 483, 318, 48, 911, 6, 292, 161, 69, 90, 671, 76, 439, 446, 404, 671, 698, 788, 319, 97, 156, 74, 661, 794, 762, 821, 605, 816, 39, 651, 384, 435, 388, 598, 740, 811, 953, 613, 707, 517, 918, 429, 550, 207, 584, 646, 910, 943, 215, 137, 104, 916, 253, 254, 576, 475, 766, 611, 154, 69, 942, 431, 638, 679, 672, 398, 558, 95, 395, 130, 921, 706, 22, 126, 240, 20, 471, 132, 142, 437, 472, 141, 492, 560, 594, 400, 813, 266, 485, 892, 434, 138, 12, 136, 310, 247, 95, 467, 460, 209, 945, 277, 852, 621, 877, 424, 933, 940, 985, 611, 135, 302, 112, 17, 152, 334, 42, 20, 756, 771, 685, 548, 410, 239, 521, 545, 473, 719, 214, 561, 524, 686, 339, 334, 386, 488, 375, 325, 76, 648, 983}

    Returns: {1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0 }

  95. 990

    {701, 318, 499, 941, 555, 631, 112, 398, 973, 728, 767, 613, 674, 736, 217, 687, 768, 334, 383, 236, 552, 254, 151, 676, 222, 245, 476, 895, 89, 786, 417, 660, 440, 811, 298, 500, 102, 557, 593, 435, 343, 484, 981, 952, 898, 508, 896, 291, 794, 222, 355, 92, 178, 643, 617, 972, 140, 0, 858, 516, 454, 624, 42, 796, 375, 259, 755, 845, 840, 298, 168, 709, 434, 150, 443, 326, 232, 393, 357, 202, 319, 690, 593, 3, 121, 181, 857, 970, 555, 275, 379, 172, 446, 123, 181, 618, 227, 975, 486, 896, 983, 364, 860, 229, 388, 969, 886, 645, 66, 491, 374, 310, 720, 868, 98, 848, 362, 218, 665, 347, 144, 41, 233, 939, 938, 892, 300, 738, 197, 265, 791, 802, 857, 876, 285, 267, 384, 934, 273, 103, 175, 839, 89, 425, 85, 881, 790, 585, 226, 119, 160, 306, 295, 749, 794, 444, 40, 254, 193, 233, 846, 790, 301, 166, 555, 954, 635, 415, 160, 677, 885, 865, 822, 364, 260, 249, 924, 414, 2, 796, 136, 216, 131, 970, 123, 508, 562, 937, 517, 908, 960, 580, 611, 612, 818, 584, 403, 477, 787, 566, 855, 384, 892, 5, 915, 219, 799, 131, 387, 652, 765, 765, 794, 873, 167, 460, 369, 249, 163, 186, 161, 827, 58, 964, 237, 770, 841, 462, 433, 134, 438, 293, 599, 547, 538, 694, 477, 674, 103, 467, 624, 893, 215, 741, 161, 91, 817, 432, 938, 76, 437, 275, 897, 952, 866, 297, 43, 170, 335, 315, 258, 276, 779, 920, 130, 71, 469, 179, 795, 309, 517, 392, 46, 114, 984, 280, 616, 500, 989, 472, 495, 298, 228, 578, 425, 146, 179, 857, 837, 312, 561, 517, 408, 906, 120, 547, 988, 505, 964, 897, 745, 164, 70, 603, 435, 608, 263, 841, 376, 90, 605, 953, 529, 260, 646, 246, 501, 348, 91, 807, 538, 423, 260, 737, 448, 479, 76, 385, 820, 893, 402, 240, 230, 265, 474, 507, 452, 766, 101, 30, 732, 326, 358, 732, 339, 297, 40, 632, 457, 406, 786, 688, 916, 169, 251, 0, 37, 473, 655, 975, 959, 837, 193, 381, 370, 340, 221, 331, 751, 631, 284, 402, 154, 321, 530, 714, 842, 766, 736, 980, 214, 904, 380, 154, 47, 770, 729, 358, 919, 210, 671, 354, 766, 328, 32, 677, 644, 323, 742, 335, 432, 882, 80, 273, 115, 987, 307, 329, 590, 463, 149, 733, 658, 863, 210, 965, 569, 216, 286, 373, 140, 761, 436, 5, 311, 865, 723, 533, 942, 902, 935, 613, 816, 213, 348, 973, 903, 533, 563, 372, 495, 583, 293, 784, 225, 119, 318, 217, 893, 825, 381, 446, 395, 786, 964, 839, 848, 156, 693, 372, 295, 729, 733, 82, 493, 646, 529, 472, 880, 734, 778, 626, 469, 395, 455, 929, 671, 339, 48, 967, 944, 479, 921, 513, 551, 880, 836, 124, 698, 379, 387, 768, 978, 643, 836, 904, 243, 279, 959, 83, 544, 650, 717, 449, 8, 237, 692, 319, 866, 505, 158, 488, 145, 475, 873, 583, 214, 809, 817, 900, 543, 136, 466, 332, 123, 352, 31, 236, 396, 899, 240, 523, 502, 594, 901, 98, 903, 596, 863, 333, 557, 641, 936, 27, 569, 432, 382, 197, 185, 187, 865, 188, 626, 550, 531, 895, 846, 657, 455, 706, 81, 195, 279, 526, 933, 233, 658, 423, 52, 985, 586, 374, 283, 560, 916, 404, 567, 713, 649, 876, 352, 51, 80, 608, 363, 60, 756, 237, 164, 637, 976, 688, 228, 843, 584, 81, 814, 185, 906, 653, 721, 259, 698, 320, 813, 903, 320, 588, 566, 913, 699, 961, 977, 897, 780, 486, 306, 648, 821, 759, 506, 877, 704, 778, 414, 6, 859, 562, 885, 749, 92, 921, 188, 984, 737, 391, 118, 486, 531, 781, 554, 898, 318, 271, 630, 901, 104, 149, 671, 802, 832, 490, 71, 900, 368, 827, 747, 466, 272, 78, 374, 95, 544, 622, 834, 191, 352, 221, 792, 229, 419, 501, 365, 252, 142, 218, 405, 262, 266, 333, 263, 7, 417, 227, 394, 848, 95, 309, 820, 718, 124, 332, 27, 435, 763, 413, 981, 540, 436, 896, 508, 687, 257, 795, 747, 400, 891, 513, 3, 702, 693, 99, 245, 909, 498, 618, 491, 7, 118, 793, 606, 406, 829, 831, 19, 649, 944, 455, 728, 35, 752, 364, 516, 348, 335, 841, 627, 153, 866, 567, 158, 659, 482, 365, 503, 430, 935, 5, 908, 780, 744, 359, 843, 720, 662, 36, 78, 169, 57, 797, 916, 965, 596, 198, 450, 410, 818, 872, 378, 105, 943, 83, 183, 898, 704, 93, 231, 907, 734, 647, 962, 890, 190, 304, 549, 651, 256, 811, 77, 922, 401, 276, 151, 843, 705, 723, 497, 689, 165, 858, 462, 764, 821, 326, 306, 195, 372, 133, 92, 406, 741, 539, 538, 812, 359, 380, 851, 460, 723, 535, 407, 917, 564, 586, 969, 395, 636, 584, 422, 205, 55, 708, 221, 662, 812, 777, 571, 497, 759, 62, 381, 409, 315, 909, 742, 547, 821, 60, 641, 789, 323, 636, 894, 764, 407, 620, 887, 422, 450, 151, 464, 570, 57, 267, 242, 292, 305, 146, 202, 849, 431, 175, 6, 666, 171, 543, 452, 99, 956, 675, 636, 47, 951, 613, 601, 792, 618, 449, 640, 136, 99, 537, 771, 195, 127, 951, 605, 899, 548, 932, 520, 940, 827, 291, 190, 404, 533, 242, 278, 58, 231, 105, 291, 650, 226, 720, 230, 735, 144, 562, 885, 594, 689, 419, 825, 475, 312, 127, 330, 557, 855, 683, 6, 4, 631, 222, 166, 425, 444, 198, 659, 205, 347, 876, 728, 970, 705, 980, 266, 543, 141, 450, 656, 42, 256, 362, 150, 548, 506, 156, 583, 313, 412, 801, 109, 771, 366, 629, 400, 130, 414, 427, 142, 702, 73, 254, 781, 396, 872, 816, 133, 174, 939, 62, 146, 272, 727, 540, 255, 102, 902, 761, 440, 78, 12, 64, 686, 755, 872, 725, 767, 91, 862, 27, 299, 328, 797, 2, 548, 801, 719, 30, 905, 299, 553, 117, 651, 570, 51, 630, 72, 976, 454, 663, 29, 248, 918, 134, 727, 746, 520, 691, 101, 939, 639, 235, 658, 385, 568, 796, 37, 544, 152, 119, 597, 730, 121, 692, 24, 770, 139, 70, 194, 287, 798, 528, 278, 424, 36, 599, 749, 80, 216, 55, 117, 666, 120, 924, 319, 772, 247, 678, 82, 295, 960, 311, 113, 818, 539, 116, 347, 386, 307, 608, 16, 380, 532, 218, 829, 837, 436, 4, 97, 169, 537, 581, 206, 494, 315, 379, 200, 523, 70, 19, 513, 249, 139, 337, 921, 411, 317, 333, 301, 908, 170, 225, 174, 12, 407, 705, 363, 596, 312, 577, 823, 484, 536, 646, 343, 283, 244, 270, 635, 667, 622, 676, 824, 706, 886, 509, 310, 11, 590, 356, 881, 700, 523, 626, 109, 629, 370, 942, 721, 535, 313, 204, 42, 714, 3, 275, 496, 614, 166, 412, 296, 66, 817, 520, 568, 186, 59, 464, 61, 598, 704, 445, 899, 342, 526, 853, 213, 571, 621, 144, 12, 239, 64, 829, 909, 839, 961, 75, 495, 97, 488, 496, 433, 77, 393, 257, 711, 680, 804, 535, 528, 842, 697, 282, 961, 862, 214, 387, 460, 500, 634, 738, 153, 213, 342, 439, 878, 973, 578, 659, 248, 713, 747, 634, 118, 207, 341, 653, 966, 35, 918, 836, 822, 877, 905, 273, 824, 824, 955, 779, 763, 599, 130, 887, 741, 457, 954, 949, 337, 484, 59, 886, 75, 359, 179, 424, 979, 635, 238, 449, 820, 238, 167, 464, 615, 488, 774, 984, 706, 422, 781, 301, 822, 703, 197, 801, 967, 967, 744, 153, 140, 683, 528, 76, 640, 568, 567, 891, 53, 745, 758, 630, 666, 894, 686, 120, 977, 102, 47, 627, 570, 887, 603, 191, 928, 353, 258, 622, 937, 925, 778, 366, 405, 132, 370, 651, 564, 170, 82, 404, 328, 53, 679, 297, 581, 10, 678, 366, 262, 307, 200, 911, 768, 504, 487, 736, 604, 378, 545, 810, 665, 510, 604, 612, 983, 606, 577, 185, 109, 678, 929, 744, 649, 250, 746, 137, 191, 926, 188, 73, 732, 585, 161, 73, 905, 650, 265, 410, 968, 733, 74, 895, 645, 628, 353, 534, 601, 35, 674, 580, 810, 401, 644, 181, 17, 526, 383, 67, 871, 164, 891, 296, 114, 789, 689, 813, 943, 847, 691, 581, 789, 815, 341, 935, 680, 397, 81, 609, 813, 962, 641, 385, 862, 790, 501, 252, 780, 625, 923, 534, 600, 426, 593, 121, 356, 200, 709, 698, 977, 94, 883, 799, 409, 516, 600, 339, 424, 716, 86, 174, 802, 737, 67, 416, 415, 918, 920, 114, 966, 881, 276, 150, 571, 628, 700, 46, 816, 585, 247, 760, 643, 46, 132, 668, 640, 609, 828, 772, 403, 742, 229, 710, 877, 248, 402, 873, 342, 772, 603, 105, 368}

    {587, 26, 512, 220, 809, 552, 403, 692, 828, 479, 956, 421, 819, 740, 620, 758, 178, 740, 324, 224, 279, 521, 162, 43, 493, 416, 627, 945, 22, 476, 334, 38, 31, 25, 129, 253, 100, 619, 949, 602, 725, 386, 945, 345, 874, 879, 456, 128, 696, 982, 186, 234, 805, 391, 451, 290, 937, 541, 85, 710, 305, 145, 117, 883, 810, 173, 239, 189, 745, 131, 160, 815, 924, 672, 111, 330, 586, 625, 1, 473, 946, 812, 825, 360, 349, 206, 0, 79, 569, 353, 71, 734, 162, 943, 854, 683, 760, 192, 344, 522, 54, 803, 838, 556, 518, 923, 624, 489, 87, 87, 31, 561, 931, 378, 204, 20, 439, 253, 525, 927, 202, 776, 575, 679, 373, 699, 337, 29, 209, 667, 26, 410, 576, 669, 147, 657, 478, 767, 769, 268, 250, 694, 163, 350, 556, 224, 519, 302, 936, 111, 355, 215, 647, 268, 244, 223, 931, 985, 735, 682, 373, 50, 61, 920, 413, 806, 96, 849, 110, 867, 232, 259, 344, 861, 808, 182, 853, 804, 44, 515, 110, 220, 860, 907, 357, 236, 28, 48, 748, 549, 282, 524, 811, 726, 940, 525, 447, 322, 686, 25, 930, 482, 8, 721, 757, 856, 883, 838, 21, 677, 949, 623, 946, 982, 159, 84, 629, 382, 582, 168, 712, 22, 955, 769, 572, 670, 361, 632, 684, 507, 441, 917, 714, 616, 88, 327, 476, 762, 345, 466, 620, 950, 223, 863, 28, 753, 303, 785, 830, 800, 423, 731, 256, 277, 305, 189, 980, 415, 910, 108, 204, 382, 914, 514, 852, 888, 194, 182, 270, 587, 530, 67, 54, 757, 340, 910, 103, 69, 51, 288, 504, 871, 45, 157, 503, 928, 285, 871, 251, 138, 296, 592, 942, 911, 803, 94, 25, 922, 511, 16, 930, 272, 338, 807, 726, 137, 592, 321, 257, 30, 598, 262, 23, 638, 230, 362, 261, 616, 773, 393, 369, 512, 447, 115, 491, 597, 133, 41, 514, 468, 34, 32, 300, 788, 680, 960, 441, 1, 591, 879, 607, 177, 287, 107, 235, 855, 482, 60, 554, 610, 551, 518, 145, 986, 457, 576, 514, 227, 34, 545, 668, 504, 392, 988, 93, 247, 203, 519, 743, 621, 722, 868, 189, 726, 159, 619, 90, 264, 281, 427, 59, 673, 74, 934, 290, 324, 135, 235, 763, 563, 458, 468, 139, 553, 653, 743, 39, 108, 499, 266, 299, 665, 113, 246, 546, 100, 199, 69, 300, 914, 445, 20, 592, 141, 925, 922, 203, 208, 377, 755, 220, 832, 113, 321, 420, 116, 779, 925, 442, 661, 478, 453, 1, 880, 268, 730, 55, 426, 345, 54, 44, 503, 209, 177, 351, 978, 37, 884, 490, 389, 22, 878, 270, 269, 556, 19, 754, 554, 684, 875, 224, 511, 383, 208, 192, 147, 68, 574, 72, 196, 589, 159, 44, 765, 610, 595, 509, 452, 606, 928, 986, 541, 443, 652, 358, 122, 502, 932, 531, 735, 211, 959, 695, 429, 933, 152, 135, 187, 805, 212, 835, 715, 9, 157, 783, 172, 458, 330, 322, 369, 453, 684, 685, 565, 219, 467, 14, 612, 15, 18, 933, 399, 115, 148, 864, 634, 154, 463, 963, 148, 724, 225, 409, 756, 869, 536, 823, 356, 470, 205, 512, 711, 341, 753, 361, 11, 590, 912, 987, 143, 481, 902, 748, 595, 155, 804, 913, 180, 336, 773, 890, 948, 431, 28, 753, 639, 285, 701, 68, 927, 420, 126, 284, 302, 217, 840, 669, 783, 875, 617, 122, 884, 428, 539, 207, 926, 906, 800, 774, 320, 971, 129, 989, 184, 913, 507, 420, 718, 989, 8, 607, 116, 138, 492, 797, 106, 968, 472, 10, 84, 681, 695, 771, 560, 394, 228, 983, 566, 408, 281, 443, 367, 124, 981, 945, 371, 688, 461, 972, 29, 502, 695, 445, 39, 396, 481, 462, 756, 274, 879, 465, 892, 411, 578, 88, 637, 13, 648, 439, 814, 966, 762, 974, 485, 968, 661, 963, 572, 394, 428, 889, 774, 788, 845, 212, 485, 334, 751, 718, 511, 111, 17, 681, 809, 972, 951, 316, 128, 725, 171, 241, 849, 143, 16, 23, 338, 911, 854, 26, 600, 49, 782, 919, 107, 870, 976, 392, 147, 874, 715, 331, 143, 854, 389, 546, 579, 712, 361, 175, 870, 844, 155, 418, 722, 559, 32, 10, 826, 840, 198, 788, 750, 633, 56, 819, 408, 888, 7, 957, 826, 412, 496, 397, 367, 708, 607, 269, 798, 551, 474, 20, 190, 709, 699, 572, 844, 982, 751, 844, 52, 701, 833, 664, 219, 963, 730, 777, 274, 956, 808, 292, 429, 654, 978, 777, 24, 889, 628, 427, 104, 696, 910, 293, 681, 473, 475, 498, 79, 377, 50, 675, 4, 390, 454, 106, 442, 831, 988, 775, 173, 717, 183, 465, 39, 662, 519, 375, 178, 401, 936, 940, 515, 487, 864, 690, 468, 38, 350, 985, 823, 711, 950, 351, 875, 955, 368, 447, 323, 480, 867, 850, 540, 950, 798, 494, 623, 617, 157, 239, 480, 549, 524, 847, 682, 14, 874, 746, 560, 72, 325, 163, 532, 559, 176, 376, 952, 14, 845, 108, 757, 271, 351, 437, 563, 471, 95, 149, 141, 471, 558, 324, 904, 632, 93, 522, 344, 101, 33, 760, 826, 122, 398, 100, 106, 842, 919, 255, 274, 288, 929, 88, 656, 431, 670, 277, 642, 428, 271, 793, 90, 614, 246, 485, 819, 177, 253, 264, 731, 98, 673, 453, 574, 953, 953, 317, 930, 283, 856, 96, 987, 525, 158, 289, 478, 509, 975, 86, 589, 390, 712, 954, 685, 604, 34, 33, 657, 155, 416, 264, 852, 288, 776, 53, 615, 775, 931, 74, 800, 199, 979, 152, 399, 325, 294, 832, 610, 172, 793, 280, 527, 830, 365, 707, 467, 317, 398, 104, 717, 633, 251, 682, 9, 707, 456, 861, 663, 752, 429, 206, 579, 614, 316, 814, 527, 971, 870, 168, 377, 927, 127, 286, 461, 642, 527, 18, 23, 336, 183, 591, 343, 611, 838, 588, 724, 255, 558, 791, 498, 234, 833, 588, 62, 661, 303, 38, 729, 386, 207, 9, 192, 267, 463, 724, 487, 226, 196, 223, 673, 52, 481, 417, 847, 441, 261, 515, 280, 173, 958, 750, 201, 565, 243, 304, 834, 196, 477, 241, 471, 96, 277, 492, 941, 489, 201, 461, 40, 354, 135, 739, 719, 625, 670, 363, 782, 211, 754, 703, 308, 522, 346, 210, 240, 132, 573, 350, 907, 397, 327, 245, 638, 615, 561, 550, 171, 638, 290, 850, 57, 853, 459, 702, 958, 690, 762, 49, 869, 521, 329, 405, 469, 125, 958, 598, 697, 458, 388, 309, 795, 470, 986, 582, 459, 565, 354, 203, 86, 244, 530, 633, 947, 645, 914, 138, 573, 750, 474, 597, 287, 713, 286, 803, 663, 589, 815, 433, 644, 258, 748, 642, 176, 605, 389, 437, 962, 440, 201, 281, 15, 68, 537, 656, 442, 209, 261, 355, 434, 451, 917, 465, 459, 672, 215, 743, 602, 675, 835, 575, 579, 85, 782, 878, 193, 411, 806, 232, 648, 325, 13, 278, 399, 483, 421, 974, 418, 49, 66, 269, 322, 859, 564, 740, 316, 77, 375, 332, 846, 194, 868, 764, 915, 65, 357, 558, 807, 79, 314, 430, 69, 784, 346, 231, 294, 63, 252, 421, 647, 888, 184, 676, 87, 199, 806, 882, 758, 775, 722, 311, 329, 731, 691, 314, 577, 882, 932, 83, 125, 639, 187, 934, 861, 360, 41, 859, 430, 391, 773, 594, 799, 125, 553, 687, 621, 371, 50, 15, 376, 499, 448, 84, 710, 21, 542, 912, 112, 785, 685, 784, 580, 263, 791, 419, 716, 434, 559, 787, 327, 241, 180, 534, 573, 45, 282, 234, 938, 331, 697, 45, 346, 182, 384, 969, 542, 703, 752, 165, 850, 719, 546, 506, 587, 294, 388, 524, 926, 759, 965, 336, 852, 947, 314, 494, 212, 21, 591, 56, 289, 864, 18, 654, 438, 941, 889, 835, 176, 63, 739, 43, 667, 13, 483, 915, 510, 165, 574, 243, 833, 58, 126, 860, 89, 24, 310, 611, 660, 128, 529, 668, 64, 444, 552, 308, 979, 456, 302, 830, 727, 805, 413, 11, 550, 856, 792, 2, 142, 208, 619, 483, 858, 655, 349, 923, 126, 582, 652, 971, 390, 957, 107, 776, 493, 313, 707, 901, 672, 308, 944, 831, 532, 148, 890, 426, 693, 700, 679, 489, 536, 664, 716, 623, 957, 180, 974, 576, 292, 541, 211, 490, 948, 787, 664, 946, 867, 250, 761, 137, 715, 769, 828, 669, 162, 134, 694, 808, 595, 470, 783, 448, 110, 33, 602, 884, 696, 900, 112, 708, 738, 17, 609, 654, 289, 545, 61, 542, 601, 367, 94, 303, 156, 834, 438, 869, 400, 912, 129, 739, 575, 63, 97, 510, 505, 947, 238, 518, 480, 167, 754, 65, 521, 948, 660, 418, 56, 851, 497, 451, 785, 48, 492, 655, 349, 36, 340, 184, 894, 360, 446, 284, 371, 65, 242, 304, 851, 75, 338, 637}

    Returns: {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0 }

  96. 1000

    {267, 785, 909, 547, 914, 950, 358, 817, 204, 122, 65, 551, 370, 885, 574, 695, 473, 431, 675, 444, 554, 884, 599, 597, 193, 477, 999, 258, 848, 475, 435, 69, 306, 277, 612, 824, 160, 134, 839, 102, 856, 100, 737, 846, 975, 464, 539, 328, 754, 765, 698, 232, 720, 757, 843, 330, 787, 90, 300, 210, 724, 677, 511, 186, 866, 10, 388, 712, 118, 100, 136, 567, 812, 147, 572, 299, 463, 155, 350, 774, 689, 655, 630, 842, 685, 577, 569, 190, 946, 403, 623, 810, 806, 829, 634, 201, 70, 789, 990, 647, 317, 401, 652, 625, 880, 991, 419, 10, 523, 930, 467, 401, 969, 285, 422, 414, 966, 626, 869, 478, 146, 257, 308, 54, 991, 694, 315, 581, 723, 487, 489, 148, 849, 902, 153, 414, 215, 436, 902, 656, 173, 758, 444, 815, 127, 318, 280, 604, 164, 180, 903, 96, 891, 25, 538, 22, 346, 691, 570, 554, 662, 313, 265, 503, 157, 722, 168, 657, 552, 489, 799, 477, 563, 152, 764, 422, 510, 0, 272, 669, 499, 330, 441, 964, 771, 164, 992, 198, 451, 161, 367, 935, 20, 791, 765, 230, 551, 560, 927, 784, 795, 13, 171, 797, 943, 990, 372, 177, 224, 15, 833, 262, 133, 913, 452, 827, 431, 563, 755, 649, 851, 59, 663, 209, 670, 535, 312, 814, 218, 971, 326, 476, 143, 693, 957, 355, 183, 2, 418, 124, 73, 831, 780, 650, 731, 566, 766, 736, 160, 202, 160, 222, 389, 867, 737, 370, 344, 779, 154, 308, 938, 19, 751, 477, 311, 284, 790, 78, 723, 3, 878, 206, 619, 498, 324, 253, 664, 772, 819, 851, 591, 357, 96, 510, 946, 209, 173, 909, 739, 846, 697, 597, 520, 349, 456, 391, 903, 821, 729, 442, 286, 231, 36, 605, 894, 534, 357, 504, 242, 950, 825, 148, 437, 264, 562, 843, 437, 800, 98, 0, 861, 637, 109, 167, 802, 272, 724, 227, 442, 142, 927, 706, 574, 819, 866, 37, 825, 999, 251, 336, 534, 203, 511, 137, 702, 405, 362, 750, 471, 280, 714, 679, 906, 411, 622, 63, 225, 272, 773, 3, 17, 972, 617, 502, 161, 783, 376, 509, 90, 33, 337, 948, 68, 795, 242, 241, 725, 469, 83, 182, 504, 927, 711, 157, 91, 243, 784, 636, 81, 556, 21, 965, 415, 10, 263, 883, 358, 601, 952, 562, 686, 244, 526, 384, 275, 577, 911, 26, 220, 314, 324, 575, 154, 513, 354, 492, 28, 260, 43, 125, 566, 664, 898, 906, 712, 682, 186, 561, 718, 14, 502, 754, 688, 75, 631, 413, 785, 211, 969, 200, 726, 408, 81, 357, 220, 822, 963, 143, 637, 413, 275, 781, 174, 153, 679, 643, 756, 12, 434, 703, 870, 215, 568, 765, 519, 52, 32, 618, 842, 298, 457, 171, 474, 171, 453, 913, 986, 454, 323, 635, 847, 897, 704, 539, 849, 986, 401, 819, 705, 41, 559, 958, 833, 314, 100, 476, 431, 647, 114, 464, 910, 18, 640, 488, 727, 143, 867, 922, 75, 742, 833, 742, 513, 238, 85, 685, 460, 501, 665, 209, 45, 977, 335, 829, 297, 766, 699, 196, 488, 695, 866, 85, 535, 488, 570, 229, 701, 37, 506, 309, 887, 318, 287, 68, 498, 940, 743, 156, 117, 953, 969, 350, 5, 240, 618, 441, 740, 815, 591, 127, 296, 444, 589, 177, 421, 800, 144, 217, 235, 675, 343, 846, 615, 78, 934, 237, 343, 964, 531, 876, 759, 326, 367, 217, 315, 258, 845, 891, 656, 751, 132, 466, 731, 874, 859, 233, 38, 583, 614, 118, 601, 212, 464, 69, 170, 17, 640, 403, 356, 98, 710, 419, 339, 791, 497, 786, 402, 501, 507, 32, 397, 973, 355, 874, 971, 764, 451, 142, 129, 754, 62, 997, 775, 923, 467, 749, 178, 417, 41, 15, 776, 198, 792, 760, 951, 391, 527, 797, 268, 212, 335, 387, 950, 630, 20, 615, 225, 859, 924, 598, 396, 507, 349, 151, 425, 185, 872, 460, 735, 736, 593, 697, 443, 246, 747, 293, 20, 918, 405, 805, 941, 176, 606, 496, 76, 96, 681, 233, 90, 340, 789, 40, 720, 938, 45, 286, 923, 59, 286, 438, 229, 555, 769, 156, 872, 372, 443, 395, 65, 403, 721, 7, 227, 236, 102, 99, 3, 490, 933, 326, 714, 89, 70, 172, 966, 542, 166, 650, 480, 862, 871, 641, 976, 371, 628, 453, 552, 389, 492, 155, 316, 576, 40, 107, 449, 368, 826, 164, 605, 638, 168, 694, 381, 820, 266, 382, 129, 344, 228, 616, 584, 762, 336, 541, 652, 634, 706, 37, 856, 232, 503, 282, 563, 564, 406, 695, 662, 498, 1, 880, 331, 905, 674, 761, 383, 427, 494, 16, 826, 522, 147, 112, 630, 839, 261, 256, 50, 995, 202, 55, 726, 337, 598, 58, 17, 77, 622, 924, 814, 513, 830, 68, 834, 348, 818, 599, 543, 484, 734, 322, 558, 141, 24, 975, 408, 840, 331, 892, 624, 152, 679, 399, 510, 282, 452, 458, 450, 537, 351, 814, 282, 635, 387, 314, 546, 638, 459, 436, 961, 481, 8, 867, 305, 722, 459, 127, 170, 637, 808, 516, 395, 527, 300, 508, 152, 86, 53, 339, 241, 676, 204, 699, 94, 131, 415, 322, 5, 686, 951, 18, 392, 975, 538, 579, 197, 835, 951, 556, 89, 839, 856, 834, 95, 663, 124, 816, 597, 376, 534, 727, 36, 572, 865, 967, 219, 130, 333, 523, 265, 558, 117, 91, 315, 175, 732, 271, 334, 903, 908, 584, 801, 473, 144, 896, 217, 575, 135, 603, 102, 655, 480, 419, 309, 466, 642, 823, 156, 154, 180, 776, 658, 428, 130, 943, 658, 389, 900, 928, 625, 228, 750, 27, 841, 590, 806, 862, 226, 258, 487, 635, 961, 734, 6, 553, 375, 669, 323, 478, 151, 769, 886, 984, 219, 365, 999, 806, 234, 957, 731, 947, 850, 698, 128, 631, 22, 235, 313, 601, 906, 568, 810, 199, 555, 884, 91, 912, 133, 615, 88, 362, 953, 140, 985, 356, 811, 432, 506, 380, 871, 342, 870, 487, 25, 292, 56, 651, 808, 976, 270, 881, 983, 685, 750, 837, 808, 735, 899, 993, 267, 562, 61, 909, 301, 817, 996, 793, 13, 494, 651, 334, 516, 366, 560, 820, 582, 359, 573, 6, 122, 325, 825, 946, 131, 625, 381, 304, 467, 868, 972, 553, 571, 492, 489, 449, 991, 712, 859, 474, 176, 297, 649, 881, 310, 899, 167, 113, 42, 959, 850, 390, 797, 507, 905, 734, 553, 187, 509, 959, 417, 887, 219, 402, 387, 13, 756, 556, 352, 544, 22, 458, 737, 114, 285, 505, 368, 532, 898, 803, 153, 144, 774, 398, 140, 212, 484, 372, 451, 997, 378, 169, 555, 987, 46, 461, 665, 557, 829, 59, 75, 432, 239, 619, 621, 916, 298, 417, 428, 264, 66, 450, 161, 511, 45, 279, 237, 371, 584, 106, 890, 31, 293, 587, 699, 253, 868, 590, 170, 390, 675, 478, 472, 873, 645, 650, 873, 738, 15, 910, 43, 344, 831, 923, 195, 423, 432, 617, 407, 406, 400, 425, 840, 233, 593, 508, 169, 214, 166, 414, 747, 868, 261, 940, 422, 698, 234, 237, 197, 648, 581, 26, 862, 817, 848, 98, 380, 614, 971, 670, 239, 470, 116, 256, 157, 811, 595, 780, 762, 733, 959, 380, 572, 195, 224, 205, 470, 309, 704, 933, 591, 318, 610, 629, 751, 306, 544, 869, 672, 117, 919, 704, 636, 369, 483, 223, 545, 980, 349, 875, 517, 303, 450, 593, 767, 316, 114, 398, 268, 299, 312, 727, 887, 954, 616, 341, 253, 890, 11, 472, 261, 48, 732, 6, 838, 21, 722, 537, 706, 760, 48, 263, 83, 912, 523, 871, 54, 537, 564, 792, 631, 356, 956, 483, 815, 134, 384, 824, 767, 366, 289, 530, 87, 362, 577, 497, 198, 480, 333, 118, 996, 663, 638, 740, 914, 691, 375, 242, 360, 94, 284, 582, 94, 275, 786, 265, 696, 851, 234, 688, 222, 719, 361, 393, 65, 61, 441, 962, 47, 167, 280, 29, 55, 368, 298, 16, 497, 831, 925, 95, 953, 159, 719, 38, 580, 146, 827, 531, 218, 918, 264, 575, 721, 763, 200, 409, 199, 624, 549, 985, 453, 354, 28, 812, 56, 379, 756, 111, 891, 519, 16, 599, 390, 886, 747, 27, 519, 73, 771, 870, 53, 128, 539, 285, 925, 410, 710, 665, 634, 656, 567, 58, 131, 112, 139, 932, 691, 777, 63, 504, 337, 317, 471, 176, 800, 200, 486, 767, 651, 812, 937, 173, 506, 543, 116, 718, 522, 623, 227, 180, 52, 182, 783, 936, 452, 204, 700, 5, 0, 576, 541, 442, 148, 532, 476, 657, 899, 965, 484, 721, 687, 203, 395, 606, 769, 848, 343, 35, 426, 766, 605, 502, 301, 238, 186, 579, 406, 673, 508, 103, 448, 303, 457, 705, 881, 501, 618, 705, 196, 460, 392, 972, 218, 655, 297, 989, 182, 664, 109, 354, 545, 339, 654, 973, 133, 256, 667, 342, 834, 206, 689, 641}

    {911, 416, 327, 415, 644, 342, 643, 358, 243, 948, 316, 919, 468, 482, 904, 528, 491, 437, 746, 244, 920, 612, 44, 580, 101, 978, 126, 76, 602, 659, 564, 525, 145, 771, 720, 493, 374, 347, 303, 517, 573, 937, 801, 304, 976, 568, 533, 988, 676, 44, 792, 725, 271, 886, 409, 266, 874, 786, 845, 294, 643, 61, 842, 700, 503, 4, 957, 639, 979, 394, 616, 377, 931, 968, 447, 172, 394, 107, 816, 87, 9, 93, 51, 671, 247, 359, 668, 306, 115, 752, 246, 281, 610, 579, 787, 459, 660, 823, 805, 214, 954, 254, 115, 955, 165, 236, 250, 992, 120, 269, 80, 60, 273, 421, 983, 908, 440, 97, 190, 934, 836, 73, 702, 346, 97, 865, 28, 418, 29, 364, 9, 295, 788, 174, 805, 269, 110, 929, 416, 832, 252, 516, 495, 789, 370, 479, 984, 798, 661, 39, 990, 794, 123, 223, 435, 644, 462, 892, 915, 828, 752, 191, 388, 33, 192, 18, 481, 310, 363, 795, 373, 189, 602, 49, 895, 559, 536, 629, 620, 162, 288, 373, 607, 512, 595, 436, 374, 361, 72, 231, 559, 207, 582, 542, 226, 188, 773, 341, 172, 690, 900, 378, 690, 799, 941, 917, 604, 230, 463, 914, 149, 632, 780, 549, 678, 51, 454, 844, 554, 546, 604, 366, 529, 627, 907, 418, 673, 683, 447, 486, 893, 968, 832, 525, 889, 257, 708, 95, 54, 853, 701, 259, 588, 609, 550, 211, 183, 642, 4, 935, 206, 895, 861, 940, 586, 876, 122, 116, 243, 80, 404, 619, 641, 768, 726, 341, 684, 926, 835, 121, 784, 311, 645, 688, 479, 158, 794, 189, 30, 420, 494, 381, 937, 824, 292, 838, 782, 187, 778, 168, 412, 646, 203, 319, 716, 66, 191, 560, 439, 779, 746, 884, 139, 628, 69, 941, 586, 213, 877, 917, 109, 987, 897, 952, 202, 709, 632, 128, 857, 430, 34, 55, 667, 26, 123, 364, 974, 853, 895, 445, 245, 684, 132, 307, 291, 710, 743, 248, 21, 919, 943, 877, 7, 607, 321, 540, 753, 702, 528, 761, 179, 220, 587, 776, 922, 319, 1, 238, 179, 858, 196, 521, 585, 796, 138, 247, 246, 894, 374, 291, 882, 78, 255, 666, 338, 809, 741, 274, 266, 222, 816, 742, 942, 787, 571, 527, 105, 512, 82, 970, 738, 14, 162, 211, 407, 915, 692, 613, 669, 108, 249, 869, 267, 31, 345, 822, 543, 93, 701, 661, 111, 889, 468, 741, 386, 931, 759, 194, 883, 163, 928, 224, 578, 515, 774, 398, 86, 191, 830, 857, 642, 565, 864, 150, 683, 244, 790, 254, 583, 803, 529, 514, 962, 708, 360, 594, 483, 139, 818, 896, 628, 353, 416, 405, 956, 105, 860, 347, 216, 746, 14, 87, 932, 281, 713, 456, 875, 907, 7, 518, 439, 998, 79, 934, 608, 854, 257, 791, 668, 723, 32, 888, 89, 907, 294, 24, 129, 82, 137, 101, 912, 79, 223, 654, 809, 259, 262, 163, 175, 360, 882, 678, 327, 662, 44, 677, 835, 709, 981, 145, 989, 185, 197, 23, 687, 783, 305, 592, 458, 521, 40, 968, 30, 289, 877, 586, 981, 396, 469, 939, 666, 587, 462, 983, 377, 35, 986, 692, 207, 852, 355, 548, 162, 466, 62, 715, 338, 365, 749, 56, 446, 708, 863, 752, 935, 359, 770, 588, 365, 216, 924, 145, 166, 696, 578, 772, 594, 757, 761, 955, 312, 987, 322, 633, 500, 813, 394, 107, 875, 606, 585, 465, 717, 482, 585, 893, 860, 404, 331, 609, 473, 255, 321, 288, 557, 104, 781, 446, 47, 72, 748, 85, 294, 273, 653, 396, 187, 367, 996, 423, 998, 230, 626, 703, 470, 992, 911, 505, 847, 101, 70, 936, 210, 99, 455, 621, 408, 671, 348, 468, 864, 50, 263, 363, 709, 485, 53, 552, 193, 71, 608, 690, 231, 897, 796, 830, 221, 83, 307, 329, 205, 660, 947, 580, 841, 290, 270, 12, 126, 681, 235, 777, 521, 181, 632, 299, 77, 324, 755, 970, 639, 278, 711, 71, 192, 462, 896, 841, 804, 540, 119, 714, 434, 551, 455, 241, 329, 933, 348, 804, 277, 400, 838, 758, 369, 426, 981, 963, 425, 997, 958, 684, 420, 863, 926, 93, 320, 768, 528, 854, 758, 598, 602, 588, 973, 165, 440, 545, 104, 76, 382, 980, 802, 495, 438, 873, 777, 913, 550, 713, 659, 717, 749, 960, 345, 611, 42, 364, 57, 174, 378, 136, 908, 317, 352, 132, 915, 929, 88, 525, 600, 88, 745, 281, 982, 649, 928, 120, 592, 930, 621, 885, 179, 207, 739, 818, 902, 500, 524, 439, 900, 916, 188, 845, 175, 149, 469, 385, 335, 192, 302, 904, 536, 921, 728, 208, 781, 674, 753, 980, 977, 945, 707, 561, 323, 520, 683, 735, 429, 711, 254, 472, 687, 982, 984, 633, 682, 248, 121, 729, 535, 939, 103, 60, 880, 226, 465, 962, 23, 290, 125, 126, 371, 977, 821, 645, 857, 938, 844, 135, 24, 108, 674, 208, 228, 347, 541, 639, 9, 57, 811, 29, 112, 730, 336, 106, 435, 421, 99, 600, 245, 646, 548, 273, 847, 782, 889, 288, 260, 74, 978, 216, 589, 680, 35, 92, 448, 97, 770, 221, 676, 42, 50, 461, 287, 696, 661, 595, 993, 592, 221, 79, 589, 289, 741, 827, 852, 985, 995, 340, 648, 428, 823, 566, 837, 617, 19, 424, 611, 296, 813, 375, 647, 424, 576, 542, 530, 926, 304, 345, 590, 623, 11, 512, 46, 748, 573, 804, 67, 733, 213, 125, 607, 918, 48, 295, 474, 718, 533, 12, 682, 837, 232, 994, 970, 283, 898, 252, 713, 119, 194, 821, 888, 548, 931, 757, 689, 529, 760, 693, 84, 922, 413, 259, 255, 92, 810, 486, 23, 51, 499, 620, 764, 113, 447, 110, 251, 361, 205, 798, 34, 384, 716, 730, 178, 989, 82, 600, 84, 430, 461, 612, 496, 440, 571, 31, 430, 63, 671, 788, 141, 944, 954, 627, 644, 274, 249, 159, 574, 518, 680, 11, 410, 802, 346, 325, 533, 188, 732, 947, 332, 861, 994, 199, 111, 499, 194, 958, 30, 163, 609, 393, 622, 624, 966, 700, 386, 852, 490, 399, 302, 673, 648, 500, 945, 515, 744, 353, 443, 351, 379, 763, 536, 248, 190, 826, 301, 779, 921, 169, 520, 667, 391, 262, 183, 412, 113, 252, 319, 843, 376, 858, 524, 596, 239, 547, 64, 49, 189, 944, 768, 904, 181, 526, 420, 84, 385, 328, 603, 653, 982, 300, 214, 34, 80, 794, 106, 762, 62, 960, 269, 526, 123, 25, 201, 410, 596, 295, 475, 949, 745, 728, 578, 678, 491, 338, 730, 225, 629, 518, 807, 550, 213, 793, 181, 134, 514, 57, 939, 524, 964, 278, 879, 293, 557, 949, 184, 373, 864, 291, 626, 530, 184, 850, 822, 150, 279, 215, 581, 276, 627, 515, 67, 284, 423, 210, 855, 719, 828, 120, 208, 445, 150, 813, 782, 49, 278, 544, 888, 724, 456, 426, 333, 549, 955, 58, 475, 136, 594, 948, 229, 407, 496, 965, 666, 759, 104, 383, 52, 703, 707, 775, 807, 411, 351, 558, 860, 882, 942, 876, 569, 19, 854, 138, 310, 36, 725, 334, 427, 64, 995, 105, 290, 332, 250, 178, 146, 276, 283, 46, 184, 739, 320, 603, 249, 2, 482, 449, 885, 124, 793, 546, 672, 307, 424, 796, 39, 363, 654, 305, 994, 313, 240, 8, 481, 185, 740, 485, 195, 86, 383, 910, 569, 744, 386, 920, 138, 538, 429, 540, 108, 247, 998, 610, 155, 409, 803, 8, 672, 820, 932, 785, 716, 514, 332, 39, 745, 369, 799, 988, 659, 596, 613, 963, 583, 393, 728, 454, 620, 385, 668, 240, 77, 967, 66, 547, 193, 613, 858, 404, 960, 738, 283, 901, 633, 103, 692, 251, 433, 840, 110, 570, 567, 879, 878, 308, 646, 279, 892, 4, 509, 327, 967, 660, 681, 652, 788, 260, 493, 495, 658, 694, 311, 653, 844, 901, 268, 775, 855, 505, 974, 807, 744, 832, 377, 657, 925, 949, 872, 715, 942, 865, 43, 493, 71, 135, 448, 236, 611, 177, 446, 863, 707, 465, 715, 201, 329, 245, 287, 412, 397, 330, 81, 27, 743, 853, 717, 729, 411, 893, 801, 121, 119, 945, 531, 680, 379, 920, 72, 141, 388, 988, 961, 321, 890, 956, 2, 302, 47, 978, 936, 38, 296, 457, 974, 901, 320, 158, 137, 763, 916, 74, 158, 849, 397, 41, 271, 350, 67, 790, 149, 773, 382, 270, 836, 878, 165, 438, 640, 392, 399, 455, 352, 427, 755, 879, 250, 92, 930, 733, 952, 670, 894, 565, 522, 353, 917, 400, 517, 433, 697, 778, 485, 1, 402, 677, 151, 74, 142, 115, 772, 565, 64, 159, 463, 147, 130, 140, 905, 736, 33, 328, 828, 855, 636, 770, 608, 979, 614, 340, 993, 883, 491, 693, 276, 753, 921, 479, 434, 748, 445, 798, 292, 471, 433, 809, 778, 490, 836, 686, 929, 429, 277, 532, 944, 561, 979, 60, 325, 274}

    Returns: {0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0 }

  97. 1000

    {856, 301, 407, 839, 10, 481, 44, 112, 923, 622, 140, 286, 774, 643, 17, 913, 361, 571, 759, 147, 237, 643, 261, 236, 209, 674, 835, 752, 738, 241, 206, 668, 16, 787, 888, 126, 908, 281, 434, 512, 851, 640, 753, 622, 646, 921, 959, 675, 537, 592, 882, 404, 864, 714, 467, 154, 475, 650, 575, 494, 324, 193, 379, 969, 417, 48, 236, 462, 107, 517, 231, 606, 885, 28, 683, 987, 447, 49, 412, 50, 963, 323, 106, 53, 725, 633, 530, 843, 187, 136, 336, 682, 181, 632, 531, 693, 317, 425, 928, 686, 933, 698, 840, 821, 917, 548, 243, 81, 305, 738, 977, 894, 431, 119, 443, 0, 421, 632, 574, 238, 715, 245, 274, 750, 96, 168, 533, 190, 909, 474, 344, 348, 571, 933, 665, 863, 967, 304, 551, 210, 12, 392, 851, 748, 504, 13, 338, 642, 141, 689, 926, 920, 868, 320, 435, 702, 0, 600, 548, 463, 148, 352, 789, 738, 723, 208, 357, 982, 91, 307, 68, 838, 287, 487, 8, 636, 288, 224, 992, 861, 625, 103, 538, 418, 116, 528, 892, 950, 10, 408, 193, 555, 265, 170, 960, 279, 184, 84, 825, 799, 849, 385, 888, 86, 85, 751, 756, 973, 848, 293, 602, 173, 40, 281, 796, 856, 604, 660, 567, 273, 121, 911, 911, 802, 757, 319, 754, 997, 42, 755, 714, 337, 451, 558, 690, 252, 36, 958, 861, 333, 377, 462, 493, 307, 109, 526, 819, 748, 41, 872, 210, 477, 949, 509, 306, 491, 922, 297, 627, 238, 92, 216, 756, 594, 446, 769, 611, 684, 385, 156, 452, 389, 199, 175, 656, 166, 744, 859, 339, 672, 518, 65, 767, 81, 841, 598, 258, 961, 461, 243, 954, 721, 427, 284, 648, 701, 902, 385, 389, 820, 804, 824, 261, 271, 223, 764, 682, 701, 923, 129, 778, 103, 492, 514, 568, 94, 615, 782, 727, 585, 742, 796, 181, 868, 917, 377, 736, 84, 330, 764, 783, 529, 629, 627, 148, 218, 993, 473, 670, 489, 711, 838, 466, 234, 76, 90, 34, 218, 990, 486, 865, 967, 172, 846, 704, 676, 441, 862, 229, 695, 987, 277, 698, 314, 699, 552, 980, 575, 319, 499, 613, 989, 560, 747, 86, 247, 384, 554, 367, 726, 613, 36, 955, 715, 71, 116, 571, 205, 30, 839, 662, 196, 22, 572, 726, 282, 423, 32, 973, 129, 307, 383, 207, 13, 596, 58, 775, 377, 950, 305, 988, 474, 641, 985, 30, 577, 316, 538, 232, 120, 91, 469, 283, 208, 625, 674, 497, 608, 645, 591, 6, 723, 947, 296, 832, 927, 92, 435, 402, 887, 645, 289, 875, 497, 654, 169, 706, 107, 661, 959, 489, 205, 745, 334, 882, 161, 621, 916, 758, 212, 695, 426, 694, 880, 178, 27, 265, 821, 584, 902, 845, 460, 546, 928, 72, 219, 414, 598, 749, 791, 510, 387, 854, 804, 283, 951, 792, 395, 515, 328, 674, 815, 101, 615, 271, 141, 467, 509, 128, 582, 523, 772, 799, 828, 989, 801, 89, 613, 692, 558, 891, 980, 451, 656, 344, 480, 882, 510, 32, 802, 375, 162, 858, 540, 351, 213, 775, 874, 318, 477, 495, 41, 541, 381, 432, 779, 528, 517, 811, 916, 612, 840, 960, 890, 996, 194, 225, 432, 969, 485, 15, 868, 518, 981, 762, 319, 762, 599, 542, 485, 877, 558, 805, 684, 223, 708, 586, 47, 759, 24, 353, 115, 264, 705, 15, 147, 293, 369, 715, 390, 255, 735, 251, 704, 414, 398, 863, 294, 86, 591, 340, 959, 150, 610, 163, 304, 576, 5, 301, 549, 347, 127, 404, 582, 996, 518, 362, 39, 248, 72, 409, 652, 636, 646, 692, 213, 739, 78, 67, 673, 537, 380, 957, 671, 211, 214, 418, 130, 460, 553, 683, 363, 389, 577, 178, 262, 646, 109, 821, 293, 652, 437, 560, 238, 98, 812, 526, 886, 228, 919, 484, 749, 994, 65, 718, 999, 49, 399, 467, 76, 482, 759, 458, 43, 814, 212, 265, 578, 225, 247, 653, 836, 965, 676, 434, 673, 23, 235, 981, 401, 984, 842, 865, 433, 535, 990, 195, 860, 922, 584, 654, 333, 327, 817, 464, 859, 112, 823, 290, 718, 481, 806, 20, 214, 578, 482, 883, 527, 403, 116, 396, 883, 401, 835, 801, 73, 526, 379, 153, 513, 784, 45, 17, 390, 653, 919, 530, 127, 994, 718, 731, 927, 36, 963, 506, 10, 323, 710, 12, 825, 111, 819, 352, 153, 907, 233, 497, 330, 988, 219, 374, 621, 59, 458, 272, 231, 285, 32, 841, 785, 219, 770, 539, 393, 600, 689, 264, 245, 945, 951, 463, 529, 169, 504, 489, 779, 771, 93, 148, 492, 775, 935, 809, 166, 473, 621, 542, 561, 582, 563, 17, 636, 739, 906, 751, 967, 166, 832, 297, 958, 469, 682, 348, 648, 193, 460, 986, 158, 662, 31, 602, 721, 540, 126, 853, 916, 841, 508, 581, 96, 48, 3, 537, 79, 468, 772, 512, 568, 305, 874, 107, 956, 102, 854, 787, 420, 72, 817, 359, 401, 493, 758, 140, 381, 159, 736, 317, 222, 587, 828, 451, 747, 628, 126, 386, 4, 248, 534, 251, 956, 245, 183, 211, 506, 596, 484, 235, 937, 361, 834, 27, 241, 28, 123, 63, 162, 999, 937, 365, 857, 565, 22, 853, 973, 128, 648, 213, 855, 602, 342, 889, 167, 793, 218, 734, 523, 202, 774, 273, 965, 584, 190, 373, 468, 514, 708, 741, 35, 353, 963, 933, 28, 889, 153, 721, 314, 658, 728, 306, 124, 809, 176, 581, 955, 479, 468, 709, 357, 236, 290, 909, 6, 961, 647, 964, 313, 938, 618, 597, 867, 281, 848, 405, 572, 266, 788, 458, 479, 699, 865, 909, 877, 271, 435, 240, 295, 770, 4, 353, 561, 808, 449, 496, 987, 14, 671, 767, 312, 654, 524, 85, 554, 630, 843, 241, 317, 190, 78, 901, 274, 484, 383, 993, 598, 946, 610, 898, 975, 252, 555, 521, 717, 778, 133, 929, 743, 228, 874, 873, 26, 935, 644, 757, 132, 102, 906, 423, 180, 778, 717, 625, 191, 849, 580, 989, 920, 931, 807, 698, 499, 258, 690, 520, 42, 509, 631, 734, 774, 593, 647, 949, 159, 629, 428, 913, 797, 767, 176, 197, 875, 393, 95, 161, 41, 455, 717, 785, 12, 433, 842, 894, 3, 576, 710, 941, 546, 889, 244, 917, 52, 860, 688, 630, 831, 306, 753, 615, 478, 262, 162, 380, 408, 898, 413, 125, 423, 173, 454, 670, 248, 156, 98, 3, 158, 832, 766, 734, 813, 276, 430, 662, 878, 146, 508, 323, 411, 575, 237, 443, 5, 204, 810, 26, 180, 950, 855, 510, 367, 130, 404, 197, 864, 587, 143, 557, 342, 327, 318, 316, 234, 505, 386, 902, 512, 714, 470, 579, 19, 776, 103, 98, 342, 587, 102, 745, 601, 364, 557, 974, 672, 609, 232, 73, 473, 897, 26, 806, 992, 149, 879, 928, 352, 886, 890, 286, 184, 90, 740, 159, 755, 279, 546, 59, 195, 63, 895, 331, 204, 755, 339, 463, 976, 930, 544, 534, 224, 168, 422, 117, 901, 791, 994, 976, 851, 452, 845, 614, 481, 853, 836, 842, 726, 63, 493, 250, 104, 15, 706, 268, 860, 308, 34, 81, 150, 996, 387, 894, 390, 912, 70, 51, 689, 11, 96, 261, 291, 642, 737, 142, 553, 866, 138, 542, 338, 581, 35, 879, 370, 338, 808, 120, 250, 448, 997, 622, 228, 284, 562, 211, 789, 921, 508, 695, 40, 216, 294, 758, 443, 765, 962, 168, 44, 578, 609, 376, 630, 471, 922, 527, 0, 405, 930, 250, 787, 206, 22, 441, 57, 160, 130, 370, 623, 591, 699, 314, 627, 67, 678, 282, 147, 482, 380, 183, 287, 200, 990, 560, 315, 347, 309, 981, 878, 679, 185, 807, 14, 119, 522, 384, 732, 949, 74, 888, 665, 731, 44, 854, 570, 954, 332, 594, 629, 275, 498, 516, 547, 452, 728, 8, 931, 330, 823, 125, 634, 538, 395, 992, 498, 43, 20, 747, 945, 214, 809, 466, 151, 732, 776, 859, 149, 46, 776, 90, 673, 930, 573, 530, 556, 46, 837, 495, 454, 5, 706, 19, 517, 601, 165, 934, 491, 457, 285, 757, 408, 539, 178, 399, 908, 562, 487, 688, 991, 396, 393, 961, 954, 777, 544, 640, 499, 478, 720, 911, 225, 877, 69, 504, 848, 783, 39, 782, 264, 676, 244, 374, 568, 725, 576, 895, 618, 456, 554, 704, 442, 982, 425, 931, 523, 594, 480, 347, 701, 626, 618, 808, 405, 375, 595, 105, 696, 88, 623, 945, 161, 740, 886, 565, 694, 224, 163, 249, 234, 968, 203, 934, 661, 113, 951, 208, 303, 396, 580, 403, 857, 822, 427, 661, 8, 85, 601, 595, 226, 109, 376, 76, 111, 957, 336, 887, 984, 907, 172, 976, 837, 286, 783, 339, 374, 369, 433, 432, 24, 381, 533, 988, 684, 177, 697, 572, 373, 428, 849, 296, 794, 163, 984, 666, 779, 296, 845, 739, 87, 683, 968, 137, 545, 929, 914, 242, 2}

    {378, 953, 418, 174, 552, 878, 471, 790, 649, 977, 702, 230, 464, 628, 768, 490, 631, 769, 223, 253, 74, 105, 439, 814, 588, 114, 75, 943, 593, 784, 106, 569, 399, 483, 462, 903, 442, 165, 915, 617, 986, 138, 175, 54, 597, 276, 962, 198, 320, 25, 651, 740, 896, 144, 371, 120, 969, 724, 680, 836, 192, 373, 873, 397, 881, 685, 524, 606, 266, 687, 343, 184, 358, 444, 378, 215, 246, 720, 816, 169, 545, 46, 391, 158, 822, 310, 918, 444, 472, 157, 456, 247, 365, 66, 844, 171, 88, 556, 940, 527, 711, 818, 465, 697, 80, 105, 95, 970, 486, 995, 327, 603, 221, 77, 983, 453, 801, 155, 871, 174, 454, 113, 784, 966, 230, 445, 551, 588, 457, 903, 201, 332, 500, 217, 280, 51, 681, 675, 971, 359, 34, 840, 68, 118, 419, 50, 325, 157, 998, 796, 707, 226, 246, 469, 277, 205, 260, 729, 900, 291, 516, 936, 870, 156, 313, 287, 905, 124, 110, 975, 817, 31, 202, 522, 896, 993, 301, 688, 971, 351, 217, 313, 145, 368, 354, 614, 890, 49, 528, 944, 881, 64, 61, 292, 794, 669, 472, 253, 392, 761, 80, 64, 50, 138, 750, 628, 341, 964, 907, 685, 270, 663, 624, 532, 896, 727, 18, 6, 785, 198, 663, 78, 459, 664, 244, 192, 356, 209, 471, 935, 77, 299, 294, 75, 525, 221, 687, 209, 122, 943, 122, 187, 713, 920, 93, 772, 790, 693, 331, 144, 233, 867, 985, 655, 665, 267, 831, 137, 192, 597, 270, 62, 915, 84, 564, 919, 318, 64, 215, 409, 834, 604, 953, 135, 476, 221, 773, 344, 129, 31, 19, 691, 240, 308, 873, 62, 763, 693, 929, 948, 104, 243, 678, 222, 426, 55, 122, 652, 18, 669, 824, 372, 182, 476, 743, 522, 416, 2, 171, 914, 711, 61, 750, 977, 553, 753, 710, 924, 764, 366, 204, 402, 805, 709, 335, 99, 422, 406, 131, 108, 332, 412, 786, 999, 290, 547, 810, 702, 620, 37, 550, 722, 278, 733, 33, 308, 16, 820, 112, 870, 289, 329, 309, 901, 529, 936, 634, 672, 789, 70, 555, 387, 835, 829, 311, 503, 310, 559, 324, 110, 807, 942, 134, 134, 723, 52, 151, 91, 137, 191, 398, 424, 253, 664, 506, 160, 488, 270, 189, 716, 791, 357, 136, 608, 263, 277, 446, 181, 897, 337, 226, 788, 278, 400, 321, 440, 938, 551, 424, 284, 325, 115, 595, 173, 354, 363, 744, 24, 681, 144, 58, 186, 986, 793, 507, 149, 561, 108, 410, 35, 590, 295, 655, 649, 174, 939, 263, 143, 540, 56, 700, 114, 448, 146, 741, 831, 355, 62, 255, 206, 480, 239, 100, 639, 429, 883, 719, 152, 154, 760, 1, 763, 461, 893, 812, 556, 607, 844, 2, 978, 474, 667, 948, 525, 847, 611, 411, 73, 322, 722, 634, 564, 127, 769, 9, 97, 713, 844, 29, 251, 179, 479, 619, 47, 457, 871, 590, 947, 941, 669, 326, 667, 660, 455, 267, 675, 459, 603, 641, 494, 425, 880, 519, 368, 303, 866, 952, 532, 394, 535, 570, 124, 925, 507, 934, 37, 391, 322, 249, 117, 869, 141, 201, 278, 768, 23, 666, 11, 543, 925, 915, 521, 329, 33, 754, 197, 177, 371, 486, 891, 99, 898, 139, 501, 429, 806, 771, 400, 694, 811, 496, 797, 367, 926, 54, 447, 879, 370, 132, 442, 365, 843, 867, 525, 978, 194, 164, 1, 899, 272, 410, 254, 446, 312, 420, 998, 752, 589, 53, 83, 781, 106, 521, 230, 9, 659, 644, 904, 713, 829, 7, 182, 626, 923, 744, 985, 839, 531, 326, 657, 857, 707, 310, 958, 436, 71, 912, 272, 136, 691, 470, 788, 668, 1, 262, 440, 559, 541, 152, 436, 165, 748, 995, 820, 20, 501, 362, 220, 968, 295, 151, 690, 795, 588, 55, 927, 892, 66, 155, 880, 125, 60, 502, 847, 229, 870, 280, 813, 768, 892, 273, 900, 932, 362, 59, 328, 164, 606, 65, 712, 351, 75, 242, 450, 246, 781, 979, 398, 592, 500, 971, 991, 703, 686, 664, 792, 798, 962, 599, 100, 539, 202, 814, 74, 216, 97, 816, 275, 700, 360, 932, 360, 513, 943, 13, 57, 328, 82, 87, 411, 371, 564, 824, 703, 450, 266, 812, 567, 616, 939, 220, 189, 382, 490, 639, 893, 838, 89, 803, 475, 679, 563, 180, 707, 603, 268, 810, 503, 709, 69, 685, 312, 887, 730, 885, 624, 614, 145, 913, 172, 562, 650, 349, 366, 439, 145, 121, 123, 69, 392, 786, 58, 188, 680, 430, 402, 60, 40, 533, 388, 465, 288, 256, 114, 38, 255, 746, 239, 346, 470, 336, 359, 285, 143, 93, 311, 966, 586, 547, 667, 799, 633, 434, 513, 349, 794, 884, 997, 394, 292, 944, 712, 346, 763, 543, 906, 972, 269, 852, 876, 345, 194, 550, 316, 875, 858, 825, 288, 45, 536, 269, 872, 186, 761, 910, 33, 742, 781, 445, 749, 464, 586, 541, 29, 150, 826, 340, 605, 501, 488, 819, 803, 191, 438, 66, 465, 53, 445, 754, 118, 94, 904, 900, 356, 417, 696, 691, 146, 431, 259, 413, 716, 113, 38, 188, 827, 866, 872, 421, 677, 811, 140, 115, 596, 430, 745, 397, 502, 188, 593, 663, 620, 70, 827, 612, 729, 38, 952, 679, 876, 372, 39, 863, 279, 382, 692, 110, 82, 57, 846, 957, 183, 780, 611, 132, 16, 394, 496, 196, 730, 200, 903, 980, 375, 724, 681, 118, 826, 720, 830, 737, 733, 826, 724, 199, 249, 128, 321, 548, 979, 729, 914, 658, 302, 762, 48, 257, 918, 43, 322, 608, 705, 850, 300, 82, 485, 585, 792, 406, 818, 258, 651, 656, 252, 982, 640, 793, 511, 297, 268, 803, 495, 855, 730, 800, 298, 491, 580, 805, 349, 227, 573, 780, 773, 220, 111, 677, 182, 242, 345, 897, 417, 893, 535, 346, 358, 341, 395, 884, 926, 14, 160, 438, 444, 186, 751, 972, 18, 736, 56, 25, 712, 532, 54, 135, 152, 760, 617, 217, 414, 438, 92, 505, 199, 569, 167, 905, 71, 289, 440, 407, 358, 232, 350, 383, 450, 557, 637, 477, 766, 505, 185, 415, 175, 515, 703, 830, 946, 364, 415, 426, 719, 884, 998, 577, 904, 291, 941, 899, 361, 574, 254, 696, 47, 708, 719, 488, 833, 737, 620, 908, 818, 27, 798, 742, 388, 552, 979, 635, 55, 386, 461, 447, 921, 771, 142, 335, 686, 416, 641, 117, 569, 502, 88, 834, 617, 761, 756, 837, 680, 619, 87, 956, 816, 500, 134, 368, 972, 185, 189, 579, 804, 936, 302, 579, 83, 856, 196, 388, 599, 95, 200, 869, 212, 299, 852, 743, 448, 869, 478, 7, 891, 765, 647, 119, 965, 302, 638, 952, 607, 830, 619, 449, 519, 668, 101, 948, 79, 899, 876, 60, 585, 637, 263, 429, 659, 475, 653, 494, 566, 536, 56, 155, 939, 544, 798, 610, 472, 632, 592, 171, 406, 524, 187, 407, 975, 235, 11, 276, 590, 800, 104, 135, 437, 259, 797, 222, 379, 850, 966, 862, 937, 642, 605, 716, 133, 259, 366, 298, 315, 631, 274, 476, 815, 735, 416, 334, 260, 566, 938, 970, 912, 940, 483, 732, 431, 871, 325, 341, 369, 770, 507, 280, 705, 275, 800, 511, 638, 282, 657, 37, 269, 320, 823, 728, 964, 503, 666, 515, 203, 735, 203, 671, 170, 643, 983, 324, 932, 624, 360, 233, 790, 415, 635, 637, 519, 376, 605, 583, 343, 397, 852, 626, 409, 254, 947, 918, 256, 974, 697, 609, 201, 21, 567, 343, 4, 833, 659, 623, 97, 566, 420, 746, 955, 549, 229, 644, 895, 760, 364, 421, 655, 292, 573, 466, 412, 30, 419, 80, 298, 210, 329, 345, 237, 574, 422, 21, 300, 822, 133, 139, 9, 256, 687, 239, 722, 459, 384, 670, 176, 311, 309, 490, 658, 733, 649, 677, 354, 207, 321, 257, 29, 651, 378, 456, 355, 765, 363, 170, 858, 45, 99, 782, 121, 207, 725, 773, 746, 303, 179, 372, 827, 940, 436, 428, 333, 101, 780, 633, 25, 356, 974, 795, 167, 139, 766, 42, 833, 978, 942, 559, 7, 727, 846, 741, 563, 612, 131, 520, 300, 419, 304, 79, 600, 498, 52, 657, 885, 607, 924, 516, 424, 89, 777, 83, 483, 179, 437, 645, 678, 51, 850, 198, 108, 520, 340, 570, 67, 453, 350, 131, 752, 815, 231, 267, 881, 123, 777, 650, 331, 565, 942, 195, 862, 154, 995, 616, 847, 514, 511, 164, 795, 639, 142, 400, 68, 638, 227, 315, 283, 786, 23, 531, 77, 583, 410, 635, 94, 924, 589, 337, 953, 829, 604, 215, 453, 700, 550, 944, 350, 177, 260, 731, 21, 925, 61, 240, 257, 991, 334, 970, 910, 157, 413, 536, 946, 660, 549, 910, 802, 299, 391, 864, 583, 439, 545, 326, 427, 487, 543, 589, 335, 828, 403, 983, 861, 534, 348, 455, 449, 813, 960, 441, 355, 905, 616, 227, 382, 492, 100}

    Returns: {1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0 }

  98. 1000

    {900, 374, 243, 256, 630, 600, 928, 75, 356, 872, 0, 645, 275, 972, 450, 201, 987, 77, 926, 215, 795, 225, 513, 800, 521, 977, 140, 261, 51, 665, 791, 607, 2, 334, 778, 542, 887, 961, 170, 566, 518, 83, 424, 594, 888, 560, 778, 919, 298, 427, 646, 280, 890, 26, 288, 335, 214, 713, 464, 213, 718, 223, 891, 492, 569, 587, 994, 286, 287, 924, 255, 698, 181, 101, 99, 286, 655, 258, 105, 661, 389, 900, 803, 777, 336, 714, 831, 38, 313, 50, 993, 4, 717, 144, 964, 688, 531, 397, 210, 96, 739, 212, 557, 921, 692, 909, 768, 83, 403, 847, 497, 849, 174, 318, 594, 222, 539, 861, 333, 231, 319, 860, 313, 392, 744, 112, 363, 249, 333, 47, 462, 390, 889, 548, 258, 682, 91, 388, 708, 9, 890, 851, 252, 448, 158, 725, 485, 498, 639, 126, 544, 635, 431, 119, 254, 76, 819, 476, 39, 32, 66, 525, 636, 374, 901, 356, 240, 738, 354, 644, 582, 229, 577, 285, 847, 196, 117, 38, 614, 125, 181, 157, 159, 824, 940, 684, 352, 924, 199, 651, 491, 899, 46, 748, 587, 488, 288, 570, 159, 804, 501, 113, 394, 491, 304, 976, 937, 869, 502, 293, 809, 584, 628, 784, 963, 694, 983, 23, 229, 651, 801, 836, 215, 46, 216, 521, 916, 272, 186, 919, 197, 935, 658, 45, 5, 188, 121, 24, 164, 31, 728, 932, 778, 215, 365, 933, 526, 287, 103, 466, 59, 249, 737, 480, 571, 932, 799, 115, 867, 282, 177, 8, 210, 234, 201, 7, 295, 459, 253, 649, 611, 509, 643, 141, 444, 323, 518, 617, 280, 173, 549, 302, 807, 981, 203, 133, 4, 320, 471, 621, 716, 107, 330, 492, 674, 925, 193, 233, 40, 655, 488, 373, 14, 213, 22, 776, 122, 255, 133, 465, 907, 362, 920, 657, 393, 41, 321, 782, 961, 254, 270, 701, 789, 522, 15, 856, 858, 460, 961, 722, 783, 747, 808, 565, 968, 873, 524, 622, 848, 539, 225, 69, 287, 827, 156, 112, 400, 740, 170, 587, 59, 176, 84, 185, 445, 752, 976, 468, 962, 537, 845, 765, 224, 926, 482, 222, 889, 855, 758, 169, 2, 487, 63, 362, 634, 120, 183, 964, 163, 138, 273, 927, 12, 485, 228, 742, 954, 852, 718, 691, 393, 491, 470, 390, 998, 399, 515, 698, 730, 336, 78, 457, 154, 381, 672, 273, 667, 370, 811, 536, 34, 768, 373, 894, 116, 72, 500, 457, 502, 663, 268, 610, 157, 326, 889, 992, 270, 862, 647, 527, 839, 384, 146, 134, 347, 348, 495, 373, 291, 764, 235, 132, 865, 420, 921, 840, 1, 118, 488, 700, 624, 116, 999, 329, 523, 502, 580, 378, 192, 304, 47, 95, 993, 745, 420, 820, 518, 225, 471, 32, 514, 395, 992, 614, 58, 226, 568, 129, 955, 629, 469, 957, 517, 896, 87, 169, 311, 758, 630, 398, 194, 646, 952, 953, 660, 902, 915, 364, 94, 158, 574, 270, 384, 670, 962, 362, 467, 895, 760, 90, 423, 829, 430, 320, 965, 941, 51, 813, 394, 645, 804, 852, 855, 978, 786, 309, 399, 619, 878, 201, 320, 368, 102, 24, 933, 686, 907, 701, 166, 239, 679, 647, 959, 411, 19, 113, 695, 475, 811, 736, 901, 875, 562, 524, 717, 868, 477, 496, 449, 102, 217, 722, 54, 974, 191, 388, 850, 13, 819, 440, 589, 407, 523, 191, 667, 74, 686, 164, 474, 826, 103, 998, 566, 18, 294, 550, 249, 874, 647, 799, 436, 782, 622, 118, 772, 203, 857, 916, 836, 268, 954, 535, 2, 790, 482, 902, 565, 951, 112, 174, 78, 324, 427, 439, 125, 220, 832, 903, 590, 650, 413, 196, 93, 117, 265, 751, 707, 980, 896, 955, 780, 427, 764, 202, 197, 796, 370, 175, 378, 530, 702, 603, 495, 553, 299, 764, 69, 672, 59, 526, 236, 596, 420, 892, 34, 765, 481, 600, 269, 454, 675, 928, 11, 452, 98, 630, 38, 170, 872, 490, 529, 788, 297, 559, 898, 599, 125, 777, 709, 902, 767, 974, 497, 560, 701, 197, 230, 985, 555, 26, 177, 144, 575, 811, 639, 594, 289, 894, 743, 877, 423, 541, 181, 290, 379, 962, 825, 32, 714, 250, 508, 110, 866, 548, 525, 71, 321, 419, 263, 192, 575, 60, 234, 252, 831, 242, 193, 719, 509, 404, 129, 941, 635, 294, 948, 509, 464, 497, 595, 166, 469, 545, 508, 865, 429, 397, 813, 253, 807, 860, 0, 395, 572, 301, 979, 888, 219, 713, 212, 63, 529, 667, 6, 918, 813, 725, 485, 218, 335, 986, 733, 707, 636, 571, 755, 117, 214, 211, 19, 916, 140, 578, 426, 615, 759, 739, 257, 90, 209, 62, 11, 307, 44, 446, 254, 389, 468, 930, 121, 444, 97, 275, 530, 426, 750, 424, 198, 639, 246, 462, 800, 392, 322, 609, 623, 773, 65, 624, 528, 798, 707, 905, 43, 562, 285, 155, 230, 535, 413, 627, 983, 251, 196, 440, 569, 805, 444, 981, 69, 277, 448, 334, 839, 532, 283, 923, 124, 243, 771, 689, 300, 892, 926, 322, 591, 574, 626, 121, 483, 570, 646, 573, 829, 347, 385, 281, 207, 743, 318, 503, 438, 769, 290, 235, 288, 327, 292, 960, 601, 62, 798, 365, 445, 30, 815, 880, 547, 606, 871, 989, 46, 737, 683, 703, 148, 719, 302, 272, 439, 980, 679, 400, 422, 847, 438, 415, 383, 592, 993, 237, 20, 615, 562, 573, 477, 850, 736, 826, 937, 381, 638, 227, 964, 974, 897, 269, 27, 685, 156, 466, 271, 933, 106, 264, 77, 718, 754, 246, 970, 699, 662, 301, 359, 295, 661, 90, 269, 397, 344, 684, 43, 941, 227, 226, 25, 595, 194, 413, 451, 662, 673, 904, 570, 138, 342, 967, 139, 641, 333, 661, 540, 85, 915, 446, 548, 229, 425, 384, 70, 988, 574, 855, 705, 381, 319, 459, 959, 403, 697, 247, 326, 721, 76, 28, 154, 517, 756, 525, 523, 669, 443, 332, 307, 939, 105, 422, 328, 845, 439, 239, 61, 915, 953, 161, 877, 3, 6, 466, 657, 25, 24, 324, 876, 61, 284, 264, 665, 84, 952, 138, 788, 475, 503, 994, 513, 8, 318, 700, 943, 503, 741, 388, 969, 242, 779, 450, 879, 512, 762, 976, 851, 434, 116, 740, 27, 697, 566, 860, 969, 18, 216, 58, 789, 721, 107, 838, 131, 220, 733, 851, 750, 949, 436, 82, 649, 821, 610, 482, 589, 897, 696, 434, 879, 327, 151, 157, 924, 882, 385, 401, 55, 310, 905, 103, 490, 533, 283, 949, 532, 823, 358, 536, 252, 298, 914, 366, 572, 41, 338, 814, 40, 875, 13, 786, 837, 559, 708, 286, 62, 885, 393, 990, 149, 680, 330, 861, 891, 598, 282, 622, 992, 748, 430, 592, 311, 279, 968, 945, 803, 636, 263, 434, 332, 108, 991, 640, 403, 118, 124, 13, 317, 871, 354, 604, 481, 25, 786, 257, 231, 633, 595, 626, 872, 217, 48, 329, 784, 63, 591, 192, 64, 4, 658, 741, 596, 805, 914, 268, 84, 56, 990, 808, 259, 844, 559, 608, 521, 307, 198, 539, 259, 986, 346, 606, 73, 294, 345, 625, 862, 654, 177, 991, 722, 690, 353, 885, 12, 345, 145, 988, 817, 212, 687, 61, 374, 756, 139, 849, 977, 640, 520, 483, 673, 498, 0, 257, 736, 949, 547, 387, 746, 469, 814, 968, 708, 20, 58, 865, 230, 874, 332, 1, 705, 885, 577, 194, 495, 143, 945, 452, 511, 788, 169, 561, 460, 791, 246, 12, 492, 143, 867, 189, 660, 387, 731, 745, 106, 20, 173, 290, 963, 247, 382, 265, 248, 640, 591, 560, 335, 368, 250, 791, 578, 325, 158, 515, 743, 611, 980, 424, 484, 296, 97, 291, 714, 238, 105, 354, 733, 954, 457, 864, 478, 14, 988, 123, 588, 259, 306, 849, 390, 23, 15, 836, 347, 644, 530, 329, 990, 45, 765, 207, 236, 656, 663, 894, 712, 939, 785, 959, 907, 253, 619, 39, 650, 650, 83, 899, 782, 55, 258, 690, 297, 837, 895, 588, 302, 617, 838, 348, 113, 228, 133, 145, 48, 425, 18, 511, 77, 934, 719, 426, 833, 74, 977, 209, 277, 52, 39, 984, 978, 828, 697, 159, 845, 327, 519, 110, 536, 243, 798, 3, 82, 656, 627, 576, 81, 359, 398, 512, 546, 592, 276, 312, 796, 801, 512, 547, 666, 910, 925, 44, 795, 226, 662, 85, 899, 160, 353, 359, 323, 657, 649, 299, 972, 950, 464, 315, 106, 451, 484, 207, 78, 728, 490, 465, 148, 721, 161, 129, 160, 402, 293, 937, 348, 480, 986, 500, 909, 755, 690, 325, 366, 291, 794, 604, 456, 188, 545, 47, 831, 758, 323, 763, 326, 309, 905, 430, 227, 277, 298, 772, 211, 511, 445, 555, 752, 6, 346, 499, 998, 435, 914, 745, 325, 542, 928, 833, 367, 97, 263, 871, 300, 685, 751, 17, 615, 679, 322, 127, 927, 313, 214, 217, 449, 311, 779, 637, 801, 324}

    {597, 599, 467, 772, 929, 864, 142, 613, 747, 870, 841, 456, 305, 691, 155, 417, 41, 477, 221, 918, 516, 316, 410, 537, 372, 94, 842, 44, 694, 947, 799, 273, 911, 355, 86, 442, 839, 781, 750, 360, 22, 805, 723, 128, 844, 168, 367, 510, 185, 472, 385, 496, 790, 363, 218, 441, 668, 620, 164, 797, 200, 729, 824, 380, 404, 486, 219, 383, 991, 727, 729, 674, 920, 109, 795, 450, 126, 593, 842, 664, 30, 806, 314, 731, 340, 441, 774, 672, 893, 870, 780, 411, 904, 317, 550, 301, 340, 828, 473, 182, 597, 501, 913, 620, 655, 141, 305, 601, 391, 92, 151, 437, 746, 415, 720, 200, 266, 552, 776, 379, 126, 89, 958, 936, 684, 642, 797, 9, 564, 37, 241, 184, 30, 42, 846, 26, 371, 406, 60, 635, 142, 759, 654, 817, 472, 549, 755, 79, 141, 552, 618, 401, 892, 586, 406, 967, 676, 620, 507, 585, 516, 531, 278, 822, 598, 825, 963, 947, 406, 775, 958, 387, 251, 342, 150, 598, 699, 33, 476, 590, 867, 100, 946, 529, 447, 856, 538, 577, 446, 281, 380, 770, 467, 903, 137, 710, 451, 114, 579, 754, 137, 869, 306, 352, 411, 205, 304, 43, 874, 828, 153, 107, 161, 442, 99, 741, 533, 670, 681, 391, 728, 634, 830, 349, 91, 896, 715, 844, 656, 433, 163, 409, 878, 271, 232, 934, 410, 553, 494, 673, 797, 428, 262, 104, 343, 936, 723, 884, 414, 531, 337, 228, 267, 344, 108, 487, 276, 565, 95, 732, 341, 447, 766, 749, 183, 751, 493, 262, 244, 826, 876, 416, 526, 360, 319, 835, 609, 437, 989, 904, 893, 882, 816, 414, 538, 808, 971, 67, 546, 235, 927, 260, 88, 238, 978, 60, 478, 414, 973, 815, 75, 522, 767, 623, 36, 40, 234, 853, 454, 567, 981, 957, 800, 835, 515, 641, 995, 678, 737, 453, 241, 131, 652, 498, 922, 982, 578, 407, 7, 830, 190, 852, 28, 704, 897, 241, 180, 478, 231, 997, 89, 336, 306, 535, 380, 817, 586, 868, 913, 136, 558, 653, 815, 579, 648, 809, 423, 689, 433, 200, 908, 614, 617, 944, 762, 178, 245, 563, 827, 544, 174, 130, 893, 506, 631, 27, 417, 698, 369, 810, 843, 898, 653, 408, 202, 389, 266, 846, 205, 465, 514, 156, 931, 546, 738, 344, 109, 618, 975, 832, 608, 366, 880, 881, 757, 965, 903, 119, 607, 749, 581, 695, 79, 510, 56, 346, 580, 202, 669, 53, 279, 835, 122, 64, 756, 88, 279, 766, 71, 74, 506, 513, 337, 418, 308, 823, 670, 540, 804, 749, 608, 942, 363, 166, 162, 428, 36, 223, 292, 127, 543, 422, 264, 781, 239, 355, 339, 267, 626, 931, 858, 440, 342, 104, 432, 167, 316, 409, 735, 484, 877, 809, 428, 866, 760, 417, 500, 906, 975, 793, 91, 399, 538, 171, 909, 321, 52, 664, 580, 989, 470, 310, 687, 152, 696, 724, 549, 222, 854, 950, 375, 19, 857, 681, 168, 822, 996, 935, 686, 948, 687, 36, 357, 87, 862, 660, 337, 599, 522, 554, 671, 593, 616, 944, 435, 557, 767, 341, 713, 834, 370, 618, 585, 696, 979, 629, 834, 612, 432, 960, 584, 191, 171, 461, 873, 102, 875, 887, 473, 244, 219, 938, 402, 760, 314, 15, 863, 508, 233, 147, 693, 938, 100, 312, 382, 715, 950, 72, 929, 920, 367, 543, 792, 966, 768, 790, 172, 999, 475, 576, 460, 48, 400, 76, 447, 368, 261, 984, 199, 579, 56, 145, 81, 573, 153, 308, 398, 773, 115, 448, 863, 694, 317, 651, 42, 244, 680, 453, 396, 147, 21, 184, 419, 251, 404, 506, 206, 303, 569, 613, 881, 994, 396, 987, 854, 951, 664, 711, 729, 101, 739, 709, 461, 912, 190, 437, 386, 973, 781, 528, 144, 505, 681, 408, 706, 470, 64, 628, 355, 688, 419, 757, 21, 233, 763, 31, 456, 151, 709, 888, 589, 699, 561, 996, 678, 654, 185, 412, 706, 631, 167, 429, 486, 165, 732, 14, 394, 187, 114, 331, 220, 917, 130, 199, 421, 143, 568, 432, 753, 858, 607, 563, 870, 210, 841, 884, 275, 637, 154, 109, 364, 644, 537, 658, 956, 510, 652, 785, 92, 883, 80, 971, 921, 505, 545, 343, 550, 850, 147, 693, 50, 676, 68, 759, 3, 632, 816, 868, 57, 128, 796, 408, 643, 940, 471, 887, 910, 124, 111, 724, 371, 206, 42, 35, 11, 985, 822, 293, 175, 935, 179, 882, 454, 912, 936, 943, 734, 296, 551, 725, 820, 104, 442, 748, 480, 652, 629, 632, 278, 315, 731, 558, 86, 208, 793, 588, 932, 534, 396, 7, 349, 37, 459, 221, 55, 376, 135, 735, 922, 351, 458, 75, 127, 499, 165, 463, 553, 357, 603, 692, 898, 303, 717, 675, 96, 9, 28, 179, 67, 642, 859, 823, 71, 829, 37, 267, 195, 677, 752, 619, 146, 703, 563, 711, 711, 245, 929, 405, 761, 519, 942, 727, 734, 970, 237, 65, 361, 834, 691, 848, 642, 827, 474, 720, 520, 837, 328, 111, 891, 507, 732, 712, 350, 247, 139, 685, 377, 857, 802, 299, 775, 223, 409, 238, 310, 375, 624, 284, 376, 955, 584, 136, 476, 331, 583, 659, 209, 204, 953, 98, 965, 499, 843, 463, 361, 213, 240, 913, 10, 838, 452, 715, 274, 995, 985, 710, 604, 163, 352, 376, 564, 179, 561, 441, 973, 208, 282, 816, 597, 879, 33, 934, 108, 115, 873, 581, 621, 582, 971, 738, 494, 583, 703, 395, 415, 114, 80, 375, 421, 493, 766, 412, 754, 753, 997, 859, 671, 119, 178, 726, 274, 723, 753, 567, 558, 602, 706, 21, 57, 982, 746, 793, 771, 449, 777, 533, 779, 683, 583, 665, 541, 917, 50, 198, 806, 830, 67, 890, 193, 51, 532, 443, 846, 382, 410, 315, 774, 496, 436, 769, 641, 911, 854, 274, 552, 150, 255, 726, 33, 168, 787, 613, 695, 272, 682, 612, 463, 206, 683, 334, 300, 744, 554, 357, 17, 70, 600, 187, 308, 204, 364, 356, 195, 818, 504, 5, 435, 338, 96, 633, 468, 948, 1, 952, 16, 625, 960, 66, 95, 190, 152, 957, 351, 52, 120, 675, 571, 912, 810, 101, 669, 29, 136, 770, 68, 742, 884, 372, 80, 859, 663, 605, 429, 292, 505, 596, 358, 895, 551, 938, 519, 689, 582, 922, 776, 603, 203, 416, 483, 339, 979, 883, 65, 880, 825, 392, 557, 280, 278, 780, 172, 111, 590, 906, 814, 110, 612, 314, 541, 700, 53, 162, 188, 183, 171, 349, 864, 99, 237, 610, 386, 68, 819, 818, 486, 261, 369, 527, 972, 487, 81, 303, 204, 693, 504, 951, 925, 443, 730, 211, 730, 668, 946, 372, 840, 883, 653, 812, 716, 353, 283, 289, 455, 666, 160, 863, 208, 176, 153, 940, 869, 833, 602, 285, 79, 605, 142, 680, 130, 792, 616, 137, 29, 256, 710, 802, 379, 783, 49, 901, 842, 189, 236, 377, 792, 29, 956, 747, 386, 848, 787, 54, 866, 405, 818, 195, 216, 266, 250, 534, 840, 943, 945, 135, 378, 331, 853, 418, 135, 93, 167, 930, 761, 821, 455, 8, 744, 555, 248, 53, 271, 540, 967, 248, 564, 152, 218, 94, 98, 10, 462, 10, 205, 178, 474, 383, 586, 638, 345, 996, 330, 812, 162, 128, 360, 572, 556, 240, 516, 5, 911, 627, 668, 806, 489, 946, 180, 82, 489, 146, 705, 22, 982, 601, 727, 122, 425, 783, 771, 132, 295, 534, 350, 458, 543, 628, 87, 770, 131, 369, 970, 784, 507, 73, 187, 918, 316, 886, 528, 31, 66, 966, 365, 184, 45, 17, 358, 637, 86, 995, 361, 886, 682, 923, 34, 678, 35, 89, 402, 688, 702, 775, 716, 876, 262, 421, 140, 165, 812, 997, 401, 88, 807, 57, 551, 803, 391, 176, 720, 999, 602, 73, 134, 704, 517, 878, 256, 773, 328, 794, 296, 677, 763, 49, 676, 919, 677, 930, 585, 704, 407, 556, 794, 172, 645, 418, 458, 824, 975, 339, 958, 843, 371, 514, 609, 726, 123, 625, 120, 309, 702, 479, 810, 923, 72, 232, 289, 832, 93, 350, 481, 150, 942, 987, 856, 554, 377, 908, 524, 405, 221, 148, 149, 886, 802, 638, 297, 461, 100, 605, 648, 232, 16, 189, 501, 593, 260, 224, 762, 631, 265, 175, 757, 173, 494, 623, 853, 861, 438, 906, 568, 643, 692, 712, 761, 155, 242, 633, 666, 659, 606, 182, 576, 472, 493, 575, 224, 774, 611, 820, 616, 431, 556, 284, 634, 340, 724, 134, 149, 659, 734, 900, 621, 931, 821, 416, 23, 489, 841, 180, 473, 504, 479, 671, 648, 917, 740, 944, 787, 35, 455, 984, 412, 581, 567, 182, 544, 939, 632, 956, 276, 123, 70, 338, 341, 910, 312, 186, 947, 966, 881, 49, 769, 305, 351, 186, 527, 132, 92, 85, 785, 969, 245, 281, 453, 983, 674, 260, 343, 479, 742, 789, 520, 542, 431, 908, 54, 433, 16, 735}

    Returns: {1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1 }

  99. 1000

    {685, 79, 863, 37, 858, 446, 159, 778, 452, 398, 524, 701, 45, 834, 811, 613, 37, 619, 53, 894, 42, 690, 263, 325, 956, 806, 127, 924, 142, 707, 93, 818, 43, 451, 577, 949, 114, 991, 712, 658, 17, 642, 253, 831, 712, 461, 143, 611, 363, 587, 692, 403, 227, 98, 238, 391, 275, 23, 848, 215, 682, 247, 694, 897, 900, 328, 442, 539, 523, 668, 805, 339, 145, 847, 91, 80, 835, 153, 255, 472, 375, 874, 809, 109, 569, 151, 699, 769, 368, 992, 980, 594, 779, 313, 951, 509, 146, 40, 436, 725, 866, 305, 767, 169, 380, 210, 806, 953, 204, 387, 743, 180, 90, 812, 198, 797, 742, 300, 428, 979, 622, 320, 809, 156, 698, 826, 397, 231, 68, 244, 868, 622, 341, 472, 101, 80, 328, 754, 961, 924, 959, 97, 242, 387, 705, 776, 51, 305, 513, 291, 743, 775, 908, 891, 365, 748, 433, 154, 34, 621, 592, 75, 466, 489, 488, 509, 494, 155, 907, 138, 542, 939, 206, 769, 913, 544, 741, 781, 478, 529, 762, 264, 472, 437, 404, 77, 9, 668, 909, 324, 869, 116, 27, 561, 461, 654, 367, 859, 425, 347, 209, 731, 140, 219, 72, 377, 124, 366, 502, 536, 294, 443, 488, 576, 15, 520, 958, 53, 611, 147, 645, 591, 139, 937, 183, 688, 585, 649, 66, 54, 274, 984, 612, 137, 659, 851, 260, 248, 649, 669, 274, 448, 993, 302, 793, 988, 399, 369, 500, 879, 847, 433, 277, 890, 819, 88, 718, 910, 720, 690, 781, 50, 102, 996, 100, 294, 264, 296, 656, 398, 820, 325, 211, 311, 168, 243, 701, 253, 332, 960, 679, 672, 786, 826, 904, 10, 565, 797, 986, 876, 116, 290, 307, 31, 238, 814, 198, 431, 656, 690, 835, 479, 90, 746, 355, 897, 567, 871, 452, 365, 257, 336, 86, 800, 252, 322, 808, 689, 288, 706, 520, 285, 446, 151, 497, 998, 889, 310, 688, 158, 82, 550, 480, 363, 599, 130, 902, 368, 448, 835, 243, 623, 719, 35, 300, 149, 360, 828, 93, 952, 64, 923, 638, 271, 882, 746, 693, 437, 652, 101, 205, 318, 641, 881, 162, 166, 932, 697, 64, 35, 792, 233, 846, 982, 308, 385, 63, 504, 459, 98, 283, 146, 561, 817, 799, 583, 506, 667, 802, 259, 848, 740, 887, 845, 274, 573, 304, 836, 344, 428, 263, 466, 251, 346, 976, 876, 33, 339, 969, 662, 314, 41, 816, 392, 564, 490, 559, 993, 409, 848, 831, 683, 408, 195, 979, 563, 620, 957, 994, 669, 636, 402, 683, 990, 942, 894, 880, 879, 429, 576, 770, 314, 968, 811, 661, 149, 162, 687, 141, 436, 522, 398, 808, 23, 657, 378, 241, 12, 41, 96, 181, 65, 635, 75, 731, 593, 618, 999, 350, 543, 32, 792, 618, 91, 167, 826, 873, 500, 839, 918, 436, 196, 310, 433, 696, 38, 985, 871, 618, 612, 19, 298, 303, 947, 855, 823, 606, 981, 626, 750, 469, 678, 479, 658, 983, 396, 964, 30, 163, 184, 412, 61, 671, 863, 214, 494, 69, 951, 424, 383, 234, 969, 892, 116, 464, 61, 139, 820, 455, 681, 391, 646, 80, 388, 134, 249, 105, 304, 469, 720, 518, 631, 384, 379, 244, 323, 434, 193, 851, 252, 287, 429, 328, 916, 710, 164, 664, 689, 964, 685, 956, 580, 789, 47, 125, 249, 662, 10, 642, 529, 45, 530, 620, 887, 380, 171, 791, 39, 943, 489, 136, 256, 860, 696, 270, 262, 86, 455, 643, 734, 293, 975, 918, 20, 667, 854, 154, 138, 752, 459, 498, 260, 775, 230, 474, 106, 162, 107, 654, 573, 807, 208, 181, 26, 211, 903, 15, 981, 47, 284, 596, 252, 748, 939, 667, 215, 292, 768, 74, 153, 465, 764, 270, 678, 94, 160, 900, 564, 98, 167, 70, 198, 20, 82, 533, 390, 89, 113, 708, 382, 485, 956, 145, 959, 28, 488, 350, 806, 900, 250, 437, 318, 357, 785, 977, 422, 228, 663, 219, 722, 584, 386, 99, 247, 490, 375, 569, 326, 974, 270, 473, 287, 316, 637, 418, 344, 427, 155, 323, 61, 780, 338, 399, 524, 112, 268, 656, 467, 186, 85, 852, 506, 134, 193, 592, 533, 857, 749, 963, 813, 878, 173, 214, 970, 178, 525, 134, 246, 795, 358, 639, 515, 706, 782, 139, 378, 275, 616, 318, 702, 609, 697, 519, 141, 932, 258, 587, 590, 946, 406, 180, 326, 869, 210, 302, 84, 366, 996, 983, 813, 439, 431, 687, 626, 506, 686, 434, 744, 181, 102, 32, 557, 273, 765, 547, 598, 955, 24, 845, 453, 781, 767, 51, 663, 72, 944, 747, 190, 247, 22, 700, 903, 26, 962, 657, 176, 174, 754, 131, 763, 514, 54, 743, 152, 383, 858, 748, 978, 547, 101, 234, 76, 283, 106, 610, 712, 518, 607, 947, 738, 946, 594, 921, 308, 881, 10, 397, 483, 63, 272, 201, 896, 807, 813, 814, 157, 249, 951, 623, 786, 691, 370, 209, 736, 176, 179, 379, 744, 815, 674, 184, 789, 369, 815, 502, 590, 582, 579, 715, 578, 489, 631, 130, 347, 223, 559, 356, 548, 687, 858, 834, 936, 86, 35, 573, 7, 254, 682, 740, 652, 976, 930, 56, 108, 520, 992, 590, 79, 952, 997, 508, 290, 58, 809, 741, 811, 287, 964, 538, 378, 232, 708, 391, 206, 579, 123, 117, 161, 868, 1, 63, 733, 681, 701, 277, 158, 351, 400, 285, 836, 148, 680, 412, 859, 663, 689, 461, 64, 948, 986, 621, 807, 686, 511, 264, 691, 876, 166, 325, 887, 182, 565, 674, 208, 519, 384, 114, 3, 361, 950, 337, 554, 530, 547, 416, 984, 317, 706, 248, 838, 456, 483, 362, 821, 638, 268, 308, 785, 312, 609, 647, 222, 592, 19, 466, 108, 122, 361, 169, 994, 284, 265, 73, 137, 77, 69, 451, 109, 444, 623, 766, 286, 40, 641, 995, 752, 493, 938, 788, 131, 485, 691, 474, 873, 897, 248, 13, 729, 497, 982, 507, 191, 932, 8, 524, 305, 693, 41, 221, 511, 532, 766, 342, 107, 225, 158, 637, 771, 522, 359, 747, 237, 867, 906, 508, 230, 22, 611, 911, 302, 768, 405, 916, 514, 21, 608, 483, 450, 699, 271, 280, 241, 598, 579, 867, 904, 631, 974, 479, 79, 647, 763, 68, 567, 201, 508, 388, 523, 90, 577, 626, 539, 504, 847, 469, 427, 485, 362, 530, 65, 676, 764, 191, 51, 583, 972, 710, 502, 4, 529, 775, 362, 306, 334, 335, 8, 688, 902, 606, 346, 228, 698, 557, 686, 159, 37, 755, 291, 123, 995, 567, 906, 387, 420, 829, 694, 633, 578, 138, 584, 267, 902, 285, 752, 166, 24, 718, 584, 392, 985, 337, 653, 12, 416, 180, 215, 559, 914, 464, 53, 949, 112, 434, 320, 359, 94, 324, 210, 960, 250, 382, 779, 183, 546, 664, 467, 59, 694, 682, 745, 341, 600, 292, 593, 358, 539, 258, 177, 354, 60, 941, 815, 117, 121, 431, 992, 65, 163, 890, 888, 271, 632, 58, 653, 870, 456, 24, 930, 764, 873, 768, 782, 176, 923, 261, 230, 533, 566, 851, 750, 941, 169, 772, 825, 87, 786, 981, 968, 901, 793, 930, 719, 58, 754, 459, 538, 277, 131, 857, 812, 463, 638, 554, 823, 797, 705, 880, 973, 363, 683, 514, 594, 499, 481, 669, 966, 12, 845, 522, 853, 628, 353, 121, 366, 979, 840, 109, 627, 444, 359, 457, 659, 191, 918, 962, 286, 998, 554, 182, 83, 179, 237, 591, 103, 231, 974, 950, 870, 548, 855, 254, 904, 304, 19, 358, 127, 330, 763, 912, 633, 827, 616, 678, 174, 635, 599, 429, 819, 798, 878, 425, 882, 257, 217, 383, 805, 986, 216, 137, 418, 996, 868, 716, 32, 513, 934, 543, 321, 341, 288, 261, 744, 988, 819, 917, 673, 219, 859, 422, 839, 513, 597, 355, 620, 920, 152, 966, 794, 916, 234, 615, 397, 193, 292, 402, 259, 290, 486, 4, 766, 854, 192, 966, 376, 593, 323, 352, 251, 497, 991, 196, 232, 389, 380, 475, 651, 20, 21, 827, 475, 673, 81, 673, 425, 184, 855, 799, 254, 541, 347, 852, 616, 453, 496, 405, 464, 83, 334, 453, 801, 700, 982, 128, 711, 164, 654, 658, 337, 244, 23, 100, 776, 334, 145, 911, 224, 409, 77, 772, 853, 670, 971, 912, 284, 645, 771, 2, 990, 785, 272, 259, 810, 179, 881, 105, 619, 78, 803, 931, 172, 50, 349, 659, 470, 428, 698, 532, 356, 561, 676, 25, 660, 742, 172, 444, 598, 124, 793, 987, 354, 800, 405, 685, 399, 943, 427, 800, 971, 91, 782, 478, 395, 223, 789, 310, 942, 973, 321, 442, 761, 587, 321, 392, 207, 553, 718, 340, 741, 156, 443, 170, 994, 652, 17, 368, 367, 42, 142, 231, 107, 954, 205, 371, 31, 296, 939, 636, 467, 621, 762, 151, 507, 838, 708, 260, 384, 597, 250, 606, 820, 696, 740, 511, 958, 662, 736, 370, 949, 105, 523}

    {751, 625, 773, 961, 935, 239, 96, 893, 738, 123, 574, 110, 282, 371, 841, 300, 517, 582, 56, 11, 85, 293, 825, 787, 282, 97, 92, 534, 46, 824, 132, 319, 644, 603, 386, 516, 589, 613, 927, 937, 186, 825, 377, 716, 97, 545, 447, 445, 850, 856, 449, 642, 477, 883, 104, 937, 595, 200, 758, 877, 218, 542, 842, 624, 21, 490, 195, 778, 495, 602, 410, 192, 346, 352, 419, 832, 872, 385, 452, 477, 695, 194, 185, 534, 725, 624, 866, 6, 87, 537, 82, 257, 408, 681, 70, 501, 770, 796, 115, 531, 925, 605, 629, 987, 385, 381, 482, 528, 93, 262, 456, 84, 572, 189, 614, 374, 770, 545, 796, 34, 357, 81, 52, 133, 499, 884, 505, 401, 670, 715, 295, 830, 877, 74, 0, 542, 801, 29, 841, 928, 866, 831, 622, 299, 115, 218, 850, 3, 240, 403, 945, 421, 864, 905, 226, 733, 296, 907, 394, 617, 282, 460, 945, 504, 119, 136, 76, 778, 731, 314, 833, 640, 822, 203, 635, 494, 71, 348, 512, 666, 487, 709, 120, 365, 291, 751, 912, 0, 228, 920, 171, 548, 412, 72, 333, 816, 915, 197, 190, 749, 957, 89, 649, 343, 824, 438, 544, 984, 361, 142, 81, 862, 519, 57, 849, 451, 389, 332, 801, 165, 338, 353, 435, 989, 784, 521, 57, 170, 442, 46, 44, 499, 977, 389, 773, 16, 783, 39, 18, 893, 199, 246, 404, 111, 445, 226, 849, 724, 549, 62, 758, 103, 555, 735, 460, 823, 110, 968, 588, 760, 309, 551, 628, 471, 435, 38, 802, 909, 22, 613, 798, 336, 648, 668, 393, 492, 170, 438, 637, 463, 597, 460, 713, 589, 419, 565, 135, 83, 227, 604, 52, 563, 674, 14, 349, 319, 297, 647, 603, 738, 780, 9, 493, 777, 29, 830, 827, 757, 235, 671, 125, 714, 396, 978, 929, 235, 540, 760, 503, 154, 938, 934, 424, 150, 972, 376, 202, 527, 457, 527, 67, 705, 110, 711, 707, 725, 709, 985, 610, 531, 16, 220, 908, 865, 1, 556, 375, 699, 360, 783, 759, 849, 692, 657, 295, 381, 558, 493, 677, 842, 11, 85, 345, 251, 505, 574, 829, 447, 556, 194, 133, 146, 238, 655, 713, 478, 841, 55, 717, 410, 896, 396, 732, 879, 38, 726, 650, 188, 462, 585, 441, 269, 919, 646, 651, 844, 367, 439, 861, 128, 404, 199, 315, 220, 7, 225, 279, 96, 884, 814, 60, 484, 822, 406, 273, 445, 315, 639, 832, 791, 227, 967, 653, 599, 693, 510, 129, 942, 537, 989, 954, 352, 454, 703, 927, 335, 49, 702, 157, 672, 203, 558, 790, 837, 42, 846, 343, 88, 934, 454, 187, 333, 266, 194, 563, 769, 276, 59, 370, 476, 516, 130, 818, 393, 331, 892, 960, 767, 527, 885, 454, 135, 967, 212, 66, 496, 329, 919, 730, 704, 614, 961, 278, 372, 804, 214, 625, 629, 313, 644, 646, 196, 345, 87, 401, 843, 874, 913, 301, 935, 588, 143, 329, 552, 765, 796, 894, 557, 516, 526, 963, 197, 175, 525, 3, 440, 643, 936, 633, 821, 178, 733, 736, 458, 327, 774, 926, 239, 317, 297, 552, 226, 103, 177, 787, 759, 817, 178, 303, 39, 670, 267, 998, 279, 165, 262, 62, 258, 970, 756, 750, 423, 92, 757, 424, 692, 977, 474, 60, 190, 745, 924, 885, 480, 401, 349, 400, 426, 755, 600, 999, 211, 952, 560, 512, 421, 732, 717, 28, 774, 276, 286, 237, 644, 679, 965, 926, 665, 455, 199, 185, 773, 415, 486, 816, 972, 89, 30, 204, 720, 923, 216, 171, 272, 322, 605, 239, 175, 261, 118, 810, 213, 59, 306, 555, 185, 501, 320, 95, 671, 17, 728, 840, 443, 411, 723, 867, 734, 995, 316, 297, 413, 921, 746, 832, 503, 173, 627, 805, 791, 419, 463, 737, 596, 757, 0, 331, 799, 312, 336, 730, 222, 157, 281, 418, 76, 634, 14, 571, 88, 560, 636, 411, 473, 804, 833, 833, 732, 570, 595, 840, 432, 737, 895, 351, 588, 872, 104, 555, 156, 853, 566, 512, 420, 568, 639, 737, 495, 299, 177, 491, 558, 417, 417, 78, 28, 886, 159, 871, 71, 877, 976, 25, 406, 629, 980, 43, 762, 218, 880, 280, 863, 400, 492, 753, 324, 374, 675, 664, 415, 861, 890, 57, 306, 203, 997, 197, 962, 390, 946, 758, 165, 901, 144, 372, 562, 339, 332, 327, 697, 241, 846, 536, 562, 543, 501, 888, 75, 1, 680, 309, 280, 756, 910, 7, 891, 940, 650, 973, 608, 189, 394, 703, 545, 160, 161, 568, 326, 549, 928, 578, 222, 48, 441, 66, 505, 711, 4, 236, 330, 376, 655, 784, 817, 727, 910, 615, 874, 309, 967, 586, 415, 225, 528, 229, 922, 114, 808, 581, 838, 721, 124, 421, 818, 232, 957, 144, 129, 403, 458, 62, 963, 135, 634, 828, 679, 570, 892, 739, 140, 955, 46, 774, 528, 113, 208, 212, 223, 486, 914, 379, 893, 74, 160, 43, 33, 546, 2, 317, 945, 462, 872, 735, 739, 726, 933, 152, 343, 381, 677, 329, 36, 553, 423, 70, 788, 837, 235, 843, 407, 265, 759, 742, 119, 408, 54, 172, 535, 484, 719, 536, 409, 518, 311, 281, 140, 253, 993, 978, 6, 828, 727, 624, 255, 842, 665, 875, 34, 745, 233, 95, 571, 906, 150, 570, 333, 386, 289, 777, 586, 298, 630, 550, 95, 821, 350, 856, 294, 141, 684, 969, 49, 753, 595, 402, 52, 802, 898, 132, 482, 714, 388, 857, 311, 991, 279, 734, 417, 164, 988, 920, 521, 44, 487, 200, 207, 473, 106, 884, 413, 477, 703, 844, 843, 84, 888, 517, 168, 695, 364, 640, 256, 200, 844, 787, 955, 102, 583, 430, 195, 430, 45, 67, 175, 862, 954, 895, 148, 852, 448, 560, 551, 666, 534, 684, 298, 315, 958, 795, 487, 926, 581, 6, 303, 120, 948, 572, 603, 959, 677, 839, 921, 255, 722, 188, 360, 111, 382, 885, 293, 729, 568, 236, 761, 276, 126, 240, 552, 928, 602, 491, 40, 206, 549, 640, 278, 933, 672, 729, 600, 48, 551, 695, 484, 938, 246, 925, 468, 749, 553, 307, 739, 538, 526, 571, 634, 288, 935, 886, 794, 182, 470, 353, 446, 717, 104, 153, 299, 414, 481, 975, 465, 377, 357, 515, 886, 810, 989, 500, 316, 795, 202, 722, 609, 204, 213, 794, 119, 965, 13, 651, 627, 943, 580, 496, 569, 944, 630, 395, 735, 869, 544, 278, 585, 205, 420, 546, 586, 355, 245, 236, 266, 917, 905, 468, 69, 475, 481, 462, 482, 188, 889, 779, 933, 422, 71, 16, 751, 917, 726, 36, 526, 761, 641, 509, 212, 537, 601, 882, 224, 14, 229, 163, 136, 498, 267, 925, 112, 860, 68, 931, 628, 217, 605, 724, 372, 899, 295, 115, 728, 617, 118, 713, 133, 301, 803, 875, 108, 125, 67, 987, 369, 132, 503, 283, 155, 147, 55, 790, 645, 192, 174, 432, 216, 525, 18, 780, 450, 632, 575, 510, 724, 342, 648, 783, 604, 936, 909, 340, 9, 676, 78, 790, 541, 342, 480, 596, 922, 492, 931, 856, 723, 161, 625, 344, 608, 319, 891, 440, 803, 829, 864, 830, 901, 345, 186, 118, 395, 301, 614, 812, 374, 340, 256, 449, 465, 582, 566, 883, 550, 765, 27, 121, 947, 269, 515, 922, 919, 507, 630, 183, 619, 266, 607, 338, 589, 580, 950, 905, 201, 426, 878, 632, 650, 860, 728, 953, 990, 312, 714, 426, 371, 207, 94, 915, 229, 727, 575, 760, 776, 407, 556, 915, 5, 2, 476, 281, 189, 414, 798, 242, 265, 777, 643, 126, 660, 220, 576, 710, 899, 864, 715, 27, 834, 648, 221, 209, 540, 48, 73, 907, 147, 31, 313, 11, 971, 111, 458, 432, 929, 242, 704, 5, 471, 240, 15, 944, 414, 122, 413, 335, 521, 865, 540, 899, 289, 268, 730, 980, 535, 837, 970, 447, 948, 824, 771, 273, 423, 684, 997, 13, 92, 666, 591, 929, 965, 441, 330, 532, 709, 665, 18, 747, 117, 224, 862, 245, 975, 150, 861, 470, 126, 498, 348, 983, 721, 913, 373, 574, 213, 723, 702, 221, 601, 615, 940, 449, 393, 883, 941, 289, 903, 435, 410, 187, 822, 202, 927, 562, 865, 233, 721, 471, 99, 245, 263, 122, 348, 680, 148, 8, 56, 55, 572, 30, 331, 704, 510, 601, 610, 168, 275, 792, 788, 327, 953, 26, 127, 373, 875, 217, 149, 430, 416, 100, 575, 531, 517, 660, 604, 617, 167, 128, 373, 612, 700, 29, 468, 577, 804, 129, 356, 439, 541, 73, 911, 870, 438, 898, 784, 36, 836, 898, 491, 914, 716, 450, 655, 707, 144, 351, 322, 143, 772, 854, 675, 564, 390, 457, 307, 47, 675, 908, 999, 755, 753, 364, 896, 535, 5, 602, 394, 50, 120, 895, 44, 661, 476, 187, 99, 411, 25, 661, 173, 607, 49, 33, 756, 440, 243, 354, 495, 364, 850, 113, 581, 269, 407, 940, 889}

    Returns: {0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0 }

  100. 1000

    {997, 126, 988, 653, 948, 508, 968, 380, 295, 826, 92, 947, 663, 784, 168, 96, 985, 714, 559, 36, 716, 124, 803, 929, 819, 391, 43, 250, 53, 501, 643, 202, 395, 958, 686, 204, 757, 99, 469, 44, 910, 800, 993, 207, 174, 850, 858, 560, 621, 413, 736, 659, 819, 874, 489, 667, 27, 520, 211, 396, 48, 117, 155, 53, 180, 112, 394, 132, 100, 344, 43, 428, 584, 652, 782, 202, 316, 524, 615, 482, 212, 382, 641, 203, 639, 381, 128, 730, 933, 627, 164, 210, 235, 736, 534, 546, 884, 211, 563, 382, 209, 279, 930, 502, 963, 922, 341, 533, 658, 183, 150, 509, 851, 265, 656, 782, 730, 934, 806, 445, 770, 945, 632, 929, 808, 610, 985, 421, 844, 522, 780, 180, 607, 890, 945, 369, 390, 851, 842, 331, 730, 602, 299, 253, 700, 58, 494, 32, 691, 408, 951, 247, 539, 936, 475, 49, 125, 97, 317, 259, 402, 262, 360, 83, 56, 250, 750, 501, 141, 321, 985, 227, 877, 609, 920, 142, 631, 692, 98, 0, 826, 820, 377, 989, 306, 364, 18, 902, 603, 162, 493, 471, 347, 602, 957, 306, 244, 595, 863, 665, 676, 79, 556, 529, 717, 834, 293, 588, 85, 958, 401, 224, 537, 845, 470, 829, 315, 562, 703, 261, 436, 404, 31, 898, 389, 478, 579, 482, 881, 154, 265, 380, 412, 793, 322, 399, 153, 40, 225, 380, 564, 347, 106, 449, 883, 418, 89, 913, 953, 668, 82, 67, 832, 434, 315, 516, 749, 903, 872, 560, 832, 621, 726, 437, 113, 209, 242, 183, 464, 193, 452, 645, 732, 988, 504, 680, 37, 163, 319, 368, 850, 253, 980, 807, 518, 278, 852, 676, 462, 746, 217, 364, 950, 583, 580, 993, 654, 884, 479, 943, 531, 200, 342, 258, 577, 743, 987, 291, 716, 485, 841, 843, 679, 961, 359, 949, 521, 9, 744, 373, 931, 602, 423, 903, 349, 659, 914, 299, 783, 69, 160, 312, 76, 927, 341, 75, 429, 99, 665, 551, 306, 411, 590, 941, 671, 140, 854, 611, 365, 453, 711, 824, 303, 488, 648, 13, 229, 357, 980, 427, 714, 528, 310, 558, 40, 751, 747, 566, 797, 392, 441, 342, 723, 947, 19, 599, 436, 801, 327, 513, 103, 502, 834, 669, 240, 405, 367, 742, 609, 564, 239, 478, 872, 167, 75, 755, 928, 132, 590, 495, 373, 921, 499, 656, 773, 43, 951, 485, 208, 973, 747, 197, 328, 762, 767, 633, 133, 318, 378, 808, 244, 33, 144, 696, 57, 804, 691, 381, 729, 405, 79, 960, 634, 472, 936, 322, 109, 309, 189, 269, 243, 888, 563, 79, 38, 876, 150, 983, 844, 258, 767, 199, 694, 425, 653, 182, 14, 979, 398, 690, 746, 818, 422, 684, 762, 511, 486, 694, 642, 225, 641, 152, 721, 406, 326, 914, 200, 88, 843, 534, 250, 180, 656, 107, 906, 899, 196, 920, 119, 695, 516, 991, 143, 352, 379, 627, 811, 634, 194, 498, 593, 403, 294, 907, 835, 331, 455, 566, 493, 827, 800, 660, 594, 505, 868, 116, 24, 171, 106, 649, 65, 814, 434, 422, 855, 328, 949, 262, 179, 528, 26, 994, 324, 944, 383, 114, 249, 725, 847, 45, 829, 90, 471, 529, 609, 834, 666, 698, 663, 211, 307, 244, 111, 511, 781, 856, 467, 245, 967, 645, 255, 625, 418, 358, 976, 490, 832, 699, 314, 288, 876, 610, 690, 485, 717, 625, 414, 908, 682, 173, 961, 718, 588, 840, 461, 916, 729, 916, 903, 733, 571, 130, 858, 203, 996, 570, 197, 687, 132, 255, 857, 165, 562, 812, 264, 498, 490, 178, 557, 398, 5, 592, 192, 224, 646, 549, 800, 202, 673, 901, 337, 636, 763, 741, 357, 13, 598, 650, 626, 798, 611, 839, 994, 332, 920, 693, 921, 775, 75, 823, 698, 984, 279, 742, 136, 102, 587, 833, 270, 352, 240, 59, 96, 771, 321, 339, 918, 736, 90, 858, 362, 954, 147, 598, 302, 209, 107, 451, 422, 669, 277, 456, 591, 855, 849, 330, 828, 900, 128, 313, 570, 960, 984, 434, 559, 208, 976, 460, 19, 642, 91, 249, 517, 850, 839, 655, 46, 717, 679, 161, 977, 156, 278, 68, 839, 317, 520, 6, 267, 316, 39, 263, 186, 359, 401, 280, 392, 807, 883, 547, 205, 60, 384, 910, 953, 888, 323, 530, 466, 138, 62, 652, 863, 639, 319, 580, 48, 279, 725, 747, 710, 327, 897, 117, 266, 430, 378, 94, 933, 381, 539, 579, 811, 360, 436, 619, 674, 51, 114, 470, 504, 24, 870, 41, 188, 77, 93, 807, 304, 123, 652, 689, 933, 749, 709, 899, 473, 7, 212, 569, 740, 371, 741, 714, 696, 82, 569, 993, 759, 619, 391, 403, 154, 226, 108, 622, 909, 492, 861, 752, 50, 921, 542, 770, 301, 647, 758, 50, 268, 521, 902, 151, 157, 326, 433, 392, 194, 77, 310, 798, 210, 693, 939, 633, 187, 607, 582, 192, 842, 657, 156, 67, 34, 382, 649, 617, 475, 499, 341, 529, 836, 864, 795, 777, 429, 760, 333, 511, 28, 188, 154, 710, 696, 34, 763, 461, 871, 142, 561, 235, 421, 758, 157, 798, 53, 232, 267, 669, 572, 655, 234, 276, 242, 931, 644, 988, 923, 146, 913, 701, 620, 689, 125, 655, 474, 304, 846, 654, 412, 996, 222, 412, 484, 59, 474, 795, 444, 961, 52, 813, 901, 375, 139, 645, 45, 802, 823, 265, 215, 130, 304, 725, 748, 100, 423, 994, 133, 508, 288, 38, 852, 372, 167, 13, 919, 32, 232, 194, 210, 591, 480, 397, 724, 804, 902, 269, 297, 996, 297, 724, 368, 187, 111, 77, 71, 559, 260, 204, 61, 509, 770, 970, 349, 67, 650, 629, 58, 565, 894, 190, 763, 872, 943, 214, 931, 245, 330, 781, 109, 974, 682, 479, 227, 619, 500, 185, 24, 163, 746, 160, 917, 750, 113, 267, 556, 716, 331, 51, 68, 56, 731, 775, 105, 974, 816, 159, 329, 708, 977, 145, 64, 221, 363, 357, 61, 646, 922, 979, 976, 979, 445, 179, 160, 339, 797, 365, 215, 442, 215, 475, 573, 740, 240, 922, 978, 646, 203, 64, 708, 919, 222, 492, 690, 648, 208, 405, 755, 149, 966, 396, 408, 226, 777, 784, 435, 128, 342, 473, 556, 664, 814, 544, 557, 564, 68, 174, 57, 570, 924, 741, 275, 784, 32, 802, 536, 414, 167, 929, 538, 597, 170, 362, 569, 361, 50, 214, 830, 281, 39, 552, 347, 338, 299, 249, 102, 829, 71, 926, 302, 707, 182, 507, 263, 958, 397, 429, 640, 587, 397, 900, 71, 158, 428, 647, 576, 848, 484, 413, 500, 188, 568, 28, 270, 116, 224, 663, 264, 802, 269, 828, 222, 907, 732, 161, 316, 423, 227, 426, 572, 804, 253, 506, 561, 777, 926, 247, 614, 735, 58, 37, 185, 129, 546, 414, 3, 42, 792, 258, 493, 140, 856, 864, 150, 89, 507, 247, 314, 184, 917, 379, 96, 148, 878, 854, 670, 469, 338, 934, 220, 544, 847, 36, 352, 671, 944, 519, 791, 757, 373, 9, 947, 416, 113, 689, 198, 757, 420, 792, 935, 315, 673, 479, 940, 679, 664, 855, 614, 157, 913, 513, 620, 46, 168, 791, 488, 302, 18, 603, 5, 819, 311, 750, 668, 204, 512, 606, 753, 467, 594, 711, 492, 613, 751, 975, 594, 324, 530, 343, 76, 584, 159, 94, 561, 715, 723, 114, 145, 38, 524, 617, 238, 654, 349, 632, 827, 787, 277, 613, 0, 715, 232, 876, 951, 6, 908, 724, 580, 307, 288, 103, 820, 648, 106, 941, 535, 95, 426, 309, 263, 498, 796, 963, 343, 451, 944, 432, 565, 769, 731, 897, 344, 356, 610, 424, 229, 85, 318, 482, 999, 105, 445, 640, 107, 806, 49, 521, 626, 45, 76, 309, 46, 874, 90, 748, 682, 799, 183, 614, 789, 615, 453, 844, 116, 257, 39, 999, 172, 877, 197, 625, 148, 667, 744, 969, 836, 991, 664, 672, 553, 435, 520, 574, 740, 376, 478, 957, 772, 95, 310, 49, 685, 338, 99, 923, 762, 246, 809, 516, 86, 126, 474, 675, 589, 856, 709, 981, 821, 613, 595, 121, 48, 449, 334, 134, 846, 442, 659, 119, 704, 319, 598, 321, 524, 838, 756, 97, 238, 495, 538, 547, 110, 19, 959, 868, 98, 294, 191, 35, 797, 751, 411, 581, 372, 190, 442, 270, 587, 311, 852, 367, 900, 301, 70, 375, 112, 908, 603, 841, 140, 544, 744, 874, 219, 254, 584, 599, 812, 573, 992, 502, 284, 199, 501, 633, 148, 898, 828, 981, 928, 78, 843, 284, 384, 364, 93, 178, 595, 108, 634, 684, 795, 95, 438, 358, 384, 964, 639, 234, 313, 226, 776, 992, 428, 490, 748, 592, 936, 566, 64, 692, 999, 565, 470, 343, 98, 854, 444, 687, 773, 576, 484, 949, 629, 622, 266, 636, 636, 126, 35, 764, 601, 776, 684, 939, 296, 158, 462, 187, 661, 108, 365, 954, 721, 453, 284, 362, 590, 904, 668, 438}

    {463, 574, 877, 450, 541, 213, 5, 859, 283, 138, 335, 449, 729, 109, 885, 927, 178, 27, 712, 909, 420, 805, 251, 80, 825, 536, 822, 666, 35, 723, 895, 768, 859, 837, 579, 546, 745, 932, 810, 37, 986, 169, 969, 615, 543, 281, 833, 231, 861, 911, 540, 822, 251, 458, 526, 505, 63, 670, 260, 965, 514, 718, 867, 604, 84, 276, 201, 55, 879, 551, 962, 753, 497, 912, 680, 123, 143, 848, 785, 173, 589, 231, 896, 9, 360, 155, 895, 73, 334, 3, 473, 889, 171, 873, 631, 880, 990, 427, 972, 361, 896, 477, 637, 629, 815, 198, 399, 971, 811, 144, 575, 62, 905, 767, 841, 29, 674, 965, 88, 573, 454, 81, 785, 78, 280, 480, 369, 87, 225, 749, 400, 388, 26, 914, 686, 953, 758, 866, 337, 256, 626, 997, 383, 366, 605, 532, 185, 605, 376, 635, 480, 506, 518, 289, 421, 296, 638, 880, 335, 234, 446, 555, 518, 693, 440, 530, 631, 387, 765, 818, 122, 33, 12, 766, 286, 7, 596, 337, 995, 950, 417, 464, 791, 875, 254, 586, 115, 875, 292, 697, 220, 760, 510, 177, 494, 72, 508, 437, 568, 272, 458, 236, 273, 794, 433, 637, 863, 308, 893, 62, 925, 477, 794, 264, 974, 31, 860, 543, 481, 826, 778, 734, 534, 15, 628, 536, 456, 262, 711, 774, 704, 112, 620, 73, 575, 851, 320, 17, 282, 91, 82, 600, 51, 816, 512, 60, 303, 722, 771, 336, 345, 10, 662, 30, 254, 657, 332, 801, 956, 869, 691, 672, 862, 366, 186, 298, 286, 738, 158, 915, 6, 606, 31, 720, 205, 575, 356, 968, 52, 10, 359, 878, 789, 260, 111, 783, 20, 336, 927, 486, 374, 285, 348, 705, 177, 550, 398, 376, 20, 971, 543, 793, 781, 865, 630, 836, 16, 242, 820, 394, 134, 555, 768, 454, 526, 866, 206, 878, 918, 444, 162, 608, 256, 578, 707, 101, 705, 235, 18, 607, 466, 782, 151, 169, 681, 241, 995, 726, 506, 934, 779, 612, 969, 505, 567, 12, 165, 522, 243, 217, 817, 350, 917, 838, 322, 946, 205, 281, 233, 340, 191, 175, 415, 85, 809, 379, 499, 700, 151, 318, 168, 805, 346, 937, 87, 533, 780, 93, 987, 525, 552, 549, 658, 293, 743, 161, 447, 285, 638, 940, 632, 766, 391, 831, 765, 697, 760, 339, 904, 683, 918, 472, 236, 553, 237, 60, 948, 968, 42, 166, 514, 325, 688, 901, 152, 515, 545, 522, 23, 739, 217, 122, 527, 533, 386, 517, 596, 692, 597, 464, 761, 286, 593, 325, 542, 66, 780, 788, 378, 778, 943, 246, 952, 737, 644, 328, 395, 410, 149, 293, 193, 390, 873, 706, 618, 220, 40, 995, 675, 515, 182, 572, 586, 298, 335, 416, 956, 540, 535, 554, 497, 812, 712, 899, 124, 552, 21, 174, 295, 135, 389, 164, 764, 0, 991, 233, 467, 86, 300, 451, 550, 275, 130, 765, 92, 882, 930, 491, 189, 941, 176, 287, 527, 477, 722, 623, 938, 461, 125, 793, 47, 806, 355, 563, 494, 127, 893, 290, 862, 173, 4, 752, 455, 450, 452, 162, 681, 935, 246, 532, 887, 735, 177, 228, 271, 984, 532, 166, 706, 350, 756, 425, 196, 332, 468, 785, 476, 230, 624, 554, 402, 388, 131, 439, 290, 754, 189, 70, 688, 955, 72, 698, 83, 597, 815, 417, 363, 539, 228, 583, 581, 541, 393, 585, 303, 230, 70, 252, 773, 465, 289, 792, 4, 739, 983, 738, 118, 136, 733, 954, 883, 176, 980, 925, 710, 989, 166, 990, 223, 962, 11, 972, 1, 419, 456, 193, 261, 387, 16, 135, 201, 410, 120, 680, 986, 823, 998, 367, 835, 975, 57, 624, 651, 987, 435, 28, 657, 790, 705, 141, 905, 136, 998, 681, 728, 779, 957, 967, 440, 42, 172, 825, 907, 904, 754, 548, 660, 495, 734, 881, 97, 152, 406, 387, 879, 417, 431, 790, 317, 406, 101, 651, 20, 752, 562, 703, 348, 783, 618, 195, 930, 278, 489, 184, 388, 329, 163, 964, 643, 446, 624, 970, 950, 199, 702, 439, 346, 355, 459, 496, 708, 831, 487, 630, 810, 386, 824, 89, 198, 283, 568, 940, 845, 704, 753, 390, 728, 184, 273, 2, 771, 301, 548, 385, 437, 925, 399, 313, 733, 271, 755, 255, 774, 567, 33, 886, 131, 666, 137, 55, 372, 366, 737, 259, 353, 463, 268, 29, 221, 195, 65, 432, 134, 389, 11, 667, 582, 707, 272, 452, 323, 895, 207, 377, 213, 810, 200, 720, 816, 487, 517, 623, 641, 694, 261, 525, 139, 340, 411, 330, 54, 889, 665, 216, 881, 47, 374, 117, 821, 551, 63, 354, 774, 190, 599, 801, 541, 370, 604, 727, 956, 415, 577, 942, 459, 860, 942, 611, 842, 586, 616, 973, 650, 992, 354, 821, 938, 86, 977, 110, 118, 407, 887, 830, 358, 537, 23, 867, 891, 612, 181, 964, 764, 700, 647, 80, 928, 906, 867, 742, 571, 223, 849, 809, 283, 356, 186, 268, 488, 216, 26, 644, 8, 528, 408, 426, 880, 897, 946, 223, 16, 329, 463, 400, 139, 787, 274, 476, 142, 124, 982, 975, 743, 574, 879, 567, 54, 761, 759, 525, 201, 66, 443, 229, 25, 404, 491, 120, 786, 982, 799, 472, 468, 104, 17, 612, 686, 363, 172, 65, 81, 448, 355, 952, 986, 651, 27, 137, 300, 159, 30, 906, 8, 869, 138, 606, 416, 972, 78, 593, 817, 868, 685, 531, 558, 833, 63, 374, 674, 608, 857, 476, 147, 121, 978, 410, 231, 252, 145, 630, 61, 383, 237, 775, 719, 34, 54, 308, 912, 214, 824, 176, 394, 386, 545, 287, 282, 887, 146, 718, 540, 443, 583, 350, 289, 457, 745, 500, 393, 545, 345, 153, 25, 443, 677, 41, 447, 805, 164, 959, 291, 745, 409, 294, 892, 221, 459, 585, 153, 790, 118, 596, 256, 840, 401, 935, 548, 932, 419, 713, 789, 959, 983, 581, 503, 555, 853, 312, 865, 181, 713, 889, 662, 577, 129, 869, 788, 635, 305, 282, 239, 248, 41, 496, 720, 919, 80, 308, 483, 701, 354, 218, 15, 768, 864, 14, 840, 440, 276, 971, 115, 794, 592, 91, 457, 813, 688, 307, 960, 120, 554, 703, 911, 849, 385, 115, 271, 84, 739, 44, 370, 924, 526, 8, 952, 818, 155, 627, 179, 591, 965, 213, 510, 17, 538, 454, 219, 69, 486, 719, 292, 962, 375, 910, 715, 291, 547, 327, 305, 21, 105, 946, 830, 175, 701, 687, 191, 110, 519, 127, 257, 370, 207, 509, 326, 402, 787, 88, 769, 101, 218, 420, 469, 143, 761, 846, 460, 831, 348, 10, 865, 661, 523, 890, 312, 719, 695, 955, 84, 699, 848, 859, 662, 465, 786, 102, 122, 661, 531, 697, 808, 403, 871, 147, 727, 415, 799, 462, 857, 909, 441, 396, 333, 137, 882, 939, 837, 576, 320, 404, 926, 243, 29, 989, 550, 702, 924, 621, 3, 455, 233, 835, 912, 59, 237, 738, 582, 129, 766, 248, 601, 870, 56, 14, 796, 1, 585, 219, 300, 273, 892, 981, 893, 885, 588, 266, 649, 274, 74, 822, 589, 11, 345, 447, 36, 104, 228, 15, 923, 104, 448, 496, 973, 323, 216, 604, 845, 277, 699, 937, 320, 990, 769, 483, 238, 671, 206, 22, 287, 241, 866, 169, 425, 847, 712, 608, 7, 460, 523, 481, 74, 21, 628, 966, 369, 803, 441, 997, 643, 942, 571, 675, 827, 292, 127, 515, 658, 731, 503, 670, 955, 487, 192, 861, 121, 966, 324, 340, 94, 890, 74, 395, 12, 915, 368, 195, 22, 123, 170, 430, 448, 346, 702, 81, 886, 385, 937, 336, 735, 553, 275, 776, 344, 236, 967, 623, 537, 295, 837, 605, 170, 393, 803, 519, 892, 916, 73, 642, 932, 853, 55, 290, 938, 409, 728, 886, 206, 314, 683, 371, 400, 635, 103, 311, 685, 274, 888, 407, 181, 248, 212, 165, 431, 618, 483, 146, 870, 513, 678, 432, 616, 713, 353, 135, 468, 885, 709, 514, 334, 503, 815, 196, 407, 722, 601, 230, 560, 450, 616, 817, 361, 884, 2, 144, 141, 678, 673, 683, 297, 471, 737, 296, 891, 351, 695, 788, 860, 218, 419, 119, 507, 660, 945, 905, 732, 69, 578, 47, 257, 458, 727, 558, 504, 325, 446, 754, 353, 1, 734, 706, 772, 677, 871, 431, 4, 438, 100, 638, 911, 853, 83, 371, 873, 948, 66, 23, 239, 439, 862, 796, 133, 171, 413, 72, 298, 978, 915, 637, 466, 351, 894, 92, 305, 600, 786, 333, 259, 549, 252, 898, 813, 640, 489, 814, 578, 409, 280, 982, 2, 481, 156, 424, 523, 875, 557, 418, 377, 131, 149, 617, 44, 542, 527, 535, 963, 894, 245, 600, 241, 672, 628, 251, 677, 721, 427, 430, 52, 756, 970, 424, 272, 838, 351, 779, 175, 433, 882, 772, 759, 457, 30, 497, 896, 678, 825, 465, 998, 491, 22, 87, 25, 512, 891, 778, 510, 622, 285, 653, 676, 726}

    Returns: {0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0 }

  101. 1000

    {19, 182, 440, 431, 192, 782, 659, 541, 610, 385, 782, 191, 736, 253, 51, 427, 976, 992, 136, 272, 507, 471, 561, 72, 575, 314, 531, 8, 229, 619, 8, 486, 374, 292, 140, 332, 933, 748, 919, 946, 371, 904, 256, 726, 150, 902, 809, 603, 174, 162, 376, 550, 778, 222, 38, 862, 913, 434, 52, 276, 754, 262, 891, 571, 608, 920, 688, 272, 613, 310, 230, 773, 455, 701, 306, 808, 394, 391, 790, 158, 838, 208, 564, 821, 3, 516, 685, 965, 741, 882, 138, 268, 208, 552, 589, 50, 990, 316, 456, 436, 124, 452, 148, 860, 823, 663, 949, 756, 761, 426, 12, 246, 217, 921, 140, 653, 862, 850, 612, 634, 178, 342, 481, 551, 281, 165, 693, 22, 528, 83, 261, 338, 814, 426, 960, 16, 304, 159, 151, 766, 370, 725, 884, 875, 271, 885, 555, 459, 115, 948, 961, 477, 713, 907, 85, 578, 658, 709, 227, 929, 386, 130, 779, 343, 596, 711, 194, 499, 488, 850, 83, 36, 792, 602, 290, 594, 870, 842, 537, 400, 216, 532, 689, 773, 586, 845, 375, 568, 233, 326, 488, 199, 928, 795, 962, 154, 30, 203, 859, 880, 124, 405, 857, 110, 853, 524, 992, 433, 476, 204, 622, 579, 113, 39, 356, 499, 191, 593, 617, 451, 759, 5, 927, 188, 143, 493, 171, 912, 131, 14, 640, 865, 502, 261, 279, 755, 772, 806, 404, 595, 33, 241, 188, 654, 169, 756, 735, 178, 910, 342, 843, 818, 167, 245, 475, 144, 345, 406, 906, 22, 775, 792, 986, 769, 756, 371, 324, 291, 599, 103, 594, 226, 379, 330, 136, 125, 409, 397, 323, 614, 772, 975, 960, 296, 726, 114, 411, 75, 627, 154, 104, 707, 755, 511, 982, 362, 216, 631, 401, 462, 609, 814, 651, 384, 118, 170, 146, 419, 427, 250, 190, 135, 901, 165, 26, 662, 221, 349, 681, 235, 952, 937, 25, 909, 84, 144, 920, 677, 132, 21, 417, 422, 157, 266, 969, 740, 786, 504, 73, 917, 502, 231, 611, 956, 964, 155, 95, 899, 944, 370, 491, 294, 556, 411, 338, 59, 335, 802, 961, 138, 924, 103, 30, 294, 95, 43, 904, 142, 291, 957, 15, 848, 592, 783, 318, 389, 823, 817, 889, 132, 186, 148, 113, 395, 363, 689, 676, 834, 117, 88, 594, 638, 967, 622, 153, 212, 890, 329, 711, 100, 888, 764, 68, 7, 18, 507, 11, 716, 973, 997, 759, 25, 831, 440, 652, 303, 365, 365, 692, 967, 706, 127, 432, 713, 268, 679, 386, 813, 844, 848, 208, 563, 192, 969, 159, 537, 207, 133, 375, 330, 277, 25, 334, 455, 694, 862, 692, 117, 6, 445, 648, 276, 357, 943, 595, 100, 504, 647, 827, 719, 126, 549, 214, 698, 558, 476, 78, 452, 270, 847, 732, 263, 379, 425, 632, 809, 852, 586, 607, 840, 40, 250, 627, 505, 469, 506, 137, 344, 745, 855, 496, 262, 255, 360, 405, 809, 619, 391, 324, 610, 838, 796, 39, 913, 228, 838, 246, 64, 222, 393, 601, 240, 176, 159, 119, 116, 924, 10, 554, 459, 546, 12, 599, 124, 358, 352, 957, 122, 804, 556, 774, 942, 87, 726, 399, 795, 439, 227, 378, 157, 343, 861, 533, 391, 276, 889, 526, 731, 2, 26, 401, 914, 654, 825, 646, 599, 888, 340, 877, 212, 96, 956, 754, 723, 3, 737, 292, 496, 290, 670, 870, 180, 827, 35, 714, 22, 671, 864, 824, 24, 501, 647, 638, 13, 728, 514, 355, 327, 274, 284, 880, 571, 624, 283, 203, 133, 349, 528, 353, 840, 879, 366, 283, 381, 601, 674, 836, 682, 989, 713, 889, 764, 780, 228, 460, 484, 697, 556, 762, 174, 905, 473, 181, 858, 441, 873, 580, 854, 339, 330, 946, 986, 108, 143, 704, 475, 784, 492, 38, 507, 488, 934, 738, 511, 993, 824, 26, 991, 306, 652, 553, 857, 927, 303, 154, 257, 221, 546, 301, 108, 449, 716, 886, 299, 518, 536, 237, 916, 378, 783, 387, 88, 87, 598, 345, 173, 786, 907, 630, 657, 439, 934, 254, 774, 337, 299, 267, 609, 902, 996, 432, 115, 36, 676, 87, 194, 340, 856, 548, 117, 74, 61, 565, 833, 727, 370, 530, 553, 60, 457, 585, 617, 654, 714, 743, 40, 918, 317, 781, 394, 380, 945, 736, 600, 912, 457, 97, 173, 705, 121, 364, 101, 8, 596, 434, 545, 89, 92, 54, 875, 499, 534, 718, 306, 823, 720, 783, 130, 47, 243, 614, 617, 360, 643, 278, 389, 403, 675, 310, 881, 264, 865, 698, 402, 257, 545, 741, 134, 813, 589, 174, 501, 139, 763, 529, 296, 578, 957, 800, 728, 660, 148, 167, 282, 368, 308, 459, 263, 917, 593, 17, 601, 568, 677, 676, 584, 842, 906, 165, 629, 573, 832, 177, 630, 914, 801, 942, 850, 821, 624, 75, 436, 609, 532, 111, 409, 88, 501, 38, 368, 560, 925, 475, 746, 681, 316, 532, 162, 282, 175, 241, 900, 876, 436, 155, 201, 28, 859, 679, 899, 187, 869, 892, 57, 340, 776, 546, 579, 403, 210, 474, 24, 680, 655, 846, 335, 162, 710, 94, 139, 629, 428, 85, 983, 210, 817, 662, 18, 492, 137, 668, 187, 506, 138, 548, 795, 913, 737, 645, 974, 234, 458, 629, 872, 450, 784, 971, 215, 215, 764, 53, 376, 926, 502, 534, 243, 19, 75, 472, 472, 529, 658, 790, 759, 575, 802, 404, 694, 898, 966, 954, 890, 790, 53, 891, 554, 44, 663, 855, 139, 995, 918, 79, 737, 741, 349, 758, 733, 461, 966, 245, 971, 189, 242, 68, 122, 644, 993, 116, 496, 514, 605, 956, 560, 394, 755, 298, 29, 57, 600, 987, 308, 861, 844, 460, 195, 81, 562, 858, 40, 371, 876, 734, 66, 244, 428, 633, 388, 427, 57, 193, 314, 671, 303, 736, 288, 222, 341, 841, 740, 684, 55, 311, 856, 533, 491, 800, 395, 719, 927, 864, 122, 991, 743, 347, 120, 729, 113, 570, 832, 467, 699, 607, 727, 593, 545, 717, 685, 929, 681, 812, 666, 519, 732, 724, 700, 902, 481, 128, 882, 590, 147, 561, 840, 61, 268, 590, 204, 881, 634, 456, 834, 534, 533, 248, 444, 273, 587, 305, 489, 513, 984, 628, 211, 776, 473, 210, 128, 235, 963, 686, 961, 946, 239, 316, 582, 751, 381, 482, 326, 587, 831, 882, 776, 555, 983, 136, 832, 211, 949, 678, 471, 836, 458, 214, 565, 800, 666, 400, 605, 33, 233, 119, 216, 171, 470, 230, 831, 522, 762, 806, 517, 942, 565, 100, 684, 74, 894, 471, 342, 98, 686, 317, 279, 335, 463, 120, 644, 932, 751, 412, 251, 867, 456, 722, 182, 907, 441, 251, 536, 52, 524, 602, 693, 96, 865, 579, 521, 644, 628, 16, 207, 175, 292, 491, 521, 189, 444, 919, 970, 864, 903, 789, 187, 397, 388, 417, 989, 105, 109, 254, 645, 393, 919, 745, 552, 958, 231, 570, 493, 110, 127, 954, 414, 402, 355, 402, 103, 995, 365, 523, 364, 738, 566, 250, 249, 695, 615, 201, 259, 163, 458, 811, 158, 417, 324, 29, 779, 415, 50, 109, 962, 552, 374, 73, 74, 696, 66, 892, 229, 477, 692, 939, 871, 856, 392, 17, 334, 971, 522, 486, 51, 994, 5, 288, 150, 567, 757, 527, 328, 723, 422, 84, 640, 146, 873, 731, 248, 375, 605, 104, 732, 158, 147, 337, 551, 258, 572, 769, 415, 18, 951, 161, 661, 885, 86, 876, 82, 914, 247, 347, 350, 636, 606, 226, 657, 930, 670, 808, 874, 674, 404, 72, 875, 624, 791, 178, 550, 968, 468, 194, 486, 44, 975, 930, 505, 817, 661, 661, 802, 754, 514, 810, 553, 815, 704, 763, 825, 613, 622, 639, 290, 377, 833, 522, 786, 576, 368, 896, 632, 468, 964, 468, 765, 386, 53, 881, 24, 991, 721, 714, 873, 953, 506, 767, 651, 895, 3, 259, 905, 788, 474, 989, 257, 256, 299, 923, 774, 377, 835, 383, 734, 260, 157, 191, 428, 105, 449, 924, 639, 47, 302, 217, 273, 364, 305, 815, 85, 67, 983, 56, 510, 291, 380, 688, 695, 813, 347, 107, 968, 598, 992, 888, 411, 810, 511, 311, 393, 483, 261, 442, 305, 880, 9, 640, 98, 353, 699, 413, 44, 518, 236, 451, 226, 738, 55, 395, 884, 72, 434, 590, 13, 28, 621, 969, 204, 236, 108, 247, 723, 17, 94, 146, 116, 477, 16, 239, 326, 952, 520, 767, 935, 746, 779, 421, 163, 52, 66, 367, 220, 937, 548, 281, 406, 935, 357, 472, 874, 215, 504, 549, 751, 233, 686, 703, 338, 677, 953, 887, 588, 699, 695, 235, 474, 294, 554, 767, 463, 296, 207, 651, 137, 251, 555, 224, 696, 940, 422, 897, 933, 435, 575, 993, 844, 131, 550, 217, 133, 358, 543, 464, 898, 618, 254, 932, 198, 282, 423, 173, 925, 619, 214, 693, 188, 383, 918, 589, 271, 740, 384, 272, 933, 451, 339, 462, 431, 355, 313, 897, 151}

    {573, 916, 224, 438, 45, 7, 141, 679, 126, 447, 32, 582, 31, 793, 588, 596, 988, 691, 667, 994, 58, 219, 985, 470, 167, 574, 98, 367, 494, 384, 816, 851, 328, 429, 997, 528, 320, 197, 438, 988, 990, 59, 950, 930, 185, 829, 616, 972, 313, 127, 442, 363, 549, 494, 153, 126, 672, 373, 685, 197, 910, 454, 803, 908, 830, 172, 199, 633, 161, 237, 653, 801, 168, 773, 374, 315, 805, 544, 430, 71, 503, 183, 265, 718, 220, 166, 289, 683, 14, 31, 315, 128, 636, 253, 720, 129, 179, 911, 78, 752, 361, 309, 145, 954, 911, 81, 58, 808, 295, 323, 585, 791, 406, 518, 608, 339, 118, 576, 570, 512, 269, 147, 777, 483, 202, 527, 559, 101, 747, 938, 145, 901, 46, 490, 805, 963, 885, 745, 60, 571, 195, 171, 828, 465, 672, 562, 576, 903, 297, 123, 697, 557, 186, 531, 102, 498, 37, 487, 706, 958, 70, 697, 650, 118, 298, 485, 232, 252, 170, 959, 93, 258, 798, 998, 668, 4, 385, 812, 80, 484, 143, 149, 516, 180, 988, 112, 260, 760, 826, 277, 921, 331, 598, 860, 573, 712, 709, 729, 687, 219, 731, 820, 238, 525, 663, 253, 843, 361, 435, 90, 689, 238, 285, 753, 360, 698, 508, 461, 369, 797, 820, 307, 972, 867, 702, 583, 845, 101, 423, 345, 718, 892, 23, 383, 325, 206, 787, 478, 429, 896, 978, 979, 336, 866, 626, 998, 691, 747, 307, 642, 936, 635, 797, 304, 820, 683, 683, 27, 883, 996, 828, 464, 71, 327, 450, 179, 196, 54, 425, 712, 469, 744, 915, 868, 485, 979, 625, 807, 494, 164, 410, 333, 708, 904, 648, 280, 887, 199, 725, 819, 687, 581, 62, 156, 358, 708, 298, 203, 408, 879, 691, 997, 10, 611, 610, 535, 27, 212, 909, 485, 833, 479, 798, 32, 112, 852, 939, 377, 794, 547, 205, 973, 160, 409, 523, 839, 567, 275, 421, 931, 778, 667, 264, 29, 621, 742, 497, 69, 878, 641, 387, 923, 542, 109, 621, 976, 6, 508, 80, 785, 45, 985, 145, 181, 973, 34, 367, 742, 490, 322, 608, 13, 487, 267, 341, 498, 446, 749, 922, 289, 620, 275, 704, 480, 168, 336, 818, 980, 872, 14, 248, 771, 860, 153, 768, 845, 886, 606, 819, 544, 945, 766, 244, 516, 671, 1, 788, 929, 526, 965, 669, 878, 448, 509, 49, 747, 829, 385, 785, 46, 152, 580, 793, 90, 318, 690, 799, 744, 93, 420, 439, 626, 79, 224, 169, 851, 266, 79, 702, 515, 834, 308, 484, 140, 653, 916, 73, 414, 837, 893, 457, 519, 356, 796, 780, 397, 761, 612, 243, 568, 638, 539, 752, 39, 0, 839, 156, 177, 750, 293, 762, 948, 535, 4, 953, 945, 218, 798, 279, 760, 121, 520, 295, 320, 583, 978, 1, 287, 879, 114, 523, 955, 877, 510, 231, 938, 211, 577, 748, 369, 249, 396, 569, 542, 542, 757, 373, 489, 541, 775, 615, 312, 563, 970, 659, 948, 717, 591, 787, 928, 917, 657, 613, 302, 648, 46, 964, 315, 705, 939, 278, 274, 996, 111, 733, 999, 415, 944, 614, 871, 827, 179, 453, 91, 95, 45, 981, 735, 331, 232, 623, 107, 418, 674, 42, 89, 337, 931, 390, 877, 89, 376, 447, 944, 763, 495, 812, 249, 897, 425, 270, 181, 592, 93, 635, 398, 803, 319, 42, 255, 866, 623, 853, 189, 357, 662, 141, 20, 86, 949, 639, 399, 984, 871, 690, 441, 628, 525, 152, 478, 54, 811, 828, 323, 863, 283, 974, 269, 479, 647, 934, 460, 414, 615, 141, 631, 721, 500, 200, 69, 401, 839, 431, 641, 65, 794, 410, 390, 701, 846, 170, 186, 446, 509, 498, 637, 430, 753, 866, 9, 976, 193, 121, 940, 564, 664, 398, 92, 730, 926, 333, 92, 399, 69, 656, 166, 824, 403, 328, 60, 12, 822, 236, 225, 2, 480, 938, 537, 343, 444, 633, 539, 529, 772, 760, 980, 106, 437, 437, 567, 416, 631, 382, 329, 213, 396, 206, 943, 185, 618, 843, 894, 448, 392, 500, 350, 213, 262, 273, 912, 190, 123, 531, 702, 995, 314, 894, 952, 547, 777, 190, 312, 62, 895, 242, 874, 354, 611, 61, 392, 405, 271, 302, 616, 21, 96, 84, 893, 711, 478, 603, 382, 587, 789, 744, 896, 935, 706, 463, 586, 642, 201, 847, 286, 584, 806, 408, 225, 440, 149, 923, 426, 200, 729, 521, 309, 407, 77, 341, 177, 416, 675, 584, 449, 246, 23, 781, 455, 770, 539, 293, 264, 469, 359, 43, 362, 132, 269, 530, 464, 289, 35, 185, 708, 940, 234, 461, 313, 710, 218, 632, 841, 994, 941, 769, 603, 815, 851, 730, 43, 238, 513, 921, 982, 237, 334, 300, 412, 557, 652, 560, 659, 184, 240, 442, 884, 49, 805, 470, 701, 825, 757, 454, 493, 962, 106, 900, 387, 482, 581, 352, 200, 356, 1, 400, 7, 660, 359, 990, 564, 508, 868, 256, 332, 669, 320, 715, 63, 580, 591, 381, 192, 574, 59, 728, 445, 437, 241, 526, 198, 750, 926, 77, 966, 465, 816, 908, 23, 307, 135, 312, 909, 932, 398, 344, 635, 495, 941, 788, 270, 716, 244, 903, 569, 977, 869, 151, 967, 467, 630, 351, 572, 703, 129, 998, 297, 424, 351, 604, 267, 172, 981, 616, 389, 490, 184, 999, 791, 981, 538, 625, 112, 519, 664, 749, 382, 803, 730, 775, 234, 837, 319, 263, 566, 849, 678, 325, 540, 318, 366, 637, 209, 163, 420, 965, 65, 144, 515, 920, 346, 20, 592, 416, 19, 794, 80, 83, 719, 849, 225, 407, 963, 446, 242, 281, 497, 286, 500, 247, 525, 232, 854, 480, 310, 240, 792, 540, 245, 557, 15, 205, 643, 56, 936, 115, 106, 505, 900, 286, 346, 551, 958, 780, 462, 196, 847, 680, 906, 819, 4, 710, 205, 867, 673, 658, 285, 804, 76, 329, 753, 183, 378, 266, 111, 497, 749, 239, 597, 777, 482, 287, 650, 218, 433, 407, 284, 182, 48, 293, 837, 300, 895, 512, 669, 673, 37, 11, 771, 169, 196, 959, 982, 213, 280, 168, 91, 646, 473, 870, 541, 319, 183, 680, 725, 739, 97, 258, 512, 696, 317, 438, 91, 487, 15, 348, 922, 63, 984, 198, 727, 899, 350, 842, 868, 509, 857, 265, 123, 694, 559, 430, 524, 160, 816, 284, 503, 70, 76, 41, 134, 325, 739, 149, 102, 348, 255, 164, 707, 597, 743, 752, 814, 67, 770, 86, 859, 668, 64, 479, 180, 202, 55, 30, 206, 985, 35, 581, 492, 649, 275, 972, 582, 9, 41, 288, 209, 142, 372, 82, 910, 883, 623, 684, 690, 429, 331, 36, 566, 801, 911, 846, 979, 322, 81, 620, 987, 793, 527, 768, 724, 810, 421, 765, 830, 68, 220, 804, 287, 228, 672, 129, 915, 110, 951, 301, 863, 297, 687, 34, 887, 869, 300, 574, 76, 447, 125, 656, 453, 841, 835, 530, 811, 260, 229, 119, 517, 67, 390, 435, 419, 223, 82, 6, 861, 665, 890, 700, 420, 419, 0, 707, 642, 908, 175, 951, 160, 667, 968, 835, 872, 604, 433, 822, 544, 758, 666, 304, 396, 928, 787, 980, 379, 372, 481, 517, 559, 822, 152, 765, 176, 31, 515, 120, 265, 535, 366, 172, 33, 858, 388, 761, 955, 678, 925, 184, 742, 21, 922, 285, 361, 577, 543, 483, 99, 665, 424, 380, 51, 354, 660, 709, 784, 65, 540, 606, 418, 321, 99, 538, 604, 569, 130, 20, 50, 495, 135, 626, 322, 450, 901, 893, 826, 344, 48, 898, 131, 58, 768, 195, 665, 947, 520, 209, 445, 766, 797, 818, 466, 595, 453, 986, 715, 931, 373, 915, 193, 56, 423, 974, 700, 413, 230, 161, 327, 353, 10, 202, 354, 0, 465, 682, 849, 955, 5, 781, 28, 197, 978, 70, 583, 134, 252, 142, 295, 703, 62, 600, 782, 750, 348, 607, 277, 577, 715, 321, 410, 476, 466, 176, 836, 771, 646, 448, 947, 591, 625, 655, 558, 826, 164, 412, 42, 114, 11, 572, 408, 372, 588, 359, 778, 959, 950, 156, 563, 278, 627, 432, 602, 578, 309, 947, 538, 645, 346, 999, 90, 413, 656, 94, 712, 227, 562, 649, 863, 977, 829, 618, 452, 336, 620, 333, 854, 558, 799, 27, 673, 641, 807, 821, 274, 960, 2, 107, 891, 722, 649, 943, 97, 351, 363, 125, 424, 47, 722, 32, 352, 489, 259, 49, 634, 675, 467, 799, 785, 561, 789, 721, 735, 975, 536, 443, 63, 362, 280, 543, 332, 936, 720, 655, 219, 503, 71, 830, 64, 369, 937, 102, 510, 105, 848, 443, 418, 104, 853, 878, 41, 855, 223, 34, 758, 670, 223, 807, 734, 739, 636, 770, 682, 166, 746, 637, 643, 987, 886, 717, 221, 883, 77, 99, 155, 443, 301, 150, 597, 733, 977, 724, 688, 454, 547, 664, 905, 466, 311, 612, 705, 650, 796, 252, 585, 321, 852, 950, 748, 78, 513, 941, 48, 37, 970}

    Returns: {0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0 }

  102. 1000

    {190, 68, 551, 312, 204, 503, 208, 821, 346, 545, 496, 561, 995, 52, 841, 12, 17, 721, 628, 128, 693, 825, 267, 158, 299, 775, 611, 469, 319, 183, 167, 482, 829, 114, 419, 607, 61, 407, 610, 898, 927, 454, 650, 213, 239, 130, 508, 665, 841, 258, 212, 185, 989, 500, 356, 620, 819, 493, 867, 375, 734, 45, 605, 578, 951, 725, 897, 847, 8, 529, 295, 873, 568, 312, 987, 898, 901, 966, 24, 602, 161, 985, 800, 596, 519, 851, 508, 803, 136, 605, 255, 337, 25, 360, 627, 71, 860, 486, 358, 216, 967, 17, 295, 452, 113, 267, 468, 140, 677, 389, 229, 104, 507, 122, 41, 944, 776, 381, 46, 180, 440, 916, 131, 666, 81, 451, 28, 728, 566, 62, 78, 603, 403, 869, 620, 519, 311, 420, 924, 771, 8, 354, 617, 66, 624, 592, 236, 393, 970, 739, 176, 775, 236, 818, 331, 612, 823, 200, 433, 532, 278, 244, 320, 817, 129, 314, 276, 514, 756, 214, 955, 830, 731, 993, 957, 379, 938, 503, 975, 529, 703, 690, 374, 548, 599, 522, 619, 276, 34, 910, 485, 6, 319, 471, 929, 256, 411, 743, 496, 416, 351, 45, 22, 868, 256, 384, 81, 186, 758, 134, 552, 331, 812, 984, 870, 5, 862, 98, 109, 579, 366, 828, 916, 27, 512, 442, 152, 16, 627, 78, 596, 309, 665, 950, 848, 651, 782, 359, 803, 731, 438, 304, 66, 145, 212, 52, 158, 195, 358, 174, 322, 590, 157, 867, 247, 173, 341, 655, 357, 396, 842, 876, 710, 770, 3, 684, 575, 175, 184, 289, 383, 313, 523, 764, 913, 648, 928, 171, 72, 50, 594, 128, 347, 490, 901, 383, 213, 488, 287, 249, 21, 282, 708, 687, 608, 525, 146, 168, 951, 849, 974, 545, 368, 113, 897, 950, 162, 322, 716, 471, 801, 825, 835, 237, 792, 256, 234, 173, 374, 780, 523, 745, 760, 903, 761, 391, 792, 815, 50, 614, 4, 314, 881, 480, 548, 429, 114, 619, 908, 905, 527, 746, 279, 658, 473, 900, 699, 456, 557, 703, 346, 730, 668, 48, 436, 255, 392, 803, 119, 288, 320, 151, 844, 631, 844, 188, 849, 986, 700, 896, 431, 437, 381, 53, 767, 739, 814, 114, 447, 628, 21, 327, 371, 888, 459, 181, 907, 490, 745, 521, 232, 988, 484, 115, 593, 716, 550, 977, 895, 366, 85, 721, 341, 186, 89, 137, 862, 828, 861, 260, 881, 381, 104, 671, 873, 880, 125, 663, 465, 466, 166, 594, 901, 739, 239, 55, 513, 884, 535, 131, 984, 720, 334, 207, 372, 144, 352, 788, 711, 9, 589, 429, 971, 68, 413, 924, 581, 217, 181, 353, 493, 683, 734, 580, 917, 998, 671, 851, 264, 726, 62, 994, 252, 827, 179, 373, 672, 522, 819, 184, 282, 544, 954, 621, 621, 813, 715, 931, 5, 600, 26, 964, 875, 150, 983, 984, 113, 321, 58, 393, 620, 196, 138, 93, 861, 860, 676, 124, 766, 205, 648, 190, 121, 275, 831, 963, 414, 794, 704, 940, 499, 666, 116, 80, 423, 122, 847, 766, 969, 393, 14, 234, 637, 779, 937, 637, 242, 612, 985, 161, 463, 972, 680, 756, 595, 686, 486, 602, 299, 701, 995, 271, 404, 371, 499, 112, 954, 357, 218, 564, 891, 219, 632, 74, 939, 743, 384, 336, 303, 497, 60, 240, 705, 426, 120, 185, 694, 112, 596, 465, 576, 943, 858, 838, 526, 656, 525, 724, 165, 930, 29, 422, 476, 107, 424, 87, 933, 284, 54, 491, 433, 779, 726, 449, 298, 262, 290, 507, 746, 276, 998, 241, 446, 496, 182, 787, 27, 773, 360, 318, 692, 764, 816, 717, 327, 385, 97, 461, 601, 824, 482, 636, 200, 505, 275, 712, 196, 987, 870, 794, 307, 299, 110, 694, 578, 442, 242, 235, 252, 412, 379, 292, 917, 181, 45, 880, 563, 735, 993, 945, 546, 672, 274, 0, 198, 100, 966, 37, 787, 6, 565, 625, 904, 244, 783, 652, 721, 561, 351, 758, 621, 638, 986, 642, 26, 565, 390, 685, 530, 886, 382, 122, 734, 791, 983, 196, 307, 494, 912, 273, 986, 855, 577, 81, 761, 401, 264, 278, 386, 416, 631, 500, 67, 273, 338, 34, 77, 793, 538, 104, 585, 416, 746, 389, 788, 971, 842, 219, 390, 369, 358, 336, 966, 653, 143, 637, 891, 635, 149, 646, 648, 410, 292, 390, 802, 404, 719, 411, 919, 570, 327, 411, 650, 902, 945, 457, 580, 4, 403, 663, 280, 165, 878, 249, 917, 66, 514, 967, 710, 56, 700, 2, 866, 843, 28, 311, 168, 161, 185, 105, 533, 632, 547, 495, 107, 624, 852, 899, 690, 829, 302, 910, 956, 130, 111, 138, 172, 599, 391, 730, 749, 551, 278, 413, 147, 336, 758, 320, 533, 967, 444, 882, 963, 665, 760, 481, 440, 9, 16, 274, 676, 415, 321, 259, 359, 969, 692, 73, 915, 132, 424, 511, 832, 414, 851, 703, 3, 557, 15, 469, 879, 402, 927, 836, 80, 324, 655, 882, 235, 36, 982, 78, 998, 933, 612, 829, 772, 288, 503, 284, 65, 446, 893, 958, 40, 477, 163, 585, 170, 342, 457, 437, 634, 761, 479, 103, 987, 338, 198, 380, 344, 353, 301, 369, 956, 16, 351, 231, 929, 217, 479, 687, 858, 319, 573, 305, 158, 594, 260, 175, 149, 199, 412, 574, 465, 993, 656, 741, 334, 530, 928, 258, 644, 763, 367, 98, 743, 807, 353, 958, 189, 248, 362, 605, 374, 46, 298, 771, 954, 908, 760, 797, 293, 943, 771, 26, 107, 806, 692, 85, 206, 964, 147, 897, 92, 47, 171, 57, 801, 627, 584, 647, 922, 274, 457, 205, 219, 207, 913, 285, 537, 391, 707, 843, 229, 56, 83, 607, 911, 399, 120, 290, 136, 184, 869, 502, 442, 590, 773, 904, 272, 658, 679, 705, 874, 647, 583, 634, 778, 893, 512, 672, 230, 874, 163, 211, 214, 46, 952, 378, 300, 776, 668, 329, 581, 836, 669, 895, 2, 85, 218, 458, 578, 738, 253, 264, 129, 247, 684, 697, 152, 996, 717, 447, 462, 491, 922, 656, 472, 976, 708, 544, 528, 785, 666, 965, 677, 574, 949, 460, 362, 852, 502, 945, 674, 482, 753, 4, 239, 505, 77, 957, 773, 658, 495, 835, 83, 243, 295, 757, 961, 253, 843, 516, 253, 156, 258, 405, 835, 441, 512, 361, 21, 625, 824, 312, 176, 50, 928, 369, 674, 156, 337, 933, 553, 691, 225, 17, 291, 524, 174, 862, 225, 929, 8, 886, 57, 382, 94, 47, 169, 506, 415, 6, 12, 180, 459, 246, 690, 60, 268, 707, 983, 669, 248, 772, 473, 991, 848, 498, 344, 837, 180, 430, 997, 705, 886, 521, 750, 631, 74, 670, 236, 487, 539, 894, 812, 960, 507, 423, 175, 56, 287, 921, 377, 284, 985, 927, 218, 86, 810, 641, 505, 526, 93, 700, 576, 818, 932, 898, 0, 212, 100, 314, 910, 712, 279, 707, 977, 251, 401, 848, 711, 868, 311, 553, 380, 937, 342, 29, 845, 932, 732, 464, 589, 307, 74, 245, 322, 868, 340, 147, 866, 741, 245, 688, 652, 592, 858, 267, 289, 168, 309, 300, 822, 618, 532, 424, 823, 600, 725, 557, 921, 948, 289, 677, 904, 400, 431, 981, 617, 399, 418, 729, 894, 893, 873, 193, 640, 720, 577, 92, 333, 493, 526, 678, 384, 171, 54, 492, 736, 996, 616, 480, 722, 982, 875, 43, 308, 367, 698, 857, 772, 537, 814, 697, 604, 229, 397, 137, 195, 919, 260, 444, 568, 950, 333, 363, 546, 564, 931, 359, 566, 914, 198, 607, 520, 530, 460, 5, 89, 552, 37, 410, 640, 117, 711, 968, 304, 345, 587, 64, 576, 686, 217, 497, 519, 203, 59, 853, 288, 949, 43, 80, 896, 485, 350, 419, 349, 961, 454, 469, 653, 340, 979, 43, 238, 934, 495, 687, 431, 815, 892, 813, 243, 823, 602, 54, 755, 382, 150, 688, 522, 894, 383, 497, 693, 477, 995, 436, 282, 190, 87, 538, 552, 784, 15, 222, 932, 982, 191, 69, 944, 520, 108, 404, 361, 323, 911, 148, 385, 31, 593, 545, 98, 77, 736, 674, 206, 486, 277, 679, 157, 275, 447, 667, 105, 837, 494, 977, 117, 722, 989, 582, 694, 802, 356, 455, 402, 100, 25, 188, 444, 473, 569, 328, 533, 979, 176, 896, 613, 698, 825, 459, 131, 286, 697, 708, 832, 372, 174, 616, 768, 934, 597, 15, 344, 617, 206, 346, 409, 331, 417, 28, 670, 782, 232, 693, 136, 110, 724, 595, 323, 573, 832, 227, 587, 129, 816, 328, 169, 670, 294, 532, 52, 325, 958, 965, 208, 940, 178, 506, 89, 375, 930, 582, 392, 461, 540, 965, 112, 265, 691, 12, 883, 485, 521, 254, 899, 659, 156, 938, 313, 489, 205, 121, 963, 471, 587, 548, 616, 479, 907, 860, 125, 34, 887, 208, 150, 511, 500, 663, 475, 618, 164, 782, 726, 250, 191, 225, 585, 913, 562, 360, 226, 13, 488, 361, 824, 143}

    {583, 877, 981, 622, 764, 421, 169, 425, 318, 804, 466, 689, 962, 695, 103, 814, 733, 948, 547, 373, 813, 840, 732, 625, 228, 40, 682, 139, 992, 809, 859, 130, 657, 14, 132, 988, 889, 414, 748, 699, 338, 946, 737, 562, 271, 970, 24, 591, 86, 11, 845, 871, 376, 356, 513, 735, 850, 570, 1, 941, 354, 918, 9, 63, 409, 659, 923, 615, 125, 33, 160, 297, 991, 427, 467, 592, 597, 834, 542, 436, 554, 604, 742, 840, 370, 890, 49, 944, 767, 789, 706, 230, 633, 973, 888, 195, 449, 906, 630, 923, 117, 283, 808, 538, 959, 572, 243, 515, 35, 177, 377, 367, 76, 763, 142, 729, 124, 791, 725, 510, 641, 330, 809, 535, 798, 745, 586, 722, 536, 226, 673, 106, 441, 211, 833, 878, 466, 660, 99, 903, 768, 811, 609, 216, 872, 542, 601, 915, 908, 701, 251, 406, 962, 914, 403, 183, 633, 563, 166, 762, 539, 936, 872, 684, 31, 916, 523, 747, 883, 798, 655, 978, 805, 675, 654, 890, 434, 737, 799, 237, 92, 432, 626, 638, 830, 978, 109, 975, 405, 790, 435, 742, 876, 889, 13, 679, 363, 955, 155, 257, 709, 556, 867, 871, 197, 852, 810, 108, 213, 126, 102, 660, 887, 315, 683, 408, 11, 193, 921, 435, 784, 572, 233, 376, 430, 802, 597, 294, 406, 39, 723, 664, 498, 155, 573, 292, 510, 840, 853, 427, 999, 396, 952, 309, 241, 464, 489, 754, 696, 446, 84, 740, 91, 769, 280, 906, 455, 859, 749, 864, 559, 951, 822, 595, 558, 250, 664, 201, 855, 513, 501, 643, 317, 839, 101, 187, 777, 60, 93, 543, 528, 42, 221, 994, 686, 754, 783, 826, 203, 155, 115, 133, 48, 423, 494, 817, 413, 750, 992, 179, 786, 715, 774, 329, 269, 636, 629, 182, 468, 437, 780, 639, 126, 836, 75, 316, 178, 719, 434, 756, 456, 425, 20, 362, 19, 340, 516, 623, 421, 925, 310, 330, 751, 955, 971, 30, 332, 135, 36, 477, 808, 305, 325, 558, 980, 261, 856, 440, 350, 223, 698, 883, 809, 549, 749, 780, 732, 308, 120, 899, 937, 826, 281, 400, 329, 831, 567, 753, 387, 569, 520, 182, 884, 508, 99, 235, 19, 874, 793, 448, 695, 640, 142, 406, 925, 701, 345, 902, 251, 123, 604, 781, 669, 737, 549, 804, 121, 882, 55, 445, 140, 837, 339, 400, 846, 154, 61, 603, 10, 610, 560, 909, 335, 833, 609, 905, 154, 718, 652, 300, 661, 717, 586, 555, 934, 795, 643, 110, 504, 702, 417, 685, 189, 13, 978, 787, 283, 133, 830, 728, 216, 223, 864, 667, 453, 317, 484, 164, 622, 221, 91, 586, 571, 377, 647, 408, 735, 51, 462, 733, 103, 201, 727, 956, 990, 880, 678, 372, 834, 143, 504, 398, 781, 116, 973, 905, 399, 796, 997, 785, 850, 468, 222, 678, 946, 623, 844, 662, 518, 349, 846, 69, 902, 646, 918, 159, 142, 989, 285, 427, 240, 833, 306, 270, 980, 453, 162, 204, 509, 335, 215, 133, 546, 62, 579, 87, 238, 850, 67, 724, 388, 347, 990, 261, 547, 37, 569, 973, 334, 972, 439, 252, 366, 935, 95, 428, 591, 347, 912, 788, 297, 752, 33, 783, 935, 261, 290, 458, 238, 799, 144, 516, 831, 29, 357, 286, 210, 765, 941, 188, 420, 214, 259, 710, 42, 974, 160, 105, 834, 808, 608, 18, 303, 769, 472, 857, 48, 541, 518, 755, 202, 796, 759, 657, 662, 14, 498, 443, 352, 729, 793, 900, 443, 907, 426, 649, 58, 470, 118, 879, 727, 959, 661, 511, 938, 59, 970, 111, 702, 766, 633, 501, 713, 10, 76, 871, 35, 450, 101, 577, 36, 488, 481, 968, 453, 791, 332, 316, 94, 584, 452, 293, 778, 126, 49, 153, 542, 504, 554, 192, 111, 558, 492, 731, 651, 455, 389, 355, 438, 909, 228, 801, 128, 740, 422, 63, 942, 291, 101, 55, 646, 452, 489, 82, 415, 134, 790, 947, 118, 41, 410, 736, 222, 514, 942, 695, 64, 947, 83, 396, 765, 343, 988, 18, 811, 397, 777, 263, 668, 102, 581, 10, 97, 911, 435, 887, 342, 642, 580, 194, 401, 797, 525, 268, 611, 623, 996, 365, 920, 368, 615, 866, 463, 88, 914, 638, 540, 162, 456, 348, 149, 741, 254, 326, 855, 821, 768, 895, 733, 543, 810, 199, 606, 47, 364, 63, 163, 376, 892, 689, 713, 534, 72, 765, 712, 268, 629, 405, 394, 439, 138, 811, 744, 796, 73, 141, 744, 451, 296, 584, 819, 941, 797, 859, 890, 931, 935, 624, 610, 900, 88, 368, 448, 145, 96, 972, 135, 305, 794, 854, 839, 812, 767, 363, 152, 795, 23, 231, 673, 79, 885, 683, 0, 667, 964, 635, 884, 265, 949, 179, 221, 752, 146, 1, 146, 88, 975, 246, 531, 373, 806, 909, 536, 321, 723, 250, 968, 279, 326, 706, 259, 524, 491, 645, 981, 753, 807, 478, 209, 476, 402, 64, 588, 699, 704, 19, 365, 682, 555, 534, 534, 779, 628, 906, 961, 96, 740, 718, 294, 170, 177, 167, 582, 997, 38, 409, 838, 630, 443, 172, 123, 84, 509, 200, 969, 600, 203, 999, 636, 635, 688, 178, 364, 947, 99, 543, 44, 590, 82, 544, 515, 324, 952, 119, 738, 232, 936, 277, 536, 742, 352, 450, 661, 71, 527, 953, 759, 280, 44, 752, 418, 626, 385, 979, 865, 95, 480, 861, 751, 919, 474, 567, 976, 948, 301, 281, 654, 518, 976, 209, 681, 257, 461, 778, 328, 723, 960, 371, 25, 67, 166, 38, 680, 589, 863, 799, 86, 763, 472, 775, 501, 325, 629, 339, 923, 622, 691, 991, 32, 639, 926, 492, 881, 192, 483, 574, 438, 454, 240, 38, 876, 571, 827, 807, 751, 549, 434, 539, 51, 207, 588, 277, 197, 662, 388, 598, 467, 785, 676, 193, 940, 79, 20, 69, 591, 560, 23, 487, 2, 805, 826, 550, 450, 281, 759, 24, 30, 800, 141, 224, 847, 869, 237, 922, 445, 233, 355, 994, 608, 233, 90, 748, 606, 192, 798, 570, 407, 223, 79, 165, 593, 541, 556, 460, 378, 153, 432, 204, 395, 441, 58, 527, 515, 41, 870, 227, 30, 194, 953, 337, 70, 822, 379, 556, 770, 134, 675, 784, 210, 828, 228, 888, 412, 483, 680, 386, 364, 310, 160, 634, 774, 957, 506, 920, 97, 378, 248, 650, 568, 91, 428, 792, 270, 769, 421, 645, 953, 615, 202, 842, 517, 84, 271, 777, 601, 603, 388, 795, 551, 879, 755, 115, 562, 247, 324, 757, 135, 789, 302, 704, 269, 939, 781, 139, 821, 642, 714, 220, 483, 173, 189, 7, 106, 632, 872, 566, 304, 102, 255, 127, 291, 164, 609, 191, 599, 348, 728, 657, 241, 563, 380, 432, 355, 925, 75, 537, 463, 272, 696, 394, 330, 564, 20, 215, 464, 639, 502, 805, 865, 856, 370, 470, 529, 762, 127, 18, 262, 458, 611, 567, 7, 386, 744, 70, 559, 531, 201, 892, 23, 451, 816, 980, 266, 553, 141, 936, 148, 159, 153, 644, 262, 715, 310, 800, 345, 718, 614, 53, 375, 266, 194, 706, 770, 151, 654, 475, 187, 786, 877, 394, 845, 335, 614, 186, 313, 754, 220, 127, 398, 428, 32, 445, 82, 561, 157, 145, 137, 95, 659, 689, 71, 484, 316, 720, 419, 730, 109, 660, 926, 39, 266, 70, 73, 517, 246, 227, 863, 606, 348, 714, 254, 875, 878, 630, 395, 187, 709, 645, 343, 962, 302, 265, 748, 560, 418, 540, 467, 27, 199, 827, 524, 318, 974, 555, 559, 571, 854, 675, 420, 554, 583, 303, 425, 116, 959, 990, 747, 68, 106, 57, 476, 924, 263, 94, 349, 478, 747, 333, 154, 820, 439, 65, 918, 226, 242, 395, 714, 750, 541, 702, 354, 857, 915, 649, 332, 528, 696, 999, 298, 65, 854, 315, 408, 613, 40, 681, 939, 170, 618, 490, 215, 474, 370, 820, 35, 430, 992, 119, 144, 885, 818, 197, 449, 220, 273, 804, 124, 429, 774, 776, 470, 245, 820, 960, 790, 53, 426, 211, 762, 849, 786, 671, 817, 716, 296, 644, 510, 90, 517, 22, 3, 846, 853, 230, 286, 877, 649, 108, 224, 682, 148, 789, 550, 664, 619, 889, 643, 42, 641, 49, 681, 865, 234, 478, 33, 946, 579, 159, 202, 856, 339, 387, 387, 210, 293, 433, 172, 140, 308, 231, 167, 598, 32, 272, 90, 306, 709, 891, 365, 285, 341, 509, 815, 51, 96, 392, 118, 613, 317, 806, 326, 296, 885, 75, 685, 306, 863, 287, 487, 903, 22, 653, 565, 462, 72, 598, 448, 61, 475, 350, 323, 531, 31, 123, 1, 575, 757, 183, 249, 11, 39, 727, 407, 177, 499, 481, 269, 942, 474, 713, 738, 301, 417, 244, 535, 209, 270, 626, 139, 572, 673, 224, 343, 397, 59, 257, 7, 719, 132, 151, 315, 44, 930, 838, 398, 864, 926, 263, 76, 588, 283, 297, 943, 912, 841, 920, 422, 575, 839, 651}

    Returns: {0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1 }

  103. 1000

    {233, 880, 114, 107, 214, 48, 894, 357, 480, 950, 644, 918, 663, 284, 363, 521, 265, 985, 347, 644, 888, 61, 958, 705, 836, 10, 286, 628, 41, 968, 631, 538, 769, 658, 77, 672, 551, 31, 57, 266, 306, 171, 975, 993, 210, 565, 423, 680, 996, 632, 536, 298, 221, 542, 458, 717, 303, 669, 296, 729, 346, 738, 540, 404, 904, 220, 797, 647, 601, 914, 36, 738, 741, 663, 102, 287, 145, 803, 515, 468, 455, 87, 224, 812, 315, 310, 827, 302, 794, 953, 791, 780, 970, 71, 11, 373, 207, 174, 65, 793, 843, 829, 192, 12, 709, 493, 701, 545, 377, 835, 699, 60, 330, 574, 449, 651, 73, 910, 898, 862, 939, 647, 168, 366, 724, 653, 534, 412, 604, 430, 786, 70, 720, 85, 482, 2, 177, 395, 213, 308, 637, 452, 334, 147, 621, 349, 454, 951, 874, 34, 100, 724, 36, 387, 463, 492, 855, 633, 483, 288, 892, 360, 0, 515, 196, 847, 800, 749, 769, 645, 597, 704, 661, 571, 823, 825, 726, 269, 293, 613, 430, 420, 612, 882, 315, 246, 899, 243, 934, 111, 581, 320, 914, 489, 843, 749, 746, 664, 24, 593, 652, 345, 889, 156, 77, 702, 640, 840, 955, 119, 84, 410, 776, 395, 36, 712, 679, 168, 503, 289, 4, 225, 712, 69, 21, 507, 7, 800, 271, 25, 873, 217, 138, 99, 95, 389, 343, 659, 391, 58, 414, 966, 348, 846, 736, 270, 671, 688, 787, 728, 803, 760, 272, 245, 809, 839, 567, 619, 755, 63, 945, 498, 682, 332, 272, 349, 441, 771, 498, 306, 167, 584, 157, 400, 701, 541, 449, 804, 612, 417, 178, 152, 39, 135, 363, 177, 430, 683, 410, 570, 374, 150, 852, 242, 698, 283, 663, 237, 221, 538, 894, 304, 762, 599, 49, 666, 604, 126, 142, 798, 567, 967, 266, 31, 560, 294, 968, 461, 659, 64, 920, 146, 345, 157, 653, 463, 943, 490, 200, 145, 876, 880, 577, 191, 947, 986, 275, 507, 887, 11, 453, 386, 154, 193, 872, 127, 534, 874, 406, 952, 840, 169, 217, 567, 346, 681, 876, 251, 415, 65, 400, 206, 737, 517, 85, 536, 622, 270, 584, 487, 882, 260, 922, 960, 512, 94, 85, 390, 902, 733, 305, 629, 748, 593, 410, 308, 614, 353, 630, 665, 960, 648, 943, 257, 44, 197, 397, 185, 639, 404, 133, 243, 730, 398, 372, 595, 889, 74, 171, 299, 4, 46, 635, 637, 174, 822, 555, 802, 23, 251, 825, 88, 167, 530, 736, 631, 461, 91, 991, 802, 891, 962, 360, 155, 895, 693, 171, 879, 125, 404, 139, 884, 504, 588, 707, 866, 490, 361, 287, 500, 426, 655, 621, 278, 455, 910, 491, 983, 689, 398, 618, 391, 378, 701, 943, 816, 444, 390, 245, 931, 559, 179, 905, 364, 338, 359, 985, 743, 30, 562, 99, 47, 314, 316, 982, 863, 431, 269, 350, 253, 541, 391, 774, 482, 725, 518, 63, 290, 858, 114, 980, 877, 995, 956, 120, 965, 223, 577, 729, 514, 809, 689, 81, 694, 281, 386, 411, 179, 870, 259, 348, 389, 584, 506, 109, 50, 948, 880, 190, 332, 579, 41, 877, 130, 172, 255, 961, 587, 716, 824, 121, 318, 630, 789, 786, 533, 446, 364, 901, 482, 446, 842, 371, 311, 436, 508, 673, 575, 847, 755, 655, 857, 372, 421, 787, 621, 821, 695, 539, 840, 512, 839, 713, 335, 872, 303, 796, 327, 796, 523, 25, 945, 432, 764, 657, 288, 737, 452, 135, 857, 767, 1, 252, 923, 221, 651, 412, 885, 416, 245, 934, 723, 180, 159, 793, 971, 501, 505, 140, 879, 797, 173, 177, 118, 493, 473, 932, 590, 492, 588, 973, 528, 15, 392, 486, 938, 994, 699, 544, 524, 901, 993, 559, 586, 561, 885, 519, 432, 287, 483, 716, 240, 500, 130, 899, 116, 903, 612, 994, 317, 325, 506, 480, 369, 909, 2, 748, 563, 737, 489, 15, 804, 925, 712, 4, 760, 109, 484, 595, 125, 923, 197, 666, 486, 109, 932, 63, 517, 537, 810, 496, 122, 650, 723, 555, 284, 368, 88, 462, 233, 90, 115, 169, 73, 176, 438, 165, 859, 180, 457, 195, 745, 224, 907, 1, 389, 781, 390, 121, 15, 255, 657, 934, 898, 428, 901, 206, 728, 107, 793, 411, 690, 469, 554, 676, 488, 339, 425, 459, 883, 150, 352, 167, 57, 930, 654, 214, 462, 801, 296, 628, 759, 770, 990, 644, 496, 470, 822, 460, 405, 532, 282, 104, 371, 613, 45, 660, 821, 122, 439, 870, 208, 263, 228, 924, 606, 346, 540, 260, 863, 632, 182, 453, 613, 180, 787, 348, 368, 976, 968, 557, 925, 843, 387, 272, 665, 736, 104, 965, 955, 556, 677, 829, 626, 896, 790, 596, 999, 726, 685, 260, 804, 543, 211, 510, 193, 202, 6, 975, 382, 408, 487, 636, 606, 993, 774, 324, 473, 711, 939, 68, 259, 472, 598, 532, 122, 472, 975, 239, 467, 936, 781, 550, 168, 0, 989, 933, 467, 334, 435, 635, 296, 861, 411, 669, 601, 107, 402, 421, 866, 246, 156, 550, 377, 373, 958, 557, 647, 670, 206, 324, 47, 498, 988, 639, 940, 232, 764, 743, 163, 249, 289, 854, 106, 299, 929, 762, 933, 333, 831, 645, 290, 751, 488, 1, 857, 927, 555, 147, 596, 129, 628, 733, 2, 533, 995, 113, 645, 600, 239, 117, 600, 232, 244, 400, 711, 269, 507, 972, 406, 632, 884, 242, 931, 378, 135, 811, 948, 852, 91, 577, 569, 445, 18, 541, 285, 184, 312, 466, 90, 836, 267, 680, 579, 654, 989, 205, 653, 18, 499, 954, 163, 552, 817, 623, 502, 796, 319, 839, 158, 744, 91, 160, 582, 767, 69, 108, 233, 938, 827, 537, 956, 664, 77, 885, 41, 444, 266, 991, 923, 588, 779, 147, 126, 913, 207, 678, 379, 586, 99, 952, 878, 731, 267, 832, 980, 982, 445, 905, 860, 972, 831, 305, 265, 543, 290, 971, 237, 933, 222, 421, 698, 43, 166, 865, 48, 240, 939, 54, 217, 594, 998, 951, 746, 61, 562, 522, 510, 633, 376, 818, 222, 90, 297, 46, 179, 88, 689, 461, 379, 457, 895, 7, 339, 757, 837, 841, 626, 164, 697, 284, 433, 770, 669, 946, 721, 536, 419, 237, 703, 244, 944, 717, 17, 953, 872, 837, 428, 830, 903, 991, 218, 131, 836, 13, 949, 949, 751, 550, 154, 409, 434, 521, 597, 585, 212, 686, 778, 414, 320, 830, 247, 874, 435, 829, 600, 913, 835, 222, 581, 597, 514, 720, 172, 388, 898, 355, 492, 890, 281, 725, 680, 5, 500, 285, 414, 528, 785, 199, 248, 454, 702, 915, 254, 596, 674, 862, 185, 859, 610, 771, 766, 648, 664, 778, 704, 931, 583, 409, 337, 197, 106, 801, 913, 340, 816, 915, 881, 891, 388, 515, 374, 196, 205, 499, 811, 189, 125, 253, 240, 544, 184, 195, 516, 908, 472, 768, 360, 108, 137, 707, 608, 516, 363, 193, 372, 424, 140, 940, 176, 780, 137, 163, 466, 388, 801, 961, 579, 203, 455, 922, 601, 767, 908, 750, 519, 439, 503, 810, 986, 681, 894, 139, 695, 14, 200, 207, 743, 537, 896, 774, 247, 45, 754, 985, 68, 749, 332, 513, 758, 824, 406, 462, 713, 908, 958, 119, 311, 875, 674, 326, 527, 131, 454, 593, 429, 416, 459, 966, 676, 402, 475, 424, 113, 443, 651, 755, 351, 393, 707, 753, 139, 854, 552, 57, 803, 64, 765, 158, 830, 522, 635, 795, 948, 243, 711, 688, 502, 575, 797, 762, 297, 817, 570, 961, 475, 291, 725, 519, 873, 903, 395, 459, 979, 405, 87, 668, 906, 23, 84, 104, 761, 464, 273, 374, 324, 480, 696, 557, 106, 278, 54, 659, 823, 746, 982, 517, 133, 744, 941, 553, 285, 960, 288, 423, 574, 491, 40, 816, 393, 126, 173, 369, 906, 824, 580, 225, 906, 778, 745, 526, 234, 602, 509, 84, 11, 970, 953, 164, 428, 49, 62, 278, 178, 190, 785, 486, 828, 449, 488, 408, 734, 289, 956, 524, 425, 595, 251, 502, 118, 202, 846, 65, 532, 998, 722, 134, 64, 232, 219, 525, 70, 118, 540, 650, 306, 615, 666, 314, 530, 750, 907, 422, 678, 317, 528, 173, 747, 195, 785, 275, 223, 392, 533, 530, 696, 219, 361, 196, 364, 896, 303, 852, 225, 604, 924, 264, 71, 491, 614, 190, 706, 575, 335, 393, 304, 921, 259, 599, 453, 264, 739, 627, 281, 618, 317, 542, 71, 371, 891, 681, 138, 623, 624, 640, 327, 3, 732, 965, 21, 649, 286, 277, 941, 58, 43, 728, 409, 82, 757, 841, 412, 654, 72, 695, 745, 952, 220, 89, 702, 213, 405, 594, 359, 358, 304, 53, 174, 780, 18, 340, 877, 379, 132, 325, 998, 198, 795, 452, 703, 44, 24, 34, 95, 506, 212, 43, 665, 525, 757, 315, 68, 93, 100, 846, 301, 735, 255, 668, 741, 924, 141, 186, 788, 795, 325, 446, 166, 120, 949}

    {981, 585, 148, 407, 442, 50, 624, 489, 868, 821, 520, 916, 699, 723, 754, 33, 734, 794, 345, 715, 164, 384, 38, 591, 942, 838, 357, 66, 170, 722, 742, 19, 608, 617, 691, 128, 151, 447, 619, 983, 730, 181, 67, 231, 525, 476, 714, 392, 854, 417, 274, 262, 706, 12, 52, 779, 592, 825, 858, 526, 844, 471, 309, 27, 35, 766, 362, 413, 763, 683, 909, 607, 203, 554, 792, 764, 554, 889, 301, 220, 740, 549, 615, 708, 437, 378, 973, 802, 720, 753, 49, 643, 3, 508, 759, 199, 136, 638, 280, 485, 235, 547, 868, 650, 377, 127, 16, 546, 201, 694, 721, 339, 321, 215, 239, 957, 957, 302, 458, 211, 230, 448, 366, 124, 686, 640, 520, 83, 86, 676, 690, 828, 358, 474, 160, 657, 188, 399, 273, 572, 916, 791, 380, 936, 450, 682, 252, 401, 26, 969, 451, 548, 216, 553, 845, 942, 809, 996, 352, 301, 256, 529, 436, 580, 811, 497, 930, 866, 110, 249, 119, 155, 997, 327, 39, 685, 875, 215, 398, 783, 984, 941, 474, 753, 974, 235, 501, 616, 962, 268, 568, 97, 808, 813, 800, 161, 878, 97, 187, 305, 864, 629, 957, 399, 67, 24, 886, 16, 730, 973, 792, 403, 408, 429, 262, 59, 995, 144, 727, 582, 710, 687, 439, 50, 477, 522, 583, 826, 853, 458, 330, 547, 531, 606, 263, 150, 258, 775, 42, 834, 881, 12, 8, 353, 447, 149, 185, 123, 932, 419, 605, 165, 194, 732, 974, 69, 566, 710, 210, 987, 747, 805, 450, 474, 592, 714, 344, 798, 742, 955, 380, 26, 351, 261, 936, 483, 127, 300, 783, 226, 580, 432, 729, 274, 641, 485, 758, 808, 646, 323, 963, 634, 181, 218, 912, 926, 282, 368, 513, 117, 340, 134, 74, 978, 257, 603, 425, 359, 633, 444, 413, 154, 777, 32, 264, 242, 437, 210, 112, 16, 935, 879, 679, 89, 481, 617, 70, 928, 805, 598, 545, 51, 917, 92, 236, 826, 35, 355, 313, 227, 484, 919, 283, 671, 250, 66, 9, 773, 349, 590, 750, 902, 268, 756, 784, 831, 417, 87, 822, 642, 747, 29, 442, 727, 775, 535, 448, 465, 318, 183, 362, 620, 561, 738, 768, 384, 769, 295, 80, 947, 677, 33, 189, 17, 853, 917, 675, 834, 151, 740, 607, 365, 429, 786, 497, 892, 445, 208, 229, 674, 249, 457, 238, 937, 634, 198, 116, 375, 32, 162, 441, 673, 313, 129, 153, 307, 5, 719, 250, 326, 897, 61, 456, 53, 308, 143, 980, 280, 78, 832, 867, 626, 585, 73, 9, 833, 527, 685, 384, 227, 44, 228, 275, 477, 668, 322, 807, 22, 691, 589, 616, 328, 636, 394, 456, 366, 527, 76, 875, 856, 52, 5, 385, 175, 888, 912, 761, 141, 370, 656, 946, 895, 671, 954, 900, 30, 469, 495, 187, 365, 294, 60, 322, 423, 20, 146, 322, 83, 503, 142, 858, 451, 988, 974, 983, 713, 478, 849, 625, 672, 752, 798, 629, 927, 627, 302, 505, 32, 815, 6, 815, 789, 850, 136, 643, 529, 643, 333, 763, 20, 994, 947, 14, 72, 79, 741, 926, 311, 678, 162, 124, 942, 218, 900, 860, 969, 276, 481, 619, 523, 547, 964, 295, 703, 705, 130, 123, 696, 25, 722, 856, 201, 610, 919, 202, 827, 435, 704, 28, 871, 893, 103, 460, 845, 511, 153, 277, 342, 19, 962, 734, 89, 415, 806, 561, 559, 440, 731, 401, 938, 6, 662, 30, 833, 549, 204, 781, 60, 869, 183, 431, 424, 209, 970, 544, 605, 838, 618, 476, 261, 609, 160, 463, 819, 999, 683, 770, 576, 201, 916, 298, 813, 28, 925, 565, 662, 976, 23, 485, 83, 863, 524, 55, 273, 718, 37, 620, 101, 40, 394, 979, 950, 312, 300, 250, 183, 959, 187, 790, 98, 977, 518, 611, 338, 564, 605, 192, 992, 142, 869, 545, 911, 354, 82, 882, 238, 772, 442, 591, 853, 175, 742, 53, 495, 716, 274, 208, 496, 733, 589, 3, 369, 198, 331, 751, 337, 578, 812, 655, 59, 590, 656, 159, 890, 912, 573, 902, 94, 602, 307, 224, 105, 298, 641, 548, 566, 535, 434, 470, 78, 468, 888, 338, 667, 617, 634, 257, 158, 848, 697, 230, 684, 578, 52, 568, 76, 96, 773, 928, 188, 376, 817, 799, 22, 921, 227, 791, 451, 692, 28, 460, 98, 740, 670, 246, 744, 563, 672, 283, 82, 565, 27, 81, 512, 46, 718, 849, 950, 603, 267, 837, 361, 204, 333, 992, 456, 34, 981, 102, 464, 93, 79, 42, 945, 648, 431, 548, 509, 376, 229, 951, 915, 718, 443, 812, 337, 234, 341, 876, 137, 276, 566, 930, 608, 807, 622, 818, 194, 0, 292, 247, 814, 848, 55, 927, 427, 162, 873, 72, 637, 479, 40, 79, 365, 189, 14, 124, 103, 691, 184, 638, 700, 568, 782, 981, 143, 893, 656, 241, 660, 320, 59, 132, 101, 556, 841, 271, 427, 721, 241, 478, 705, 571, 910, 719, 819, 499, 56, 413, 509, 418, 402, 687, 367, 788, 140, 312, 422, 356, 161, 569, 850, 176, 523, 331, 248, 148, 45, 133, 865, 352, 649, 706, 385, 897, 652, 353, 427, 914, 476, 562, 375, 620, 191, 112, 335, 576, 887, 7, 383, 963, 623, 318, 868, 708, 777, 386, 95, 466, 783, 229, 493, 123, 789, 900, 686, 357, 977, 350, 282, 717, 356, 834, 591, 342, 539, 10, 779, 739, 316, 226, 342, 13, 228, 513, 667, 860, 531, 434, 969, 572, 235, 709, 763, 625, 42, 758, 490, 987, 151, 883, 329, 341, 191, 926, 759, 625, 75, 864, 887, 138, 66, 38, 765, 845, 571, 511, 919, 230, 381, 587, 203, 823, 219, 294, 851, 946, 231, 709, 788, 256, 51, 226, 878, 979, 497, 782, 700, 418, 814, 920, 467, 609, 182, 149, 694, 904, 772, 385, 279, 373, 558, 724, 832, 719, 319, 808, 864, 773, 494, 996, 396, 814, 94, 964, 658, 799, 216, 115, 776, 727, 86, 396, 833, 698, 660, 415, 642, 465, 152, 766, 805, 440, 959, 611, 344, 117, 646, 479, 479, 917, 420, 551, 396, 610, 627, 149, 549, 752, 403, 468, 673, 715, 765, 775, 258, 370, 175, 38, 55, 437, 465, 850, 129, 204, 416, 677, 543, 80, 292, 690, 978, 241, 907, 216, 212, 556, 153, 172, 989, 426, 782, 526, 321, 314, 615, 134, 675, 731, 291, 569, 447, 347, 508, 336, 820, 844, 784, 772, 546, 806, 258, 419, 583, 152, 849, 433, 818, 581, 638, 918, 76, 20, 494, 589, 487, 56, 847, 815, 8, 777, 262, 96, 433, 100, 748, 944, 842, 820, 552, 471, 182, 661, 86, 553, 27, 963, 26, 572, 534, 761, 418, 670, 546, 33, 641, 792, 309, 148, 440, 328, 329, 75, 990, 477, 263, 997, 813, 602, 611, 108, 862, 576, 893, 313, 74, 286, 265, 367, 383, 310, 904, 516, 616, 19, 113, 54, 319, 407, 39, 558, 110, 426, 471, 614, 236, 658, 93, 397, 784, 739, 855, 145, 609, 768, 886, 128, 144, 157, 622, 331, 37, 771, 56, 697, 693, 799, 470, 469, 128, 518, 10, 999, 662, 905, 988, 835, 358, 422, 752, 300, 539, 756, 607, 495, 401, 13, 443, 586, 599, 842, 682, 114, 277, 538, 828, 918, 336, 684, 354, 292, 31, 573, 155, 535, 564, 22, 67, 735, 504, 98, 667, 708, 881, 299, 754, 336, 851, 188, 692, 169, 321, 234, 564, 977, 209, 478, 47, 141, 929, 343, 594, 856, 967, 105, 355, 603, 521, 209, 213, 806, 231, 563, 381, 867, 869, 75, 700, 692, 170, 354, 501, 558, 514, 92, 326, 959, 111, 861, 732, 178, 161, 971, 362, 344, 892, 819, 587, 867, 436, 382, 990, 992, 890, 166, 794, 350, 710, 531, 316, 112, 96, 252, 194, 776, 935, 136, 143, 29, 170, 661, 646, 256, 121, 870, 928, 199, 268, 844, 156, 573, 972, 986, 715, 884, 966, 165, 341, 399, 714, 649, 297, 504, 592, 921, 940, 484, 899, 101, 735, 420, 270, 223, 871, 382, 254, 937, 238, 347, 448, 92, 21, 351, 343, 310, 131, 570, 987, 574, 375, 871, 81, 438, 120, 192, 911, 295, 688, 279, 438, 578, 186, 328, 978, 17, 984, 403, 261, 105, 397, 394, 560, 80, 551, 334, 954, 560, 598, 505, 967, 51, 407, 859, 922, 254, 211, 494, 146, 181, 964, 944, 631, 116, 582, 330, 381, 984, 464, 35, 820, 929, 8, 9, 253, 103, 186, 159, 897, 520, 826, 62, 886, 356, 58, 291, 679, 760, 473, 329, 920, 244, 271, 307, 450, 838, 383, 675, 276, 205, 387, 102, 215, 481, 911, 370, 248, 687, 78, 48, 848, 909, 144, 115, 997, 810, 323, 380, 636, 367, 652, 935, 279, 132, 510, 976, 200, 937, 293, 214, 684, 883, 111, 851, 865, 726, 861, 62, 756, 529, 110, 855, 97, 37, 29, 624, 807, 542, 280, 790, 642, 441, 630, 475, 639, 236, 511, 293, 693, 309, 323}

    Returns: {1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 }

  104. 1000

    {532, 157, 956, 606, 146, 807, 4, 766, 628, 519, 819, 841, 71, 30, 6, 593, 801, 266, 883, 690, 777, 236, 507, 726, 398, 307, 969, 199, 105, 33, 862, 564, 340, 562, 206, 722, 783, 125, 942, 410, 682, 882, 947, 886, 530, 46, 315, 867, 2, 759, 491, 460, 822, 906, 158, 596, 124, 943, 875, 3, 444, 747, 312, 306, 709, 352, 687, 266, 470, 652, 990, 249, 968, 565, 28, 851, 744, 361, 483, 402, 911, 549, 720, 472, 93, 428, 811, 508, 720, 265, 918, 936, 444, 810, 941, 667, 144, 2, 574, 777, 636, 277, 786, 240, 770, 292, 957, 423, 689, 627, 128, 494, 129, 583, 569, 229, 940, 650, 762, 28, 423, 373, 891, 340, 683, 671, 160, 779, 521, 992, 64, 189, 746, 819, 498, 356, 668, 686, 775, 10, 499, 12, 82, 946, 607, 5, 157, 379, 36, 920, 103, 121, 933, 842, 7, 795, 659, 34, 324, 937, 942, 530, 686, 674, 298, 288, 821, 853, 126, 135, 711, 883, 88, 424, 11, 238, 184, 88, 94, 214, 870, 670, 480, 322, 960, 872, 539, 729, 882, 602, 552, 43, 192, 135, 80, 79, 485, 781, 282, 532, 70, 69, 632, 858, 186, 429, 868, 32, 558, 890, 34, 174, 401, 879, 872, 391, 260, 601, 462, 947, 256, 919, 383, 365, 716, 2, 102, 648, 995, 52, 68, 614, 35, 548, 344, 93, 118, 801, 784, 827, 656, 853, 637, 535, 279, 41, 759, 635, 825, 649, 436, 489, 752, 5, 200, 109, 977, 245, 294, 429, 200, 747, 702, 146, 424, 17, 878, 758, 455, 268, 664, 986, 346, 706, 774, 427, 951, 229, 548, 266, 872, 989, 11, 441, 637, 461, 99, 894, 39, 491, 210, 388, 204, 134, 255, 171, 419, 952, 818, 639, 27, 168, 183, 633, 999, 989, 142, 918, 803, 419, 379, 481, 521, 95, 475, 621, 295, 383, 871, 579, 654, 866, 430, 168, 129, 198, 756, 825, 949, 191, 561, 931, 658, 903, 151, 874, 724, 451, 141, 664, 887, 64, 804, 626, 68, 86, 207, 297, 16, 138, 605, 584, 871, 22, 527, 292, 829, 434, 258, 7, 540, 143, 774, 774, 589, 552, 461, 730, 402, 165, 90, 80, 458, 389, 577, 544, 944, 694, 403, 203, 274, 105, 944, 75, 611, 286, 455, 631, 150, 357, 1, 293, 561, 351, 69, 196, 335, 217, 8, 928, 977, 605, 117, 352, 246, 890, 205, 463, 133, 373, 854, 725, 790, 676, 630, 439, 310, 7, 381, 454, 772, 574, 336, 283, 452, 849, 1, 399, 226, 276, 658, 987, 145, 59, 49, 656, 131, 628, 690, 699, 922, 569, 965, 12, 295, 939, 712, 783, 483, 682, 781, 370, 358, 799, 802, 52, 799, 672, 296, 541, 987, 251, 858, 36, 760, 280, 996, 730, 133, 301, 870, 645, 701, 163, 440, 665, 551, 667, 642, 834, 950, 519, 211, 935, 513, 770, 57, 806, 371, 212, 789, 824, 921, 42, 641, 206, 554, 757, 818, 945, 346, 177, 820, 388, 125, 167, 90, 389, 57, 375, 79, 719, 125, 454, 433, 793, 994, 235, 832, 636, 88, 629, 272, 34, 18, 279, 86, 556, 778, 463, 342, 398, 392, 160, 787, 578, 284, 993, 749, 958, 715, 228, 919, 986, 524, 137, 546, 181, 250, 662, 298, 838, 332, 954, 886, 257, 886, 875, 211, 967, 649, 111, 254, 366, 93, 710, 648, 123, 289, 604, 470, 316, 297, 717, 13, 156, 567, 933, 351, 51, 531, 159, 879, 648, 170, 453, 21, 675, 509, 507, 295, 724, 677, 883, 396, 367, 378, 670, 276, 250, 841, 806, 603, 436, 663, 212, 751, 849, 229, 607, 591, 966, 716, 966, 769, 505, 331, 249, 642, 910, 912, 588, 634, 979, 931, 67, 691, 546, 588, 821, 124, 253, 999, 787, 786, 798, 943, 990, 630, 509, 138, 940, 63, 402, 449, 936, 126, 691, 397, 50, 23, 568, 776, 717, 27, 342, 242, 143, 707, 532, 959, 81, 458, 183, 762, 222, 331, 829, 959, 654, 793, 895, 672, 835, 283, 270, 54, 619, 594, 58, 509, 634, 194, 578, 382, 55, 320, 297, 595, 864, 814, 185, 89, 94, 36, 150, 430, 972, 3, 53, 704, 882, 40, 321, 653, 576, 147, 846, 545, 264, 223, 99, 72, 651, 856, 534, 598, 108, 812, 269, 207, 691, 878, 520, 943, 592, 570, 755, 255, 993, 570, 313, 923, 473, 492, 881, 620, 360, 638, 196, 242, 671, 287, 151, 449, 661, 986, 789, 26, 850, 310, 440, 506, 294, 430, 46, 382, 433, 50, 965, 384, 375, 554, 941, 898, 594, 722, 3, 342, 264, 75, 945, 360, 949, 992, 336, 43, 336, 675, 483, 443, 302, 622, 575, 458, 645, 772, 187, 710, 272, 228, 603, 850, 676, 138, 843, 909, 662, 676, 836, 66, 394, 662, 160, 446, 248, 822, 665, 571, 890, 156, 375, 208, 987, 704, 710, 159, 744, 783, 751, 380, 698, 218, 934, 108, 631, 187, 382, 226, 444, 669, 18, 642, 485, 367, 460, 557, 587, 802, 551, 403, 807, 462, 624, 492, 809, 743, 258, 855, 868, 573, 103, 357, 964, 192, 126, 457, 452, 14, 396, 82, 552, 251, 203, 790, 189, 911, 766, 604, 107, 350, 502, 794, 52, 346, 701, 535, 60, 291, 903, 333, 473, 967, 505, 767, 302, 268, 62, 117, 391, 186, 677, 654, 305, 853, 557, 611, 838, 353, 766, 443, 379, 282, 789, 469, 974, 474, 351, 53, 418, 615, 123, 183, 405, 820, 477, 92, 108, 337, 426, 57, 281, 625, 851, 17, 451, 738, 434, 683, 818, 4, 434, 917, 411, 453, 814, 387, 617, 202, 187, 243, 740, 573, 764, 992, 258, 681, 25, 67, 259, 854, 744, 400, 948, 208, 358, 479, 713, 847, 231, 199, 446, 736, 260, 132, 102, 439, 240, 991, 906, 401, 892, 66, 388, 772, 85, 728, 964, 884, 748, 875, 797, 837, 345, 621, 823, 485, 230, 333, 601, 516, 852, 60, 50, 284, 338, 980, 214, 443, 981, 477, 540, 168, 512, 176, 95, 208, 620, 695, 56, 854, 21, 94, 58, 242, 267, 838, 470, 465, 512, 825, 399, 720, 852, 577, 937, 299, 99, 985, 142, 588, 876, 115, 492, 554, 508, 847, 732, 322, 298, 372, 837, 705, 317, 756, 347, 666, 46, 894, 692, 689, 71, 871, 684, 562, 191, 102, 128, 865, 750, 186, 813, 775, 914, 831, 281, 467, 985, 98, 670, 650, 516, 141, 713, 109, 163, 232, 516, 747, 521, 803, 665, 106, 407, 879, 713, 679, 446, 956, 387, 106, 805, 743, 130, 369, 239, 81, 383, 826, 884, 792, 548, 105, 984, 511, 356, 256, 407, 899, 538, 824, 181, 124, 536, 356, 842, 596, 234, 343, 658, 238, 926, 400, 236, 156, 455, 287, 615, 401, 491, 324, 693, 426, 23, 48, 498, 732, 920, 754, 171, 380, 811, 550, 970, 91, 988, 724, 30, 851, 189, 861, 538, 933, 920, 49, 410, 767, 352, 650, 32, 468, 340, 600, 660, 846, 862, 850, 41, 497, 970, 576, 230, 984, 25, 939, 560, 592, 206, 795, 610, 975, 758, 398, 819, 621, 214, 959, 451, 18, 740, 194, 587, 647, 245, 310, 420, 651, 71, 984, 334, 767, 495, 990, 436, 560, 519, 894, 472, 195, 699, 917, 196, 908, 756, 629, 397, 666, 62, 277, 534, 365, 281, 994, 777, 211, 293, 90, 222, 466, 5, 318, 578, 471, 163, 287, 557, 413, 226, 709, 663, 994, 490, 717, 782, 524, 353, 115, 277, 333, 486, 711, 315, 70, 412, 758, 31, 275, 117, 13, 757, 43, 976, 82, 961, 661, 754, 477, 750, 323, 120, 49, 675, 104, 749, 495, 421, 607, 462, 605, 26, 167, 610, 471, 694, 523, 775, 600, 27, 718, 603, 530, 468, 77, 701, 859, 194, 900, 66, 638, 317, 759, 666, 228, 748, 900, 16, 318, 22, 525, 468, 704, 618, 570, 706, 702, 719, 549, 267, 146, 558, 170, 931, 684, 347, 874, 586, 505, 274, 341, 810, 133, 151, 754, 874, 803, 661, 711, 339, 763, 463, 867, 9, 798, 656, 814, 12, 974, 449, 331, 634, 895, 680, 120, 315, 865, 232, 893, 28, 147, 527, 809, 539, 635, 486, 628, 296, 899, 115, 439, 868, 731, 427, 977, 769, 150, 924, 855, 858, 629, 942, 195, 802, 780, 932, 645, 600, 253, 344, 974, 245, 39, 695, 121, 30, 533, 748, 540, 142, 316, 625, 197, 70, 495, 203, 800, 958, 721, 810, 541, 418, 67, 560, 950, 85, 798, 806, 878, 786, 47, 268, 782, 26, 782, 292, 11, 415, 887, 698, 623, 727, 501, 601, 222, 821, 547, 914, 120, 551, 719, 280, 768, 831, 705, 572, 140, 274, 276, 305, 200, 594, 690, 316, 651, 545, 958, 353, 321, 296, 966, 338, 837, 134, 817, 887, 147, 817, 944, 282, 870, 790, 98, 525, 440, 54, 923, 157, 575, 481, 707, 832, 313, 912, 32, 204, 122, 384, 899, 412, 23, 565, 876, 480, 873, 378, 323, 576, 970, 677, 479, 374}

    {314, 241, 556, 596, 166, 511, 145, 863, 653, 753, 737, 907, 824, 960, 616, 182, 614, 89, 729, 822, 653, 309, 567, 549, 84, 308, 359, 179, 529, 169, 991, 279, 386, 599, 566, 441, 110, 697, 794, 550, 89, 355, 668, 618, 154, 834, 784, 476, 188, 580, 113, 244, 104, 474, 643, 877, 372, 606, 785, 319, 97, 542, 599, 947, 544, 121, 582, 714, 269, 24, 216, 83, 431, 657, 270, 176, 360, 181, 927, 712, 421, 231, 729, 45, 510, 801, 728, 368, 703, 644, 320, 73, 816, 140, 278, 998, 577, 113, 45, 978, 130, 101, 293, 681, 921, 946, 526, 643, 697, 953, 119, 706, 678, 707, 536, 185, 417, 703, 523, 500, 56, 8, 537, 29, 273, 269, 901, 904, 972, 130, 169, 988, 220, 447, 100, 723, 325, 158, 686, 488, 380, 930, 981, 842, 687, 718, 225, 29, 494, 191, 369, 951, 725, 51, 188, 619, 422, 752, 223, 42, 92, 864, 833, 155, 684, 153, 64, 896, 730, 788, 964, 13, 221, 201, 785, 438, 139, 328, 564, 44, 805, 79, 881, 271, 918, 857, 792, 697, 579, 313, 952, 913, 111, 415, 669, 502, 341, 55, 129, 660, 520, 885, 119, 869, 304, 961, 225, 97, 348, 253, 174, 903, 98, 581, 45, 24, 320, 300, 559, 836, 328, 136, 301, 660, 56, 796, 450, 924, 604, 442, 805, 734, 982, 811, 113, 412, 696, 300, 123, 515, 512, 626, 905, 972, 165, 581, 91, 559, 501, 307, 132, 408, 272, 486, 592, 598, 149, 249, 796, 361, 482, 252, 602, 627, 220, 414, 674, 261, 800, 830, 14, 54, 110, 350, 900, 908, 284, 909, 139, 408, 15, 101, 980, 876, 873, 572, 61, 179, 622, 97, 364, 452, 954, 456, 450, 330, 254, 770, 409, 581, 533, 725, 369, 689, 394, 288, 632, 921, 135, 475, 685, 19, 407, 224, 478, 394, 441, 299, 339, 787, 286, 542, 144, 845, 571, 280, 517, 553, 371, 374, 173, 553, 937, 420, 898, 584, 572, 10, 537, 891, 390, 464, 844, 620, 948, 735, 343, 153, 9, 201, 244, 496, 926, 647, 395, 563, 764, 164, 349, 745, 329, 489, 616, 522, 464, 241, 503, 893, 511, 638, 830, 997, 869, 409, 624, 432, 112, 533, 450, 131, 999, 6, 148, 61, 978, 585, 815, 733, 363, 568, 714, 935, 618, 909, 73, 528, 237, 304, 416, 915, 309, 571, 583, 273, 365, 973, 949, 639, 167, 416, 823, 73, 923, 591, 771, 122, 37, 816, 166, 14, 597, 136, 155, 137, 755, 119, 655, 341, 503, 370, 969, 589, 424, 447, 579, 262, 741, 91, 104, 263, 106, 760, 72, 902, 568, 938, 472, 31, 500, 655, 927, 37, 979, 288, 59, 493, 715, 981, 843, 490, 447, 392, 590, 78, 965, 332, 240, 459, 291, 403, 317, 610, 995, 727, 700, 493, 488, 178, 664, 473, 513, 827, 251, 264, 487, 190, 971, 300, 263, 484, 397, 589, 841, 378, 255, 48, 386, 593, 553, 166, 271, 799, 873, 859, 573, 291, 562, 856, 839, 808, 8, 217, 35, 791, 700, 325, 643, 95, 205, 158, 175, 902, 377, 391, 742, 859, 478, 820, 423, 308, 127, 498, 504, 148, 731, 598, 515, 219, 547, 975, 75, 80, 857, 354, 590, 230, 962, 861, 599, 184, 888, 305, 587, 418, 526, 396, 100, 417, 609, 132, 528, 454, 86, 290, 504, 723, 907, 892, 250, 366, 539, 497, 355, 6, 354, 745, 809, 69, 257, 385, 649, 361, 236, 688, 275, 325, 768, 210, 584, 499, 219, 323, 639, 644, 278, 220, 359, 905, 173, 312, 225, 0, 252, 696, 15, 761, 591, 465, 503, 673, 233, 668, 393, 38, 213, 184, 327, 761, 445, 936, 843, 613, 734, 199, 409, 555, 431, 910, 195, 33, 72, 788, 908, 330, 935, 901, 969, 40, 215, 797, 311, 785, 545, 136, 414, 164, 544, 983, 335, 797, 619, 722, 508, 529, 411, 795, 256, 733, 813, 985, 387, 198, 932, 773, 566, 586, 866, 393, 844, 172, 38, 738, 640, 438, 693, 929, 644, 847, 22, 840, 143, 750, 761, 625, 111, 927, 190, 171, 16, 154, 324, 278, 384, 152, 62, 980, 247, 667, 726, 466, 746, 177, 897, 327, 179, 116, 982, 42, 178, 928, 459, 330, 683, 21, 261, 712, 940, 428, 39, 207, 925, 204, 863, 433, 877, 432, 880, 765, 326, 180, 895, 976, 679, 131, 216, 170, 239, 55, 564, 308, 175, 925, 955, 237, 929, 569, 633, 898, 967, 828, 370, 866, 103, 745, 201, 518, 442, 543, 408, 739, 975, 996, 685, 74, 404, 808, 585, 231, 889, 915, 355, 381, 182, 197, 425, 399, 227, 673, 817, 815, 286, 696, 939, 953, 524, 110, 48, 112, 993, 174, 428, 327, 659, 932, 367, 159, 74, 913, 751, 453, 784, 347, 376, 877, 29, 429, 930, 304, 522, 175, 188, 364, 623, 743, 736, 922, 303, 929, 322, 233, 812, 210, 832, 740, 997, 496, 901, 141, 950, 337, 456, 563, 442, 582, 679, 678, 480, 488, 737, 884, 641, 202, 238, 4, 87, 96, 169, 831, 624, 688, 65, 374, 172, 938, 217, 335, 694, 152, 445, 487, 376, 914, 510, 741, 247, 834, 687, 155, 349, 630, 78, 637, 373, 537, 224, 290, 608, 243, 460, 24, 422, 518, 76, 227, 520, 118, 205, 326, 162, 465, 192, 193, 180, 306, 314, 612, 860, 474, 565, 674, 357, 85, 529, 893, 162, 420, 68, 461, 469, 248, 285, 845, 506, 435, 738, 393, 905, 734, 294, 506, 47, 400, 107, 484, 500, 332, 956, 962, 951, 693, 746, 910, 77, 213, 306, 404, 844, 479, 15, 359, 829, 40, 265, 636, 60, 127, 698, 752, 885, 309, 857, 182, 523, 906, 916, 586, 197, 193, 889, 344, 413, 114, 247, 688, 902, 350, 262, 448, 849, 435, 961, 546, 845, 755, 762, 971, 657, 812, 10, 152, 363, 1, 646, 609, 427, 807, 318, 261, 828, 0, 476, 567, 425, 631, 536, 860, 732, 742, 922, 329, 778, 640, 555, 475, 83, 31, 127, 246, 92, 833, 727, 647, 395, 154, 422, 334, 948, 595, 128, 773, 835, 848, 354, 904, 311, 721, 517, 731, 896, 25, 246, 234, 216, 271, 114, 808, 995, 107, 897, 301, 865, 563, 692, 38, 641, 946, 608, 998, 338, 685, 982, 737, 363, 888, 617, 254, 517, 991, 827, 997, 445, 615, 764, 960, 334, 953, 919, 963, 861, 556, 265, 421, 791, 531, 926, 534, 100, 867, 209, 741, 826, 891, 723, 518, 259, 41, 855, 718, 880, 881, 180, 793, 33, 716, 419, 749, 285, 888, 828, 583, 925, 728, 161, 257, 574, 234, 659, 63, 852, 218, 362, 968, 753, 273, 585, 514, 708, 172, 671, 148, 137, 771, 627, 193, 726, 17, 0, 466, 968, 319, 459, 389, 735, 623, 597, 84, 339, 262, 593, 715, 96, 913, 839, 538, 558, 998, 487, 952, 83, 178, 912, 263, 885, 122, 101, 386, 700, 760, 633, 337, 510, 839, 973, 963, 112, 652, 328, 149, 20, 218, 252, 438, 513, 652, 499, 406, 237, 945, 366, 934, 682, 501, 37, 362, 514, 646, 411, 81, 385, 897, 484, 198, 448, 176, 232, 862, 996, 20, 437, 349, 116, 84, 235, 840, 561, 739, 580, 202, 239, 617, 613, 149, 514, 326, 864, 432, 988, 494, 177, 467, 963, 602, 778, 580, 869, 165, 289, 413, 285, 692, 863, 417, 259, 467, 134, 19, 348, 185, 404, 823, 425, 321, 763, 457, 609, 657, 934, 153, 221, 971, 622, 962, 490, 392, 635, 224, 612, 53, 35, 800, 376, 566, 672, 983, 739, 414, 833, 955, 74, 77, 61, 776, 58, 626, 526, 673, 848, 856, 616, 840, 522, 235, 307, 612, 702, 243, 788, 769, 410, 543, 76, 345, 613, 267, 527, 9, 244, 555, 928, 435, 978, 63, 456, 915, 763, 792, 582, 448, 59, 233, 311, 173, 794, 299, 597, 791, 319, 290, 575, 979, 804, 283, 78, 51, 655, 860, 329, 385, 911, 779, 161, 709, 757, 489, 415, 753, 779, 215, 678, 471, 848, 212, 606, 478, 482, 118, 377, 270, 542, 680, 416, 955, 547, 164, 515, 406, 482, 781, 703, 765, 780, 595, 835, 47, 358, 303, 904, 87, 773, 924, 989, 44, 528, 804, 109, 241, 736, 504, 302, 880, 896, 20, 96, 590, 87, 826, 221, 816, 632, 343, 780, 502, 372, 260, 481, 765, 227, 377, 464, 215, 699, 543, 957, 535, 815, 733, 708, 507, 116, 431, 892, 390, 437, 114, 708, 669, 476, 395, 705, 289, 19, 930, 275, 742, 771, 973, 406, 768, 916, 663, 559, 680, 611, 362, 314, 190, 917, 813, 493, 469, 368, 916, 550, 941, 938, 646, 390, 836, 223, 364, 76, 525, 776, 608, 496, 640, 209, 248, 405, 348, 44, 614, 368, 957, 65, 681, 846, 161, 405, 145, 983, 497, 209, 65, 144, 907, 976, 457, 162, 312, 381, 954, 796, 303, 735, 714, 140, 345, 889, 139, 219, 213, 695, 721, 437, 541, 371, 531, 830, 426}

    Returns: {0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0 }

  105. 1000

    {0, 319, 645, 862, 185, 489, 885, 697, 375, 581, 475, 732, 429, 442, 232, 272, 946, 791, 298, 620, 592, 302, 201, 48, 356, 943, 799, 623, 636, 667, 657, 1, 723, 176, 715, 303, 10, 297, 271, 609, 976, 962, 44, 983, 218, 710, 411, 120, 309, 419, 517, 69, 303, 52, 415, 754, 471, 630, 325, 518, 414, 772, 0, 86, 271, 439, 176, 228, 659, 894, 101, 187, 582, 135, 975, 125, 693, 969, 830, 627, 213, 337, 627, 150, 861, 860, 417, 268, 574, 139, 885, 140, 518, 591, 30, 491, 3, 529, 474, 664, 248, 756, 74, 641, 449, 522, 653, 511, 362, 80, 703, 567, 496, 155, 398, 559, 931, 727, 995, 588, 965, 981, 308, 567, 534, 931, 556, 545, 64, 730, 100, 91, 984, 846, 989, 417, 102, 744, 766, 204, 142, 86, 905, 249, 38, 704, 523, 484, 937, 816, 757, 150, 555, 13, 736, 830, 670, 526, 671, 16, 181, 564, 968, 920, 520, 296, 142, 490, 655, 413, 707, 38, 287, 313, 234, 711, 202, 576, 708, 982, 165, 481, 126, 515, 849, 177, 420, 57, 637, 292, 593, 732, 437, 260, 270, 160, 289, 234, 84, 346, 674, 701, 282, 999, 196, 926, 724, 135, 724, 344, 176, 213, 620, 641, 390, 526, 573, 478, 280, 748, 651, 308, 154, 38, 128, 615, 740, 768, 959, 601, 142, 2, 581, 223, 512, 952, 947, 266, 503, 491, 884, 295, 864, 67, 424, 139, 99, 79, 868, 821, 336, 24, 7, 519, 384, 36, 344, 684, 639, 680, 787, 686, 304, 709, 741, 648, 722, 147, 268, 170, 905, 896, 789, 760, 145, 946, 219, 149, 893, 675, 733, 373, 932, 316, 714, 609, 345, 803, 747, 61, 435, 697, 117, 844, 35, 101, 640, 157, 658, 564, 533, 830, 765, 110, 559, 211, 459, 666, 493, 28, 28, 302, 34, 401, 687, 820, 994, 866, 259, 981, 599, 533, 805, 278, 296, 273, 927, 372, 714, 424, 719, 10, 802, 563, 904, 427, 463, 655, 847, 913, 272, 791, 924, 721, 559, 836, 589, 422, 829, 980, 851, 993, 210, 788, 934, 339, 614, 898, 381, 912, 236, 517, 424, 474, 113, 518, 95, 851, 893, 217, 146, 657, 879, 848, 814, 70, 169, 680, 757, 427, 9, 961, 44, 879, 970, 733, 821, 399, 612, 100, 928, 750, 97, 915, 601, 232, 598, 636, 699, 16, 813, 675, 779, 426, 866, 461, 611, 808, 926, 333, 232, 19, 686, 545, 274, 867, 484, 413, 796, 473, 827, 531, 47, 358, 195, 493, 341, 56, 380, 930, 549, 108, 844, 555, 736, 837, 373, 387, 597, 370, 652, 11, 117, 764, 574, 173, 500, 678, 834, 421, 480, 579, 50, 850, 481, 937, 552, 957, 817, 998, 397, 552, 585, 538, 455, 77, 517, 389, 251, 5, 73, 149, 788, 879, 700, 227, 41, 918, 724, 245, 297, 471, 548, 61, 94, 698, 238, 358, 577, 710, 282, 372, 814, 549, 18, 777, 122, 689, 151, 40, 643, 304, 416, 870, 5, 274, 244, 337, 842, 249, 460, 968, 190, 221, 175, 314, 510, 855, 278, 459, 448, 139, 583, 423, 509, 941, 426, 914, 660, 616, 538, 380, 236, 260, 407, 822, 283, 254, 357, 304, 987, 465, 994, 717, 693, 940, 158, 839, 480, 267, 819, 387, 356, 648, 868, 126, 324, 646, 823, 12, 853, 610, 159, 704, 186, 141, 336, 860, 128, 111, 751, 519, 224, 111, 625, 63, 112, 837, 510, 853, 389, 584, 350, 377, 227, 658, 293, 777, 55, 543, 979, 652, 752, 944, 935, 655, 237, 450, 686, 29, 495, 97, 371, 194, 862, 165, 749, 61, 463, 410, 64, 227, 129, 118, 77, 812, 154, 640, 291, 489, 790, 817, 740, 778, 974, 752, 30, 211, 557, 427, 584, 979, 642, 528, 36, 542, 948, 835, 690, 610, 780, 282, 256, 709, 922, 326, 487, 163, 763, 505, 47, 353, 22, 874, 215, 646, 825, 99, 572, 207, 566, 443, 381, 502, 377, 575, 722, 665, 486, 893, 259, 12, 201, 230, 918, 407, 964, 905, 235, 324, 591, 140, 351, 254, 726, 313, 215, 144, 461, 811, 334, 813, 322, 702, 103, 432, 715, 249, 911, 532, 437, 627, 999, 715, 136, 97, 389, 181, 186, 364, 796, 745, 423, 435, 553, 89, 328, 745, 847, 766, 268, 223, 874, 598, 532, 315, 319, 84, 534, 162, 540, 851, 380, 398, 218, 745, 15, 344, 126, 827, 882, 728, 572, 113, 123, 935, 150, 292, 57, 436, 220, 153, 494, 387, 962, 385, 405, 698, 328, 121, 258, 446, 765, 786, 970, 707, 365, 628, 735, 376, 838, 676, 373, 709, 269, 750, 516, 302, 803, 582, 379, 263, 251, 539, 646, 399, 385, 892, 936, 172, 588, 135, 869, 841, 168, 952, 195, 938, 883, 192, 475, 856, 708, 310, 567, 316, 492, 286, 900, 637, 713, 53, 768, 869, 700, 131, 719, 985, 747, 210, 237, 952, 920, 278, 392, 341, 456, 514, 453, 326, 155, 479, 767, 562, 483, 400, 109, 983, 653, 392, 59, 284, 479, 127, 395, 489, 907, 92, 125, 483, 920, 815, 165, 932, 947, 542, 432, 18, 769, 862, 600, 19, 529, 382, 194, 120, 337, 384, 133, 649, 764, 975, 416, 435, 428, 789, 723, 548, 812, 508, 624, 201, 350, 156, 800, 910, 565, 864, 323, 42, 286, 401, 568, 24, 48, 691, 959, 720, 44, 409, 349, 765, 247, 495, 420, 331, 984, 506, 595, 509, 51, 593, 726, 970, 579, 590, 521, 162, 535, 101, 481, 405, 415, 929, 443, 507, 901, 464, 937, 787, 590, 748, 326, 813, 383, 149, 744, 807, 690, 599, 960, 539, 154, 831, 844, 901, 131, 95, 414, 605, 520, 339, 989, 505, 322, 824, 731, 701, 757, 9, 931, 141, 485, 40, 922, 768, 418, 618, 943, 392, 256, 832, 593, 544, 403, 108, 907, 492, 395, 629, 127, 900, 990, 866, 488, 825, 151, 9, 410, 591, 362, 59, 191, 471, 281, 455, 610, 979, 233, 657, 574, 986, 53, 614, 121, 129, 665, 631, 4, 998, 654, 978, 963, 553, 901, 77, 358, 664, 653, 247, 329, 690, 602, 136, 836, 946, 291, 613, 109, 582, 229, 283, 492, 233, 247, 791, 999, 565, 927, 1, 442, 784, 226, 880, 450, 71, 750, 79, 910, 109, 168, 67, 81, 72, 621, 656, 990, 670, 691, 464, 11, 868, 784, 499, 22, 853, 936, 804, 398, 123, 324, 502, 911, 557, 974, 943, 494, 2, 884, 206, 338, 713, 856, 267, 779, 84, 345, 847, 388, 323, 128, 132, 516, 168, 786, 671, 290, 737, 523, 818, 255, 696, 476, 630, 877, 880, 18, 562, 775, 431, 521, 536, 233, 643, 103, 615, 607, 723, 212, 89, 993, 826, 133, 399, 289, 621, 443, 767, 666, 854, 131, 505, 728, 115, 953, 394, 562, 554, 107, 752, 453, 856, 507, 230, 737, 469, 53, 878, 191, 982, 158, 341, 928, 904, 834, 210, 981, 820, 430, 21, 870, 359, 359, 24, 495, 81, 94, 613, 488, 512, 19, 998, 720, 137, 875, 790, 108, 925, 218, 699, 157, 740, 703, 639, 823, 223, 98, 234, 127, 74, 590, 603, 697, 623, 450, 748, 563, 236, 720, 681, 370, 820, 575, 693, 476, 175, 771, 55, 936, 802, 155, 468, 297, 662, 598, 950, 764, 446, 57, 69, 749, 185, 382, 758, 754, 151, 583, 755, 628, 490, 426, 122, 563, 580, 934, 982, 330, 345, 621, 579, 418, 272, 576, 875, 364, 565, 721, 803, 366, 362, 929, 3, 933, 468, 796, 609, 428, 169, 62, 64, 529, 896, 790, 596, 40, 944, 213, 588, 581, 603, 94, 719, 405, 494, 614, 355, 333, 220, 452, 403, 558, 699, 308, 15, 612, 430, 669, 586, 421, 934, 558, 231, 194, 927, 884, 73, 531, 160, 171, 760, 842, 298, 613, 407, 721, 564, 271, 698, 215, 854, 409, 528, 27, 835, 887, 5, 910, 137, 184, 388, 122, 117, 822, 623, 761, 192, 200, 335, 314, 837, 776, 240, 538, 486, 839, 573, 378, 499, 730, 875, 475, 51, 123, 141, 288, 172, 786, 124, 262, 524, 783, 874, 51, 316, 932, 985, 617, 374, 74, 334, 486, 525, 102, 676, 382, 930, 137, 714, 615, 877, 195, 179, 39, 433, 330, 335, 413, 636, 491, 453, 397, 675, 85, 14, 485, 700, 739, 521, 776, 85, 894, 120, 990, 759, 641, 944, 628, 629, 945, 828, 328, 430, 777, 320, 881, 603, 744, 957, 710, 62, 662, 995, 528, 779, 826, 72, 410, 713, 652, 437, 814, 338, 415, 335, 894, 436, 100, 878, 468, 877, 855, 855, 771, 620, 895, 502, 718, 848, 819, 460, 890, 717, 85, 729, 177, 230, 15, 496, 22, 470, 512, 50, 929, 384, 339, 667, 160, 1, 488, 826, 516, 718, 711, 940, 678, 933, 238, 632, 237, 933, 298, 705, 942, 511, 666, 386, 156, 969, 835, 592, 532, 914, 842, 113, 994, 145, 248, 654, 403, 612, 62, 984, 402, 386, 753, 421, 200, 69, 995, 514}

    {332, 781, 523, 78, 841, 458, 498, 899, 455, 809, 167, 677, 214, 306, 902, 960, 187, 961, 606, 498, 712, 510, 876, 921, 642, 809, 575, 229, 882, 857, 292, 898, 681, 983, 212, 804, 7, 611, 625, 200, 251, 309, 838, 462, 466, 833, 774, 4, 16, 79, 865, 878, 456, 594, 2, 34, 831, 871, 336, 785, 207, 259, 174, 219, 626, 189, 39, 86, 737, 13, 674, 683, 903, 35, 683, 242, 114, 212, 303, 400, 956, 241, 409, 360, 277, 705, 530, 792, 733, 276, 561, 202, 533, 393, 305, 618, 500, 134, 756, 578, 950, 356, 351, 858, 939, 158, 729, 977, 318, 634, 441, 743, 663, 189, 439, 568, 554, 323, 52, 916, 157, 56, 275, 37, 906, 203, 312, 222, 422, 915, 119, 440, 245, 285, 753, 412, 317, 27, 807, 716, 33, 37, 755, 525, 996, 705, 945, 235, 644, 222, 216, 712, 829, 188, 743, 906, 537, 988, 939, 642, 13, 83, 535, 385, 632, 245, 783, 899, 116, 530, 342, 63, 178, 188, 716, 811, 888, 14, 104, 469, 595, 209, 116, 854, 417, 244, 566, 320, 65, 91, 42, 105, 25, 438, 428, 6, 242, 204, 98, 447, 305, 797, 411, 490, 678, 258, 660, 183, 633, 682, 954, 889, 183, 310, 821, 465, 253, 460, 343, 378, 848, 425, 204, 352, 917, 665, 930, 886, 986, 473, 445, 205, 556, 704, 444, 295, 903, 900, 673, 447, 114, 364, 368, 472, 381, 395, 645, 804, 67, 354, 366, 805, 644, 355, 239, 845, 535, 182, 391, 673, 773, 818, 366, 134, 738, 541, 500, 484, 755, 93, 66, 221, 115, 672, 831, 683, 974, 17, 99, 49, 214, 570, 696, 276, 371, 871, 824, 772, 65, 102, 145, 661, 938, 285, 896, 774, 694, 457, 902, 367, 800, 49, 551, 199, 817, 406, 950, 56, 589, 887, 650, 716, 68, 687, 549, 31, 217, 208, 75, 677, 26, 794, 839, 130, 829, 58, 300, 161, 446, 780, 289, 622, 685, 651, 971, 42, 501, 174, 88, 997, 823, 541, 81, 651, 996, 852, 718, 169, 148, 967, 513, 619, 45, 780, 463, 174, 246, 493, 4, 637, 663, 602, 608, 915, 281, 852, 83, 332, 166, 870, 334, 91, 440, 269, 462, 241, 806, 503, 448, 730, 464, 414, 140, 243, 661, 891, 132, 21, 762, 318, 661, 119, 171, 161, 383, 301, 80, 557, 353, 161, 527, 110, 279, 923, 654, 357, 458, 348, 349, 571, 6, 325, 465, 816, 82, 858, 301, 631, 506, 570, 963, 758, 522, 379, 290, 371, 895, 732, 226, 616, 265, 973, 867, 992, 585, 263, 739, 11, 991, 939, 408, 170, 972, 604, 288, 977, 648, 832, 434, 515, 196, 550, 867, 773, 257, 622, 354, 660, 845, 827, 197, 390, 276, 331, 596, 617, 524, 742, 315, 433, 828, 558, 451, 252, 701, 644, 940, 80, 496, 762, 601, 883, 467, 351, 483, 21, 346, 635, 322, 738, 774, 294, 694, 469, 810, 243, 706, 507, 377, 587, 25, 244, 343, 266, 478, 996, 770, 864, 60, 798, 255, 619, 476, 885, 978, 98, 908, 411, 736, 23, 497, 112, 106, 688, 458, 798, 375, 164, 663, 89, 583, 845, 374, 625, 379, 955, 332, 604, 485, 551, 406, 734, 72, 605, 209, 239, 312, 692, 892, 193, 647, 406, 649, 207, 815, 255, 172, 252, 897, 20, 725, 264, 694, 537, 70, 202, 88, 270, 360, 840, 553, 857, 860, 478, 370, 82, 130, 29, 669, 32, 966, 602, 543, 679, 390, 607, 60, 299, 659, 545, 976, 525, 459, 445, 818, 513, 961, 534, 129, 342, 501, 416, 95, 153, 193, 327, 763, 647, 46, 942, 391, 638, 924, 972, 541, 887, 104, 159, 751, 383, 467, 977, 616, 840, 585, 695, 197, 170, 92, 756, 909, 136, 975, 34, 82, 941, 250, 810, 958, 807, 908, 368, 96, 8, 243, 692, 749, 180, 396, 916, 198, 6, 250, 498, 514, 922, 681, 945, 178, 722, 795, 66, 451, 783, 953, 235, 329, 214, 647, 706, 965, 916, 281, 457, 240, 275, 401, 138, 301, 953, 863, 578, 286, 206, 540, 363, 898, 205, 949, 708, 674, 895, 543, 527, 881, 761, 347, 542, 221, 188, 546, 33, 208, 956, 163, 925, 429, 180, 368, 873, 537, 859, 321, 955, 838, 832, 163, 479, 673, 404, 198, 775, 725, 873, 717, 872, 792, 968, 419, 799, 682, 778, 352, 164, 960, 508, 46, 619, 778, 456, 746, 618, 32, 103, 166, 702, 917, 307, 65, 143, 577, 825, 741, 987, 187, 288, 599, 253, 605, 179, 548, 586, 144, 552, 843, 263, 906, 863, 482, 928, 958, 269, 985, 321, 671, 746, 173, 908, 257, 262, 76, 10, 180, 770, 299, 573, 742, 863, 306, 550, 520, 911, 87, 299, 124, 87, 861, 156, 73, 626, 466, 751, 608, 59, 228, 219, 706, 833, 746, 262, 167, 216, 254, 873, 597, 293, 948, 570, 801, 425, 3, 340, 677, 808, 121, 702, 418, 967, 431, 957, 164, 327, 919, 462, 348, 445, 305, 182, 519, 466, 285, 956, 595, 253, 228, 989, 560, 454, 656, 130, 891, 248, 14, 761, 912, 544, 346, 321, 966, 773, 949, 205, 50, 630, 497, 811, 70, 892, 196, 372, 886, 294, 171, 883, 775, 118, 391, 340, 273, 859, 973, 26, 246, 115, 876, 947, 76, 71, 422, 962, 849, 972, 531, 633, 645, 45, 991, 763, 888, 225, 918, 177, 869, 951, 611, 935, 148, 776, 576, 753, 447, 294, 909, 941, 58, 760, 28, 607, 909, 186, 457, 800, 770, 556, 138, 152, 965, 624, 29, 501, 402, 296, 190, 106, 96, 250, 787, 504, 291, 876, 90, 503, 711, 306, 8, 257, 60, 367, 546, 181, 20, 261, 795, 536, 816, 162, 923, 986, 497, 184, 46, 330, 949, 369, 307, 793, 685, 592, 198, 793, 473, 480, 649, 843, 96, 991, 118, 925, 348, 547, 606, 119, 951, 408, 396, 448, 58, 797, 35, 239, 175, 134, 153, 822, 794, 152, 766, 363, 634, 252, 105, 834, 806, 859, 206, 734, 966, 317, 788, 199, 843, 311, 802, 394, 668, 25, 425, 43, 355, 634, 643, 300, 726, 477, 881, 474, 452, 767, 397, 667, 635, 261, 921, 467, 340, 587, 544, 919, 43, 589, 913, 182, 511, 973, 419, 30, 311, 199, 320, 71, 789, 400, 734, 311, 997, 17, 850, 506, 971, 597, 224, 225, 659, 992, 347, 561, 442, 49, 871, 48, 277, 23, 287, 882, 808, 319, 819, 88, 672, 886, 824, 604, 958, 203, 797, 682, 353, 551, 124, 569, 54, 354, 36, 265, 638, 231, 812, 954, 280, 988, 0, 432, 805, 689, 568, 279, 846, 293, 670, 434, 650, 992, 349, 587, 26, 429, 436, 639, 889, 735, 444, 477, 41, 606, 17, 461, 312, 107, 105, 890, 784, 632, 696, 388, 550, 578, 55, 78, 971, 472, 959, 43, 923, 672, 159, 560, 569, 7, 727, 265, 781, 359, 798, 229, 184, 107, 742, 729, 781, 264, 454, 331, 527, 754, 193, 106, 112, 45, 185, 865, 539, 365, 487, 725, 969, 87, 279, 166, 897, 147, 209, 735, 343, 216, 90, 270, 993, 608, 386, 530, 75, 327, 408, 635, 963, 762, 192, 361, 307, 191, 594, 912, 143, 668, 68, 318, 679, 39, 600, 365, 375, 865, 795, 964, 295, 472, 167, 759, 31, 132, 440, 396, 731, 352, 374, 277, 988, 47, 41, 376, 152, 280, 594, 629, 203, 687, 394, 658, 357, 679, 110, 90, 246, 948, 258, 691, 438, 75, 680, 92, 792, 369, 116, 444, 987, 439, 93, 727, 580, 806, 688, 178, 240, 914, 546, 695, 125, 378, 522, 508, 743, 347, 515, 412, 577, 903, 980, 222, 300, 739, 284, 338, 904, 27, 555, 138, 104, 333, 785, 78, 889, 676, 569, 664, 772, 997, 226, 143, 441, 402, 954, 404, 76, 919, 626, 980, 52, 470, 586, 794, 23, 692, 951, 858, 771, 283, 801, 183, 880, 560, 921, 662, 828, 275, 728, 449, 689, 8, 524, 707, 224, 926, 924, 738, 361, 264, 12, 536, 309, 284, 897, 54, 441, 888, 891, 861, 622, 907, 857, 584, 225, 32, 782, 37, 712, 566, 369, 633, 317, 241, 631, 899, 833, 438, 189, 482, 942, 83, 769, 274, 650, 793, 640, 261, 452, 846, 412, 217, 238, 434, 146, 685, 782, 350, 600, 431, 509, 290, 93, 917, 872, 451, 267, 367, 688, 33, 133, 504, 703, 955, 477, 809, 841, 801, 785, 220, 850, 361, 849, 504, 938, 260, 190, 624, 872, 978, 561, 179, 208, 329, 684, 902, 325, 810, 363, 799, 454, 342, 540, 173, 146, 197, 273, 287, 526, 815, 967, 231, 741, 433, 852, 976, 360, 747, 144, 668, 554, 68, 242, 404, 314, 310, 66, 393, 840, 31, 147, 571, 487, 313, 63, 759, 669, 482, 393, 513, 782, 499, 617, 111, 580, 211, 572, 758, 769, 470, 964, 656, 423, 54, 315, 731, 684, 890, 266, 913, 695, 376, 256, 148, 547, 20, 114, 547, 420, 836, 596, 638, 449, 571}

    Returns: {0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0 }

  106. 1000

    {404, 388, 966, 264, 163, 656, 963, 137, 177, 999, 562, 3, 841, 599, 545, 23, 254, 843, 897, 513, 64, 28, 229, 392, 478, 282, 725, 786, 800, 747, 493, 604, 144, 558, 166, 782, 6, 81, 869, 707, 418, 867, 534, 588, 155, 525, 240, 410, 179, 896, 531, 766, 165, 466, 905, 180, 773, 161, 91, 100, 765, 92, 309, 421, 540, 828, 881, 600, 210, 53, 945, 958, 380, 226, 19, 495, 631, 281, 893, 701, 947, 662, 503, 493, 985, 205, 520, 82, 574, 879, 790, 305, 303, 49, 901, 293, 940, 396, 582, 809, 288, 403, 529, 311, 20, 114, 616, 315, 630, 76, 132, 309, 605, 12, 553, 201, 791, 191, 51, 910, 959, 70, 197, 589, 938, 97, 343, 554, 976, 819, 320, 274, 512, 38, 707, 456, 667, 664, 513, 833, 929, 812, 111, 587, 108, 19, 206, 688, 441, 24, 565, 752, 289, 761, 854, 68, 87, 301, 745, 923, 838, 430, 602, 736, 806, 466, 72, 618, 474, 619, 559, 566, 610, 701, 408, 853, 373, 704, 671, 572, 157, 319, 835, 728, 102, 709, 24, 750, 885, 593, 614, 163, 488, 979, 452, 162, 614, 667, 188, 582, 283, 944, 469, 775, 987, 307, 161, 621, 719, 93, 340, 769, 677, 703, 666, 922, 733, 604, 443, 517, 102, 211, 703, 910, 181, 94, 37, 162, 476, 271, 640, 295, 934, 254, 340, 105, 353, 504, 370, 704, 902, 197, 797, 450, 878, 4, 220, 295, 316, 305, 330, 85, 683, 712, 482, 918, 928, 997, 559, 800, 296, 880, 458, 143, 841, 201, 12, 657, 588, 202, 533, 630, 509, 439, 554, 337, 139, 184, 904, 713, 950, 617, 805, 156, 951, 115, 727, 588, 854, 830, 316, 646, 180, 78, 454, 325, 31, 906, 525, 455, 877, 90, 514, 642, 926, 581, 968, 638, 711, 86, 492, 69, 573, 149, 112, 591, 695, 763, 508, 507, 785, 966, 223, 33, 515, 232, 558, 153, 925, 803, 58, 262, 770, 783, 529, 977, 158, 34, 535, 689, 957, 737, 66, 967, 145, 171, 793, 6, 292, 899, 502, 894, 420, 753, 286, 995, 480, 913, 3, 898, 484, 385, 962, 332, 27, 727, 426, 548, 439, 730, 194, 237, 109, 596, 738, 124, 477, 413, 143, 621, 387, 122, 644, 549, 741, 464, 397, 319, 38, 702, 3, 75, 396, 269, 649, 265, 437, 888, 39, 765, 46, 308, 435, 716, 934, 668, 871, 713, 322, 656, 615, 911, 832, 488, 864, 1, 348, 789, 741, 435, 801, 808, 407, 913, 542, 677, 274, 353, 981, 644, 214, 244, 365, 873, 475, 586, 586, 169, 669, 714, 468, 748, 673, 892, 441, 637, 408, 651, 520, 949, 740, 448, 322, 859, 810, 844, 965, 148, 970, 902, 933, 538, 392, 431, 880, 465, 680, 850, 755, 863, 288, 610, 895, 922, 734, 547, 144, 181, 757, 797, 697, 414, 659, 114, 954, 145, 800, 130, 567, 531, 626, 637, 737, 741, 606, 949, 109, 394, 961, 42, 881, 832, 942, 541, 959, 834, 619, 884, 360, 524, 164, 660, 325, 916, 599, 154, 927, 414, 569, 937, 623, 796, 976, 232, 404, 419, 505, 883, 47, 442, 880, 50, 419, 128, 804, 494, 977, 45, 566, 845, 177, 447, 732, 841, 324, 680, 147, 610, 16, 50, 852, 389, 614, 408, 72, 21, 368, 286, 630, 832, 333, 801, 919, 734, 748, 774, 388, 689, 846, 862, 949, 770, 207, 873, 907, 201, 566, 265, 607, 214, 673, 942, 440, 524, 330, 929, 641, 582, 133, 432, 844, 790, 664, 105, 19, 179, 945, 552, 604, 874, 125, 803, 495, 552, 170, 550, 493, 400, 537, 357, 570, 963, 852, 149, 668, 731, 93, 931, 920, 821, 694, 356, 256, 677, 561, 925, 176, 30, 563, 643, 587, 548, 684, 129, 426, 411, 326, 385, 4, 128, 98, 564, 744, 50, 816, 596, 761, 197, 470, 392, 484, 187, 313, 584, 354, 699, 850, 365, 934, 699, 451, 400, 261, 367, 953, 89, 680, 134, 996, 561, 567, 789, 997, 829, 209, 779, 979, 950, 354, 745, 210, 74, 849, 191, 474, 989, 907, 85, 678, 711, 435, 102, 626, 660, 331, 271, 480, 884, 547, 524, 801, 859, 324, 438, 689, 627, 504, 906, 698, 622, 719, 112, 607, 811, 423, 315, 703, 942, 601, 461, 208, 994, 389, 210, 889, 945, 379, 648, 261, 146, 326, 839, 732, 578, 691, 476, 593, 620, 664, 649, 118, 505, 547, 574, 658, 863, 262, 817, 830, 665, 718, 796, 220, 948, 666, 660, 813, 233, 140, 686, 416, 745, 80, 537, 752, 219, 638, 672, 275, 909, 890, 364, 206, 885, 141, 857, 653, 427, 885, 626, 860, 690, 862, 340, 104, 461, 995, 750, 434, 958, 386, 468, 676, 57, 459, 344, 311, 266, 611, 775, 95, 462, 430, 67, 206, 683, 792, 529, 662, 414, 671, 876, 375, 177, 617, 561, 839, 549, 928, 421, 6, 871, 368, 560, 477, 99, 777, 119, 285, 530, 528, 671, 634, 895, 263, 446, 134, 355, 511, 443, 892, 198, 753, 850, 742, 779, 154, 642, 187, 756, 518, 128, 239, 893, 373, 961, 413, 209, 29, 36, 342, 805, 287, 358, 348, 819, 337, 937, 168, 513, 71, 126, 699, 579, 341, 453, 758, 130, 530, 867, 22, 837, 794, 815, 875, 132, 494, 965, 823, 496, 999, 857, 439, 100, 786, 548, 581, 173, 854, 913, 768, 460, 469, 51, 322, 586, 678, 157, 430, 729, 888, 195, 564, 161, 607, 170, 219, 319, 503, 843, 676, 29, 307, 411, 258, 478, 889, 211, 731, 320, 903, 807, 68, 446, 792, 602, 641, 887, 442, 764, 717, 342, 498, 7, 996, 541, 998, 459, 579, 83, 739, 960, 679, 230, 465, 200, 315, 576, 117, 570, 810, 90, 631, 481, 596, 998, 176, 746, 916, 253, 99, 857, 962, 681, 497, 530, 723, 727, 675, 204, 339, 47, 993, 866, 303, 154, 434, 182, 273, 420, 432, 811, 386, 344, 298, 756, 615, 923, 172, 463, 951, 923, 569, 823, 301, 135, 769, 82, 874, 473, 979, 16, 305, 755, 559, 389, 296, 343, 515, 619, 533, 271, 205, 965, 262, 761, 868, 500, 150, 734, 411, 42, 654, 337, 985, 863, 147, 887, 690, 717, 578, 397, 616, 342, 222, 732, 171, 831, 131, 866, 286, 370, 107, 369, 199, 803, 246, 688, 796, 1, 212, 516, 220, 106, 55, 686, 742, 938, 366, 123, 124, 691, 555, 541, 961, 108, 391, 759, 618, 120, 631, 237, 659, 967, 379, 120, 147, 39, 432, 120, 354, 804, 587, 218, 930, 517, 851, 922, 978, 501, 239, 243, 783, 452, 46, 135, 492, 912, 952, 132, 449, 91, 459, 717, 295, 443, 772, 273, 900, 784, 975, 487, 326, 649, 912, 375, 651, 139, 739, 657, 304, 760, 686, 334, 436, 481, 663, 230, 79, 259, 502, 292, 260, 862, 518, 470, 798, 211, 789, 416, 321, 63, 676, 246, 532, 285, 48, 335, 920, 782, 497, 125, 772, 593, 223, 930, 142, 236, 298, 76, 743, 32, 407, 892, 38, 879, 498, 736, 691, 367, 111, 697, 722, 618, 320, 658, 74, 110, 773, 757, 124, 900, 213, 203, 123, 659, 884, 35, 710, 371, 386, 628, 928, 420, 52, 788, 7, 458, 653, 288, 694, 436, 27, 560, 187, 194, 625, 146, 871, 728, 484, 520, 722, 601, 303, 974, 933, 887, 495, 645, 475, 681, 55, 627, 173, 894, 391, 638, 881, 914, 539, 49, 959, 98, 455, 131, 51, 390, 198, 283, 426, 26, 378, 537, 645, 470, 149, 192, 723, 852, 692, 307, 383, 672, 681, 851, 313, 269, 47, 896, 889, 816, 540, 915, 226, 868, 9, 502, 621, 35, 868, 383, 237, 595, 616, 33, 851, 769, 652, 518, 85, 361, 476, 68, 574, 511, 205, 106, 878, 551, 87, 811, 329, 487, 374, 166, 251, 29, 998, 674, 54, 918, 521, 101, 434, 274, 730, 406, 31, 646, 698, 531, 421, 724, 921, 181, 134, 903, 374, 651, 321, 824, 562, 834, 364, 112, 608, 95, 758, 773, 34, 482, 250, 314, 48, 538, 292, 915, 933, 171, 637, 506, 508, 466, 325, 185, 176, 759, 737, 701, 565, 628, 688, 981, 86, 847, 941, 229, 657, 218, 844, 373, 663, 32, 893, 223, 447, 144, 336, 751, 455, 843, 823, 872, 110, 775, 752, 730, 726, 674, 999, 496, 374, 805, 536, 874, 371, 946, 512, 674, 804, 496, 978, 516, 83, 380, 105, 418, 750, 620, 891, 628, 33, 78, 136, 215, 754, 976, 131, 902, 943, 465, 538, 993, 359, 728, 261, 738, 293, 257, 375, 316, 812, 668, 180, 343, 229, 572, 797, 447, 390, 344, 323, 461, 813, 358, 407, 283, 951, 347, 335, 172, 460, 233, 579, 193, 569, 357, 0, 551, 9, 266, 897, 824, 901, 24, 954, 791, 540, 366, 930, 403, 667, 251, 216, 111, 327, 37, 327, 690, 707, 738, 831, 457, 759, 427, 725, 917, 406, 380, 113, 845, 720, 585, 784, 249, 191, 336, 774, 457}

    {785, 56, 483, 955, 422, 158, 583, 613, 947, 648, 809, 138, 901, 189, 299, 767, 473, 393, 377, 994, 991, 159, 950, 240, 150, 419, 793, 545, 670, 967, 919, 467, 506, 883, 97, 550, 779, 486, 578, 568, 886, 138, 317, 682, 116, 208, 704, 429, 372, 609, 563, 76, 504, 224, 471, 705, 41, 768, 165, 448, 640, 143, 636, 84, 629, 770, 733, 65, 393, 425, 313, 378, 335, 917, 473, 966, 904, 349, 598, 5, 350, 580, 61, 678, 486, 362, 140, 526, 697, 948, 605, 257, 167, 665, 984, 571, 56, 709, 471, 230, 7, 207, 289, 833, 575, 21, 468, 988, 494, 5, 600, 714, 583, 909, 368, 555, 215, 790, 774, 255, 897, 376, 152, 673, 814, 445, 633, 26, 956, 195, 590, 650, 557, 846, 422, 160, 687, 104, 346, 405, 150, 116, 787, 802, 899, 723, 845, 571, 264, 110, 463, 355, 88, 272, 931, 509, 947, 764, 836, 200, 252, 1, 304, 312, 90, 499, 440, 65, 655, 474, 992, 381, 606, 330, 396, 482, 27, 526, 398, 826, 623, 202, 225, 920, 971, 390, 438, 225, 182, 795, 710, 89, 71, 338, 836, 213, 311, 79, 428, 190, 232, 381, 52, 918, 525, 778, 119, 992, 883, 787, 571, 69, 18, 975, 448, 302, 818, 156, 268, 259, 151, 300, 822, 632, 679, 938, 510, 13, 58, 539, 415, 472, 247, 980, 23, 753, 376, 944, 510, 740, 103, 683, 453, 925, 535, 88, 127, 160, 35, 958, 766, 127, 847, 602, 781, 754, 433, 101, 962, 939, 417, 40, 450, 399, 970, 511, 227, 971, 543, 318, 940, 891, 245, 968, 563, 41, 10, 705, 932, 129, 121, 577, 591, 383, 847, 981, 860, 423, 290, 405, 608, 636, 565, 776, 41, 675, 882, 507, 974, 140, 444, 308, 603, 236, 239, 705, 100, 43, 640, 633, 624, 516, 268, 277, 751, 297, 997, 996, 747, 757, 756, 25, 475, 544, 536, 825, 521, 351, 661, 833, 560, 611, 612, 278, 185, 827, 523, 855, 152, 184, 125, 280, 106, 974, 634, 816, 221, 808, 568, 377, 715, 491, 264, 451, 329, 302, 917, 136, 127, 346, 251, 927, 964, 483, 73, 255, 15, 817, 695, 360, 185, 809, 724, 706, 395, 715, 767, 983, 118, 650, 693, 424, 693, 225, 736, 629, 471, 168, 108, 123, 799, 234, 760, 932, 794, 64, 284, 856, 433, 603, 402, 533, 44, 971, 552, 956, 702, 550, 751, 955, 26, 639, 370, 137, 765, 700, 932, 192, 294, 277, 415, 810, 308, 75, 267, 584, 992, 70, 944, 387, 776, 490, 395, 350, 612, 500, 776, 61, 345, 861, 890, 142, 710, 462, 955, 310, 669, 894, 174, 499, 363, 978, 492, 485, 349, 924, 655, 395, 485, 247, 486, 247, 740, 708, 838, 189, 720, 309, 456, 209, 553, 84, 60, 702, 813, 935, 467, 46, 822, 910, 625, 243, 359, 175, 156, 635, 778, 940, 936, 503, 647, 840, 291, 126, 842, 151, 423, 867, 270, 245, 818, 534, 606, 94, 869, 280, 946, 135, 96, 333, 908, 546, 282, 724, 464, 685, 977, 483, 990, 275, 49, 594, 277, 837, 828, 675, 276, 300, 584, 733, 784, 855, 771, 263, 23, 519, 148, 749, 91, 168, 87, 317, 489, 984, 80, 598, 45, 371, 369, 417, 754, 625, 589, 345, 193, 802, 178, 107, 519, 317, 186, 864, 336, 749, 53, 576, 806, 481, 8, 562, 831, 528, 34, 425, 986, 384, 115, 202, 527, 360, 409, 858, 706, 694, 164, 613, 92, 905, 827, 598, 2, 183, 196, 451, 777, 793, 594, 609, 12, 663, 20, 405, 243, 36, 165, 642, 117, 822, 314, 543, 287, 972, 304, 956, 353, 347, 706, 290, 456, 146, 352, 722, 886, 926, 306, 22, 849, 786, 615, 624, 157, 446, 391, 306, 94, 972, 595, 133, 449, 778, 345, 611, 39, 67, 829, 798, 652, 639, 527, 82, 136, 907, 299, 457, 190, 425, 714, 148, 743, 748, 982, 507, 21, 428, 233, 937, 915, 153, 431, 782, 454, 17, 762, 895, 921, 595, 310, 969, 397, 781, 104, 263, 488, 583, 693, 557, 718, 799, 117, 864, 376, 224, 98, 65, 4, 462, 359, 685, 799, 186, 246, 424, 521, 312, 463, 622, 250, 17, 926, 687, 167, 856, 635, 372, 543, 882, 17, 84, 898, 215, 242, 367, 641, 658, 74, 876, 57, 238, 623, 231, 298, 355, 554, 8, 544, 654, 835, 624, 273, 908, 399, 279, 138, 597, 258, 661, 145, 900, 589, 175, 570, 30, 935, 418, 968, 731, 291, 973, 556, 195, 986, 960, 719, 826, 228, 648, 79, 943, 568, 954, 413, 794, 991, 139, 183, 207, 188, 0, 840, 709, 632, 122, 953, 267, 235, 791, 692, 314, 183, 52, 980, 590, 352, 218, 987, 422, 409, 747, 527, 780, 328, 696, 255, 417, 64, 639, 964, 772, 746, 25, 839, 55, 75, 350, 821, 382, 820, 826, 427, 301, 479, 995, 721, 231, 267, 40, 254, 870, 449, 994, 612, 228, 217, 532, 670, 763, 200, 398, 384, 824, 86, 870, 2, 216, 613, 281, 222, 129, 287, 828, 982, 670, 18, 279, 73, 924, 204, 450, 401, 103, 278, 297, 986, 633, 904, 363, 555, 412, 265, 601, 478, 294, 53, 20, 792, 700, 763, 806, 188, 935, 661, 814, 5, 882, 497, 546, 788, 990, 487, 927, 729, 296, 666, 762, 594, 63, 184, 622, 739, 83, 42, 914, 116, 576, 643, 96, 410, 665, 700, 969, 323, 526, 635, 327, 634, 115, 238, 498, 489, 196, 522, 43, 939, 605, 196, 849, 939, 80, 600, 253, 155, 280, 768, 817, 650, 780, 597, 522, 60, 858, 282, 771, 318, 178, 708, 825, 577, 208, 366, 59, 290, 452, 13, 865, 599, 62, 268, 228, 379, 437, 281, 56, 348, 592, 787, 58, 929, 241, 682, 983, 252, 67, 501, 437, 438, 653, 989, 453, 783, 551, 973, 698, 152, 212, 324, 241, 141, 338, 393, 441, 279, 544, 989, 412, 808, 260, 61, 362, 798, 581, 911, 62, 644, 272, 858, 222, 636, 363, 629, 512, 10, 500, 378, 160, 501, 399, 585, 696, 272, 655, 952, 735, 153, 387, 217, 536, 236, 78, 742, 291, 963, 119, 577, 384, 334, 54, 834, 684, 859, 77, 899, 931, 590, 77, 580, 169, 829, 224, 514, 534, 321, 212, 721, 214, 592, 830, 514, 293, 299, 860, 510, 216, 394, 81, 30, 819, 71, 15, 28, 445, 836, 221, 936, 837, 982, 846, 522, 729, 328, 840, 788, 865, 256, 242, 919, 10, 807, 0, 276, 310, 905, 542, 175, 429, 662, 252, 682, 692, 101, 964, 244, 460, 77, 781, 13, 746, 323, 444, 130, 328, 194, 250, 266, 278, 755, 988, 88, 258, 63, 838, 400, 877, 479, 364, 652, 11, 744, 338, 190, 151, 436, 647, 240, 32, 712, 199, 249, 339, 43, 40, 960, 89, 404, 339, 2, 217, 72, 558, 975, 284, 553, 758, 684, 415, 442, 331, 921, 28, 591, 382, 312, 159, 289, 572, 528, 241, 873, 713, 349, 908, 609, 66, 388, 696, 869, 886, 991, 875, 872, 346, 172, 92, 66, 347, 204, 235, 248, 875, 567, 192, 853, 431, 402, 99, 302, 480, 580, 402, 409, 842, 557, 984, 491, 523, 812, 269, 107, 54, 898, 721, 333, 14, 174, 821, 718, 331, 597, 654, 97, 472, 59, 943, 81, 428, 300, 508, 985, 352, 914, 351, 260, 416, 545, 687, 401, 744, 186, 401, 60, 9, 358, 802, 377, 760, 672, 603, 820, 669, 245, 15, 814, 489, 903, 795, 362, 564, 44, 906, 777, 14, 166, 248, 467, 556, 284, 109, 876, 891, 490, 103, 248, 818, 189, 361, 948, 382, 332, 853, 341, 608, 306, 227, 973, 479, 253, 372, 941, 861, 515, 270, 394, 505, 617, 198, 118, 454, 406, 334, 911, 983, 142, 221, 178, 444, 517, 445, 234, 173, 231, 31, 48, 14, 167, 762, 972, 341, 96, 351, 815, 69, 244, 169, 842, 357, 458, 213, 645, 257, 203, 113, 329, 573, 953, 45, 164, 888, 162, 546, 708, 936, 585, 715, 170, 549, 22, 896, 412, 720, 356, 532, 182, 227, 987, 716, 771, 285, 137, 969, 749, 766, 592, 485, 767, 381, 539, 878, 916, 121, 716, 410, 270, 556, 848, 356, 361, 785, 37, 909, 429, 856, 174, 235, 877, 179, 126, 712, 820, 16, 866, 573, 219, 365, 259, 472, 912, 848, 764, 990, 980, 815, 477, 827, 695, 861, 11, 957, 924, 256, 795, 643, 519, 122, 725, 369, 59, 656, 780, 70, 711, 743, 73, 249, 36, 535, 226, 297, 114, 385, 542, 469, 234, 679, 155, 44, 199, 735, 238, 835, 632, 726, 647, 163, 620, 523, 807, 735, 952, 825, 993, 95, 957, 440, 332, 865, 575, 93, 946, 941, 433, 890, 25, 242, 8, 988, 424, 294, 506, 158, 464, 575, 685, 855, 627, 11, 646, 193, 870, 726, 509, 970, 275, 133, 499, 490, 121, 113, 872, 879, 62, 159, 491, 318, 276, 403, 203, 848, 141, 57, 398, 18}

    Returns: {1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1 }

  107. 1000

    {965, 89, 204, 716, 100, 534, 481, 144, 680, 150, 541, 130, 780, 233, 507, 479, 724, 340, 819, 874, 273, 569, 103, 185, 382, 846, 1, 473, 406, 937, 56, 631, 438, 400, 680, 536, 167, 700, 162, 658, 560, 922, 351, 355, 9, 502, 739, 442, 877, 150, 385, 349, 312, 239, 211, 533, 18, 67, 217, 331, 231, 625, 290, 587, 897, 960, 385, 511, 223, 207, 874, 293, 445, 707, 541, 378, 512, 636, 934, 311, 579, 314, 603, 574, 796, 664, 883, 253, 477, 95, 598, 606, 439, 386, 196, 628, 259, 44, 983, 575, 580, 965, 544, 759, 824, 552, 149, 859, 595, 105, 124, 539, 57, 670, 89, 129, 251, 972, 954, 459, 823, 551, 516, 911, 39, 869, 151, 987, 407, 194, 259, 443, 971, 364, 732, 608, 200, 715, 601, 181, 607, 384, 63, 561, 120, 904, 85, 486, 570, 558, 406, 189, 25, 290, 303, 150, 776, 346, 773, 896, 374, 919, 998, 621, 126, 542, 976, 273, 804, 872, 567, 402, 334, 589, 248, 99, 563, 662, 720, 331, 991, 397, 951, 784, 378, 972, 634, 285, 728, 127, 0, 421, 177, 940, 689, 698, 533, 545, 888, 514, 501, 92, 85, 669, 819, 322, 746, 108, 205, 851, 469, 438, 161, 504, 316, 229, 499, 542, 132, 400, 466, 543, 459, 352, 925, 119, 59, 751, 327, 324, 30, 462, 622, 740, 790, 422, 134, 15, 759, 377, 972, 674, 313, 355, 816, 986, 495, 350, 919, 620, 208, 108, 513, 607, 826, 158, 45, 724, 999, 973, 63, 88, 531, 612, 23, 691, 597, 248, 136, 603, 574, 263, 932, 829, 826, 68, 868, 761, 889, 778, 35, 355, 548, 109, 764, 998, 99, 847, 747, 42, 25, 124, 318, 718, 478, 33, 532, 148, 966, 738, 325, 127, 545, 639, 517, 468, 136, 657, 510, 470, 378, 111, 708, 678, 713, 149, 738, 88, 133, 884, 858, 422, 826, 383, 634, 383, 624, 823, 42, 19, 477, 453, 82, 214, 37, 266, 916, 582, 844, 945, 11, 409, 876, 356, 930, 305, 342, 954, 525, 996, 874, 33, 469, 904, 847, 836, 199, 801, 429, 937, 787, 144, 331, 188, 87, 978, 510, 996, 79, 56, 698, 308, 441, 997, 380, 811, 415, 838, 103, 321, 728, 160, 709, 249, 133, 769, 3, 32, 532, 4, 647, 876, 123, 717, 301, 381, 36, 113, 181, 105, 588, 633, 32, 444, 197, 528, 151, 363, 345, 614, 21, 503, 64, 174, 411, 0, 348, 824, 829, 417, 870, 19, 613, 527, 519, 604, 583, 586, 353, 73, 245, 54, 890, 212, 761, 943, 529, 261, 373, 624, 104, 979, 62, 989, 893, 15, 37, 405, 588, 299, 6, 43, 282, 296, 917, 269, 354, 118, 74, 134, 644, 116, 616, 504, 643, 443, 669, 872, 499, 701, 830, 918, 861, 977, 974, 12, 802, 721, 98, 587, 955, 552, 447, 358, 257, 687, 978, 850, 987, 796, 204, 5, 127, 68, 462, 905, 282, 337, 776, 605, 139, 800, 715, 392, 162, 502, 660, 247, 264, 577, 720, 10, 777, 324, 616, 866, 726, 700, 564, 698, 186, 360, 677, 958, 722, 940, 404, 190, 4, 475, 376, 62, 892, 728, 715, 964, 551, 256, 688, 211, 3, 702, 14, 303, 903, 880, 528, 875, 734, 995, 885, 958, 756, 688, 312, 319, 783, 269, 737, 958, 194, 773, 961, 75, 825, 863, 700, 439, 782, 429, 221, 137, 752, 86, 900, 337, 965, 78, 266, 897, 398, 871, 886, 88, 420, 202, 902, 348, 42, 915, 765, 184, 788, 493, 593, 490, 511, 888, 318, 974, 535, 668, 851, 987, 753, 929, 450, 14, 699, 291, 795, 17, 194, 785, 58, 405, 414, 937, 950, 211, 202, 676, 936, 479, 28, 613, 116, 814, 110, 349, 977, 542, 416, 908, 157, 567, 349, 815, 389, 526, 714, 630, 531, 207, 483, 346, 853, 934, 847, 410, 177, 923, 534, 215, 405, 645, 996, 425, 869, 359, 843, 567, 582, 425, 254, 307, 396, 707, 427, 775, 411, 866, 584, 392, 187, 526, 27, 83, 854, 495, 64, 165, 234, 536, 677, 121, 184, 530, 626, 498, 515, 604, 782, 828, 316, 841, 13, 630, 762, 123, 339, 678, 735, 83, 216, 797, 569, 235, 377, 81, 3, 844, 245, 19, 908, 765, 804, 367, 445, 626, 629, 125, 619, 54, 319, 642, 844, 912, 574, 481, 421, 345, 134, 606, 445, 756, 870, 230, 100, 235, 89, 366, 865, 977, 569, 522, 648, 516, 21, 471, 433, 33, 744, 346, 391, 401, 768, 409, 344, 812, 293, 796, 44, 357, 9, 268, 333, 272, 203, 309, 479, 200, 64, 521, 263, 422, 802, 934, 979, 353, 769, 472, 290, 120, 565, 439, 877, 423, 839, 37, 995, 219, 601, 840, 137, 341, 357, 120, 804, 260, 416, 62, 358, 811, 918, 603, 138, 410, 827, 58, 111, 83, 737, 187, 533, 304, 372, 118, 409, 841, 273, 849, 91, 812, 725, 87, 670, 575, 449, 607, 8, 345, 202, 745, 459, 142, 613, 990, 121, 322, 311, 909, 189, 905, 713, 227, 170, 357, 626, 703, 23, 196, 593, 384, 694, 391, 812, 960, 781, 298, 763, 348, 633, 411, 651, 223, 171, 822, 717, 942, 187, 90, 523, 219, 190, 402, 893, 823, 380, 983, 213, 254, 857, 456, 718, 864, 639, 372, 490, 157, 774, 625, 754, 670, 549, 340, 913, 520, 940, 778, 139, 180, 46, 451, 984, 602, 558, 575, 738, 473, 344, 985, 786, 500, 123, 644, 140, 321, 368, 17, 299, 368, 310, 385, 84, 631, 550, 500, 444, 737, 843, 299, 421, 604, 156, 832, 704, 205, 750, 301, 979, 72, 582, 103, 344, 214, 776, 246, 324, 298, 887, 110, 895, 245, 481, 536, 319, 403, 551, 814, 720, 475, 597, 673, 363, 765, 8, 198, 488, 353, 827, 678, 115, 95, 189, 758, 362, 902, 397, 552, 472, 648, 810, 952, 473, 772, 838, 930, 774, 5, 534, 97, 621, 18, 449, 890, 288, 267, 640, 976, 58, 416, 76, 619, 186, 327, 496, 590, 897, 168, 622, 190, 535, 753, 329, 356, 141, 117, 360, 867, 673, 930, 38, 412, 414, 212, 782, 178, 213, 576, 504, 661, 92, 350, 389, 726, 705, 195, 175, 337, 522, 167, 252, 438, 496, 593, 954, 662, 636, 104, 38, 789, 564, 601, 132, 496, 875, 545, 312, 285, 910, 182, 968, 746, 216, 787, 197, 228, 946, 115, 84, 20, 724, 420, 573, 904, 6, 885, 830, 326, 951, 397, 291, 881, 517, 519, 869, 269, 917, 412, 916, 573, 801, 526, 743, 616, 643, 554, 44, 279, 920, 310, 178, 792, 964, 293, 991, 955, 164, 97, 386, 470, 772, 974, 516, 730, 899, 233, 161, 218, 800, 274, 691, 182, 270, 456, 5, 96, 391, 122, 557, 420, 261, 334, 376, 49, 579, 318, 214, 374, 719, 193, 624, 268, 57, 199, 756, 179, 656, 263, 350, 911, 24, 382, 994, 895, 125, 746, 912, 462, 256, 633, 169, 499, 587, 206, 442, 104, 494, 696, 461, 99, 561, 141, 243, 87, 56, 18, 781, 298, 113, 750, 418, 917, 920, 991, 602, 701, 888, 650, 380, 657, 784, 389, 546, 314, 733, 612, 122, 114, 579, 568, 585, 819, 398, 528, 433, 951, 173, 135, 171, 443, 333, 878, 304, 442, 297, 689, 267, 199, 653, 914, 112, 423, 673, 252, 946, 313, 234, 589, 252, 961, 708, 600, 992, 59, 718, 611, 992, 275, 634, 750, 121, 296, 343, 989, 777, 648, 570, 704, 21, 291, 301, 483, 212, 549, 382, 631, 22, 402, 8, 647, 203, 646, 889, 116, 772, 945, 912, 74, 323, 361, 909, 889, 377, 65, 469, 983, 952, 54, 335, 352, 65, 200, 843, 947, 367, 52, 126, 855, 922, 763, 561, 95, 517, 653, 762, 688, 544, 242, 453, 920, 152, 652, 53, 16, 63, 334, 903, 857, 49, 744, 640, 35, 461, 464, 655, 90, 707, 531, 864, 313, 668, 65, 583, 871, 839, 145, 173, 651, 605, 564, 264, 933, 525, 129, 757, 522, 137, 635, 124, 193, 857, 743, 141, 52, 757, 153, 846, 490, 265, 174, 111, 883, 762, 921, 386, 932, 529, 300, 959, 470, 280, 296, 466, 914, 676, 267, 182, 942, 297, 257, 758, 719, 228, 703, 501, 710, 31, 565, 550, 644, 361, 664, 761, 590, 753, 621, 435, 117, 709, 321, 716, 984, 461, 249, 725, 195, 784, 978, 374, 24, 464, 403, 4, 97, 642, 257, 510, 600, 325, 94, 525, 866, 412, 825, 136, 164, 829, 544, 272, 152, 725, 161, 635, 747, 642, 612, 859, 647, 361, 115, 591, 695, 686, 101, 264, 57, 108, 699, 261, 760, 864, 235, 311, 249, 119, 810, 740, 757, 713, 758, 511, 884, 79, 554, 35, 307, 833, 171, 340, 948, 887, 282, 427, 611, 523, 927, 922, 832, 149, 94, 142, 253, 841, 501, 630, 918, 595, 927, 514, 270, 775, 702, 193, 798, 31, 256, 690, 845, 429, 734, 625, 653, 768, 787, 870, 884, 883, 92}

    {800, 810, 220, 661, 274, 578, 609, 381, 543, 36, 67, 872, 831, 176, 223, 799, 266, 238, 168, 807, 415, 39, 558, 270, 90, 562, 406, 851, 341, 813, 835, 408, 144, 666, 783, 225, 681, 803, 970, 466, 467, 830, 159, 731, 354, 40, 485, 53, 480, 209, 568, 163, 879, 908, 685, 434, 873, 465, 307, 779, 769, 669, 367, 815, 842, 507, 931, 548, 96, 347, 379, 519, 701, 254, 342, 637, 142, 898, 733, 260, 645, 923, 903, 788, 915, 289, 860, 855, 66, 297, 177, 208, 623, 440, 305, 178, 401, 562, 620, 809, 226, 770, 369, 413, 722, 919, 71, 906, 302, 793, 901, 693, 145, 487, 687, 458, 234, 303, 674, 835, 620, 258, 628, 695, 60, 166, 153, 654, 327, 81, 771, 217, 885, 723, 330, 671, 277, 730, 477, 251, 39, 783, 196, 23, 159, 887, 30, 712, 894, 28, 793, 583, 419, 323, 279, 638, 102, 82, 305, 703, 228, 309, 721, 722, 521, 315, 424, 184, 81, 660, 879, 754, 790, 693, 957, 274, 824, 675, 848, 181, 660, 154, 645, 61, 34, 935, 696, 881, 966, 183, 55, 683, 13, 43, 46, 328, 573, 289, 852, 28, 741, 529, 641, 786, 284, 61, 106, 237, 418, 294, 207, 218, 890, 281, 143, 518, 114, 515, 751, 508, 198, 384, 51, 365, 749, 239, 230, 984, 227, 748, 960, 538, 209, 232, 793, 821, 684, 148, 799, 135, 330, 388, 976, 785, 446, 589, 222, 663, 491, 605, 393, 506, 599, 154, 53, 203, 394, 735, 679, 157, 638, 755, 387, 126, 50, 22, 395, 527, 931, 614, 852, 556, 794, 320, 927, 949, 699, 822, 674, 926, 128, 770, 32, 50, 821, 986, 169, 451, 868, 66, 928, 578, 460, 11, 627, 730, 817, 806, 834, 2, 135, 78, 855, 739, 25, 562, 93, 69, 360, 233, 414, 748, 169, 326, 246, 811, 702, 989, 370, 55, 813, 723, 953, 242, 436, 755, 777, 576, 711, 437, 231, 966, 768, 679, 581, 329, 956, 610, 856, 210, 253, 672, 176, 816, 689, 622, 403, 949, 863, 262, 286, 814, 347, 247, 225, 413, 320, 166, 271, 858, 632, 926, 556, 592, 971, 833, 792, 239, 539, 51, 489, 848, 590, 683, 789, 375, 41, 70, 697, 155, 834, 38, 328, 780, 471, 426, 572, 428, 714, 316, 41, 982, 448, 687, 652, 778, 773, 950, 779, 944, 404, 577, 939, 440, 547, 364, 764, 632, 967, 250, 719, 502, 60, 487, 627, 560, 681, 467, 96, 399, 117, 271, 709, 957, 939, 980, 275, 935, 162, 916, 948, 91, 994, 165, 820, 553, 681, 93, 314, 803, 970, 894, 208, 463, 387, 806, 423, 210, 969, 458, 394, 708, 878, 643, 73, 106, 287, 915, 936, 840, 369, 131, 729, 2, 865, 925, 390, 80, 404, 338, 107, 649, 347, 74, 506, 310, 997, 79, 740, 571, 584, 332, 77, 29, 206, 685, 880, 191, 276, 118, 659, 315, 216, 963, 230, 929, 550, 12, 598, 576, 833, 731, 805, 454, 78, 879, 649, 372, 206, 444, 548, 71, 667, 278, 436, 760, 156, 667, 45, 217, 663, 487, 803, 332, 55, 537, 842, 101, 485, 505, 860, 754, 410, 839, 236, 359, 615, 191, 985, 188, 276, 679, 503, 330, 250, 492, 151, 436, 853, 512, 656, 387, 48, 172, 408, 928, 871, 716, 456, 493, 618, 175, 594, 304, 584, 508, 690, 734, 488, 437, 774, 278, 998, 891, 668, 952, 785, 183, 735, 114, 480, 797, 665, 837, 474, 873, 315, 780, 520, 581, 835, 41, 398, 491, 842, 465, 939, 788, 70, 836, 447, 585, 682, 219, 343, 775, 706, 40, 155, 227, 368, 892, 47, 210, 876, 20, 910, 636, 163, 862, 484, 179, 894, 237, 697, 749, 971, 236, 393, 950, 881, 26, 957, 262, 232, 557, 817, 571, 66, 807, 195, 639, 491, 46, 336, 204, 222, 657, 807, 665, 12, 480, 464, 132, 945, 578, 359, 72, 246, 119, 655, 40, 662, 370, 441, 328, 440, 684, 686, 165, 993, 827, 691, 828, 68, 451, 541, 329, 48, 623, 431, 993, 712, 272, 159, 362, 524, 255, 84, 594, 26, 363, 70, 454, 854, 995, 452, 48, 407, 505, 514, 512, 907, 94, 241, 538, 154, 921, 325, 47, 138, 661, 146, 508, 140, 51, 156, 335, 497, 539, 419, 16, 997, 430, 646, 825, 566, 302, 373, 853, 781, 736, 441, 393, 369, 739, 1, 680, 962, 306, 188, 455, 766, 968, 192, 654, 147, 610, 637, 425, 988, 805, 467, 220, 766, 771, 672, 101, 649, 967, 428, 580, 107, 197, 861, 283, 2, 286, 692, 332, 836, 435, 192, 875, 251, 472, 608, 69, 292, 970, 711, 153, 882, 677, 652, 609, 923, 795, 834, 795, 518, 654, 426, 859, 152, 944, 585, 690, 794, 554, 457, 617, 474, 10, 130, 805, 676, 886, 760, 982, 845, 446, 284, 963, 342, 891, 943, 226, 220, 518, 524, 453, 597, 704, 110, 131, 924, 789, 627, 31, 86, 75, 710, 483, 98, 326, 925, 475, 6, 509, 914, 365, 275, 478, 300, 682, 975, 867, 752, 767, 886, 36, 588, 538, 632, 375, 891, 320, 933, 628, 791, 599, 283, 905, 741, 641, 72, 176, 592, 158, 265, 663, 388, 572, 672, 742, 493, 201, 594, 424, 279, 112, 556, 168, 289, 17, 485, 553, 67, 98, 566, 988, 606, 494, 694, 306, 390, 426, 962, 706, 815, 371, 9, 225, 215, 962, 878, 961, 546, 540, 80, 336, 433, 586, 555, 591, 295, 343, 581, 109, 128, 226, 102, 909, 752, 14, 339, 935, 396, 91, 34, 417, 933, 694, 932, 492, 86, 494, 400, 129, 936, 258, 476, 339, 432, 281, 452, 509, 818, 610, 806, 742, 484, 980, 243, 379, 629, 434, 370, 250, 428, 994, 284, 448, 980, 973, 75, 846, 838, 705, 981, 938, 240, 808, 858, 596, 392, 447, 192, 309, 821, 898, 685, 598, 682, 615, 850, 861, 106, 77, 317, 771, 0, 741, 929, 990, 982, 247, 229, 201, 820, 953, 895, 671, 255, 540, 683, 840, 969, 430, 638, 82, 26, 155, 356, 907, 586, 790, 924, 547, 990, 287, 396, 515, 941, 449, 460, 476, 732, 482, 999, 856, 513, 255, 231, 794, 241, 163, 209, 102, 138, 513, 530, 450, 671, 791, 388, 650, 147, 241, 283, 946, 24, 520, 849, 802, 729, 180, 557, 292, 637, 592, 285, 221, 705, 146, 900, 706, 185, 419, 693, 731, 816, 899, 465, 553, 362, 131, 468, 640, 7, 431, 294, 570, 928, 848, 509, 856, 164, 77, 238, 27, 61, 286, 11, 521, 766, 401, 198, 500, 726, 452, 650, 205, 262, 308, 635, 727, 306, 170, 268, 820, 258, 759, 675, 236, 29, 288, 555, 926, 20, 537, 727, 862, 809, 430, 535, 641, 71, 492, 408, 29, 365, 105, 16, 646, 7, 191, 546, 218, 34, 596, 351, 577, 113, 85, 143, 276, 942, 486, 455, 497, 828, 366, 448, 873, 335, 566, 595, 59, 460, 160, 100, 763, 139, 383, 457, 183, 924, 559, 295, 602, 50, 213, 623, 158, 232, 76, 608, 675, 714, 863, 174, 921, 47, 432, 43, 695, 877, 476, 809, 947, 166, 711, 333, 852, 600, 559, 571, 791, 317, 931, 302, 395, 373, 723, 913, 901, 364, 988, 133, 489, 999, 244, 736, 248, 172, 354, 15, 30, 224, 975, 906, 580, 555, 366, 498, 424, 486, 721, 186, 185, 537, 981, 224, 797, 743, 488, 959, 147, 559, 271, 454, 10, 767, 837, 351, 813, 968, 736, 910, 407, 399, 172, 478, 146, 455, 503, 277, 617, 967, 224, 656, 240, 523, 692, 471, 770, 900, 292, 125, 495, 93, 265, 390, 745, 287, 201, 13, 395, 860, 568, 808, 955, 941, 69, 323, 596, 696, 664, 468, 969, 892, 745, 629, 415, 540, 336, 497, 463, 751, 618, 845, 458, 457, 882, 175, 944, 614, 779, 240, 563, 938, 565, 140, 901, 941, 530, 112, 893, 109, 482, 547, 985, 898, 543, 215, 532, 764, 710, 482, 394, 242, 619, 666, 128, 506, 179, 686, 130, 7, 52, 712, 180, 732, 899, 237, 173, 658, 434, 963, 792, 427, 882, 294, 956, 160, 618, 831, 322, 524, 822, 358, 865, 107, 260, 572, 148, 717, 692, 808, 755, 280, 655, 450, 868, 651, 484, 431, 417, 244, 338, 243, 371, 288, 906, 767, 560, 727, 1, 749, 747, 221, 849, 964, 831, 617, 145, 300, 832, 381, 45, 317, 27, 143, 259, 277, 463, 418, 947, 913, 907, 437, 733, 902, 435, 798, 73, 507, 591, 379, 818, 742, 505, 432, 896, 22, 729, 684, 959, 222, 49, 911, 338, 748, 659, 837, 817, 799, 896, 798, 981, 665, 238, 170, 167, 295, 862, 973, 413, 801, 474, 308, 563, 986, 975, 399, 489, 122, 615, 956, 549, 943, 244, 818, 850, 949, 953, 658, 880, 375, 446, 938, 371, 229, 76, 854, 80, 867, 527, 697, 498, 993, 281, 280, 352, 60, 611, 667, 278, 666, 609, 786, 992, 659, 948, 341, 744, 376, 599}

    Returns: {0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1 }

  108. 1000

    {20, 596, 778, 365, 90, 355, 99, 834, 207, 841, 225, 469, 558, 754, 592, 79, 202, 468, 227, 422, 141, 865, 118, 292, 744, 50, 426, 572, 520, 260, 427, 417, 62, 872, 332, 252, 282, 921, 292, 419, 775, 881, 622, 946, 303, 571, 690, 944, 755, 482, 36, 731, 868, 328, 264, 852, 415, 969, 74, 992, 815, 785, 160, 251, 385, 869, 513, 549, 894, 327, 501, 390, 974, 102, 860, 897, 681, 254, 921, 569, 819, 776, 93, 511, 577, 425, 602, 62, 754, 71, 667, 215, 378, 345, 747, 419, 805, 458, 335, 827, 606, 436, 762, 778, 619, 181, 400, 336, 814, 67, 526, 446, 24, 494, 519, 246, 131, 844, 352, 384, 6, 732, 385, 520, 409, 980, 263, 992, 429, 104, 608, 456, 300, 646, 534, 198, 528, 857, 222, 355, 834, 921, 49, 482, 879, 161, 120, 146, 544, 351, 472, 370, 28, 15, 684, 154, 808, 560, 712, 156, 610, 332, 292, 902, 92, 121, 940, 515, 164, 667, 502, 608, 471, 721, 353, 612, 786, 984, 349, 440, 418, 626, 45, 573, 534, 425, 555, 799, 827, 863, 837, 772, 305, 654, 657, 515, 319, 785, 840, 53, 962, 185, 719, 627, 411, 744, 714, 284, 132, 218, 504, 147, 589, 369, 541, 432, 563, 500, 495, 680, 326, 438, 856, 480, 370, 942, 641, 274, 90, 125, 934, 255, 940, 700, 813, 92, 282, 837, 50, 579, 756, 774, 746, 219, 366, 211, 811, 671, 894, 831, 577, 820, 580, 646, 489, 961, 414, 349, 306, 64, 111, 69, 556, 714, 175, 715, 981, 311, 646, 322, 146, 219, 882, 789, 571, 882, 169, 53, 132, 392, 571, 878, 905, 759, 960, 305, 910, 690, 884, 644, 131, 202, 996, 317, 739, 987, 691, 866, 996, 811, 607, 861, 984, 777, 514, 129, 954, 73, 671, 484, 548, 952, 823, 132, 867, 707, 410, 641, 879, 344, 816, 831, 23, 713, 666, 78, 583, 764, 697, 97, 717, 727, 906, 920, 672, 525, 28, 70, 629, 522, 721, 626, 789, 829, 610, 997, 678, 369, 547, 451, 428, 632, 377, 246, 260, 716, 36, 239, 399, 737, 999, 887, 400, 764, 336, 375, 116, 822, 429, 255, 189, 378, 861, 423, 673, 297, 746, 149, 364, 499, 776, 635, 428, 528, 438, 126, 819, 911, 994, 924, 986, 956, 911, 872, 541, 365, 186, 342, 233, 884, 697, 941, 941, 250, 697, 457, 871, 679, 736, 49, 517, 907, 652, 457, 42, 846, 914, 684, 13, 397, 864, 837, 213, 17, 589, 243, 423, 75, 100, 468, 323, 590, 329, 76, 606, 612, 696, 669, 720, 556, 79, 556, 850, 860, 359, 102, 35, 40, 368, 228, 852, 252, 788, 8, 273, 37, 994, 950, 407, 862, 326, 993, 398, 773, 424, 914, 742, 645, 314, 978, 705, 42, 359, 470, 14, 192, 708, 537, 611, 417, 94, 37, 876, 653, 849, 294, 240, 568, 415, 972, 87, 375, 346, 906, 399, 491, 698, 888, 991, 83, 469, 857, 573, 426, 307, 461, 738, 262, 64, 259, 801, 815, 565, 48, 783, 146, 277, 901, 582, 705, 554, 742, 779, 373, 930, 906, 420, 869, 913, 521, 952, 285, 840, 554, 820, 353, 39, 134, 864, 779, 119, 679, 558, 843, 716, 688, 21, 16, 436, 357, 999, 385, 872, 137, 820, 50, 273, 127, 484, 2, 829, 466, 218, 241, 687, 537, 574, 127, 741, 304, 512, 848, 621, 915, 402, 248, 164, 939, 370, 89, 988, 726, 552, 603, 686, 317, 65, 270, 348, 787, 555, 471, 885, 810, 451, 86, 236, 658, 696, 611, 474, 492, 714, 314, 268, 963, 799, 897, 876, 428, 563, 565, 612, 204, 883, 653, 408, 707, 706, 736, 2, 637, 103, 569, 969, 902, 630, 791, 346, 74, 338, 996, 900, 29, 38, 917, 991, 559, 734, 502, 976, 14, 374, 739, 979, 440, 75, 263, 936, 724, 455, 420, 663, 277, 449, 738, 367, 965, 832, 923, 827, 700, 978, 141, 659, 21, 581, 74, 94, 492, 85, 843, 344, 753, 329, 898, 781, 107, 416, 18, 495, 878, 338, 492, 410, 476, 609, 397, 181, 862, 765, 126, 880, 613, 488, 489, 340, 770, 622, 179, 111, 162, 780, 933, 839, 715, 130, 452, 643, 361, 580, 639, 762, 189, 268, 34, 486, 288, 233, 839, 295, 841, 281, 750, 694, 305, 874, 607, 2, 394, 274, 846, 563, 91, 818, 308, 124, 85, 340, 893, 203, 406, 769, 794, 634, 685, 116, 406, 351, 433, 741, 120, 582, 66, 378, 805, 418, 386, 816, 924, 279, 454, 281, 52, 215, 419, 252, 377, 954, 394, 541, 345, 285, 528, 395, 153, 75, 994, 737, 152, 137, 81, 339, 360, 71, 627, 446, 527, 422, 416, 346, 579, 129, 825, 123, 446, 668, 213, 552, 617, 871, 455, 926, 915, 401, 333, 509, 357, 402, 34, 698, 13, 247, 634, 689, 27, 336, 214, 175, 966, 456, 282, 171, 755, 280, 85, 195, 842, 503, 258, 734, 70, 422, 709, 288, 703, 999, 861, 121, 9, 432, 550, 37, 687, 614, 954, 451, 699, 348, 217, 380, 194, 107, 84, 489, 255, 755, 652, 458, 199, 729, 339, 124, 313, 333, 481, 380, 130, 754, 424, 809, 772, 192, 674, 314, 443, 150, 509, 960, 101, 539, 195, 834, 732, 443, 739, 390, 79, 721, 228, 740, 686, 708, 915, 972, 183, 720, 1, 202, 952, 283, 636, 347, 705, 979, 667, 367, 857, 526, 204, 271, 937, 302, 553, 248, 909, 480, 4, 883, 268, 59, 239, 650, 224, 696, 465, 186, 912, 213, 998, 597, 397, 878, 153, 320, 57, 580, 652, 614, 223, 462, 649, 508, 185, 223, 607, 795, 230, 482, 338, 843, 704, 850, 131, 31, 262, 249, 122, 418, 822, 866, 618, 123, 113, 572, 611, 284, 9, 119, 118, 4, 462, 912, 7, 499, 502, 390, 920, 113, 183, 741, 224, 15, 600, 632, 605, 263, 89, 666, 777, 532, 868, 371, 530, 813, 22, 22, 902, 751, 408, 745, 651, 655, 786, 903, 633, 949, 231, 642, 58, 808, 595, 4, 802, 211, 270, 52, 70, 794, 695, 165, 789, 262, 499, 364, 997, 589, 395, 200, 809, 101, 846, 948, 717, 730, 981, 618, 526, 33, 752, 698, 48, 536, 991, 217, 874, 120, 365, 504, 708, 786, 307, 979, 753, 614, 653, 3, 402, 823, 258, 519, 247, 367, 665, 784, 676, 320, 223, 10, 430, 394, 300, 666, 251, 53, 251, 559, 645, 862, 581, 372, 311, 359, 163, 766, 224, 150, 909, 766, 769, 663, 200, 122, 100, 417, 239, 736, 588, 734, 828, 243, 362, 493, 138, 730, 41, 457, 577, 518, 518, 534, 373, 515, 651, 360, 425, 119, 219, 508, 424, 241, 383, 198, 836, 7, 597, 710, 462, 805, 639, 349, 441, 473, 199, 524, 958, 733, 133, 671, 23, 309, 275, 829, 665, 160, 194, 669, 706, 785, 713, 283, 280, 720, 595, 355, 943, 643, 844, 254, 208, 337, 227, 128, 751, 928, 848, 870, 169, 139, 104, 722, 980, 399, 297, 258, 81, 676, 729, 99, 664, 138, 134, 825, 657, 296, 898, 744, 606, 205, 61, 706, 34, 396, 590, 497, 459, 171, 972, 123, 978, 559, 531, 55, 410, 86, 645, 134, 887, 681, 364, 505, 870, 173, 987, 220, 874, 871, 173, 448, 67, 596, 377, 659, 545, 581, 525, 926, 426, 574, 228, 887, 330, 569, 99, 432, 294, 121, 841, 795, 707, 689, 791, 587, 116, 821, 443, 776, 657, 21, 513, 600, 726, 553, 586, 358, 222, 868, 186, 965, 545, 603, 260, 374, 302, 760, 992, 551, 672, 530, 0, 888, 597, 161, 772, 401, 566, 28, 267, 18, 479, 590, 753, 423, 62, 727, 98, 594, 84, 18, 525, 674, 629, 540, 221, 473, 141, 315, 883, 924, 963, 368, 169, 566, 632, 479, 960, 779, 464, 153, 150, 495, 31, 30, 73, 655, 488, 388, 368, 603, 950, 229, 811, 557, 863, 622, 560, 94, 65, 31, 84, 600, 568, 470, 51, 636, 630, 497, 222, 198, 595, 27, 52, 715, 405, 200, 215, 171, 348, 317, 633, 10, 784, 236, 217, 180, 404, 594, 933, 152, 565, 328, 439, 145, 558, 742, 501, 139, 285, 154, 840, 884, 676, 750, 211, 174, 554, 681, 47, 216, 137, 967, 229, 668, 388, 452, 183, 205, 784, 306, 3, 226, 420, 793, 396, 465, 617, 500, 460, 751, 664, 139, 728, 330, 967, 421, 890, 795, 552, 783, 712, 32, 867, 882, 926, 898, 845, 411, 758, 583, 264, 958, 937, 448, 817, 627, 983, 235, 530, 201, 167, 642, 628, 879, 108, 826, 769, 326, 253, 281, 100, 747, 933, 927, 214, 639, 689, 793, 633, 429, 369, 940, 61, 125, 344, 508, 962, 360, 160, 731, 514, 905, 293, 821, 686, 987, 128, 920, 647, 678, 334, 794, 333, 325, 408, 59, 750, 694, 383, 663, 555, 17, 16, 173, 483, 162, 863, 675, 39, 647, 298, 672, 199, 308, 497, 89, 101, 206, 270, 716, 638}

    {152, 832, 749, 11, 287, 570, 913, 404, 937, 257, 899, 800, 880, 905, 623, 24, 427, 710, 143, 804, 461, 718, 660, 396, 303, 951, 77, 623, 57, 45, 911, 635, 38, 162, 968, 765, 267, 562, 341, 824, 487, 935, 850, 617, 821, 807, 938, 624, 421, 236, 701, 929, 205, 760, 886, 602, 155, 803, 286, 20, 453, 201, 216, 781, 51, 91, 601, 232, 835, 264, 483, 47, 904, 621, 986, 371, 803, 32, 680, 234, 584, 733, 375, 56, 826, 170, 701, 161, 842, 341, 531, 11, 81, 564, 231, 539, 975, 835, 340, 522, 690, 95, 112, 934, 245, 529, 711, 866, 283, 896, 193, 516, 727, 918, 901, 802, 889, 993, 965, 196, 248, 873, 599, 60, 291, 316, 95, 766, 159, 928, 588, 845, 290, 96, 97, 998, 740, 256, 287, 276, 496, 280, 964, 885, 521, 544, 896, 513, 812, 5, 166, 391, 613, 955, 407, 8, 363, 392, 919, 188, 760, 907, 481, 322, 919, 917, 261, 770, 826, 433, 105, 83, 242, 981, 491, 382, 289, 763, 114, 474, 182, 691, 520, 32, 471, 151, 115, 903, 677, 719, 25, 129, 670, 693, 184, 331, 790, 412, 665, 989, 1, 637, 931, 983, 903, 532, 507, 661, 524, 768, 702, 473, 486, 148, 723, 350, 778, 110, 894, 444, 599, 313, 92, 47, 33, 241, 240, 58, 797, 983, 155, 656, 881, 379, 758, 225, 585, 711, 939, 427, 351, 465, 635, 997, 642, 514, 735, 412, 206, 683, 13, 695, 133, 109, 726, 598, 634, 626, 682, 179, 728, 65, 699, 561, 881, 254, 598, 859, 27, 800, 6, 522, 143, 460, 631, 875, 982, 523, 819, 877, 546, 386, 46, 876, 246, 543, 989, 505, 889, 210, 136, 579, 63, 640, 873, 853, 114, 103, 806, 922, 212, 864, 942, 80, 96, 990, 459, 441, 648, 442, 851, 339, 82, 69, 855, 421, 238, 356, 859, 631, 812, 216, 985, 761, 331, 833, 503, 250, 593, 242, 925, 748, 717, 80, 724, 135, 941, 540, 966, 63, 347, 114, 560, 291, 938, 467, 312, 662, 376, 458, 858, 275, 290, 177, 60, 0, 477, 976, 176, 900, 710, 605, 25, 196, 405, 877, 218, 331, 644, 962, 309, 966, 637, 535, 36, 379, 970, 330, 147, 191, 700, 308, 310, 959, 780, 177, 542, 321, 557, 289, 804, 692, 691, 220, 822, 813, 209, 545, 649, 172, 234, 472, 605, 687, 439, 855, 277, 551, 692, 533, 356, 768, 506, 670, 56, 792, 990, 179, 892, 363, 702, 865, 643, 703, 320, 298, 388, 509, 130, 682, 835, 156, 245, 853, 505, 901, 732, 620, 0, 773, 964, 501, 586, 895, 935, 865, 321, 104, 117, 86, 221, 12, 77, 469, 197, 798, 947, 640, 22, 128, 661, 389, 353, 647, 207, 434, 810, 550, 24, 801, 182, 511, 261, 771, 310, 335, 172, 464, 761, 947, 594, 403, 961, 875, 831, 76, 875, 381, 362, 957, 535, 29, 293, 925, 303, 138, 214, 913, 233, 26, 430, 830, 680, 318, 487, 90, 197, 238, 271, 947, 591, 650, 806, 472, 828, 165, 244, 478, 51, 752, 478, 749, 269, 775, 307, 724, 154, 486, 181, 479, 946, 168, 437, 382, 192, 812, 890, 561, 932, 685, 189, 148, 659, 490, 993, 117, 133, 403, 312, 144, 306, 582, 450, 387, 498, 113, 147, 493, 389, 695, 16, 302, 230, 459, 168, 936, 510, 615, 909, 958, 329, 135, 25, 847, 547, 923, 549, 951, 490, 474, 957, 578, 886, 143, 701, 506, 542, 856, 276, 777, 354, 97, 648, 415, 658, 856, 412, 88, 475, 537, 488, 629, 41, 748, 538, 295, 893, 817, 598, 301, 749, 467, 609, 988, 604, 227, 413, 891, 923, 112, 624, 504, 496, 838, 728, 447, 361, 759, 204, 752, 546, 467, 771, 61, 816, 854, 649, 638, 679, 586, 470, 998, 343, 476, 475, 376, 673, 312, 761, 363, 922, 447, 110, 253, 848, 319, 832, 929, 332, 118, 806, 733, 122, 80, 880, 567, 66, 583, 30, 159, 895, 33, 266, 775, 578, 523, 738, 155, 226, 828, 323, 971, 807, 210, 403, 475, 519, 174, 814, 532, 193, 931, 578, 916, 547, 512, 624, 456, 431, 897, 193, 106, 735, 961, 140, 587, 299, 693, 818, 44, 567, 955, 974, 257, 54, 244, 636, 551, 918, 393, 455, 693, 190, 55, 796, 855, 718, 625, 498, 463, 237, 445, 362, 272, 127, 259, 970, 804, 944, 669, 847, 103, 592, 43, 354, 184, 907, 405, 366, 980, 536, 67, 149, 157, 210, 450, 195, 783, 544, 108, 702, 799, 668, 628, 756, 96, 969, 145, 942, 288, 770, 490, 250, 869, 391, 890, 602, 970, 847, 548, 510, 68, 115, 298, 60, 468, 620, 995, 437, 561, 350, 321, 413, 445, 788, 454, 190, 722, 261, 115, 387, 735, 930, 383, 615, 943, 673, 588, 440, 709, 971, 232, 995, 946, 337, 539, 72, 386, 327, 159, 723, 379, 178, 158, 562, 437, 503, 276, 286, 95, 148, 914, 895, 387, 358, 585, 927, 932, 889, 494, 343, 678, 409, 384, 87, 763, 206, 518, 46, 949, 166, 849, 810, 318, 619, 704, 448, 640, 323, 144, 943, 235, 259, 963, 83, 341, 916, 184, 953, 584, 496, 540, 944, 658, 337, 796, 23, 477, 802, 793, 109, 182, 406, 324, 289, 231, 453, 748, 142, 315, 959, 852, 553, 976, 343, 39, 604, 982, 35, 235, 40, 91, 142, 945, 747, 316, 230, 891, 803, 957, 684, 584, 269, 854, 660, 546, 453, 891, 442, 342, 212, 771, 110, 931, 873, 265, 309, 725, 818, 301, 188, 808, 435, 449, 272, 71, 543, 950, 393, 450, 842, 9, 445, 675, 975, 688, 279, 968, 201, 536, 564, 955, 58, 172, 625, 409, 300, 801, 286, 743, 404, 498, 977, 951, 464, 592, 149, 616, 257, 601, 256, 570, 745, 593, 178, 431, 325, 287, 54, 449, 266, 719, 1, 237, 838, 380, 19, 527, 743, 461, 176, 609, 655, 151, 5, 371, 271, 664, 893, 434, 373, 232, 817, 56, 620, 762, 140, 324, 756, 237, 973, 610, 830, 757, 109, 315, 494, 180, 352, 618, 601, 392, 798, 44, 781, 677, 959, 638, 400, 72, 692, 523, 106, 973, 234, 142, 335, 12, 395, 945, 187, 613, 266, 628, 393, 711, 226, 758, 279, 854, 694, 725, 476, 487, 535, 517, 29, 995, 977, 19, 382, 376, 596, 296, 313, 77, 740, 220, 167, 447, 358, 859, 845, 197, 910, 790, 564, 19, 782, 20, 599, 521, 175, 436, 157, 177, 304, 631, 66, 572, 500, 718, 849, 466, 746, 737, 956, 729, 662, 435, 384, 107, 575, 398, 593, 416, 567, 892, 774, 265, 98, 930, 723, 55, 196, 229, 209, 63, 989, 69, 836, 203, 167, 190, 838, 929, 278, 953, 106, 15, 35, 625, 790, 26, 542, 316, 17, 867, 381, 531, 452, 730, 798, 986, 683, 683, 516, 660, 648, 623, 928, 444, 442, 78, 46, 144, 493, 604, 587, 294, 533, 356, 782, 411, 888, 908, 548, 656, 538, 814, 401, 304, 767, 703, 550, 644, 82, 26, 529, 800, 38, 507, 910, 299, 860, 825, 782, 78, 478, 460, 165, 574, 57, 352, 310, 984, 361, 293, 318, 591, 391, 985, 164, 291, 225, 163, 41, 48, 111, 273, 328, 851, 722, 151, 967, 102, 709, 615, 256, 507, 968, 249, 245, 538, 870, 908, 745, 823, 253, 899, 166, 372, 275, 40, 988, 853, 136, 654, 675, 830, 49, 347, 573, 768, 176, 42, 267, 466, 543, 6, 431, 619, 917, 105, 662, 787, 485, 654, 156, 54, 641, 481, 350, 685, 938, 851, 463, 973, 76, 484, 529, 43, 398, 434, 575, 616, 916, 297, 435, 249, 43, 912, 140, 491, 964, 506, 178, 977, 187, 576, 88, 68, 413, 477, 319, 787, 919, 389, 511, 922, 688, 704, 918, 439, 290, 757, 299, 713, 135, 985, 88, 212, 191, 117, 407, 527, 87, 73, 517, 242, 170, 780, 124, 757, 105, 877, 44, 207, 59, 82, 274, 885, 203, 284, 272, 191, 858, 797, 10, 833, 334, 566, 444, 72, 621, 366, 630, 570, 98, 112, 858, 295, 381, 839, 990, 809, 30, 791, 157, 677, 833, 7, 311, 512, 934, 773, 939, 243, 322, 296, 136, 788, 549, 334, 925, 485, 765, 815, 194, 244, 948, 208, 763, 949, 209, 576, 485, 438, 278, 93, 896, 430, 956, 45, 699, 414, 650, 3, 454, 8, 342, 12, 661, 975, 158, 576, 185, 327, 187, 899, 562, 670, 240, 725, 792, 743, 516, 5, 945, 935, 433, 524, 158, 64, 927, 682, 354, 208, 568, 14, 11, 616, 145, 796, 651, 936, 372, 510, 836, 269, 324, 759, 125, 971, 656, 533, 904, 904, 68, 463, 886, 93, 278, 807, 792, 982, 168, 591, 188, 824, 953, 374, 767, 221, 170, 767, 797, 483, 163, 824, 731, 357, 480, 180, 441, 892, 108, 900, 325, 414, 585, 238, 575, 265, 948, 126, 932, 908, 774, 764, 174, 608, 557, 301, 247, 974, 674, 712, 844, 345}

    Returns: {1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0 }

  109. 1000

    {72, 953, 882, 81, 657, 100, 680, 741, 805, 440, 785, 258, 620, 180, 292, 37, 267, 531, 113, 995, 943, 994, 793, 633, 5, 796, 695, 790, 701, 829, 528, 963, 289, 948, 143, 954, 573, 287, 473, 230, 598, 315, 143, 28, 799, 380, 28, 64, 254, 265, 103, 683, 458, 38, 331, 859, 36, 372, 14, 212, 613, 666, 224, 638, 888, 290, 929, 255, 574, 269, 529, 61, 651, 929, 855, 208, 468, 905, 391, 501, 484, 965, 576, 630, 79, 827, 196, 76, 79, 991, 501, 121, 562, 31, 581, 688, 478, 599, 622, 495, 883, 718, 916, 109, 492, 361, 600, 664, 796, 360, 395, 554, 506, 641, 353, 555, 319, 94, 599, 974, 670, 756, 176, 253, 737, 414, 193, 7, 992, 853, 52, 529, 880, 603, 347, 605, 368, 294, 472, 726, 163, 72, 334, 104, 236, 789, 162, 690, 671, 400, 605, 955, 604, 409, 357, 691, 4, 322, 813, 252, 509, 486, 394, 142, 906, 834, 601, 602, 597, 639, 90, 650, 689, 845, 257, 759, 85, 227, 113, 992, 350, 878, 50, 149, 915, 702, 372, 163, 853, 693, 903, 847, 472, 450, 16, 237, 465, 833, 151, 567, 990, 651, 242, 792, 675, 132, 917, 470, 348, 532, 73, 470, 327, 596, 138, 232, 997, 550, 31, 827, 773, 997, 873, 148, 275, 655, 899, 808, 123, 548, 383, 737, 570, 808, 931, 483, 798, 320, 387, 862, 536, 626, 282, 608, 210, 578, 159, 817, 738, 977, 812, 339, 514, 797, 524, 367, 772, 684, 905, 793, 152, 165, 302, 490, 129, 794, 283, 525, 113, 356, 941, 955, 786, 593, 209, 718, 260, 817, 969, 286, 939, 482, 349, 702, 836, 228, 238, 759, 574, 211, 735, 424, 140, 73, 807, 618, 619, 95, 538, 585, 440, 748, 438, 349, 520, 254, 23, 507, 941, 107, 502, 457, 442, 454, 792, 977, 431, 151, 613, 513, 713, 898, 799, 41, 569, 309, 775, 953, 533, 742, 788, 584, 847, 155, 913, 17, 267, 221, 798, 392, 177, 884, 669, 623, 615, 443, 437, 209, 369, 687, 974, 995, 510, 931, 678, 647, 849, 787, 510, 726, 828, 90, 92, 456, 51, 350, 954, 291, 910, 352, 341, 48, 924, 506, 243, 10, 51, 983, 71, 732, 347, 887, 572, 107, 555, 251, 572, 428, 403, 785, 507, 17, 992, 251, 2, 629, 388, 887, 772, 390, 112, 396, 733, 970, 459, 383, 128, 629, 972, 862, 37, 990, 689, 303, 290, 422, 355, 589, 400, 375, 346, 568, 833, 983, 449, 19, 166, 530, 427, 972, 958, 27, 436, 834, 493, 963, 679, 946, 201, 964, 91, 966, 131, 896, 442, 853, 93, 620, 770, 135, 604, 700, 560, 406, 384, 870, 596, 863, 524, 286, 767, 702, 714, 854, 325, 207, 380, 758, 316, 141, 167, 367, 918, 225, 786, 972, 540, 914, 399, 564, 615, 709, 8, 915, 782, 816, 746, 725, 29, 557, 304, 211, 302, 361, 502, 97, 92, 313, 374, 463, 17, 583, 123, 964, 686, 787, 982, 759, 589, 332, 34, 861, 574, 710, 538, 961, 845, 145, 401, 985, 82, 516, 514, 358, 464, 595, 829, 51, 38, 141, 799, 79, 279, 563, 184, 452, 569, 245, 224, 242, 235, 243, 293, 95, 390, 217, 431, 402, 866, 959, 26, 385, 373, 131, 114, 250, 623, 346, 275, 719, 888, 219, 208, 641, 202, 84, 114, 306, 458, 545, 488, 539, 184, 857, 525, 266, 212, 824, 953, 391, 164, 82, 925, 907, 300, 489, 250, 45, 547, 355, 444, 286, 346, 923, 908, 446, 925, 423, 201, 589, 991, 406, 81, 480, 643, 724, 761, 358, 495, 757, 875, 336, 752, 381, 530, 606, 498, 304, 698, 898, 389, 606, 562, 979, 770, 842, 237, 401, 619, 77, 169, 714, 857, 66, 686, 10, 608, 52, 667, 384, 724, 689, 539, 179, 137, 958, 93, 238, 607, 408, 894, 699, 430, 465, 40, 682, 36, 543, 824, 753, 418, 494, 492, 126, 555, 984, 979, 729, 610, 300, 319, 969, 370, 110, 145, 165, 678, 435, 179, 651, 796, 827, 691, 295, 247, 957, 739, 439, 841, 439, 142, 12, 476, 138, 903, 806, 934, 521, 199, 49, 106, 176, 366, 817, 219, 23, 722, 279, 768, 838, 392, 784, 172, 813, 739, 741, 454, 43, 764, 534, 539, 745, 305, 804, 73, 777, 930, 332, 617, 754, 326, 127, 528, 309, 486, 868, 369, 704, 656, 646, 542, 333, 653, 110, 668, 659, 137, 200, 603, 121, 443, 207, 582, 332, 837, 270, 336, 850, 834, 38, 789, 684, 69, 64, 547, 709, 770, 849, 792, 376, 253, 151, 883, 822, 395, 928, 205, 170, 597, 262, 904, 387, 163, 718, 843, 671, 302, 582, 300, 284, 657, 666, 939, 765, 910, 823, 107, 49, 121, 274, 720, 562, 988, 791, 836, 965, 7, 742, 754, 948, 382, 273, 63, 870, 88, 903, 836, 278, 659, 98, 950, 662, 325, 631, 93, 358, 605, 179, 355, 579, 460, 258, 949, 761, 409, 810, 925, 627, 135, 196, 486, 986, 366, 656, 627, 917, 389, 287, 823, 342, 29, 87, 967, 629, 131, 584, 350, 252, 583, 360, 282, 249, 550, 405, 457, 595, 469, 693, 61, 682, 173, 285, 41, 955, 693, 825, 669, 913, 753, 297, 229, 360, 326, 633, 0, 403, 345, 668, 462, 13, 100, 886, 419, 385, 313, 278, 525, 716, 973, 644, 275, 855, 512, 753, 40, 273, 246, 368, 754, 373, 14, 446, 666, 194, 480, 427, 501, 815, 238, 376, 192, 3, 103, 217, 389, 949, 28, 436, 844, 615, 655, 476, 291, 610, 484, 250, 596, 495, 943, 695, 401, 758, 67, 662, 757, 742, 27, 916, 894, 318, 744, 310, 698, 534, 385, 682, 642, 733, 460, 998, 47, 690, 169, 908, 87, 784, 631, 95, 27, 752, 175, 858, 19, 19, 445, 18, 14, 83, 417, 641, 161, 728, 521, 470, 993, 285, 124, 337, 543, 133, 939, 223, 91, 293, 117, 927, 175, 324, 324, 957, 744, 217, 460, 124, 875, 75, 468, 120, 172, 3, 777, 837, 356, 766, 756, 938, 708, 173, 838, 826, 292, 318, 246, 859, 76, 469, 586, 732, 676, 915, 760, 898, 597, 804, 177, 540, 331, 337, 617, 904, 98, 660, 870, 600, 219, 20, 883, 101, 766, 226, 54, 338, 444, 71, 775, 206, 378, 33, 126, 656, 204, 39, 318, 410, 280, 773, 557, 341, 85, 115, 208, 727, 950, 237, 729, 529, 619, 305, 699, 677, 13, 240, 776, 430, 35, 592, 150, 694, 252, 402, 664, 352, 148, 688, 553, 52, 70, 221, 192, 148, 18, 795, 515, 815, 547, 567, 521, 24, 916, 856, 209, 994, 710, 981, 506, 114, 928, 327, 477, 513, 400, 900, 696, 636, 768, 476, 191, 632, 553, 603, 315, 311, 315, 905, 882, 610, 143, 222, 686, 205, 361, 130, 162, 861, 281, 381, 861, 88, 825, 145, 47, 595, 775, 600, 576, 800, 279, 586, 270, 659, 543, 324, 855, 331, 899, 422, 187, 31, 340, 823, 564, 169, 844, 86, 993, 489, 35, 851, 381, 729, 837, 166, 553, 336, 0, 672, 667, 679, 677, 886, 585, 714, 289, 383, 21, 900, 446, 824, 910, 357, 763, 454, 139, 119, 631, 788, 236, 427, 321, 200, 106, 930, 118, 229, 518, 579, 577, 538, 951, 387, 726, 492, 87, 362, 692, 765, 189, 503, 187, 926, 909, 84, 437, 623, 445, 806, 176, 572, 684, 904, 614, 967, 69, 386, 584, 251, 8, 709, 212, 210, 90, 20, 932, 152, 149, 362, 906, 660, 906, 786, 969, 81, 133, 743, 282, 950, 998, 654, 801, 838, 161, 374, 872, 719, 245, 475, 695, 840, 712, 392, 133, 262, 438, 636, 557, 782, 715, 518, 533, 578, 573, 957, 276, 968, 417, 242, 655, 782, 766, 601, 541, 106, 681, 988, 23, 788, 819, 661, 986, 785, 452, 627, 230, 64, 930, 49, 154, 653, 990, 672, 444, 484, 696, 203, 993, 229, 846, 711, 787, 805, 337, 890, 281, 198, 273, 733, 164, 617, 579, 207, 322, 578, 26, 104, 774, 363, 849, 485, 711, 220, 293, 628, 44, 667, 248, 739, 716, 391, 285, 585, 866, 966, 72, 704, 278, 430, 514, 845, 54, 166, 748, 810, 927, 88, 760, 421, 504, 352, 109, 488, 206, 975, 707, 777, 4, 604, 66, 37, 581, 502, 214, 128, 677, 507, 664, 290, 63, 29, 620, 5, 774, 692, 688, 790, 436, 757, 891, 410, 13, 339, 500, 109, 530, 660, 194, 342, 420, 329, 129, 954, 189, 497, 36, 936, 875, 257, 210, 43, 644, 269, 5, 561, 200, 638, 192, 122, 493, 469, 725, 773, 859, 428, 426, 934, 267, 772, 345, 515, 421, 69, 719, 800, 636, 202, 503, 103, 713, 991, 510, 142, 170, 224, 20, 493, 70, 445, 601, 970, 442, 225, 528, 254, 791, 357, 431, 672, 761, 971, 89, 230, 261, 833, 287, 887, 985, 518, 938, 793, 281, 929, 138, 723, 485, 768, 885, 235, 26, 554, 115, 583}

    {558, 675, 959, 415, 661, 146, 899, 97, 602, 393, 432, 284, 797, 524, 858, 6, 347, 576, 455, 268, 873, 96, 866, 675, 298, 399, 198, 618, 523, 42, 602, 594, 280, 637, 453, 467, 182, 873, 644, 214, 374, 935, 988, 351, 897, 548, 743, 781, 713, 663, 396, 865, 39, 180, 264, 865, 371, 924, 125, 411, 618, 317, 778, 520, 763, 7, 531, 876, 959, 378, 334, 863, 748, 867, 144, 647, 132, 814, 846, 325, 723, 812, 717, 922, 1, 291, 411, 658, 737, 508, 312, 871, 745, 698, 587, 962, 195, 471, 404, 231, 472, 232, 928, 108, 881, 652, 137, 96, 173, 126, 62, 268, 645, 818, 771, 171, 819, 105, 144, 973, 831, 856, 215, 53, 944, 575, 171, 248, 343, 803, 552, 101, 894, 590, 479, 960, 311, 662, 459, 466, 487, 839, 42, 308, 738, 449, 266, 487, 863, 981, 294, 704, 624, 68, 637, 643, 226, 911, 499, 707, 18, 998, 987, 371, 419, 181, 505, 305, 328, 206, 611, 371, 136, 314, 996, 542, 67, 411, 527, 505, 53, 941, 369, 611, 407, 366, 874, 690, 968, 189, 447, 334, 448, 422, 413, 839, 353, 187, 428, 505, 450, 628, 986, 244, 344, 565, 795, 233, 365, 168, 814, 188, 120, 338, 245, 994, 394, 891, 307, 9, 635, 379, 263, 178, 611, 351, 83, 545, 624, 92, 552, 982, 496, 520, 94, 902, 852, 234, 500, 99, 268, 517, 942, 494, 86, 474, 844, 71, 747, 354, 758, 102, 80, 30, 379, 738, 535, 592, 535, 77, 566, 218, 221, 989, 116, 612, 174, 920, 526, 544, 541, 80, 97, 762, 512, 880, 231, 277, 763, 895, 231, 57, 364, 776, 327, 440, 532, 511, 983, 780, 241, 717, 499, 549, 783, 134, 264, 890, 153, 100, 616, 522, 860, 204, 156, 55, 314, 877, 271, 266, 696, 301, 917, 130, 186, 249, 874, 889, 134, 386, 697, 272, 155, 962, 277, 820, 466, 965, 424, 703, 441, 91, 160, 927, 801, 947, 247, 44, 563, 811, 665, 307, 394, 706, 926, 256, 108, 864, 545, 508, 750, 536, 491, 80, 645, 58, 274, 980, 854, 697, 889, 276, 632, 609, 532, 519, 673, 420, 540, 182, 878, 342, 879, 701, 241, 961, 339, 872, 735, 234, 580, 566, 687, 162, 591, 645, 570, 911, 22, 731, 417, 828, 981, 897, 888, 648, 633, 731, 814, 937, 571, 900, 344, 330, 448, 42, 213, 791, 67, 820, 638, 800, 938, 453, 471, 960, 455, 129, 75, 397, 480, 710, 167, 750, 309, 213, 376, 820, 966, 60, 591, 937, 756, 108, 464, 822, 185, 136, 190, 975, 822, 755, 455, 68, 451, 312, 48, 975, 568, 412, 191, 886, 345, 590, 86, 280, 271, 183, 24, 433, 658, 816, 348, 892, 441, 118, 297, 933, 818, 58, 640, 118, 724, 111, 509, 178, 340, 779, 635, 630, 439, 393, 159, 978, 707, 830, 319, 233, 35, 203, 214, 751, 185, 434, 593, 613, 288, 588, 105, 537, 715, 104, 961, 244, 473, 663, 443, 323, 434, 423, 881, 909, 973, 560, 896, 852, 826, 50, 885, 508, 537, 395, 105, 58, 416, 463, 160, 556, 987, 637, 523, 982, 665, 624, 712, 264, 735, 625, 692, 932, 951, 890, 301, 569, 413, 751, 932, 802, 77, 974, 566, 721, 34, 727, 320, 732, 274, 658, 276, 375, 140, 84, 141, 335, 33, 433, 681, 522, 634, 6, 306, 632, 199, 706, 848, 835, 683, 475, 933, 11, 999, 378, 860, 599, 198, 649, 681, 780, 359, 54, 40, 220, 767, 111, 116, 780, 650, 452, 260, 885, 182, 971, 70, 511, 235, 12, 669, 517, 190, 299, 191, 373, 335, 744, 936, 694, 257, 299, 646, 154, 474, 119, 0, 537, 582, 461, 329, 418, 135, 590, 177, 649, 136, 429, 661, 563, 674, 101, 730, 559, 607, 32, 321, 39, 546, 193, 78, 102, 995, 403, 232, 239, 425, 218, 168, 565, 860, 749, 996, 531, 116, 674, 390, 831, 680, 9, 226, 407, 639, 203, 546, 499, 22, 712, 156, 694, 155, 429, 895, 306, 316, 984, 216, 721, 580, 213, 314, 922, 979, 912, 956, 554, 919, 676, 940, 46, 680, 474, 825, 338, 934, 769, 359, 241, 220, 609, 243, 743, 767, 481, 971, 195, 248, 2, 456, 127, 494, 223, 3, 310, 421, 326, 807, 477, 535, 441, 146, 222, 740, 196, 614, 790, 111, 592, 59, 871, 156, 598, 663, 262, 511, 913, 685, 462, 559, 363, 415, 195, 406, 868, 944, 943, 568, 412, 370, 821, 413, 471, 642, 997, 99, 862, 120, 451, 774, 473, 654, 946, 30, 435, 498, 947, 700, 368, 846, 483, 976, 186, 977, 303, 831, 588, 935, 515, 931, 363, 44, 490, 239, 945, 228, 912, 201, 840, 478, 534, 549, 341, 978, 857, 940, 877, 453, 249, 840, 388, 850, 801, 227, 647, 556, 1, 826, 122, 612, 901, 15, 715, 734, 740, 807, 876, 968, 246, 640, 948, 876, 458, 527, 586, 731, 259, 112, 24, 708, 240, 956, 45, 222, 893, 426, 764, 830, 970, 211, 781, 204, 367, 621, 749, 375, 328, 516, 851, 202, 56, 996, 46, 386, 482, 778, 328, 940, 952, 407, 269, 919, 261, 183, 437, 635, 522, 612, 598, 197, 625, 987, 703, 867, 288, 447, 296, 914, 812, 745, 435, 989, 674, 184, 830, 504, 762, 949, 639, 158, 947, 730, 89, 125, 228, 158, 172, 755, 533, 382, 728, 416, 594, 683, 881, 882, 751, 630, 832, 323, 864, 803, 560, 382, 408, 475, 879, 581, 45, 716, 308, 551, 561, 298, 912, 551, 183, 396, 477, 691, 188, 878, 976, 263, 802, 652, 344, 59, 255, 489, 942, 16, 864, 96, 564, 854, 491, 884, 892, 270, 181, 468, 933, 152, 59, 297, 558, 351, 418, 648, 478, 247, 722, 34, 316, 424, 8, 153, 708, 119, 134, 872, 958, 614, 752, 720, 256, 25, 320, 670, 124, 628, 728, 640, 550, 139, 967, 56, 868, 415, 701, 717, 856, 945, 409, 310, 485, 432, 497, 852, 653, 565, 765, 907, 874, 803, 22, 271, 784, 259, 946, 153, 818, 806, 832, 159, 922, 580, 115, 323, 734, 918, 188, 110, 871, 15, 298, 354, 295, 869, 705, 377, 256, 140, 503, 2, 980, 289, 746, 634, 244, 459, 829, 157, 82, 526, 544, 556, 722, 697, 821, 4, 526, 670, 330, 364, 634, 317, 240, 921, 335, 802, 544, 178, 227, 626, 527, 225, 487, 978, 552, 423, 923, 736, 999, 816, 962, 359, 215, 769, 99, 330, 465, 673, 736, 880, 496, 85, 410, 438, 847, 117, 122, 498, 426, 127, 781, 405, 490, 398, 685, 349, 379, 512, 258, 483, 952, 989, 567, 678, 233, 902, 174, 821, 112, 685, 587, 762, 139, 542, 734, 798, 47, 956, 65, 329, 56, 558, 549, 125, 804, 303, 377, 393, 260, 908, 668, 835, 594, 771, 621, 311, 794, 676, 808, 288, 841, 461, 819, 21, 450, 551, 12, 295, 919, 78, 711, 907, 412, 171, 255, 749, 884, 157, 892, 926, 869, 272, 608, 296, 365, 425, 648, 491, 301, 66, 429, 74, 16, 779, 55, 920, 921, 723, 593, 504, 304, 921, 160, 175, 9, 404, 253, 340, 626, 813, 384, 976, 165, 479, 312, 263, 755, 380, 157, 83, 920, 236, 901, 516, 918, 810, 128, 216, 149, 842, 937, 354, 150, 942, 283, 197, 296, 48, 317, 963, 895, 181, 32, 606, 467, 397, 573, 936, 482, 877, 11, 760, 308, 909, 523, 272, 657, 893, 130, 158, 186, 372, 432, 500, 265, 513, 265, 571, 741, 740, 117, 901, 869, 333, 783, 60, 815, 778, 673, 447, 94, 750, 215, 199, 53, 699, 15, 625, 65, 891, 307, 74, 205, 239, 46, 911, 223, 867, 89, 570, 896, 313, 809, 779, 879, 665, 481, 705, 75, 356, 591, 725, 646, 194, 809, 546, 616, 924, 414, 377, 622, 649, 197, 848, 541, 292, 343, 960, 461, 102, 216, 448, 736, 57, 720, 11, 561, 150, 783, 1, 277, 218, 402, 944, 388, 643, 98, 536, 747, 828, 364, 575, 571, 398, 61, 32, 404, 284, 433, 457, 488, 679, 848, 144, 609, 25, 43, 497, 730, 811, 902, 935, 843, 322, 397, 843, 63, 33, 408, 147, 794, 897, 41, 174, 321, 146, 985, 132, 147, 721, 170, 467, 809, 841, 123, 370, 50, 420, 700, 299, 68, 951, 914, 405, 850, 832, 769, 964, 154, 776, 333, 577, 509, 945, 365, 161, 577, 398, 168, 588, 642, 449, 362, 456, 167, 587, 839, 652, 481, 795, 147, 74, 789, 10, 519, 559, 62, 616, 463, 858, 259, 705, 6, 519, 185, 416, 671, 234, 399, 893, 889, 60, 193, 464, 835, 654, 952, 548, 283, 425, 294, 190, 727, 57, 984, 55, 496, 621, 650, 797, 703, 30, 479, 746, 771, 343, 980, 261, 923, 805, 466, 851, 517, 764, 842, 180, 811, 25, 348, 451, 78, 747, 575, 687, 62, 706, 65, 353, 21, 462, 164, 622, 76, 434, 999, 414, 607, 865, 419}

    Returns: {1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0 }

  110. 1000

    {838, 466, 269, 312, 833, 370, 594, 35, 659, 183, 445, 700, 967, 305, 895, 194, 833, 363, 771, 962, 69, 667, 948, 519, 767, 722, 606, 993, 89, 300, 383, 405, 478, 817, 184, 21, 277, 362, 667, 628, 924, 495, 440, 276, 517, 369, 129, 406, 886, 528, 376, 207, 92, 376, 987, 826, 725, 978, 143, 639, 126, 654, 181, 439, 309, 279, 149, 499, 368, 362, 521, 205, 29, 995, 544, 270, 826, 82, 561, 569, 115, 730, 724, 512, 115, 695, 453, 455, 179, 952, 684, 366, 980, 954, 853, 771, 441, 777, 479, 772, 136, 738, 257, 487, 271, 128, 824, 492, 233, 543, 373, 419, 887, 278, 310, 31, 507, 763, 502, 557, 478, 54, 250, 64, 454, 480, 727, 373, 474, 923, 178, 271, 232, 236, 117, 677, 304, 923, 646, 203, 566, 403, 198, 597, 285, 782, 746, 739, 841, 711, 58, 499, 698, 777, 764, 113, 482, 23, 44, 317, 362, 514, 682, 621, 982, 144, 946, 67, 541, 340, 360, 937, 657, 616, 677, 408, 560, 328, 226, 445, 23, 959, 872, 349, 742, 214, 770, 400, 916, 277, 306, 497, 734, 247, 689, 840, 211, 211, 383, 145, 734, 648, 745, 529, 383, 103, 874, 906, 249, 170, 915, 6, 824, 654, 449, 527, 703, 293, 765, 946, 552, 137, 575, 183, 392, 893, 812, 307, 692, 325, 744, 880, 580, 881, 58, 560, 448, 37, 268, 267, 273, 860, 940, 752, 982, 251, 895, 327, 769, 689, 700, 916, 799, 207, 683, 454, 91, 455, 412, 809, 26, 7, 262, 318, 121, 317, 815, 119, 587, 463, 836, 72, 799, 828, 973, 489, 724, 967, 470, 547, 779, 139, 661, 507, 557, 983, 405, 530, 532, 120, 313, 2, 67, 555, 794, 198, 563, 811, 48, 667, 782, 611, 313, 459, 871, 89, 126, 867, 136, 802, 187, 401, 400, 337, 705, 666, 589, 339, 706, 390, 849, 236, 106, 506, 719, 509, 416, 844, 337, 271, 215, 796, 36, 958, 624, 274, 244, 134, 285, 342, 620, 909, 298, 15, 27, 261, 691, 168, 469, 487, 274, 479, 230, 767, 788, 763, 410, 182, 761, 399, 646, 322, 134, 63, 795, 515, 452, 428, 504, 779, 803, 726, 234, 356, 359, 878, 406, 805, 906, 875, 120, 600, 78, 671, 201, 875, 514, 195, 791, 107, 185, 97, 757, 847, 206, 705, 500, 414, 872, 753, 164, 663, 118, 140, 856, 663, 377, 550, 562, 513, 215, 229, 686, 351, 163, 737, 656, 795, 442, 512, 250, 558, 37, 985, 965, 623, 874, 74, 752, 719, 317, 688, 75, 59, 772, 349, 117, 638, 121, 159, 599, 836, 483, 415, 280, 467, 262, 57, 672, 461, 419, 682, 939, 306, 412, 680, 691, 140, 678, 860, 182, 845, 323, 250, 619, 119, 45, 322, 655, 16, 860, 636, 155, 589, 497, 617, 360, 605, 75, 935, 578, 445, 510, 671, 775, 100, 46, 15, 938, 288, 167, 63, 968, 57, 273, 978, 332, 327, 165, 284, 934, 833, 633, 902, 736, 506, 295, 661, 831, 148, 924, 894, 883, 958, 313, 863, 581, 556, 618, 502, 885, 510, 330, 531, 604, 359, 79, 425, 534, 352, 959, 959, 771, 378, 109, 862, 823, 831, 981, 853, 177, 611, 952, 729, 389, 491, 351, 175, 598, 962, 206, 758, 593, 333, 192, 736, 797, 905, 87, 778, 113, 60, 741, 864, 200, 348, 679, 507, 448, 338, 962, 708, 630, 211, 718, 890, 384, 407, 640, 647, 486, 817, 8, 329, 613, 855, 258, 737, 48, 326, 558, 2, 346, 981, 874, 257, 615, 42, 164, 919, 997, 604, 804, 495, 586, 786, 158, 547, 994, 550, 48, 289, 209, 232, 942, 273, 811, 789, 378, 785, 549, 14, 828, 223, 389, 348, 106, 251, 135, 129, 659, 678, 799, 595, 99, 207, 985, 418, 157, 699, 912, 855, 670, 441, 242, 30, 721, 242, 593, 433, 341, 463, 742, 1, 242, 518, 453, 807, 887, 776, 183, 632, 672, 572, 932, 59, 157, 784, 24, 843, 110, 292, 990, 624, 360, 173, 590, 899, 73, 932, 247, 892, 762, 361, 206, 361, 745, 997, 741, 858, 88, 633, 967, 420, 519, 881, 850, 102, 566, 112, 800, 677, 797, 286, 639, 792, 525, 354, 601, 743, 717, 824, 43, 312, 889, 501, 94, 893, 387, 465, 217, 146, 681, 543, 93, 13, 693, 888, 775, 102, 332, 500, 45, 222, 345, 396, 418, 999, 514, 540, 267, 37, 838, 561, 526, 921, 529, 814, 559, 578, 551, 934, 674, 984, 607, 829, 184, 412, 26, 518, 626, 606, 518, 682, 868, 99, 792, 826, 957, 14, 517, 581, 691, 133, 861, 957, 396, 627, 731, 472, 119, 827, 494, 767, 172, 358, 440, 519, 354, 93, 365, 794, 689, 109, 482, 393, 894, 907, 42, 111, 818, 481, 545, 759, 693, 868, 809, 922, 780, 786, 864, 338, 64, 974, 409, 348, 99, 788, 479, 223, 170, 748, 319, 965, 249, 193, 728, 161, 73, 415, 280, 525, 659, 665, 60, 367, 172, 200, 205, 127, 208, 319, 530, 467, 318, 649, 197, 701, 283, 577, 340, 620, 733, 53, 452, 805, 243, 601, 423, 399, 578, 209, 423, 395, 681, 652, 327, 904, 720, 985, 798, 866, 757, 855, 58, 239, 421, 8, 326, 597, 310, 78, 908, 534, 869, 946, 527, 575, 305, 437, 418, 53, 234, 197, 316, 188, 495, 70, 588, 690, 615, 324, 25, 298, 441, 199, 311, 660, 883, 501, 921, 993, 181, 521, 122, 414, 496, 730, 901, 764, 690, 397, 970, 775, 309, 779, 804, 751, 228, 919, 998, 655, 7, 534, 522, 370, 117, 342, 520, 759, 923, 452, 648, 499, 555, 419, 996, 166, 551, 798, 194, 822, 234, 129, 367, 21, 24, 146, 41, 593, 291, 229, 108, 257, 159, 216, 505, 75, 825, 34, 141, 397, 540, 295, 487, 739, 293, 526, 70, 170, 95, 459, 934, 842, 510, 385, 35, 972, 101, 494, 472, 933, 111, 927, 807, 69, 761, 421, 384, 649, 52, 673, 660, 155, 794, 447, 738, 395, 700, 577, 875, 124, 454, 363, 515, 243, 929, 604, 708, 547, 390, 918, 78, 595, 288, 23, 212, 686, 656, 556, 676, 17, 872, 31, 173, 344, 280, 380, 350, 71, 663, 108, 553, 785, 275, 607, 137, 569, 307, 904, 931, 266, 323, 968, 233, 301, 296, 366, 753, 704, 598, 509, 970, 177, 15, 953, 505, 457, 766, 531, 420, 734, 124, 757, 544, 39, 474, 687, 902, 0, 998, 56, 453, 104, 413, 884, 109, 999, 687, 546, 866, 249, 29, 141, 322, 865, 469, 8, 324, 997, 163, 52, 630, 868, 963, 224, 185, 54, 409, 195, 156, 870, 81, 94, 666, 613, 0, 282, 165, 526, 192, 655, 184, 434, 295, 980, 200, 752, 790, 814, 105, 747, 765, 188, 161, 301, 687, 812, 920, 142, 158, 325, 561, 140, 674, 83, 304, 447, 649, 660, 992, 864, 309, 800, 637, 176, 191, 428, 13, 671, 191, 402, 254, 555, 203, 816, 415, 203, 489, 202, 621, 955, 481, 911, 812, 751, 366, 261, 400, 788, 26, 829, 332, 67, 73, 180, 513, 54, 639, 278, 340, 695, 816, 263, 34, 350, 841, 993, 285, 277, 69, 760, 456, 653, 646, 122, 528, 879, 803, 177, 175, 11, 935, 39, 586, 720, 346, 43, 537, 192, 678, 399, 634, 477, 401, 13, 12, 389, 948, 528, 160, 92, 527, 281, 255, 899, 202, 609, 391, 243, 904, 304, 461, 337, 106, 2, 284, 645, 888, 84, 103, 560, 503, 722, 906, 201, 898, 135, 254, 370, 597, 221, 385, 512, 703, 953, 387, 955, 111, 550, 995, 301, 62, 810, 380, 937, 414, 347, 619, 785, 920, 316, 912, 948, 895, 323, 605, 272, 627, 24, 878, 457, 169, 952, 745, 825, 643, 541, 500, 92, 979, 692, 208, 792, 809, 865, 983, 149, 783, 502, 955, 932, 805, 456, 291, 974, 810, 790, 14, 994, 486, 765, 777, 972, 466, 608, 307, 987, 12, 382, 174, 44, 892, 551, 221, 790, 413, 142, 557, 392, 838, 198, 549, 900, 957, 758, 581, 556, 105, 915, 585, 559, 746, 102, 645, 199, 814, 720, 984, 724, 455, 252, 105, 474, 376, 238, 635, 595, 7, 638, 421, 617, 281, 155, 714, 537, 521, 706, 522, 312, 104, 850, 563, 461, 650, 199, 278, 142, 298, 205, 262, 408, 406, 991, 384, 503, 887, 172, 844, 104, 375, 883, 751, 951, 161, 513, 645, 269, 852, 40, 674, 803, 552, 818, 96, 958, 797, 810, 841, 392, 432, 600, 17, 296, 936, 968, 274, 991, 789, 291, 293, 430, 533, 215, 963, 566, 395, 459, 708, 101, 565, 800, 856, 346, 422, 288, 963, 209, 831, 44, 491, 743, 448, 992, 496, 710, 408, 365, 171, 52, 300, 782, 466, 236, 158, 844, 750, 254, 572, 600, 681, 150, 231, 179, 622, 741, 784, 297, 239, 525, 727, 712, 705, 276, 182, 853, 703, 175, 634, 359, 884, 463, 630, 431, 447, 632, 126, 363, 16, 146}

    {917, 702, 950, 586, 698, 889, 290, 640, 125, 486, 940, 950, 218, 585, 485, 9, 63, 523, 468, 473, 768, 696, 986, 498, 756, 669, 330, 355, 112, 25, 732, 939, 130, 65, 633, 190, 732, 32, 377, 806, 592, 136, 852, 368, 657, 469, 241, 816, 491, 504, 152, 976, 658, 976, 272, 425, 267, 815, 656, 247, 683, 783, 83, 482, 850, 793, 9, 996, 774, 20, 989, 321, 885, 299, 235, 440, 944, 690, 59, 546, 927, 760, 451, 347, 629, 716, 729, 65, 286, 576, 39, 956, 939, 943, 822, 580, 914, 496, 935, 485, 429, 227, 125, 536, 379, 210, 787, 446, 847, 930, 265, 910, 225, 450, 212, 55, 275, 6, 358, 68, 90, 352, 511, 787, 123, 697, 87, 886, 533, 138, 662, 508, 386, 911, 372, 422, 61, 856, 813, 443, 680, 892, 79, 721, 127, 897, 594, 711, 626, 536, 733, 311, 80, 643, 942, 966, 231, 907, 230, 460, 980, 41, 848, 403, 823, 265, 889, 84, 711, 937, 986, 725, 365, 969, 28, 834, 584, 239, 294, 369, 916, 373, 989, 430, 913, 173, 917, 79, 835, 960, 697, 477, 819, 180, 22, 494, 910, 281, 960, 124, 834, 570, 260, 943, 369, 688, 849, 861, 625, 914, 508, 336, 17, 755, 928, 627, 928, 618, 849, 147, 840, 969, 565, 217, 245, 843, 647, 434, 246, 851, 18, 245, 4, 769, 796, 750, 74, 113, 121, 749, 949, 402, 325, 901, 869, 144, 437, 64, 563, 781, 88, 986, 696, 731, 213, 574, 983, 890, 100, 143, 679, 382, 944, 345, 699, 572, 768, 786, 675, 410, 823, 456, 387, 355, 388, 820, 422, 921, 218, 806, 631, 10, 508, 818, 634, 731, 780, 951, 573, 343, 460, 217, 723, 862, 70, 404, 74, 91, 287, 913, 827, 670, 484, 505, 758, 610, 540, 55, 553, 196, 535, 876, 564, 951, 977, 407, 287, 484, 582, 592, 795, 357, 613, 186, 388, 71, 315, 599, 483, 647, 190, 924, 306, 546, 450, 270, 450, 358, 190, 311, 723, 509, 529, 722, 308, 434, 914, 33, 732, 541, 876, 579, 692, 562, 386, 336, 493, 930, 688, 804, 644, 153, 564, 213, 754, 335, 626, 975, 303, 612, 793, 0, 538, 926, 326, 268, 651, 549, 882, 918, 533, 622, 787, 255, 480, 896, 582, 726, 820, 371, 776, 835, 131, 715, 773, 290, 405, 524, 617, 636, 943, 85, 9, 971, 990, 245, 398, 879, 426, 999, 331, 388, 925, 435, 356, 685, 774, 602, 685, 972, 259, 186, 717, 694, 178, 834, 754, 764, 938, 699, 840, 612, 475, 876, 154, 357, 762, 493, 973, 168, 438, 929, 427, 416, 85, 839, 425, 464, 225, 503, 965, 32, 848, 766, 736, 784, 86, 114, 871, 616, 238, 185, 329, 181, 80, 123, 846, 954, 160, 938, 730, 240, 334, 535, 219, 66, 101, 51, 180, 802, 240, 851, 36, 695, 733, 159, 42, 669, 34, 684, 189, 701, 187, 668, 614, 721, 356, 676, 542, 813, 896, 701, 707, 858, 62, 30, 411, 718, 164, 57, 38, 880, 704, 333, 40, 709, 179, 548, 644, 404, 364, 601, 567, 95, 498, 614, 564, 497, 925, 702, 714, 264, 710, 443, 573, 558, 76, 954, 287, 77, 428, 900, 342, 321, 715, 714, 806, 723, 162, 859, 867, 314, 961, 444, 46, 100, 432, 35, 276, 912, 439, 336, 832, 846, 89, 873, 462, 279, 713, 704, 429, 3, 709, 662, 237, 950, 162, 789, 611, 661, 668, 328, 614, 471, 302, 11, 152, 442, 228, 988, 837, 148, 664, 204, 903, 435, 675, 289, 139, 571, 3, 442, 4, 133, 433, 150, 589, 157, 331, 386, 204, 488, 27, 879, 596, 941, 258, 82, 47, 612, 272, 436, 996, 820, 759, 235, 393, 264, 391, 334, 628, 196, 398, 773, 867, 91, 808, 222, 171, 878, 928, 308, 621, 443, 623, 837, 350, 191, 338, 241, 472, 493, 398, 310, 819, 903, 397, 343, 253, 353, 464, 918, 709, 484, 625, 270, 125, 854, 610, 343, 93, 651, 947, 244, 97, 480, 888, 583, 893, 22, 584, 905, 761, 665, 587, 449, 931, 154, 574, 219, 817, 870, 470, 857, 202, 596, 778, 863, 520, 543, 684, 451, 910, 642, 539, 808, 90, 532, 214, 426, 108, 801, 599, 241, 607, 715, 166, 189, 913, 149, 668, 769, 98, 248, 755, 132, 979, 143, 166, 225, 232, 780, 882, 984, 195, 283, 669, 266, 413, 683, 520, 673, 66, 603, 353, 462, 153, 22, 483, 320, 776, 632, 56, 256, 756, 1, 861, 72, 998, 95, 763, 567, 531, 20, 982, 615, 252, 219, 255, 969, 658, 297, 378, 429, 846, 165, 110, 538, 811, 253, 150, 380, 339, 147, 144, 467, 712, 830, 114, 283, 46, 862, 141, 971, 717, 302, 933, 490, 658, 832, 571, 193, 821, 160, 945, 929, 368, 737, 32, 49, 45, 128, 107, 858, 670, 992, 55, 424, 314, 98, 86, 3, 275, 151, 740, 961, 334, 859, 843, 284, 880, 357, 435, 50, 116, 901, 251, 248, 290, 21, 813, 176, 427, 404, 411, 224, 227, 619, 654, 859, 680, 84, 390, 462, 216, 591, 629, 766, 976, 468, 300, 11, 258, 964, 791, 305, 801, 61, 132, 51, 116, 260, 393, 522, 592, 88, 476, 949, 56, 29, 431, 676, 819, 891, 836, 756, 394, 936, 927, 154, 303, 470, 643, 224, 427, 246, 473, 837, 396, 931, 773, 193, 320, 10, 47, 685, 355, 379, 324, 744, 679, 828, 5, 476, 458, 842, 96, 436, 16, 713, 260, 321, 933, 94, 778, 762, 583, 953, 204, 793, 218, 744, 605, 686, 308, 743, 103, 641, 749, 18, 990, 798, 132, 641, 650, 178, 576, 38, 458, 216, 637, 318, 516, 857, 174, 446, 238, 881, 706, 210, 468, 268, 231, 628, 62, 116, 76, 221, 747, 381, 781, 594, 213, 726, 391, 909, 208, 548, 650, 608, 602, 877, 19, 530, 214, 33, 403, 347, 490, 40, 863, 85, 574, 568, 189, 815, 372, 989, 664, 451, 492, 966, 237, 857, 30, 973, 28, 381, 269, 133, 19, 471, 832, 873, 333, 568, 877, 830, 748, 171, 796, 638, 371, 587, 83, 97, 829, 27, 590, 353, 801, 371, 66, 675, 36, 53, 220, 956, 768, 135, 970, 966, 577, 631, 571, 147, 616, 444, 261, 821, 866, 554, 145, 981, 18, 169, 623, 827, 320, 481, 417, 536, 220, 465, 222, 588, 869, 748, 201, 602, 433, 296, 329, 375, 81, 5, 167, 871, 477, 77, 344, 988, 977, 591, 642, 1, 532, 554, 314, 515, 407, 156, 364, 740, 139, 760, 940, 988, 128, 457, 926, 446, 253, 877, 565, 738, 548, 702, 640, 77, 740, 707, 235, 38, 82, 131, 411, 43, 294, 122, 517, 233, 882, 417, 822, 20, 112, 964, 911, 625, 464, 753, 754, 230, 553, 537, 579, 718, 673, 194, 228, 960, 712, 354, 949, 5, 570, 898, 28, 915, 523, 870, 50, 259, 975, 919, 908, 637, 545, 226, 374, 137, 263, 506, 608, 292, 315, 47, 791, 830, 905, 636, 961, 130, 379, 783, 897, 162, 134, 926, 344, 431, 424, 138, 167, 539, 936, 223, 750, 956, 725, 542, 212, 523, 174, 364, 6, 576, 994, 851, 978, 436, 33, 666, 315, 845, 303, 163, 319, 975, 947, 925, 196, 259, 728, 61, 598, 567, 444, 289, 579, 580, 302, 974, 603, 570, 330, 847, 490, 256, 501, 657, 516, 432, 716, 710, 922, 591, 739, 585, 545, 821, 568, 316, 68, 735, 644, 226, 87, 138, 631, 475, 629, 256, 707, 697, 229, 909, 81, 426, 885, 584, 72, 971, 665, 110, 622, 825, 49, 424, 266, 335, 385, 282, 244, 854, 559, 114, 698, 372, 439, 524, 50, 835, 772, 246, 694, 945, 96, 930, 898, 437, 569, 641, 653, 240, 394, 71, 848, 488, 987, 471, 618, 382, 727, 402, 152, 118, 755, 839, 25, 781, 609, 168, 899, 944, 12, 430, 865, 127, 735, 903, 538, 573, 98, 86, 635, 609, 282, 991, 381, 188, 900, 845, 539, 349, 41, 118, 131, 894, 476, 839, 945, 409, 716, 802, 286, 458, 148, 237, 115, 842, 977, 341, 294, 922, 156, 648, 504, 197, 328, 694, 735, 120, 423, 248, 664, 31, 51, 896, 770, 917, 662, 420, 264, 169, 770, 297, 891, 728, 979, 449, 596, 652, 186, 498, 897, 465, 153, 746, 902, 908, 292, 808, 635, 652, 341, 886, 438, 693, 68, 210, 588, 524, 473, 554, 542, 890, 603, 552, 941, 176, 339, 279, 516, 335, 151, 438, 60, 220, 151, 742, 107, 374, 995, 535, 852, 252, 653, 4, 416, 478, 807, 492, 299, 854, 367, 76, 485, 907, 299, 511, 947, 417, 227, 511, 575, 891, 10, 145, 265, 562, 942, 263, 394, 583, 374, 488, 351, 331, 747, 624, 489, 90, 187, 606, 475, 873, 460, 377, 352, 123, 920, 642, 696, 49, 749, 582, 65, 130, 774, 401, 729, 590, 610, 345, 361, 620, 375, 941, 651, 19, 672, 884, 719, 410, 80, 544, 964, 713}

    Returns: {1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1 }

  111. 1000

    {188, 754, 279, 86, 153, 94, 745, 685, 609, 404, 956, 92, 396, 278, 959, 611, 413, 727, 525, 800, 274, 963, 915, 673, 173, 206, 968, 835, 718, 299, 688, 96, 306, 480, 565, 336, 865, 743, 681, 822, 24, 976, 744, 830, 884, 390, 66, 972, 919, 249, 517, 853, 157, 131, 324, 545, 306, 425, 930, 946, 772, 363, 463, 825, 212, 411, 229, 734, 209, 260, 61, 853, 992, 755, 103, 200, 548, 829, 828, 721, 34, 8, 95, 372, 885, 507, 468, 147, 911, 217, 988, 659, 65, 678, 993, 458, 236, 270, 625, 344, 386, 864, 170, 882, 171, 648, 851, 396, 782, 593, 930, 644, 336, 664, 183, 11, 663, 56, 1, 454, 416, 536, 790, 883, 796, 706, 175, 84, 511, 417, 480, 168, 100, 631, 52, 194, 577, 940, 899, 186, 410, 189, 463, 669, 869, 706, 416, 356, 38, 591, 759, 670, 576, 409, 405, 190, 916, 680, 318, 759, 99, 822, 252, 718, 657, 342, 974, 800, 586, 240, 699, 90, 479, 974, 912, 574, 151, 431, 375, 708, 150, 763, 596, 520, 355, 285, 698, 204, 899, 598, 42, 67, 856, 606, 134, 894, 781, 872, 183, 63, 320, 113, 125, 377, 492, 517, 546, 189, 684, 20, 39, 889, 826, 411, 777, 631, 810, 759, 863, 465, 34, 71, 616, 907, 529, 205, 551, 526, 709, 239, 444, 341, 405, 560, 27, 649, 537, 675, 466, 897, 32, 178, 220, 56, 379, 852, 429, 902, 420, 169, 152, 242, 280, 91, 890, 268, 915, 730, 919, 398, 546, 860, 71, 921, 612, 963, 165, 37, 68, 596, 359, 31, 927, 275, 764, 217, 859, 557, 650, 528, 463, 268, 772, 309, 394, 173, 827, 683, 464, 602, 562, 930, 183, 5, 940, 936, 704, 704, 385, 137, 654, 674, 563, 695, 141, 942, 708, 91, 451, 401, 780, 777, 322, 641, 689, 953, 385, 302, 270, 924, 108, 209, 818, 312, 111, 987, 783, 664, 468, 142, 576, 827, 176, 952, 27, 646, 537, 364, 136, 414, 588, 150, 578, 774, 475, 615, 501, 165, 745, 100, 92, 378, 290, 123, 453, 37, 444, 17, 569, 683, 818, 687, 807, 667, 770, 30, 140, 506, 875, 81, 147, 317, 114, 621, 944, 557, 160, 545, 153, 195, 81, 804, 530, 694, 769, 547, 48, 649, 504, 796, 7, 337, 158, 592, 851, 138, 546, 188, 441, 676, 823, 561, 512, 509, 771, 683, 594, 804, 574, 396, 972, 156, 207, 795, 722, 4, 801, 167, 779, 613, 437, 523, 110, 749, 849, 612, 124, 590, 353, 127, 54, 609, 266, 17, 894, 127, 373, 251, 545, 621, 558, 157, 789, 432, 510, 457, 69, 289, 951, 813, 132, 139, 442, 639, 736, 358, 681, 908, 973, 762, 992, 424, 355, 162, 18, 756, 711, 354, 971, 502, 645, 224, 766, 600, 843, 168, 12, 839, 376, 642, 499, 634, 166, 768, 47, 722, 150, 641, 390, 249, 539, 311, 62, 760, 486, 263, 142, 557, 39, 486, 579, 878, 414, 434, 539, 428, 926, 808, 295, 986, 829, 774, 744, 36, 595, 993, 535, 444, 400, 87, 597, 237, 965, 584, 25, 750, 472, 31, 22, 944, 430, 110, 401, 208, 239, 582, 801, 544, 734, 989, 903, 762, 664, 230, 367, 639, 858, 408, 473, 559, 684, 561, 824, 213, 870, 582, 869, 278, 378, 605, 939, 617, 520, 303, 205, 701, 906, 983, 989, 796, 2, 908, 768, 0, 304, 500, 889, 318, 103, 107, 760, 496, 166, 273, 305, 246, 374, 870, 860, 968, 790, 510, 53, 404, 665, 673, 913, 232, 167, 16, 672, 407, 567, 623, 564, 929, 620, 881, 789, 621, 669, 681, 16, 720, 784, 482, 790, 646, 33, 770, 913, 990, 133, 33, 714, 302, 949, 161, 534, 422, 904, 214, 908, 795, 920, 894, 154, 334, 558, 464, 285, 175, 954, 777, 598, 443, 962, 448, 760, 657, 134, 814, 383, 497, 286, 132, 373, 429, 792, 97, 427, 887, 611, 592, 803, 112, 793, 781, 501, 734, 121, 61, 261, 799, 554, 204, 507, 512, 764, 874, 253, 80, 89, 652, 487, 4, 159, 648, 962, 295, 726, 509, 618, 336, 842, 934, 457, 192, 17, 52, 659, 350, 909, 341, 66, 51, 840, 432, 451, 687, 488, 263, 417, 726, 14, 797, 616, 939, 400, 186, 390, 466, 325, 937, 597, 821, 625, 803, 215, 931, 155, 441, 881, 56, 885, 678, 132, 617, 145, 822, 806, 268, 49, 815, 321, 112, 809, 151, 107, 240, 711, 623, 841, 776, 462, 732, 801, 55, 311, 909, 645, 674, 898, 296, 666, 491, 837, 290, 489, 19, 72, 212, 30, 391, 102, 996, 482, 129, 813, 332, 296, 151, 170, 600, 235, 950, 467, 81, 149, 178, 117, 997, 604, 270, 698, 916, 553, 817, 129, 803, 309, 231, 359, 679, 918, 666, 312, 428, 242, 366, 816, 441, 117, 641, 550, 938, 766, 138, 208, 936, 304, 304, 972, 43, 935, 245, 568, 665, 849, 864, 942, 787, 652, 370, 994, 215, 217, 144, 814, 821, 841, 122, 816, 577, 985, 663, 237, 322, 58, 245, 701, 71, 921, 465, 11, 401, 173, 763, 117, 807, 984, 274, 454, 744, 451, 241, 806, 564, 312, 833, 375, 208, 391, 501, 674, 713, 533, 83, 491, 156, 762, 510, 633, 787, 793, 653, 619, 997, 261, 285, 549, 536, 472, 799, 726, 118, 518, 922, 477, 522, 96, 931, 623, 983, 647, 602, 462, 861, 673, 647, 685, 986, 550, 769, 893, 400, 549, 412, 829, 836, 62, 927, 323, 553, 625, 187, 984, 83, 927, 793, 169, 720, 421, 859, 26, 907, 203, 900, 502, 455, 643, 176, 633, 446, 696, 660, 783, 861, 680, 206, 326, 465, 478, 15, 914, 733, 554, 676, 850, 416, 251, 353, 999, 394, 363, 472, 218, 938, 32, 864, 997, 340, 212, 224, 293, 161, 629, 224, 332, 902, 426, 259, 733, 506, 522, 166, 728, 637, 885, 484, 983, 26, 456, 77, 907, 552, 65, 833, 461, 386, 191, 571, 403, 802, 817, 468, 292, 933, 703, 33, 609, 147, 843, 862, 213, 125, 115, 565, 960, 16, 658, 675, 922, 824, 627, 541, 503, 158, 959, 454, 321, 985, 530, 370, 90, 57, 484, 171, 73, 358, 74, 489, 466, 688, 715, 372, 735, 604, 514, 45, 755, 155, 638, 696, 292, 599, 110, 918, 45, 378, 722, 278, 745, 461, 692, 774, 376, 47, 327, 382, 180, 558, 260, 80, 167, 213, 870, 654, 976, 114, 658, 40, 220, 565, 328, 585, 904, 62, 139, 229, 591, 886, 187, 325, 318, 247, 399, 575, 738, 227, 802, 57, 922, 368, 410, 901, 305, 40, 196, 954, 906, 612, 139, 67, 977, 839, 568, 844, 940, 357, 614, 382, 113, 830, 248, 536, 956, 955, 190, 692, 219, 149, 828, 455, 337, 488, 616, 417, 394, 457, 363, 970, 600, 672, 956, 858, 49, 72, 654, 86, 240, 107, 653, 488, 914, 163, 220, 134, 250, 260, 245, 280, 383, 926, 969, 15, 37, 1, 32, 815, 957, 994, 358, 913, 339, 901, 944, 494, 83, 708, 68, 36, 52, 967, 513, 309, 259, 328, 366, 852, 626, 614, 44, 57, 960, 357, 684, 373, 848, 986, 969, 887, 701, 933, 155, 325, 281, 650, 961, 115, 512, 957, 970, 835, 296, 160, 772, 646, 917, 203, 470, 494, 652, 442, 981, 984, 215, 455, 591, 923, 308, 216, 76, 308, 158, 851, 841, 764, 75, 279, 966, 202, 882, 769, 649, 91, 266, 809, 714, 490, 456, 951, 255, 766, 371, 375, 993, 277, 603, 491, 639, 650, 850, 494, 732, 526, 828, 514, 776, 991, 704, 484, 352, 707, 810, 743, 222, 324, 431, 872, 476, 504, 604, 127, 653, 971, 719, 714, 624, 507, 36, 906, 819, 892, 251, 585, 44, 98, 899, 964, 467, 706, 239, 858, 945, 992, 359, 687, 274, 286, 827, 945, 996, 569, 341, 144, 579, 514, 194, 815, 293, 919, 999, 819, 883, 846, 22, 389, 770, 13, 4, 244, 323, 948, 991, 481, 720, 3, 284, 685, 188, 307, 500, 739, 192, 311, 500, 800, 126, 904, 293, 413, 845, 125, 450, 593, 888, 868, 55, 364, 385, 453, 413, 692, 642, 547, 933, 794, 391, 912, 108, 168, 355, 73, 679, 0, 322, 978, 732, 489, 221, 900, 55, 115, 73, 235, 314, 203, 915, 590, 200, 58, 352, 136, 859, 323, 34, 571, 718, 628, 372, 164, 72, 707, 931, 554, 249, 409, 364, 290, 607, 255, 756, 981, 970, 519, 475, 789, 909, 344, 802, 153, 678, 256, 826, 340, 889, 295, 959, 560, 974, 277, 576, 874, 816, 25, 667, 9, 743, 613, 256, 226, 820, 809, 776, 74, 519, 218, 670, 880, 357, 95, 201, 480, 273, 589, 122, 569, 883, 928, 763, 499, 599, 642, 200, 595, 833, 880, 48, 201, 716, 670, 559, 156, 952, 376, 482, 31, 730, 63, 99, 905, 999, 361, 866, 241, 550, 216, 509, 568, 230, 700, 221, 821, 13, 374, 520, 425, 370, 990}

    {257, 580, 135, 276, 498, 869, 402, 669, 347, 419, 294, 543, 562, 606, 552, 121, 834, 830, 812, 79, 577, 566, 446, 271, 141, 197, 395, 525, 85, 178, 635, 333, 342, 282, 584, 736, 757, 177, 694, 24, 345, 533, 615, 471, 21, 895, 64, 104, 230, 847, 228, 950, 447, 521, 700, 868, 540, 458, 222, 648, 477, 197, 508, 406, 876, 64, 7, 503, 891, 492, 875, 628, 381, 265, 757, 785, 791, 812, 850, 297, 344, 241, 397, 891, 43, 528, 498, 659, 524, 594, 113, 513, 527, 478, 211, 283, 990, 415, 671, 910, 741, 438, 717, 893, 632, 721, 243, 516, 425, 182, 737, 301, 216, 690, 948, 496, 101, 365, 163, 601, 945, 11, 898, 333, 808, 198, 695, 28, 686, 551, 837, 855, 418, 671, 705, 225, 567, 877, 995, 823, 76, 393, 476, 878, 739, 300, 24, 47, 647, 60, 622, 181, 398, 635, 941, 888, 831, 2, 771, 788, 920, 392, 266, 393, 87, 540, 473, 424, 474, 170, 693, 836, 6, 957, 518, 185, 78, 362, 407, 131, 317, 301, 97, 338, 660, 943, 351, 89, 194, 35, 74, 863, 388, 267, 742, 707, 958, 622, 48, 291, 740, 634, 606, 439, 506, 866, 538, 3, 20, 471, 542, 101, 644, 700, 729, 231, 448, 747, 423, 379, 334, 9, 952, 403, 313, 85, 657, 924, 105, 246, 697, 508, 739, 116, 377, 633, 104, 338, 768, 119, 255, 84, 152, 223, 193, 145, 601, 82, 23, 162, 44, 492, 106, 528, 305, 426, 264, 282, 254, 811, 427, 9, 860, 93, 637, 298, 219, 661, 265, 873, 934, 105, 104, 106, 331, 723, 326, 26, 597, 675, 29, 715, 411, 529, 773, 593, 461, 486, 258, 965, 807, 211, 778, 579, 735, 928, 655, 710, 892, 272, 693, 371, 59, 668, 467, 988, 356, 343, 713, 747, 15, 436, 552, 620, 177, 233, 872, 236, 932, 834, 779, 689, 497, 228, 635, 435, 313, 840, 938, 758, 533, 493, 715, 179, 439, 5, 527, 418, 219, 640, 380, 581, 78, 88, 111, 120, 459, 878, 50, 495, 236, 781, 243, 438, 721, 25, 264, 321, 527, 832, 315, 825, 911, 257, 445, 18, 429, 21, 508, 130, 610, 440, 682, 478, 713, 724, 797, 805, 180, 688, 199, 875, 740, 142, 605, 154, 395, 563, 967, 51, 225, 450, 756, 953, 651, 348, 161, 976, 610, 126, 962, 310, 384, 742, 58, 636, 723, 476, 21, 269, 433, 238, 975, 449, 627, 102, 548, 712, 262, 946, 995, 671, 627, 348, 330, 335, 432, 152, 182, 882, 705, 643, 12, 662, 752, 855, 608, 185, 810, 415, 942, 891, 628, 998, 661, 90, 741, 662, 798, 369, 316, 193, 855, 282, 998, 871, 114, 77, 280, 592, 424, 746, 843, 798, 555, 28, 348, 806, 388, 380, 422, 287, 237, 148, 797, 893, 392, 75, 330, 97, 172, 122, 80, 578, 521, 121, 440, 502, 566, 634, 223, 273, 668, 331, 886, 387, 677, 327, 556, 207, 731, 410, 750, 86, 123, 41, 276, 566, 656, 70, 877, 229, 838, 18, 387, 754, 691, 315, 890, 453, 319, 848, 631, 243, 928, 640, 573, 709, 388, 824, 265, 210, 892, 10, 873, 172, 276, 165, 689, 269, 93, 753, 0, 326, 182, 730, 699, 456, 921, 690, 896, 130, 867, 811, 427, 505, 610, 564, 773, 595, 452, 248, 343, 160, 226, 198, 856, 607, 516, 963, 902, 50, 46, 350, 51, 437, 435, 867, 865, 211, 119, 49, 284, 42, 360, 596, 581, 41, 434, 778, 40, 716, 538, 905, 119, 740, 135, 414, 935, 352, 521, 469, 755, 572, 10, 218, 351, 754, 853, 291, 544, 677, 244, 767, 495, 339, 146, 901, 896, 362, 279, 751, 148, 727, 943, 751, 761, 412, 680, 679, 727, 742, 443, 555, 135, 845, 256, 103, 847, 349, 483, 767, 842, 458, 624, 277, 89, 979, 845, 946, 968, 474, 876, 697, 767, 469, 723, 272, 617, 861, 428, 873, 191, 233, 854, 406, 120, 421, 64, 447, 234, 518, 978, 735, 497, 705, 338, 14, 752, 210, 82, 93, 733, 45, 347, 366, 138, 87, 54, 788, 146, 948, 879, 998, 971, 712, 686, 198, 289, 703, 94, 559, 334, 61, 477, 599, 690, 289, 765, 589, 863, 605, 297, 238, 951, 556, 164, 471, 360, 54, 808, 75, 382, 799, 587, 955, 602, 77, 695, 562, 603, 941, 580, 539, 288, 181, 846, 840, 116, 981, 179, 190, 563, 918, 124, 920, 369, 748, 580, 421, 227, 663, 337, 619, 448, 746, 791, 710, 42, 757, 314, 795, 857, 184, 538, 524, 753, 969, 399, 880, 587, 831, 371, 271, 169, 234, 232, 207, 640, 435, 637, 46, 958, 460, 174, 517, 367, 310, 253, 28, 542, 583, 529, 291, 917, 712, 982, 281, 636, 402, 570, 171, 935, 360, 794, 53, 950, 53, 884, 14, 78, 513, 303, 351, 588, 180, 272, 749, 306, 780, 298, 895, 738, 288, 876, 638, 581, 897, 702, 223, 128, 854, 949, 751, 487, 286, 192, 481, 586, 682, 438, 847, 839, 105, 643, 987, 140, 655, 143, 356, 594, 791, 903, 349, 775, 656, 368, 826, 556, 269, 682, 567, 259, 96, 771, 749, 301, 267, 866, 761, 340, 540, 871, 728, 449, 143, 667, 603, 516, 898, 953, 925, 307, 443, 838, 676, 199, 27, 145, 924, 329, 307, 314, 525, 929, 128, 804, 832, 324, 184, 120, 989, 575, 247, 487, 523, 979, 879, 320, 785, 544, 141, 698, 470, 519, 573, 131, 666, 835, 731, 175, 537, 522, 109, 632, 483, 694, 505, 629, 163, 384, 668, 773, 254, 724, 462, 886, 977, 620, 479, 994, 532, 496, 201, 761, 39, 570, 618, 126, 262, 702, 60, 181, 716, 792, 703, 818, 534, 541, 252, 242, 368, 782, 958, 108, 645, 857, 439, 973, 365, 377, 846, 916, 584, 555, 41, 65, 725, 101, 534, 176, 140, 823, 884, 335, 786, 459, 404, 362, 6, 302, 587, 262, 402, 868, 710, 433, 966, 313, 343, 210, 888, 805, 531, 275, 583, 232, 814, 186, 452, 785, 94, 303, 235, 346, 10, 965, 725, 588, 820, 8, 69, 975, 765, 874, 431, 209, 586, 553, 848, 736, 38, 871, 607, 5, 60, 991, 523, 227, 626, 624, 485, 578, 693, 571, 177, 614, 493, 294, 949, 709, 485, 549, 862, 369, 298, 996, 226, 862, 717, 611, 342, 787, 493, 575, 7, 849, 329, 724, 782, 498, 118, 185, 473, 383, 257, 412, 409, 346, 758, 159, 929, 133, 651, 737, 79, 896, 23, 258, 437, 464, 832, 250, 729, 143, 92, 485, 572, 433, 658, 844, 193, 129, 70, 947, 686, 422, 857, 574, 844, 954, 905, 379, 317, 79, 748, 423, 531, 937, 408, 812, 436, 118, 20, 914, 59, 619, 758, 532, 987, 947, 82, 445, 784, 123, 423, 354, 613, 389, 511, 779, 407, 19, 638, 130, 195, 775, 361, 111, 548, 389, 328, 253, 374, 350, 333, 590, 214, 943, 196, 329, 281, 934, 434, 287, 661, 780, 615, 202, 794, 903, 38, 271, 406, 292, 731, 765, 691, 582, 672, 430, 30, 204, 910, 405, 783, 137, 222, 102, 820, 530, 937, 19, 258, 380, 206, 452, 300, 601, 353, 651, 246, 608, 84, 499, 283, 819, 327, 515, 632, 798, 786, 469, 877, 335, 660, 459, 511, 960, 975, 263, 35, 174, 961, 345, 955, 23, 100, 349, 197, 316, 662, 136, 980, 299, 287, 450, 897, 46, 825, 696, 817, 490, 547, 59, 741, 392, 750, 483, 442, 923, 162, 275, 137, 630, 980, 737, 854, 172, 911, 837, 361, 288, 598, 585, 834, 541, 310, 199, 784, 109, 495, 116, 331, 403, 503, 881, 728, 445, 656, 912, 910, 964, 515, 2, 856, 387, 526, 35, 386, 630, 842, 202, 622, 196, 977, 460, 254, 225, 570, 70, 608, 618, 475, 345, 746, 831, 99, 430, 420, 964, 252, 191, 629, 29, 426, 836, 561, 88, 393, 630, 98, 729, 106, 838, 308, 531, 717, 43, 320, 384, 261, 184, 778, 418, 532, 420, 205, 786, 76, 811, 775, 88, 941, 300, 691, 995, 900, 149, 939, 449, 250, 665, 267, 365, 367, 144, 221, 982, 479, 788, 551, 187, 332, 879, 719, 474, 85, 13, 29, 408, 515, 542, 711, 890, 248, 109, 852, 381, 505, 979, 381, 655, 231, 8, 966, 573, 636, 697, 460, 985, 867, 978, 947, 330, 419, 967, 481, 3, 397, 447, 179, 319, 752, 524, 446, 988, 699, 6, 725, 543, 973, 299, 12, 980, 961, 195, 397, 504, 865, 22, 583, 63, 719, 354, 316, 572, 747, 982, 244, 284, 50, 346, 234, 748, 925, 398, 926, 157, 297, 470, 189, 560, 339, 294, 535, 490, 238, 932, 133, 923, 228, 264, 233, 535, 112, 128, 738, 1, 925, 164, 399, 895, 887, 347, 154, 174, 148, 214, 315, 936, 415, 792, 146, 644, 98, 813, 68, 753, 932, 589, 419, 436, 319, 95, 159, 917, 124, 395, 67, 702, 66, 805, 677, 626, 440, 69, 283, 543, 247}

    Returns: {0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0 }

  112. 1000

    {931, 746, 659, 34, 374, 433, 241, 774, 874, 634, 46, 904, 527, 113, 733, 80, 833, 679, 72, 892, 135, 194, 615, 511, 79, 430, 774, 791, 576, 528, 232, 493, 847, 300, 920, 838, 551, 660, 64, 473, 640, 862, 958, 861, 302, 877, 352, 821, 290, 19, 32, 619, 657, 25, 330, 804, 343, 614, 598, 641, 386, 443, 50, 699, 925, 126, 810, 324, 507, 24, 797, 641, 213, 89, 85, 935, 610, 376, 942, 990, 576, 721, 600, 486, 537, 239, 225, 925, 20, 544, 573, 791, 784, 347, 267, 211, 773, 742, 603, 988, 749, 826, 803, 260, 312, 655, 781, 410, 543, 93, 281, 348, 905, 335, 168, 244, 823, 202, 784, 888, 225, 83, 445, 52, 48, 426, 932, 441, 677, 914, 451, 464, 878, 69, 817, 234, 610, 706, 676, 614, 734, 451, 625, 970, 223, 462, 737, 491, 678, 35, 715, 593, 638, 843, 21, 683, 547, 325, 573, 847, 978, 145, 293, 830, 243, 518, 906, 220, 880, 624, 615, 758, 776, 555, 975, 970, 505, 321, 722, 844, 989, 311, 578, 164, 8, 954, 42, 646, 190, 384, 995, 820, 368, 120, 578, 79, 894, 942, 501, 295, 301, 3, 169, 326, 184, 924, 793, 744, 197, 616, 334, 745, 204, 377, 17, 636, 628, 666, 352, 657, 891, 959, 587, 651, 335, 444, 259, 768, 149, 955, 800, 159, 985, 892, 426, 928, 928, 774, 675, 95, 546, 127, 15, 446, 115, 254, 96, 857, 673, 518, 132, 408, 152, 256, 865, 963, 273, 911, 0, 935, 140, 73, 257, 171, 292, 582, 15, 302, 99, 897, 474, 430, 19, 831, 182, 176, 42, 530, 459, 872, 404, 207, 95, 119, 53, 847, 762, 548, 693, 563, 127, 386, 936, 414, 338, 830, 322, 89, 350, 182, 103, 248, 269, 218, 67, 160, 647, 306, 582, 544, 134, 978, 175, 841, 975, 563, 55, 2, 151, 165, 134, 311, 463, 292, 927, 804, 777, 808, 329, 377, 983, 511, 76, 511, 221, 303, 68, 126, 423, 908, 507, 55, 263, 242, 153, 449, 507, 188, 376, 714, 460, 739, 836, 729, 603, 101, 956, 121, 272, 621, 610, 400, 958, 634, 860, 61, 426, 28, 692, 249, 630, 955, 200, 231, 843, 272, 573, 94, 671, 191, 499, 300, 575, 288, 461, 764, 702, 314, 54, 594, 170, 691, 828, 927, 555, 798, 897, 224, 157, 868, 434, 930, 78, 322, 472, 503, 861, 921, 780, 595, 259, 456, 141, 264, 867, 538, 55, 466, 406, 655, 114, 473, 375, 321, 556, 289, 874, 352, 577, 351, 354, 635, 231, 9, 687, 487, 258, 202, 530, 90, 497, 66, 121, 906, 700, 485, 550, 427, 18, 312, 592, 122, 104, 937, 422, 174, 521, 859, 321, 52, 833, 331, 344, 238, 701, 466, 341, 164, 976, 396, 531, 425, 738, 711, 767, 141, 773, 636, 212, 218, 73, 448, 524, 204, 601, 686, 185, 633, 68, 42, 755, 695, 703, 340, 466, 927, 97, 618, 989, 133, 128, 434, 972, 294, 708, 976, 199, 490, 739, 204, 314, 288, 257, 97, 974, 496, 404, 777, 623, 319, 880, 442, 440, 489, 675, 274, 203, 108, 587, 497, 57, 600, 595, 920, 431, 250, 92, 768, 132, 208, 277, 59, 20, 921, 171, 508, 823, 262, 496, 216, 154, 761, 990, 220, 529, 233, 291, 691, 711, 604, 440, 49, 16, 790, 674, 579, 351, 163, 340, 229, 780, 932, 266, 396, 941, 559, 591, 998, 797, 580, 811, 713, 225, 857, 772, 162, 425, 188, 551, 598, 608, 647, 874, 881, 103, 922, 566, 115, 243, 199, 600, 294, 385, 411, 93, 578, 566, 31, 119, 787, 875, 814, 439, 854, 861, 313, 10, 298, 479, 542, 431, 441, 289, 528, 923, 820, 781, 92, 833, 706, 890, 629, 56, 458, 444, 725, 400, 902, 277, 902, 959, 242, 232, 130, 715, 117, 272, 327, 584, 671, 117, 367, 221, 128, 875, 275, 275, 526, 969, 727, 189, 704, 472, 738, 103, 863, 371, 48, 958, 892, 108, 222, 401, 930, 547, 485, 402, 943, 370, 173, 812, 645, 635, 627, 462, 805, 587, 147, 862, 745, 940, 859, 913, 529, 663, 737, 557, 481, 711, 713, 240, 271, 862, 256, 24, 553, 411, 945, 425, 400, 977, 922, 384, 124, 487, 640, 775, 569, 433, 333, 19, 71, 410, 628, 21, 546, 930, 819, 433, 24, 175, 69, 159, 446, 165, 397, 443, 312, 746, 331, 492, 413, 484, 731, 395, 632, 163, 756, 520, 818, 254, 708, 717, 6, 777, 368, 807, 828, 723, 170, 767, 513, 147, 649, 682, 216, 975, 979, 106, 742, 852, 155, 971, 842, 655, 129, 77, 363, 110, 110, 607, 559, 423, 492, 123, 6, 406, 721, 228, 911, 669, 460, 203, 920, 421, 922, 252, 443, 184, 63, 719, 404, 618, 141, 845, 601, 412, 959, 793, 553, 33, 978, 530, 810, 546, 446, 875, 263, 327, 633, 219, 883, 962, 462, 921, 32, 492, 98, 228, 146, 58, 248, 36, 36, 727, 964, 458, 591, 335, 395, 46, 985, 457, 992, 395, 376, 307, 583, 807, 193, 520, 716, 193, 528, 724, 929, 46, 527, 506, 509, 117, 549, 632, 896, 45, 708, 418, 839, 324, 593, 728, 991, 595, 985, 714, 821, 964, 403, 721, 626, 707, 394, 391, 176, 992, 878, 422, 82, 926, 422, 233, 323, 509, 82, 623, 569, 527, 394, 806, 16, 82, 718, 954, 576, 752, 574, 345, 781, 725, 298, 809, 563, 972, 78, 552, 916, 579, 102, 844, 325, 227, 521, 552, 929, 429, 561, 615, 330, 306, 608, 643, 126, 148, 223, 79, 988, 632, 490, 481, 572, 857, 584, 390, 824, 56, 189, 160, 533, 491, 545, 912, 619, 555, 460, 337, 841, 89, 628, 23, 333, 235, 881, 381, 123, 761, 133, 790, 59, 970, 179, 740, 448, 694, 938, 168, 534, 853, 604, 860, 996, 838, 693, 168, 567, 207, 625, 161, 913, 212, 222, 396, 203, 639, 648, 9, 909, 868, 297, 834, 934, 457, 634, 594, 657, 32, 218, 80, 820, 476, 643, 537, 375, 896, 228, 100, 934, 391, 360, 450, 3, 581, 843, 150, 679, 819, 935, 957, 789, 669, 367, 470, 688, 87, 364, 593, 643, 585, 58, 198, 324, 867, 611, 49, 96, 503, 866, 686, 464, 281, 113, 99, 749, 121, 264, 17, 196, 412, 934, 796, 184, 159, 351, 825, 624, 671, 72, 907, 313, 551, 140, 317, 805, 128, 497, 931, 674, 424, 827, 268, 444, 637, 879, 457, 411, 526, 794, 878, 803, 234, 763, 346, 232, 461, 220, 66, 547, 18, 47, 559, 230, 500, 28, 947, 486, 992, 333, 725, 629, 434, 69, 54, 328, 129, 700, 216, 911, 0, 977, 701, 412, 504, 650, 616, 939, 189, 364, 301, 248, 267, 110, 948, 455, 241, 94, 182, 952, 622, 235, 963, 243, 591, 710, 302, 64, 987, 214, 799, 523, 749, 9, 659, 659, 990, 401, 86, 509, 99, 805, 938, 631, 896, 687, 58, 87, 734, 845, 789, 262, 413, 674, 514, 936, 603, 403, 585, 372, 414, 654, 900, 940, 871, 784, 807, 925, 720, 637, 252, 946, 813, 109, 251, 761, 357, 821, 208, 456, 908, 301, 872, 915, 145, 420, 938, 982, 677, 977, 31, 932, 392, 181, 793, 469, 650, 834, 577, 827, 493, 212, 639, 687, 668, 34, 682, 562, 368, 490, 860, 598, 370, 106, 241, 508, 859, 316, 390, 839, 328, 61, 234, 407, 221, 250, 160, 49, 456, 290, 553, 175, 972, 293, 695, 378, 262, 872, 822, 133, 35, 584, 33, 112, 948, 259, 963, 868, 377, 233, 787, 327, 702, 227, 499, 52, 906, 691, 825, 904, 822, 994, 427, 939, 758, 154, 147, 227, 796, 410, 74, 720, 417, 209, 319, 415, 700, 419, 339, 639, 561, 371, 823, 208, 271, 778, 870, 240, 513, 870, 521, 500, 848, 474, 394, 186, 899, 371, 698, 238, 91, 465, 328, 680, 392, 729, 543, 54, 291, 592, 756, 842, 181, 647, 286, 499, 728, 269, 479, 739, 174, 145, 382, 367, 683, 883, 729, 292, 387, 706, 489, 686, 836, 44, 824, 602, 503, 888, 473, 630, 213, 705, 662, 709, 569, 846, 675, 213, 286, 198, 423, 288, 323, 787, 839, 491, 392, 84, 727, 731, 933, 112, 4, 917, 747, 359, 983, 707, 948, 239, 100, 504, 899, 523, 317, 119, 802, 912, 828, 557, 273, 60, 86, 941, 196, 754, 597, 924, 957, 486, 320, 421, 239, 162, 913, 254, 205, 106, 561, 469, 719, 602, 484, 566, 120, 702, 722, 716, 310, 957, 285, 683, 649, 983, 193, 665, 876, 526, 424, 745, 35, 817, 996, 15, 809, 461, 269, 337, 449, 740, 450, 176, 649, 956, 709, 17, 722, 118, 484, 730, 157, 897, 341, 791, 330, 72, 0, 94, 796, 724, 29, 712, 673, 638, 971, 853, 500, 165, 656, 680, 853, 827, 51, 624, 198, 66, 645, 252, 469, 650, 608, 662, 169, 589, 263, 311, 956, 471, 660, 790, 812, 7, 122, 407}

    {685, 415, 432, 53, 340, 416, 420, 919, 488, 331, 747, 517, 993, 183, 693, 475, 849, 455, 316, 682, 898, 5, 242, 803, 541, 735, 627, 251, 436, 472, 438, 554, 916, 550, 778, 320, 361, 606, 909, 519, 74, 968, 373, 783, 704, 154, 536, 567, 194, 283, 960, 522, 879, 428, 837, 146, 26, 5, 568, 564, 360, 282, 770, 638, 421, 442, 658, 812, 801, 895, 692, 229, 230, 966, 283, 981, 50, 962, 864, 306, 187, 951, 158, 759, 703, 728, 743, 124, 741, 869, 565, 588, 244, 954, 626, 139, 663, 287, 575, 155, 565, 223, 588, 305, 998, 732, 187, 642, 383, 8, 25, 609, 222, 656, 187, 902, 815, 826, 71, 697, 864, 757, 453, 884, 542, 470, 317, 382, 831, 783, 726, 877, 372, 522, 865, 246, 961, 979, 40, 688, 279, 814, 200, 143, 668, 85, 918, 296, 765, 535, 574, 297, 890, 592, 437, 804, 545, 531, 850, 856, 467, 480, 840, 44, 742, 782, 606, 211, 535, 180, 775, 452, 642, 138, 856, 406, 468, 401, 512, 467, 973, 858, 365, 572, 748, 765, 107, 281, 115, 348, 195, 858, 39, 261, 653, 743, 999, 915, 247, 810, 295, 752, 652, 183, 989, 583, 387, 735, 313, 155, 641, 589, 454, 936, 48, 840, 22, 543, 681, 28, 375, 286, 798, 299, 102, 832, 792, 681, 391, 558, 750, 408, 905, 353, 952, 589, 23, 662, 369, 177, 554, 755, 756, 209, 962, 118, 258, 320, 191, 757, 359, 43, 771, 338, 37, 405, 776, 41, 541, 965, 309, 347, 943, 829, 604, 538, 918, 613, 556, 882, 365, 590, 170, 34, 393, 993, 646, 718, 966, 816, 720, 63, 346, 942, 677, 196, 481, 759, 850, 571, 664, 39, 310, 736, 277, 762, 210, 459, 276, 994, 783, 508, 707, 158, 373, 571, 684, 876, 261, 572, 27, 105, 531, 960, 916, 323, 623, 515, 883, 18, 525, 229, 475, 771, 557, 866, 596, 30, 201, 937, 661, 588, 986, 339, 142, 644, 613, 265, 219, 476, 980, 502, 415, 586, 336, 299, 161, 771, 701, 358, 280, 464, 933, 851, 609, 851, 973, 463, 698, 210, 770, 439, 22, 118, 502, 690, 885, 116, 976, 80, 369, 995, 837, 455, 846, 984, 482, 949, 83, 795, 468, 308, 724, 257, 271, 131, 950, 381, 474, 748, 85, 179, 522, 84, 622, 616, 47, 523, 676, 744, 570, 753, 398, 829, 445, 731, 513, 435, 764, 428, 136, 95, 841, 886, 260, 680, 437, 298, 179, 435, 993, 797, 332, 480, 582, 205, 183, 854, 923, 364, 432, 201, 362, 81, 70, 67, 440, 903, 206, 904, 689, 276, 156, 718, 788, 75, 825, 548, 205, 167, 249, 283, 467, 495, 849, 295, 894, 448, 408, 454, 144, 270, 362, 476, 483, 488, 512, 30, 383, 132, 253, 214, 447, 676, 564, 494, 304, 754, 76, 92, 678, 329, 780, 274, 532, 981, 12, 648, 575, 661, 664, 808, 270, 447, 236, 307, 991, 90, 514, 326, 284, 260, 969, 979, 402, 519, 185, 666, 253, 172, 105, 596, 799, 349, 919, 651, 237, 799, 568, 826, 811, 405, 765, 399, 226, 158, 418, 477, 644, 192, 832, 454, 552, 605, 23, 620, 884, 536, 949, 517, 770, 885, 631, 605, 966, 802, 268, 558, 890, 668, 10, 284, 166, 261, 342, 501, 760, 366, 477, 152, 347, 453, 214, 88, 226, 192, 599, 416, 419, 858, 816, 360, 61, 982, 596, 851, 217, 167, 109, 27, 353, 753, 1, 801, 142, 741, 279, 166, 59, 130, 946, 318, 29, 670, 685, 363, 125, 755, 385, 907, 884, 153, 431, 544, 910, 815, 987, 998, 1, 266, 356, 726, 910, 773, 914, 173, 65, 29, 710, 525, 388, 357, 245, 445, 585, 285, 436, 172, 562, 294, 449, 534, 759, 185, 57, 343, 45, 378, 950, 997, 917, 726, 652, 502, 814, 785, 637, 512, 621, 831, 901, 694, 238, 751, 855, 570, 305, 305, 888, 699, 798, 384, 848, 372, 931, 741, 416, 525, 489, 705, 468, 144, 43, 873, 498, 626, 670, 41, 11, 414, 863, 357, 974, 635, 665, 102, 111, 506, 816, 928, 91, 201, 209, 581, 304, 76, 255, 967, 40, 393, 419, 532, 131, 961, 887, 122, 808, 953, 734, 93, 299, 191, 613, 78, 399, 63, 451, 127, 97, 775, 665, 602, 776, 794, 568, 501, 713, 137, 750, 652, 10, 98, 900, 516, 62, 760, 315, 964, 345, 186, 38, 230, 994, 470, 304, 955, 349, 986, 951, 845, 819, 195, 901, 968, 278, 386, 67, 607, 14, 510, 334, 125, 817, 332, 535, 926, 44, 789, 580, 388, 667, 929, 161, 197, 605, 200, 779, 315, 779, 77, 855, 12, 908, 64, 334, 764, 611, 38, 143, 943, 778, 669, 30, 435, 560, 282, 723, 673, 973, 293, 244, 2, 894, 960, 567, 148, 60, 612, 689, 510, 917, 381, 672, 865, 247, 358, 834, 167, 265, 873, 13, 786, 483, 510, 280, 84, 951, 356, 366, 614, 690, 397, 549, 832, 379, 345, 101, 980, 788, 854, 754, 740, 984, 363, 536, 483, 494, 532, 487, 96, 835, 620, 763, 308, 348, 303, 640, 344, 658, 852, 923, 899, 995, 256, 594, 558, 164, 6, 631, 918, 733, 349, 646, 144, 516, 818, 215, 748, 316, 75, 350, 439, 378, 114, 315, 738, 893, 505, 944, 562, 871, 852, 4, 108, 130, 190, 679, 403, 134, 712, 40, 3, 258, 581, 660, 586, 215, 529, 570, 326, 114, 667, 514, 882, 107, 830, 387, 380, 104, 65, 895, 517, 661, 644, 407, 163, 574, 471, 150, 736, 882, 389, 924, 903, 915, 303, 670, 109, 856, 695, 980, 459, 694, 354, 548, 111, 140, 342, 786, 769, 282, 855, 162, 732, 249, 307, 171, 399, 388, 586, 60, 402, 413, 285, 751, 113, 889, 409, 366, 370, 905, 627, 498, 617, 533, 880, 53, 150, 813, 359, 217, 482, 436, 237, 747, 355, 838, 824, 539, 849, 88, 869, 842, 393, 355, 38, 698, 737, 607, 129, 590, 137, 8, 296, 255, 172, 156, 123, 424, 47, 270, 612, 950, 11, 43, 81, 71, 39, 542, 606, 87, 463, 188, 344, 703, 279, 116, 336, 732, 769, 361, 709, 533, 554, 539, 124, 785, 540, 895, 863, 26, 11, 550, 763, 952, 290, 712, 65, 107, 236, 120, 51, 337, 751, 580, 967, 886, 471, 390, 697, 100, 871, 453, 57, 782, 909, 458, 178, 885, 667, 318, 380, 654, 382, 125, 310, 13, 621, 653, 36, 744, 116, 430, 418, 26, 22, 374, 75, 224, 73, 870, 169, 148, 538, 350, 758, 62, 560, 822, 314, 681, 296, 332, 420, 912, 715, 275, 811, 343, 619, 710, 62, 81, 380, 903, 278, 1, 379, 190, 235, 276, 672, 111, 818, 988, 599, 174, 642, 251, 289, 944, 809, 136, 88, 633, 409, 20, 284, 341, 287, 971, 365, 609, 835, 685, 981, 941, 346, 850, 837, 354, 714, 876, 478, 465, 571, 211, 250, 690, 138, 961, 540, 266, 342, 965, 515, 953, 881, 104, 369, 697, 495, 68, 45, 717, 240, 197, 886, 478, 374, 493, 719, 373, 560, 237, 735, 601, 178, 21, 519, 485, 654, 689, 939, 999, 730, 219, 658, 524, 864, 900, 136, 70, 889, 782, 651, 215, 318, 465, 945, 441, 181, 206, 356, 717, 829, 247, 297, 946, 617, 319, 83, 353, 893, 417, 383, 437, 813, 611, 450, 792, 397, 919, 835, 545, 524, 245, 70, 177, 549, 772, 656, 4, 300, 246, 688, 766, 325, 696, 74, 869, 997, 195, 968, 12, 488, 534, 322, 891, 135, 202, 427, 265, 590, 495, 599, 617, 389, 50, 7, 157, 274, 206, 143, 848, 933, 101, 873, 792, 2, 769, 253, 37, 887, 452, 291, 207, 515, 684, 516, 944, 31, 620, 940, 267, 736, 800, 800, 479, 90, 583, 280, 177, 91, 987, 224, 836, 663, 308, 815, 910, 537, 180, 991, 984, 13, 447, 577, 77, 556, 86, 907, 692, 268, 802, 475, 539, 173, 153, 417, 891, 505, 51, 898, 653, 877, 506, 478, 579, 452, 146, 879, 199, 152, 645, 953, 794, 16, 999, 967, 358, 149, 361, 696, 666, 226, 844, 629, 974, 866, 664, 156, 937, 105, 947, 7, 772, 278, 309, 540, 131, 151, 785, 255, 496, 409, 618, 898, 309, 612, 636, 949, 428, 597, 926, 733, 480, 135, 429, 730, 684, 541, 273, 795, 98, 494, 760, 264, 901, 41, 762, 840, 504, 723, 786, 56, 217, 398, 482, 622, 432, 186, 245, 27, 750, 336, 149, 997, 753, 914, 139, 338, 442, 788, 630, 151, 564, 5, 33, 25, 678, 766, 166, 867, 142, 385, 705, 37, 982, 986, 362, 14, 597, 846, 699, 893, 806, 231, 947, 696, 194, 806, 405, 137, 648, 246, 477, 398, 389, 339, 355, 520, 743, 889, 498, 704, 236, 965, 795, 379, 801, 518, 768, 779, 716, 139, 757, 210, 565, 429, 438, 112, 192, 14, 945, 752, 178, 329, 887, 287, 746, 767, 969, 625, 672, 996, 138, 438, 766, 180}

    Returns: {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1 }

  113. 1000

    {468, 232, 766, 470, 178, 506, 469, 162, 392, 730, 740, 512, 886, 144, 361, 59, 806, 223, 850, 416, 429, 318, 616, 863, 463, 21, 487, 369, 330, 545, 457, 53, 194, 413, 930, 793, 948, 300, 460, 129, 379, 886, 681, 256, 530, 93, 167, 398, 86, 552, 860, 613, 808, 268, 711, 638, 672, 524, 305, 431, 778, 525, 274, 650, 187, 445, 240, 400, 521, 857, 426, 516, 11, 979, 47, 675, 300, 570, 219, 537, 185, 2, 954, 812, 772, 779, 805, 52, 660, 397, 672, 129, 913, 464, 658, 933, 867, 107, 751, 954, 538, 126, 971, 156, 337, 283, 758, 437, 794, 112, 790, 411, 674, 827, 703, 286, 277, 449, 596, 269, 787, 382, 780, 508, 141, 579, 24, 484, 659, 917, 538, 234, 464, 381, 218, 640, 217, 346, 333, 733, 357, 843, 367, 749, 973, 21, 776, 527, 548, 96, 451, 270, 134, 181, 269, 366, 97, 97, 360, 80, 23, 806, 359, 835, 306, 152, 848, 484, 265, 643, 702, 304, 226, 697, 382, 100, 855, 56, 218, 0, 794, 238, 689, 341, 425, 195, 816, 636, 258, 451, 865, 385, 792, 387, 605, 72, 415, 200, 867, 769, 446, 151, 402, 178, 937, 770, 218, 670, 62, 847, 435, 116, 840, 115, 152, 488, 115, 12, 850, 67, 907, 217, 203, 124, 63, 604, 535, 659, 342, 858, 980, 878, 578, 63, 334, 781, 773, 173, 355, 916, 153, 865, 962, 427, 681, 812, 27, 57, 246, 135, 344, 153, 446, 74, 898, 803, 679, 242, 909, 853, 740, 572, 589, 184, 659, 670, 946, 933, 878, 72, 471, 316, 82, 458, 95, 470, 948, 59, 985, 254, 725, 759, 785, 800, 611, 251, 826, 907, 475, 12, 892, 61, 554, 61, 584, 315, 497, 395, 265, 213, 873, 361, 338, 273, 234, 698, 731, 856, 675, 622, 365, 632, 866, 262, 530, 668, 343, 527, 210, 455, 183, 856, 945, 691, 513, 772, 341, 58, 703, 843, 3, 173, 516, 206, 864, 988, 730, 409, 122, 451, 793, 439, 211, 660, 456, 839, 462, 593, 732, 470, 24, 708, 518, 66, 106, 565, 838, 612, 432, 246, 37, 150, 887, 623, 350, 989, 195, 635, 687, 241, 733, 431, 284, 647, 25, 359, 133, 748, 609, 294, 122, 199, 905, 428, 343, 478, 153, 811, 572, 854, 994, 358, 520, 12, 476, 138, 59, 520, 250, 560, 227, 311, 577, 964, 789, 502, 652, 110, 885, 490, 979, 49, 158, 648, 362, 875, 272, 107, 824, 715, 971, 35, 138, 579, 193, 100, 830, 809, 160, 235, 566, 890, 426, 231, 508, 692, 957, 513, 148, 678, 828, 882, 505, 650, 166, 620, 959, 507, 258, 101, 199, 351, 768, 880, 221, 734, 801, 858, 875, 662, 547, 255, 674, 139, 391, 996, 245, 418, 667, 971, 429, 283, 243, 187, 193, 551, 501, 80, 143, 572, 938, 732, 243, 999, 305, 586, 50, 931, 582, 215, 176, 517, 23, 919, 517, 552, 553, 511, 901, 876, 499, 8, 563, 970, 863, 543, 570, 724, 758, 633, 385, 9, 841, 450, 406, 593, 616, 579, 816, 678, 36, 196, 340, 877, 829, 827, 82, 552, 750, 70, 929, 537, 333, 934, 796, 494, 723, 676, 363, 582, 95, 154, 350, 793, 196, 81, 131, 440, 903, 645, 521, 698, 188, 869, 752, 67, 232, 563, 86, 29, 859, 930, 238, 277, 150, 720, 167, 631, 957, 714, 184, 482, 512, 697, 656, 587, 801, 943, 768, 684, 178, 371, 623, 444, 499, 73, 461, 165, 597, 700, 536, 163, 317, 26, 975, 360, 50, 48, 430, 871, 776, 744, 908, 559, 115, 578, 744, 137, 193, 843, 10, 723, 751, 407, 652, 728, 654, 619, 191, 19, 923, 125, 219, 573, 643, 419, 474, 827, 573, 980, 961, 879, 874, 551, 868, 624, 110, 904, 448, 149, 722, 866, 457, 507, 42, 839, 163, 151, 194, 39, 285, 239, 472, 635, 460, 540, 937, 406, 778, 253, 856, 679, 996, 358, 565, 698, 493, 567, 597, 403, 503, 302, 413, 560, 891, 20, 36, 463, 779, 498, 902, 539, 500, 873, 229, 906, 625, 381, 121, 429, 570, 569, 62, 370, 800, 509, 345, 152, 634, 299, 215, 449, 883, 721, 183, 162, 892, 611, 946, 401, 350, 729, 900, 498, 777, 531, 5, 559, 720, 660, 241, 364, 590, 691, 518, 561, 681, 755, 993, 58, 524, 361, 913, 714, 418, 422, 985, 157, 108, 469, 535, 367, 901, 857, 379, 976, 424, 235, 87, 544, 705, 713, 109, 336, 632, 546, 2, 424, 422, 657, 636, 182, 938, 198, 448, 232, 873, 95, 682, 514, 370, 141, 786, 457, 403, 675, 526, 617, 773, 357, 680, 671, 320, 438, 246, 569, 624, 710, 588, 373, 412, 114, 617, 512, 14, 48, 808, 362, 879, 411, 348, 328, 455, 237, 38, 231, 39, 458, 530, 978, 229, 439, 871, 686, 640, 685, 473, 677, 151, 375, 219, 757, 26, 11, 114, 576, 274, 449, 356, 452, 129, 106, 965, 829, 355, 111, 634, 672, 372, 68, 546, 239, 476, 981, 145, 690, 964, 121, 45, 443, 100, 686, 518, 777, 853, 316, 133, 516, 578, 900, 159, 545, 330, 945, 860, 296, 742, 633, 143, 986, 111, 878, 892, 844, 544, 221, 210, 627, 27, 795, 469, 830, 477, 790, 385, 995, 521, 891, 24, 803, 216, 935, 126, 760, 964, 844, 104, 430, 939, 494, 124, 256, 132, 294, 779, 38, 405, 191, 717, 181, 554, 32, 718, 553, 244, 444, 339, 857, 747, 633, 819, 885, 180, 908, 229, 496, 938, 650, 247, 320, 11, 284, 968, 405, 559, 166, 162, 241, 414, 754, 260, 917, 771, 140, 813, 242, 226, 372, 647, 111, 101, 300, 348, 475, 302, 409, 465, 459, 513, 496, 855, 94, 496, 127, 35, 744, 195, 548, 847, 625, 61, 434, 205, 562, 508, 220, 161, 93, 627, 802, 331, 422, 499, 358, 803, 736, 368, 370, 722, 766, 746, 149, 478, 179, 729, 335, 962, 224, 33, 589, 212, 75, 225, 406, 959, 713, 724, 227, 845, 181, 816, 586, 646, 789, 376, 837, 718, 734, 503, 42, 79, 798, 105, 209, 679, 661, 729, 9, 400, 560, 72, 735, 57, 936, 483, 853, 348, 898, 359, 728, 434, 66, 975, 134, 265, 988, 970, 996, 846, 409, 795, 883, 233, 715, 711, 652, 285, 272, 284, 231, 865, 616, 487, 101, 132, 149, 456, 343, 785, 296, 682, 748, 874, 131, 921, 38, 270, 322, 811, 302, 861, 627, 639, 415, 251, 352, 330, 800, 237, 830, 607, 386, 143, 165, 784, 726, 805, 819, 357, 757, 485, 452, 888, 433, 757, 209, 386, 225, 260, 202, 876, 684, 685, 33, 106, 254, 371, 563, 599, 582, 537, 795, 147, 986, 0, 20, 731, 458, 664, 475, 643, 527, 874, 781, 584, 664, 754, 460, 928, 124, 934, 160, 245, 213, 208, 752, 989, 705, 717, 704, 595, 356, 553, 431, 174, 351, 15, 68, 928, 507, 977, 304, 599, 824, 540, 520, 813, 197, 727, 127, 399, 636, 918, 526, 568, 586, 609, 519, 194, 548, 828, 32, 753, 176, 768, 656, 802, 567, 167, 640, 150, 173, 49, 18, 37, 294, 569, 985, 909, 794, 924, 337, 558, 532, 663, 374, 166, 605, 66, 279, 51, 714, 847, 980, 646, 216, 434, 180, 21, 368, 909, 509, 515, 912, 882, 94, 176, 287, 783, 587, 42, 377, 838, 345, 677, 593, 999, 683, 798, 540, 622, 386, 123, 848, 946, 313, 435, 389, 845, 312, 916, 413, 298, 859, 617, 876, 859, 16, 46, 260, 839, 40, 128, 36, 138, 365, 419, 133, 777, 380, 259, 742, 901, 82, 110, 52, 661, 476, 657, 183, 420, 163, 597, 159, 568, 333, 809, 623, 69, 772, 574, 299, 225, 274, 365, 2, 634, 477, 355, 954, 961, 509, 362, 1, 189, 898, 993, 687, 809, 691, 364, 161, 96, 254, 322, 316, 105, 172, 325, 916, 618, 191, 785, 210, 344, 881, 71, 345, 107, 267, 33, 620, 514, 313, 682, 16, 0, 213, 613, 928, 311, 747, 340, 907, 655, 197, 858, 296, 320, 727, 820, 383, 383, 789, 724, 418, 663, 96, 3, 145, 753, 581, 65, 29, 580, 52, 313, 761, 234, 866, 433, 256, 523, 587, 655, 473, 950, 896, 93, 668, 543, 788, 310, 155, 223, 481, 930, 344, 824, 25, 398, 658, 902, 845, 220, 198, 53, 244, 963, 371, 622, 705, 961, 368, 145, 564, 526, 394, 45, 67, 798, 478, 619, 610, 35, 704, 286, 759, 646, 968, 838, 609, 291, 641, 871, 328, 728, 834, 689, 671, 844, 505, 334, 440, 310, 673, 5, 262, 373, 766, 245, 835, 900, 993, 311, 70, 797, 105, 656, 179, 420, 50, 384, 760, 216, 505, 179, 339, 638, 94, 918, 380, 78, 98, 205, 398, 641, 53, 439, 20, 159, 551, 491, 63, 748, 947, 755, 122, 588, 733, 917, 97, 399, 531, 731, 494, 123, 511, 196, 414, 533, 125, 73, 889, 262, 812, 524, 720, 197, 108}

    {619, 169, 65, 243, 273, 314, 662, 791, 658, 317, 324, 820, 394, 408, 78, 121, 208, 536, 43, 326, 956, 134, 915, 741, 19, 817, 561, 420, 997, 295, 381, 832, 423, 15, 238, 564, 442, 984, 147, 604, 493, 230, 308, 606, 888, 926, 666, 925, 84, 5, 155, 995, 709, 891, 327, 536, 289, 905, 249, 81, 782, 117, 904, 123, 690, 455, 701, 336, 778, 306, 7, 441, 557, 851, 198, 279, 483, 927, 30, 644, 918, 899, 276, 670, 831, 175, 654, 804, 99, 762, 54, 56, 497, 673, 408, 796, 769, 833, 421, 283, 71, 648, 846, 353, 240, 276, 846, 542, 177, 171, 388, 935, 990, 326, 854, 130, 542, 791, 215, 247, 751, 338, 351, 485, 834, 136, 739, 445, 607, 571, 949, 236, 436, 750, 221, 550, 412, 920, 171, 759, 910, 366, 502, 214, 230, 248, 303, 307, 591, 91, 727, 598, 764, 376, 291, 870, 832, 595, 189, 482, 441, 577, 44, 556, 899, 883, 78, 177, 810, 367, 713, 395, 688, 644, 693, 600, 868, 448, 523, 384, 774, 707, 577, 967, 739, 791, 608, 933, 188, 288, 956, 736, 872, 192, 958, 774, 738, 894, 783, 102, 994, 467, 190, 825, 823, 653, 22, 41, 941, 868, 461, 814, 972, 813, 83, 982, 870, 352, 977, 701, 206, 14, 949, 836, 693, 286, 349, 831, 549, 775, 71, 735, 510, 338, 332, 252, 324, 767, 762, 631, 978, 534, 841, 556, 519, 417, 550, 378, 735, 600, 266, 114, 626, 651, 861, 736, 737, 825, 712, 967, 869, 762, 763, 309, 281, 417, 309, 502, 666, 271, 664, 204, 37, 974, 175, 135, 575, 997, 934, 953, 45, 390, 369, 854, 378, 539, 927, 389, 700, 287, 383, 251, 18, 19, 665, 620, 435, 466, 186, 683, 885, 585, 349, 119, 128, 503, 421, 6, 951, 301, 942, 10, 1, 380, 687, 765, 826, 79, 639, 271, 104, 360, 756, 943, 712, 369, 629, 7, 825, 86, 826, 391, 467, 170, 669, 139, 201, 90, 628, 786, 315, 339, 674, 923, 488, 589, 207, 638, 977, 140, 425, 441, 301, 404, 177, 98, 942, 479, 77, 862, 450, 28, 962, 721, 654, 185, 590, 903, 746, 820, 387, 453, 960, 190, 116, 189, 41, 322, 890, 277, 546, 89, 60, 655, 937, 851, 592, 401, 261, 242, 706, 924, 87, 802, 444, 222, 233, 347, 4, 566, 308, 872, 328, 76, 169, 113, 332, 676, 207, 103, 955, 547, 696, 88, 583, 951, 630, 667, 884, 47, 752, 956, 136, 402, 852, 135, 248, 334, 375, 889, 495, 614, 392, 598, 699, 555, 931, 596, 319, 393, 298, 206, 275, 142, 346, 158, 437, 432, 147, 312, 65, 407, 641, 80, 301, 236, 352, 128, 81, 278, 941, 257, 726, 49, 249, 401, 491, 897, 575, 615, 264, 490, 298, 823, 34, 269, 142, 992, 893, 543, 940, 981, 55, 164, 761, 580, 549, 642, 565, 712, 998, 973, 13, 760, 230, 472, 148, 719, 7, 154, 842, 911, 799, 207, 292, 603, 443, 120, 500, 833, 710, 442, 417, 989, 605, 447, 487, 222, 54, 329, 558, 76, 240, 758, 914, 416, 770, 890, 925, 912, 423, 228, 697, 335, 414, 585, 396, 815, 747, 98, 282, 275, 303, 373, 763, 184, 906, 936, 755, 305, 782, 506, 630, 324, 822, 340, 276, 236, 966, 666, 471, 465, 268, 533, 363, 325, 862, 958, 642, 202, 453, 738, 842, 112, 257, 388, 31, 329, 852, 253, 504, 761, 393, 695, 718, 590, 405, 594, 612, 979, 849, 970, 201, 342, 987, 987, 936, 595, 877, 174, 649, 423, 837, 447, 366, 31, 941, 263, 75, 84, 22, 480, 170, 611, 814, 834, 649, 450, 535, 293, 940, 266, 427, 585, 113, 618, 716, 740, 263, 884, 378, 391, 192, 289, 990, 211, 815, 987, 604, 290, 960, 872, 4, 489, 969, 532, 947, 157, 62, 387, 471, 699, 252, 592, 630, 399, 443, 353, 28, 68, 904, 906, 811, 833, 896, 749, 775, 76, 303, 462, 214, 855, 415, 657, 465, 492, 30, 293, 282, 172, 325, 730, 615, 716, 743, 737, 889, 250, 528, 534, 187, 4, 547, 741, 504, 58, 295, 984, 454, 77, 810, 994, 83, 807, 155, 706, 402, 79, 279, 895, 612, 950, 119, 466, 594, 92, 541, 610, 739, 699, 842, 253, 446, 678, 10, 694, 997, 950, 244, 144, 346, 18, 486, 295, 603, 915, 335, 704, 1, 711, 972, 40, 576, 396, 775, 130, 797, 797, 688, 396, 87, 130, 695, 545, 523, 117, 544, 864, 694, 495, 818, 141, 923, 46, 702, 323, 474, 354, 805, 485, 384, 489, 606, 92, 474, 453, 972, 157, 428, 625, 270, 438, 438, 953, 29, 92, 745, 601, 228, 564, 297, 321, 467, 651, 932, 354, 331, 749, 645, 204, 533, 621, 581, 56, 288, 680, 390, 602, 486, 321, 912, 69, 870, 764, 280, 881, 377, 922, 708, 205, 266, 999, 377, 510, 978, 426, 44, 73, 249, 89, 237, 484, 955, 281, 397, 863, 8, 291, 721, 102, 525, 99, 695, 204, 51, 823, 515, 233, 710, 3, 828, 47, 632, 926, 629, 981, 804, 23, 801, 504, 428, 168, 519, 425, 982, 223, 952, 924, 522, 481, 719, 290, 190, 743, 306, 17, 220, 103, 792, 822, 91, 337, 319, 315, 952, 661, 267, 707, 756, 952, 932, 850, 88, 525, 763, 375, 456, 822, 665, 848, 919, 288, 771, 542, 354, 642, 497, 693, 555, 591, 137, 91, 765, 319, 893, 75, 896, 899, 267, 9, 725, 947, 911, 168, 70, 897, 514, 969, 127, 953, 31, 172, 600, 746, 849, 146, 626, 765, 40, 982, 732, 161, 893, 968, 174, 119, 347, 393, 222, 574, 228, 495, 126, 851, 211, 881, 310, 629, 784, 603, 745, 224, 397, 289, 986, 988, 626, 208, 990, 669, 539, 628, 894, 983, 239, 639, 571, 921, 490, 287, 942, 561, 74, 575, 819, 742, 983, 574, 395, 602, 913, 118, 700, 599, 592, 464, 804, 32, 715, 944, 817, 34, 943, 958, 648, 976, 782, 528, 317, 689, 247, 723, 472, 103, 621, 400, 651, 799, 314, 501, 57, 235, 364, 920, 258, 967, 903, 667, 202, 984, 445, 118, 407, 26, 83, 683, 437, 498, 6, 182, 117, 156, 44, 374, 596, 929, 716, 926, 430, 685, 877, 483, 528, 46, 278, 116, 297, 737, 722, 694, 998, 680, 598, 171, 676, 862, 618, 690, 914, 821, 479, 738, 39, 188, 594, 957, 915, 880, 921, 726, 960, 323, 637, 992, 201, 557, 308, 273, 976, 212, 281, 665, 771, 895, 186, 745, 479, 601, 669, 692, 99, 602, 486, 810, 154, 146, 347, 372, 935, 168, 275, 102, 331, 374, 774, 886, 645, 493, 410, 922, 312, 615, 131, 998, 719, 902, 882, 89, 932, 571, 796, 780, 255, 614, 939, 297, 488, 272, 214, 628, 637, 200, 974, 613, 591, 500, 468, 226, 164, 13, 832, 767, 477, 309, 966, 307, 992, 769, 583, 77, 411, 861, 454, 203, 60, 939, 966, 529, 786, 54, 60, 113, 653, 840, 170, 480, 541, 227, 139, 806, 140, 327, 506, 481, 109, 192, 557, 532, 118, 27, 120, 356, 929, 573, 185, 88, 750, 436, 186, 581, 948, 817, 125, 944, 156, 764, 920, 631, 353, 875, 454, 908, 624, 538, 781, 14, 919, 51, 701, 707, 433, 408, 567, 743, 787, 327, 264, 510, 684, 790, 148, 529, 90, 837, 991, 849, 692, 341, 864, 146, 22, 584, 501, 263, 951, 814, 888, 568, 463, 588, 404, 880, 55, 412, 13, 164, 217, 432, 686, 43, 944, 818, 379, 556, 259, 808, 104, 887, 165, 203, 647, 725, 392, 653, 132, 887, 459, 852, 566, 754, 607, 462, 776, 326, 787, 644, 64, 807, 991, 914, 292, 489, 329, 975, 90, 580, 410, 969, 897, 169, 307, 144, 314, 280, 6, 466, 815, 461, 332, 807, 963, 955, 224, 973, 482, 43, 963, 304, 945, 663, 860, 840, 829, 637, 835, 709, 85, 336, 442, 28, 318, 696, 940, 788, 649, 182, 741, 995, 459, 753, 108, 120, 212, 421, 416, 440, 799, 447, 671, 606, 668, 136, 259, 323, 363, 261, 404, 662, 927, 180, 583, 271, 974, 290, 480, 41, 25, 879, 734, 550, 784, 931, 17, 158, 869, 549, 635, 677, 895, 74, 261, 64, 268, 419, 610, 264, 983, 558, 949, 64, 250, 576, 492, 293, 673, 318, 282, 522, 867, 767, 17, 688, 780, 562, 410, 388, 382, 517, 601, 248, 910, 965, 770, 821, 534, 708, 702, 255, 541, 55, 709, 614, 608, 34, 84, 376, 16, 299, 621, 394, 160, 717, 788, 529, 562, 436, 252, 884, 696, 491, 199, 30, 703, 522, 280, 894, 910, 783, 390, 911, 831, 473, 511, 836, 285, 555, 8, 69, 821, 278, 468, 85, 554, 922, 200, 531, 109, 175, 991, 756, 773, 608, 452, 349, 15, 403, 321, 836, 112, 257, 965, 48, 905, 925, 389, 137, 142, 292, 515, 818, 959, 427, 706, 424, 85, 841, 209, 492, 342, 792}

    Returns: {0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1 }

  114. 1000

    {469, 740, 667, 517, 703, 978, 211, 830, 361, 774, 219, 9, 965, 808, 32, 210, 671, 531, 421, 315, 2, 513, 286, 336, 848, 418, 67, 695, 991, 179, 694, 94, 553, 298, 32, 409, 659, 186, 930, 778, 160, 193, 643, 209, 714, 849, 607, 320, 745, 585, 458, 49, 485, 644, 73, 485, 997, 2, 793, 389, 600, 873, 244, 601, 390, 50, 618, 241, 110, 422, 486, 181, 78, 172, 908, 987, 448, 991, 746, 94, 352, 768, 623, 482, 965, 524, 178, 578, 283, 126, 349, 198, 845, 103, 808, 471, 706, 536, 231, 776, 110, 408, 538, 668, 181, 637, 843, 885, 794, 579, 265, 233, 708, 9, 238, 388, 542, 199, 188, 79, 169, 986, 137, 882, 686, 441, 603, 961, 500, 210, 388, 580, 623, 859, 459, 238, 279, 220, 860, 428, 406, 99, 898, 598, 603, 286, 723, 307, 311, 538, 205, 432, 185, 426, 27, 869, 1, 15, 179, 782, 754, 269, 717, 498, 187, 984, 27, 121, 963, 766, 722, 344, 884, 537, 718, 724, 593, 892, 802, 771, 710, 524, 191, 516, 201, 622, 535, 767, 702, 202, 36, 874, 488, 367, 857, 578, 45, 448, 702, 452, 93, 135, 629, 228, 134, 929, 564, 822, 547, 899, 953, 387, 608, 573, 82, 988, 259, 493, 100, 788, 660, 477, 557, 545, 340, 7, 984, 770, 401, 562, 950, 507, 182, 845, 186, 113, 480, 980, 144, 31, 825, 797, 432, 837, 52, 60, 484, 494, 212, 33, 247, 290, 943, 748, 489, 377, 44, 462, 243, 362, 29, 100, 460, 763, 976, 536, 263, 637, 253, 274, 501, 760, 655, 398, 577, 245, 891, 360, 433, 979, 964, 926, 557, 697, 136, 823, 703, 366, 957, 57, 230, 830, 602, 296, 873, 559, 223, 256, 100, 71, 627, 357, 882, 633, 447, 998, 143, 198, 653, 597, 718, 800, 800, 997, 87, 239, 729, 136, 204, 144, 737, 282, 659, 877, 86, 26, 708, 784, 479, 888, 589, 101, 653, 746, 41, 496, 346, 128, 30, 226, 953, 887, 847, 146, 476, 433, 297, 607, 117, 771, 24, 200, 862, 528, 173, 443, 879, 566, 727, 154, 921, 732, 57, 467, 444, 998, 956, 774, 538, 747, 157, 806, 577, 971, 59, 629, 211, 585, 769, 165, 192, 484, 411, 6, 215, 844, 943, 532, 167, 170, 562, 501, 826, 839, 807, 465, 826, 186, 371, 497, 975, 654, 417, 773, 11, 580, 772, 532, 829, 298, 620, 705, 271, 59, 63, 66, 871, 914, 712, 555, 799, 591, 633, 318, 716, 283, 391, 630, 198, 998, 162, 126, 668, 955, 115, 232, 462, 529, 483, 567, 724, 444, 496, 553, 137, 728, 856, 758, 880, 806, 677, 197, 757, 264, 632, 290, 811, 481, 562, 766, 856, 972, 693, 207, 596, 515, 36, 202, 897, 569, 222, 31, 391, 985, 188, 13, 891, 125, 396, 188, 939, 368, 9, 383, 993, 665, 255, 971, 84, 107, 46, 346, 478, 486, 848, 858, 685, 153, 602, 314, 991, 103, 167, 147, 369, 655, 815, 408, 818, 82, 308, 530, 1, 477, 705, 142, 38, 961, 796, 999, 40, 109, 686, 113, 857, 3, 219, 760, 110, 579, 428, 21, 628, 231, 2, 612, 436, 99, 474, 400, 357, 528, 783, 583, 757, 277, 674, 927, 997, 341, 804, 396, 622, 101, 422, 551, 609, 264, 311, 393, 415, 591, 68, 851, 685, 119, 646, 817, 833, 232, 817, 140, 588, 567, 451, 666, 858, 160, 711, 620, 844, 874, 812, 873, 347, 253, 120, 660, 493, 932, 694, 166, 465, 69, 429, 87, 195, 647, 863, 1, 872, 167, 536, 470, 21, 782, 850, 749, 46, 656, 915, 682, 817, 766, 937, 341, 190, 230, 679, 205, 11, 440, 717, 797, 34, 878, 255, 617, 884, 547, 46, 729, 135, 731, 362, 772, 107, 463, 203, 581, 82, 624, 600, 445, 236, 731, 672, 78, 962, 550, 123, 854, 923, 521, 134, 978, 665, 173, 93, 142, 845, 192, 975, 55, 271, 560, 939, 778, 599, 537, 153, 520, 601, 171, 404, 708, 304, 101, 176, 209, 395, 647, 19, 949, 421, 394, 556, 88, 117, 870, 115, 83, 745, 357, 353, 192, 915, 540, 152, 266, 486, 624, 990, 928, 586, 627, 895, 105, 812, 30, 784, 891, 258, 692, 748, 600, 176, 399, 529, 391, 353, 939, 656, 80, 467, 914, 21, 390, 116, 211, 20, 925, 68, 7, 177, 584, 715, 441, 272, 628, 434, 232, 343, 265, 731, 190, 474, 399, 490, 127, 257, 248, 132, 425, 368, 986, 789, 445, 707, 54, 921, 440, 985, 987, 239, 387, 336, 290, 686, 679, 256, 325, 820, 436, 366, 673, 38, 712, 763, 72, 17, 169, 750, 866, 344, 603, 140, 728, 306, 722, 879, 460, 257, 966, 500, 781, 476, 848, 590, 248, 385, 44, 393, 714, 798, 134, 843, 736, 369, 551, 909, 93, 762, 488, 970, 120, 398, 990, 434, 570, 267, 869, 34, 222, 225, 774, 794, 626, 297, 367, 601, 959, 226, 717, 849, 530, 193, 458, 721, 161, 189, 933, 463, 505, 378, 636, 888, 11, 734, 114, 654, 61, 52, 543, 923, 748, 245, 834, 398, 632, 159, 180, 480, 875, 166, 230, 775, 445, 429, 556, 870, 953, 545, 315, 963, 422, 435, 759, 996, 456, 361, 37, 5, 404, 725, 34, 161, 724, 574, 372, 932, 452, 213, 864, 612, 898, 674, 857, 340, 244, 895, 5, 598, 655, 822, 876, 197, 643, 651, 726, 829, 140, 540, 663, 890, 339, 628, 597, 584, 510, 827, 296, 136, 203, 812, 780, 433, 759, 674, 710, 370, 148, 669, 412, 776, 150, 271, 52, 222, 843, 474, 328, 239, 889, 696, 470, 864, 74, 809, 679, 280, 644, 878, 161, 94, 906, 381, 419, 210, 306, 705, 513, 454, 974, 385, 279, 73, 68, 531, 28, 330, 435, 961, 138, 972, 715, 153, 180, 937, 412, 265, 274, 835, 835, 697, 507, 706, 672, 324, 831, 237, 827, 166, 666, 767, 447, 751, 769, 560, 70, 976, 506, 870, 551, 22, 530, 541, 622, 707, 451, 176, 550, 363, 964, 466, 451, 315, 14, 911, 495, 480, 243, 377, 243, 905, 199, 815, 771, 770, 576, 908, 159, 950, 7, 664, 206, 223, 877, 455, 468, 490, 623, 108, 627, 602, 625, 723, 786, 401, 944, 768, 45, 55, 596, 988, 244, 787, 372, 27, 948, 750, 676, 604, 517, 185, 996, 881, 832, 829, 877, 768, 618, 840, 545, 174, 693, 850, 523, 878, 758, 490, 175, 554, 871, 880, 462, 580, 383, 718, 320, 160, 902, 318, 173, 383, 179, 145, 33, 585, 626, 343, 520, 466, 362, 98, 297, 235, 453, 702, 579, 576, 258, 886, 879, 578, 806, 325, 235, 569, 672, 263, 340, 598, 494, 282, 396, 242, 863, 773, 636, 277, 454, 636, 275, 268, 320, 114, 62, 408, 237, 236, 712, 867, 525, 959, 737, 646, 497, 811, 253, 656, 912, 145, 406, 485, 255, 334, 905, 910, 478, 99, 69, 698, 796, 840, 19, 729, 261, 444, 84, 632, 681, 937, 568, 371, 369, 664, 294, 437, 517, 286, 919, 795, 195, 120, 59, 235, 503, 263, 742, 993, 438, 599, 972, 154, 421, 336, 605, 916, 323, 810, 372, 887, 528, 626, 72, 426, 685, 389, 484, 831, 155, 400, 644, 690, 887, 267, 930, 645, 234, 441, 872, 463, 775, 759, 514, 634, 594, 694, 77, 55, 227, 516, 111, 377, 261, 182, 149, 527, 42, 885, 605, 682, 204, 798, 437, 646, 779, 949, 181, 653, 406, 918, 885, 572, 371, 157, 337, 483, 478, 692, 405, 944, 138, 872, 467, 257, 15, 125, 993, 740, 697, 495, 311, 687, 249, 880, 667, 459, 874, 929, 409, 428, 758, 447, 710, 966, 643, 44, 799, 469, 423, 690, 837, 190, 105, 415, 850, 988, 732, 449, 345, 489, 106, 692, 750, 400, 668, 607, 18, 125, 345, 295, 231, 516, 495, 506, 849, 118, 344, 40, 456, 770, 713, 500, 805, 374, 831, 209, 700, 151, 763, 798, 784, 30, 25, 950, 458, 807, 14, 732, 0, 597, 890, 56, 736, 14, 557, 466, 295, 319, 193, 88, 772, 62, 405, 775, 56, 660, 793, 629, 151, 795, 3, 194, 307, 834, 109, 835, 399, 818, 959, 683, 690, 521, 566, 815, 781, 370, 150, 388, 293, 195, 327, 387, 867, 61, 128, 716, 301, 521, 223, 762, 126, 804, 28, 661, 781, 309, 90, 119, 982, 605, 532, 131, 716, 560, 108, 334, 155, 764, 524, 117, 401, 734, 324, 932, 228, 855, 723, 130, 822, 96, 48, 476, 749, 149, 523, 264, 984, 803, 617, 306, 330, 33, 624, 341, 673, 477, 88, 882, 851, 550, 966, 164, 77, 392, 142, 620, 108, 735, 570, 505, 238, 432, 691, 505, 131, 888, 159, 45, 98, 582, 754, 736, 721, 199, 980, 214, 22, 32, 283, 207, 361, 470, 506, 370, 274, 3, 347, 329, 150, 914, 725, 116, 412, 390, 544, 164, 964, 429, 574, 889, 676, 164, 83, 118, 479, 900, 537}

    {49, 581, 335, 289, 934, 970, 168, 275, 777, 647, 97, 70, 554, 29, 721, 945, 354, 510, 663, 356, 397, 332, 234, 378, 816, 72, 828, 183, 855, 28, 300, 102, 881, 928, 300, 212, 958, 276, 322, 565, 649, 216, 69, 527, 854, 522, 473, 595, 97, 689, 534, 762, 279, 589, 744, 339, 955, 423, 992, 606, 976, 91, 327, 687, 769, 326, 894, 715, 720, 561, 650, 213, 331, 760, 471, 303, 909, 343, 6, 678, 256, 200, 534, 128, 542, 431, 539, 641, 402, 719, 380, 558, 39, 652, 288, 403, 305, 803, 442, 642, 430, 695, 96, 594, 682, 438, 472, 208, 23, 782, 381, 413, 786, 905, 496, 865, 617, 95, 43, 493, 726, 58, 417, 299, 455, 85, 907, 739, 514, 977, 509, 582, 611, 741, 162, 491, 586, 502, 511, 744, 819, 215, 177, 464, 619, 577, 907, 946, 497, 801, 280, 719, 487, 80, 316, 780, 137, 868, 382, 187, 595, 884, 348, 761, 904, 124, 262, 584, 4, 20, 419, 940, 217, 185, 973, 811, 790, 305, 375, 945, 509, 502, 995, 289, 312, 938, 952, 287, 752, 658, 861, 202, 304, 704, 51, 709, 840, 312, 123, 541, 924, 810, 24, 989, 790, 171, 367, 492, 852, 77, 925, 492, 954, 273, 66, 946, 913, 941, 162, 558, 65, 489, 487, 540, 687, 356, 332, 427, 277, 504, 700, 678, 378, 539, 172, 792, 329, 89, 568, 823, 675, 801, 38, 338, 118, 431, 730, 168, 547, 221, 613, 60, 903, 452, 904, 57, 893, 494, 498, 182, 288, 252, 425, 424, 662, 384, 906, 875, 261, 807, 777, 276, 410, 47, 670, 670, 739, 456, 960, 224, 411, 19, 662, 43, 420, 168, 360, 242, 499, 595, 481, 968, 351, 555, 546, 95, 631, 691, 561, 331, 96, 301, 728, 281, 590, 86, 744, 706, 846, 449, 681, 266, 80, 39, 791, 738, 331, 684, 76, 979, 328, 927, 765, 508, 699, 606, 386, 363, 919, 285, 941, 752, 228, 648, 611, 582, 416, 726, 280, 233, 267, 483, 921, 282, 503, 242, 773, 520, 525, 0, 827, 292, 720, 883, 616, 351, 847, 359, 983, 66, 384, 75, 392, 549, 407, 74, 898, 751, 56, 289, 568, 946, 234, 982, 670, 205, 549, 713, 962, 278, 649, 472, 649, 648, 903, 411, 215, 354, 892, 236, 103, 810, 41, 347, 291, 756, 309, 364, 424, 308, 925, 575, 321, 604, 23, 491, 403, 935, 50, 17, 213, 727, 246, 648, 240, 618, 825, 747, 395, 969, 814, 272, 191, 20, 566, 208, 968, 883, 572, 334, 252, 326, 526, 248, 218, 352, 549, 912, 698, 418, 701, 789, 519, 917, 563, 13, 147, 650, 141, 307, 951, 170, 247, 143, 587, 431, 982, 851, 855, 318, 327, 678, 973, 165, 376, 796, 977, 918, 965, 936, 814, 349, 918, 587, 593, 416, 325, 533, 301, 61, 439, 853, 395, 927, 970, 312, 738, 183, 194, 999, 819, 394, 897, 414, 934, 292, 226, 313, 443, 917, 397, 423, 895, 765, 251, 803, 930, 319, 106, 862, 563, 448, 563, 904, 700, 464, 50, 92, 360, 793, 677, 305, 756, 974, 519, 544, 174, 364, 154, 630, 473, 704, 13, 90, 504, 564, 85, 507, 741, 634, 846, 838, 254, 596, 221, 241, 124, 896, 924, 156, 95, 302, 616, 106, 809, 328, 533, 42, 508, 333, 165, 170, 518, 468, 233, 645, 858, 287, 219, 455, 127, 805, 330, 625, 757, 174, 733, 844, 740, 684, 281, 275, 637, 871, 247, 994, 513, 461, 240, 753, 268, 184, 352, 625, 133, 592, 376, 189, 548, 508, 830, 558, 410, 79, 375, 883, 111, 645, 665, 816, 251, 743, 26, 262, 635, 933, 317, 853, 18, 24, 794, 139, 116, 935, 499, 430, 144, 994, 326, 323, 909, 78, 761, 220, 866, 196, 992, 368, 552, 81, 894, 586, 175, 273, 272, 502, 786, 71, 619, 420, 722, 853, 294, 457, 639, 152, 201, 492, 178, 147, 178, 281, 132, 533, 4, 122, 145, 573, 983, 175, 479, 922, 65, 333, 906, 453, 509, 785, 252, 197, 415, 751, 680, 229, 89, 22, 661, 314, 74, 129, 152, 216, 25, 425, 75, 191, 37, 373, 258, 531, 730, 171, 552, 295, 929, 671, 788, 543, 859, 254, 355, 92, 130, 435, 541, 662, 76, 791, 896, 350, 443, 67, 742, 405, 349, 64, 35, 907, 121, 31, 133, 863, 436, 969, 105, 973, 902, 575, 84, 346, 555, 465, 652, 446, 203, 337, 875, 780, 564, 893, 322, 924, 112, 302, 342, 756, 889, 565, 955, 610, 901, 933, 249, 899, 214, 511, 866, 552, 691, 841, 58, 739, 251, 669, 141, 124, 217, 207, 158, 824, 353, 482, 745, 963, 285, 661, 709, 394, 592, 752, 410, 846, 574, 91, 212, 804, 49, 742, 734, 39, 920, 767, 163, 481, 196, 967, 650, 85, 999, 250, 270, 707, 71, 787, 8, 374, 392, 60, 356, 616, 132, 791, 957, 461, 749, 294, 363, 969, 977, 35, 814, 133, 250, 121, 317, 270, 576, 512, 594, 83, 923, 156, 854, 683, 4, 424, 169, 355, 402, 683, 948, 639, 641, 776, 359, 675, 764, 364, 916, 200, 389, 63, 638, 237, 737, 714, 227, 149, 316, 962, 62, 112, 373, 296, 310, 459, 260, 886, 419, 515, 779, 992, 847, 789, 335, 592, 442, 695, 638, 790, 919, 91, 743, 543, 375, 48, 332, 365, 65, 856, 892, 384, 765, 901, 860, 338, 527, 418, 382, 940, 217, 641, 64, 358, 610, 163, 148, 640, 681, 800, 936, 911, 284, 220, 741, 87, 366, 680, 821, 868, 813, 299, 654, 471, 177, 291, 310, 709, 942, 427, 920, 250, 224, 876, 131, 240, 642, 667, 76, 824, 569, 324, 862, 952, 943, 837, 98, 818, 0, 499, 890, 821, 358, 792, 859, 339, 922, 669, 449, 960, 285, 852, 917, 526, 903, 828, 227, 589, 666, 259, 139, 735, 129, 688, 967, 293, 572, 345, 79, 820, 920, 254, 413, 635, 606, 475, 621, 450, 778, 615, 12, 337, 886, 184, 416, 819, 546, 511, 539, 221, 204, 743, 16, 633, 802, 910, 836, 826, 836, 51, 322, 761, 981, 135, 615, 559, 608, 861, 414, 442, 196, 893, 599, 911, 498, 487, 208, 308, 986, 342, 612, 512, 8, 797, 75, 824, 556, 987, 902, 583, 292, 896, 980, 711, 689, 464, 868, 593, 931, 518, 833, 259, 861, 373, 206, 123, 92, 673, 719, 417, 587, 430, 146, 947, 97, 900, 565, 701, 720, 730, 802, 12, 755, 546, 651, 823, 51, 146, 348, 47, 995, 439, 931, 860, 529, 141, 67, 839, 951, 434, 397, 42, 35, 246, 446, 604, 956, 303, 785, 838, 90, 8, 129, 901, 792, 689, 314, 48, 783, 386, 404, 942, 958, 380, 53, 460, 960, 544, 945, 457, 439, 609, 288, 658, 138, 981, 614, 688, 971, 438, 104, 615, 512, 725, 316, 413, 249, 321, 319, 897, 515, 53, 828, 201, 333, 979, 699, 278, 437, 755, 102, 18, 23, 816, 912, 688, 571, 755, 876, 104, 985, 693, 833, 151, 158, 107, 779, 359, 613, 747, 6, 753, 696, 81, 832, 764, 864, 571, 407, 703, 115, 385, 610, 293, 894, 454, 246, 488, 981, 852, 664, 43, 16, 630, 836, 841, 640, 184, 127, 414, 915, 54, 276, 941, 440, 355, 548, 608, 657, 245, 948, 658, 468, 229, 926, 260, 834, 300, 526, 303, 358, 313, 64, 122, 916, 542, 310, 573, 591, 73, 402, 865, 684, 561, 676, 839, 733, 777, 313, 420, 989, 270, 350, 631, 109, 457, 224, 795, 16, 994, 260, 640, 376, 842, 968, 380, 329, 865, 89, 130, 583, 639, 365, 321, 799, 733, 382, 86, 809, 350, 163, 323, 922, 427, 631, 15, 675, 841, 287, 461, 571, 504, 446, 407, 10, 956, 278, 273, 677, 928, 426, 386, 187, 996, 514, 25, 813, 842, 143, 567, 663, 899, 17, 535, 947, 491, 522, 696, 805, 482, 951, 934, 472, 40, 409, 113, 821, 37, 194, 155, 738, 808, 913, 698, 936, 635, 54, 309, 735, 611, 298, 36, 266, 727, 935, 575, 41, 12, 704, 351, 523, 535, 881, 913, 926, 510, 753, 354, 942, 820, 783, 214, 10, 112, 104, 713, 813, 788, 680, 957, 785, 931, 379, 381, 29, 621, 954, 559, 172, 379, 304, 102, 711, 659, 570, 534, 967, 588, 189, 989, 158, 590, 503, 269, 657, 651, 450, 225, 867, 216, 225, 701, 787, 671, 522, 621, 111, 218, 525, 983, 746, 990, 335, 241, 475, 63, 949, 302, 652, 450, 218, 938, 801, 642, 469, 657, 122, 183, 473, 832, 5, 554, 869, 940, 910, 393, 139, 374, 838, 553, 148, 342, 284, 825, 581, 453, 754, 958, 284, 978, 114, 938, 614, 365, 269, 58, 291, 317, 588, 26, 53, 156, 519, 47, 518, 268, 119, 609, 157, 299, 842, 475, 70, 501, 180, 10, 634, 379, 975, 613, 638, 614, 947, 699, 900, 908, 619, 548, 944, 995, 262, 954, 338, 403, 81, 952, 974, 229, 348, 206}

    Returns: {1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1 }

  115. 1000

    {216, 863, 804, 813, 640, 991, 560, 451, 971, 351, 312, 367, 150, 216, 666, 533, 631, 454, 291, 730, 761, 809, 165, 428, 820, 951, 103, 844, 942, 99, 337, 771, 180, 198, 100, 73, 706, 953, 0, 511, 685, 953, 710, 924, 7, 557, 727, 316, 458, 108, 304, 578, 191, 889, 894, 280, 905, 243, 565, 65, 775, 705, 214, 420, 711, 993, 901, 31, 471, 97, 680, 172, 874, 881, 465, 196, 127, 71, 493, 124, 238, 549, 236, 327, 744, 684, 691, 191, 236, 378, 537, 932, 15, 660, 813, 8, 184, 10, 462, 347, 776, 932, 165, 321, 56, 799, 848, 468, 500, 82, 226, 644, 98, 457, 981, 228, 572, 564, 883, 740, 187, 688, 954, 743, 282, 554, 271, 542, 495, 355, 104, 644, 60, 366, 679, 357, 576, 103, 411, 441, 703, 224, 374, 338, 997, 299, 134, 785, 122, 238, 230, 455, 708, 136, 359, 994, 505, 32, 746, 743, 118, 974, 178, 305, 873, 665, 275, 557, 243, 301, 987, 548, 237, 209, 561, 12, 504, 149, 754, 596, 538, 358, 658, 675, 730, 128, 702, 688, 202, 205, 926, 545, 194, 216, 837, 646, 934, 569, 157, 859, 850, 639, 320, 48, 470, 252, 693, 890, 139, 639, 23, 335, 675, 252, 723, 39, 663, 787, 406, 633, 556, 239, 89, 755, 193, 58, 169, 867, 945, 105, 703, 269, 903, 468, 559, 122, 573, 38, 470, 229, 280, 27, 89, 615, 281, 923, 110, 76, 215, 478, 311, 559, 735, 49, 609, 823, 404, 53, 717, 854, 880, 820, 594, 798, 912, 121, 700, 958, 493, 913, 773, 277, 753, 93, 513, 729, 305, 170, 553, 652, 602, 811, 171, 62, 847, 599, 887, 831, 896, 866, 732, 271, 981, 306, 448, 163, 607, 824, 836, 206, 964, 394, 355, 662, 916, 967, 522, 940, 207, 511, 733, 581, 417, 980, 394, 736, 598, 581, 567, 636, 414, 999, 380, 353, 435, 992, 389, 716, 392, 998, 830, 995, 98, 304, 63, 896, 423, 462, 80, 319, 327, 104, 957, 107, 772, 640, 365, 746, 207, 590, 112, 718, 401, 378, 293, 620, 924, 271, 218, 229, 401, 582, 361, 755, 595, 809, 189, 365, 775, 970, 122, 976, 447, 4, 954, 512, 528, 507, 434, 502, 19, 902, 435, 296, 404, 291, 476, 510, 53, 563, 839, 523, 838, 766, 726, 886, 479, 957, 473, 439, 174, 916, 190, 226, 236, 814, 230, 178, 764, 679, 550, 880, 543, 990, 4, 521, 888, 632, 420, 214, 64, 114, 913, 989, 47, 496, 73, 741, 256, 345, 0, 244, 444, 469, 3, 947, 98, 7, 827, 512, 533, 655, 240, 223, 239, 268, 821, 42, 842, 758, 775, 581, 783, 157, 686, 969, 677, 663, 731, 555, 199, 378, 444, 275, 851, 976, 717, 631, 102, 874, 331, 903, 920, 728, 695, 555, 817, 196, 5, 5, 966, 847, 48, 981, 638, 92, 95, 577, 269, 313, 691, 834, 756, 172, 587, 881, 24, 799, 943, 130, 465, 406, 969, 686, 963, 68, 969, 256, 266, 859, 712, 458, 375, 903, 249, 1, 735, 268, 931, 729, 391, 57, 574, 442, 456, 813, 984, 866, 583, 449, 451, 718, 312, 254, 518, 295, 534, 115, 428, 988, 580, 930, 498, 112, 856, 487, 574, 829, 215, 630, 748, 650, 783, 109, 967, 184, 818, 643, 660, 836, 90, 992, 976, 973, 492, 974, 729, 630, 868, 599, 963, 300, 640, 157, 161, 998, 635, 46, 55, 726, 923, 927, 335, 200, 376, 25, 347, 212, 700, 470, 72, 411, 803, 933, 716, 24, 90, 678, 202, 345, 522, 206, 372, 624, 551, 837, 594, 343, 78, 985, 950, 452, 762, 776, 785, 25, 261, 894, 137, 557, 883, 436, 270, 472, 582, 962, 800, 2, 728, 734, 633, 475, 993, 781, 117, 585, 978, 223, 219, 344, 702, 155, 883, 647, 133, 647, 958, 655, 930, 341, 940, 917, 961, 544, 898, 35, 669, 452, 988, 152, 203, 459, 707, 695, 505, 978, 11, 47, 449, 261, 475, 591, 989, 119, 128, 529, 113, 58, 129, 392, 814, 412, 736, 727, 364, 355, 804, 71, 487, 471, 783, 816, 886, 53, 733, 99, 215, 854, 174, 804, 622, 225, 50, 453, 9, 488, 399, 538, 159, 100, 589, 912, 528, 738, 798, 127, 22, 831, 14, 433, 934, 856, 386, 592, 797, 149, 676, 808, 375, 675, 882, 232, 548, 599, 932, 1, 720, 866, 652, 959, 934, 901, 524, 587, 245, 102, 629, 993, 340, 409, 306, 654, 909, 292, 39, 548, 705, 149, 854, 332, 181, 178, 327, 315, 898, 618, 249, 614, 708, 568, 478, 445, 312, 584, 198, 865, 290, 310, 823, 824, 361, 512, 596, 293, 384, 690, 837, 506, 339, 663, 646, 483, 814, 144, 561, 398, 908, 240, 697, 955, 532, 724, 160, 942, 613, 549, 224, 382, 951, 136, 36, 609, 573, 432, 337, 64, 464, 430, 585, 706, 342, 460, 85, 338, 725, 464, 203, 150, 93, 669, 314, 676, 737, 340, 451, 203, 749, 652, 392, 838, 467, 611, 520, 444, 973, 712, 770, 572, 368, 264, 638, 224, 786, 585, 877, 469, 915, 604, 565, 680, 97, 341, 114, 570, 677, 905, 468, 380, 242, 879, 397, 563, 301, 720, 25, 129, 738, 584, 574, 244, 571, 527, 556, 377, 35, 714, 12, 183, 464, 139, 78, 939, 602, 339, 298, 950, 12, 909, 540, 309, 165, 957, 454, 350, 508, 761, 295, 743, 406, 313, 514, 641, 243, 985, 47, 45, 210, 100, 162, 950, 456, 999, 465, 732, 427, 279, 572, 247, 325, 366, 209, 815, 773, 975, 223, 454, 20, 507, 569, 21, 492, 755, 591, 130, 724, 313, 664, 430, 432, 848, 761, 973, 445, 301, 839, 598, 321, 501, 133, 453, 809, 992, 882, 282, 875, 601, 970, 910, 665, 865, 383, 125, 997, 94, 479, 491, 697, 282, 449, 529, 988, 824, 867, 332, 380, 379, 939, 600, 567, 359, 141, 765, 459, 889, 774, 498, 164, 845, 556, 170, 479, 79, 533, 69, 87, 909, 961, 334, 485, 42, 774, 892, 617, 654, 410, 550, 302, 341, 65, 488, 859, 225, 266, 815, 339, 990, 337, 15, 608, 725, 340, 11, 892, 577, 955, 532, 910, 717, 150, 510, 509, 354, 204, 55, 19, 794, 294, 534, 607, 567, 183, 843, 545, 516, 939, 633, 610, 402, 333, 51, 58, 658, 956, 14, 703, 310, 905, 746, 625, 834, 825, 410, 999, 169, 363, 876, 27, 554, 792, 418, 732, 483, 200, 696, 762, 756, 537, 458, 34, 448, 504, 514, 419, 852, 193, 869, 759, 197, 786, 668, 838, 918, 891, 27, 626, 671, 475, 502, 774, 607, 238, 117, 842, 190, 792, 765, 201, 310, 359, 955, 477, 627, 750, 587, 763, 197, 354, 194, 73, 270, 540, 604, 233, 481, 661, 856, 901, 963, 920, 322, 647, 309, 79, 589, 159, 30, 540, 83, 256, 314, 577, 617, 711, 455, 383, 205, 14, 277, 644, 571, 84, 580, 656, 480, 745, 466, 619, 63, 735, 347, 60, 161, 162, 21, 668, 227, 358, 230, 92, 427, 206, 368, 132, 714, 710, 692, 104, 213, 30, 498, 843, 466, 940, 914, 593, 5, 624, 514, 983, 520, 779, 520, 744, 954, 52, 190, 749, 267, 31, 426, 682, 619, 105, 750, 7, 959, 476, 836, 8, 620, 311, 404, 311, 810, 842, 827, 171, 788, 880, 752, 872, 990, 219, 590, 469, 718, 409, 834, 853, 850, 482, 669, 487, 251, 608, 573, 531, 942, 552, 568, 481, 452, 997, 95, 658, 123, 635, 140, 217, 323, 372, 369, 123, 930, 666, 180, 496, 39, 366, 393, 137, 16, 924, 822, 638, 269, 616, 489, 410, 172, 64, 919, 619, 60, 622, 624, 595, 733, 304, 204, 221, 418, 821, 687, 332, 699, 390, 110, 678, 523, 678, 114, 787, 846, 249, 532, 3, 453, 484, 209, 738, 537, 204, 815, 917, 691, 222, 500, 502, 96, 544, 645, 552, 958, 851, 747, 538, 233, 762, 542, 699, 183, 325, 994, 817, 70, 1, 613, 771, 433, 863, 119, 164, 174, 381, 639, 212, 627, 352, 605, 897, 877, 192, 908, 764, 244, 571, 610, 522, 171, 789, 959, 50, 908, 262, 773, 978, 128, 277, 343, 768, 391, 292, 698, 177, 79, 789, 850, 88, 874, 919, 789, 938, 617, 608, 363, 305, 753, 847, 933, 292, 744, 531, 477, 511, 295, 59, 853, 985, 695, 840, 129, 102, 656, 219, 196, 699, 364, 0, 113, 460, 535, 887, 519, 103, 252, 994, 426, 495, 4, 711, 929, 431, 935, 919, 754, 110, 439, 568, 400, 531, 91, 247, 214, 661, 297, 979, 714, 358, 605, 63, 564, 307, 788, 382, 318, 11, 961, 545, 671, 690, 504, 685, 477, 460, 435, 331, 36, 920, 591, 509, 20, 398, 200, 386, 198, 162, 756, 402, 629, 320, 241, 90, 806, 754, 323, 397, 67, 57, 67, 668, 19, 500, 750, 975, 45, 867, 645, 564, 353, 671, 898, 375, 830, 792, 753, 788, 941, 631, 218}

    {890, 87, 297, 221, 77, 916, 176, 360, 563, 517, 131, 260, 784, 807, 69, 437, 596, 278, 876, 778, 484, 600, 725, 413, 758, 922, 606, 382, 316, 333, 582, 625, 86, 415, 524, 365, 142, 515, 142, 71, 491, 829, 805, 708, 672, 272, 513, 649, 546, 660, 387, 704, 109, 62, 623, 145, 965, 185, 946, 211, 610, 649, 782, 40, 353, 154, 336, 794, 399, 473, 357, 893, 541, 864, 217, 235, 385, 259, 628, 679, 135, 616, 612, 258, 601, 787, 106, 781, 611, 551, 972, 796, 517, 938, 766, 593, 9, 194, 521, 497, 931, 534, 344, 303, 798, 106, 575, 684, 704, 982, 516, 123, 143, 720, 2, 622, 707, 147, 467, 645, 864, 17, 559, 984, 499, 422, 210, 267, 659, 250, 872, 74, 402, 794, 900, 777, 648, 433, 324, 306, 583, 237, 37, 374, 693, 159, 266, 816, 618, 126, 664, 22, 294, 818, 653, 440, 995, 833, 943, 795, 405, 506, 288, 667, 182, 258, 419, 972, 446, 348, 630, 455, 283, 840, 527, 273, 376, 52, 928, 156, 642, 965, 870, 193, 579, 740, 779, 841, 289, 808, 106, 904, 77, 411, 372, 334, 937, 983, 558, 499, 263, 175, 260, 61, 734, 115, 31, 790, 408, 377, 195, 747, 768, 841, 686, 155, 584, 56, 342, 349, 745, 740, 971, 239, 819, 367, 871, 769, 371, 263, 179, 949, 401, 590, 125, 251, 506, 246, 424, 379, 982, 855, 515, 81, 463, 694, 517, 450, 354, 87, 673, 739, 724, 921, 921, 871, 949, 179, 6, 936, 276, 737, 797, 16, 278, 793, 840, 181, 966, 135, 530, 38, 381, 926, 471, 618, 250, 519, 55, 906, 709, 21, 739, 50, 134, 61, 85, 232, 221, 641, 558, 826, 18, 956, 369, 727, 414, 131, 425, 793, 676, 812, 921, 565, 118, 369, 907, 796, 747, 429, 474, 231, 101, 483, 370, 841, 878, 439, 70, 542, 835, 163, 88, 713, 390, 383, 820, 687, 672, 723, 415, 426, 20, 18, 819, 653, 231, 947, 179, 445, 393, 154, 255, 170, 253, 254, 350, 416, 257, 503, 199, 862, 315, 333, 344, 731, 319, 478, 852, 911, 757, 662, 381, 177, 623, 120, 263, 719, 915, 283, 629, 446, 240, 35, 983, 490, 723, 81, 861, 408, 911, 293, 605, 606, 321, 101, 138, 696, 80, 68, 891, 960, 524, 595, 376, 371, 764, 968, 396, 423, 138, 405, 576, 166, 246, 560, 778, 314, 285, 673, 692, 446, 386, 666, 991, 278, 871, 970, 201, 609, 72, 680, 907, 508, 15, 682, 429, 437, 46, 825, 267, 274, 26, 526, 918, 912, 637, 450, 825, 289, 951, 145, 148, 751, 75, 482, 759, 672, 329, 936, 879, 423, 697, 448, 810, 188, 721, 173, 530, 583, 211, 655, 462, 810, 807, 276, 181, 83, 860, 893, 403, 315, 674, 767, 442, 144, 346, 8, 195, 116, 235, 388, 84, 308, 443, 979, 298, 803, 649, 570, 151, 264, 547, 541, 299, 558, 586, 141, 416, 611, 627, 907, 839, 438, 143, 515, 648, 160, 59, 78, 388, 480, 536, 968, 146, 247, 536, 75, 466, 566, 373, 28, 670, 429, 861, 894, 580, 600, 428, 550, 273, 117, 199, 284, 272, 593, 929, 17, 144, 195, 189, 613, 32, 681, 781, 148, 134, 89, 248, 234, 270, 503, 146, 41, 864, 757, 953, 490, 941, 777, 308, 322, 925, 615, 121, 616, 677, 143, 138, 43, 234, 562, 10, 91, 44, 803, 222, 261, 296, 213, 486, 440, 875, 683, 657, 72, 673, 929, 674, 642, 288, 790, 438, 94, 125, 964, 387, 858, 643, 81, 944, 121, 808, 48, 145, 770, 721, 772, 384, 371, 407, 161, 562, 626, 13, 977, 287, 653, 264, 518, 900, 799, 326, 884, 107, 896, 977, 843, 928, 786, 833, 9, 889, 225, 405, 586, 525, 770, 944, 95, 805, 286, 67, 486, 96, 923, 852, 82, 980, 447, 876, 412, 971, 641, 925, 752, 823, 441, 379, 705, 51, 407, 801, 719, 891, 543, 175, 227, 201, 745, 968, 844, 925, 977, 33, 526, 748, 320, 192, 273, 36, 153, 546, 317, 885, 667, 870, 442, 421, 163, 597, 13, 945, 555, 140, 82, 816, 737, 689, 986, 956, 918, 28, 318, 757, 895, 784, 424, 10, 324, 634, 265, 438, 603, 503, 352, 769, 351, 391, 553, 726, 3, 802, 523, 721, 579, 539, 751, 760, 167, 116, 885, 494, 614, 417, 367, 59, 544, 966, 741, 657, 771, 851, 284, 552, 41, 797, 872, 389, 636, 228, 603, 636, 107, 527, 22, 316, 910, 422, 66, 547, 356, 665, 255, 989, 566, 996, 654, 845, 231, 826, 857, 65, 879, 776, 926, 634, 868, 34, 822, 403, 202, 541, 683, 111, 77, 897, 589, 208, 914, 812, 253, 307, 413, 780, 562, 384, 463, 996, 849, 986, 518, 817, 152, 980, 634, 510, 763, 943, 68, 307, 782, 549, 494, 662, 800, 279, 148, 24, 715, 913, 250, 130, 37, 328, 848, 615, 317, 151, 34, 356, 578, 481, 422, 76, 345, 632, 628, 42, 807, 900, 887, 318, 947, 827, 457, 205, 626, 650, 877, 868, 696, 302, 704, 349, 845, 602, 722, 952, 29, 396, 430, 425, 685, 566, 802, 56, 220, 226, 173, 108, 829, 334, 670, 119, 373, 43, 173, 712, 486, 489, 45, 46, 274, 118, 664, 450, 742, 575, 928, 168, 474, 914, 884, 328, 302, 76, 142, 777, 899, 902, 184, 26, 719, 185, 370, 493, 496, 126, 456, 865, 338, 508, 888, 351, 855, 127, 890, 425, 642, 285, 323, 396, 91, 176, 97, 830, 592, 88, 693, 300, 348, 661, 246, 659, 265, 987, 51, 362, 156, 167, 482, 785, 612, 760, 861, 579, 281, 849, 217, 646, 948, 526, 812, 648, 904, 152, 706, 938, 86, 765, 395, 23, 742, 207, 728, 846, 778, 54, 141, 489, 739, 722, 598, 570, 285, 146, 111, 692, 319, 911, 681, 262, 543, 427, 116, 597, 120, 791, 766, 93, 374, 734, 132, 835, 137, 237, 529, 287, 952, 491, 586, 416, 326, 385, 715, 136, 348, 637, 360, 363, 80, 828, 43, 336, 431, 424, 421, 822, 6, 168, 109, 457, 484, 86, 326, 519, 885, 112, 683, 554, 694, 413, 275, 432, 588, 461, 547, 399, 846, 213, 844, 234, 606, 23, 604, 857, 101, 182, 904, 111, 245, 878, 331, 996, 186, 709, 621, 280, 948, 869, 588, 92, 192, 892, 935, 66, 197, 336, 833, 507, 54, 317, 945, 835, 796, 561, 936, 826, 40, 187, 927, 902, 749, 700, 488, 536, 17, 169, 187, 509, 151, 528, 895, 768, 960, 620, 922, 407, 551, 324, 860, 188, 286, 415, 447, 255, 139, 74, 74, 944, 991, 290, 505, 210, 120, 418, 443, 962, 262, 821, 473, 521, 690, 248, 741, 13, 299, 350, 698, 29, 899, 472, 389, 158, 41, 625, 485, 398, 702, 274, 806, 964, 290, 284, 241, 330, 156, 346, 800, 419, 431, 108, 769, 322, 659, 390, 975, 182, 805, 603, 682, 346, 688, 656, 707, 257, 167, 972, 124, 297, 228, 330, 893, 99, 364, 525, 461, 441, 560, 492, 684, 28, 461, 395, 40, 62, 858, 748, 186, 308, 801, 212, 709, 906, 882, 61, 436, 716, 233, 710, 208, 408, 687, 730, 995, 283, 715, 806, 576, 795, 147, 795, 26, 360, 922, 443, 330, 628, 530, 124, 303, 497, 998, 974, 948, 362, 736, 185, 862, 57, 241, 135, 650, 857, 752, 501, 349, 689, 105, 33, 888, 463, 594, 131, 329, 361, 949, 18, 643, 758, 44, 899, 328, 986, 414, 875, 474, 575, 513, 897, 881, 873, 440, 698, 472, 984, 855, 309, 54, 32, 368, 294, 681, 689, 303, 329, 395, 258, 811, 356, 780, 635, 588, 979, 614, 962, 597, 245, 987, 623, 828, 400, 362, 965, 94, 832, 831, 657, 869, 937, 357, 16, 164, 140, 621, 860, 208, 370, 651, 84, 760, 637, 394, 153, 436, 257, 578, 535, 713, 37, 33, 387, 218, 790, 147, 459, 884, 651, 501, 933, 499, 176, 772, 287, 791, 592, 253, 393, 296, 385, 288, 632, 853, 166, 694, 417, 279, 863, 701, 495, 186, 701, 168, 434, 175, 779, 915, 126, 569, 412, 437, 132, 742, 849, 759, 802, 268, 85, 927, 819, 832, 952, 30, 75, 539, 917, 189, 220, 83, 286, 553, 397, 420, 211, 873, 49, 403, 670, 70, 946, 767, 166, 158, 259, 235, 388, 935, 886, 259, 674, 701, 191, 160, 342, 906, 878, 232, 409, 69, 782, 767, 612, 946, 153, 480, 343, 188, 751, 862, 941, 291, 828, 476, 155, 535, 227, 490, 289, 158, 242, 967, 260, 49, 731, 621, 44, 52, 66, 373, 793, 335, 325, 115, 248, 180, 377, 818, 791, 421, 254, 858, 434, 400, 667, 832, 242, 220, 651, 763, 937, 485, 300, 298, 525, 801, 29, 895, 870, 251, 960, 113, 2, 722, 601, 784, 713, 497, 154, 467, 982, 229, 539, 265, 38, 780, 494, 177, 222, 96, 281, 276, 272, 931, 352, 516, 546, 133, 811, 6}

    Returns: {0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1 }

  116. 1000

    {558, 753, 638, 735, 686, 169, 542, 959, 146, 792, 277, 630, 702, 978, 720, 405, 803, 737, 534, 806, 362, 549, 963, 368, 552, 23, 445, 429, 933, 728, 693, 660, 541, 341, 96, 822, 238, 805, 347, 501, 86, 938, 31, 35, 6, 396, 780, 781, 38, 39, 649, 876, 919, 526, 860, 653, 694, 957, 693, 429, 111, 296, 651, 768, 386, 705, 954, 388, 762, 325, 90, 503, 723, 550, 496, 414, 610, 766, 982, 760, 975, 67, 380, 739, 407, 636, 964, 399, 661, 961, 168, 314, 465, 466, 829, 277, 616, 446, 808, 846, 85, 681, 158, 626, 160, 887, 835, 825, 54, 323, 700, 37, 393, 498, 731, 868, 7, 744, 151, 779, 323, 538, 968, 709, 202, 60, 872, 79, 392, 791, 814, 342, 100, 619, 552, 820, 544, 312, 483, 686, 353, 778, 357, 664, 560, 342, 474, 369, 705, 326, 173, 509, 692, 564, 441, 288, 798, 516, 670, 122, 588, 186, 859, 274, 860, 923, 935, 104, 144, 599, 492, 99, 596, 196, 546, 285, 975, 662, 620, 873, 923, 713, 715, 786, 392, 841, 677, 271, 82, 363, 223, 924, 725, 935, 672, 129, 920, 261, 25, 309, 382, 210, 653, 733, 986, 813, 955, 315, 128, 553, 883, 716, 933, 524, 650, 173, 271, 859, 362, 362, 868, 38, 616, 158, 397, 429, 566, 72, 661, 165, 22, 643, 54, 364, 195, 223, 350, 83, 114, 918, 674, 59, 339, 71, 680, 593, 263, 713, 193, 750, 484, 234, 406, 421, 510, 578, 99, 107, 750, 47, 370, 244, 294, 34, 354, 87, 656, 56, 62, 0, 149, 650, 864, 613, 531, 456, 797, 822, 59, 348, 202, 770, 479, 555, 905, 908, 894, 708, 78, 814, 861, 962, 120, 801, 91, 962, 516, 740, 158, 911, 925, 33, 230, 353, 907, 824, 183, 743, 572, 488, 590, 191, 40, 557, 546, 575, 169, 703, 512, 720, 893, 683, 700, 434, 397, 178, 492, 797, 75, 61, 532, 808, 714, 514, 178, 217, 90, 159, 358, 749, 921, 578, 217, 200, 271, 452, 849, 434, 43, 480, 831, 114, 61, 394, 793, 53, 765, 3, 575, 357, 872, 992, 815, 83, 443, 28, 962, 233, 544, 462, 899, 881, 946, 843, 19, 881, 694, 79, 749, 39, 875, 426, 743, 182, 322, 61, 374, 685, 711, 863, 640, 30, 633, 660, 16, 44, 470, 549, 295, 30, 870, 907, 134, 872, 57, 459, 358, 759, 676, 400, 325, 85, 621, 197, 737, 922, 360, 817, 681, 935, 631, 299, 622, 29, 53, 893, 558, 868, 652, 697, 899, 308, 730, 710, 685, 269, 387, 345, 800, 730, 609, 787, 798, 383, 253, 19, 214, 57, 835, 950, 447, 333, 999, 775, 528, 459, 817, 162, 518, 567, 653, 427, 331, 478, 468, 451, 552, 370, 588, 148, 902, 321, 634, 994, 204, 342, 531, 855, 499, 428, 983, 113, 951, 449, 919, 343, 543, 109, 988, 374, 311, 714, 74, 115, 391, 477, 902, 275, 847, 155, 257, 440, 160, 79, 311, 658, 453, 53, 152, 167, 129, 37, 246, 724, 718, 451, 138, 224, 954, 981, 304, 625, 144, 140, 598, 718, 820, 779, 39, 393, 103, 251, 697, 912, 398, 799, 661, 82, 93, 568, 255, 174, 849, 724, 672, 165, 15, 970, 638, 435, 743, 326, 641, 100, 917, 122, 181, 170, 578, 263, 940, 110, 951, 148, 703, 733, 947, 401, 678, 638, 664, 72, 17, 760, 792, 880, 916, 611, 430, 712, 390, 761, 392, 856, 626, 502, 138, 376, 502, 846, 584, 19, 142, 169, 550, 882, 699, 898, 916, 225, 451, 268, 151, 233, 334, 524, 745, 8, 812, 135, 834, 723, 591, 624, 315, 360, 415, 119, 197, 389, 52, 36, 887, 837, 428, 248, 667, 818, 800, 431, 587, 858, 543, 46, 642, 399, 909, 664, 619, 75, 36, 721, 752, 938, 312, 273, 87, 330, 619, 438, 256, 559, 225, 586, 659, 894, 135, 975, 645, 938, 475, 593, 773, 344, 908, 134, 921, 947, 781, 998, 884, 136, 985, 230, 361, 462, 604, 955, 778, 402, 91, 16, 687, 448, 956, 867, 857, 405, 780, 108, 963, 849, 276, 265, 280, 16, 570, 288, 867, 885, 634, 222, 432, 469, 86, 230, 458, 334, 529, 314, 818, 380, 761, 592, 811, 124, 141, 627, 408, 340, 998, 809, 349, 33, 744, 954, 725, 45, 654, 187, 378, 508, 788, 71, 767, 933, 412, 478, 811, 510, 67, 833, 490, 390, 382, 420, 282, 964, 386, 987, 861, 357, 264, 410, 654, 295, 266, 541, 161, 681, 690, 128, 242, 982, 370, 101, 352, 185, 854, 425, 951, 888, 556, 246, 109, 270, 787, 713, 21, 442, 765, 180, 268, 879, 222, 311, 253, 842, 76, 368, 17, 614, 505, 255, 794, 587, 156, 775, 287, 389, 119, 111, 482, 465, 373, 854, 161, 557, 361, 378, 594, 803, 49, 946, 376, 166, 279, 164, 106, 510, 539, 36, 476, 620, 57, 170, 32, 336, 76, 55, 773, 751, 964, 917, 37, 932, 631, 572, 15, 437, 742, 986, 31, 592, 799, 65, 607, 812, 395, 113, 724, 501, 133, 196, 365, 47, 604, 178, 177, 83, 575, 405, 473, 302, 437, 922, 250, 154, 911, 833, 985, 487, 193, 671, 694, 977, 265, 93, 415, 70, 672, 862, 730, 708, 196, 278, 475, 762, 136, 237, 614, 81, 466, 505, 896, 464, 496, 889, 12, 385, 558, 800, 30, 676, 103, 777, 896, 40, 711, 55, 446, 541, 20, 192, 642, 508, 148, 751, 946, 376, 201, 379, 294, 684, 282, 625, 904, 961, 386, 617, 159, 42, 349, 594, 788, 610, 73, 516, 45, 486, 835, 977, 448, 42, 569, 500, 35, 843, 254, 262, 626, 809, 143, 980, 88, 328, 573, 813, 241, 257, 795, 613, 918, 304, 627, 866, 162, 881, 124, 447, 943, 884, 600, 549, 523, 722, 372, 761, 893, 855, 571, 409, 900, 669, 858, 87, 654, 720, 812, 828, 463, 957, 829, 8, 992, 332, 159, 352, 60, 697, 911, 49, 489, 203, 152, 375, 4, 381, 750, 14, 645, 266, 999, 971, 372, 573, 316, 703, 471, 588, 480, 537, 762, 422, 673, 262, 170, 595, 76, 452, 367, 939, 813, 260, 865, 676, 135, 592, 562, 51, 229, 980, 983, 917, 859, 235, 763, 706, 219, 989, 114, 530, 73, 419, 180, 712, 151, 788, 90, 737, 355, 162, 269, 955, 722, 331, 28, 55, 776, 802, 233, 712, 394, 817, 803, 305, 488, 927, 698, 513, 387, 564, 108, 242, 443, 403, 487, 511, 486, 326, 75, 252, 266, 319, 22, 77, 925, 348, 707, 279, 218, 92, 85, 67, 663, 692, 406, 324, 648, 432, 367, 779, 636, 334, 22, 572, 253, 500, 611, 909, 228, 373, 501, 621, 193, 560, 372, 628, 447, 841, 204, 934, 458, 934, 219, 994, 249, 111, 484, 901, 275, 274, 806, 826, 972, 995, 804, 59, 609, 960, 562, 634, 814, 4, 952, 428, 107, 915, 339, 798, 416, 542, 977, 568, 102, 570, 924, 866, 903, 261, 544, 40, 263, 684, 358, 183, 711, 727, 569, 440, 395, 396, 239, 199, 262, 765, 234, 244, 497, 173, 389, 264, 679, 210, 200, 367, 527, 23, 522, 100, 961, 642, 138, 875, 296, 695, 973, 194, 500, 990, 996, 202, 302, 952, 296, 844, 540, 65, 139, 998, 397, 177, 751, 182, 140, 732, 873, 843, 752, 212, 445, 210, 848, 818, 931, 607, 508, 91, 347, 3, 291, 924, 610, 486, 385, 742, 10, 81, 741, 264, 60, 307, 745, 466, 677, 963, 422, 363, 20, 585, 435, 119, 179, 396, 891, 636, 709, 442, 663, 778, 832, 120, 526, 804, 692, 554, 829, 525, 414, 725, 714, 559, 468, 847, 562, 470, 704, 497, 773, 363, 755, 722, 391, 780, 687, 873, 481, 285, 695, 388, 915, 149, 832, 999, 150, 808, 456, 538, 680, 72, 861, 294, 797, 401, 898, 349, 615, 909, 35, 489, 184, 244, 735, 740, 811, 837, 806, 876, 250, 919, 252, 32, 107, 880, 201, 622, 847, 31, 212, 932, 795, 526, 766, 62, 104, 503, 456, 771, 249, 246, 674, 729, 333, 299, 815, 71, 710, 822, 490, 832, 277, 450, 775, 534, 340, 394, 251, 507, 341, 489, 278, 596, 412, 777, 793, 631, 942, 699, 328, 930, 142, 64, 25, 152, 784, 432, 928, 215, 355, 787, 651, 574, 421, 25, 52, 402, 28, 261, 235, 805, 4, 556, 427, 939, 314, 838, 952, 268, 73, 928, 183, 855, 287, 7, 660, 270, 685, 931, 784, 10, 774, 469, 384, 867, 330, 305, 956, 217, 384, 971, 129, 417, 594, 956, 504, 828, 862, 360, 802, 364, 615, 81, 109, 815, 792, 54, 710, 336, 705, 150, 176, 487, 203, 442, 315, 927, 440, 820, 700, 137, 424, 940, 584, 542, 354, 412, 901, 905, 914, 212, 574, 950, 160, 557, 250, 969, 534, 777, 583, 391, 492, 38, 436, 560, 0, 467, 834, 928, 410, 234, 616, 2, 62, 994, 465, 184, 583, 427, 907, 361}

    {416, 299, 675, 258, 343, 597, 682, 1, 462, 986, 461, 581, 997, 313, 146, 966, 421, 606, 404, 481, 807, 45, 205, 807, 139, 185, 598, 688, 5, 336, 863, 655, 679, 303, 905, 2, 495, 105, 630, 764, 426, 47, 675, 885, 411, 623, 467, 527, 689, 374, 570, 774, 228, 332, 260, 469, 470, 783, 419, 991, 627, 139, 890, 503, 947, 13, 216, 46, 272, 127, 143, 727, 637, 671, 920, 885, 41, 930, 472, 554, 624, 146, 188, 117, 290, 130, 479, 155, 209, 267, 123, 539, 292, 320, 960, 409, 810, 879, 27, 408, 127, 611, 967, 164, 422, 889, 959, 785, 305, 417, 824, 546, 476, 104, 437, 48, 738, 297, 74, 772, 707, 514, 866, 967, 576, 378, 21, 281, 484, 696, 110, 576, 78, 645, 637, 157, 715, 238, 10, 753, 319, 783, 227, 343, 674, 385, 413, 564, 706, 187, 319, 890, 283, 383, 719, 101, 609, 505, 789, 640, 739, 180, 731, 21, 94, 545, 687, 116, 595, 894, 308, 891, 774, 876, 904, 641, 34, 211, 291, 359, 565, 882, 258, 165, 522, 463, 655, 989, 567, 182, 539, 248, 755, 888, 521, 690, 80, 1, 790, 366, 581, 49, 463, 375, 327, 922, 288, 891, 377, 52, 227, 937, 760, 600, 424, 353, 356, 335, 906, 460, 471, 272, 283, 555, 618, 464, 521, 149, 903, 112, 308, 976, 662, 123, 606, 527, 701, 69, 270, 637, 658, 329, 517, 147, 473, 782, 786, 328, 603, 602, 670, 453, 789, 145, 142, 467, 43, 968, 436, 532, 632, 943, 551, 752, 106, 900, 860, 497, 194, 321, 889, 11, 295, 770, 659, 132, 213, 197, 431, 94, 749, 772, 915, 286, 535, 738, 836, 141, 245, 747, 941, 461, 944, 545, 256, 756, 345, 167, 709, 480, 987, 133, 581, 857, 804, 454, 419, 517, 906, 375, 926, 221, 298, 174, 12, 971, 845, 205, 840, 175, 220, 399, 340, 897, 547, 819, 582, 494, 235, 312, 836, 996, 753, 589, 910, 439, 927, 988, 669, 585, 682, 249, 7, 675, 316, 231, 747, 241, 878, 886, 145, 64, 515, 646, 156, 683, 98, 321, 449, 390, 652, 731, 969, 509, 105, 990, 410, 670, 790, 175, 88, 937, 769, 929, 307, 251, 256, 601, 344, 990, 316, 593, 377, 112, 612, 56, 115, 272, 445, 388, 455, 359, 488, 677, 793, 615, 6, 892, 736, 350, 556, 70, 482, 758, 236, 973, 269, 297, 224, 668, 602, 325, 993, 567, 320, 771, 461, 231, 228, 662, 698, 577, 551, 929, 550, 584, 351, 718, 274, 782, 418, 520, 144, 214, 63, 27, 189, 568, 434, 991, 949, 8, 844, 983, 113, 373, 895, 206, 704, 785, 850, 97, 168, 746, 851, 623, 828, 519, 98, 809, 131, 364, 218, 717, 665, 499, 748, 96, 215, 579, 851, 240, 740, 650, 117, 344, 548, 117, 506, 260, 785, 229, 354, 945, 531, 259, 318, 236, 651, 944, 966, 259, 327, 913, 883, 404, 528, 226, 612, 691, 768, 280, 591, 214, 563, 644, 48, 691, 754, 647, 475, 89, 537, 473, 639, 26, 871, 147, 984, 796, 513, 926, 464, 41, 605, 453, 481, 285, 913, 313, 796, 937, 221, 216, 9, 324, 784, 2, 600, 102, 413, 524, 110, 213, 884, 512, 78, 892, 972, 441, 381, 507, 613, 15, 387, 248, 738, 423, 457, 840, 984, 827, 280, 974, 767, 633, 77, 145, 3, 125, 686, 247, 530, 830, 74, 293, 665, 548, 153, 254, 883, 536, 789, 957, 995, 504, 499, 987, 247, 118, 732, 979, 796, 98, 683, 547, 310, 734, 741, 227, 871, 733, 528, 300, 191, 668, 988, 455, 696, 729, 176, 425, 384, 734, 878, 756, 185, 702, 561, 323, 540, 864, 794, 95, 324, 821, 795, 124, 290, 329, 320, 130, 179, 693, 84, 671, 206, 577, 666, 398, 880, 252, 721, 532, 515, 203, 717, 411, 848, 423, 58, 189, 763, 293, 548, 953, 338, 898, 848, 953, 912, 191, 416, 232, 181, 13, 356, 306, 930, 801, 566, 174, 602, 382, 906, 408, 96, 24, 18, 322, 6, 628, 211, 471, 574, 678, 303, 130, 95, 958, 265, 603, 580, 767, 982, 156, 317, 698, 273, 257, 776, 900, 673, 194, 782, 309, 337, 86, 190, 781, 407, 507, 758, 515, 831, 290, 219, 26, 118, 993, 923, 561, 759, 608, 658, 912, 318, 945, 341, 622, 597, 529, 267, 23, 205, 479, 819, 679, 948, 537, 175, 477, 582, 763, 366, 132, 215, 554, 116, 839, 371, 163, 953, 409, 303, 586, 413, 717, 171, 659, 940, 943, 482, 126, 604, 874, 24, 485, 553, 918, 126, 965, 716, 869, 514, 555, 821, 547, 536, 493, 845, 258, 301, 680, 68, 942, 229, 657, 77, 460, 493, 571, 317, 474, 502, 195, 941, 764, 276, 571, 519, 506, 13, 150, 97, 540, 433, 668, 807, 518, 635, 14, 167, 878, 925, 220, 192, 140, 126, 869, 766, 736, 853, 974, 589, 833, 198, 689, 498, 181, 351, 243, 5, 529, 904, 842, 874, 460, 245, 617, 121, 851, 972, 56, 656, 628, 691, 32, 991, 886, 879, 939, 596, 133, 936, 599, 535, 901, 842, 745, 892, 858, 494, 747, 335, 646, 736, 632, 936, 438, 436, 834, 827, 607, 411, 553, 121, 400, 224, 198, 666, 310, 688, 491, 511, 652, 690, 728, 400, 837, 852, 141, 84, 649, 530, 395, 958, 247, 934, 585, 916, 897, 701, 147, 869, 347, 137, 200, 605, 439, 494, 68, 430, 89, 606, 559, 695, 177, 99, 839, 863, 310, 187, 404, 346, 590, 279, 172, 498, 754, 69, 838, 744, 641, 209, 275, 154, 102, 449, 978, 443, 719, 639, 166, 9, 950, 768, 452, 993, 398, 41, 525, 783, 801, 418, 882, 732, 646, 897, 877, 870, 635, 748, 706, 506, 289, 997, 870, 407, 726, 339, 521, 136, 970, 985, 895, 80, 278, 166, 282, 663, 50, 478, 337, 942, 222, 857, 846, 791, 648, 207, 18, 284, 821, 335, 496, 890, 101, 845, 426, 365, 647, 978, 678, 617, 301, 629, 128, 523, 948, 566, 255, 287, 945, 332, 220, 682, 742, 639, 204, 936, 103, 63, 450, 932, 569, 438, 688, 306, 929, 850, 764, 418, 799, 980, 415, 746, 495, 430, 121, 886, 565, 825, 92, 754, 533, 163, 242, 420, 875, 286, 493, 632, 823, 790, 621, 902, 172, 856, 84, 284, 44, 669, 874, 601, 618, 944, 908, 66, 519, 522, 824, 88, 648, 948, 211, 483, 856, 352, 134, 190, 825, 80, 513, 1, 862, 379, 33, 184, 188, 239, 734, 973, 757, 520, 116, 976, 656, 614, 12, 618, 189, 523, 118, 852, 810, 300, 348, 231, 657, 726, 770, 966, 221, 582, 199, 365, 383, 208, 236, 208, 979, 746, 454, 302, 759, 958, 371, 949, 207, 346, 192, 27, 89, 132, 605, 237, 871, 300, 819, 164, 758, 433, 439, 298, 226, 70, 910, 726, 402, 245, 647, 603, 17, 545, 94, 289, 5, 377, 949, 468, 989, 854, 649, 317, 345, 455, 810, 209, 105, 186, 125, 112, 477, 996, 46, 598, 877, 533, 472, 595, 459, 533, 368, 9, 597, 448, 517, 238, 757, 707, 599, 68, 776, 125, 844, 816, 485, 406, 153, 903, 587, 26, 356, 723, 914, 623, 131, 369, 120, 458, 232, 827, 865, 425, 850, 435, 371, 748, 865, 331, 243, 673, 840, 995, 42, 292, 29, 624, 157, 11, 66, 666, 241, 43, 155, 190, 330, 366, 273, 579, 122, 226, 476, 232, 51, 633, 420, 665, 836, 518, 333, 509, 195, 318, 51, 591, 786, 153, 576, 719, 802, 655, 474, 769, 563, 286, 629, 417, 143, 444, 913, 920, 198, 968, 830, 322, 82, 727, 179, 577, 92, 351, 284, 20, 58, 805, 495, 741, 512, 543, 281, 163, 237, 965, 350, 161, 635, 579, 823, 830, 504, 490, 580, 292, 337, 491, 589, 213, 794, 65, 380, 446, 831, 721, 644, 702, 538, 414, 853, 313, 381, 715, 66, 401, 457, 157, 608, 586, 208, 34, 696, 283, 864, 823, 188, 355, 298, 433, 657, 716, 108, 816, 131, 306, 877, 708, 899, 95, 981, 644, 338, 969, 259, 97, 485, 583, 525, 444, 520, 756, 625, 338, 684, 254, 771, 667, 551, 757, 393, 536, 511, 329, 630, 941, 24, 563, 379, 218, 223, 981, 967, 735, 992, 172, 243, 914, 346, 960, 640, 69, 976, 14, 186, 441, 612, 115, 704, 239, 959, 137, 667, 123, 729, 816, 573, 565, 483, 535, 974, 201, 739, 580, 826, 755, 64, 689, 769, 267, 301, 608, 207, 450, 0, 58, 888, 839, 826, 590, 970, 984, 852, 772, 643, 887, 29, 176, 50, 44, 276, 997, 491, 206, 307, 327, 965, 895, 63, 304, 701, 699, 403, 240, 896, 931, 18, 106, 171, 454, 629, 11, 216, 838, 921, 472, 910, 431, 154, 620, 171, 643, 369, 926, 93, 293, 979, 423, 309, 281, 225, 444, 728, 127, 297, 240, 457, 403, 291, 50, 48, 289, 561, 841, 424, 359, 853, 601, 168, 791, 199}

    Returns: {0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 }

  117. 1000

    {647, 796, 685, 528, 300, 296, 386, 346, 291, 23, 141, 565, 14, 344, 993, 54, 425, 19, 371, 325, 892, 746, 744, 322, 997, 685, 969, 736, 887, 577, 19, 718, 606, 823, 16, 98, 96, 360, 560, 943, 21, 460, 962, 347, 946, 466, 984, 901, 680, 775, 391, 498, 508, 797, 391, 418, 783, 783, 881, 334, 404, 684, 969, 826, 109, 858, 556, 423, 313, 502, 515, 193, 262, 572, 847, 841, 584, 582, 819, 944, 374, 392, 599, 601, 330, 56, 729, 420, 890, 929, 321, 950, 659, 945, 677, 235, 115, 108, 758, 50, 376, 137, 269, 436, 682, 676, 702, 487, 549, 129, 982, 566, 259, 646, 200, 849, 314, 521, 185, 126, 8, 639, 778, 728, 721, 909, 288, 566, 298, 441, 80, 41, 433, 432, 429, 53, 132, 658, 472, 57, 672, 4, 534, 920, 80, 748, 706, 397, 813, 742, 601, 72, 616, 958, 900, 747, 601, 770, 299, 545, 281, 237, 496, 86, 771, 711, 880, 92, 208, 247, 45, 413, 300, 491, 539, 447, 82, 292, 390, 710, 572, 672, 34, 408, 236, 463, 868, 49, 282, 589, 803, 894, 943, 20, 92, 641, 49, 590, 195, 38, 365, 604, 264, 567, 299, 473, 616, 792, 791, 970, 912, 669, 145, 667, 61, 154, 147, 688, 304, 489, 308, 625, 497, 216, 774, 16, 170, 395, 50, 211, 460, 187, 542, 2, 841, 661, 681, 619, 453, 162, 198, 694, 702, 968, 996, 496, 620, 530, 301, 558, 53, 204, 887, 348, 701, 125, 113, 757, 7, 220, 888, 629, 963, 961, 691, 213, 698, 237, 163, 372, 349, 82, 713, 329, 492, 400, 356, 770, 326, 944, 921, 730, 445, 888, 989, 149, 948, 955, 182, 997, 144, 634, 247, 762, 795, 725, 578, 327, 688, 813, 380, 267, 417, 132, 351, 13, 389, 757, 300, 610, 303, 936, 357, 975, 476, 725, 707, 584, 783, 676, 692, 109, 139, 491, 656, 258, 439, 831, 539, 537, 83, 884, 625, 877, 999, 184, 203, 720, 279, 271, 82, 218, 218, 166, 784, 771, 325, 651, 489, 510, 464, 759, 341, 296, 126, 754, 119, 18, 626, 417, 427, 266, 941, 755, 455, 628, 708, 279, 337, 253, 264, 693, 402, 150, 746, 655, 875, 111, 334, 972, 612, 504, 872, 451, 484, 510, 487, 315, 302, 772, 258, 495, 186, 107, 452, 764, 115, 524, 306, 406, 673, 992, 943, 696, 728, 160, 842, 102, 146, 674, 574, 483, 29, 182, 233, 568, 45, 671, 774, 717, 25, 202, 520, 966, 256, 59, 501, 798, 319, 423, 545, 999, 228, 738, 382, 267, 394, 328, 408, 753, 823, 906, 88, 329, 952, 505, 35, 880, 619, 10, 797, 320, 457, 115, 927, 52, 56, 210, 611, 747, 631, 668, 644, 447, 64, 806, 101, 99, 485, 408, 136, 338, 891, 995, 758, 446, 885, 243, 750, 681, 951, 311, 596, 509, 663, 605, 377, 861, 365, 834, 352, 896, 371, 70, 618, 743, 252, 325, 673, 350, 519, 728, 595, 775, 395, 247, 456, 856, 322, 662, 216, 351, 362, 933, 679, 225, 146, 292, 670, 36, 623, 478, 834, 748, 84, 578, 245, 226, 315, 843, 76, 204, 724, 847, 76, 757, 593, 38, 626, 496, 250, 13, 727, 207, 855, 275, 915, 116, 952, 483, 216, 765, 328, 955, 797, 667, 55, 315, 526, 895, 346, 52, 75, 525, 210, 835, 358, 265, 484, 593, 808, 269, 571, 324, 146, 564, 404, 355, 225, 858, 818, 395, 443, 821, 43, 195, 200, 804, 214, 567, 661, 853, 489, 729, 935, 712, 798, 70, 512, 166, 855, 203, 245, 492, 84, 841, 394, 767, 557, 524, 683, 570, 690, 955, 447, 905, 921, 78, 603, 526, 45, 957, 647, 304, 303, 75, 560, 892, 748, 409, 642, 353, 883, 131, 576, 329, 491, 420, 142, 276, 545, 91, 334, 796, 878, 836, 669, 570, 800, 860, 238, 5, 608, 391, 448, 887, 521, 785, 41, 345, 564, 235, 875, 930, 335, 261, 190, 430, 302, 739, 68, 923, 163, 558, 386, 643, 731, 830, 26, 940, 892, 590, 85, 166, 326, 899, 133, 848, 654, 974, 168, 696, 113, 781, 614, 304, 772, 236, 604, 953, 288, 808, 716, 691, 509, 591, 504, 788, 424, 10, 205, 715, 979, 336, 409, 837, 219, 659, 298, 180, 414, 301, 292, 237, 579, 604, 250, 973, 631, 208, 284, 9, 976, 661, 119, 935, 942, 935, 832, 634, 366, 961, 839, 597, 908, 85, 219, 674, 26, 117, 412, 576, 502, 605, 599, 977, 376, 523, 482, 328, 873, 488, 691, 31, 546, 381, 681, 426, 894, 221, 182, 507, 122, 76, 690, 469, 488, 710, 276, 506, 502, 889, 758, 605, 829, 440, 713, 242, 714, 309, 919, 176, 950, 331, 800, 313, 392, 8, 4, 128, 161, 639, 512, 835, 554, 629, 462, 716, 634, 707, 480, 694, 802, 977, 214, 963, 692, 849, 821, 744, 432, 453, 426, 81, 644, 227, 730, 183, 744, 981, 931, 790, 184, 999, 364, 954, 144, 915, 885, 986, 337, 176, 931, 240, 433, 180, 376, 444, 718, 221, 165, 196, 602, 68, 994, 593, 396, 393, 668, 18, 15, 32, 548, 602, 102, 582, 307, 781, 754, 453, 95, 101, 597, 701, 644, 600, 346, 495, 458, 486, 374, 798, 476, 7, 234, 442, 712, 354, 215, 349, 614, 282, 407, 415, 853, 828, 331, 363, 815, 241, 15, 381, 866, 895, 154, 51, 810, 799, 350, 299, 397, 429, 225, 656, 993, 433, 964, 807, 141, 355, 306, 784, 667, 369, 327, 296, 781, 393, 9, 776, 5, 682, 183, 142, 571, 733, 692, 979, 311, 552, 227, 635, 520, 436, 456, 311, 121, 135, 169, 638, 223, 460, 137, 915, 962, 953, 498, 620, 717, 764, 902, 409, 183, 925, 235, 155, 379, 927, 975, 366, 964, 714, 109, 591, 810, 651, 112, 406, 5, 736, 266, 54, 424, 737, 967, 884, 343, 812, 963, 737, 584, 600, 580, 323, 907, 879, 404, 210, 964, 108, 62, 597, 22, 794, 13, 98, 269, 830, 98, 875, 832, 11, 189, 332, 177, 519, 338, 513, 516, 185, 131, 680, 479, 255, 979, 358, 556, 647, 997, 440, 635, 837, 804, 522, 323, 881, 547, 184, 343, 384, 242, 812, 848, 914, 574, 479, 857, 573, 137, 986, 305, 472, 826, 902, 147, 639, 472, 539, 834, 702, 784, 826, 100, 865, 679, 153, 666, 543, 679, 35, 483, 860, 898, 680, 176, 743, 656, 623, 221, 824, 253, 694, 504, 901, 14, 498, 928, 440, 571, 259, 522, 63, 595, 362, 149, 488, 877, 514, 358, 721, 27, 799, 725, 553, 285, 511, 3, 637, 402, 998, 236, 600, 186, 682, 769, 23, 105, 208, 949, 165, 677, 703, 181, 643, 1, 520, 726, 259, 806, 580, 31, 514, 196, 596, 808, 711, 263, 550, 493, 865, 363, 794, 107, 873, 131, 506, 330, 898, 930, 4, 809, 421, 83, 403, 804, 126, 776, 884, 186, 56, 752, 275, 618, 865, 822, 388, 806, 513, 836, 746, 772, 189, 356, 511, 749, 445, 129, 58, 41, 335, 132, 724, 479, 994, 468, 765, 53, 852, 68, 108, 393, 977, 577, 160, 379, 482, 525, 332, 190, 986, 24, 933, 970, 119, 636, 185, 752, 363, 20, 187, 863, 2, 401, 740, 386, 88, 232, 39, 400, 349, 835, 580, 92, 904, 573, 278, 241, 403, 769, 531, 449, 463, 641, 664, 73, 523, 510, 596, 752, 375, 331, 91, 857, 921, 36, 31, 344, 995, 666, 23, 371, 735, 351, 197, 764, 486, 946, 170, 62, 817, 111, 668, 264, 152, 819, 988, 464, 913, 140, 448, 855, 286, 578, 301, 838, 861, 35, 789, 345, 975, 365, 779, 308, 707, 759, 267, 637, 473, 486, 824, 669, 726, 228, 332, 891, 941, 857, 940, 636, 549, 151, 25, 572, 704, 136, 475, 29, 923, 55, 19, 902, 969, 18, 658, 15, 10, 227, 906, 75, 677, 906, 427, 463, 924, 812, 735, 419, 824, 988, 245, 959, 455, 422, 620, 203, 350, 587, 721, 204, 291, 226, 77, 380, 894, 55, 551, 163, 0, 22, 295, 449, 484, 143, 153, 720, 523, 420, 451, 441, 536, 288, 785, 790, 968, 588, 149, 207, 950, 948, 291, 877, 737, 985, 234, 642, 550, 511, 424, 388, 532, 710, 426, 803, 179, 500, 84, 348, 568, 831, 357, 107, 396, 909, 0, 755, 467, 207, 326, 416, 458, 487, 606, 309, 919, 688, 271, 344, 117, 336, 735, 114, 982, 58, 816, 895, 308, 414, 845, 646, 726, 778, 760, 392, 142, 973, 25, 135, 589, 542, 770, 382, 674, 116, 100, 381, 198, 994, 659, 373, 464, 739, 818, 54, 36, 129, 29, 303, 400, 240, 458, 759, 809, 619, 444, 347, 337, 83, 384, 90, 432, 406, 923, 524, 876, 12, 333, 774, 309, 837, 767, 831, 885, 663, 378, 664, 623, 569, 565, 24, 144, 738, 20, 266, 638, 891, 298, 195, 836, 121, 390, 384, 338, 419, 47, 451, 793, 576, 789, 696, 750}

    {375, 90, 145, 124, 509, 714, 352, 243, 649, 244, 998, 465, 246, 651, 896, 205, 251, 952, 791, 360, 233, 275, 965, 468, 202, 461, 602, 833, 6, 215, 118, 609, 497, 627, 177, 51, 383, 821, 745, 793, 767, 104, 557, 443, 1, 88, 773, 706, 485, 856, 956, 627, 399, 557, 843, 555, 621, 273, 340, 881, 159, 953, 911, 261, 274, 918, 811, 987, 786, 654, 960, 717, 65, 731, 976, 378, 412, 284, 829, 93, 825, 287, 481, 178, 209, 873, 833, 715, 330, 897, 723, 507, 466, 459, 123, 503, 734, 380, 924, 274, 324, 78, 336, 699, 568, 171, 481, 768, 401, 916, 978, 138, 65, 889, 655, 762, 535, 89, 103, 526, 263, 903, 610, 492, 42, 867, 547, 280, 143, 918, 377, 629, 886, 845, 958, 799, 898, 209, 295, 785, 845, 878, 666, 617, 293, 843, 648, 248, 79, 248, 493, 592, 622, 701, 431, 874, 970, 514, 52, 939, 419, 152, 801, 287, 46, 889, 353, 477, 624, 768, 256, 127, 905, 16, 951, 407, 538, 704, 553, 28, 145, 734, 653, 120, 190, 77, 755, 825, 37, 939, 592, 736, 814, 251, 505, 862, 285, 985, 411, 238, 364, 657, 554, 65, 871, 79, 615, 840, 289, 532, 474, 196, 362, 2, 290, 981, 782, 972, 972, 553, 850, 499, 830, 60, 632, 822, 671, 519, 838, 595, 410, 480, 867, 199, 879, 438, 893, 973, 33, 160, 89, 908, 402, 998, 926, 913, 684, 886, 444, 415, 220, 73, 271, 289, 222, 699, 239, 270, 611, 224, 454, 96, 111, 252, 555, 738, 718, 922, 951, 219, 168, 302, 883, 171, 230, 167, 665, 648, 353, 640, 316, 416, 223, 162, 456, 654, 383, 281, 138, 282, 40, 140, 936, 355, 172, 90, 218, 110, 862, 741, 256, 428, 897, 683, 252, 642, 141, 50, 569, 164, 61, 768, 704, 503, 528, 590, 217, 265, 214, 452, 548, 270, 814, 212, 914, 410, 678, 70, 294, 356, 583, 155, 517, 322, 446, 102, 864, 197, 361, 6, 934, 980, 893, 801, 323, 158, 361, 904, 390, 114, 122, 771, 971, 872, 125, 501, 761, 169, 139, 929, 815, 939, 178, 562, 289, 687, 42, 732, 586, 450, 273, 965, 579, 367, 321, 609, 531, 792, 340, 641, 847, 817, 932, 729, 438, 427, 439, 628, 974, 657, 516, 581, 871, 820, 171, 575, 777, 871, 229, 387, 719, 646, 165, 89, 613, 205, 786, 167, 899, 368, 678, 136, 719, 575, 533, 501, 480, 695, 645, 12, 690, 37, 609, 765, 870, 922, 869, 12, 987, 319, 686, 198, 34, 763, 369, 189, 425, 150, 140, 811, 30, 370, 928, 343, 265, 477, 273, 592, 697, 411, 113, 664, 776, 819, 967, 882, 820, 197, 158, 255, 897, 477, 229, 630, 342, 703, 660, 147, 7, 662, 594, 297, 743, 64, 473, 521, 813, 438, 405, 603, 780, 255, 366, 569, 17, 899, 293, 640, 683, 723, 374, 529, 175, 991, 339, 174, 194, 279, 263, 653, 156, 230, 811, 11, 996, 574, 838, 607, 587, 490, 916, 537, 461, 439, 254, 100, 618, 670, 357, 24, 722, 382, 614, 809, 418, 980, 779, 213, 429, 437, 206, 324, 232, 248, 731, 989, 754, 103, 534, 223, 967, 21, 106, 130, 549, 749, 352, 886, 385, 851, 459, 493, 540, 450, 277, 864, 94, 687, 546, 540, 494, 508, 513, 773, 407, 192, 778, 9, 494, 869, 387, 314, 394, 622, 110, 368, 157, 544, 106, 802, 535, 156, 345, 77, 796, 910, 698, 541, 621, 262, 854, 650, 215, 413, 705, 548, 379, 937, 503, 913, 401, 133, 852, 670, 99, 909, 173, 588, 239, 399, 240, 410, 536, 253, 794, 414, 286, 538, 893, 699, 187, 556, 598, 423, 929, 787, 161, 313, 63, 976, 649, 541, 244, 876, 283, 435, 177, 652, 242, 610, 708, 528, 367, 985, 156, 954, 984, 733, 224, 529, 318, 222, 722, 437, 211, 475, 474, 81, 756, 942, 633, 11, 450, 766, 191, 632, 431, 848, 538, 370, 931, 562, 780, 249, 148, 442, 206, 468, 996, 782, 842, 398, 896, 445, 72, 327, 518, 866, 465, 934, 947, 446, 169, 807, 723, 862, 246, 883, 316, 959, 790, 700, 612, 940, 32, 490, 575, 583, 59, 389, 888, 652, 535, 272, 742, 130, 633, 192, 250, 863, 310, 907, 230, 495, 481, 14, 354, 624, 290, 128, 858, 118, 397, 494, 0, 241, 66, 112, 581, 120, 533, 665, 40, 645, 527, 852, 122, 633, 926, 48, 118, 66, 565, 110, 693, 69, 388, 193, 850, 340, 295, 546, 99, 172, 805, 112, 724, 290, 39, 500, 280, 944, 564, 685, 515, 827, 805, 991, 859, 106, 1, 874, 305, 339, 672, 851, 244, 945, 37, 868, 956, 760, 861, 179, 478, 233, 86, 652, 926, 638, 745, 823, 856, 466, 621, 383, 763, 742, 591, 64, 97, 527, 918, 105, 44, 840, 712, 544, 732, 599, 829, 422, 61, 563, 981, 467, 254, 544, 693, 297, 181, 547, 167, 912, 983, 80, 135, 49, 305, 378, 769, 348, 342, 74, 116, 745, 622, 103, 359, 276, 793, 917, 27, 217, 499, 543, 457, 471, 209, 962, 57, 310, 396, 653, 949, 703, 525, 452, 869, 762, 229, 527, 632, 687, 154, 434, 854, 59, 105, 655, 148, 193, 124, 158, 608, 844, 469, 927, 558, 947, 749, 932, 630, 577, 434, 272, 903, 283, 434, 260, 563, 94, 594, 367, 297, 766, 421, 224, 911, 882, 612, 222, 727, 948, 529, 428, 706, 435, 910, 33, 95, 312, 518, 800, 552, 202, 676, 506, 412, 469, 628, 543, 33, 945, 990, 258, 457, 314, 992, 339, 62, 174, 698, 125, 270, 747, 172, 40, 277, 925, 17, 733, 636, 148, 239, 124, 179, 91, 846, 817, 173, 716, 422, 697, 607, 567, 846, 143, 775, 842, 617, 872, 989, 662, 442, 788, 705, 700, 958, 39, 708, 123, 152, 559, 982, 335, 807, 449, 792, 375, 385, 853, 499, 212, 38, 709, 868, 720, 901, 870, 700, 261, 904, 751, 561, 795, 272, 71, 930, 281, 922, 512, 530, 516, 312, 878, 95, 81, 104, 907, 937, 611, 448, 711, 818, 859, 753, 48, 932, 866, 151, 844, 880, 120, 312, 540, 660, 341, 435, 961, 916, 608, 851, 756, 936, 753, 201, 398, 934, 709, 79, 134, 58, 251, 555, 30, 268, 850, 321, 579, 822, 317, 3, 133, 47, 341, 814, 675, 730, 554, 594, 779, 364, 46, 175, 287, 756, 234, 164, 773, 585, 101, 566, 648, 316, 903, 405, 430, 425, 191, 490, 919, 957, 206, 946, 436, 71, 920, 500, 589, 228, 369, 43, 249, 825, 48, 471, 310, 965, 411, 900, 114, 508, 675, 551, 713, 188, 697, 153, 534, 162, 441, 995, 130, 938, 359, 213, 155, 802, 517, 766, 617, 307, 786, 467, 992, 719, 854, 178, 864, 66, 630, 134, 268, 991, 471, 505, 983, 795, 26, 956, 643, 67, 515, 72, 805, 827, 191, 399, 134, 763, 87, 552, 199, 212, 615, 582, 57, 988, 87, 286, 816, 194, 117, 87, 17, 60, 645, 96, 262, 74, 603, 211, 278, 606, 532, 478, 993, 342, 97, 3, 761, 249, 123, 689, 294, 917, 570, 900, 867, 695, 678, 966, 188, 78, 318, 462, 347, 990, 870, 560, 518, 180, 517, 285, 405, 980, 833, 949, 170, 750, 740, 658, 67, 43, 625, 94, 201, 839, 585, 333, 360, 319, 954, 616, 689, 815, 533, 226, 559, 627, 684, 960, 657, 671, 121, 788, 217, 139, 431, 760, 373, 665, 751, 280, 200, 938, 695, 387, 138, 475, 890, 44, 581, 777, 293, 368, 663, 522, 957, 161, 246, 232, 238, 274, 507, 44, 740, 283, 607, 74, 85, 780, 181, 485, 530, 905, 924, 359, 984, 307, 257, 911, 104, 151, 966, 536, 418, 974, 863, 174, 960, 461, 613, 430, 6, 673, 157, 705, 385, 990, 27, 277, 890, 787, 910, 470, 739, 563, 454, 416, 650, 361, 741, 231, 93, 531, 917, 320, 860, 476, 791, 849, 959, 199, 34, 71, 686, 615, 588, 257, 732, 97, 127, 260, 586, 294, 69, 67, 820, 231, 550, 978, 971, 751, 846, 8, 413, 284, 403, 908, 787, 660, 389, 649, 465, 844, 373, 914, 561, 497, 598, 573, 722, 21, 243, 598, 832, 73, 941, 937, 417, 541, 30, 859, 782, 175, 675, 876, 613, 268, 827, 709, 188, 157, 470, 810, 803, 370, 69, 933, 587, 159, 437, 987, 840, 583, 559, 828, 640, 650, 354, 317, 428, 150, 482, 32, 734, 874, 462, 164, 455, 635, 60, 128, 201, 551, 686, 879, 920, 220, 372, 816, 727, 260, 912, 789, 928, 93, 372, 47, 828, 454, 947, 459, 715, 631, 971, 983, 761, 46, 63, 925, 318, 942, 839, 22, 537, 398, 777, 470, 159, 882, 28, 689, 231, 317, 562, 421, 561, 28, 741, 801, 542, 377, 333, 637, 938, 168, 586, 257, 173, 42, 624, 86, 978, 968, 320, 51, 415, 194, 306, 585, 254, 127, 626, 443, 278, 474, 192}

    Returns: {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1 }

  118. 1000

    {360, 924, 623, 487, 506, 102, 733, 171, 552, 148, 641, 632, 237, 962, 553, 15, 207, 373, 569, 920, 136, 741, 905, 695, 891, 191, 804, 493, 632, 298, 412, 431, 891, 718, 125, 375, 441, 24, 901, 159, 22, 319, 257, 967, 6, 963, 164, 41, 336, 475, 779, 445, 520, 158, 720, 705, 350, 778, 385, 847, 607, 296, 484, 94, 45, 558, 866, 707, 917, 707, 985, 767, 668, 691, 577, 874, 193, 424, 694, 673, 482, 548, 814, 258, 627, 295, 35, 69, 542, 411, 244, 209, 729, 248, 650, 877, 745, 804, 949, 816, 370, 309, 615, 727, 983, 602, 224, 424, 159, 578, 56, 887, 124, 321, 118, 778, 724, 865, 563, 624, 499, 961, 52, 281, 952, 33, 161, 327, 65, 448, 569, 457, 306, 617, 183, 127, 605, 633, 281, 32, 685, 910, 695, 662, 867, 91, 998, 281, 241, 4, 20, 703, 84, 690, 674, 481, 459, 699, 981, 439, 349, 218, 725, 971, 188, 2, 789, 239, 452, 707, 251, 203, 162, 87, 250, 149, 728, 968, 339, 156, 203, 344, 785, 811, 187, 119, 340, 55, 87, 199, 358, 620, 109, 980, 6, 518, 700, 269, 930, 254, 616, 328, 770, 332, 242, 38, 40, 939, 701, 266, 986, 280, 77, 664, 257, 513, 764, 416, 793, 56, 172, 168, 440, 679, 825, 72, 674, 687, 552, 750, 233, 386, 152, 894, 653, 12, 692, 741, 239, 213, 741, 485, 629, 617, 141, 622, 266, 378, 836, 806, 839, 963, 2, 457, 158, 942, 977, 575, 175, 923, 677, 378, 962, 182, 653, 229, 773, 22, 696, 106, 996, 151, 582, 704, 851, 437, 909, 750, 858, 269, 489, 92, 159, 334, 128, 816, 468, 216, 132, 776, 63, 133, 398, 767, 200, 744, 420, 535, 295, 726, 655, 701, 736, 220, 124, 423, 976, 419, 175, 340, 368, 313, 466, 320, 29, 505, 110, 491, 733, 135, 208, 576, 862, 881, 650, 573, 941, 539, 212, 366, 192, 311, 332, 342, 545, 310, 873, 499, 371, 819, 910, 252, 941, 404, 696, 641, 812, 177, 486, 564, 942, 715, 783, 205, 785, 560, 7, 803, 698, 510, 88, 227, 631, 973, 703, 207, 134, 127, 857, 468, 852, 812, 514, 76, 437, 929, 470, 762, 979, 857, 574, 69, 75, 901, 420, 73, 838, 517, 305, 439, 798, 543, 560, 160, 907, 583, 470, 453, 127, 507, 408, 710, 972, 802, 98, 838, 791, 7, 939, 984, 846, 638, 830, 83, 876, 556, 292, 80, 621, 340, 688, 522, 909, 308, 503, 582, 414, 171, 623, 179, 84, 809, 670, 269, 116, 536, 761, 853, 699, 660, 80, 524, 868, 581, 475, 563, 301, 201, 467, 505, 499, 819, 100, 429, 286, 755, 485, 830, 382, 991, 626, 783, 932, 904, 26, 389, 633, 430, 926, 456, 323, 682, 951, 252, 439, 229, 904, 138, 443, 368, 522, 355, 88, 251, 608, 208, 595, 210, 453, 698, 216, 550, 896, 73, 492, 609, 513, 666, 100, 734, 209, 367, 739, 854, 124, 287, 692, 134, 697, 244, 752, 800, 858, 268, 25, 480, 337, 237, 347, 740, 846, 309, 693, 186, 431, 48, 551, 608, 649, 879, 476, 474, 517, 186, 203, 183, 405, 595, 640, 186, 767, 298, 551, 460, 75, 7, 740, 546, 965, 901, 206, 618, 521, 279, 934, 863, 126, 349, 210, 25, 933, 957, 353, 976, 835, 941, 14, 93, 725, 924, 957, 178, 745, 753, 590, 379, 613, 306, 83, 775, 140, 114, 646, 53, 346, 240, 486, 553, 364, 383, 898, 267, 572, 598, 617, 940, 479, 797, 850, 35, 368, 971, 671, 387, 129, 223, 885, 179, 836, 995, 528, 666, 138, 761, 372, 889, 913, 862, 962, 754, 632, 432, 768, 923, 343, 635, 509, 502, 320, 391, 839, 202, 99, 513, 126, 50, 510, 200, 637, 285, 996, 104, 862, 432, 776, 384, 212, 740, 202, 170, 122, 317, 489, 363, 937, 405, 52, 956, 797, 893, 36, 627, 787, 587, 109, 696, 399, 132, 87, 386, 494, 560, 273, 336, 301, 756, 840, 585, 477, 755, 691, 384, 969, 423, 919, 371, 469, 242, 672, 556, 548, 768, 853, 225, 770, 291, 887, 614, 307, 131, 167, 829, 488, 188, 309, 651, 291, 611, 896, 806, 116, 362, 248, 8, 775, 803, 334, 414, 346, 729, 889, 603, 536, 764, 184, 620, 31, 591, 849, 404, 920, 198, 542, 48, 41, 894, 702, 104, 857, 375, 847, 835, 4, 363, 815, 111, 206, 847, 250, 693, 695, 636, 672, 126, 973, 53, 860, 301, 598, 123, 458, 974, 541, 46, 10, 880, 599, 371, 165, 149, 841, 929, 314, 469, 251, 517, 870, 115, 48, 396, 982, 764, 971, 927, 973, 382, 592, 718, 370, 261, 480, 626, 760, 337, 362, 516, 408, 271, 647, 951, 452, 674, 594, 916, 10, 76, 461, 552, 998, 320, 358, 442, 133, 997, 324, 546, 830, 459, 306, 721, 427, 838, 107, 427, 198, 587, 197, 3, 642, 661, 218, 36, 409, 486, 239, 424, 196, 115, 760, 672, 443, 4, 507, 378, 920, 883, 916, 568, 654, 367, 575, 430, 634, 390, 599, 827, 229, 874, 342, 477, 488, 435, 959, 241, 147, 63, 147, 414, 793, 175, 221, 917, 230, 646, 780, 821, 754, 946, 307, 912, 897, 172, 287, 986, 285, 354, 200, 14, 39, 435, 82, 262, 396, 79, 383, 321, 82, 313, 724, 132, 912, 143, 86, 621, 636, 481, 205, 922, 634, 234, 600, 787, 964, 213, 742, 206, 282, 844, 274, 17, 876, 815, 484, 661, 285, 304, 162, 237, 601, 282, 413, 673, 43, 622, 153, 783, 347, 712, 351, 453, 999, 369, 130, 228, 953, 852, 434, 294, 718, 177, 41, 372, 961, 341, 189, 524, 773, 241, 548, 412, 897, 135, 55, 65, 440, 728, 877, 328, 969, 711, 96, 133, 448, 161, 460, 507, 8, 25, 10, 81, 27, 9, 885, 466, 81, 827, 238, 471, 82, 659, 152, 540, 367, 197, 187, 412, 469, 187, 949, 543, 55, 293, 254, 854, 225, 824, 624, 521, 844, 5, 515, 729, 223, 493, 848, 545, 45, 655, 317, 293, 372, 19, 110, 52, 661, 900, 228, 780, 758, 905, 833, 966, 588, 505, 478, 766, 128, 530, 582, 801, 912, 813, 456, 781, 397, 535, 78, 682, 755, 954, 39, 156, 460, 771, 515, 845, 275, 253, 112, 947, 612, 969, 312, 152, 244, 86, 43, 304, 842, 442, 192, 413, 140, 641, 417, 349, 784, 341, 982, 493, 867, 390, 242, 345, 883, 102, 563, 558, 897, 503, 542, 12, 770, 93, 434, 630, 930, 773, 948, 527, 11, 928, 69, 556, 829, 88, 924, 476, 662, 937, 432, 0, 303, 315, 701, 708, 949, 762, 597, 982, 207, 571, 842, 714, 476, 934, 506, 894, 810, 983, 791, 98, 891, 836, 825, 711, 980, 104, 827, 355, 788, 436, 980, 443, 938, 922, 947, 631, 46, 326, 934, 880, 813, 528, 111, 545, 604, 386, 579, 501, 809, 332, 221, 630, 57, 771, 208, 629, 656, 188, 161, 22, 164, 123, 24, 527, 120, 156, 972, 813, 393, 448, 457, 296, 573, 650, 354, 575, 291, 394, 503, 623, 737, 236, 98, 956, 235, 736, 944, 999, 296, 874, 940, 466, 228, 45, 808, 361, 40, 753, 670, 149, 955, 359, 491, 806, 856, 826, 117, 667, 610, 638, 417, 818, 928, 438, 724, 79, 167, 870, 30, 294, 590, 246, 588, 932, 932, 640, 851, 684, 537, 218, 24, 389, 693, 656, 267, 834, 574, 637, 605, 404, 753, 447, 535, 824, 447, 191, 655, 680, 593, 160, 880, 849, 321, 510, 68, 271, 590, 140, 381, 959, 29, 995, 983, 612, 702, 99, 329, 771, 518, 802, 947, 629, 673, 709, 715, 925, 286, 105, 536, 690, 348, 703, 580, 433, 596, 162, 903, 14, 578, 146, 809, 136, 227, 65, 615, 358, 640, 274, 818, 387, 691, 564, 146, 899, 257, 295, 464, 558, 425, 644, 997, 686, 792, 923, 978, 44, 487, 989, 12, 860, 569, 989, 34, 737, 638, 778, 262, 420, 876, 785, 942, 49, 454, 976, 388, 135, 774, 157, 471, 687, 618, 19, 808, 968, 597, 224, 77, 181, 978, 878, 651, 409, 868, 959, 995, 940, 256, 31, 365, 280, 926, 426, 366, 100, 564, 900, 277, 425, 748, 396, 573, 902, 483, 967, 624, 721, 57, 665, 328, 61, 96, 965, 131, 63, 658, 951, 944, 106, 605, 704, 630, 279, 392, 709, 811, 489, 373, 935, 849, 470, 930, 722, 38, 676, 30, 648, 599, 75, 833, 431, 530, 568, 516, 265, 821, 868, 35, 504, 18, 40, 833, 195, 714, 839, 779, 389, 164, 267, 814, 178, 898, 595, 688, 991, 593, 21, 725, 653, 339, 683, 889, 464, 248, 796, 116, 524, 546, 963, 676, 76, 902, 86, 945, 577, 851, 459, 774, 308, 872, 307, 719, 408, 562, 662, 36, 483, 425, 965, 905, 659, 223, 723, 825, 303, 968, 659, 816, 518, 939, 904, 168, 441, 754, 292, 853, 956, 860, 909}

    {331, 943, 138, 0, 118, 987, 786, 742, 278, 491, 67, 170, 236, 366, 788, 950, 665, 964, 643, 197, 359, 892, 305, 985, 705, 326, 584, 950, 315, 603, 810, 823, 227, 795, 993, 501, 801, 174, 814, 915, 180, 887, 611, 572, 151, 671, 50, 416, 222, 20, 361, 243, 341, 861, 64, 155, 869, 437, 936, 911, 821, 738, 723, 221, 180, 779, 274, 648, 719, 259, 139, 933, 500, 884, 482, 594, 538, 928, 451, 405, 687, 865, 338, 497, 990, 463, 204, 53, 374, 413, 802, 871, 101, 215, 826, 438, 458, 686, 614, 663, 881, 960, 567, 421, 549, 731, 717, 992, 438, 864, 356, 799, 415, 324, 883, 190, 190, 38, 171, 855, 103, 549, 627, 532, 709, 407, 72, 549, 555, 445, 772, 606, 988, 621, 908, 716, 600, 141, 234, 911, 39, 796, 626, 786, 583, 713, 679, 737, 214, 297, 676, 654, 561, 314, 256, 700, 685, 11, 333, 643, 145, 250, 817, 998, 992, 589, 74, 843, 492, 688, 743, 142, 74, 846, 681, 557, 895, 313, 125, 987, 245, 529, 276, 33, 201, 958, 823, 584, 27, 418, 395, 421, 935, 706, 473, 322, 403, 329, 61, 566, 619, 834, 15, 33, 561, 311, 195, 365, 946, 497, 665, 189, 537, 409, 465, 751, 532, 786, 586, 357, 411, 139, 837, 444, 578, 612, 675, 344, 936, 554, 245, 636, 831, 191, 882, 675, 832, 471, 369, 360, 54, 113, 50, 255, 870, 330, 258, 625, 428, 731, 519, 689, 550, 402, 594, 277, 892, 235, 240, 975, 598, 113, 479, 777, 219, 172, 543, 377, 997, 800, 463, 473, 708, 246, 450, 59, 90, 37, 831, 47, 181, 769, 952, 495, 91, 294, 875, 697, 591, 385, 81, 108, 456, 765, 635, 336, 646, 873, 585, 390, 380, 58, 591, 805, 18, 906, 5, 308, 751, 981, 99, 735, 789, 777, 379, 660, 289, 945, 70, 488, 60, 173, 490, 255, 957, 356, 886, 628, 219, 479, 323, 89, 11, 677, 449, 858, 496, 283, 585, 243, 512, 694, 492, 103, 403, 668, 583, 602, 943, 335, 167, 455, 421, 994, 475, 758, 154, 117, 899, 988, 888, 155, 393, 410, 550, 690, 247, 539, 660, 927, 938, 683, 618, 654, 399, 311, 91, 189, 146, 317, 686, 859, 721, 602, 300, 137, 622, 351, 183, 119, 145, 13, 882, 596, 820, 888, 79, 37, 628, 196, 232, 289, 89, 749, 62, 195, 265, 266, 289, 631, 746, 678, 757, 231, 415, 484, 519, 376, 163, 66, 960, 948, 231, 148, 580, 382, 841, 763, 261, 955, 697, 224, 749, 428, 576, 101, 78, 795, 757, 822, 114, 604, 502, 93, 276, 766, 648, 356, 23, 664, 514, 60, 381, 455, 369, 143, 879, 407, 122, 828, 139, 727, 426, 900, 743, 579, 525, 519, 752, 669, 498, 270, 914, 433, 772, 411, 899, 261, 859, 299, 153, 120, 867, 26, 795, 243, 848, 671, 601, 185, 781, 760, 153, 613, 799, 217, 192, 918, 147, 37, 580, 544, 288, 884, 254, 856, 215, 71, 561, 23, 272, 231, 0, 931, 501, 92, 330, 562, 144, 977, 27, 531, 265, 394, 66, 565, 121, 222, 606, 625, 34, 278, 533, 467, 233, 652, 217, 131, 401, 670, 667, 526, 343, 571, 455, 685, 892, 263, 83, 345, 692, 283, 716, 410, 776, 330, 166, 861, 388, 375, 303, 61, 465, 447, 533, 799, 698, 374, 174, 245, 826, 772, 16, 360, 579, 402, 299, 275, 800, 3, 178, 884, 157, 712, 823, 57, 464, 639, 347, 273, 706, 216, 260, 807, 324, 512, 824, 108, 817, 264, 613, 504, 818, 327, 761, 465, 649, 895, 423, 748, 878, 353, 931, 272, 921, 85, 566, 584, 130, 393, 363, 678, 85, 572, 121, 334, 819, 80, 715, 547, 235, 644, 299, 498, 877, 587, 275, 495, 472, 472, 458, 67, 392, 607, 936, 17, 758, 794, 165, 852, 663, 664, 948, 170, 514, 609, 792, 886, 68, 929, 634, 979, 165, 966, 335, 657, 190, 736, 193, 616, 179, 96, 735, 925, 531, 42, 807, 996, 351, 508, 502, 994, 953, 47, 287, 463, 94, 400, 350, 723, 972, 935, 608, 315, 950, 333, 886, 134, 422, 871, 277, 805, 739, 150, 259, 668, 346, 918, 95, 177, 890, 49, 541, 253, 984, 176, 418, 993, 66, 652, 768, 593, 908, 551, 276, 512, 890, 247, 260, 903, 496, 541, 446, 30, 592, 677, 95, 651, 970, 955, 128, 312, 875, 938, 734, 562, 832, 713, 238, 791, 869, 155, 168, 952, 647, 756, 468, 960, 840, 592, 16, 62, 832, 193, 54, 978, 199, 16, 844, 642, 864, 89, 986, 539, 383, 537, 684, 461, 204, 481, 722, 121, 444, 297, 157, 663, 733, 744, 255, 401, 318, 350, 732, 249, 118, 540, 557, 878, 300, 472, 319, 991, 861, 406, 794, 2, 831, 714, 444, 182, 112, 635, 645, 436, 163, 327, 699, 497, 284, 429, 544, 249, 198, 236, 215, 586, 496, 790, 232, 906, 738, 325, 822, 142, 829, 571, 316, 310, 589, 985, 435, 422, 316, 921, 151, 454, 62, 246, 589, 169, 680, 680, 232, 739, 442, 214, 352, 158, 840, 312, 726, 42, 365, 810, 508, 97, 381, 339, 290, 498, 628, 238, 689, 300, 798, 678, 775, 58, 927, 842, 525, 570, 644, 176, 914, 547, 199, 185, 154, 712, 765, 426, 700, 32, 743, 370, 667, 26, 359, 614, 78, 534, 879, 881, 705, 436, 15, 92, 557, 532, 211, 919, 762, 331, 97, 107, 974, 919, 288, 205, 566, 554, 68, 428, 604, 268, 160, 111, 554, 406, 834, 105, 433, 863, 702, 910, 211, 859, 835, 750, 610, 843, 354, 46, 204, 759, 975, 523, 925, 338, 70, 485, 263, 454, 395, 914, 105, 270, 893, 214, 8, 866, 392, 20, 559, 494, 915, 570, 565, 946, 882, 797, 509, 577, 511, 711, 141, 494, 977, 97, 746, 855, 606, 74, 742, 462, 681, 794, 194, 31, 461, 174, 427, 873, 417, 462, 521, 954, 71, 609, 574, 913, 913, 376, 759, 130, 567, 94, 856, 669, 534, 908, 666, 17, 209, 890, 528, 812, 822, 415, 113, 782, 782, 302, 329, 28, 538, 145, 219, 652, 302, 290, 5, 970, 90, 763, 911, 790, 122, 828, 752, 379, 845, 400, 967, 473, 926, 462, 534, 357, 258, 820, 150, 815, 508, 588, 568, 525, 373, 769, 529, 264, 77, 487, 467, 625, 451, 401, 129, 418, 240, 352, 643, 322, 954, 780, 263, 49, 318, 994, 380, 866, 84, 338, 520, 907, 763, 361, 684, 871, 581, 801, 384, 446, 397, 286, 837, 217, 95, 945, 811, 150, 42, 645, 220, 683, 142, 706, 123, 903, 720, 115, 765, 759, 944, 523, 247, 112, 933, 480, 314, 511, 272, 278, 553, 385, 520, 326, 682, 961, 9, 748, 619, 47, 864, 316, 788, 322, 270, 450, 898, 657, 34, 756, 225, 769, 722, 3, 538, 342, 474, 211, 885, 377, 169, 576, 730, 619, 51, 895, 717, 757, 716, 220, 751, 601, 445, 793, 611, 511, 529, 658, 586, 70, 516, 148, 213, 907, 865, 402, 530, 774, 29, 681, 56, 559, 391, 430, 981, 749, 848, 268, 343, 169, 916, 452, 292, 71, 58, 419, 917, 798, 796, 902, 746, 658, 850, 102, 249, 120, 394, 325, 728, 59, 419, 345, 202, 559, 176, 597, 527, 607, 357, 230, 992, 166, 136, 713, 446, 253, 953, 708, 51, 284, 669, 694, 252, 931, 331, 633, 477, 719, 850, 603, 855, 353, 400, 570, 490, 730, 364, 937, 450, 398, 6, 391, 845, 807, 888, 747, 526, 1, 364, 397, 163, 704, 645, 180, 298, 958, 515, 110, 649, 406, 784, 482, 181, 21, 906, 734, 500, 23, 318, 290, 13, 915, 429, 222, 805, 13, 305, 117, 28, 732, 226, 262, 1, 596, 283, 348, 125, 792, 504, 399, 616, 184, 9, 280, 304, 726, 388, 784, 854, 109, 990, 185, 656, 745, 943, 820, 21, 787, 657, 490, 302, 260, 144, 212, 310, 64, 256, 297, 119, 720, 639, 234, 989, 59, 451, 410, 18, 555, 581, 506, 362, 398, 483, 288, 509, 279, 54, 72, 103, 710, 540, 735, 194, 679, 533, 896, 600, 377, 500, 970, 376, 710, 974, 727, 441, 449, 19, 964, 129, 43, 547, 143, 872, 348, 374, 73, 282, 403, 201, 1, 689, 975, 615, 182, 323, 803, 352, 837, 44, 90, 226, 766, 271, 637, 196, 478, 144, 988, 843, 647, 804, 166, 407, 522, 395, 335, 434, 32, 440, 922, 893, 555, 264, 531, 495, 777, 990, 333, 984, 284, 817, 567, 64, 114, 565, 717, 293, 863, 979, 337, 474, 747, 987, 526, 966, 781, 731, 958, 639, 226, 259, 675, 51, 137, 808, 44, 993, 380, 872, 233, 107, 620, 173, 730, 387, 210, 184, 732, 789, 921, 999, 344, 355, 154, 60, 610, 85, 875, 738, 325, 544, 416, 642, 230, 137, 478, 101, 173, 918, 108, 841, 194, 273, 449, 523, 67, 782, 28, 869, 828, 790, 747, 744, 319, 422, 106}

    Returns: {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0 }

  119. 1000

    {163, 792, 716, 692, 508, 992, 894, 423, 675, 439, 944, 331, 992, 857, 38, 140, 475, 295, 831, 159, 184, 446, 334, 473, 190, 378, 624, 903, 687, 182, 271, 425, 142, 911, 914, 420, 884, 979, 28, 539, 338, 93, 544, 978, 994, 457, 446, 431, 818, 715, 226, 624, 322, 708, 819, 428, 332, 258, 930, 750, 165, 666, 497, 558, 422, 467, 658, 267, 18, 124, 9, 136, 278, 171, 721, 83, 545, 415, 862, 248, 997, 3, 164, 912, 114, 678, 497, 593, 277, 237, 752, 756, 238, 207, 804, 395, 853, 562, 807, 195, 224, 818, 281, 313, 124, 299, 715, 558, 729, 178, 467, 744, 743, 926, 938, 563, 388, 606, 631, 929, 141, 658, 202, 618, 542, 821, 152, 85, 458, 71, 966, 687, 271, 999, 403, 110, 845, 198, 905, 462, 147, 296, 846, 47, 327, 940, 461, 570, 13, 9, 521, 535, 11, 946, 451, 931, 281, 427, 154, 104, 974, 961, 525, 250, 13, 375, 879, 650, 321, 19, 726, 217, 984, 361, 881, 386, 514, 240, 882, 544, 746, 982, 807, 420, 577, 760, 950, 383, 943, 744, 868, 52, 348, 382, 215, 751, 153, 754, 706, 685, 937, 233, 603, 179, 991, 804, 410, 270, 85, 701, 210, 453, 757, 993, 571, 61, 144, 809, 276, 680, 829, 464, 753, 508, 606, 736, 121, 157, 405, 975, 845, 851, 870, 444, 15, 395, 415, 87, 360, 897, 766, 537, 769, 672, 61, 593, 613, 210, 604, 803, 44, 744, 993, 58, 384, 675, 321, 46, 249, 980, 805, 82, 32, 43, 1, 630, 557, 56, 972, 541, 305, 178, 614, 962, 798, 564, 418, 24, 192, 740, 822, 634, 802, 426, 582, 715, 680, 483, 864, 970, 908, 905, 724, 136, 400, 976, 508, 657, 69, 746, 184, 777, 647, 703, 879, 268, 817, 353, 705, 122, 159, 290, 437, 584, 633, 148, 290, 693, 179, 78, 285, 734, 737, 414, 390, 262, 969, 425, 194, 897, 491, 975, 176, 697, 876, 614, 981, 830, 686, 298, 971, 922, 227, 203, 834, 272, 603, 488, 837, 402, 312, 568, 84, 368, 769, 649, 122, 894, 708, 12, 119, 292, 481, 903, 838, 600, 216, 100, 325, 976, 548, 681, 672, 76, 245, 574, 228, 771, 521, 511, 874, 48, 504, 181, 271, 240, 5, 70, 602, 187, 304, 343, 525, 472, 238, 277, 130, 26, 520, 423, 460, 789, 92, 12, 447, 401, 861, 915, 666, 398, 954, 237, 204, 284, 813, 931, 651, 777, 196, 712, 781, 977, 907, 769, 98, 733, 797, 172, 306, 347, 793, 423, 602, 347, 421, 954, 641, 389, 162, 323, 798, 545, 757, 349, 858, 454, 516, 713, 819, 674, 242, 957, 635, 739, 597, 110, 378, 201, 384, 504, 203, 545, 329, 106, 403, 874, 692, 207, 838, 961, 189, 461, 436, 229, 844, 827, 80, 825, 372, 72, 180, 523, 150, 607, 640, 483, 736, 128, 276, 650, 442, 764, 381, 191, 588, 221, 189, 435, 78, 57, 604, 767, 199, 671, 971, 864, 274, 799, 512, 241, 340, 185, 67, 200, 227, 436, 351, 258, 157, 459, 826, 764, 830, 881, 222, 43, 33, 46, 708, 265, 353, 554, 737, 374, 336, 629, 964, 411, 934, 969, 710, 594, 301, 720, 259, 382, 851, 56, 562, 626, 553, 87, 539, 331, 585, 254, 634, 259, 511, 453, 418, 503, 457, 364, 756, 333, 229, 694, 883, 281, 643, 702, 659, 945, 194, 637, 660, 170, 245, 688, 342, 223, 326, 526, 98, 984, 360, 113, 404, 838, 915, 106, 551, 812, 681, 709, 636, 898, 349, 899, 743, 365, 139, 226, 776, 399, 974, 277, 262, 260, 507, 927, 521, 165, 904, 713, 783, 457, 856, 685, 875, 974, 85, 702, 515, 750, 309, 584, 938, 600, 362, 653, 959, 747, 25, 167, 877, 671, 741, 354, 747, 26, 359, 905, 123, 532, 616, 471, 826, 763, 978, 933, 670, 735, 309, 169, 836, 316, 555, 198, 135, 456, 718, 839, 506, 6, 374, 452, 447, 915, 154, 968, 74, 347, 340, 386, 60, 455, 982, 537, 859, 412, 252, 396, 678, 669, 548, 102, 325, 779, 903, 150, 27, 695, 730, 87, 481, 554, 580, 56, 985, 585, 43, 200, 893, 168, 471, 398, 595, 74, 589, 172, 813, 718, 950, 406, 920, 969, 274, 8, 372, 843, 139, 942, 76, 309, 771, 962, 647, 406, 187, 91, 493, 854, 784, 254, 204, 596, 716, 232, 960, 276, 944, 70, 939, 40, 755, 100, 260, 280, 470, 587, 316, 67, 514, 383, 667, 161, 782, 761, 343, 163, 332, 446, 61, 836, 668, 669, 327, 173, 95, 377, 607, 419, 111, 885, 435, 35, 190, 865, 90, 207, 232, 677, 280, 557, 849, 65, 54, 118, 311, 304, 370, 42, 159, 648, 780, 503, 988, 35, 516, 212, 748, 660, 482, 411, 587, 830, 89, 619, 106, 152, 738, 314, 562, 943, 619, 887, 888, 511, 591, 325, 474, 668, 643, 540, 824, 261, 367, 643, 781, 185, 375, 125, 758, 849, 907, 798, 641, 632, 421, 603, 39, 432, 822, 452, 853, 355, 110, 475, 664, 581, 122, 696, 810, 567, 287, 718, 134, 856, 483, 605, 910, 439, 30, 621, 514, 547, 280, 284, 96, 899, 658, 875, 216, 491, 12, 54, 786, 366, 648, 893, 119, 220, 283, 621, 285, 240, 445, 262, 786, 872, 621, 86, 660, 66, 815, 739, 365, 668, 168, 141, 585, 243, 833, 868, 789, 176, 248, 263, 703, 844, 427, 214, 800, 632, 720, 983, 318, 500, 916, 198, 853, 666, 47, 470, 330, 332, 831, 906, 293, 634, 971, 104, 568, 83, 194, 389, 665, 841, 535, 485, 614, 64, 836, 711, 512, 431, 121, 688, 959, 209, 171, 955, 984, 249, 272, 416, 532, 726, 265, 104, 171, 9, 27, 162, 148, 520, 950, 323, 761, 619, 513, 150, 158, 661, 714, 256, 304, 64, 450, 5, 322, 988, 569, 840, 760, 116, 639, 445, 73, 593, 485, 300, 922, 371, 383, 505, 524, 749, 973, 343, 823, 202, 628, 278, 26, 734, 983, 381, 311, 748, 283, 629, 8, 129, 490, 702, 496, 221, 459, 62, 91, 919, 962, 338, 528, 973, 819, 320, 472, 917, 33, 574, 799, 128, 800, 123, 990, 928, 551, 364, 855, 477, 850, 855, 966, 553, 335, 326, 339, 792, 101, 456, 393, 889, 257, 566, 464, 64, 711, 475, 227, 128, 350, 659, 68, 217, 800, 481, 851, 490, 987, 756, 205, 907, 339, 275, 991, 295, 473, 75, 867, 422, 357, 221, 746, 754, 990, 296, 62, 33, 963, 757, 982, 832, 49, 943, 504, 217, 567, 379, 855, 809, 865, 597, 493, 494, 278, 32, 406, 456, 596, 549, 957, 377, 912, 893, 425, 24, 111, 581, 768, 886, 964, 714, 450, 595, 678, 321, 222, 46, 298, 981, 724, 416, 733, 810, 754, 502, 378, 259, 386, 176, 13, 827, 665, 569, 948, 688, 810, 953, 86, 379, 865, 245, 173, 375, 328, 816, 842, 222, 497, 112, 58, 582, 739, 430, 868, 882, 326, 760, 755, 357, 445, 96, 377, 897, 452, 112, 468, 994, 805, 35, 796, 606, 582, 592, 906, 894, 541, 148, 535, 297, 350, 482, 75, 556, 547, 392, 926, 531, 331, 354, 173, 15, 584, 92, 801, 282, 164, 758, 607, 578, 305, 625, 314, 158, 737, 405, 509, 316, 307, 979, 200, 283, 495, 143, 911, 228, 913, 185, 488, 816, 763, 528, 369, 849, 624, 496, 839, 809, 618, 941, 507, 572, 402, 396, 136, 488, 415, 712, 135, 360, 741, 636, 362, 543, 792, 414, 541, 226, 472, 752, 385, 297, 168, 361, 376, 803, 81, 599, 359, 979, 354, 92, 507, 1, 411, 58, 328, 379, 720, 89, 201, 948, 403, 506, 926, 146, 821, 158, 887, 224, 336, 394, 336, 797, 16, 417, 762, 687, 420, 552, 436, 520, 73, 928, 779, 841, 524, 460, 485, 793, 640, 68, 93, 51, 932, 357, 401, 988, 676, 906, 647, 547, 997, 693, 439, 972, 53, 654, 284, 762, 7, 911, 193, 180, 956, 540, 929, 95, 71, 538, 846, 334, 923, 991, 605, 493, 931, 848, 410, 486, 287, 656, 334, 729, 734, 32, 178, 72, 371, 692, 324, 432, 997, 681, 337, 747, 540, 848, 272, 749, 126, 884, 755, 827, 639, 237, 964, 587, 797, 393, 315, 505, 297, 816, 908, 649, 126, 267, 123, 824, 961, 1, 315, 852, 141, 676, 66, 473, 885, 679, 387, 223, 125, 630, 970, 843, 725, 684, 363, 83, 594, 989, 904, 665, 546, 135, 444, 45, 453, 311, 684, 179, 275, 209, 595, 847, 748, 784, 248, 372, 890, 52, 134, 777, 948, 199, 80, 555, 626, 978, 531, 60, 944, 693, 76, 831, 626, 970, 596, 165, 182, 676, 65, 312, 422, 428, 279, 192, 432, 972, 482, 793, 246, 323, 99, 466, 254, 397, 586, 405, 130, 19, 333, 211, 628, 716, 118, 444, 574, 93, 172, 976, 181, 287, 74, 679, 564, 937, 398, 396, 823, 70, 516, 701, 216, 30}

    {303, 114, 408, 850, 722, 698, 583, 728, 552, 307, 52, 833, 566, 346, 813, 491, 995, 923, 94, 794, 186, 989, 454, 307, 998, 7, 650, 19, 773, 857, 645, 695, 604, 712, 600, 530, 599, 260, 208, 137, 727, 129, 370, 706, 778, 745, 370, 847, 206, 145, 21, 23, 241, 689, 835, 530, 279, 468, 843, 960, 717, 100, 51, 927, 774, 775, 860, 49, 433, 591, 783, 927, 673, 726, 371, 79, 661, 656, 993, 815, 82, 774, 566, 863, 550, 390, 679, 241, 572, 6, 589, 394, 806, 817, 765, 766, 495, 561, 10, 352, 682, 53, 308, 0, 947, 236, 466, 443, 609, 770, 612, 96, 617, 25, 107, 338, 478, 576, 685, 682, 14, 703, 896, 469, 103, 519, 433, 611, 492, 114, 236, 752, 359, 156, 951, 745, 419, 89, 251, 579, 197, 82, 902, 534, 494, 548, 247, 601, 724, 48, 518, 462, 723, 108, 551, 891, 733, 412, 738, 946, 294, 340, 967, 675, 700, 154, 218, 81, 608, 611, 242, 469, 182, 441, 728, 458, 107, 22, 753, 663, 919, 762, 468, 385, 790, 62, 654, 935, 928, 109, 490, 246, 567, 579, 448, 900, 308, 740, 936, 977, 230, 487, 290, 759, 823, 443, 780, 869, 500, 318, 40, 404, 142, 549, 713, 73, 14, 638, 998, 735, 449, 437, 649, 409, 523, 449, 55, 409, 294, 220, 291, 450, 186, 250, 817, 243, 617, 956, 201, 616, 808, 696, 146, 533, 451, 914, 659, 18, 426, 253, 127, 255, 451, 880, 39, 775, 832, 175, 877, 180, 842, 105, 513, 890, 369, 890, 698, 433, 721, 253, 299, 740, 157, 652, 728, 565, 208, 527, 341, 501, 36, 476, 758, 772, 303, 36, 939, 449, 783, 796, 478, 66, 538, 170, 966, 955, 358, 267, 434, 269, 870, 778, 951, 580, 837, 345, 958, 3, 312, 780, 861, 814, 629, 883, 531, 223, 916, 852, 956, 299, 561, 623, 34, 517, 192, 826, 41, 917, 170, 132, 155, 655, 11, 707, 463, 409, 49, 301, 841, 212, 399, 751, 395, 151, 289, 919, 363, 892, 218, 731, 828, 808, 741, 34, 779, 426, 489, 337, 229, 373, 646, 528, 345, 2, 877, 286, 914, 17, 532, 367, 133, 183, 476, 140, 209, 236, 391, 608, 646, 586, 138, 864, 519, 155, 257, 273, 169, 641, 534, 559, 204, 467, 205, 282, 440, 560, 117, 186, 264, 563, 791, 834, 402, 101, 208, 967, 794, 382, 536, 430, 828, 238, 234, 442, 160, 101, 727, 244, 525, 980, 266, 94, 300, 588, 560, 153, 199, 570, 807, 510, 764, 881, 523, 776, 820, 705, 812, 404, 289, 656, 563, 973, 772, 719, 484, 230, 319, 573, 7, 704, 410, 930, 568, 132, 4, 787, 625, 0, 231, 821, 499, 936, 95, 435, 610, 947, 705, 958, 477, 801, 235, 627, 333, 438, 942, 888, 94, 17, 986, 995, 837, 576, 653, 29, 738, 313, 829, 989, 57, 23, 138, 197, 616, 605, 266, 349, 986, 211, 392, 225, 753, 729, 732, 188, 466, 598, 620, 196, 933, 286, 366, 892, 613, 174, 635, 735, 75, 306, 116, 802, 889, 147, 689, 727, 143, 480, 671, 935, 691, 664, 774, 670, 368, 925, 938, 852, 763, 895, 871, 785, 341, 683, 691, 722, 38, 273, 486, 288, 953, 144, 509, 818, 59, 37, 344, 127, 672, 701, 441, 214, 294, 161, 630, 348, 385, 517, 689, 498, 479, 153, 648, 657, 690, 496, 765, 139, 761, 765, 20, 921, 239, 642, 412, 234, 90, 195, 313, 680, 255, 476, 579, 965, 615, 788, 802, 998, 833, 29, 366, 617, 330, 663, 355, 117, 510, 145, 968, 996, 355, 115, 920, 443, 119, 252, 247, 550, 885, 787, 458, 942, 768, 28, 529, 987, 565, 782, 526, 130, 577, 811, 657, 202, 785, 327, 79, 503, 533, 390, 580, 50, 494, 127, 257, 501, 869, 465, 149, 387, 317, 57, 661, 111, 820, 414, 407, 575, 958, 59, 3, 195, 315, 682, 103, 25, 44, 806, 302, 306, 28, 22, 858, 447, 211, 380, 801, 856, 578, 618, 946, 513, 921, 55, 86, 454, 188, 920, 644, 860, 963, 673, 529, 645, 570, 461, 990, 53, 264, 820, 68, 152, 791, 884, 745, 373, 231, 933, 925, 263, 597, 791, 231, 166, 945, 431, 749, 640, 863, 909, 143, 270, 246, 380, 889, 80, 704, 91, 788, 542, 261, 742, 530, 234, 613, 880, 835, 44, 407, 924, 498, 137, 918, 190, 910, 812, 517, 288, 662, 417, 941, 571, 448, 5, 955, 690, 790, 351, 118, 609, 97, 344, 612, 694, 952, 663, 615, 212, 842, 863, 156, 99, 132, 17, 620, 291, 886, 48, 965, 356, 225, 219, 996, 15, 367, 778, 573, 263, 6, 399, 625, 590, 529, 526, 365, 623, 295, 219, 489, 767, 442, 459, 873, 88, 140, 934, 163, 806, 717, 438, 857, 126, 985, 18, 742, 29, 285, 69, 144, 633, 67, 361, 874, 465, 505, 840, 219, 699, 667, 610, 59, 34, 146, 546, 742, 463, 592, 440, 644, 651, 608, 373, 880, 20, 773, 380, 145, 768, 328, 317, 480, 924, 731, 696, 878, 975, 24, 699, 954, 652, 932, 45, 736, 351, 189, 925, 37, 918, 662, 438, 71, 591, 214, 522, 84, 10, 811, 674, 174, 213, 723, 177, 310, 589, 730, 655, 40, 97, 723, 462, 859, 637, 11, 929, 750, 169, 871, 251, 429, 329, 901, 805, 848, 120, 871, 275, 30, 167, 335, 786, 224, 992, 860, 631, 543, 389, 247, 174, 358, 282, 160, 2, 20, 346, 424, 417, 867, 230, 522, 664, 844, 47, 846, 477, 822, 564, 243, 876, 804, 255, 902, 156, 273, 320, 358, 72, 298, 840, 342, 103, 474, 845, 41, 814, 489, 539, 352, 533, 949, 542, 556, 878, 952, 515, 242, 714, 601, 834, 642, 268, 677, 743, 599, 120, 581, 896, 487, 391, 598, 879, 397, 924, 486, 717, 811, 138, 291, 683, 913, 722, 999, 569, 862, 322, 203, 644, 129, 478, 175, 55, 538, 244, 936, 250, 996, 645, 487, 781, 184, 636, 601, 329, 2, 155, 210, 77, 869, 732, 609, 795, 318, 719, 356, 913, 397, 803, 847, 651, 388, 391, 784, 151, 983, 904, 188, 400, 205, 901, 917, 424, 518, 434, 862, 193, 887, 249, 828, 502, 392, 794, 134, 474, 206, 571, 891, 429, 940, 112, 896, 698, 77, 707, 683, 707, 766, 544, 825, 413, 84, 296, 627, 268, 941, 161, 981, 428, 401, 133, 759, 808, 572, 509, 471, 191, 534, 353, 479, 177, 253, 501, 99, 455, 147, 710, 527, 882, 565, 771, 362, 434, 45, 455, 193, 324, 319, 725, 310, 261, 888, 639, 266, 537, 484, 815, 995, 615, 510, 825, 337, 384, 627, 556, 342, 220, 10, 512, 709, 376, 131, 4, 341, 788, 314, 191, 88, 795, 866, 652, 69, 963, 770, 873, 54, 945, 492, 953, 369, 690, 293, 921, 789, 859, 527, 561, 575, 799, 368, 916, 730, 858, 270, 796, 594, 898, 499, 317, 854, 408, 381, 557, 767, 142, 427, 63, 790, 117, 419, 109, 536, 149, 258, 637, 875, 244, 16, 592, 785, 602, 694, 183, 867, 912, 269, 345, 22, 854, 536, 408, 175, 465, 691, 305, 463, 502, 42, 699, 518, 88, 479, 731, 719, 166, 430, 183, 274, 77, 400, 213, 898, 628, 310, 968, 684, 137, 374, 115, 891, 288, 424, 620, 980, 706, 63, 667, 546, 909, 709, 721, 866, 895, 586, 160, 876, 555, 105, 131, 669, 98, 952, 448, 558, 590, 522, 256, 918, 0, 102, 623, 795, 121, 573, 113, 949, 883, 166, 773, 559, 670, 239, 81, 598, 949, 23, 344, 653, 131, 364, 279, 583, 866, 440, 421, 495, 196, 116, 352, 829, 335, 4, 870, 125, 673, 492, 902, 319, 872, 662, 187, 577, 751, 711, 350, 108, 39, 559, 775, 113, 642, 549, 308, 588, 999, 700, 985, 151, 197, 484, 102, 922, 499, 162, 21, 324, 124, 133, 576, 610, 301, 105, 60, 387, 908, 759, 994, 947, 515, 835, 218, 50, 256, 206, 50, 429, 149, 550, 700, 233, 937, 553, 90, 935, 413, 632, 239, 878, 115, 31, 899, 215, 167, 37, 655, 251, 697, 292, 31, 967, 957, 469, 356, 583, 686, 348, 886, 269, 654, 120, 934, 107, 413, 686, 895, 225, 252, 900, 300, 97, 543, 554, 959, 388, 772, 622, 987, 8, 590, 177, 524, 960, 464, 622, 940, 770, 302, 376, 320, 302, 264, 79, 480, 41, 776, 638, 923, 814, 839, 16, 901, 695, 233, 824, 782, 612, 519, 109, 611, 861, 339, 635, 363, 951, 416, 674, 213, 872, 910, 787, 986, 289, 677, 932, 900, 631, 725, 622, 228, 873, 437, 235, 578, 181, 977, 14, 909, 697, 575, 346, 393, 36, 31, 638, 394, 265, 710, 930, 292, 498, 63, 235, 330, 646, 65, 506, 407, 441, 418, 21, 500, 939, 965, 293, 303, 892, 552, 78, 732, 27, 232, 704, 850, 460, 51, 108, 215, 164, 470, 560, 832, 633, 38, 286, 42}

    Returns: {1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0 }

  120. 1000

    {339, 665, 110, 755, 35, 745, 400, 41, 279, 241, 987, 967, 114, 297, 204, 2, 53, 421, 480, 303, 350, 44, 627, 42, 78, 484, 174, 451, 787, 308, 477, 728, 865, 445, 4, 392, 384, 864, 273, 697, 119, 223, 724, 149, 175, 134, 840, 866, 700, 475, 572, 515, 962, 790, 587, 82, 156, 81, 355, 263, 336, 877, 337, 797, 926, 246, 214, 601, 991, 199, 682, 440, 901, 296, 458, 823, 72, 689, 305, 195, 923, 422, 677, 584, 308, 985, 794, 882, 394, 790, 482, 134, 631, 949, 780, 135, 836, 953, 166, 149, 829, 955, 955, 47, 339, 860, 326, 13, 937, 117, 9, 930, 209, 637, 728, 442, 881, 777, 127, 739, 974, 589, 546, 627, 458, 120, 507, 759, 664, 552, 376, 523, 766, 615, 819, 495, 400, 185, 963, 284, 204, 762, 62, 162, 755, 269, 593, 612, 676, 758, 511, 690, 755, 43, 832, 873, 760, 680, 639, 389, 533, 221, 136, 752, 715, 605, 158, 381, 516, 120, 952, 223, 828, 679, 826, 800, 355, 388, 651, 181, 373, 318, 718, 768, 924, 810, 997, 869, 507, 887, 911, 699, 214, 811, 805, 389, 623, 310, 72, 31, 168, 500, 357, 954, 246, 246, 702, 137, 513, 832, 448, 306, 730, 686, 704, 706, 490, 225, 598, 948, 938, 416, 539, 741, 988, 57, 22, 258, 146, 590, 406, 358, 822, 932, 858, 498, 668, 752, 738, 182, 197, 421, 320, 854, 5, 546, 28, 313, 446, 76, 470, 706, 10, 411, 519, 476, 582, 960, 749, 342, 381, 214, 306, 289, 487, 543, 618, 600, 858, 877, 199, 771, 685, 98, 410, 889, 706, 216, 709, 420, 995, 786, 227, 817, 422, 939, 163, 486, 389, 494, 691, 743, 418, 511, 626, 960, 904, 701, 910, 400, 509, 54, 896, 942, 872, 857, 926, 320, 702, 385, 784, 785, 300, 992, 420, 630, 751, 988, 401, 109, 118, 210, 960, 984, 570, 459, 980, 763, 146, 255, 933, 155, 631, 539, 853, 673, 758, 334, 189, 343, 429, 329, 705, 557, 881, 471, 185, 90, 4, 577, 429, 816, 865, 912, 364, 447, 894, 844, 37, 812, 580, 244, 875, 148, 392, 762, 109, 195, 729, 486, 502, 790, 952, 465, 412, 946, 166, 437, 342, 617, 271, 992, 863, 541, 559, 446, 902, 670, 442, 553, 899, 870, 67, 763, 713, 672, 668, 163, 615, 375, 804, 762, 104, 24, 341, 690, 624, 889, 213, 471, 71, 820, 785, 489, 651, 911, 936, 394, 624, 869, 977, 584, 419, 197, 602, 910, 324, 882, 322, 830, 77, 25, 188, 809, 854, 641, 63, 300, 982, 413, 91, 580, 950, 100, 289, 978, 218, 158, 768, 898, 124, 26, 775, 877, 144, 124, 281, 879, 78, 680, 913, 756, 844, 915, 756, 436, 335, 173, 40, 937, 779, 604, 492, 340, 567, 411, 974, 300, 336, 256, 986, 655, 148, 36, 968, 192, 76, 270, 674, 882, 719, 957, 515, 136, 225, 717, 551, 662, 11, 382, 156, 545, 682, 936, 996, 226, 1, 875, 227, 931, 8, 25, 695, 920, 701, 51, 178, 916, 137, 634, 380, 712, 121, 649, 572, 810, 264, 484, 216, 407, 491, 428, 483, 275, 256, 559, 471, 14, 890, 408, 351, 835, 528, 226, 978, 649, 28, 876, 993, 414, 963, 364, 716, 88, 158, 15, 516, 575, 573, 112, 552, 847, 92, 748, 623, 342, 688, 406, 299, 608, 734, 61, 283, 703, 2, 62, 991, 403, 121, 179, 42, 859, 139, 317, 618, 274, 54, 262, 637, 139, 734, 574, 360, 732, 605, 97, 490, 432, 161, 784, 341, 931, 567, 340, 891, 81, 789, 731, 442, 876, 764, 591, 22, 469, 777, 399, 260, 437, 508, 378, 212, 361, 892, 905, 970, 646, 504, 849, 334, 819, 202, 793, 793, 899, 725, 962, 469, 466, 735, 750, 391, 801, 688, 909, 842, 176, 780, 426, 289, 459, 97, 916, 294, 749, 453, 405, 80, 743, 674, 593, 6, 438, 907, 853, 853, 784, 565, 737, 395, 58, 94, 138, 385, 322, 606, 537, 318, 815, 668, 637, 582, 181, 599, 583, 138, 993, 78, 840, 577, 418, 838, 291, 70, 26, 371, 650, 529, 833, 909, 867, 521, 92, 356, 81, 425, 302, 380, 219, 508, 782, 691, 378, 896, 903, 763, 699, 401, 967, 973, 213, 639, 746, 529, 364, 720, 778, 41, 144, 701, 806, 123, 788, 911, 999, 604, 351, 942, 144, 192, 783, 634, 958, 568, 361, 692, 501, 730, 263, 13, 39, 590, 729, 966, 425, 884, 102, 992, 14, 345, 901, 522, 427, 139, 650, 384, 975, 932, 650, 284, 507, 392, 329, 176, 560, 988, 555, 488, 711, 740, 296, 358, 801, 981, 802, 944, 723, 859, 269, 774, 187, 219, 769, 846, 884, 654, 260, 633, 59, 823, 134, 430, 391, 603, 433, 283, 850, 155, 20, 947, 245, 601, 424, 879, 903, 491, 563, 446, 700, 740, 905, 280, 588, 927, 28, 40, 34, 393, 354, 658, 419, 623, 119, 811, 185, 10, 334, 111, 794, 37, 232, 767, 998, 37, 814, 301, 59, 100, 913, 229, 503, 469, 456, 850, 404, 245, 71, 401, 842, 43, 948, 873, 187, 422, 3, 738, 170, 556, 913, 958, 667, 807, 603, 56, 511, 193, 681, 349, 103, 166, 783, 943, 179, 745, 4, 250, 39, 809, 789, 971, 136, 829, 474, 576, 439, 569, 432, 175, 292, 577, 731, 294, 189, 579, 414, 512, 457, 96, 826, 460, 17, 931, 951, 74, 321, 258, 823, 759, 854, 888, 571, 610, 482, 5, 878, 676, 826, 858, 843, 695, 987, 916, 772, 432, 443, 350, 857, 113, 981, 994, 77, 805, 792, 739, 971, 696, 544, 761, 522, 393, 919, 326, 51, 788, 190, 720, 482, 441, 88, 221, 535, 313, 108, 62, 269, 559, 535, 952, 530, 335, 734, 376, 486, 518, 274, 152, 554, 797, 370, 508, 189, 326, 561, 197, 900, 546, 980, 597, 67, 8, 985, 980, 938, 973, 90, 335, 114, 395, 879, 262, 595, 651, 662, 806, 887, 10, 950, 825, 279, 757, 522, 622, 966, 102, 303, 497, 604, 737, 709, 521, 501, 720, 821, 513, 170, 103, 808, 107, 679, 60, 699, 725, 647, 505, 297, 672, 791, 82, 102, 748, 388, 31, 404, 51, 98, 764, 897, 26, 270, 777, 146, 846, 175, 680, 613, 644, 60, 593, 42, 774, 820, 866, 570, 479, 748, 990, 630, 130, 867, 192, 999, 66, 523, 564, 340, 92, 75, 780, 592, 190, 661, 729, 183, 569, 497, 449, 360, 751, 299, 281, 7, 36, 530, 399, 413, 971, 54, 220, 203, 627, 819, 118, 828, 939, 407, 250, 898, 791, 40, 774, 108, 419, 839, 67, 743, 238, 44, 990, 821, 944, 46, 944, 928, 46, 260, 380, 472, 76, 44, 667, 617, 296, 130, 681, 84, 194, 741, 533, 922, 922, 793, 429, 274, 412, 578, 292, 177, 181, 917, 568, 551, 220, 434, 204, 169, 983, 149, 914, 724, 718, 483, 983, 766, 904, 376, 263, 816, 975, 200, 919, 415, 812, 797, 789, 503, 600, 611, 562, 544, 15, 151, 778, 212, 241, 719, 170, 927, 443, 357, 194, 420, 483, 259, 288, 459, 317, 477, 452, 860, 781, 70, 788, 41, 602, 578, 275, 456, 531, 75, 974, 919, 833, 844, 970, 337, 128, 224, 550, 731, 305, 984, 120, 702, 110, 754, 436, 779, 218, 248, 491, 445, 130, 375, 564, 599, 336, 105, 696, 671, 993, 355, 379, 769, 684, 116, 68, 311, 783, 524, 987, 539, 121, 406, 776, 34, 353, 654, 310, 999, 935, 542, 811, 601, 494, 200, 605, 955, 297, 717, 490, 47, 818, 393, 552, 370, 978, 779, 728, 415, 100, 36, 384, 327, 716, 284, 305, 217, 421, 803, 229, 824, 639, 804, 127, 154, 972, 946, 709, 607, 523, 57, 654, 824, 194, 899, 616, 949, 869, 528, 19, 152, 123, 585, 151, 749, 946, 403, 307, 884, 63, 997, 956, 286, 202, 456, 427, 976, 900, 909, 691, 903, 499, 891, 84, 38, 727, 466, 566, 268, 388, 499, 38, 578, 697, 108, 216, 997, 34, 989, 399, 151, 61, 412, 864, 794, 200, 22, 864, 210, 825, 454, 356, 677, 229, 771, 270, 598, 719, 292, 800, 53, 825, 812, 1, 829, 544, 60, 386, 883, 56, 892, 923, 84, 807, 302, 430, 938, 345, 59, 555, 807, 970, 757, 294, 533, 396, 902, 312, 329, 752, 760, 773, 953, 237, 744, 703, 647, 863, 545, 948, 843, 162, 625, 208, 692, 778, 501, 818, 785, 881, 682, 425, 690, 984, 133, 767, 816, 591, 515, 283, 745, 191, 337, 950, 15, 677, 464, 119, 221, 427, 453, 313, 161, 43, 265, 537, 775, 776, 926, 475, 621, 206, 568, 349, 439, 563, 275, 924, 445, 953, 813, 704, 0, 35, 540, 362, 751, 148, 503, 506, 814, 846, 700, 573, 322, 757, 665, 937, 396, 357, 206, 370, 962, 629, 378, 759, 222, 923, 238, 18, 13, 272, 25, 8, 561, 224, 310, 513, 695, 338, 325}

    {959, 232, 536, 640, 344, 361, 291, 132, 849, 171, 670, 532, 799, 851, 319, 525, 753, 581, 530, 609, 298, 914, 714, 703, 141, 215, 468, 840, 83, 557, 93, 417, 802, 253, 698, 857, 330, 597, 620, 23, 549, 21, 304, 741, 196, 463, 885, 19, 448, 235, 457, 150, 73, 666, 29, 534, 705, 333, 321, 381, 927, 838, 222, 941, 288, 80, 477, 674, 972, 848, 645, 740, 478, 308, 585, 379, 928, 140, 111, 261, 268, 324, 969, 907, 595, 687, 404, 589, 209, 309, 435, 426, 383, 332, 99, 739, 236, 518, 409, 85, 723, 666, 309, 608, 353, 331, 847, 951, 732, 765, 23, 880, 33, 371, 629, 231, 11, 61, 461, 180, 85, 257, 167, 547, 105, 684, 966, 738, 603, 845, 437, 524, 83, 147, 917, 693, 38, 484, 314, 669, 592, 940, 3, 862, 316, 478, 538, 198, 813, 656, 640, 665, 659, 251, 669, 543, 398, 479, 207, 53, 914, 933, 704, 186, 455, 852, 681, 506, 586, 818, 302, 492, 517, 897, 531, 178, 182, 918, 594, 52, 164, 520, 663, 325, 65, 304, 633, 470, 431, 473, 733, 177, 792, 14, 632, 796, 642, 921, 167, 141, 649, 892, 435, 261, 602, 638, 830, 480, 131, 347, 298, 319, 849, 716, 628, 566, 276, 168, 558, 35, 516, 79, 977, 964, 940, 266, 209, 517, 708, 330, 781, 301, 233, 587, 804, 775, 234, 767, 184, 628, 176, 191, 347, 547, 878, 733, 115, 426, 693, 248, 295, 711, 969, 7, 563, 722, 113, 747, 88, 907, 23, 961, 803, 444, 537, 796, 273, 265, 373, 527, 589, 94, 316, 208, 157, 288, 323, 290, 241, 89, 417, 39, 79, 115, 12, 943, 908, 675, 268, 239, 403, 387, 441, 900, 934, 307, 309, 104, 363, 643, 352, 372, 286, 366, 886, 408, 742, 327, 929, 518, 365, 856, 843, 725, 135, 390, 233, 348, 418, 315, 153, 205, 675, 548, 968, 855, 354, 290, 594, 590, 172, 312, 782, 315, 339, 687, 105, 344, 230, 833, 157, 798, 52, 676, 954, 341, 145, 715, 372, 612, 259, 112, 460, 768, 273, 961, 514, 613, 982, 58, 69, 106, 467, 831, 481, 348, 977, 230, 282, 101, 304, 989, 449, 733, 871, 489, 542, 504, 584, 746, 211, 242, 55, 86, 528, 609, 277, 461, 766, 413, 718, 162, 545, 632, 293, 831, 368, 553, 935, 930, 658, 562, 600, 851, 447, 534, 374, 64, 48, 792, 742, 363, 765, 351, 708, 465, 324, 726, 68, 692, 213, 643, 786, 713, 638, 410, 138, 203, 488, 929, 815, 841, 150, 252, 730, 876, 538, 362, 390, 509, 473, 116, 610, 458, 369, 239, 247, 464, 710, 998, 929, 887, 441, 161, 726, 532, 9, 942, 894, 893, 96, 19, 606, 282, 986, 495, 177, 856, 989, 436, 211, 573, 196, 143, 641, 397, 655, 240, 925, 424, 866, 219, 588, 33, 224, 838, 68, 330, 18, 848, 86, 570, 188, 628, 359, 817, 822, 848, 195, 75, 240, 423, 622, 845, 697, 147, 182, 645, 472, 771, 687, 6, 287, 936, 519, 773, 227, 587, 661, 541, 722, 964, 27, 343, 129, 576, 407, 440, 898, 575, 902, 875, 636, 648, 770, 856, 93, 642, 630, 16, 710, 124, 765, 58, 574, 359, 333, 66, 142, 165, 722, 618, 217, 32, 500, 891, 616, 95, 505, 596, 920, 918, 212, 657, 409, 201, 462, 576, 228, 598, 226, 652, 802, 827, 111, 809, 243, 550, 365, 423, 934, 264, 787, 242, 620, 7, 245, 636, 451, 867, 122, 239, 417, 609, 286, 243, 69, 773, 527, 132, 961, 994, 66, 171, 377, 772, 450, 967, 83, 560, 817, 954, 33, 888, 150, 109, 906, 510, 293, 431, 140, 387, 287, 476, 761, 683, 98, 547, 433, 969, 635, 834, 504, 463, 438, 91, 657, 367, 143, 377, 457, 173, 658, 688, 465, 174, 405, 463, 893, 450, 583, 670, 259, 32, 171, 799, 397, 808, 855, 390, 582, 49, 201, 525, 353, 183, 423, 159, 625, 147, 499, 12, 660, 215, 868, 653, 448, 70, 190, 885, 841, 156, 933, 991, 845, 198, 31, 371, 142, 880, 165, 643, 736, 473, 186, 472, 614, 0, 164, 231, 369, 154, 89, 764, 481, 626, 905, 712, 415, 383, 836, 272, 956, 492, 805, 721, 880, 835, 660, 315, 278, 398, 249, 574, 428, 71, 183, 87, 769, 222, 79, 367, 72, 520, 750, 912, 940, 394, 414, 715, 895, 368, 218, 338, 295, 299, 452, 506, 514, 86, 644, 454, 744, 16, 210, 698, 438, 542, 169, 193, 207, 343, 128, 800, 644, 354, 461, 178, 540, 979, 549, 379, 468, 567, 366, 689, 215, 152, 145, 813, 129, 117, 107, 439, 345, 806, 575, 244, 983, 251, 85, 104, 625, 205, 311, 976, 443, 374, 617, 837, 694, 74, 689, 770, 493, 160, 91, 47, 48, 267, 450, 344, 348, 196, 6, 265, 303, 17, 488, 314, 678, 653, 621, 772, 666, 257, 540, 153, 462, 541, 285, 408, 409, 440, 485, 256, 959, 556, 538, 534, 186, 290, 63, 622, 391, 65, 754, 237, 908, 747, 526, 872, 554, 30, 474, 671, 498, 928, 862, 433, 796, 870, 920, 252, 282, 678, 30, 958, 237, 27, 356, 140, 596, 685, 478, 287, 795, 489, 285, 278, 791, 686, 338, 267, 894, 895, 30, 346, 369, 321, 50, 372, 724, 460, 957, 878, 619, 254, 536, 835, 410, 261, 180, 386, 314, 129, 234, 756, 981, 318, 94, 141, 358, 328, 311, 746, 915, 452, 526, 82, 517, 580, 249, 249, 266, 694, 164, 362, 126, 29, 932, 717, 614, 646, 520, 481, 277, 493, 631, 883, 998, 93, 579, 521, 675, 619, 251, 455, 327, 106, 349, 614, 319, 234, 467, 116, 375, 323, 56, 708, 837, 612, 556, 901, 173, 941, 626, 233, 635, 935, 834, 747, 973, 411, 566, 332, 434, 640, 713, 11, 918, 613, 174, 659, 842, 118, 99, 686, 673, 586, 648, 616, 581, 455, 679, 597, 583, 562, 956, 266, 941, 257, 235, 312, 737, 945, 883, 714, 254, 278, 467, 431, 267, 495, 236, 377, 485, 735, 444, 888, 645, 656, 496, 968, 912, 387, 493, 721, 824, 635, 524, 683, 125, 921, 487, 382, 253, 474, 228, 795, 514, 3, 5, 510, 115, 721, 73, 331, 727, 434, 97, 21, 444, 247, 331, 131, 890, 449, 402, 157, 531, 280, 893, 526, 871, 982, 163, 787, 165, 17, 205, 317, 184, 839, 664, 906, 46, 367, 96, 551, 564, 27, 280, 836, 827, 402, 661, 657, 996, 638, 87, 822, 947, 908, 479, 698, 621, 199, 279, 159, 133, 945, 382, 254, 951, 607, 976, 707, 995, 142, 634, 453, 217, 863, 683, 554, 24, 754, 608, 799, 558, 167, 99, 939, 512, 123, 924, 160, 132, 398, 557, 553, 464, 847, 487, 655, 949, 106, 244, 510, 820, 80, 24, 512, 859, 202, 705, 485, 247, 480, 271, 535, 803, 558, 995, 964, 850, 502, 837, 852, 629, 128, 707, 208, 996, 172, 133, 572, 193, 293, 122, 594, 18, 307, 519, 238, 366, 223, 125, 550, 742, 154, 735, 786, 569, 925, 611, 276, 831, 579, 262, 363, 64, 346, 49, 447, 714, 255, 810, 548, 306, 365, 397, 476, 975, 496, 430, 943, 712, 922, 168, 561, 870, 50, 231, 678, 45, 830, 959, 815, 470, 532, 198, 656, 732, 220, 868, 65, 277, 232, 352, 498, 915, 112, 211, 821, 101, 889, 110, 1, 798, 965, 874, 276, 374, 945, 207, 242, 127, 947, 667, 776, 781, 203, 2, 258, 990, 298, 122, 642, 285, 346, 620, 74, 896, 904, 871, 333, 435, 169, 295, 669, 12, 659, 494, 271, 360, 468, 585, 726, 255, 832, 565, 347, 525, 179, 660, 466, 509, 496, 90, 373, 29, 555, 395, 710, 839, 632, 49, 595, 610, 886, 653, 663, 586, 160, 874, 117, 694, 323, 416, 758, 45, 711, 325, 236, 101, 560, 890, 611, 852, 636, 897, 131, 359, 906, 316, 462, 45, 619, 383, 505, 861, 291, 396, 592, 32, 753, 861, 994, 201, 963, 9, 536, 607, 647, 662, 707, 48, 497, 727, 921, 405, 252, 301, 87, 114, 641, 736, 184, 180, 917, 352, 782, 860, 20, 895, 95, 416, 543, 77, 615, 328, 475, 21, 886, 527, 548, 172, 126, 753, 795, 89, 827, 986, 673, 20, 624, 664, 135, 862, 95, 910, 332, 652, 841, 73, 760, 885, 798, 529, 581, 368, 206, 934, 633, 808, 565, 770, 52, 761, 243, 834, 684, 64, 228, 874, 801, 591, 814, 549, 571, 736, 648, 451, 599, 230, 652, 865, 55, 385, 235, 828, 750, 159, 126, 16, 596, 0, 143, 663, 386, 187, 965, 588, 930, 502, 671, 723, 925, 979, 606, 861, 107, 965, 153, 248, 571, 191, 57, 328, 225, 424, 320, 240, 137, 672, 696, 281, 428, 972, 350, 125, 145, 264, 253, 693, 188, 69, 272, 685, 155, 402, 744, 454, 50, 873, 646, 855, 250, 979, 113, 985, 868, 957, 851, 872, 500, 55, 103}

    Returns: {1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0 }

  121. 1000

    {909, 115, 97, 460, 384, 245, 491, 46, 948, 939, 143, 392, 942, 84, 585, 98, 900, 611, 936, 375, 613, 414, 682, 943, 544, 598, 619, 991, 667, 575, 411, 72, 712, 135, 167, 352, 535, 890, 300, 521, 655, 683, 877, 328, 839, 357, 57, 360, 700, 905, 365, 273, 858, 451, 133, 487, 655, 903, 369, 277, 373, 436, 303, 499, 770, 795, 845, 692, 792, 507, 650, 698, 932, 201, 932, 412, 108, 883, 672, 391, 247, 777, 776, 129, 77, 865, 66, 349, 632, 382, 607, 182, 927, 353, 389, 218, 660, 262, 134, 409, 913, 951, 199, 789, 38, 187, 764, 362, 209, 874, 872, 344, 849, 243, 382, 727, 169, 840, 611, 682, 309, 295, 787, 69, 567, 407, 661, 583, 557, 724, 668, 614, 75, 478, 29, 880, 888, 569, 51, 66, 625, 182, 280, 937, 325, 540, 72, 25, 463, 46, 562, 808, 91, 677, 143, 539, 620, 471, 168, 427, 844, 337, 63, 865, 578, 247, 718, 749, 600, 888, 883, 336, 912, 727, 30, 529, 348, 75, 78, 110, 447, 31, 870, 338, 415, 2, 702, 394, 252, 792, 217, 363, 771, 79, 566, 409, 731, 379, 414, 882, 495, 486, 148, 769, 208, 157, 380, 618, 266, 752, 570, 301, 129, 432, 335, 759, 368, 507, 345, 110, 328, 710, 247, 979, 841, 518, 723, 523, 142, 525, 936, 833, 344, 552, 33, 104, 520, 927, 751, 837, 54, 600, 109, 901, 365, 510, 405, 418, 157, 894, 811, 307, 418, 662, 562, 207, 216, 318, 491, 654, 481, 101, 848, 273, 50, 182, 838, 857, 767, 80, 238, 147, 45, 183, 967, 761, 360, 371, 479, 474, 604, 93, 882, 343, 49, 472, 825, 636, 798, 537, 916, 937, 521, 78, 719, 991, 447, 173, 848, 92, 635, 737, 710, 347, 30, 972, 601, 463, 266, 267, 178, 887, 181, 890, 488, 165, 264, 595, 1, 910, 231, 484, 240, 382, 510, 865, 942, 30, 138, 604, 960, 66, 794, 453, 574, 857, 981, 79, 550, 602, 615, 406, 970, 228, 977, 134, 528, 915, 794, 573, 448, 704, 103, 773, 494, 808, 943, 385, 594, 327, 24, 912, 101, 413, 97, 942, 209, 620, 708, 289, 342, 510, 123, 529, 135, 874, 496, 60, 971, 664, 765, 14, 846, 696, 571, 592, 981, 383, 788, 797, 763, 244, 77, 616, 314, 364, 271, 244, 58, 921, 105, 574, 208, 662, 909, 962, 824, 637, 692, 921, 34, 485, 453, 207, 433, 627, 703, 389, 640, 21, 858, 686, 824, 177, 461, 947, 541, 315, 689, 185, 728, 51, 645, 249, 741, 301, 836, 648, 472, 750, 694, 741, 959, 581, 553, 607, 560, 294, 341, 224, 608, 101, 887, 654, 90, 732, 71, 355, 557, 713, 54, 194, 567, 514, 185, 552, 727, 913, 327, 438, 838, 909, 459, 273, 403, 15, 973, 438, 374, 690, 376, 533, 25, 183, 342, 803, 847, 73, 3, 246, 807, 701, 950, 284, 209, 343, 622, 555, 473, 730, 815, 944, 984, 934, 851, 201, 381, 43, 350, 652, 544, 390, 598, 491, 633, 686, 413, 356, 893, 636, 448, 168, 257, 798, 923, 352, 487, 200, 943, 356, 530, 641, 121, 634, 532, 198, 357, 168, 606, 523, 854, 903, 977, 533, 289, 658, 786, 556, 92, 810, 630, 384, 650, 566, 815, 517, 86, 421, 274, 641, 381, 69, 996, 741, 531, 885, 930, 968, 597, 113, 117, 480, 75, 985, 972, 761, 964, 361, 249, 747, 722, 203, 734, 86, 768, 529, 131, 288, 588, 768, 188, 33, 193, 292, 819, 94, 851, 22, 626, 639, 940, 15, 199, 0, 441, 469, 179, 284, 430, 674, 380, 621, 400, 304, 978, 557, 785, 100, 756, 701, 528, 184, 355, 928, 296, 180, 44, 625, 832, 596, 668, 131, 478, 867, 89, 598, 955, 457, 788, 122, 805, 294, 817, 948, 940, 821, 839, 922, 423, 21, 379, 26, 121, 323, 580, 959, 857, 469, 571, 413, 662, 283, 787, 155, 211, 486, 53, 341, 51, 367, 361, 837, 803, 313, 646, 787, 156, 635, 835, 897, 286, 113, 323, 591, 496, 108, 360, 626, 524, 123, 387, 519, 115, 237, 975, 147, 861, 649, 792, 216, 427, 22, 944, 694, 723, 318, 477, 537, 128, 862, 955, 861, 823, 790, 223, 793, 749, 918, 525, 672, 339, 411, 378, 116, 459, 335, 659, 371, 759, 254, 767, 202, 866, 563, 348, 770, 319, 960, 935, 475, 643, 199, 682, 367, 517, 609, 973, 129, 837, 154, 878, 169, 560, 38, 189, 334, 767, 139, 466, 445, 452, 747, 211, 859, 487, 156, 908, 967, 292, 407, 609, 174, 167, 483, 245, 738, 549, 773, 426, 17, 973, 184, 60, 76, 421, 157, 402, 736, 526, 196, 150, 849, 750, 545, 520, 261, 327, 375, 640, 748, 355, 479, 18, 442, 778, 126, 864, 665, 296, 681, 80, 739, 831, 712, 442, 217, 609, 374, 47, 309, 810, 519, 949, 292, 964, 652, 242, 324, 84, 50, 856, 706, 947, 356, 494, 466, 522, 693, 615, 418, 350, 307, 607, 287, 507, 821, 985, 748, 237, 460, 577, 218, 345, 111, 847, 979, 53, 290, 867, 718, 569, 191, 50, 94, 496, 876, 844, 185, 746, 794, 848, 392, 697, 249, 876, 636, 167, 651, 562, 130, 137, 515, 989, 729, 281, 888, 999, 714, 260, 795, 31, 466, 894, 708, 645, 774, 104, 513, 803, 707, 260, 777, 380, 621, 298, 880, 512, 29, 867, 833, 737, 321, 578, 324, 52, 548, 372, 151, 362, 752, 563, 148, 290, 314, 668, 2, 521, 649, 372, 331, 511, 251, 56, 331, 797, 796, 701, 427, 259, 121, 674, 915, 439, 456, 838, 571, 294, 908, 1, 106, 114, 109, 116, 446, 974, 783, 153, 762, 772, 349, 558, 623, 835, 399, 596, 724, 856, 277, 56, 513, 897, 925, 675, 608, 705, 722, 483, 707, 989, 117, 280, 512, 524, 832, 965, 802, 98, 639, 240, 363, 381, 525, 470, 840, 708, 702, 68, 493, 950, 449, 646, 169, 540, 629, 691, 286, 20, 133, 873, 739, 278, 225, 432, 613, 422, 751, 276, 225, 902, 979, 584, 351, 580, 897, 223, 781, 13, 295, 361, 423, 621, 32, 311, 549, 615, 364, 650, 563, 153, 138, 878, 606, 202, 0, 451, 919, 165, 592, 836, 58, 72, 686, 890, 901, 243, 133, 616, 978, 120, 699, 633, 653, 479, 628, 804, 166, 738, 677, 499, 91, 328, 304, 119, 928, 926, 476, 977, 900, 5, 241, 761, 220, 900, 748, 997, 489, 149, 769, 350, 493, 697, 895, 989, 455, 548, 357, 395, 122, 42, 476, 749, 478, 945, 771, 911, 625, 637, 290, 204, 884, 831, 16, 574, 825, 3, 54, 196, 950, 257, 651, 633, 520, 56, 192, 33, 391, 675, 721, 720, 987, 805, 667, 83, 9, 43, 720, 371, 634, 99, 627, 696, 765, 968, 779, 901, 556, 647, 300, 251, 253, 847, 842, 313, 459, 947, 298, 895, 28, 632, 123, 816, 793, 689, 823, 578, 337, 846, 287, 228, 544, 298, 148, 252, 401, 419, 127, 630, 717, 256, 395, 831, 742, 489, 315, 432, 663, 797, 779, 189, 89, 677, 493, 526, 643, 351, 309, 914, 795, 456, 885, 184, 656, 359, 130, 858, 915, 836, 657, 58, 951, 117, 935, 713, 219, 835, 528, 978, 768, 349, 556, 955, 746, 542, 257, 150, 137, 278, 433, 842, 872, 192, 274, 311, 988, 534, 948, 655, 930, 412, 338, 969, 923, 721, 745, 108, 825, 489, 572, 674, 519, 338, 114, 981, 527, 640, 377, 960, 647, 460, 658, 862, 84, 781, 765, 840, 411, 417, 512, 935, 932, 527, 364, 518, 463, 92, 886, 358, 914, 504, 699, 198, 849, 939, 886, 653, 456, 143, 454, 576, 755, 533, 346, 351, 844, 937, 884, 400, 681, 523, 469, 961, 400, 331, 772, 542, 82, 530, 359, 956, 150, 183, 80, 266, 214, 200, 21, 753, 753, 632, 916, 118, 712, 237, 390, 964, 702, 441, 878, 151, 391, 47, 197, 300, 620, 676, 506, 863, 59, 873, 153, 139, 419, 995, 581, 823, 375, 747, 647, 524, 120, 238, 499, 16, 870, 422, 120, 344, 734, 720, 135, 565, 558, 296, 3, 303, 384, 44, 821, 160, 140, 550, 872, 271, 115, 317, 471, 802, 176, 951, 612, 316, 861, 412, 692, 537, 90, 151, 508, 780, 128, 511, 346, 736, 870, 663, 502, 618, 586, 195, 267, 85, 138, 409, 788, 882, 907, 337, 304, 419, 38, 987, 222, 213, 48, 954, 334, 208, 639, 694, 131, 793, 699, 920, 347, 262, 622, 122, 176, 993, 303, 283, 139, 599, 93, 728, 754, 580, 719, 885, 541, 757, 240, 59, 635, 451, 1, 999, 263, 156, 78, 155, 736, 204, 481, 549, 710, 222, 745, 952, 159, 595, 731, 577, 17, 506, 340, 613, 486, 731, 365, 631, 688, 876, 526, 913, 40, 420, 718, 348, 664, 517, 259, 750, 414, 975, 447, 863, 789, 772, 17, 484, 211, 354, 577, 383, 2, 114, 714, 595, 198}

    {983, 610, 275, 255, 814, 811, 339, 436, 482, 818, 970, 125, 534, 136, 107, 210, 171, 71, 336, 7, 64, 259, 73, 225, 465, 789, 596, 665, 898, 505, 188, 854, 995, 320, 103, 445, 906, 261, 308, 869, 726, 434, 695, 63, 74, 141, 869, 599, 931, 458, 564, 374, 582, 161, 276, 187, 754, 181, 740, 868, 826, 675, 467, 271, 353, 843, 714, 112, 744, 732, 688, 4, 369, 760, 637, 903, 57, 617, 827, 763, 707, 317, 251, 22, 742, 246, 282, 7, 875, 437, 60, 755, 515, 743, 920, 173, 711, 410, 197, 554, 64, 11, 628, 992, 929, 46, 543, 671, 269, 680, 445, 644, 575, 834, 963, 372, 59, 630, 124, 855, 500, 293, 370, 27, 170, 906, 552, 605, 306, 983, 107, 287, 488, 546, 316, 388, 82, 965, 104, 760, 757, 392, 926, 899, 501, 612, 87, 224, 587, 673, 424, 691, 966, 47, 612, 471, 14, 470, 589, 325, 177, 622, 798, 734, 671, 984, 45, 606, 399, 715, 180, 112, 648, 299, 32, 631, 828, 453, 536, 614, 696, 23, 141, 252, 200, 166, 956, 29, 221, 232, 570, 899, 656, 588, 974, 891, 11, 516, 925, 776, 828, 194, 18, 388, 908, 100, 476, 181, 55, 910, 234, 312, 316, 383, 482, 450, 560, 407, 269, 591, 860, 762, 170, 538, 626, 590, 430, 785, 846, 911, 354, 657, 242, 725, 952, 502, 854, 366, 268, 484, 611, 826, 996, 462, 912, 79, 800, 871, 410, 488, 416, 99, 860, 990, 766, 305, 931, 993, 83, 212, 504, 753, 301, 475, 879, 205, 659, 751, 233, 395, 191, 659, 305, 962, 656, 949, 145, 760, 315, 829, 387, 186, 822, 933, 500, 705, 52, 998, 428, 716, 250, 799, 74, 83, 220, 783, 126, 980, 514, 684, 431, 982, 137, 743, 703, 385, 465, 820, 77, 248, 862, 103, 408, 497, 938, 660, 136, 62, 213, 329, 43, 398, 207, 334, 588, 440, 366, 561, 449, 605, 728, 509, 547, 297, 255, 268, 112, 425, 320, 735, 924, 390, 540, 586, 600, 568, 226, 904, 680, 663, 941, 404, 39, 254, 709, 820, 829, 444, 722, 685, 957, 564, 406, 420, 160, 210, 345, 289, 231, 293, 154, 19, 604, 113, 34, 780, 405, 986, 558, 497, 643, 132, 735, 246, 570, 402, 336, 782, 906, 931, 494, 629, 64, 881, 666, 683, 397, 684, 811, 36, 582, 877, 946, 217, 733, 65, 786, 740, 966, 41, 155, 759, 907, 68, 175, 235, 277, 547, 232, 652, 110, 889, 444, 232, 538, 775, 740, 693, 461, 902, 498, 163, 166, 321, 766, 9, 755, 564, 236, 646, 146, 424, 958, 679, 815, 986, 531, 818, 215, 61, 449, 546, 589, 676, 774, 813, 124, 678, 904, 603, 670, 842, 48, 986, 504, 87, 393, 742, 214, 39, 193, 242, 282, 404, 268, 10, 219, 589, 220, 850, 330, 5, 879, 573, 159, 808, 928, 738, 553, 102, 579, 195, 212, 118, 893, 229, 522, 422, 617, 221, 594, 813, 170, 326, 543, 174, 745, 76, 945, 554, 916, 458, 992, 536, 579, 270, 0, 834, 367, 248, 358, 39, 991, 871, 711, 492, 673, 801, 164, 40, 661, 729, 335, 288, 506, 186, 341, 572, 455, 971, 530, 136, 812, 379, 14, 85, 88, 224, 244, 642, 19, 723, 90, 807, 178, 250, 398, 452, 695, 233, 758, 766, 967, 817, 896, 527, 952, 306, 645, 227, 280, 963, 297, 629, 88, 581, 565, 448, 146, 6, 553, 293, 440, 850, 737, 227, 12, 258, 19, 919, 6, 23, 147, 172, 810, 490, 26, 443, 454, 976, 61, 81, 917, 953, 474, 790, 929, 310, 814, 896, 439, 920, 869, 817, 132, 784, 843, 262, 443, 152, 20, 12, 221, 18, 697, 987, 638, 37, 253, 34, 653, 918, 905, 159, 568, 28, 534, 8, 813, 907, 45, 864, 69, 450, 804, 777, 190, 483, 902, 891, 52, 651, 859, 417, 31, 584, 505, 299, 990, 140, 234, 214, 775, 426, 428, 62, 593, 545, 272, 4, 961, 850, 922, 961, 270, 892, 322, 44, 660, 601, 679, 28, 161, 681, 752, 74, 93, 270, 683, 387, 204, 976, 274, 127, 470, 994, 773, 70, 396, 926, 555, 756, 732, 880, 716, 573, 23, 576, 256, 594, 98, 180, 215, 393, 898, 457, 455, 175, 163, 492, 223, 431, 267, 917, 509, 450, 397, 282, 859, 883, 212, 161, 946, 778, 243, 326, 924, 953, 230, 719, 107, 511, 796, 698, 601, 688, 829, 394, 690, 421, 634, 373, 896, 179, 206, 925, 676, 806, 627, 827, 342, 188, 860, 482, 467, 62, 648, 195, 472, 535, 10, 509, 887, 587, 302, 796, 801, 617, 550, 642, 164, 446, 312, 568, 603, 721, 593, 444, 398, 368, 142, 505, 841, 141, 661, 664, 939, 415, 744, 278, 308, 378, 310, 12, 999, 440, 685, 176, 705, 105, 405, 396, 921, 253, 175, 340, 81, 704, 715, 49, 258, 124, 37, 236, 554, 624, 733, 687, 618, 940, 980, 302, 778, 495, 111, 235, 781, 248, 319, 63, 551, 941, 514, 582, 535, 543, 500, 32, 802, 610, 856, 508, 4, 206, 118, 914, 965, 353, 713, 35, 402, 67, 61, 516, 910, 42, 744, 423, 443, 874, 9, 205, 988, 769, 323, 378, 572, 317, 27, 234, 376, 210, 119, 654, 875, 275, 892, 982, 539, 332, 158, 855, 938, 76, 36, 81, 911, 330, 587, 984, 95, 26, 503, 389, 726, 321, 763, 756, 452, 241, 85, 146, 362, 929, 490, 263, 393, 974, 924, 800, 892, 310, 934, 754, 144, 597, 190, 11, 291, 644, 628, 816, 743, 733, 468, 235, 771, 616, 480, 485, 196, 968, 853, 205, 994, 130, 283, 866, 569, 314, 291, 152, 171, 442, 590, 16, 325, 128, 786, 801, 332, 144, 548, 812, 426, 644, 173, 561, 326, 376, 830, 437, 467, 687, 236, 669, 691, 806, 96, 468, 700, 189, 386, 933, 592, 285, 515, 670, 35, 799, 816, 272, 95, 997, 134, 784, 805, 386, 729, 324, 889, 812, 799, 684, 820, 949, 852, 492, 96, 177, 703, 474, 782, 55, 501, 403, 672, 219, 481, 279, 497, 995, 477, 250, 536, 852, 86, 203, 358, 191, 780, 868, 434, 415, 462, 311, 774, 370, 501, 608, 819, 853, 162, 140, 417, 658, 263, 213, 435, 416, 725, 841, 958, 319, 828, 827, 555, 295, 269, 959, 590, 623, 998, 171, 879, 36, 855, 160, 193, 354, 428, 27, 285, 239, 468, 853, 826, 116, 94, 782, 757, 884, 149, 868, 425, 429, 917, 969, 70, 464, 172, 843, 127, 503, 711, 809, 800, 938, 202, 503, 439, 458, 70, 996, 346, 679, 8, 347, 583, 475, 41, 24, 610, 5, 669, 976, 532, 641, 24, 764, 518, 725, 770, 575, 930, 709, 673, 875, 416, 254, 35, 339, 667, 312, 197, 706, 174, 642, 941, 73, 126, 585, 956, 706, 671, 25, 377, 678, 822, 933, 239, 265, 99, 201, 370, 542, 332, 992, 410, 717, 758, 541, 279, 809, 462, 522, 602, 591, 599, 830, 106, 284, 730, 165, 954, 873, 997, 886, 513, 329, 597, 55, 241, 998, 657, 993, 216, 302, 709, 231, 715, 434, 690, 623, 229, 985, 538, 971, 125, 559, 918, 109, 814, 340, 105, 306, 125, 429, 245, 551, 700, 218, 154, 441, 401, 852, 203, 845, 791, 804, 366, 394, 666, 665, 602, 762, 561, 446, 322, 352, 403, 877, 386, 172, 927, 485, 666, 477, 408, 678, 388, 401, 100, 776, 190, 516, 833, 438, 532, 670, 308, 299, 91, 142, 739, 260, 498, 975, 695, 845, 669, 264, 226, 144, 425, 638, 162, 206, 508, 8, 559, 464, 807, 922, 49, 605, 313, 954, 238, 261, 228, 192, 685, 583, 585, 435, 899, 889, 359, 435, 490, 272, 343, 396, 970, 704, 839, 614, 895, 291, 307, 57, 724, 88, 106, 97, 87, 716, 784, 559, 318, 329, 333, 818, 7, 565, 406, 905, 281, 465, 239, 832, 96, 546, 624, 904, 164, 258, 579, 111, 82, 89, 730, 132, 233, 531, 495, 373, 285, 881, 48, 461, 229, 37, 545, 791, 431, 539, 464, 893, 67, 397, 957, 215, 881, 698, 983, 102, 779, 619, 891, 785, 988, 178, 187, 576, 6, 764, 275, 953, 619, 276, 994, 255, 851, 95, 119, 783, 649, 363, 746, 473, 264, 936, 430, 10, 566, 230, 680, 330, 149, 502, 972, 809, 65, 163, 408, 186, 152, 693, 982, 179, 624, 944, 758, 894, 20, 424, 279, 687, 473, 962, 53, 806, 689, 480, 866, 71, 969, 433, 369, 584, 547, 934, 281, 226, 297, 957, 222, 436, 864, 567, 145, 586, 420, 726, 158, 404, 735, 457, 286, 68, 399, 638, 42, 593, 775, 923, 265, 898, 320, 385, 717, 67, 791, 256, 65, 822, 158, 603, 265, 945, 980, 288, 368, 990, 333, 322, 551, 946, 227, 15, 162, 13, 333, 863, 498, 305, 40, 958, 830, 437, 454, 963, 377, 102, 834, 631, 824, 819, 13, 871, 966, 230, 429, 41, 790, 919, 194, 145}

    Returns: {1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0 }

  122. 1000

    {749, 807, 962, 895, 196, 633, 644, 373, 48, 336, 202, 979, 903, 649, 644, 783, 858, 369, 307, 808, 248, 975, 916, 626, 19, 390, 32, 81, 62, 755, 881, 404, 438, 329, 902, 941, 150, 282, 415, 301, 144, 591, 441, 599, 157, 413, 7, 563, 159, 86, 512, 795, 539, 113, 934, 182, 509, 442, 102, 559, 731, 107, 769, 861, 181, 230, 31, 303, 952, 439, 86, 13, 108, 123, 499, 166, 629, 896, 747, 673, 362, 628, 222, 621, 964, 842, 478, 185, 345, 389, 535, 719, 204, 288, 200, 30, 814, 668, 724, 110, 303, 851, 932, 902, 346, 818, 856, 164, 136, 250, 604, 350, 644, 207, 693, 538, 42, 991, 465, 538, 530, 632, 147, 357, 39, 92, 166, 976, 596, 742, 340, 267, 853, 819, 102, 694, 689, 889, 34, 485, 380, 675, 229, 664, 231, 213, 370, 793, 731, 547, 187, 915, 298, 876, 112, 532, 217, 614, 645, 913, 730, 416, 967, 132, 251, 527, 868, 249, 76, 909, 507, 284, 986, 547, 184, 626, 124, 939, 406, 639, 596, 526, 357, 767, 719, 479, 36, 906, 59, 612, 314, 302, 738, 779, 565, 122, 65, 646, 392, 957, 78, 414, 641, 2, 828, 674, 968, 878, 762, 217, 545, 110, 967, 854, 228, 560, 779, 771, 418, 781, 95, 220, 194, 323, 376, 945, 371, 898, 787, 858, 744, 708, 578, 121, 891, 589, 363, 506, 452, 578, 375, 908, 297, 654, 120, 703, 312, 253, 736, 818, 471, 948, 271, 569, 971, 770, 785, 460, 246, 21, 542, 377, 492, 970, 323, 173, 988, 178, 32, 815, 289, 758, 113, 672, 990, 821, 853, 974, 429, 726, 706, 221, 614, 466, 428, 863, 443, 833, 181, 750, 647, 392, 753, 697, 256, 0, 926, 325, 723, 106, 636, 886, 21, 710, 68, 561, 587, 674, 719, 363, 631, 108, 887, 89, 402, 959, 975, 796, 92, 685, 554, 935, 829, 698, 946, 358, 558, 332, 905, 505, 332, 822, 817, 925, 484, 824, 661, 487, 580, 611, 944, 949, 798, 721, 318, 570, 130, 592, 151, 618, 957, 733, 651, 765, 34, 372, 190, 682, 902, 904, 244, 452, 961, 213, 582, 568, 167, 638, 189, 118, 304, 216, 807, 521, 655, 253, 173, 556, 815, 745, 156, 166, 950, 358, 406, 313, 142, 318, 212, 26, 926, 517, 401, 295, 891, 777, 777, 639, 172, 987, 577, 871, 855, 83, 33, 637, 116, 191, 492, 266, 828, 252, 200, 616, 663, 358, 878, 717, 311, 44, 5, 709, 198, 737, 390, 226, 862, 251, 335, 896, 847, 707, 706, 426, 434, 619, 683, 392, 879, 38, 661, 768, 920, 320, 247, 435, 554, 628, 89, 371, 112, 459, 559, 707, 472, 396, 353, 600, 780, 303, 776, 552, 84, 506, 897, 649, 853, 596, 227, 884, 666, 342, 243, 905, 70, 455, 724, 783, 111, 294, 949, 209, 999, 415, 80, 86, 149, 138, 275, 354, 293, 622, 849, 384, 357, 734, 359, 660, 359, 215, 440, 543, 12, 177, 684, 47, 944, 552, 439, 614, 603, 908, 697, 49, 341, 240, 948, 192, 180, 995, 720, 592, 918, 90, 616, 856, 263, 484, 961, 917, 836, 836, 301, 472, 654, 801, 668, 230, 781, 751, 893, 742, 789, 6, 495, 61, 782, 287, 733, 140, 591, 330, 993, 138, 782, 593, 32, 977, 78, 845, 305, 325, 928, 971, 272, 940, 625, 694, 525, 383, 299, 333, 691, 265, 27, 670, 686, 826, 329, 751, 157, 740, 367, 663, 61, 133, 779, 192, 384, 204, 98, 180, 971, 708, 943, 137, 445, 535, 277, 863, 201, 327, 642, 654, 758, 860, 158, 653, 366, 304, 399, 523, 789, 159, 474, 956, 73, 414, 812, 538, 553, 487, 747, 224, 109, 189, 670, 367, 753, 784, 111, 477, 113, 285, 212, 407, 449, 526, 809, 46, 144, 148, 405, 19, 24, 665, 489, 71, 122, 969, 993, 172, 693, 419, 544, 187, 344, 544, 500, 765, 935, 682, 35, 486, 387, 31, 283, 30, 880, 57, 439, 948, 97, 493, 256, 718, 316, 433, 964, 99, 594, 999, 909, 216, 529, 885, 193, 952, 276, 22, 261, 732, 728, 18, 769, 487, 334, 290, 545, 996, 918, 54, 493, 838, 276, 988, 546, 297, 579, 277, 799, 560, 717, 901, 294, 44, 161, 123, 352, 703, 879, 281, 642, 812, 61, 552, 667, 914, 146, 118, 946, 862, 407, 985, 805, 189, 237, 471, 710, 57, 978, 374, 174, 784, 339, 139, 14, 15, 286, 153, 998, 354, 491, 910, 929, 425, 980, 329, 8, 147, 723, 898, 353, 875, 530, 171, 218, 371, 333, 915, 839, 928, 151, 867, 545, 842, 106, 424, 120, 848, 422, 403, 546, 98, 970, 877, 225, 132, 479, 484, 655, 531, 698, 169, 861, 29, 405, 323, 56, 385, 341, 82, 121, 783, 396, 807, 511, 559, 957, 434, 695, 673, 764, 963, 663, 991, 905, 670, 356, 609, 179, 112, 602, 48, 863, 349, 424, 460, 894, 275, 909, 425, 962, 384, 442, 49, 949, 843, 756, 738, 445, 182, 648, 551, 884, 773, 62, 875, 798, 193, 762, 441, 220, 201, 599, 37, 180, 992, 467, 826, 217, 877, 747, 91, 200, 123, 184, 982, 675, 336, 730, 822, 724, 405, 333, 429, 214, 376, 369, 147, 118, 224, 30, 894, 922, 563, 922, 629, 682, 265, 772, 772, 923, 979, 526, 519, 315, 755, 313, 134, 286, 735, 275, 138, 179, 454, 536, 360, 248, 66, 481, 363, 412, 54, 580, 221, 955, 241, 220, 518, 83, 589, 605, 343, 179, 133, 642, 237, 159, 871, 739, 102, 511, 609, 449, 73, 533, 916, 122, 379, 634, 142, 530, 132, 268, 416, 866, 224, 0, 635, 416, 249, 574, 789, 346, 352, 856, 527, 42, 499, 837, 491, 814, 134, 858, 882, 91, 866, 618, 759, 151, 715, 353, 568, 74, 612, 143, 557, 561, 725, 349, 693, 445, 794, 558, 737, 411, 982, 337, 960, 770, 430, 155, 638, 124, 501, 311, 143, 485, 398, 375, 986, 419, 717, 316, 878, 773, 278, 659, 604, 242, 457, 699, 231, 27, 444, 925, 246, 955, 751, 937, 313, 343, 135, 907, 59, 467, 153, 612, 993, 53, 606, 284, 433, 922, 73, 75, 628, 188, 665, 160, 90, 567, 615, 63, 472, 20, 218, 324, 841, 116, 37, 688, 847, 806, 893, 785, 632, 950, 63, 886, 629, 960, 21, 749, 973, 256, 350, 664, 318, 713, 543, 688, 558, 871, 817, 163, 218, 149, 730, 196, 773, 609, 228, 332, 977, 236, 850, 63, 903, 864, 195, 606, 560, 685, 399, 430, 645, 240, 521, 455, 35, 700, 581, 916, 338, 887, 651, 2, 443, 620, 263, 33, 661, 970, 532, 787, 8, 625, 477, 575, 149, 579, 404, 767, 503, 988, 864, 228, 53, 880, 374, 932, 910, 124, 769, 350, 808, 135, 148, 136, 516, 735, 522, 486, 668, 351, 895, 814, 480, 620, 590, 130, 418, 778, 796, 231, 59, 412, 225, 408, 548, 861, 455, 611, 721, 170, 660, 211, 793, 423, 854, 687, 882, 142, 206, 567, 729, 686, 38, 963, 6, 588, 367, 39, 762, 339, 29, 157, 443, 700, 370, 641, 171, 950, 413, 181, 836, 244, 804, 500, 105, 184, 135, 235, 624, 227, 726, 16, 578, 666, 925, 774, 360, 169, 188, 991, 324, 369, 569, 722, 360, 268, 67, 277, 841, 55, 214, 910, 620, 701, 47, 749, 772, 160, 527, 34, 418, 267, 809, 849, 454, 579, 935, 208, 934, 722, 276, 603, 551, 300, 442, 269, 60, 286, 622, 732, 425, 744, 958, 653, 460, 56, 355, 477, 7, 756, 818, 11, 12, 499, 473, 83, 370, 320, 325, 264, 979, 507, 211, 715, 53, 403, 651, 471, 610, 398, 603, 44, 259, 892, 467, 274, 731, 493, 192, 293, 600, 820, 145, 155, 424, 602, 793, 634, 65, 987, 137, 429, 945, 565, 567, 546, 278, 265, 29, 165, 845, 161, 336, 937, 658, 569, 660, 976, 131, 408, 796, 19, 420, 708, 901, 589, 137, 662, 694, 490, 289, 24, 967, 461, 69, 262, 270, 529, 428, 319, 550, 33, 420, 691, 239, 177, 294, 426, 587, 903, 282, 258, 529, 43, 537, 576, 263, 491, 652, 842, 338, 48, 403, 150, 244, 561, 386, 605, 636, 500, 623, 960, 932, 956, 894, 996, 977, 735, 958, 28, 928, 582, 186, 390, 431, 974, 69, 202, 383, 757, 420, 204, 632, 130, 768, 207, 26, 359, 838, 600, 36, 531, 955, 226, 862, 931, 638, 153, 92, 163, 771, 616, 822, 804, 787, 825, 990, 274, 990, 756, 343, 469, 723, 624, 973, 488, 163, 907, 843, 284, 23, 351, 167, 41, 408, 812, 58, 354, 536, 761, 407, 907, 618, 134, 165, 473, 848, 771, 736, 795, 305, 301, 975, 750, 884, 330, 90, 237, 66, 698, 414, 486, 412, 646, 964, 582, 188, 998, 852, 287, 531, 989, 806, 402, 897, 944, 685, 452, 321, 75, 920, 875, 797, 161, 288, 465, 797, 765, 507, 473, 31, 108, 887}

    {700, 211, 820, 888, 94, 893, 592, 160, 767, 106, 601, 940, 821, 262, 840, 981, 310, 502, 152, 712, 317, 114, 43, 437, 139, 513, 98, 168, 117, 522, 715, 252, 233, 209, 478, 446, 679, 366, 337, 282, 593, 382, 819, 718, 449, 965, 575, 84, 411, 554, 741, 247, 378, 94, 270, 309, 613, 267, 308, 125, 380, 212, 746, 810, 725, 984, 243, 434, 830, 968, 474, 213, 574, 344, 597, 68, 537, 867, 240, 233, 331, 521, 915, 57, 448, 501, 17, 75, 936, 549, 728, 549, 687, 174, 20, 534, 829, 495, 881, 972, 458, 210, 438, 900, 164, 195, 662, 374, 994, 330, 786, 475, 60, 764, 912, 695, 82, 97, 739, 733, 804, 427, 421, 469, 788, 608, 205, 186, 444, 562, 665, 152, 581, 42, 830, 262, 737, 752, 107, 874, 310, 927, 320, 109, 450, 586, 298, 295, 625, 271, 292, 490, 828, 639, 368, 145, 82, 876, 347, 150, 601, 232, 233, 740, 984, 714, 781, 154, 712, 759, 187, 643, 234, 933, 580, 643, 788, 171, 178, 870, 319, 919, 865, 575, 389, 168, 388, 25, 895, 459, 834, 896, 280, 56, 319, 845, 466, 356, 891, 342, 299, 72, 409, 447, 379, 852, 676, 340, 64, 516, 494, 431, 481, 58, 800, 182, 257, 577, 792, 989, 197, 334, 830, 470, 236, 775, 681, 170, 799, 214, 633, 504, 664, 84, 705, 162, 208, 475, 989, 296, 669, 748, 431, 391, 727, 501, 400, 205, 345, 466, 774, 557, 514, 504, 352, 312, 760, 41, 437, 389, 602, 953, 365, 58, 549, 409, 995, 696, 811, 791, 435, 101, 743, 3, 573, 849, 982, 562, 400, 523, 954, 997, 588, 40, 435, 141, 52, 528, 183, 676, 506, 766, 870, 410, 196, 107, 152, 528, 326, 490, 590, 519, 692, 87, 144, 760, 799, 81, 470, 704, 427, 185, 921, 819, 15, 426, 938, 761, 802, 951, 718, 331, 511, 229, 598, 447, 450, 128, 908, 524, 604, 300, 223, 283, 548, 396, 729, 978, 553, 470, 447, 892, 254, 480, 716, 513, 254, 980, 634, 844, 906, 704, 52, 584, 900, 324, 795, 446, 0, 703, 127, 117, 210, 235, 961, 18, 229, 230, 74, 5, 513, 835, 938, 607, 178, 757, 515, 742, 174, 432, 79, 593, 348, 794, 385, 254, 983, 834, 17, 528, 711, 586, 797, 454, 125, 232, 816, 588, 432, 128, 287, 373, 399, 754, 720, 555, 727, 831, 10, 458, 640, 835, 114, 829, 918, 55, 245, 904, 245, 376, 37, 786, 866, 676, 172, 597, 621, 923, 419, 421, 759, 969, 801, 379, 266, 934, 364, 705, 876, 97, 382, 140, 162, 713, 88, 899, 930, 79, 947, 76, 346, 404, 766, 702, 760, 223, 190, 859, 115, 266, 827, 525, 880, 601, 734, 387, 924, 565, 680, 564, 315, 994, 898, 71, 800, 117, 4, 183, 657, 9, 6, 409, 885, 684, 785, 930, 701, 129, 463, 459, 387, 640, 519, 630, 26, 148, 272, 158, 347, 93, 433, 748, 88, 512, 974, 322, 55, 436, 996, 879, 764, 850, 621, 672, 790, 953, 985, 308, 505, 766, 492, 840, 25, 279, 46, 815, 784, 515, 851, 225, 496, 167, 366, 656, 355, 45, 802, 264, 1, 283, 115, 684, 556, 309, 671, 936, 739, 913, 695, 919, 855, 652, 394, 368, 792, 253, 572, 464, 728, 13, 890, 833, 307, 219, 536, 983, 380, 832, 847, 940, 248, 725, 790, 889, 45, 714, 586, 523, 548, 610, 613, 869, 873, 994, 373, 839, 462, 194, 143, 782, 261, 524, 206, 119, 94, 825, 260, 317, 678, 397, 126, 475, 543, 99, 72, 809, 566, 388, 811, 570, 382, 279, 415, 843, 573, 176, 375, 38, 273, 208, 381, 645, 77, 39, 296, 921, 199, 289, 550, 619, 794, 852, 328, 758, 900, 70, 85, 140, 141, 50, 757, 883, 710, 201, 361, 95, 406, 104, 235, 680, 241, 745, 690, 96, 921, 105, 775, 417, 28, 362, 362, 605, 43, 831, 966, 946, 691, 51, 427, 410, 321, 669, 101, 966, 743, 930, 652, 598, 85, 339, 462, 194, 436, 252, 96, 952, 716, 308, 461, 976, 572, 980, 317, 754, 119, 347, 100, 541, 120, 968, 906, 912, 832, 40, 128, 125, 66, 914, 813, 372, 297, 776, 857, 803, 456, 296, 502, 423, 87, 280, 550, 349, 104, 49, 497, 583, 126, 587, 116, 271, 440, 555, 675, 942, 54, 417, 365, 146, 219, 637, 872, 129, 791, 939, 355, 451, 388, 288, 322, 242, 820, 103, 606, 923, 338, 306, 508, 641, 481, 302, 88, 440, 326, 304, 489, 520, 873, 348, 476, 699, 464, 11, 52, 962, 146, 738, 222, 659, 774, 199, 886, 451, 671, 811, 615, 257, 292, 806, 81, 173, 696, 805, 496, 290, 141, 299, 206, 692, 576, 655, 610, 441, 631, 476, 444, 846, 803, 995, 136, 334, 249, 540, 646, 919, 25, 72, 850, 623, 291, 712, 234, 658, 912, 158, 810, 105, 503, 250, 650, 881, 973, 679, 302, 22, 711, 3, 827, 273, 613, 904, 927, 827, 175, 250, 364, 683, 1, 570, 844, 951, 195, 516, 100, 667, 573, 933, 568, 544, 10, 931, 947, 594, 300, 456, 846, 617, 381, 924, 260, 890, 647, 377, 677, 259, 981, 162, 310, 393, 653, 998, 933, 93, 986, 186, 193, 258, 314, 954, 335, 768, 364, 683, 763, 541, 963, 361, 997, 185, 798, 498, 47, 463, 4, 164, 534, 115, 872, 503, 518, 802, 540, 154, 537, 690, 23, 929, 746, 232, 268, 78, 864, 131, 96, 99, 51, 464, 71, 720, 3, 497, 627, 885, 46, 348, 448, 669, 322, 734, 13, 640, 648, 169, 385, 851, 100, 394, 615, 215, 17, 607, 777, 704, 755, 337, 129, 259, 15, 199, 947, 778, 437, 344, 50, 848, 203, 395, 825, 395, 16, 583, 648, 677, 12, 754, 417, 103, 630, 722, 80, 981, 917, 542, 70, 657, 177, 321, 273, 839, 562, 547, 400, 139, 656, 264, 67, 857, 340, 650, 553, 331, 942, 701, 941, 280, 823, 197, 564, 93, 413, 461, 666, 873, 890, 512, 954, 223, 483, 837, 504, 790, 205, 585, 391, 555, 291, 191, 365, 221, 835, 816, 462, 775, 246, 243, 951, 557, 522, 607, 810, 245, 345, 826, 23, 882, 28, 155, 846, 428, 678, 74, 494, 514, 377, 583, 869, 780, 386, 631, 76, 707, 821, 801, 5, 611, 79, 436, 943, 647, 236, 314, 496, 104, 953, 741, 736, 824, 274, 457, 534, 327, 328, 69, 681, 927, 786, 924, 393, 748, 680, 361, 18, 64, 423, 892, 716, 859, 451, 272, 77, 635, 868, 269, 635, 133, 35, 242, 992, 238, 657, 175, 394, 520, 10, 859, 854, 741, 914, 438, 203, 479, 911, 51, 584, 103, 911, 965, 705, 505, 260, 576, 258, 658, 8, 763, 278, 255, 202, 681, 410, 269, 342, 89, 677, 510, 721, 608, 510, 831, 803, 888, 241, 674, 16, 465, 226, 626, 532, 888, 45, 281, 743, 515, 860, 1, 692, 191, 598, 7, 114, 780, 945, 198, 792, 198, 290, 219, 381, 591, 517, 101, 752, 776, 753, 899, 215, 838, 176, 518, 509, 238, 156, 622, 209, 619, 808, 468, 958, 713, 279, 696, 227, 292, 874, 637, 686, 659, 702, 127, 585, 109, 929, 341, 494, 468, 541, 860, 285, 378, 239, 255, 985, 624, 458, 788, 539, 992, 111, 488, 984, 816, 234, 778, 156, 482, 497, 498, 478, 627, 307, 397, 422, 633, 398, 584, 154, 939, 942, 709, 207, 823, 77, 11, 883, 840, 597, 959, 508, 913, 295, 183, 14, 823, 594, 176, 590, 566, 85, 65, 926, 247, 533, 311, 524, 959, 453, 865, 251, 383, 917, 938, 463, 257, 430, 175, 727, 483, 813, 291, 393, 87, 309, 595, 378, 488, 293, 999, 966, 855, 421, 450, 80, 468, 805, 744, 238, 40, 709, 401, 131, 617, 824, 485, 495, 67, 752, 535, 865, 517, 36, 699, 68, 368, 119, 566, 650, 770, 328, 837, 126, 732, 746, 50, 920, 91, 402, 649, 305, 899, 422, 673, 987, 564, 832, 520, 335, 457, 817, 870, 595, 508, 483, 502, 145, 401, 298, 972, 24, 261, 121, 941, 897, 27, 877, 270, 617, 551, 857, 997, 911, 667, 577, 726, 386, 656, 446, 168, 969, 498, 514, 540, 391, 22, 689, 581, 4, 476, 702, 711, 869, 630, 432, 972, 556, 482, 327, 983, 937, 60, 627, 563, 844, 889, 571, 469, 872, 64, 729, 239, 690, 255, 533, 697, 127, 763, 315, 671, 372, 679, 901, 688, 489, 110, 9, 474, 539, 599, 448, 956, 165, 190, 965, 525, 203, 678, 356, 672, 761, 874, 574, 453, 316, 943, 411, 395, 216, 978, 643, 800, 571, 585, 623, 833, 95, 714, 306, 936, 326, 222, 572, 20, 689, 482, 41, 931, 595, 608, 453, 285, 480, 706, 571, 509, 210, 397, 867, 636, 306, 542, 62, 740, 791, 883, 2, 834, 868, 750, 510, 312, 745, 456, 14, 662, 687, 9, 813, 281, 197, 170, 351, 841}

    Returns: {1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0 }

  123. 1000

    {912, 62, 501, 888, 584, 900, 109, 389, 930, 283, 609, 68, 960, 877, 877, 747, 138, 425, 909, 527, 76, 800, 696, 510, 515, 709, 100, 618, 718, 453, 516, 250, 583, 221, 975, 646, 750, 87, 111, 173, 730, 357, 930, 363, 564, 598, 559, 291, 266, 660, 877, 915, 165, 228, 727, 310, 523, 507, 223, 669, 904, 432, 206, 602, 939, 904, 123, 52, 923, 247, 202, 923, 798, 492, 991, 974, 854, 576, 705, 930, 233, 438, 457, 639, 855, 393, 385, 190, 862, 71, 606, 606, 237, 377, 95, 580, 604, 104, 738, 817, 638, 732, 175, 980, 56, 434, 334, 98, 802, 64, 731, 130, 798, 688, 954, 280, 593, 735, 178, 715, 756, 580, 758, 777, 61, 276, 280, 943, 648, 340, 89, 751, 37, 548, 22, 250, 518, 792, 994, 611, 680, 49, 701, 441, 147, 610, 36, 219, 985, 131, 929, 371, 224, 0, 335, 118, 368, 514, 972, 907, 709, 334, 535, 814, 198, 703, 202, 975, 664, 554, 843, 422, 237, 587, 567, 751, 74, 360, 901, 963, 297, 384, 989, 820, 984, 558, 154, 905, 69, 378, 963, 798, 876, 914, 724, 977, 85, 90, 116, 422, 221, 661, 931, 731, 308, 357, 190, 886, 991, 570, 223, 608, 501, 211, 986, 934, 377, 712, 289, 617, 841, 167, 960, 805, 366, 258, 80, 57, 976, 526, 598, 637, 649, 515, 531, 534, 758, 438, 184, 195, 98, 872, 510, 456, 667, 178, 845, 5, 578, 47, 549, 235, 624, 918, 314, 126, 228, 198, 268, 178, 927, 807, 284, 61, 763, 115, 514, 756, 649, 412, 912, 121, 779, 520, 787, 875, 47, 695, 550, 287, 274, 659, 603, 496, 325, 670, 288, 772, 380, 768, 220, 906, 920, 133, 920, 757, 918, 450, 825, 365, 399, 989, 809, 108, 336, 656, 635, 733, 519, 812, 257, 754, 505, 715, 27, 3, 811, 924, 245, 985, 450, 92, 20, 211, 672, 979, 914, 218, 135, 738, 275, 810, 271, 265, 610, 605, 608, 521, 258, 523, 352, 35, 784, 269, 967, 278, 189, 940, 962, 872, 831, 233, 558, 759, 465, 341, 57, 505, 231, 196, 456, 105, 564, 141, 914, 587, 796, 12, 126, 349, 528, 489, 865, 819, 240, 765, 330, 725, 866, 552, 417, 659, 832, 981, 35, 46, 359, 459, 480, 328, 290, 401, 104, 839, 564, 603, 721, 834, 476, 405, 929, 696, 687, 477, 291, 468, 828, 503, 245, 906, 577, 186, 404, 891, 151, 577, 472, 896, 871, 884, 406, 373, 489, 535, 533, 65, 850, 927, 464, 841, 800, 391, 493, 436, 459, 944, 460, 95, 634, 641, 488, 371, 307, 390, 191, 484, 360, 16, 494, 636, 822, 87, 306, 492, 643, 646, 321, 337, 936, 801, 266, 308, 190, 131, 826, 140, 84, 724, 659, 960, 218, 591, 538, 62, 499, 642, 636, 145, 919, 760, 676, 204, 584, 112, 885, 649, 762, 808, 936, 254, 912, 277, 258, 140, 711, 739, 458, 762, 361, 22, 44, 541, 232, 964, 472, 23, 184, 812, 858, 13, 742, 839, 181, 424, 281, 589, 314, 586, 872, 856, 167, 526, 347, 372, 653, 932, 831, 925, 875, 409, 864, 843, 119, 90, 767, 67, 750, 943, 313, 506, 426, 265, 192, 560, 157, 694, 394, 44, 951, 890, 598, 779, 731, 905, 519, 527, 350, 681, 648, 949, 626, 697, 878, 477, 867, 30, 427, 255, 586, 433, 161, 655, 377, 58, 867, 435, 332, 948, 839, 749, 13, 343, 652, 225, 821, 882, 383, 335, 621, 953, 326, 588, 143, 876, 494, 925, 854, 367, 447, 788, 684, 973, 781, 297, 641, 520, 209, 928, 363, 556, 845, 818, 679, 467, 834, 573, 223, 255, 892, 37, 30, 824, 688, 953, 112, 739, 993, 522, 989, 753, 569, 414, 441, 420, 468, 940, 164, 336, 573, 694, 938, 679, 285, 683, 88, 14, 474, 498, 391, 983, 372, 788, 972, 837, 109, 763, 378, 390, 672, 707, 824, 625, 479, 343, 331, 390, 195, 282, 511, 353, 264, 964, 42, 709, 559, 538, 800, 786, 292, 124, 58, 878, 826, 342, 793, 197, 267, 784, 407, 312, 332, 505, 646, 385, 282, 67, 467, 55, 720, 838, 791, 383, 82, 805, 756, 803, 340, 284, 636, 523, 514, 396, 827, 571, 472, 923, 361, 92, 3, 868, 859, 643, 540, 692, 618, 729, 351, 828, 852, 881, 457, 476, 803, 851, 561, 985, 384, 531, 607, 414, 629, 481, 237, 421, 681, 707, 825, 824, 607, 604, 130, 671, 384, 481, 610, 336, 189, 467, 116, 213, 340, 240, 436, 330, 283, 705, 722, 395, 474, 379, 363, 851, 785, 711, 468, 604, 753, 637, 105, 300, 927, 378, 435, 189, 192, 528, 936, 206, 138, 964, 714, 420, 204, 213, 897, 145, 165, 186, 383, 28, 204, 220, 0, 840, 186, 203, 623, 219, 635, 159, 695, 331, 548, 562, 986, 524, 852, 973, 84, 778, 803, 241, 398, 937, 570, 888, 212, 420, 364, 249, 413, 404, 208, 933, 860, 711, 62, 473, 591, 60, 751, 456, 884, 663, 401, 801, 279, 754, 392, 55, 247, 875, 295, 70, 8, 45, 267, 911, 229, 131, 935, 212, 329, 793, 635, 120, 904, 552, 135, 66, 516, 547, 550, 183, 510, 211, 197, 74, 174, 436, 975, 15, 682, 102, 103, 460, 631, 74, 835, 582, 829, 941, 452, 918, 828, 50, 719, 96, 714, 326, 771, 403, 938, 154, 506, 550, 338, 507, 566, 845, 267, 5, 228, 616, 1, 260, 928, 951, 65, 524, 143, 346, 843, 699, 974, 906, 358, 20, 362, 991, 651, 592, 261, 235, 144, 874, 718, 338, 968, 289, 391, 706, 767, 969, 38, 791, 553, 8, 274, 401, 66, 452, 684, 894, 623, 12, 434, 563, 767, 110, 929, 998, 319, 47, 908, 358, 889, 951, 381, 820, 319, 225, 821, 644, 96, 271, 592, 852, 75, 796, 179, 235, 813, 158, 138, 282, 861, 362, 75, 285, 720, 367, 44, 822, 365, 78, 634, 534, 692, 547, 673, 703, 463, 583, 574, 499, 112, 576, 241, 618, 99, 784, 162, 321, 860, 609, 563, 287, 56, 5, 404, 291, 409, 111, 779, 418, 676, 574, 259, 816, 921, 612, 704, 485, 16, 750, 126, 885, 461, 474, 855, 736, 992, 129, 450, 118, 822, 764, 39, 497, 23, 58, 482, 687, 887, 647, 231, 801, 629, 593, 632, 123, 741, 527, 399, 471, 150, 753, 55, 521, 116, 449, 821, 597, 233, 560, 987, 432, 882, 103, 423, 958, 608, 1, 42, 507, 760, 694, 183, 490, 413, 855, 902, 452, 886, 739, 346, 720, 733, 259, 832, 434, 663, 0, 508, 418, 140, 18, 137, 562, 871, 54, 119, 327, 724, 216, 633, 655, 382, 587, 388, 162, 479, 913, 942, 393, 938, 184, 435, 271, 320, 392, 864, 295, 902, 676, 826, 60, 326, 612, 962, 96, 414, 395, 277, 492, 447, 238, 919, 809, 949, 870, 979, 125, 880, 765, 159, 978, 593, 892, 440, 945, 712, 392, 264, 429, 350, 269, 621, 633, 611, 473, 548, 655, 617, 210, 518, 158, 380, 626, 590, 263, 545, 835, 33, 692, 272, 277, 247, 509, 312, 506, 592, 284, 274, 565, 242, 707, 558, 762, 230, 966, 749, 805, 787, 740, 787, 97, 281, 778, 476, 917, 549, 449, 122, 124, 232, 264, 698, 501, 941, 870, 832, 53, 966, 696, 107, 882, 2, 362, 243, 182, 153, 553, 844, 566, 921, 413, 239, 448, 172, 889, 216, 437, 419, 99, 212, 907, 355, 705, 716, 269, 919, 239, 180, 122, 442, 69, 380, 292, 849, 224, 765, 526, 860, 438, 36, 63, 687, 725, 344, 65, 578, 471, 812, 38, 137, 490, 421, 398, 339, 847, 549, 73, 811, 172, 368, 616, 772, 518, 653, 319, 913, 552, 652, 64, 113, 825, 836, 288, 446, 359, 521, 651, 888, 166, 479, 880, 797, 777, 853, 361, 3, 856, 778, 42, 958, 125, 977, 580, 15, 736, 910, 202, 130, 605, 83, 153, 896, 727, 109, 344, 516, 350, 637, 561, 289, 203, 92, 907, 842, 764, 497, 69, 195, 861, 400, 663, 249, 8, 901, 871, 704, 64, 591, 810, 986, 785, 305, 46, 758, 173, 313, 905, 303, 437, 33, 469, 297, 119, 113, 508, 577, 754, 511, 605, 584, 81, 534, 82, 166, 470, 165, 395, 45, 347, 621, 785, 403, 794, 100, 296, 880, 460, 539, 181, 612, 63, 794, 120, 786, 924, 10, 742, 535, 974, 176, 299, 310, 182, 430, 669, 796, 511, 652, 865, 288, 629, 861, 84, 900, 573, 870, 627, 440, 488, 661, 942, 313, 811, 876, 976, 487, 107, 920, 771, 807, 381, 37, 400, 197, 421, 648, 925, 375, 727, 28, 994, 321, 878, 143, 441, 729, 107, 969, 815, 959, 159, 81, 675, 304, 221, 607, 782, 893, 606, 668, 544, 34, 768, 680, 834, 987, 669, 151, 949, 790, 148, 859, 865, 419, 884, 664, 349, 11, 306, 898, 78, 75, 793, 106, 133, 397, 23, 760, 111, 881, 661, 208, 911}

    {841, 627, 261, 170, 689, 678, 169, 63, 619, 614, 333, 91, 730, 236, 158, 953, 464, 225, 114, 517, 324, 444, 716, 462, 270, 615, 163, 863, 201, 72, 215, 303, 275, 292, 209, 862, 327, 328, 937, 502, 134, 139, 624, 556, 736, 352, 397, 600, 205, 536, 849, 251, 583, 275, 594, 910, 916, 43, 670, 26, 911, 496, 229, 232, 799, 722, 551, 354, 954, 617, 252, 359, 459, 589, 48, 10, 256, 638, 9, 163, 11, 356, 746, 809, 616, 121, 374, 483, 113, 98, 677, 370, 666, 78, 27, 945, 480, 253, 699, 561, 194, 481, 728, 437, 582, 342, 525, 491, 749, 741, 146, 921, 439, 632, 100, 628, 162, 743, 897, 502, 491, 376, 46, 484, 83, 132, 693, 311, 945, 412, 947, 160, 723, 952, 956, 830, 984, 266, 408, 806, 394, 471, 306, 48, 173, 164, 503, 713, 339, 752, 296, 329, 868, 403, 546, 654, 40, 191, 517, 869, 831, 850, 723, 199, 833, 227, 671, 137, 509, 398, 947, 4, 14, 429, 371, 768, 620, 410, 557, 981, 937, 857, 935, 719, 688, 792, 683, 647, 67, 596, 176, 897, 316, 154, 268, 934, 445, 541, 315, 582, 73, 234, 60, 868, 168, 734, 149, 529, 579, 205, 120, 353, 883, 971, 17, 956, 628, 322, 773, 129, 697, 114, 134, 216, 302, 689, 640, 869, 443, 794, 857, 310, 239, 146, 128, 123, 160, 966, 219, 367, 997, 142, 719, 496, 537, 439, 462, 301, 148, 222, 416, 28, 619, 769, 968, 893, 924, 475, 702, 2, 791, 998, 153, 234, 644, 879, 764, 997, 915, 335, 273, 823, 29, 698, 188, 144, 571, 222, 193, 656, 569, 955, 101, 294, 846, 409, 797, 298, 337, 320, 405, 426, 806, 238, 983, 56, 944, 387, 139, 354, 816, 454, 935, 347, 790, 737, 522, 838, 748, 542, 486, 500, 353, 18, 410, 220, 149, 25, 599, 93, 835, 594, 243, 198, 85, 299, 543, 106, 770, 613, 244, 39, 33, 673, 623, 428, 946, 101, 932, 978, 542, 29, 261, 530, 555, 135, 200, 602, 757, 45, 701, 660, 108, 152, 691, 680, 893, 497, 748, 665, 761, 581, 795, 570, 465, 281, 16, 946, 185, 955, 17, 932, 856, 127, 276, 673, 187, 68, 658, 316, 316, 684, 433, 795, 774, 740, 954, 783, 333, 633, 94, 690, 6, 156, 981, 866, 913, 299, 238, 500, 182, 381, 645, 596, 686, 948, 735, 168, 532, 215, 677, 772, 708, 955, 485, 370, 287, 85, 716, 645, 693, 318, 557, 296, 977, 996, 262, 883, 30, 273, 464, 148, 547, 18, 439, 654, 325, 410, 666, 983, 642, 430, 172, 885, 965, 869, 829, 770, 180, 827, 789, 540, 427, 332, 254, 957, 710, 745, 995, 588, 141, 702, 428, 814, 15, 722, 59, 702, 735, 365, 298, 451, 956, 896, 959, 864, 241, 364, 693, 691, 462, 272, 489, 513, 49, 251, 133, 613, 68, 192, 698, 858, 557, 487, 432, 833, 999, 674, 990, 533, 642, 443, 373, 717, 737, 307, 671, 374, 323, 97, 426, 697, 31, 689, 630, 700, 386, 842, 83, 52, 193, 597, 141, 947, 682, 901, 817, 961, 218, 781, 43, 372, 536, 177, 776, 908, 322, 992, 503, 207, 215, 491, 229, 500, 770, 668, 208, 34, 850, 859, 542, 59, 224, 262, 463, 94, 755, 819, 376, 99, 996, 520, 466, 388, 147, 728, 615, 572, 819, 766, 495, 480, 782, 922, 847, 537, 700, 626, 273, 513, 263, 984, 568, 493, 700, 171, 453, 486, 686, 529, 217, 344, 799, 718, 620, 726, 522, 590, 2, 713, 743, 478, 38, 330, 926, 156, 311, 286, 513, 166, 214, 283, 482, 300, 469, 87, 595, 329, 11, 24, 175, 657, 980, 242, 622, 475, 982, 256, 455, 993, 125, 853, 714, 944, 20, 373, 614, 331, 76, 152, 318, 210, 187, 543, 309, 710, 222, 678, 145, 611, 982, 304, 732, 428, 95, 601, 39, 49, 773, 965, 863, 566, 682, 980, 41, 196, 242, 132, 899, 12, 638, 729, 248, 701, 309, 934, 183, 327, 170, 207, 407, 745, 640, 786, 466, 903, 411, 883, 903, 110, 874, 894, 967, 352, 789, 644, 346, 596, 80, 93, 19, 519, 957, 127, 71, 495, 546, 613, 305, 721, 446, 560, 889, 314, 656, 619, 81, 416, 396, 270, 417, 411, 651, 59, 816, 199, 315, 743, 210, 370, 874, 478, 355, 572, 427, 563, 374, 645, 917, 475, 585, 290, 117, 402, 448, 31, 469, 389, 994, 952, 200, 788, 385, 517, 813, 458, 309, 188, 356, 691, 257, 789, 715, 293, 813, 348, 599, 634, 571, 674, 802, 567, 769, 761, 895, 333, 418, 910, 631, 32, 19, 388, 368, 559, 230, 780, 91, 411, 444, 752, 579, 769, 909, 465, 447, 302, 244, 106, 72, 486, 203, 662, 836, 677, 144, 193, 818, 252, 551, 972, 386, 999, 609, 115, 26, 808, 295, 379, 29, 776, 86, 226, 157, 293, 108, 685, 199, 431, 578, 512, 27, 207, 7, 449, 639, 294, 445, 922, 151, 315, 740, 301, 775, 155, 276, 950, 733, 396, 748, 848, 394, 804, 21, 679, 171, 142, 230, 487, 643, 717, 454, 717, 572, 703, 539, 595, 532, 201, 157, 899, 105, 844, 272, 728, 317, 853, 407, 494, 402, 147, 311, 80, 603, 40, 585, 249, 581, 194, 721, 4, 169, 70, 375, 118, 349, 61, 214, 188, 873, 726, 54, 836, 110, 543, 124, 114, 544, 488, 922, 317, 254, 761, 25, 667, 77, 595, 545, 525, 243, 887, 708, 32, 89, 524, 270, 742, 93, 948, 128, 873, 76, 442, 19, 546, 298, 746, 890, 795, 695, 627, 364, 775, 823, 376, 260, 51, 493, 600, 9, 240, 263, 22, 891, 946, 614, 369, 712, 279, 499, 940, 345, 348, 962, 386, 763, 279, 226, 647, 253, 214, 757, 248, 457, 771, 32, 355, 579, 70, 255, 278, 422, 412, 987, 990, 175, 690, 136, 775, 430, 470, 286, 747, 43, 690, 52, 782, 710, 551, 774, 248, 997, 337, 231, 244, 86, 121, 556, 194, 305, 399, 675, 51, 999, 14, 454, 744, 838, 766, 179, 294, 799, 171, 260, 293, 565, 993, 317, 495, 950, 657, 88, 898, 737, 408, 554, 342, 484, 933, 926, 968, 537, 176, 755, 7, 916, 431, 132, 31, 477, 894, 958, 625, 21, 706, 738, 334, 72, 174, 152, 41, 988, 256, 630, 290, 389, 665, 664, 982, 810, 866, 931, 196, 589, 725, 1, 662, 164, 301, 575, 759, 253, 858, 369, 660, 844, 246, 213, 942, 444, 741, 169, 102, 262, 533, 747, 971, 79, 928, 339, 588, 766, 970, 170, 846, 115, 89, 245, 867, 992, 879, 423, 601, 77, 970, 36, 127, 540, 744, 562, 630, 848, 458, 653, 387, 668, 776, 312, 304, 40, 161, 415, 453, 34, 482, 525, 820, 545, 351, 675, 26, 4, 79, 971, 666, 504, 746, 783, 973, 280, 455, 726, 461, 734, 348, 976, 265, 732, 387, 790, 536, 366, 969, 970, 463, 180, 650, 943, 840, 600, 324, 461, 625, 744, 952, 7, 941, 343, 236, 227, 895, 886, 899, 286, 916, 161, 35, 167, 323, 341, 122, 602, 708, 48, 887, 807, 774, 529, 191, 205, 478, 206, 351, 622, 842, 300, 160, 79, 136, 650, 959, 674, 451, 900, 665, 251, 939, 318, 620, 156, 51, 21, 806, 704, 25, 356, 6, 967, 686, 783, 706, 996, 345, 699, 425, 553, 903, 397, 360, 150, 586, 323, 568, 448, 988, 149, 961, 814, 57, 574, 998, 104, 881, 406, 509, 576, 150, 873, 908, 466, 155, 990, 10, 71, 91, 400, 931, 268, 657, 531, 995, 402, 895, 366, 933, 857, 670, 755, 429, 259, 278, 358, 502, 678, 685, 483, 504, 667, 102, 804, 988, 658, 179, 978, 417, 827, 650, 957, 979, 512, 541, 181, 163, 658, 328, 155, 622, 101, 797, 90, 185, 833, 815, 405, 730, 823, 425, 307, 9, 375, 303, 640, 544, 508, 713, 88, 483, 234, 808, 445, 498, 829, 174, 631, 209, 879, 615, 672, 909, 498, 185, 681, 446, 369, 54, 590, 97, 639, 73, 325, 575, 424, 6, 433, 490, 917, 848, 898, 654, 568, 415, 320, 847, 308, 902, 830, 632, 86, 139, 470, 892, 555, 382, 840, 662, 66, 837, 424, 815, 539, 862, 802, 187, 53, 117, 50, 792, 575, 431, 512, 995, 624, 723, 443, 846, 854, 965, 780, 863, 597, 781, 322, 53, 515, 581, 24, 146, 338, 357, 382, 24, 851, 780, 554, 136, 226, 354, 177, 103, 13, 565, 594, 324, 926, 773, 302, 246, 50, 759, 168, 419, 890, 177, 532, 555, 641, 601, 569, 423, 345, 455, 473, 950, 250, 217, 538, 416, 257, 485, 117, 227, 939, 442, 752, 82, 830, 236, 393, 94, 849, 961, 252, 685, 408, 628, 777, 530, 585, 963, 246, 415, 129, 734, 818, 17, 451, 217, 41, 440, 201, 134, 837, 128, 915, 891, 77, 817, 528, 406, 567, 745, 804, 379, 200, 504, 683, 285, 530, 142, 341, 599}

    Returns: {0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0 }

  124. 1000

    {348, 971, 786, 609, 77, 715, 405, 400, 254, 794, 768, 553, 696, 365, 237, 996, 137, 117, 537, 265, 81, 158, 204, 157, 494, 441, 273, 962, 323, 305, 138, 931, 125, 212, 171, 505, 963, 909, 198, 487, 851, 716, 84, 876, 438, 140, 579, 364, 127, 480, 147, 493, 211, 205, 333, 723, 926, 349, 398, 493, 228, 217, 104, 507, 247, 805, 653, 978, 716, 656, 960, 358, 82, 1, 54, 617, 952, 593, 324, 983, 57, 930, 168, 402, 142, 973, 597, 477, 294, 536, 845, 776, 750, 638, 821, 898, 106, 216, 368, 506, 223, 834, 57, 830, 307, 593, 385, 805, 264, 116, 545, 678, 824, 791, 738, 306, 142, 640, 256, 25, 849, 904, 827, 771, 970, 203, 100, 894, 640, 495, 658, 150, 485, 100, 557, 821, 882, 139, 104, 922, 314, 381, 953, 267, 98, 764, 89, 164, 841, 811, 11, 345, 562, 579, 934, 414, 881, 298, 741, 749, 780, 730, 803, 489, 122, 720, 529, 903, 490, 614, 280, 695, 287, 146, 740, 923, 241, 893, 90, 821, 911, 560, 478, 359, 200, 226, 268, 59, 303, 484, 860, 155, 901, 5, 984, 767, 203, 698, 464, 303, 431, 690, 861, 167, 808, 710, 570, 37, 146, 956, 679, 708, 420, 573, 128, 314, 789, 137, 744, 467, 904, 844, 264, 596, 149, 620, 294, 950, 157, 183, 641, 511, 481, 937, 329, 150, 158, 158, 217, 395, 960, 580, 965, 264, 877, 581, 751, 73, 79, 577, 85, 708, 247, 712, 72, 393, 442, 557, 517, 609, 284, 321, 78, 84, 682, 276, 28, 5, 255, 962, 714, 268, 892, 691, 905, 827, 537, 993, 23, 905, 823, 579, 811, 988, 862, 208, 999, 868, 83, 382, 437, 380, 667, 595, 136, 176, 462, 36, 257, 310, 967, 63, 201, 361, 793, 444, 790, 527, 384, 885, 246, 70, 383, 360, 46, 88, 897, 960, 665, 915, 102, 898, 134, 52, 791, 164, 650, 185, 471, 608, 692, 980, 854, 27, 917, 778, 872, 231, 88, 106, 425, 429, 319, 385, 850, 238, 877, 583, 99, 317, 279, 350, 77, 667, 99, 245, 400, 494, 74, 446, 184, 449, 730, 923, 359, 467, 837, 167, 974, 249, 935, 23, 653, 728, 175, 693, 748, 470, 932, 721, 595, 214, 306, 885, 819, 921, 730, 954, 713, 522, 307, 964, 73, 312, 995, 846, 976, 337, 521, 736, 478, 143, 156, 502, 981, 516, 340, 852, 332, 604, 127, 540, 756, 373, 809, 522, 781, 49, 150, 937, 562, 449, 219, 460, 890, 427, 978, 278, 315, 401, 747, 371, 25, 614, 588, 129, 431, 212, 542, 465, 283, 950, 519, 675, 65, 782, 409, 339, 228, 83, 298, 320, 507, 759, 980, 336, 722, 351, 848, 863, 250, 992, 581, 585, 179, 658, 253, 919, 152, 759, 240, 495, 551, 395, 515, 671, 461, 656, 17, 654, 700, 457, 189, 349, 898, 175, 633, 618, 13, 934, 699, 205, 660, 108, 454, 833, 691, 763, 656, 830, 451, 677, 679, 89, 455, 683, 263, 766, 354, 746, 526, 476, 879, 888, 972, 268, 952, 129, 697, 692, 46, 332, 517, 14, 444, 651, 21, 792, 372, 388, 963, 307, 177, 58, 683, 844, 786, 172, 290, 717, 193, 248, 370, 371, 785, 347, 504, 681, 295, 940, 186, 715, 993, 937, 639, 824, 859, 700, 840, 908, 117, 149, 743, 262, 393, 750, 277, 391, 770, 825, 187, 767, 781, 263, 198, 565, 261, 757, 771, 980, 713, 671, 607, 674, 754, 986, 505, 413, 357, 748, 378, 532, 229, 492, 538, 914, 751, 296, 916, 577, 972, 508, 738, 134, 638, 316, 0, 440, 911, 219, 329, 778, 267, 4, 584, 953, 392, 202, 798, 612, 8, 913, 19, 84, 722, 930, 746, 977, 854, 487, 776, 523, 211, 588, 93, 123, 130, 277, 322, 556, 592, 729, 443, 776, 632, 421, 825, 1, 990, 484, 507, 170, 116, 798, 957, 954, 42, 357, 651, 845, 253, 514, 320, 375, 51, 930, 524, 636, 104, 868, 433, 971, 350, 337, 131, 559, 67, 674, 935, 582, 458, 341, 799, 718, 157, 600, 727, 540, 564, 977, 0, 851, 333, 838, 881, 889, 105, 956, 281, 717, 425, 454, 796, 218, 734, 735, 785, 863, 196, 632, 451, 556, 173, 144, 124, 818, 777, 450, 679, 570, 889, 363, 499, 650, 497, 426, 123, 283, 595, 840, 355, 174, 563, 408, 666, 388, 406, 361, 160, 767, 254, 744, 134, 406, 852, 555, 830, 144, 279, 285, 905, 940, 136, 549, 463, 59, 815, 152, 676, 82, 427, 662, 77, 280, 812, 41, 322, 688, 483, 95, 527, 802, 140, 38, 89, 102, 189, 623, 208, 712, 768, 308, 254, 932, 229, 417, 370, 602, 197, 900, 546, 314, 80, 704, 578, 948, 775, 891, 489, 202, 747, 326, 695, 652, 565, 360, 804, 341, 273, 909, 15, 485, 701, 331, 186, 447, 65, 464, 159, 407, 635, 407, 342, 287, 435, 768, 942, 32, 202, 408, 902, 391, 751, 442, 241, 160, 721, 480, 502, 97, 370, 335, 310, 865, 464, 944, 209, 353, 909, 933, 392, 864, 283, 592, 222, 695, 349, 777, 673, 534, 951, 583, 603, 899, 677, 650, 228, 340, 870, 460, 326, 998, 774, 528, 455, 44, 467, 484, 319, 455, 137, 339, 229, 457, 770, 860, 919, 715, 570, 285, 448, 83, 402, 652, 54, 832, 459, 518, 424, 657, 208, 555, 802, 938, 585, 462, 781, 332, 399, 275, 709, 929, 831, 685, 198, 614, 79, 438, 441, 774, 98, 890, 40, 555, 617, 718, 867, 687, 864, 103, 732, 811, 582, 759, 227, 122, 345, 82, 723, 862, 13, 393, 578, 221, 99, 596, 636, 609, 121, 377, 779, 758, 860, 659, 121, 172, 758, 87, 88, 222, 929, 828, 791, 241, 648, 831, 147, 792, 214, 508, 128, 469, 154, 131, 501, 53, 481, 476, 809, 462, 233, 246, 472, 355, 691, 367, 849, 447, 218, 155, 403, 807, 519, 312, 470, 322, 548, 179, 120, 67, 54, 210, 822, 348, 450, 502, 750, 904, 724, 843, 766, 460, 36, 992, 372, 262, 945, 36, 377, 26, 536, 199, 374, 223, 737, 458, 682, 660, 261, 889, 265, 401, 667, 899, 902, 741, 366, 602, 108, 991, 491, 682, 732, 377, 907, 117, 216, 340, 899, 477, 743, 296, 128, 864, 342, 524, 724, 232, 260, 405, 640, 734, 420, 492, 793, 313, 969, 574, 773, 446, 521, 808, 256, 657, 449, 517, 335, 813, 98, 926, 803, 642, 631, 234, 30, 808, 201, 239, 448, 419, 262, 854, 734, 925, 551, 11, 731, 416, 183, 358, 122, 758, 818, 470, 474, 124, 794, 642, 654, 221, 481, 0, 161, 366, 155, 789, 37, 213, 454, 59, 295, 53, 74, 631, 372, 153, 182, 531, 402, 515, 199, 323, 261, 482, 857, 506, 371, 749, 800, 599, 237, 282, 356, 129, 343, 713, 499, 441, 383, 504, 287, 951, 151, 329, 363, 626, 222, 748, 900, 153, 390, 447, 68, 458, 857, 688, 796, 784, 3, 718, 434, 890, 712, 902, 173, 323, 28, 815, 662, 188, 257, 380, 687, 116, 799, 106, 80, 392, 24, 740, 245, 94, 6, 510, 766, 742, 996, 351, 105, 474, 927, 420, 911, 53, 907, 659, 438, 489, 967, 893, 732, 335, 3, 666, 878, 824, 376, 801, 469, 753, 41, 186, 170, 156, 15, 529, 269, 868, 921, 526, 326, 408, 699, 710, 663, 736, 400, 921, 253, 6, 107, 753, 700, 146, 813, 419, 127, 171, 800, 697, 431, 277, 211, 912, 701, 166, 30, 786, 850, 561, 527, 165, 506, 573, 995, 587, 853, 800, 529, 533, 857, 542, 674, 564, 5, 703, 991, 775, 22, 218, 665, 907, 774, 255, 445, 885, 923, 784, 604, 863, 68, 205, 810, 512, 210, 436, 974, 929, 22, 677, 22, 132, 847, 217, 953, 716, 557, 743, 182, 121, 914, 6, 519, 624, 412, 796, 58, 619, 662, 798, 493, 688, 508, 203, 135, 979, 119, 562, 348, 471, 633, 676, 499, 660, 515, 849, 887, 285, 561, 788, 479, 204, 426, 978, 511, 657, 410, 492, 723, 107, 101, 426, 212, 725, 934, 554, 655, 681, 49, 487, 604, 356, 984, 731, 56, 414, 221, 954, 977, 974, 554, 616, 772, 571, 530, 14, 233, 705, 375, 465, 841, 45, 678, 779, 938, 521, 298, 141, 378, 512, 51, 815, 405, 882, 822, 171, 227, 12, 806, 357, 45, 368, 697, 820, 746, 648, 72, 398, 144, 632, 564, 513, 491, 185, 250, 703, 478, 801, 65, 1, 592, 648, 223, 476, 979, 946, 440, 381, 388, 197, 260, 573, 276, 68, 513, 428, 131, 714, 722, 67, 882, 363, 265, 779, 528, 998, 182, 710, 804, 901, 339, 317, 172, 548, 446, 300, 485, 683, 560, 56, 154, 96, 232, 152, 731, 160, 306, 981, 970, 599, 443, 961, 376, 724, 577, 823, 631, 44, 831, 565, 823, 636, 63, 58, 280, 13, 554, 294, 717, 452, 30, 838, 380, 838, 835, 232, 913, 74, 703, 305}

    {544, 12, 180, 374, 711, 93, 190, 164, 947, 848, 920, 588, 473, 611, 525, 364, 69, 204, 162, 658, 901, 990, 769, 66, 8, 817, 727, 737, 271, 858, 395, 771, 190, 982, 547, 842, 948, 797, 355, 231, 545, 928, 992, 292, 436, 2, 69, 214, 865, 760, 810, 572, 375, 966, 290, 304, 437, 276, 114, 39, 620, 629, 591, 603, 620, 806, 874, 924, 34, 159, 194, 539, 625, 739, 91, 672, 690, 115, 252, 432, 559, 281, 994, 284, 297, 989, 805, 754, 986, 412, 475, 752, 230, 141, 472, 726, 581, 616, 500, 818, 932, 665, 816, 7, 616, 97, 26, 959, 728, 646, 235, 410, 726, 883, 168, 801, 19, 225, 945, 532, 299, 645, 886, 760, 47, 396, 90, 826, 15, 177, 689, 544, 272, 634, 787, 320, 605, 686, 344, 765, 290, 422, 627, 819, 994, 886, 100, 213, 725, 906, 858, 922, 736, 48, 85, 510, 546, 991, 220, 645, 803, 453, 927, 694, 755, 225, 270, 35, 970, 549, 309, 993, 156, 727, 334, 672, 516, 787, 634, 109, 437, 985, 427, 195, 118, 855, 925, 353, 403, 900, 817, 504, 983, 356, 828, 961, 445, 422, 61, 661, 877, 210, 243, 119, 645, 418, 176, 598, 273, 70, 24, 338, 721, 12, 884, 829, 43, 48, 284, 891, 532, 52, 132, 430, 915, 147, 255, 516, 874, 613, 896, 612, 847, 543, 814, 163, 719, 599, 187, 729, 675, 346, 627, 237, 866, 539, 230, 933, 702, 973, 258, 269, 810, 580, 43, 37, 496, 70, 259, 148, 299, 244, 625, 40, 2, 820, 867, 316, 986, 707, 601, 615, 567, 566, 621, 912, 943, 999, 917, 583, 376, 291, 360, 73, 206, 289, 572, 90, 671, 162, 92, 676, 31, 865, 479, 769, 311, 33, 181, 664, 308, 346, 876, 880, 373, 571, 578, 552, 621, 413, 763, 684, 435, 853, 647, 872, 875, 269, 739, 606, 964, 301, 920, 46, 496, 38, 321, 834, 304, 941, 114, 267, 184, 569, 997, 328, 55, 539, 123, 567, 461, 644, 637, 958, 729, 706, 133, 364, 871, 918, 456, 975, 260, 629, 560, 75, 52, 423, 913, 853, 317, 130, 78, 879, 680, 975, 76, 820, 505, 10, 209, 549, 66, 525, 870, 914, 737, 951, 60, 331, 520, 523, 790, 305, 366, 387, 448, 793, 430, 861, 832, 884, 61, 819, 883, 178, 183, 486, 535, 347, 628, 477, 365, 394, 949, 303, 404, 367, 742, 19, 107, 946, 939, 842, 31, 482, 876, 259, 655, 836, 315, 651, 34, 396, 114, 510, 486, 995, 547, 706, 91, 685, 421, 419, 878, 630, 459, 463, 832, 190, 943, 661, 215, 708, 941, 385, 337, 311, 444, 95, 86, 109, 637, 452, 888, 189, 859, 215, 113, 607, 139, 192, 567, 939, 498, 29, 424, 944, 248, 918, 145, 50, 941, 397, 541, 626, 869, 64, 856, 764, 236, 33, 411, 955, 62, 807, 936, 495, 782, 828, 374, 576, 894, 509, 689, 302, 572, 643, 637, 625, 639, 725, 969, 10, 587, 108, 126, 624, 862, 807, 445, 480, 293, 312, 230, 451, 428, 550, 219, 266, 38, 666, 468, 690, 910, 987, 60, 111, 745, 71, 48, 542, 50, 612, 728, 647, 196, 514, 561, 884, 175, 558, 946, 500, 646, 327, 639, 626, 240, 236, 138, 442, 566, 174, 873, 62, 979, 302, 397, 257, 411, 418, 661, 707, 598, 976, 783, 605, 558, 258, 629, 628, 935, 973, 47, 109, 975, 813, 530, 856, 20, 207, 740, 468, 112, 149, 373, 11, 369, 707, 466, 968, 585, 649, 601, 957, 976, 965, 270, 852, 483, 331, 610, 301, 344, 154, 103, 40, 926, 928, 394, 224, 856, 192, 391, 947, 63, 43, 795, 550, 345, 338, 297, 4, 250, 893, 193, 215, 918, 892, 282, 996, 151, 191, 496, 244, 987, 816, 443, 159, 794, 397, 927, 792, 488, 749, 9, 834, 741, 165, 556, 875, 118, 762, 466, 619, 692, 292, 130, 318, 652, 439, 762, 145, 533, 684, 94, 324, 524, 249, 871, 501, 763, 924, 945, 783, 318, 533, 369, 837, 85, 773, 514, 234, 415, 850, 206, 282, 538, 839, 401, 235, 829, 263, 497, 664, 488, 787, 956, 698, 644, 575, 719, 881, 75, 341, 534, 71, 180, 105, 873, 603, 404, 833, 503, 903, 982, 330, 775, 336, 959, 664, 778, 872, 475, 843, 321, 80, 966, 600, 490, 153, 330, 191, 178, 607, 649, 797, 617, 414, 309, 286, 62, 324, 126, 709, 453, 302, 780, 544, 384, 833, 289, 967, 747, 985, 238, 417, 343, 78, 362, 34, 846, 965, 940, 673, 780, 174, 613, 541, 764, 461, 558, 647, 249, 422, 176, 928, 136, 346, 726, 23, 627, 939, 60, 770, 111, 118, 433, 165, 318, 180, 531, 488, 81, 69, 24, 350, 855, 826, 120, 534, 39, 379, 762, 242, 386, 875, 354, 835, 720, 166, 706, 18, 600, 670, 379, 590, 64, 812, 880, 236, 783, 92, 16, 301, 33, 952, 101, 386, 415, 704, 972, 883, 589, 757, 18, 931, 304, 962, 540, 20, 959, 520, 44, 858, 201, 197, 635, 590, 580, 423, 531, 125, 601, 999, 399, 91, 817, 602, 924, 523, 319, 837, 841, 659, 571, 271, 503, 526, 200, 177, 110, 181, 179, 933, 643, 168, 64, 518, 291, 861, 756, 987, 248, 41, 413, 278, 411, 655, 7, 541, 299, 608, 463, 352, 133, 622, 379, 398, 225, 351, 869, 772, 21, 522, 292, 846, 167, 998, 251, 687, 191, 148, 473, 997, 670, 575, 491, 466, 738, 266, 199, 839, 293, 653, 75, 618, 8, 568, 559, 772, 439, 936, 859, 406, 765, 7, 87, 669, 26, 226, 432, 498, 433, 20, 755, 500, 693, 416, 187, 948, 569, 55, 957, 799, 963, 814, 55, 538, 50, 825, 278, 950, 654, 878, 910, 752, 384, 851, 102, 797, 112, 680, 224, 835, 663, 761, 389, 482, 641, 643, 795, 696, 39, 126, 286, 969, 546, 873, 589, 124, 839, 17, 188, 300, 240, 587, 777, 497, 982, 32, 634, 163, 297, 87, 613, 25, 644, 680, 596, 641, 942, 574, 343, 593, 359, 457, 668, 958, 550, 574, 368, 756, 115, 9, 417, 72, 246, 597, 29, 238, 809, 76, 874, 719, 888, 200, 132, 782, 673, 140, 342, 185, 47, 769, 352, 166, 582, 112, 589, 947, 964, 765, 816, 141, 425, 714, 711, 465, 720, 867, 545, 252, 288, 266, 702, 440, 170, 906, 352, 421, 843, 313, 942, 49, 325, 879, 610, 92, 300, 428, 760, 66, 169, 968, 369, 227, 453, 308, 97, 936, 245, 615, 424, 944, 638, 668, 483, 892, 649, 291, 387, 409, 347, 193, 125, 32, 886, 518, 181, 568, 836, 17, 615, 894, 694, 844, 436, 871, 887, 880, 675, 530, 16, 161, 334, 943, 678, 681, 4, 272, 891, 513, 590, 903, 699, 968, 855, 990, 509, 111, 316, 511, 383, 624, 328, 27, 16, 925, 611, 188, 295, 471, 597, 207, 895, 115, 994, 836, 733, 79, 354, 258, 988, 784, 220, 543, 870, 415, 259, 313, 753, 234, 272, 404, 270, 103, 274, 486, 847, 745, 275, 785, 439, 231, 382, 733, 670, 594, 916, 591, 563, 362, 325, 711, 621, 251, 605, 315, 279, 18, 365, 469, 473, 244, 29, 226, 917, 684, 705, 430, 503, 742, 386, 920, 897, 432, 635, 390, 27, 840, 897, 611, 479, 916, 338, 822, 169, 896, 646, 804, 685, 606, 528, 327, 213, 35, 608, 330, 576, 733, 812, 669, 672, 997, 576, 474, 598, 623, 133, 705, 145, 552, 568, 271, 387, 333, 138, 829, 827, 610, 169, 971, 93, 56, 242, 694, 28, 468, 61, 535, 51, 586, 754, 423, 86, 702, 162, 475, 416, 490, 378, 606, 396, 96, 757, 161, 142, 594, 206, 520, 910, 663, 135, 689, 619, 275, 537, 866, 382, 509, 512, 389, 309, 274, 281, 403, 71, 110, 110, 450, 709, 325, 630, 788, 536, 288, 623, 472, 566, 543, 235, 233, 642, 686, 955, 547, 949, 814, 184, 745, 501, 826, 207, 410, 548, 949, 196, 220, 289, 336, 256, 409, 630, 42, 744, 755, 394, 966, 789, 195, 120, 866, 984, 869, 981, 95, 434, 358, 563, 143, 9, 591, 622, 961, 622, 288, 251, 842, 802, 535, 906, 247, 761, 135, 896, 57, 887, 848, 459, 955, 286, 31, 242, 216, 958, 344, 693, 908, 434, 701, 113, 584, 10, 327, 139, 328, 310, 209, 119, 148, 274, 45, 3, 552, 101, 42, 407, 584, 895, 243, 569, 739, 686, 494, 362, 983, 551, 668, 113, 912, 21, 931, 239, 752, 192, 698, 334, 985, 178, 224, 399, 669, 311, 14, 195, 586, 239, 845, 704, 806, 575, 389, 908, 618, 594, 915, 553, 790, 243, 452, 76, 151, 938, 456, 173, 525, 353, 498, 143, 919, 586, 2, 94, 293, 81, 163, 696, 788, 456, 628, 735, 429, 989, 773, 761, 988, 553, 795, 735, 252, 390, 412, 296, 86, 429, 418, 381, 633, 35, 367, 435, 989, 361, 895, 194, 194, 922, 96}

    Returns: {0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0 }

  125. 1000

    {382, 529, 128, 70, 800, 90, 458, 968, 663, 674, 341, 719, 671, 701, 963, 275, 27, 943, 372, 583, 710, 633, 987, 580, 469, 446, 271, 41, 839, 652, 691, 804, 371, 405, 151, 329, 313, 378, 427, 528, 794, 319, 858, 202, 870, 494, 895, 837, 459, 956, 26, 128, 339, 821, 676, 360, 424, 757, 306, 38, 421, 607, 664, 185, 198, 877, 300, 900, 380, 901, 293, 483, 330, 514, 6, 468, 236, 119, 467, 919, 585, 846, 386, 691, 630, 896, 906, 102, 167, 46, 895, 346, 534, 52, 154, 332, 871, 515, 798, 287, 158, 216, 229, 684, 325, 633, 810, 204, 14, 953, 221, 421, 242, 954, 151, 733, 981, 266, 335, 213, 492, 485, 931, 880, 753, 271, 684, 610, 275, 440, 69, 653, 937, 7, 546, 471, 69, 456, 988, 80, 402, 643, 182, 55, 702, 369, 675, 496, 957, 825, 244, 952, 24, 350, 392, 999, 8, 673, 410, 134, 416, 828, 70, 775, 393, 871, 515, 926, 589, 481, 947, 413, 411, 627, 676, 470, 856, 165, 514, 541, 491, 819, 825, 119, 653, 1, 551, 376, 835, 492, 572, 347, 67, 19, 107, 666, 477, 369, 250, 868, 126, 142, 457, 150, 866, 292, 200, 6, 316, 955, 176, 583, 667, 400, 593, 457, 566, 160, 240, 723, 632, 681, 776, 165, 379, 472, 607, 376, 214, 288, 678, 669, 100, 449, 229, 184, 869, 434, 527, 47, 824, 298, 19, 717, 293, 590, 800, 629, 233, 644, 232, 164, 65, 880, 508, 183, 743, 566, 629, 339, 361, 457, 603, 717, 380, 762, 928, 651, 387, 862, 145, 837, 295, 118, 19, 698, 938, 656, 824, 411, 919, 383, 967, 435, 413, 916, 153, 390, 844, 652, 166, 227, 904, 668, 32, 461, 867, 122, 744, 501, 80, 945, 465, 402, 307, 623, 443, 280, 834, 917, 725, 656, 907, 292, 482, 160, 55, 869, 611, 134, 879, 471, 39, 336, 157, 209, 964, 502, 972, 35, 42, 785, 386, 114, 410, 744, 229, 287, 643, 511, 608, 346, 967, 573, 143, 396, 67, 322, 952, 187, 617, 944, 554, 750, 855, 797, 911, 438, 657, 32, 166, 539, 392, 94, 173, 413, 312, 654, 648, 280, 551, 306, 225, 729, 212, 744, 806, 743, 498, 29, 152, 485, 157, 227, 706, 647, 921, 869, 651, 923, 971, 662, 771, 420, 134, 30, 405, 320, 554, 236, 764, 770, 91, 805, 303, 376, 201, 728, 748, 182, 55, 515, 290, 87, 836, 349, 725, 886, 514, 15, 270, 640, 825, 94, 732, 736, 355, 81, 77, 316, 194, 32, 849, 549, 993, 990, 713, 588, 603, 821, 405, 911, 218, 963, 485, 291, 858, 45, 181, 589, 716, 583, 108, 881, 77, 244, 933, 893, 404, 502, 129, 281, 140, 275, 714, 520, 518, 92, 193, 448, 956, 129, 816, 57, 592, 609, 706, 39, 607, 114, 250, 628, 933, 907, 939, 263, 83, 698, 873, 546, 795, 339, 423, 732, 591, 949, 564, 211, 315, 117, 78, 320, 468, 968, 768, 499, 207, 979, 856, 830, 535, 779, 688, 957, 432, 166, 896, 531, 794, 425, 178, 656, 996, 813, 708, 881, 419, 745, 47, 356, 827, 789, 183, 330, 735, 799, 733, 628, 969, 299, 709, 7, 404, 498, 260, 612, 713, 534, 976, 915, 814, 248, 939, 911, 72, 666, 224, 663, 343, 317, 759, 649, 935, 271, 885, 532, 732, 921, 688, 331, 348, 218, 318, 802, 908, 553, 976, 793, 663, 535, 931, 570, 125, 562, 703, 10, 548, 782, 468, 493, 612, 850, 524, 592, 270, 949, 119, 619, 942, 181, 820, 823, 570, 85, 601, 558, 494, 314, 887, 951, 255, 27, 74, 615, 81, 529, 102, 86, 685, 106, 918, 681, 157, 296, 420, 350, 293, 610, 797, 67, 174, 855, 66, 734, 303, 839, 389, 161, 72, 877, 916, 448, 290, 372, 957, 395, 742, 137, 261, 715, 716, 865, 308, 970, 519, 729, 916, 924, 508, 277, 837, 634, 323, 519, 342, 635, 727, 148, 940, 142, 676, 530, 131, 627, 852, 401, 667, 735, 873, 201, 553, 474, 260, 684, 518, 48, 847, 92, 778, 390, 25, 146, 645, 532, 526, 736, 281, 611, 710, 460, 366, 160, 72, 631, 296, 520, 994, 16, 334, 150, 289, 883, 340, 300, 460, 63, 692, 345, 270, 87, 592, 928, 660, 610, 527, 968, 298, 350, 456, 699, 966, 29, 896, 724, 170, 260, 889, 482, 593, 982, 657, 699, 234, 547, 295, 519, 504, 242, 626, 31, 520, 6, 910, 739, 116, 524, 696, 680, 46, 185, 996, 108, 455, 719, 764, 197, 620, 565, 544, 500, 661, 985, 120, 959, 346, 328, 646, 661, 313, 757, 553, 390, 329, 517, 500, 768, 524, 93, 523, 138, 60, 297, 294, 970, 522, 456, 517, 961, 926, 415, 394, 389, 603, 805, 246, 105, 955, 829, 86, 355, 323, 650, 627, 488, 891, 113, 407, 227, 749, 978, 650, 124, 178, 843, 668, 506, 116, 539, 889, 786, 329, 401, 533, 681, 871, 364, 998, 175, 843, 154, 447, 506, 817, 368, 594, 503, 318, 100, 27, 878, 540, 18, 923, 425, 740, 536, 648, 13, 256, 203, 100, 281, 12, 585, 415, 523, 867, 192, 331, 861, 98, 496, 458, 402, 156, 556, 974, 906, 924, 618, 398, 971, 165, 658, 249, 503, 476, 502, 897, 821, 624, 727, 112, 705, 101, 193, 621, 126, 745, 860, 381, 591, 683, 956, 250, 429, 804, 629, 215, 328, 138, 604, 348, 886, 266, 803, 167, 728, 844, 200, 33, 247, 451, 581, 36, 120, 326, 243, 377, 215, 408, 807, 831, 336, 312, 851, 219, 921, 866, 759, 564, 58, 768, 643, 646, 924, 63, 528, 709, 758, 280, 87, 587, 567, 645, 572, 428, 190, 65, 476, 452, 202, 526, 885, 867, 799, 433, 392, 512, 703, 733, 411, 230, 877, 895, 379, 155, 178, 964, 505, 382, 45, 398, 373, 151, 218, 834, 669, 758, 724, 448, 106, 384, 296, 887, 848, 0, 433, 600, 659, 145, 17, 386, 735, 452, 783, 498, 925, 824, 490, 620, 35, 914, 193, 928, 369, 738, 975, 378, 242, 487, 660, 680, 593, 430, 623, 594, 472, 38, 522, 306, 202, 710, 31, 791, 870, 751, 393, 934, 205, 82, 66, 43, 808, 650, 881, 490, 176, 418, 497, 497, 433, 978, 945, 799, 563, 618, 934, 959, 981, 548, 274, 447, 107, 621, 262, 906, 10, 677, 408, 499, 449, 873, 976, 741, 286, 232, 716, 480, 702, 130, 985, 469, 967, 86, 885, 761, 79, 651, 765, 384, 473, 910, 38, 313, 948, 423, 925, 559, 739, 23, 126, 434, 974, 228, 866, 743, 802, 707, 992, 124, 649, 410, 18, 82, 987, 731, 780, 266, 707, 727, 251, 12, 990, 140, 834, 938, 960, 582, 748, 889, 140, 506, 496, 301, 790, 256, 860, 532, 15, 567, 360, 327, 533, 536, 795, 43, 581, 580, 640, 497, 75, 137, 63, 299, 669, 533, 183, 554, 308, 618, 857, 701, 993, 806, 76, 39, 66, 508, 835, 621, 8, 810, 57, 949, 708, 848, 92, 504, 199, 327, 233, 662, 26, 274, 185, 711, 420, 130, 937, 314, 149, 403, 996, 486, 181, 197, 16, 246, 384, 371, 76, 699, 782, 872, 972, 145, 864, 936, 624, 289, 635, 364, 695, 105, 847, 484, 440, 123, 705, 351, 675, 172, 451, 692, 944, 499, 864, 274, 340, 647, 706, 719, 188, 422, 773, 299, 609, 297, 385, 259, 686, 248, 490, 908, 766, 110, 786, 622, 751, 297, 153, 570, 94, 467, 605, 83, 135, 60, 415, 711, 249, 503, 707, 286, 752, 482, 363, 742, 547, 182, 388, 381, 757, 41, 495, 938, 997, 926, 105, 609, 647, 657, 591, 611, 975, 635, 631, 808, 645, 233, 847, 685, 752, 314, 678, 810, 367, 455, 852, 830, 452, 397, 30, 578, 432, 547, 893, 231, 803, 865, 781, 540, 631, 961, 223, 782, 808, 551, 343, 500, 982, 358, 858, 750, 295, 44, 790, 383, 997, 259, 622, 793, 478, 283, 428, 403, 946, 910, 953, 132, 254, 494, 736, 861, 400, 117, 576, 862, 708, 267, 205, 731, 581, 298, 851, 526, 79, 766, 474, 946, 0, 347, 660, 978, 300, 345, 977, 478, 471, 307, 972, 418, 920, 114, 98, 546, 356, 667, 81, 161, 801, 476, 289, 45, 127, 850, 486, 215, 428, 720, 31, 964, 848, 658, 142, 367, 292, 460, 925, 340, 761, 395, 391, 740, 701, 30, 223, 159, 450, 720, 232, 587, 544, 979, 659, 77, 806, 959, 939, 692, 71, 812, 400, 668, 149, 367, 574, 564, 883, 374, 74, 886, 36, 772, 680, 172, 560, 91, 990, 945, 228, 478, 998, 486, 843, 537, 47, 467, 803, 130, 562, 28, 830, 117, 932, 407, 977, 628, 801, 341, 840, 820, 942, 723, 91, 447, 360, 836, 861, 150, 198, 715, 8, 594, 750, 601, 336, 194, 345, 569, 897, 418, 709, 632, 234, 52, 230, 598, 46, 101, 612, 974, 721, 355, 538, 459, 731, 794, 969}

    {596, 833, 655, 365, 214, 818, 282, 7, 80, 518, 600, 383, 149, 521, 771, 437, 632, 4, 409, 900, 909, 746, 414, 639, 774, 561, 18, 827, 973, 816, 174, 777, 416, 505, 882, 224, 95, 569, 318, 690, 899, 359, 979, 1, 673, 566, 958, 188, 779, 778, 148, 9, 555, 905, 50, 385, 273, 783, 767, 277, 171, 143, 453, 315, 399, 778, 240, 809, 186, 997, 872, 759, 590, 252, 324, 334, 2, 243, 122, 73, 598, 343, 23, 196, 179, 328, 811, 191, 473, 511, 765, 461, 209, 417, 368, 754, 190, 263, 841, 155, 528, 459, 422, 470, 364, 272, 163, 68, 874, 626, 333, 210, 412, 248, 670, 441, 902, 715, 287, 963, 994, 642, 929, 913, 596, 152, 718, 548, 283, 954, 373, 929, 714, 513, 319, 446, 811, 37, 971, 712, 644, 636, 103, 563, 473, 507, 530, 391, 697, 71, 144, 377, 761, 11, 28, 49, 461, 153, 9, 638, 833, 586, 437, 180, 884, 128, 322, 335, 774, 802, 398, 239, 749, 431, 714, 269, 552, 737, 15, 65, 845, 962, 720, 983, 93, 312, 994, 760, 324, 894, 375, 783, 819, 697, 575, 841, 922, 342, 534, 898, 602, 316, 995, 16, 156, 129, 406, 5, 849, 767, 912, 601, 903, 747, 625, 382, 992, 282, 865, 789, 217, 836, 258, 904, 412, 788, 424, 483, 864, 365, 815, 466, 211, 718, 693, 245, 148, 726, 754, 890, 78, 20, 285, 310, 436, 189, 832, 475, 826, 892, 98, 907, 960, 17, 3, 73, 800, 531, 113, 888, 462, 596, 212, 192, 943, 309, 784, 487, 101, 212, 373, 421, 107, 177, 766, 695, 205, 771, 342, 487, 294, 162, 785, 338, 776, 734, 25, 187, 477, 940, 846, 796, 737, 773, 854, 451, 366, 97, 633, 568, 59, 751, 599, 321, 262, 422, 237, 573, 918, 347, 195, 788, 123, 683, 582, 616, 565, 26, 443, 231, 147, 137, 103, 163, 36, 545, 374, 599, 672, 14, 479, 913, 43, 356, 770, 272, 670, 141, 116, 993, 120, 989, 17, 931, 890, 472, 661, 702, 310, 930, 284, 427, 171, 615, 696, 264, 678, 124, 841, 792, 265, 511, 552, 462, 648, 89, 136, 758, 954, 653, 121, 755, 285, 24, 445, 565, 772, 214, 769, 159, 432, 558, 48, 671, 257, 588, 713, 203, 463, 273, 550, 763, 327, 158, 584, 827, 589, 479, 210, 507, 770, 9, 49, 479, 450, 305, 958, 288, 180, 465, 961, 167, 4, 878, 258, 238, 388, 756, 734, 95, 753, 573, 941, 608, 330, 219, 225, 580, 464, 600, 480, 781, 393, 62, 584, 353, 90, 577, 445, 982, 936, 58, 983, 788, 690, 980, 208, 171, 238, 505, 84, 99, 20, 354, 989, 136, 321, 68, 284, 0, 842, 82, 807, 728, 624, 568, 349, 630, 557, 125, 943, 368, 40, 556, 623, 542, 254, 279, 923, 453, 927, 878, 859, 439, 899, 176, 99, 261, 856, 474, 132, 694, 253, 189, 108, 892, 555, 235, 613, 941, 507, 42, 696, 513, 946, 389, 826, 394, 267, 288, 170, 348, 435, 285, 88, 41, 174, 169, 111, 132, 920, 396, 184, 995, 671, 29, 700, 351, 897, 664, 265, 489, 839, 575, 820, 677, 725, 876, 677, 854, 106, 700, 397, 870, 230, 104, 560, 927, 574, 362, 434, 173, 110, 815, 644, 24, 56, 712, 265, 139, 305, 491, 320, 88, 59, 537, 738, 822, 175, 863, 370, 893, 240, 438, 787, 777, 40, 477, 586, 817, 831, 862, 311, 374, 484, 429, 219, 913, 197, 99, 200, 654, 760, 670, 813, 321, 249, 426, 888, 161, 597, 331, 139, 64, 493, 642, 169, 673, 131, 241, 991, 361, 463, 509, 521, 147, 23, 54, 838, 268, 942, 258, 747, 992, 76, 115, 595, 358, 932, 221, 742, 253, 569, 579, 984, 721, 125, 349, 892, 4, 95, 981, 186, 169, 337, 605, 891, 446, 557, 291, 829, 427, 491, 111, 357, 840, 252, 412, 256, 449, 206, 226, 278, 935, 236, 969, 722, 442, 883, 538, 362, 850, 637, 658, 226, 898, 674, 363, 267, 146, 203, 453, 207, 269, 903, 747, 162, 484, 380, 53, 352, 572, 857, 844, 371, 133, 315, 522, 441, 481, 381, 686, 859, 96, 409, 308, 194, 344, 423, 772, 3, 40, 665, 875, 523, 780, 935, 509, 705, 304, 693, 123, 168, 689, 332, 965, 241, 567, 115, 85, 614, 354, 135, 426, 679, 34, 898, 52, 179, 235, 729, 763, 679, 822, 590, 42, 838, 726, 815, 146, 501, 10, 104, 775, 163, 483, 253, 649, 231, 613, 104, 756, 247, 512, 190, 576, 630, 746, 853, 588, 962, 749, 217, 441, 464, 891, 309, 221, 579, 544, 442, 325, 56, 822, 109, 247, 812, 640, 430, 495, 773, 429, 973, 899, 542, 857, 818, 563, 155, 790, 208, 311, 740, 357, 162, 606, 755, 955, 304, 337, 466, 362, 417, 516, 196, 475, 13, 789, 74, 84, 50, 481, 51, 416, 950, 244, 966, 584, 562, 988, 259, 687, 237, 239, 655, 53, 338, 998, 529, 21, 784, 301, 79, 842, 419, 559, 875, 905, 608, 12, 509, 904, 424, 950, 317, 109, 257, 730, 226, 804, 745, 13, 54, 853, 251, 438, 616, 310, 251, 493, 332, 414, 366, 859, 57, 748, 786, 303, 33, 525, 537, 516, 88, 582, 68, 682, 545, 103, 890, 351, 915, 577, 950, 753, 48, 698, 700, 64, 235, 277, 686, 951, 154, 186, 44, 5, 442, 527, 586, 196, 175, 246, 216, 20, 980, 286, 263, 365, 947, 245, 726, 436, 510, 863, 220, 462, 902, 983, 717, 59, 377, 395, 929, 636, 301, 626, 133, 90, 556, 812, 918, 851, 595, 614, 762, 814, 192, 642, 606, 49, 93, 54, 209, 37, 37, 765, 199, 655, 268, 927, 198, 144, 879, 828, 458, 762, 85, 908, 704, 179, 909, 543, 826, 290, 201, 814, 141, 307, 687, 774, 813, 188, 922, 984, 693, 204, 888, 665, 999, 619, 326, 541, 683, 372, 597, 338, 599, 662, 884, 71, 450, 444, 118, 637, 695, 585, 352, 919, 2, 801, 625, 874, 953, 399, 439, 622, 575, 305, 525, 379, 985, 779, 568, 703, 641, 882, 513, 213, 860, 454, 84, 136, 195, 375, 417, 769, 353, 538, 164, 333, 730, 724, 191, 14, 937, 291, 141, 322, 894, 89, 239, 64, 767, 617, 646, 272, 378, 439, 909, 326, 358, 177, 164, 738, 965, 571, 984, 5, 302, 780, 311, 269, 787, 711, 324, 930, 754, 755, 121, 912, 792, 463, 96, 880, 876, 712, 840, 170, 543, 375, 21, 912, 406, 718, 252, 3, 576, 721, 639, 180, 191, 763, 33, 516, 127, 739, 97, 641, 262, 409, 641, 845, 764, 152, 613, 561, 370, 952, 159, 223, 109, 276, 876, 284, 838, 555, 819, 606, 431, 156, 868, 605, 1, 561, 144, 863, 634, 470, 947, 579, 11, 679, 213, 454, 722, 112, 177, 276, 682, 831, 776, 944, 414, 408, 22, 278, 542, 973, 206, 501, 619, 11, 559, 638, 797, 158, 465, 426, 634, 741, 419, 989, 614, 775, 933, 723, 138, 625, 807, 323, 396, 672, 602, 777, 102, 407, 940, 558, 781, 915, 769, 489, 394, 406, 550, 903, 334, 932, 512, 842, 147, 690, 602, 752, 455, 34, 811, 122, 96, 50, 852, 309, 187, 399, 268, 604, 620, 173, 784, 995, 905, 654, 854, 464, 357, 875, 902, 832, 118, 199, 536, 440, 704, 206, 882, 795, 792, 237, 835, 234, 56, 282, 254, 61, 28, 337, 970, 550, 78, 617, 741, 352, 317, 217, 97, 685, 809, 691, 112, 823, 574, 204, 521, 51, 53, 444, 431, 887, 135, 818, 279, 195, 616, 917, 222, 688, 333, 110, 61, 960, 443, 577, 798, 241, 454, 760, 302, 469, 35, 115, 34, 704, 578, 785, 25, 914, 636, 208, 436, 948, 70, 557, 353, 222, 504, 737, 560, 243, 638, 325, 75, 172, 127, 936, 746, 920, 444, 224, 894, 222, 722, 211, 977, 549, 228, 189, 587, 276, 604, 111, 874, 2, 922, 363, 437, 466, 549, 595, 245, 58, 60, 257, 531, 689, 900, 387, 991, 855, 139, 489, 552, 962, 168, 823, 756, 914, 833, 385, 225, 319, 872, 279, 598, 370, 829, 75, 540, 133, 597, 391, 571, 207, 480, 51, 359, 113, 664, 359, 238, 639, 674, 61, 44, 948, 210, 986, 999, 988, 828, 665, 255, 958, 401, 435, 791, 849, 403, 21, 430, 294, 278, 798, 578, 987, 445, 682, 846, 571, 354, 69, 991, 475, 545, 917, 62, 255, 510, 264, 388, 901, 805, 941, 975, 220, 425, 796, 62, 652, 694, 816, 687, 543, 951, 387, 264, 845, 22, 517, 675, 404, 397, 615, 131, 495, 488, 879, 793, 143, 832, 930, 22, 868, 787, 283, 659, 344, 730, 689, 304, 335, 884, 666, 637, 694, 796, 530, 934, 535, 89, 83, 344, 261, 980, 510, 965, 986, 809, 966, 121, 986, 525, 273, 492, 541, 361, 817, 791, 672, 853, 539, 220, 184, 488, 73, 697, 341, 168, 216, 901, 302}

    Returns: {1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1 }

  126. 996

    {146, 577, 639, 685, 118, 342, 936, 47, 476, 981, 470, 333, 687, 770, 34, 676, 811, 513, 577, 46, 393, 221, 974, 555, 955, 450, 817, 665, 159, 547, 401, 992, 931, 825, 365, 717, 880, 640, 442, 620, 582, 855, 687, 528, 716, 962, 192, 601, 896, 86, 16, 284, 743, 295, 463, 787, 592, 611, 94, 475, 379, 130, 881, 590, 9, 783, 699, 478, 931, 134, 351, 523, 466, 565, 46, 573, 977, 596, 542, 53, 120, 163, 149, 806, 476, 213, 216, 87, 739, 959, 686, 580, 840, 590, 927, 869, 353, 596, 930, 267, 571, 561, 167, 427, 831, 135, 674, 624, 926, 834, 114, 532, 676, 641, 155, 304, 642, 919, 122, 704, 542, 126, 178, 507, 906, 988, 883, 953, 965, 759, 478, 580, 19, 576, 485, 153, 234, 743, 251, 782, 518, 939, 644, 771, 184, 428, 396, 839, 483, 760, 599, 43, 209, 76, 105, 654, 38, 322, 15, 548, 774, 732, 587, 692, 533, 976, 160, 244, 134, 543, 702, 312, 513, 896, 938, 100, 785, 932, 990, 401, 156, 298, 394, 14, 251, 115, 50, 689, 693, 922, 861, 976, 579, 353, 134, 807, 887, 74, 880, 373, 97, 390, 930, 238, 538, 628, 490, 336, 644, 142, 237, 844, 733, 440, 910, 397, 401, 321, 836, 424, 710, 25, 457, 815, 7, 297, 986, 475, 226, 861, 727, 371, 857, 491, 198, 948, 185, 660, 363, 841, 438, 488, 841, 212, 648, 673, 568, 649, 52, 726, 403, 888, 502, 457, 183, 222, 276, 676, 608, 546, 386, 774, 839, 437, 882, 451, 992, 103, 889, 868, 562, 926, 539, 969, 229, 213, 340, 571, 335, 835, 332, 901, 372, 637, 637, 203, 293, 207, 783, 22, 113, 690, 326, 982, 551, 295, 149, 438, 388, 780, 416, 95, 129, 118, 886, 572, 603, 458, 492, 734, 219, 868, 362, 687, 983, 79, 333, 513, 278, 986, 936, 157, 295, 815, 445, 903, 878, 430, 438, 669, 191, 497, 531, 2, 747, 50, 35, 349, 740, 389, 68, 205, 625, 946, 97, 237, 897, 843, 595, 312, 303, 263, 180, 120, 664, 917, 261, 558, 638, 607, 390, 763, 447, 829, 390, 796, 494, 507, 709, 516, 879, 563, 305, 935, 358, 29, 413, 871, 498, 714, 762, 367, 167, 633, 810, 275, 940, 496, 645, 386, 82, 769, 499, 830, 749, 532, 820, 460, 113, 605, 525, 789, 785, 507, 328, 595, 925, 56, 31, 177, 51, 845, 99, 753, 294, 234, 685, 658, 37, 85, 670, 382, 354, 393, 362, 643, 109, 184, 324, 502, 621, 634, 334, 633, 16, 620, 544, 397, 224, 291, 27, 882, 222, 147, 389, 633, 318, 751, 819, 501, 284, 957, 932, 253, 288, 176, 612, 797, 525, 315, 952, 180, 673, 454, 745, 27, 697, 680, 651, 97, 320, 750, 586, 77, 844, 261, 555, 245, 870, 508, 57, 319, 16, 823, 732, 682, 363, 130, 451, 711, 408, 935, 420, 411, 541, 210, 243, 562, 38, 141, 60, 39, 258, 330, 453, 672, 22, 800, 649, 10, 516, 796, 294, 494, 635, 175, 339, 156, 635, 417, 937, 962, 103, 149, 464, 13, 719, 486, 239, 184, 203, 342, 153, 576, 980, 964, 351, 499, 901, 299, 228, 78, 186, 92, 34, 181, 301, 459, 57, 575, 336, 871, 483, 459, 789, 724, 797, 315, 941, 215, 431, 544, 303, 2, 634, 249, 851, 872, 506, 122, 308, 711, 743, 652, 267, 822, 102, 278, 132, 235, 723, 328, 104, 362, 235, 361, 449, 202, 166, 422, 920, 662, 517, 566, 989, 258, 781, 501, 70, 279, 607, 842, 714, 598, 982, 581, 936, 636, 63, 504, 302, 901, 922, 922, 897, 69, 725, 576, 189, 40, 14, 525, 646, 206, 277, 238, 939, 161, 721, 745, 52, 615, 299, 981, 239, 786, 574, 222, 70, 155, 858, 844, 93, 496, 205, 601, 792, 704, 324, 420, 573, 470, 59, 953, 896, 927, 21, 726, 797, 20, 788, 949, 437, 612, 199, 492, 231, 709, 88, 6, 337, 153, 96, 7, 837, 100, 176, 463, 732, 496, 429, 450, 147, 558, 870, 163, 19, 556, 758, 778, 565, 885, 208, 13, 767, 506, 711, 66, 774, 512, 106, 45, 736, 702, 365, 41, 310, 573, 395, 646, 115, 782, 266, 180, 150, 668, 138, 783, 147, 455, 660, 382, 144, 769, 125, 854, 376, 855, 177, 937, 204, 823, 704, 628, 462, 256, 600, 216, 188, 93, 969, 868, 636, 671, 785, 160, 148, 536, 593, 256, 805, 771, 120, 96, 773, 215, 268, 315, 457, 250, 791, 712, 231, 650, 894, 336, 117, 485, 879, 320, 651, 552, 667, 588, 33, 840, 674, 962, 452, 77, 204, 821, 181, 960, 804, 760, 558, 216, 371, 725, 288, 517, 275, 982, 95, 769, 865, 257, 781, 697, 440, 230, 551, 320, 587, 99, 971, 308, 842, 505, 822, 405, 220, 533, 710, 332, 646, 74, 171, 379, 910, 662, 899, 69, 333, 899, 770, 943, 615, 939, 116, 530, 879, 439, 875, 914, 342, 276, 789, 175, 136, 615, 674, 74, 926, 58, 99, 247, 73, 453, 697, 604, 445, 209, 638, 630, 839, 731, 885, 641, 471, 279, 752, 670, 205, 12, 546, 305, 519, 845, 537, 532, 19, 6, 639, 660, 947, 27, 71, 152, 553, 712, 881, 462, 565, 846, 758, 87, 707, 94, 126, 801, 381, 56, 917, 733, 840, 872, 194, 645, 210, 958, 562, 961, 831, 694, 75, 404, 384, 940, 588, 178, 689, 135, 750, 283, 323, 80, 148, 739, 990, 927, 641, 973, 449, 444, 256, 734, 283, 536, 283, 418, 367, 945, 355, 499, 698, 535, 325, 652, 109, 359, 684, 38, 608, 584, 465, 501, 198, 72, 257, 905, 176, 314, 66, 428, 125, 277, 312, 298, 201, 449, 671, 696, 116, 413, 56, 212, 473, 941, 737, 591, 163, 630, 919, 18, 630, 335, 102, 41, 171, 786, 229, 798, 852, 640, 518, 193, 583, 145, 597, 924, 132, 287, 777, 914, 753, 991, 883, 656, 533, 297, 973, 784, 122, 181, 856, 189, 912, 100, 231, 979, 644, 866, 93, 943, 707, 206, 920, 650, 586, 668, 8, 57, 78, 325, 869, 734, 989, 414, 414, 434, 247, 613, 91, 77, 43, 244, 806, 143, 304, 343, 142, 329, 252, 545, 857, 788, 135, 950, 39, 228, 799, 814, 365, 684, 830, 741, 494, 26, 504, 262, 754, 282, 72, 129, 772, 185, 220, 301, 586, 189, 441, 835, 363, 731, 159, 133, 85, 802, 681, 858, 2, 498, 105, 520, 185, 651, 226, 3, 327, 775, 454, 92, 607, 520, 472, 240, 547, 440, 427, 964, 925, 800, 718, 523, 389, 466, 314, 812, 948, 523, 530, 995, 578, 152, 977, 606, 456, 869, 545, 561, 890, 89, 710, 40, 54, 679, 836, 329, 490, 526, 167, 325, 700, 601, 881, 572, 632, 323, 482, 536, 81, 395, 269, 119, 611, 356, 727, 551, 377, 35, 15, 733, 294, 354, 40, 764, 811, 428, 53, 871, 35, 729, 721, 597, 728, 491, 629, 899, 773, 684, 279, 726, 197, 628, 119, 251, 851, 672, 963, 791, 307, 966, 858, 209, 460, 874, 113, 629, 963, 590, 253, 237, 735, 360, 561, 543, 938, 143, 884, 966, 166, 564, 990, 475, 693, 694, 712, 201, 834, 640, 179, 645, 603, 535, 9, 463, 355, 423, 845, 835, 285, 288, 608, 71, 662, 750, 152, 812, 671, 8, 961, 941, 515, 359, 717, 992, 289, 559, 300, 995, 949, 407, 777, 343, 314, 384, 130, 838, 553, 0, 895, 335, 770, 37, 826, 14, 816, 541, 264, 23, 48, 978, 741, 921, 89, 68, 207, 796, 993, 275, 480, 714, 232, 841, 808, 686, 617, 729, 900, 588, 430, 508, 379, 637, 361, 792, 236, 948, 816, 820, 271, 326, 454, 652, 146, 318, 110, 223, 842, 742, 301, 958, 281, 826, 105, 170, 20, 170, 230, 812, 432, 589, 757, 289, 343, 64, 782, 540, 979, 963, 613, 360, 779, 3, 54, 805, 634, 212, 488, 394, 229, 830, 155, 880, 68, 664, 989, 957, 836, 584, 220, 271, 988, 80, 318, 682, 327, 96, 223, 485, 921, 309, 855, 773, 42, 416, 487, 129, 935, 441, 703, 913, 487, 270, 112, 79, 958, 506, 51, 250, 991, 227, 480, 161, 226, 781, 800, 718, 988, 297, 39, 604, 875, 159, 270, 392, 281, 492, 699, 79, 361, 550, 595, 689, 102, 331, 311, 437, 439, 883, 965, 575, 358, 917, 969, 541, 891, 82, 291, 526, 378, 874, 597, 75, 721, 828, 613, 430, 34, 970, 890, 950, 744, 528, 436, 919, 515, 976, 550, 611, 953, 566, 385, 764, 160, 53, 456, 539, 403, 103, 572, 242, 248, 247, 698, 559, 515, 968, 453, 737, 73, 986, 571, 854, 92, 668, 852, 577, 722, 559, 981, 621, 970, 779, 539, 403, 28, 293, 617, 516, 666, 530, 399, 407, 910, 253, 563, 139, 833, 639, 950, 41, 359, 693, 277, 323, 834, 966, 399, 747, 807, 240}

    {217, 467, 168, 110, 669, 263, 3, 328, 387, 55, 128, 285, 228, 803, 818, 47, 448, 225, 984, 202, 569, 766, 204, 194, 909, 929, 529, 358, 956, 245, 621, 736, 906, 811, 408, 821, 373, 62, 203, 88, 140, 985, 55, 975, 920, 11, 965, 624, 248, 826, 695, 616, 446, 886, 331, 89, 951, 162, 626, 156, 116, 370, 17, 161, 410, 915, 663, 337, 956, 304, 642, 605, 375, 724, 49, 452, 918, 755, 104, 761, 249, 372, 268, 154, 357, 591, 631, 804, 749, 867, 173, 891, 207, 444, 942, 648, 683, 188, 165, 479, 618, 123, 599, 500, 514, 557, 245, 892, 519, 259, 594, 627, 567, 592, 104, 877, 450, 521, 164, 975, 423, 435, 967, 339, 659, 873, 722, 477, 12, 510, 350, 500, 905, 742, 564, 980, 406, 407, 698, 994, 738, 968, 708, 364, 199, 467, 351, 647, 719, 23, 267, 217, 0, 557, 368, 441, 81, 938, 810, 745, 860, 993, 658, 261, 794, 44, 106, 856, 12, 892, 663, 766, 933, 286, 625, 137, 292, 421, 28, 690, 602, 589, 895, 802, 540, 286, 112, 862, 98, 62, 703, 349, 806, 262, 192, 208, 791, 921, 817, 852, 431, 374, 434, 754, 738, 402, 307, 218, 317, 211, 867, 357, 550, 127, 610, 186, 719, 610, 534, 902, 445, 688, 280, 793, 667, 338, 555, 849, 90, 934, 58, 978, 972, 878, 913, 388, 994, 6, 274, 313, 416, 196, 859, 346, 739, 952, 87, 866, 419, 850, 549, 230, 772, 400, 686, 264, 383, 330, 807, 819, 83, 95, 439, 691, 127, 432, 707, 556, 490, 242, 268, 888, 101, 564, 548, 778, 653, 794, 632, 472, 26, 272, 125, 821, 717, 150, 908, 193, 59, 306, 345, 483, 90, 352, 266, 891, 364, 287, 46, 603, 287, 983, 916, 200, 500, 4, 61, 957, 78, 107, 5, 874, 666, 833, 860, 503, 291, 666, 974, 255, 744, 329, 580, 374, 195, 271, 30, 600, 756, 200, 11, 647, 196, 473, 912, 975, 354, 942, 816, 945, 233, 199, 466, 664, 303, 413, 76, 476, 144, 338, 431, 514, 762, 730, 510, 930, 29, 723, 443, 412, 793, 415, 911, 994, 865, 761, 857, 418, 316, 706, 665, 847, 63, 598, 837, 326, 959, 681, 902, 455, 355, 889, 479, 84, 758, 600, 145, 377, 560, 252, 755, 259, 391, 526, 108, 195, 776, 219, 655, 524, 527, 650, 254, 217, 330, 200, 968, 885, 36, 648, 221, 191, 863, 433, 531, 11, 599, 399, 45, 471, 876, 452, 701, 265, 225, 779, 942, 433, 202, 720, 690, 331, 419, 851, 305, 756, 344, 356, 776, 164, 911, 915, 317, 763, 461, 111, 443, 22, 284, 128, 838, 157, 432, 480, 194, 949, 346, 504, 872, 4, 777, 302, 380, 793, 511, 60, 814, 932, 460, 902, 801, 703, 720, 952, 387, 90, 255, 238, 959, 911, 813, 190, 619, 665, 188, 497, 346, 904, 680, 606, 353, 961, 408, 612, 248, 246, 502, 364, 818, 366, 508, 985, 316, 964, 63, 179, 631, 307, 300, 875, 768, 151, 827, 139, 376, 808, 146, 814, 848, 925, 372, 191, 276, 24, 788, 415, 677, 678, 730, 489, 392, 831, 117, 84, 215, 47, 929, 951, 694, 31, 426, 864, 8, 306, 81, 827, 680, 442, 524, 219, 187, 670, 677, 150, 589, 425, 903, 655, 767, 117, 498, 767, 424, 18, 178, 239, 742, 527, 484, 285, 538, 658, 716, 32, 110, 980, 725, 425, 866, 728, 890, 567, 142, 933, 776, 537, 521, 49, 626, 50, 696, 232, 366, 169, 972, 473, 386, 213, 107, 527, 168, 254, 847, 854, 570, 893, 790, 657, 619, 903, 468, 802, 394, 928, 137, 907, 593, 111, 357, 469, 341, 25, 340, 653, 635, 609, 417, 444, 768, 894, 334, 610, 746, 426, 828, 809, 803, 708, 436, 211, 728, 843, 659, 172, 753, 495, 186, 112, 388, 683, 175, 591, 882, 863, 398, 44, 170, 643, 227, 511, 761, 900, 471, 274, 433, 549, 352, 18, 756, 309, 350, 822, 319, 934, 823, 897, 578, 967, 596, 701, 549, 396, 747, 679, 867, 937, 729, 383, 705, 470, 974, 400, 201, 763, 289, 252, 587, 197, 503, 790, 265, 352, 474, 136, 262, 106, 240, 808, 447, 281, 398, 829, 509, 584, 73, 923, 1, 127, 912, 563, 309, 65, 118, 162, 114, 581, 898, 9, 749, 114, 425, 824, 422, 292, 243, 978, 809, 751, 82, 931, 182, 757, 888, 187, 402, 265, 787, 376, 52, 371, 862, 24, 828, 443, 904, 347, 771, 345, 381, 182, 884, 214, 570, 713, 511, 404, 347, 182, 824, 909, 5, 916, 934, 101, 298, 193, 547, 406, 65, 380, 724, 940, 531, 66, 853, 614, 273, 306, 366, 334, 348, 141, 786, 37, 503, 131, 374, 522, 484, 602, 915, 657, 522, 604, 241, 477, 206, 738, 292, 908, 347, 397, 616, 618, 195, 534, 971, 461, 373, 64, 321, 741, 746, 757, 795, 31, 554, 409, 977, 260, 64, 179, 837, 482, 458, 960, 481, 311, 33, 65, 663, 918, 609, 290, 657, 158, 98, 36, 442, 695, 849, 801, 627, 614, 190, 15, 482, 618, 381, 951, 691, 688, 119, 48, 489, 877, 838, 695, 636, 406, 169, 656, 183, 435, 412, 798, 715, 395, 723, 448, 955, 736, 370, 720, 278, 705, 846, 853, 214, 465, 798, 553, 280, 280, 434, 946, 350, 688, 348, 85, 818, 623, 24, 598, 481, 272, 512, 218, 678, 493, 780, 124, 378, 137, 861, 534, 375, 556, 924, 108, 465, 349, 391, 787, 154, 293, 141, 368, 174, 848, 332, 43, 67, 290, 302, 360, 856, 775, 54, 643, 44, 396, 158, 246, 208, 468, 626, 778, 740, 0, 509, 173, 900, 481, 310, 765, 594, 848, 51, 713, 138, 579, 327, 446, 486, 282, 400, 411, 316, 236, 86, 128, 594, 810, 154, 258, 846, 699, 419, 569, 529, 622, 894, 435, 529, 895, 472, 478, 233, 493, 675, 973, 700, 620, 385, 310, 489, 225, 520, 627, 42, 221, 133, 410, 795, 196, 832, 387, 13, 557, 45, 260, 264, 223, 956, 916, 474, 340, 446, 33, 772, 862, 356, 764, 429, 369, 177, 70, 954, 661, 578, 970, 746, 574, 585, 385, 339, 832, 521, 585, 192, 495, 423, 10, 484, 947, 954, 151, 76, 409, 784, 55, 165, 849, 420, 775, 140, 232, 954, 174, 987, 683, 609, 870, 23, 409, 462, 487, 819, 421, 243, 843, 825, 518, 411, 794, 659, 148, 560, 341, 876, 224, 709, 424, 436, 947, 944, 269, 29, 744, 187, 727, 865, 631, 873, 722, 308, 960, 754, 59, 886, 567, 260, 889, 708, 813, 290, 322, 514, 522, 324, 524, 585, 884, 661, 654, 321, 241, 144, 108, 715, 706, 679, 133, 656, 887, 735, 71, 26, 458, 67, 296, 685, 21, 649, 892, 904, 655, 702, 322, 682, 898, 210, 60, 575, 847, 259, 792, 158, 509, 172, 377, 705, 759, 488, 172, 995, 605, 654, 984, 151, 48, 701, 183, 706, 740, 820, 30, 574, 36, 370, 535, 25, 32, 914, 254, 455, 832, 84, 91, 140, 469, 67, 748, 235, 72, 269, 242, 4, 554, 296, 908, 568, 282, 369, 391, 768, 495, 375, 91, 469, 313, 28, 121, 166, 602, 863, 341, 474, 1, 162, 928, 143, 691, 101, 58, 985, 124, 468, 211, 234, 538, 164, 255, 138, 273, 878, 667, 825, 266, 404, 405, 581, 344, 984, 642, 145, 214, 236, 859, 132, 887, 661, 716, 380, 624, 263, 486, 17, 616, 909, 760, 62, 136, 629, 570, 583, 272, 913, 398, 718, 614, 617, 517, 30, 461, 924, 86, 337, 464, 755, 622, 568, 752, 491, 748, 382, 905, 876, 173, 414, 61, 809, 447, 678, 493, 169, 405, 544, 49, 675, 224, 987, 692, 815, 850, 418, 638, 479, 700, 402, 111, 451, 537, 653, 233, 107, 369, 548, 735, 519, 257, 421, 713, 907, 344, 543, 384, 944, 244, 417, 582, 803, 592, 850, 512, 21, 923, 967, 274, 827, 928, 20, 296, 542, 171, 737, 759, 139, 10, 174, 762, 546, 227, 168, 383, 319, 647, 218, 190, 300, 121, 945, 126, 784, 17, 731, 88, 944, 552, 893, 448, 7, 675, 829, 730, 528, 860, 566, 83, 338, 121, 933, 987, 804, 505, 692, 83, 367, 317, 412, 766, 410, 955, 157, 906, 249, 459, 971, 864, 632, 983, 623, 510, 456, 805, 593, 124, 80, 560, 497, 715, 877, 5, 824, 799, 250, 115, 427, 993, 795, 582, 923, 907, 198, 790, 123, 270, 554, 622, 246, 165, 273, 552, 75, 422, 368, 579, 765, 109, 946, 131, 98, 623, 673, 813, 569, 464, 669, 780, 864, 311, 345, 69, 286, 299, 540, 748, 467, 979, 619, 583, 392, 348, 42, 893, 751, 378, 817, 765, 545, 313, 833, 677, 799, 32, 61, 429, 94, 505, 681, 123, 991, 672, 241, 696, 918, 853, 752, 972, 426, 873, 943, 393, 929, 477, 898, 625, 131, 859, 606, 415, 1, 197}

    Returns: {1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1 }

  127. 996

    {577, 620, 913, 494, 180, 68, 173, 743, 656, 602, 156, 417, 57, 394, 91, 450, 757, 981, 793, 45, 417, 7, 239, 628, 815, 144, 252, 700, 319, 389, 968, 222, 287, 754, 818, 587, 811, 43, 259, 145, 125, 951, 411, 461, 535, 697, 475, 489, 809, 390, 893, 897, 992, 379, 863, 498, 690, 762, 818, 761, 179, 674, 331, 811, 826, 414, 615, 490, 809, 676, 160, 842, 797, 713, 654, 685, 895, 595, 492, 402, 60, 26, 172, 328, 311, 4, 102, 503, 871, 256, 806, 289, 859, 288, 265, 423, 769, 113, 796, 744, 741, 948, 583, 42, 737, 637, 22, 99, 243, 149, 251, 717, 798, 853, 946, 443, 581, 418, 141, 523, 393, 171, 335, 93, 42, 208, 397, 509, 491, 516, 256, 739, 199, 590, 993, 719, 510, 562, 378, 52, 688, 517, 13, 74, 357, 915, 645, 427, 460, 687, 436, 52, 404, 57, 546, 720, 591, 36, 98, 320, 407, 29, 591, 609, 791, 740, 581, 863, 25, 48, 33, 311, 516, 901, 94, 225, 313, 859, 950, 265, 354, 323, 735, 47, 800, 465, 589, 336, 719, 710, 409, 50, 553, 573, 237, 450, 434, 500, 567, 229, 718, 931, 235, 10, 918, 644, 774, 888, 253, 401, 559, 918, 658, 242, 278, 743, 267, 41, 649, 743, 873, 319, 947, 303, 751, 140, 975, 868, 533, 597, 964, 778, 970, 312, 189, 886, 477, 846, 242, 603, 789, 855, 957, 548, 977, 456, 902, 260, 536, 397, 901, 526, 465, 941, 633, 941, 698, 114, 124, 655, 987, 540, 320, 107, 569, 195, 620, 857, 106, 464, 862, 179, 751, 828, 228, 785, 176, 960, 939, 275, 824, 118, 668, 985, 916, 153, 21, 984, 973, 921, 843, 228, 631, 329, 333, 189, 395, 745, 98, 119, 442, 337, 406, 330, 875, 351, 814, 559, 685, 199, 782, 154, 772, 82, 333, 89, 712, 797, 430, 295, 218, 844, 92, 610, 854, 938, 816, 465, 111, 705, 196, 470, 738, 452, 993, 965, 29, 399, 146, 323, 37, 352, 72, 634, 169, 306, 694, 912, 642, 432, 209, 63, 541, 766, 873, 930, 153, 619, 437, 567, 701, 734, 551, 27, 302, 391, 696, 891, 923, 557, 238, 856, 455, 120, 427, 416, 619, 137, 392, 917, 778, 932, 681, 470, 893, 166, 837, 4, 846, 562, 985, 714, 23, 640, 839, 725, 135, 539, 832, 761, 804, 310, 146, 27, 531, 387, 135, 538, 809, 678, 91, 92, 142, 521, 673, 319, 378, 111, 624, 224, 151, 593, 476, 226, 543, 372, 5, 258, 921, 439, 68, 156, 385, 614, 159, 908, 274, 533, 574, 262, 133, 337, 342, 364, 538, 420, 312, 49, 335, 810, 400, 689, 880, 553, 111, 542, 782, 443, 337, 622, 154, 540, 3, 828, 109, 690, 818, 951, 963, 464, 343, 145, 81, 495, 594, 930, 680, 510, 33, 183, 125, 377, 34, 917, 760, 358, 542, 187, 976, 880, 813, 817, 224, 910, 324, 663, 627, 305, 343, 244, 908, 661, 328, 116, 623, 799, 418, 348, 281, 262, 575, 650, 473, 359, 739, 568, 874, 244, 611, 239, 568, 460, 411, 256, 343, 274, 102, 651, 473, 989, 974, 138, 828, 19, 648, 878, 897, 575, 786, 650, 174, 109, 707, 289, 276, 583, 112, 348, 730, 72, 526, 414, 384, 502, 917, 598, 967, 882, 651, 594, 756, 297, 759, 585, 763, 314, 987, 830, 602, 16, 958, 812, 670, 618, 545, 989, 863, 746, 393, 503, 925, 382, 310, 891, 716, 839, 129, 325, 80, 914, 836, 89, 893, 445, 640, 686, 325, 53, 572, 728, 798, 326, 227, 400, 548, 974, 497, 250, 40, 732, 729, 639, 578, 54, 519, 106, 929, 398, 164, 21, 367, 736, 605, 308, 464, 631, 904, 477, 121, 158, 592, 948, 486, 254, 665, 449, 706, 879, 314, 215, 428, 52, 726, 375, 672, 302, 707, 945, 676, 557, 745, 89, 683, 643, 858, 459, 79, 285, 12, 967, 403, 87, 243, 791, 730, 486, 46, 271, 756, 105, 952, 502, 524, 992, 322, 440, 968, 340, 904, 700, 301, 85, 675, 388, 606, 669, 511, 991, 580, 200, 47, 279, 640, 127, 577, 383, 491, 848, 873, 145, 350, 179, 398, 79, 867, 91, 726, 575, 113, 702, 300, 221, 614, 767, 163, 688, 332, 33, 937, 843, 587, 810, 6, 527, 16, 39, 546, 726, 187, 259, 37, 678, 777, 32, 357, 350, 813, 163, 704, 54, 449, 529, 889, 964, 777, 380, 471, 458, 668, 976, 920, 86, 965, 930, 539, 322, 408, 129, 696, 494, 394, 74, 735, 680, 775, 779, 622, 870, 262, 714, 947, 125, 673, 776, 993, 876, 323, 249, 842, 181, 450, 857, 786, 626, 601, 286, 162, 945, 585, 804, 590, 923, 404, 224, 391, 552, 248, 252, 203, 943, 339, 857, 785, 855, 800, 646, 306, 21, 622, 921, 563, 162, 103, 975, 491, 275, 444, 379, 263, 701, 164, 994, 839, 458, 253, 937, 50, 47, 103, 94, 299, 847, 401, 536, 802, 477, 767, 605, 22, 447, 619, 701, 387, 567, 922, 487, 372, 392, 381, 446, 517, 282, 623, 138, 255, 771, 960, 510, 741, 23, 28, 36, 576, 49, 176, 803, 674, 687, 951, 1, 460, 252, 166, 485, 654, 632, 586, 17, 563, 231, 966, 647, 136, 190, 690, 624, 468, 631, 955, 725, 184, 642, 533, 159, 440, 910, 227, 906, 833, 188, 273, 571, 195, 436, 519, 711, 196, 206, 281, 616, 852, 758, 44, 720, 433, 38, 367, 750, 729, 169, 711, 496, 498, 536, 862, 695, 211, 209, 758, 826, 37, 475, 441, 634, 554, 188, 43, 358, 395, 433, 785, 129, 100, 424, 908, 309, 938, 682, 487, 296, 907, 558, 395, 263, 201, 910, 260, 525, 728, 286, 392, 468, 333, 353, 918, 900, 494, 932, 563, 499, 28, 109, 389, 58, 48, 440, 525, 463, 68, 260, 633, 177, 131, 479, 853, 279, 578, 702, 402, 977, 432, 432, 595, 419, 131, 518, 689, 43, 749, 155, 595, 944, 175, 7, 682, 992, 146, 584, 216, 706, 978, 130, 532, 144, 444, 101, 421, 402, 603, 698, 442, 28, 208, 11, 407, 275, 705, 214, 484, 85, 327, 914, 692, 306, 26, 925, 76, 112, 251, 132, 223, 719, 143, 428, 705, 81, 665, 60, 113, 377, 130, 991, 437, 416, 878, 473, 122, 984, 303, 597, 985, 883, 308, 831, 642, 469, 457, 887, 982, 305, 1, 660, 805, 803, 45, 853, 607, 632, 727, 289, 841, 147, 398, 469, 8, 819, 587, 509, 263, 938, 742, 600, 815, 429, 606, 479, 496, 331, 202, 100, 69, 656, 140, 786, 540, 49, 121, 880, 175, 568, 329, 736, 183, 300, 238, 824, 246, 64, 527, 793, 900, 12, 321, 320, 332, 840, 151, 227, 177, 456, 122, 776, 760, 399, 966, 708, 738, 272, 610, 107, 825, 48, 537, 694, 421, 367, 869, 472, 747, 513, 14, 791, 819, 617, 712, 483, 511, 688, 454, 188, 848, 186, 84, 868, 419, 67, 675, 805, 127, 795, 826, 837, 559, 611, 481, 847, 94, 716, 592, 814, 868, 393, 87, 71, 135, 775, 738, 569, 793, 800, 215, 382, 60, 300, 62, 797, 632, 673, 931, 915, 103, 110, 678, 777, 714, 99, 457, 754, 246, 308, 717, 181, 421, 429, 76, 666, 802, 62, 504, 806, 467, 901, 730, 691, 369, 747, 773, 608, 32, 171, 670, 387, 92, 403, 720, 766, 840, 99, 360, 944, 105, 837, 803, 246, 412, 249, 201, 176, 336, 681, 578, 509, 234, 137, 503, 581, 380, 493, 649, 73, 524, 982, 126, 769, 932, 469, 423, 25, 443, 311, 11, 590, 531, 39, 120, 406, 830, 665, 122, 439, 698, 557, 267, 189, 4, 85, 958, 695, 206, 615, 518, 713, 774, 250, 548, 767, 163, 136, 425, 485, 362, 914, 934, 538, 278, 584, 916, 747, 435, 360, 676, 565, 307, 354, 488, 732, 643, 968, 127, 569, 603, 288, 864, 425, 186, 120, 965, 61, 317, 202, 273, 766, 744, 7, 765, 950, 967, 143, 480, 471, 105, 654, 574, 270, 789, 84, 990, 266, 953, 740, 580, 830, 223, 745, 186, 599, 845, 962, 707, 130, 38, 78, 770, 316, 736, 655, 278, 923, 511, 372, 648, 685, 641, 408, 104, 360, 233, 161, 773, 187, 305, 847, 648, 527, 182, 623, 668, 957, 114, 207, 966, 679, 855, 15, 161, 734, 404, 204, 64, 729, 802, 537, 696, 827, 700, 336, 771, 373, 576, 166, 22, 412, 442, 894, 974, 433, 824, 173, 627, 496, 181, 447, 200, 670, 169, 55, 689, 482, 602, 444, 23, 470, 466, 144, 806, 621, 799, 115, 274, 119, 773, 647, 157, 39, 35, 466, 482, 138, 846, 532, 716, 467, 435, 683, 633, 787, 406, 148, 971, 158, 58, 301, 199, 620, 584, 749, 296, 223, 580, 614, 526, 994, 798, 737, 655, 2, 208, 400, 435, 209, 357, 467, 244, 618, 558, 787, 309, 493, 756, 427, 322, 203, 456, 1}

    {617, 876, 982, 409, 449, 836, 430, 478, 211, 102, 607, 672, 663, 922, 944, 605, 596, 134, 753, 371, 552, 51, 240, 964, 795, 579, 872, 664, 939, 212, 327, 161, 318, 933, 267, 860, 835, 897, 943, 341, 768, 792, 933, 151, 428, 70, 748, 479, 852, 508, 667, 609, 582, 699, 878, 385, 303, 249, 349, 887, 919, 126, 626, 912, 544, 492, 290, 250, 851, 969, 310, 75, 293, 607, 875, 645, 236, 764, 302, 626, 823, 110, 219, 214, 980, 192, 376, 3, 205, 304, 207, 862, 641, 369, 499, 637, 505, 131, 699, 321, 545, 780, 796, 710, 374, 988, 254, 234, 920, 346, 149, 671, 454, 334, 916, 87, 447, 886, 780, 561, 266, 341, 147, 531, 718, 142, 83, 454, 586, 117, 718, 666, 361, 488, 556, 782, 789, 182, 363, 315, 46, 424, 251, 571, 508, 865, 808, 108, 299, 541, 909, 434, 827, 961, 304, 338, 657, 489, 459, 530, 339, 980, 598, 829, 514, 133, 547, 220, 426, 386, 353, 5, 625, 752, 101, 900, 16, 535, 549, 70, 217, 693, 318, 822, 506, 24, 24, 83, 315, 304, 493, 874, 73, 821, 379, 812, 315, 674, 529, 431, 546, 889, 56, 570, 952, 811, 946, 891, 8, 686, 583, 114, 162, 431, 53, 98, 349, 649, 3, 935, 231, 946, 845, 410, 867, 820, 646, 709, 375, 909, 599, 254, 713, 888, 413, 859, 116, 764, 229, 988, 522, 572, 420, 66, 313, 95, 312, 517, 191, 884, 66, 879, 298, 236, 869, 283, 371, 983, 594, 25, 549, 277, 67, 257, 889, 40, 430, 663, 544, 457, 816, 11, 534, 928, 381, 630, 205, 691, 774, 123, 388, 931, 117, 752, 396, 979, 485, 523, 75, 236, 927, 6, 612, 981, 371, 417, 134, 883, 935, 666, 953, 669, 522, 865, 475, 178, 247, 237, 328, 660, 434, 298, 758, 335, 856, 349, 167, 507, 365, 566, 711, 119, 132, 230, 259, 344, 694, 589, 599, 650, 139, 715, 78, 437, 834, 15, 5, 831, 31, 294, 380, 158, 362, 508, 935, 724, 232, 203, 543, 59, 265, 904, 775, 709, 152, 616, 226, 54, 629, 307, 292, 70, 27, 601, 841, 768, 723, 902, 733, 185, 801, 885, 291, 294, 520, 515, 969, 80, 338, 765, 750, 154, 988, 355, 112, 647, 96, 731, 264, 636, 66, 506, 280, 204, 378, 854, 314, 441, 220, 528, 995, 852, 875, 768, 662, 550, 635, 497, 160, 351, 197, 769, 354, 681, 483, 396, 115, 958, 963, 520, 902, 555, 232, 429, 635, 50, 185, 419, 895, 413, 621, 970, 613, 731, 704, 937, 850, 556, 497, 164, 606, 588, 128, 62, 574, 502, 461, 560, 995, 959, 505, 976, 12, 973, 628, 703, 366, 530, 792, 107, 24, 680, 412, 61, 653, 410, 20, 273, 136, 582, 639, 53, 316, 671, 667, 369, 277, 77, 794, 722, 601, 90, 462, 542, 409, 507, 285, 827, 194, 452, 167, 942, 64, 284, 201, 892, 780, 558, 438, 134, 911, 638, 808, 177, 2, 445, 535, 230, 660, 63, 555, 742, 121, 849, 844, 679, 514, 345, 657, 284, 240, 290, 282, 42, 550, 46, 128, 474, 708, 152, 936, 56, 922, 325, 604, 832, 193, 593, 776, 954, 498, 907, 861, 476, 582, 237, 124, 307, 97, 180, 316, 364, 84, 455, 285, 657, 216, 629, 480, 779, 93, 279, 687, 864, 522, 356, 271, 512, 342, 500, 628, 659, 801, 844, 194, 59, 896, 448, 83, 41, 906, 451, 851, 461, 644, 934, 156, 268, 656, 233, 813, 17, 124, 737, 950, 292, 869, 171, 26, 462, 32, 374, 462, 88, 788, 159, 539, 898, 382, 365, 990, 550, 507, 190, 363, 198, 293, 193, 63, 13, 845, 374, 659, 451, 269, 292, 942, 468, 708, 472, 361, 388, 953, 482, 165, 604, 724, 81, 543, 638, 641, 366, 896, 702, 413, 364, 446, 861, 65, 29, 153, 20, 334, 613, 741, 478, 61, 175, 452, 887, 721, 405, 652, 245, 903, 248, 810, 549, 960, 787, 408, 291, 448, 269, 157, 746, 978, 866, 817, 139, 854, 282, 808, 627, 170, 588, 376, 709, 383, 297, 735, 757, 271, 287, 954, 170, 36, 95, 59, 677, 438, 270, 609, 928, 723, 205, 832, 801, 55, 556, 247, 899, 560, 926, 504, 959, 913, 994, 463, 616, 924, 850, 377, 903, 126, 661, 710, 220, 784, 255, 890, 178, 57, 940, 422, 639, 621, 598, 815, 65, 362, 348, 183, 807, 892, 890, 755, 573, 625, 858, 331, 453, 781, 927, 986, 410, 983, 970, 751, 760, 928, 919, 822, 781, 759, 667, 257, 733, 817, 18, 229, 551, 664, 351, 375, 173, 840, 913, 973, 422, 877, 892, 684, 243, 391, 221, 541, 501, 148, 82, 359, 870, 140, 108, 551, 439, 168, 972, 644, 301, 0, 961, 34, 956, 18, 984, 733, 149, 570, 283, 420, 759, 210, 523, 489, 97, 501, 796, 636, 401, 942, 353, 115, 821, 772, 911, 245, 287, 217, 749, 615, 746, 612, 755, 480, 370, 58, 877, 905, 368, 65, 612, 438, 230, 79, 248, 514, 819, 90, 945, 866, 754, 261, 344, 725, 924, 93, 763, 194, 463, 757, 838, 849, 731, 197, 258, 313, 658, 669, 895, 925, 207, 481, 13, 31, 812, 838, 20, 455, 989, 219, 221, 324, 969, 881, 324, 600, 686, 721, 943, 332, 635, 834, 795, 949, 679, 34, 290, 520, 117, 588, 919, 451, 692, 934, 258, 483, 490, 35, 288, 202, 8, 191, 608, 554, 872, 431, 905, 547, 478, 783, 534, 613, 44, 232, 104, 137, 499, 96, 234, 907, 31, 986, 422, 206, 625, 193, 929, 329, 490, 728, 213, 233, 466, 280, 359, 235, 344, 168, 956, 653, 721, 345, 182, 963, 240, 340, 528, 630, 899, 564, 116, 885, 518, 484, 506, 30, 589, 957, 734, 297, 890, 104, 2, 512, 448, 216, 280, 712, 424, 425, 600, 715, 586, 864, 596, 929, 834, 920, 500, 231, 152, 51, 783, 355, 770, 858, 829, 330, 579, 264, 197, 703, 264, 235, 276, 748, 82, 761, 870, 241, 471, 472, 95, 861, 915, 0, 652, 521, 856, 168, 200, 210, 270, 150, 903, 617, 675, 983, 825, 805, 100, 597, 706, 956, 299, 317, 779, 346, 505, 90, 366, 241, 886, 742, 515, 823, 165, 355, 381, 44, 295, 882, 879, 896, 573, 532, 561, 157, 272, 788, 979, 894, 474, 356, 272, 269, 525, 184, 69, 283, 592, 241, 783, 885, 585, 213, 659, 814, 816, 414, 804, 829, 692, 96, 564, 78, 415, 321, 56, 577, 370, 936, 979, 383, 838, 723, 652, 160, 671, 403, 753, 784, 178, 15, 192, 821, 882, 765, 239, 345, 445, 118, 76, 555, 141, 561, 108, 97, 211, 18, 629, 562, 405, 762, 693, 888, 630, 370, 848, 790, 684, 14, 474, 426, 458, 860, 909, 529, 10, 411, 9, 165, 476, 150, 947, 268, 790, 174, 624, 30, 874, 608, 954, 836, 664, 342, 850, 940, 565, 155, 9, 661, 991, 218, 405, 645, 978, 318, 936, 198, 772, 699, 504, 286, 949, 865, 912, 35, 317, 566, 884, 530, 389, 356, 658, 924, 118, 80, 225, 384, 894, 373, 727, 841, 358, 877, 139, 722, 330, 142, 296, 684, 961, 225, 544, 276, 825, 646, 40, 495, 390, 407, 883, 727, 618, 831, 492, 591, 972, 257, 788, 123, 662, 843, 643, 73, 338, 415, 677, 238, 350, 88, 955, 564, 566, 962, 198, 150, 871, 222, 253, 218, 975, 41, 184, 513, 871, 884, 637, 293, 940, 106, 753, 347, 990, 653, 30, 347, 842, 949, 762, 977, 88, 298, 436, 521, 219, 67, 185, 571, 576, 691, 215, 693, 77, 386, 373, 352, 672, 45, 980, 17, 552, 560, 933, 807, 71, 898, 906, 794, 213, 396, 554, 752, 261, 611, 513, 19, 346, 604, 495, 363, 441, 341, 995, 939, 385, 695, 339, 190, 516, 610, 210, 309, 876, 174, 143, 822, 722, 423, 927, 683, 268, 386, 962, 277, 394, 247, 851, 792, 295, 636, 764, 703, 204, 528, 327, 399, 191, 86, 748, 986, 74, 77, 638, 368, 397, 487, 170, 133, 9, 228, 226, 512, 807, 242, 294, 501, 755, 972, 771, 794, 515, 799, 426, 677, 724, 128, 245, 72, 214, 418, 484, 212, 0, 717, 453, 75, 820, 955, 524, 180, 123, 744, 926, 565, 291, 952, 38, 172, 284, 110, 781, 86, 697, 784, 987, 833, 368, 651, 823, 534, 820, 196, 266, 860, 537, 488, 899, 778, 347, 486, 195, 704, 898, 948, 365, 141, 867, 634, 547, 596, 593, 459, 715, 545, 905, 376, 446, 911, 55, 340, 155, 872, 167, 326, 519, 959, 971, 553, 481, 881, 384, 361, 866, 750, 682, 51, 352, 835, 570, 212, 148, 19, 453, 763, 334, 739, 790, 261, 255, 281, 732, 147, 101, 572, 6, 740, 192, 416, 770, 415, 326, 172, 926, 217, 132, 71, 697, 390, 10, 981, 971, 69, 222, 849, 14, 662, 833, 881, 835, 579, 941}

    Returns: {0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1 }

  128. 996

    {560, 359, 196, 384, 893, 628, 767, 623, 126, 157, 141, 678, 690, 380, 823, 41, 816, 909, 993, 836, 578, 493, 931, 205, 101, 212, 408, 370, 735, 897, 512, 273, 531, 61, 737, 197, 903, 349, 700, 261, 978, 704, 875, 894, 946, 99, 841, 589, 956, 44, 797, 875, 513, 782, 857, 308, 165, 291, 225, 228, 278, 77, 638, 249, 776, 63, 55, 803, 292, 352, 288, 4, 816, 876, 910, 485, 248, 201, 953, 170, 662, 977, 666, 472, 922, 186, 791, 310, 50, 877, 811, 978, 301, 490, 620, 456, 420, 80, 397, 843, 66, 707, 460, 440, 377, 172, 893, 822, 149, 76, 327, 575, 527, 217, 648, 283, 225, 849, 310, 779, 270, 294, 956, 822, 992, 752, 927, 879, 921, 952, 176, 110, 1, 751, 907, 219, 416, 357, 201, 317, 821, 275, 283, 357, 425, 11, 579, 427, 299, 405, 192, 171, 485, 792, 463, 22, 245, 187, 912, 84, 567, 927, 883, 564, 302, 690, 117, 473, 390, 884, 570, 482, 914, 384, 926, 563, 579, 176, 751, 191, 669, 895, 586, 702, 167, 46, 619, 242, 786, 174, 250, 149, 785, 51, 39, 318, 645, 330, 134, 665, 562, 621, 229, 442, 204, 180, 623, 371, 139, 685, 227, 351, 601, 748, 491, 930, 83, 971, 254, 467, 424, 937, 418, 891, 38, 493, 71, 281, 464, 350, 75, 583, 871, 189, 826, 558, 888, 605, 526, 734, 974, 326, 551, 45, 584, 725, 944, 969, 176, 854, 65, 427, 726, 223, 379, 559, 926, 293, 232, 942, 985, 866, 882, 154, 367, 509, 133, 429, 278, 625, 40, 752, 918, 73, 283, 682, 649, 316, 73, 267, 525, 749, 596, 35, 871, 437, 401, 811, 347, 256, 404, 978, 805, 394, 988, 554, 722, 47, 503, 726, 375, 787, 676, 62, 184, 426, 183, 753, 163, 902, 419, 784, 90, 944, 966, 155, 684, 931, 440, 27, 221, 385, 923, 365, 950, 384, 438, 930, 333, 573, 461, 264, 768, 346, 233, 934, 91, 869, 900, 154, 88, 902, 888, 138, 339, 97, 442, 526, 274, 632, 482, 835, 751, 630, 180, 867, 850, 51, 311, 147, 555, 684, 500, 122, 566, 377, 668, 371, 343, 463, 513, 680, 369, 349, 242, 487, 476, 580, 841, 577, 417, 901, 966, 461, 869, 94, 155, 963, 940, 973, 555, 608, 76, 656, 897, 108, 125, 52, 136, 759, 473, 194, 54, 725, 795, 172, 809, 388, 650, 853, 160, 707, 825, 462, 341, 179, 474, 877, 981, 803, 256, 803, 748, 898, 859, 637, 70, 660, 439, 206, 94, 935, 883, 284, 817, 685, 694, 870, 642, 250, 675, 946, 487, 267, 290, 139, 645, 949, 791, 954, 443, 788, 541, 992, 814, 356, 637, 453, 274, 558, 123, 696, 905, 666, 427, 192, 650, 520, 657, 722, 781, 756, 282, 117, 568, 549, 822, 916, 921, 612, 100, 117, 79, 710, 501, 212, 472, 920, 448, 155, 188, 823, 619, 569, 649, 36, 46, 124, 246, 110, 25, 952, 17, 156, 337, 158, 707, 488, 631, 831, 414, 734, 232, 147, 723, 360, 827, 718, 546, 539, 388, 519, 264, 312, 895, 528, 316, 930, 227, 206, 449, 692, 492, 976, 82, 925, 987, 689, 226, 123, 591, 882, 658, 925, 915, 597, 233, 863, 446, 448, 229, 945, 288, 799, 276, 185, 136, 353, 299, 906, 911, 709, 602, 494, 468, 58, 864, 574, 923, 102, 319, 97, 876, 168, 351, 497, 61, 394, 494, 395, 90, 644, 631, 467, 644, 243, 939, 354, 21, 24, 549, 523, 208, 765, 459, 395, 605, 679, 236, 989, 897, 236, 830, 555, 338, 50, 455, 621, 476, 193, 501, 446, 752, 733, 390, 243, 172, 85, 457, 255, 288, 588, 456, 693, 870, 326, 894, 606, 715, 781, 866, 985, 892, 715, 159, 478, 426, 210, 530, 31, 307, 121, 241, 241, 223, 779, 531, 497, 520, 115, 61, 907, 478, 744, 723, 381, 656, 303, 908, 956, 795, 113, 374, 912, 762, 723, 736, 184, 20, 33, 792, 694, 357, 675, 302, 812, 954, 316, 178, 74, 940, 171, 481, 169, 463, 133, 877, 913, 392, 496, 522, 152, 433, 236, 963, 900, 817, 977, 765, 203, 477, 319, 356, 647, 329, 267, 608, 414, 464, 295, 539, 945, 924, 519, 377, 109, 954, 386, 558, 672, 854, 598, 160, 217, 886, 157, 983, 165, 301, 651, 83, 639, 935, 909, 523, 884, 340, 672, 842, 590, 479, 83, 505, 161, 615, 969, 901, 557, 74, 776, 622, 969, 125, 66, 946, 411, 188, 613, 638, 82, 108, 569, 856, 715, 252, 652, 365, 220, 330, 263, 863, 593, 153, 84, 326, 952, 434, 282, 622, 696, 955, 987, 79, 275, 975, 609, 17, 650, 584, 851, 39, 209, 597, 985, 856, 615, 576, 516, 404, 529, 4, 126, 500, 661, 103, 912, 482, 370, 922, 760, 443, 739, 205, 516, 937, 594, 158, 20, 41, 630, 846, 609, 889, 42, 774, 481, 301, 835, 774, 505, 702, 809, 545, 372, 808, 95, 688, 303, 798, 483, 199, 420, 235, 609, 580, 25, 675, 574, 36, 337, 546, 335, 242, 791, 312, 702, 774, 360, 446, 306, 949, 372, 309, 980, 171, 671, 736, 433, 804, 453, 819, 926, 561, 421, 806, 570, 690, 219, 76, 967, 909, 740, 598, 554, 167, 373, 788, 26, 865, 739, 103, 662, 905, 753, 709, 619, 435, 567, 78, 993, 617, 340, 783, 435, 57, 79, 401, 940, 552, 181, 56, 139, 760, 644, 419, 56, 908, 478, 692, 508, 979, 744, 37, 474, 397, 291, 914, 727, 635, 381, 974, 451, 206, 895, 567, 652, 519, 535, 551, 721, 156, 778, 28, 933, 341, 886, 22, 389, 246, 714, 750, 741, 905, 486, 598, 286, 826, 188, 843, 379, 966, 154, 249, 476, 36, 951, 949, 45, 626, 123, 718, 570, 612, 560, 433, 102, 792, 376, 823, 175, 359, 716, 867, 560, 980, 982, 596, 98, 186, 806, 814, 468, 47, 169, 102, 220, 225, 868, 889, 535, 595, 878, 183, 14, 830, 296, 280, 762, 769, 645, 979, 506, 126, 110, 713, 990, 353, 808, 209, 612, 684, 104, 231, 615, 766, 447, 842, 150, 277, 696, 129, 160, 392, 782, 71, 618, 397, 590, 964, 294, 714, 412, 3, 289, 72, 778, 238, 354, 580, 607, 564, 564, 395, 865, 671, 210, 416, 851, 339, 799, 314, 121, 127, 19, 400, 439, 190, 830, 563, 464, 293, 737, 625, 103, 412, 408, 535, 761, 399, 948, 293, 681, 486, 479, 215, 728, 818, 266, 167, 116, 92, 74, 44, 642, 134, 947, 627, 107, 227, 388, 677, 143, 1, 576, 583, 837, 272, 913, 989, 308, 838, 988, 779, 407, 425, 533, 769, 458, 307, 834, 64, 304, 586, 106, 838, 639, 529, 338, 437, 872, 602, 470, 789, 789, 223, 583, 934, 786, 704, 981, 332, 578, 268, 329, 680, 638, 797, 846, 235, 777, 855, 994, 451, 152, 331, 100, 84, 469, 392, 541, 628, 636, 836, 327, 246, 415, 451, 448, 469, 174, 337, 960, 986, 124, 385, 195, 194, 175, 220, 45, 429, 802, 312, 210, 566, 437, 32, 310, 383, 594, 308, 704, 147, 915, 920, 859, 901, 630, 773, 324, 196, 91, 543, 983, 440, 743, 424, 389, 362, 816, 396, 833, 380, 907, 888, 761, 258, 743, 196, 703, 315, 608, 253, 887, 458, 456, 376, 140, 115, 111, 505, 366, 12, 341, 232, 641, 709, 88, 411, 429, 453, 56, 462, 697, 153, 119, 733, 773, 523, 20, 716, 950, 27, 281, 488, 373, 270, 121, 984, 344, 137, 787, 522, 339, 281, 761, 561, 368, 166, 307, 945, 235, 2, 292, 866, 455, 759, 539, 398, 938, 646, 22, 338, 633, 252, 534, 438, 554, 655, 798, 812, 617, 712, 957, 483, 217, 215, 109, 272, 99, 887, 460, 713, 773, 574, 637, 698, 713, 369, 136, 201, 611, 140, 468, 656, 754, 896, 328, 411, 512, 327, 134, 911, 370, 726, 808, 927, 722, 185, 398, 641, 274, 694, 324, 28, 512, 82, 668, 272, 850, 294, 16, 400, 593, 835, 186, 889, 245, 621, 711, 919, 356, 303, 782, 869, 780, 90, 80, 872, 486, 537, 635, 21, 169, 914, 601, 724, 904, 710, 197, 354, 899, 769, 964, 152, 666, 765, 49, 826, 520, 670, 54, 786, 191, 716, 552, 697, 975, 853, 934, 875, 804, 346, 477, 405, 851, 295, 593, 47, 0, 799, 712, 73, 302, 668, 81, 276, 893, 739, 161, 910, 479, 493, 330, 565, 849, 698, 54, 698, 365, 849, 375, 855, 248, 873, 837, 725, 174, 91, 216, 439, 599, 768, 937, 955, 0, 620, 260, 988, 579, 363, 688, 81, 219, 163, 814, 894, 28, 340, 329, 522, 49, 438, 107, 635, 247, 156, 275, 602, 12, 960, 452, 913, 730, 422, 838, 821, 681, 179, 64, 789, 205, 311, 734, 950, 179, 485, 346, 798, 633, 382, 51, 837, 381, 740, 467, 843, 374, 852, 900, 744, 551, 430, 678}

    {961, 502, 259, 591, 170, 317, 993, 553, 876, 665, 423, 106, 1, 880, 62, 334, 640, 604, 717, 613, 793, 409, 475, 284, 860, 253, 941, 674, 890, 660, 279, 745, 342, 959, 664, 285, 788, 391, 549, 107, 85, 735, 767, 719, 967, 899, 410, 753, 766, 701, 7, 4, 484, 475, 472, 618, 995, 37, 189, 252, 682, 518, 571, 857, 839, 974, 420, 273, 336, 175, 601, 767, 300, 320, 328, 499, 772, 322, 979, 902, 538, 213, 573, 646, 840, 96, 194, 942, 673, 695, 556, 585, 55, 845, 651, 794, 30, 216, 489, 991, 466, 610, 527, 667, 982, 138, 962, 868, 164, 385, 586, 742, 53, 195, 158, 300, 321, 577, 100, 731, 820, 273, 253, 636, 230, 947, 95, 848, 794, 221, 714, 917, 589, 432, 614, 693, 348, 111, 916, 616, 943, 896, 640, 285, 5, 980, 289, 367, 819, 364, 60, 218, 314, 69, 67, 677, 31, 224, 627, 757, 419, 858, 824, 207, 157, 589, 646, 524, 434, 355, 430, 750, 255, 507, 712, 296, 325, 230, 727, 611, 861, 127, 52, 732, 517, 130, 533, 5, 222, 796, 994, 67, 516, 607, 260, 59, 892, 828, 534, 563, 7, 699, 489, 971, 617, 470, 741, 496, 70, 919, 730, 344, 514, 358, 809, 313, 375, 379, 546, 371, 261, 627, 801, 629, 624, 87, 616, 844, 399, 787, 487, 938, 670, 270, 366, 968, 263, 805, 363, 828, 286, 800, 771, 105, 101, 521, 150, 676, 724, 691, 60, 40, 733, 240, 452, 191, 557, 72, 775, 460, 374, 251, 928, 706, 911, 797, 334, 199, 13, 251, 353, 515, 552, 239, 287, 526, 93, 465, 906, 106, 257, 109, 137, 757, 391, 679, 113, 679, 443, 98, 70, 633, 600, 258, 984, 473, 748, 431, 514, 953, 550, 729, 566, 832, 128, 659, 168, 423, 565, 874, 447, 771, 892, 262, 202, 542, 14, 222, 297, 530, 115, 525, 7, 245, 683, 298, 99, 229, 824, 474, 970, 459, 492, 597, 402, 314, 515, 548, 146, 729, 352, 962, 655, 981, 394, 187, 452, 13, 562, 49, 804, 781, 216, 780, 971, 858, 43, 543, 973, 547, 922, 910, 758, 41, 957, 764, 124, 970, 540, 116, 290, 150, 728, 129, 178, 208, 187, 686, 89, 884, 556, 148, 643, 537, 770, 571, 318, 434, 764, 513, 840, 278, 844, 810, 807, 406, 387, 276, 606, 6, 145, 528, 559, 815, 86, 373, 904, 122, 255, 396, 741, 213, 435, 582, 239, 807, 18, 131, 173, 378, 214, 642, 802, 620, 543, 967, 548, 480, 524, 29, 234, 112, 333, 405, 518, 577, 818, 325, 745, 358, 264, 972, 336, 939, 484, 548, 403, 111, 528, 426, 345, 146, 868, 238, 882, 594, 935, 962, 923, 137, 572, 578, 746, 18, 120, 254, 701, 959, 688, 994, 918, 531, 727, 857, 324, 11, 649, 161, 181, 747, 942, 738, 207, 14, 279, 881, 738, 839, 75, 372, 455, 832, 532, 951, 636, 6, 239, 86, 444, 396, 721, 34, 228, 623, 729, 348, 104, 331, 151, 94, 345, 50, 182, 625, 146, 658, 931, 480, 60, 349, 33, 614, 422, 663, 228, 584, 200, 92, 410, 825, 477, 268, 829, 572, 441, 333, 556, 173, 717, 731, 298, 986, 184, 32, 465, 708, 780, 951, 105, 292, 313, 454, 204, 69, 742, 457, 262, 120, 582, 130, 120, 48, 517, 595, 454, 795, 401, 10, 509, 904, 259, 224, 271, 855, 203, 55, 389, 719, 315, 631, 403, 810, 632, 496, 43, 618, 678, 361, 766, 125, 449, 677, 336, 506, 248, 783, 42, 987, 891, 38, 480, 629, 410, 629, 600, 948, 244, 933, 711, 995, 784, 763, 790, 801, 166, 861, 173, 674, 237, 44, 503, 921, 140, 458, 289, 119, 323, 944, 820, 413, 547, 663, 406, 321, 466, 5, 62, 345, 322, 885, 654, 24, 69, 634, 387, 376, 10, 30, 504, 990, 545, 568, 178, 873, 23, 536, 777, 218, 63, 881, 19, 398, 663, 691, 695, 903, 703, 984, 755, 133, 266, 142, 813, 459, 269, 947, 832, 915, 425, 628, 215, 862, 664, 59, 149, 122, 430, 291, 648, 461, 785, 132, 265, 840, 721, 23, 77, 610, 335, 359, 11, 720, 77, 469, 135, 936, 682, 347, 299, 936, 670, 845, 853, 9, 653, 211, 659, 943, 961, 746, 114, 834, 932, 746, 533, 296, 298, 834, 754, 88, 421, 218, 972, 735, 538, 919, 202, 965, 498, 315, 290, 148, 96, 530, 654, 887, 421, 211, 616, 335, 142, 544, 240, 661, 112, 198, 244, 569, 831, 864, 403, 57, 861, 189, 127, 890, 265, 661, 673, 664, 613, 852, 896, 6, 641, 990, 25, 432, 732, 508, 805, 417, 436, 256, 510, 3, 428, 847, 860, 234, 168, 383, 626, 833, 669, 118, 159, 647, 770, 135, 226, 938, 280, 576, 708, 114, 457, 85, 891, 573, 362, 705, 431, 450, 691, 190, 143, 624, 33, 402, 490, 865, 164, 955, 300, 655, 30, 407, 287, 775, 818, 587, 504, 542, 65, 747, 705, 862, 755, 848, 720, 754, 763, 332, 595, 166, 772, 756, 757, 350, 65, 839, 471, 101, 495, 142, 640, 128, 511, 862, 813, 59, 251, 700, 639, 657, 687, 885, 237, 874, 462, 749, 499, 550, 162, 131, 141, 386, 257, 112, 652, 34, 193, 2, 409, 138, 23, 71, 332, 671, 144, 929, 195, 141, 928, 445, 29, 880, 793, 226, 503, 643, 151, 393, 863, 692, 441, 982, 413, 794, 908, 770, 18, 850, 368, 63, 15, 471, 436, 743, 418, 200, 736, 878, 313, 687, 701, 80, 758, 758, 15, 565, 393, 428, 368, 604, 568, 991, 501, 390, 553, 699, 825, 699, 46, 445, 929, 504, 510, 238, 185, 932, 965, 610, 165, 15, 424, 277, 343, 470, 796, 350, 738, 0, 35, 836, 197, 511, 144, 976, 807, 695, 858, 968, 31, 491, 634, 731, 659, 651, 344, 507, 95, 596, 449, 653, 961, 153, 182, 607, 48, 845, 364, 542, 697, 66, 820, 93, 116, 81, 590, 760, 415, 592, 730, 269, 536, 131, 975, 406, 801, 776, 271, 924, 247, 740, 367, 192, 198, 867, 328, 213, 444, 683, 212, 880, 3, 262, 581, 78, 871, 553, 143, 222, 317, 856, 92, 686, 304, 745, 724, 924, 498, 132, 305, 177, 230, 198, 494, 162, 436, 268, 632, 498, 599, 347, 648, 571, 323, 634, 499, 240, 17, 86, 848, 2, 817, 89, 269, 819, 529, 263, 547, 626, 917, 247, 540, 502, 582, 828, 135, 667, 104, 973, 764, 408, 622, 241, 87, 164, 489, 26, 847, 378, 879, 515, 114, 366, 89, 334, 662, 416, 423, 466, 320, 331, 10, 37, 755, 243, 925, 360, 572, 413, 471, 532, 510, 386, 683, 64, 193, 68, 575, 295, 32, 306, 305, 42, 811, 402, 87, 442, 778, 177, 24, 271, 958, 475, 604, 689, 842, 508, 207, 305, 606, 234, 562, 454, 105, 810, 415, 358, 163, 870, 815, 53, 759, 450, 348, 93, 26, 541, 57, 52, 231, 39, 304, 208, 785, 643, 706, 16, 48, 58, 844, 672, 860, 898, 159, 763, 720, 250, 833, 362, 544, 417, 883, 527, 361, 518, 669, 890, 309, 873, 506, 162, 550, 382, 886, 614, 199, 812, 806, 507, 852, 793, 8, 959, 414, 287, 412, 495, 447, 9, 481, 351, 323, 78, 319, 687, 686, 363, 21, 957, 943, 588, 976, 588, 34, 285, 182, 8, 603, 906, 96, 16, 986, 898, 383, 259, 170, 286, 399, 491, 214, 960, 953, 445, 929, 989, 983, 118, 916, 257, 521, 689, 321, 387, 128, 502, 968, 706, 450, 719, 525, 203, 958, 380, 963, 118, 846, 511, 145, 75, 309, 581, 35, 129, 864, 320, 249, 538, 605, 585, 428, 400, 829, 524, 737, 624, 790, 514, 211, 544, 534, 965, 653, 557, 342, 492, 676, 53, 941, 532, 342, 972, 277, 728, 941, 680, 27, 12, 181, 490, 43, 497, 214, 710, 361, 784, 742, 483, 40, 585, 418, 254, 747, 802, 237, 441, 119, 509, 732, 9, 393, 771, 113, 58, 756, 777, 378, 800, 879, 667, 918, 775, 67, 265, 177, 97, 355, 190, 306, 827, 404, 872, 108, 432, 382, 977, 970, 536, 881, 318, 847, 204, 992, 587, 592, 813, 209, 768, 231, 68, 325, 878, 920, 783, 261, 545, 391, 611, 827, 603, 591, 407, 587, 444, 917, 561, 717, 750, 144, 700, 431, 831, 939, 297, 284, 711, 266, 749, 130, 665, 19, 343, 575, 874, 657, 322, 592, 311, 517, 948, 964, 685, 244, 603, 581, 885, 355, 148, 260, 422, 200, 815, 488, 202, 790, 282, 145, 705, 829, 854, 600, 224, 352, 183, 658, 132, 13, 599, 991, 821, 68, 928, 258, 29, 796, 72, 647, 151, 899, 8, 500, 369, 932, 98, 409, 559, 800, 180, 703, 841, 772, 824, 693, 297, 660, 995, 933, 364, 484, 673, 654, 718, 958, 708, 38, 674, 233, 859, 521, 280, 221, 537, 540, 495, 681, 903, 465, 279, 762, 936}

    Returns: {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1 }

  129. 996

    {765, 385, 543, 834, 437, 580, 168, 197, 648, 722, 564, 391, 131, 682, 140, 873, 376, 214, 988, 556, 339, 417, 115, 371, 420, 394, 178, 118, 285, 109, 215, 283, 328, 696, 617, 607, 718, 206, 331, 182, 406, 12, 842, 762, 806, 163, 472, 164, 555, 816, 969, 300, 39, 123, 263, 177, 835, 505, 753, 506, 264, 955, 203, 984, 454, 773, 302, 562, 401, 562, 96, 888, 922, 543, 726, 102, 873, 290, 736, 888, 626, 729, 541, 851, 937, 521, 387, 496, 912, 475, 961, 113, 63, 525, 729, 251, 429, 815, 832, 144, 247, 22, 961, 1, 446, 667, 969, 127, 300, 559, 818, 652, 318, 461, 556, 802, 803, 44, 394, 260, 261, 108, 926, 439, 612, 914, 734, 46, 573, 242, 20, 573, 787, 785, 967, 110, 848, 291, 194, 678, 450, 104, 345, 470, 251, 277, 257, 236, 333, 721, 940, 263, 175, 11, 818, 848, 539, 909, 392, 635, 210, 838, 159, 985, 835, 796, 674, 686, 156, 697, 764, 978, 250, 347, 857, 655, 167, 304, 487, 588, 400, 950, 6, 360, 824, 443, 839, 695, 377, 352, 642, 957, 558, 677, 454, 190, 552, 471, 364, 994, 547, 68, 310, 264, 143, 285, 937, 347, 922, 205, 669, 73, 201, 7, 115, 540, 14, 826, 553, 307, 144, 669, 953, 609, 325, 964, 833, 955, 744, 110, 471, 190, 319, 578, 711, 804, 546, 393, 731, 607, 405, 195, 78, 566, 734, 862, 669, 239, 914, 135, 444, 317, 283, 555, 13, 650, 599, 114, 947, 642, 679, 229, 913, 850, 225, 175, 934, 583, 413, 0, 387, 853, 779, 157, 155, 893, 107, 18, 384, 717, 262, 120, 714, 30, 937, 802, 329, 855, 380, 636, 675, 749, 872, 904, 149, 125, 485, 703, 622, 483, 323, 39, 508, 6, 62, 662, 342, 426, 500, 168, 251, 618, 974, 40, 443, 615, 512, 226, 527, 333, 592, 598, 578, 222, 603, 611, 310, 100, 3, 542, 456, 666, 13, 668, 182, 79, 411, 842, 392, 43, 16, 184, 408, 498, 744, 305, 522, 967, 553, 667, 681, 350, 635, 666, 941, 973, 80, 773, 456, 379, 670, 934, 269, 908, 10, 140, 385, 399, 136, 141, 500, 821, 69, 229, 192, 388, 924, 942, 925, 987, 624, 398, 9, 711, 942, 745, 908, 781, 61, 339, 89, 133, 960, 347, 961, 173, 907, 733, 809, 216, 182, 900, 842, 278, 932, 535, 25, 855, 46, 164, 874, 101, 608, 93, 116, 812, 574, 548, 865, 670, 185, 19, 259, 445, 830, 494, 313, 646, 109, 899, 137, 343, 795, 774, 860, 906, 412, 800, 443, 749, 273, 687, 712, 380, 973, 948, 390, 617, 222, 203, 655, 590, 246, 670, 979, 881, 445, 196, 427, 336, 757, 98, 283, 311, 925, 739, 661, 473, 939, 793, 887, 519, 789, 722, 390, 20, 785, 396, 625, 209, 581, 905, 622, 968, 901, 393, 388, 911, 889, 104, 714, 386, 539, 899, 552, 448, 825, 857, 920, 786, 101, 524, 474, 674, 532, 991, 705, 690, 976, 643, 877, 597, 472, 250, 742, 892, 304, 958, 134, 668, 547, 233, 709, 527, 969, 649, 847, 763, 243, 348, 397, 327, 176, 644, 490, 849, 626, 221, 510, 836, 338, 589, 726, 270, 446, 936, 734, 635, 974, 85, 956, 289, 39, 965, 992, 716, 760, 943, 847, 103, 375, 44, 965, 518, 886, 868, 838, 602, 146, 297, 68, 294, 77, 921, 9, 691, 550, 552, 932, 663, 603, 764, 361, 585, 213, 236, 389, 191, 478, 462, 191, 307, 141, 361, 354, 423, 94, 777, 138, 844, 809, 832, 545, 628, 888, 120, 955, 63, 383, 606, 945, 630, 446, 290, 884, 361, 407, 221, 928, 720, 95, 183, 646, 270, 612, 313, 559, 672, 769, 494, 523, 875, 179, 858, 180, 991, 403, 613, 568, 691, 467, 433, 513, 849, 943, 682, 639, 805, 289, 794, 823, 206, 104, 833, 230, 463, 390, 482, 731, 805, 439, 187, 255, 929, 498, 243, 37, 929, 778, 866, 210, 473, 919, 293, 19, 276, 412, 856, 264, 428, 875, 373, 606, 455, 358, 517, 36, 82, 175, 1, 749, 871, 711, 145, 647, 578, 329, 993, 586, 537, 35, 748, 189, 582, 862, 143, 0, 73, 467, 602, 851, 156, 784, 742, 841, 740, 377, 989, 4, 281, 665, 939, 860, 968, 534, 252, 753, 661, 777, 896, 384, 946, 812, 765, 214, 624, 974, 66, 394, 335, 709, 640, 753, 843, 662, 495, 391, 894, 108, 234, 489, 656, 297, 400, 145, 501, 510, 447, 579, 581, 311, 977, 485, 165, 650, 208, 278, 319, 135, 868, 209, 363, 391, 508, 743, 105, 116, 590, 812, 936, 702, 43, 738, 666, 449, 37, 690, 169, 383, 163, 597, 360, 332, 305, 984, 584, 262, 958, 28, 364, 498, 121, 693, 951, 593, 947, 483, 885, 797, 779, 653, 782, 164, 540, 541, 815, 293, 325, 865, 293, 327, 558, 571, 321, 732, 614, 575, 311, 709, 934, 337, 912, 25, 671, 36, 849, 719, 700, 535, 652, 297, 448, 551, 755, 645, 915, 950, 298, 506, 518, 901, 144, 343, 830, 662, 364, 153, 567, 352, 425, 756, 582, 681, 922, 481, 451, 626, 566, 870, 491, 385, 480, 476, 541, 803, 161, 265, 530, 848, 904, 909, 97, 627, 44, 894, 328, 314, 905, 66, 704, 397, 402, 787, 784, 9, 655, 326, 964, 810, 420, 413, 268, 889, 237, 843, 343, 719, 346, 424, 158, 671, 87, 589, 534, 134, 93, 60, 731, 60, 715, 413, 132, 804, 899, 519, 750, 392, 661, 556, 479, 261, 242, 301, 586, 7, 975, 423, 629, 737, 341, 74, 841, 606, 994, 811, 965, 424, 612, 85, 748, 400, 806, 192, 402, 337, 504, 925, 570, 801, 704, 403, 672, 531, 929, 61, 453, 209, 592, 331, 906, 819, 351, 958, 274, 712, 871, 953, 442, 53, 932, 786, 989, 402, 69, 647, 451, 247, 648, 370, 995, 904, 489, 150, 310, 642, 412, 522, 769, 554, 715, 79, 450, 332, 438, 36, 717, 243, 721, 607, 521, 265, 928, 964, 102, 125, 265, 589, 483, 82, 824, 213, 34, 147, 678, 219, 254, 560, 312, 103, 769, 881, 321, 851, 554, 493, 379, 26, 665, 56, 830, 3, 623, 839, 679, 794, 126, 640, 821, 856, 834, 431, 16, 15, 644, 359, 232, 633, 81, 368, 530, 781, 678, 359, 422, 599, 454, 774, 92, 590, 107, 287, 847, 239, 16, 155, 532, 664, 681, 579, 188, 421, 785, 398, 636, 244, 325, 652, 597, 695, 645, 381, 205, 331, 452, 884, 649, 87, 907, 517, 682, 275, 554, 6, 985, 56, 664, 48, 611, 261, 291, 8, 786, 221, 24, 298, 124, 371, 25, 896, 850, 112, 65, 767, 244, 583, 379, 896, 55, 398, 866, 640, 422, 12, 840, 791, 188, 192, 189, 945, 259, 500, 547, 269, 657, 368, 784, 562, 800, 876, 870, 27, 485, 790, 773, 787, 181, 900, 987, 461, 972, 862, 656, 350, 572, 269, 490, 53, 414, 143, 482, 975, 889, 27, 951, 244, 97, 919, 87, 505, 715, 383, 54, 911, 183, 112, 647, 559, 169, 137, 225, 850, 232, 442, 838, 444, 307, 495, 887, 893, 278, 690, 644, 179, 567, 186, 157, 287, 406, 250, 135, 377, 338, 427, 195, 137, 195, 947, 844, 841, 717, 814, 196, 977, 437, 581, 147, 89, 584, 692, 613, 17, 765, 617, 157, 318, 147, 85, 232, 835, 829, 497, 113, 623, 797, 523, 892, 222, 837, 314, 609, 548, 19, 668, 707, 511, 757, 721, 553, 494, 174, 516, 145, 912, 526, 820, 338, 270, 370, 314, 10, 405, 628, 177, 983, 487, 151, 367, 942, 989, 643, 957, 165, 895, 428, 415, 15, 624, 138, 177, 284, 109, 742, 527, 262, 705, 636, 804, 679, 56, 51, 291, 327, 189, 623, 20, 358, 645, 355, 312, 156, 114, 874, 894, 170, 229, 73, 107, 342, 216, 249, 476, 814, 672, 570, 433, 403, 633, 322, 774, 117, 822, 701, 708, 570, 200, 962, 950, 263, 117, 726, 290, 752, 95, 817, 522, 572, 350, 602, 803, 466, 319, 82, 542, 296, 966, 478, 125, 718, 952, 952, 106, 956, 276, 225, 521, 881, 595, 214, 424, 367, 282, 897, 342, 798, 114, 700, 484, 62, 968, 407, 878, 95, 595, 826, 914, 693, 316, 380, 138, 160, 183, 712, 367, 11, 531, 131, 677, 317, 551, 991, 462, 767, 200, 227, 423, 751, 539, 530, 428, 326, 465, 464, 885, 531, 736, 83, 533, 149, 748, 130, 456, 870, 696, 744, 809, 112, 906, 907, 750, 919, 178, 333, 671, 691, 517, 94, 513, 427, 484, 174, 30, 574, 96, 513, 105, 757, 359, 418, 901, 966, 469, 677, 497, 257, 371, 130, 139, 876, 257, 448, 130, 136, 718, 474, 275, 140, 800, 532, 702, 798, 875, 480, 279, 64, 381, 981, 676, 305, 817, 832, 40, 584, 831, 743, 210, 805, 729, 561, 643, 674, 767, 199, 811, 992}

    {204, 976, 614, 568, 585, 27, 872, 368, 660, 14, 843, 760, 449, 230, 50, 782, 503, 90, 155, 618, 557, 442, 58, 65, 353, 752, 354, 797, 154, 98, 502, 124, 77, 414, 577, 86, 92, 627, 458, 878, 373, 353, 878, 259, 180, 354, 759, 363, 187, 84, 857, 761, 491, 12, 47, 234, 340, 853, 366, 18, 921, 410, 845, 296, 372, 158, 772, 883, 609, 464, 418, 172, 322, 211, 503, 631, 152, 512, 502, 834, 933, 2, 801, 284, 637, 509, 689, 407, 258, 874, 778, 33, 756, 982, 529, 853, 198, 569, 14, 281, 993, 15, 613, 587, 781, 771, 783, 203, 641, 493, 45, 747, 35, 224, 700, 959, 761, 451, 280, 404, 536, 72, 714, 831, 119, 393, 197, 315, 813, 575, 459, 272, 598, 633, 26, 238, 417, 405, 685, 288, 324, 867, 577, 519, 614, 898, 207, 277, 235, 825, 45, 963, 294, 861, 258, 515, 460, 730, 281, 723, 524, 480, 860, 890, 771, 169, 253, 699, 29, 759, 864, 865, 615, 374, 783, 28, 956, 751, 375, 324, 230, 763, 275, 528, 18, 754, 320, 71, 656, 854, 491, 949, 525, 720, 948, 126, 831, 796, 630, 657, 649, 208, 437, 475, 728, 249, 24, 745, 746, 49, 931, 939, 388, 201, 235, 823, 572, 916, 854, 509, 256, 941, 557, 593, 632, 357, 976, 980, 92, 571, 362, 351, 877, 716, 738, 525, 538, 186, 966, 48, 184, 560, 239, 594, 268, 815, 587, 434, 186, 802, 837, 306, 775, 86, 226, 436, 759, 880, 21, 573, 344, 871, 684, 139, 415, 777, 918, 493, 750, 436, 341, 543, 153, 667, 193, 31, 820, 477, 520, 216, 864, 692, 741, 511, 596, 698, 708, 492, 886, 246, 128, 707, 53, 395, 28, 397, 167, 148, 808, 176, 191, 813, 673, 580, 152, 401, 563, 248, 610, 822, 211, 3, 604, 634, 600, 792, 163, 890, 280, 858, 241, 557, 7, 741, 212, 187, 605, 460, 507, 345, 295, 72, 185, 357, 916, 38, 172, 544, 256, 132, 536, 927, 728, 549, 486, 796, 106, 770, 724, 396, 768, 355, 452, 108, 587, 918, 859, 564, 680, 946, 827, 271, 101, 481, 546, 740, 869, 943, 151, 22, 99, 504, 256, 83, 215, 716, 583, 49, 312, 409, 316, 972, 791, 422, 920, 534, 895, 2, 435, 453, 284, 957, 540, 76, 684, 664, 940, 893, 637, 119, 544, 550, 916, 651, 111, 267, 452, 827, 67, 761, 921, 538, 204, 64, 766, 206, 469, 365, 601, 346, 985, 625, 301, 684, 233, 915, 336, 763, 306, 839, 733, 754, 766, 440, 515, 586, 610, 356, 43, 588, 435, 30, 827, 873, 271, 821, 218, 542, 926, 55, 369, 988, 409, 492, 356, 685, 913, 234, 418, 329, 657, 242, 399, 255, 416, 566, 309, 979, 496, 866, 70, 993, 471, 84, 111, 295, 447, 340, 202, 122, 196, 421, 217, 793, 231, 42, 658, 740, 651, 503, 32, 23, 100, 720, 984, 326, 328, 219, 565, 931, 466, 673, 520, 619, 549, 32, 468, 348, 869, 228, 710, 58, 972, 591, 829, 751, 351, 129, 29, 274, 845, 217, 533, 582, 758, 55, 676, 59, 902, 410, 898, 365, 352, 349, 148, 510, 218, 981, 625, 520, 938, 481, 867, 772, 2, 762, 171, 923, 414, 64, 419, 279, 272, 463, 735, 658, 299, 775, 384, 637, 313, 545, 880, 432, 152, 616, 944, 166, 179, 506, 979, 484, 241, 79, 406, 594, 628, 296, 218, 168, 880, 465, 732, 977, 425, 898, 40, 651, 930, 162, 852, 735, 954, 918, 903, 807, 739, 4, 248, 654, 24, 816, 223, 335, 568, 194, 105, 408, 927, 441, 426, 162, 529, 178, 223, 271, 74, 81, 409, 706, 154, 365, 142, 523, 819, 708, 165, 694, 57, 616, 479, 8, 335, 115, 467, 741, 680, 913, 332, 526, 441, 760, 524, 334, 124, 46, 861, 35, 303, 197, 75, 846, 174, 563, 315, 212, 933, 408, 133, 861, 88, 86, 231, 713, 440, 629, 8, 267, 445, 23, 457, 356, 571, 620, 202, 902, 917, 501, 38, 917, 970, 660, 54, 253, 659, 911, 287, 121, 990, 931, 719, 810, 755, 233, 131, 201, 375, 288, 78, 945, 11, 959, 565, 752, 100, 756, 81, 496, 54, 868, 909, 415, 762, 370, 528, 50, 75, 783, 990, 69, 768, 576, 417, 952, 76, 89, 106, 345, 294, 438, 676, 713, 627, 811, 528, 33, 395, 938, 330, 900, 389, 279, 551, 70, 593, 923, 747, 13, 935, 788, 194, 823, 34, 315, 808, 193, 334, 478, 42, 621, 240, 605, 173, 924, 981, 473, 323, 710, 698, 915, 736, 300, 299, 457, 895, 980, 795, 193, 170, 41, 872, 600, 468, 790, 378, 52, 980, 789, 799, 903, 235, 90, 411, 362, 88, 737, 764, 897, 228, 344, 879, 420, 389, 65, 321, 378, 724, 653, 204, 514, 683, 62, 641, 75, 432, 460, 807, 224, 227, 151, 675, 982, 207, 430, 973, 505, 317, 975, 634, 732, 772, 940, 723, 72, 792, 202, 707, 618, 946, 433, 477, 795, 266, 705, 488, 166, 142, 170, 34, 694, 240, 776, 600, 808, 430, 462, 994, 486, 724, 863, 482, 330, 322, 768, 743, 223, 111, 526, 629, 272, 563, 944, 91, 518, 363, 42, 814, 80, 159, 604, 252, 511, 298, 995, 890, 241, 727, 425, 897, 686, 962, 703, 339, 41, 660, 228, 766, 71, 654, 123, 978, 794, 323, 434, 158, 132, 324, 492, 142, 70, 935, 970, 382, 374, 638, 770, 372, 949, 948, 499, 601, 754, 469, 320, 288, 978, 776, 577, 17, 337, 488, 306, 936, 434, 658, 231, 136, 902, 141, 689, 576, 150, 180, 514, 118, 212, 59, 688, 26, 698, 67, 441, 502, 837, 302, 60, 710, 254, 694, 820, 459, 801, 619, 535, 273, 953, 215, 825, 595, 78, 688, 892, 938, 695, 855, 83, 598, 159, 822, 933, 941, 219, 444, 776, 378, 995, 470, 373, 57, 884, 696, 685, 360, 585, 813, 99, 366, 829, 429, 249, 475, 588, 172, 963, 591, 819, 286, 77, 611, 160, 435, 199, 274, 883, 962, 431, 908, 854, 123, 477, 863, 824, 863, 247, 758, 308, 659, 877, 596, 220, 692, 401, 252, 458, 910, 713, 770, 746, 224, 217, 17, 355, 706, 162, 171, 304, 516, 372, 988, 411, 61, 725, 737, 864, 245, 971, 447, 436, 268, 971, 983, 470, 891, 468, 697, 504, 879, 486, 856, 699, 591, 836, 237, 488, 501, 879, 167, 746, 161, 891, 213, 930, 472, 199, 292, 561, 299, 858, 357, 536, 699, 920, 429, 923, 545, 127, 37, 818, 882, 67, 580, 198, 404, 226, 461, 419, 555, 48, 725, 799, 970, 1, 650, 103, 846, 798, 653, 495, 47, 891, 374, 885, 828, 97, 910, 267, 963, 845, 697, 386, 303, 755, 121, 116, 648, 245, 122, 205, 248, 41, 917, 127, 466, 514, 171, 301, 631, 68, 426, 286, 404, 419, 935, 887, 453, 605, 146, 246, 561, 599, 569, 960, 91, 816, 546, 703, 663, 395, 63, 728, 240, 852, 260, 683, 687, 687, 207, 52, 211, 154, 184, 806, 882, 675, 745, 21, 924, 362, 828, 638, 245, 859, 515, 254, 148, 160, 723, 564, 828, 852, 410, 465, 550, 780, 579, 771, 615, 791, 792, 282, 960, 66, 341, 659, 31, 727, 449, 810, 90, 119, 431, 621, 181, 181, 788, 421, 730, 954, 489, 778, 507, 118, 309, 340, 639, 905, 93, 80, 396, 220, 47, 986, 5, 608, 302, 126, 32, 490, 560, 430, 128, 334, 71, 450, 292, 779, 592, 176, 166, 867, 289, 622, 45, 94, 381, 129, 479, 220, 358, 538, 799, 146, 621, 529, 336, 807, 986, 565, 758, 369, 701, 910, 382, 610, 134, 954, 986, 876, 788, 730, 575, 57, 330, 349, 738, 928, 574, 630, 632, 930, 927, 128, 49, 476, 680, 727, 725, 91, 416, 638, 463, 38, 185, 846, 654, 74, 704, 869, 688, 499, 5, 273, 432, 308, 747, 295, 51, 665, 549, 971, 702, 949, 487, 944, 516, 236, 59, 497, 859, 376, 903, 280, 285, 619, 266, 84, 5, 616, 641, 10, 416, 353, 309, 439, 701, 51, 277, 780, 793, 386, 266, 173, 286, 29, 992, 120, 458, 150, 646, 33, 959, 129, 833, 775, 603, 507, 4, 886, 23, 576, 826, 499, 198, 544, 161, 634, 113, 782, 537, 735, 548, 346, 316, 639, 817, 21, 706, 98, 366, 926, 344, 31, 303, 601, 620, 190, 569, 117, 99, 840, 349, 631, 683, 455, 122, 844, 693, 369, 282, 883, 459, 276, 604, 780, 596, 76, 237, 258, 227, 238, 512, 58, 790, 739, 50, 594, 508, 96, 990, 376, 292, 982, 689, 457, 348, 153, 139, 387, 255, 133, 558, 320, 438, 238, 951, 464, 188, 537, 110, 840, 102, 620, 567, 836, 260, 882, 208, 440, 663, 399, 52, 308, 200, 967, 686, 0, 474, 789, 253, 722, 533, 22, 88, 382, 673, 318, 983, 632, 149, 455, 733, 987, 608, 509}

    Returns: {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 }

  130. 996

    {264, 647, 26, 636, 391, 3, 8, 793, 608, 924, 666, 834, 24, 808, 458, 615, 848, 216, 565, 199, 194, 3, 884, 290, 593, 832, 600, 974, 902, 862, 658, 715, 748, 532, 343, 260, 953, 563, 360, 114, 757, 984, 270, 762, 468, 822, 725, 247, 409, 436, 591, 195, 378, 823, 392, 924, 36, 758, 175, 572, 486, 922, 446, 851, 785, 19, 417, 214, 65, 319, 709, 13, 164, 539, 374, 188, 89, 72, 911, 613, 313, 667, 399, 129, 158, 919, 527, 508, 240, 790, 771, 283, 266, 987, 500, 395, 974, 370, 831, 99, 897, 590, 26, 670, 804, 347, 704, 170, 269, 447, 46, 520, 619, 606, 555, 718, 757, 363, 602, 556, 464, 955, 92, 687, 206, 310, 464, 994, 895, 553, 469, 534, 495, 327, 640, 952, 976, 875, 298, 698, 510, 578, 40, 881, 507, 225, 795, 550, 84, 722, 711, 551, 369, 304, 29, 810, 638, 935, 219, 856, 753, 133, 878, 795, 883, 576, 264, 417, 559, 205, 17, 728, 548, 727, 669, 185, 866, 217, 226, 367, 344, 560, 398, 417, 432, 744, 253, 673, 207, 881, 662, 18, 649, 243, 429, 660, 479, 205, 376, 264, 855, 400, 657, 357, 325, 914, 280, 951, 588, 135, 663, 185, 121, 49, 255, 713, 707, 313, 935, 505, 538, 20, 800, 45, 224, 744, 11, 110, 807, 404, 204, 485, 795, 661, 43, 748, 877, 687, 800, 443, 458, 42, 761, 644, 107, 20, 477, 828, 69, 12, 292, 500, 415, 476, 562, 367, 470, 395, 249, 172, 207, 731, 463, 814, 928, 106, 674, 667, 94, 159, 62, 192, 753, 955, 663, 585, 142, 592, 406, 696, 37, 378, 356, 724, 247, 368, 606, 927, 213, 274, 488, 283, 774, 200, 909, 375, 625, 618, 900, 214, 211, 467, 872, 290, 509, 792, 642, 615, 972, 688, 53, 318, 428, 271, 871, 111, 378, 613, 952, 555, 926, 797, 760, 723, 923, 937, 671, 320, 202, 663, 472, 539, 328, 792, 395, 256, 142, 875, 278, 156, 171, 695, 589, 338, 860, 895, 578, 449, 784, 500, 435, 715, 484, 901, 813, 595, 610, 592, 883, 969, 321, 503, 662, 798, 827, 727, 680, 232, 340, 8, 533, 130, 244, 302, 391, 986, 818, 730, 770, 110, 138, 300, 315, 409, 864, 2, 404, 976, 820, 68, 914, 580, 542, 360, 972, 452, 986, 786, 359, 283, 265, 640, 866, 432, 530, 381, 695, 758, 73, 213, 960, 672, 890, 707, 741, 18, 411, 610, 54, 683, 436, 840, 901, 652, 181, 577, 829, 111, 177, 864, 646, 639, 682, 901, 558, 14, 961, 79, 631, 316, 616, 847, 863, 390, 886, 75, 583, 254, 701, 256, 603, 506, 647, 591, 77, 561, 469, 324, 132, 509, 581, 355, 63, 191, 932, 477, 284, 105, 299, 152, 375, 70, 967, 673, 993, 320, 466, 889, 580, 854, 200, 462, 98, 11, 529, 421, 97, 885, 273, 78, 492, 877, 645, 767, 723, 371, 540, 512, 127, 919, 344, 788, 708, 567, 83, 593, 737, 4, 393, 562, 914, 173, 173, 333, 94, 460, 926, 849, 462, 411, 28, 774, 776, 232, 957, 599, 47, 513, 571, 752, 889, 260, 786, 833, 97, 510, 328, 971, 649, 88, 536, 727, 811, 30, 711, 265, 209, 692, 246, 42, 203, 137, 386, 305, 594, 830, 96, 152, 867, 216, 940, 71, 438, 474, 107, 163, 380, 731, 717, 719, 717, 182, 502, 532, 542, 660, 68, 306, 119, 837, 829, 564, 149, 954, 882, 767, 105, 106, 580, 114, 851, 260, 215, 629, 599, 865, 455, 947, 326, 874, 235, 291, 530, 894, 937, 613, 471, 537, 708, 622, 88, 806, 716, 406, 282, 837, 859, 890, 502, 377, 467, 51, 571, 352, 225, 861, 554, 987, 292, 587, 246, 814, 629, 100, 148, 382, 25, 713, 459, 536, 987, 456, 277, 81, 447, 236, 499, 721, 44, 414, 50, 686, 261, 583, 822, 952, 128, 935, 942, 135, 829, 259, 993, 33, 784, 504, 681, 537, 435, 56, 271, 186, 380, 677, 410, 118, 522, 549, 372, 240, 844, 738, 649, 322, 294, 439, 63, 472, 520, 733, 445, 628, 982, 582, 288, 802, 787, 211, 925, 572, 196, 79, 107, 352, 493, 615, 710, 669, 48, 300, 229, 144, 934, 446, 811, 11, 134, 624, 867, 883, 888, 477, 535, 680, 366, 736, 284, 418, 75, 252, 111, 457, 616, 955, 140, 555, 113, 140, 638, 441, 108, 575, 557, 617, 732, 31, 48, 743, 681, 684, 531, 35, 442, 267, 564, 758, 671, 879, 950, 46, 199, 445, 509, 734, 694, 173, 906, 888, 563, 872, 114, 203, 650, 62, 200, 881, 896, 847, 993, 160, 51, 549, 285, 343, 635, 519, 399, 426, 692, 66, 319, 328, 389, 963, 94, 169, 308, 612, 624, 75, 908, 108, 175, 927, 440, 108, 838, 232, 70, 324, 970, 806, 556, 979, 918, 61, 414, 747, 761, 942, 324, 350, 547, 296, 126, 576, 297, 550, 282, 109, 637, 55, 900, 889, 465, 316, 51, 350, 356, 990, 45, 981, 145, 484, 950, 194, 884, 485, 444, 35, 515, 226, 641, 12, 679, 170, 798, 257, 8, 982, 875, 76, 570, 668, 513, 153, 536, 771, 860, 755, 462, 763, 428, 370, 77, 287, 87, 402, 362, 533, 247, 666, 149, 733, 762, 903, 239, 189, 591, 957, 742, 769, 601, 662, 879, 548, 700, 298, 251, 387, 692, 251, 994, 702, 915, 770, 226, 622, 816, 763, 904, 608, 768, 653, 37, 412, 956, 155, 277, 717, 139, 967, 161, 818, 189, 35, 644, 243, 690, 527, 859, 164, 309, 407, 847, 83, 510, 465, 525, 490, 520, 541, 777, 10, 569, 575, 984, 946, 851, 902, 989, 886, 683, 105, 121, 505, 338, 586, 332, 492, 621, 234, 528, 228, 331, 20, 854, 716, 946, 974, 646, 237, 519, 942, 452, 429, 202, 152, 925, 5, 463, 947, 412, 533, 441, 233, 482, 266, 557, 196, 752, 940, 284, 679, 459, 366, 502, 340, 457, 162, 589, 777, 804, 390, 495, 770, 616, 165, 482, 983, 924, 346, 217, 984, 602, 161, 148, 57, 29, 120, 743, 457, 257, 995, 995, 741, 101, 503, 871, 452, 100, 637, 550, 23, 317, 532, 718, 435, 88, 651, 565, 19, 278, 421, 237, 240, 445, 416, 418, 332, 372, 438, 234, 446, 130, 360, 488, 719, 145, 469, 102, 628, 195, 861, 652, 665, 300, 892, 559, 809, 531, 362, 256, 668, 583, 273, 403, 718, 253, 32, 159, 277, 886, 1, 228, 411, 119, 970, 961, 127, 595, 828, 415, 575, 793, 629, 511, 841, 410, 311, 67, 544, 312, 97, 645, 529, 17, 482, 189, 459, 620, 805, 516, 23, 890, 809, 130, 541, 455, 888, 4, 250, 219, 139, 764, 832, 391, 608, 504, 863, 468, 709, 289, 309, 396, 853, 485, 849, 76, 80, 961, 540, 367, 59, 548, 214, 590, 511, 586, 42, 788, 708, 542, 862, 834, 641, 6, 61, 26, 751, 611, 601, 665, 262, 39, 747, 470, 339, 455, 195, 898, 867, 498, 862, 317, 986, 698, 116, 943, 215, 735, 444, 272, 527, 39, 304, 763, 188, 133, 237, 451, 878, 972, 769, 274, 596, 155, 338, 745, 45, 494, 346, 930, 476, 161, 604, 896, 911, 50, 301, 620, 419, 419, 275, 405, 571, 194, 163, 442, 297, 515, 534, 967, 24, 495, 458, 85, 589, 990, 133, 318, 697, 454, 184, 923, 969, 171, 47, 517, 304, 143, 863, 700, 836, 910, 638, 565, 936, 543, 235, 399, 810, 977, 760, 314, 544, 106, 159, 887, 668, 87, 902, 572, 985, 657, 787, 870, 427, 801, 268, 698, 762, 269, 976, 592, 723, 419, 374, 645, 665, 748, 830, 512, 249, 596, 669, 544, 876, 92, 521, 326, 160, 176, 218, 644, 258, 156, 191, 686, 576, 87, 315, 973, 860, 808, 617, 730, 828, 919, 547, 803, 225, 296, 55, 381, 679, 586, 841, 498, 193, 322, 381, 948, 539, 683, 325, 68, 973, 96, 350, 257, 423, 756, 78, 321, 168, 437, 332, 848, 56, 486, 809, 911, 65, 490, 92, 335, 319, 784, 127, 229, 343, 158, 98, 197, 556, 408, 639, 620, 600, 849, 280, 217, 947, 728, 747, 511, 320, 742, 63, 139, 923, 868, 5, 910, 632, 89, 231, 166, 490, 498, 231, 896, 303, 347, 28, 389, 377, 157, 443, 894, 858, 639, 593, 737, 874, 975, 95, 564, 631, 215, 960, 70, 236, 148, 479, 454, 357, 376, 756, 1, 72, 983, 553, 269, 135, 975, 344, 86, 438, 700, 786, 7, 910, 570, 549, 507, 874, 298, 623, 62, 151, 529, 414, 253, 380, 878, 899, 642, 971, 441, 302, 121, 296, 838, 713, 321, 635, 626, 957, 168, 631, 507, 315, 606, 557, 737, 813, 486, 711, 204, 267, 622, 946, 12, 778, 729, 547, 855, 707, 951, 389, 861, 773, 672, 83, 897, 241, 392, 235, 595, 55, 342, 95, 842, 102, 994, 892, 872, 2, 31, 355, 734, 834}

    {353, 120, 570, 752, 912, 141, 927, 365, 819, 0, 165, 404, 618, 329, 150, 966, 197, 460, 233, 146, 744, 899, 621, 433, 956, 944, 329, 223, 450, 710, 302, 823, 805, 81, 648, 627, 450, 909, 433, 720, 430, 220, 230, 843, 766, 433, 526, 263, 625, 835, 491, 839, 858, 666, 678, 596, 370, 837, 481, 450, 641, 46, 201, 552, 607, 824, 601, 210, 305, 944, 545, 309, 307, 857, 750, 776, 478, 85, 341, 239, 351, 501, 712, 757, 873, 560, 407, 297, 768, 962, 985, 530, 179, 561, 648, 369, 772, 181, 864, 21, 425, 101, 496, 131, 945, 584, 1, 323, 41, 10, 522, 943, 155, 703, 569, 797, 908, 624, 430, 242, 651, 764, 388, 25, 251, 406, 831, 434, 582, 431, 137, 918, 386, 280, 36, 372, 255, 733, 437, 705, 54, 656, 824, 303, 15, 785, 497, 815, 686, 28, 938, 292, 61, 753, 405, 245, 728, 434, 221, 871, 779, 906, 222, 636, 980, 496, 311, 312, 221, 964, 893, 508, 660, 222, 86, 920, 184, 535, 468, 394, 134, 479, 424, 6, 306, 424, 963, 920, 371, 879, 650, 368, 740, 933, 475, 373, 66, 238, 675, 325, 364, 198, 169, 654, 248, 131, 915, 803, 249, 759, 597, 603, 873, 34, 783, 183, 57, 921, 812, 825, 364, 655, 122, 611, 821, 934, 164, 382, 443, 959, 724, 187, 743, 584, 796, 388, 968, 167, 932, 198, 401, 568, 239, 617, 831, 528, 10, 526, 848, 238, 587, 190, 403, 279, 387, 14, 393, 456, 22, 925, 425, 928, 678, 27, 949, 933, 531, 154, 980, 524, 230, 56, 201, 100, 254, 965, 306, 936, 172, 877, 506, 38, 865, 110, 577, 706, 72, 738, 138, 54, 963, 354, 968, 150, 119, 220, 140, 680, 845, 732, 775, 751, 184, 162, 47, 893, 581, 981, 408, 484, 845, 252, 676, 689, 272, 9, 566, 918, 489, 951, 944, 501, 856, 271, 252, 334, 210, 473, 658, 307, 461, 149, 573, 423, 983, 41, 992, 739, 956, 689, 263, 120, 153, 261, 250, 524, 6, 839, 27, 78, 823, 693, 962, 729, 690, 869, 174, 793, 91, 38, 374, 416, 58, 227, 245, 294, 136, 385, 765, 208, 818, 694, 401, 197, 330, 487, 885, 330, 932, 397, 687, 76, 349, 82, 651, 125, 473, 160, 731, 118, 670, 518, 53, 162, 673, 358, 308, 796, 895, 768, 691, 181, 780, 128, 354, 696, 118, 336, 497, 167, 383, 186, 921, 664, 287, 706, 85, 275, 29, 922, 941, 850, 514, 778, 216, 171, 600, 764, 826, 286, 980, 781, 789, 939, 444, 373, 816, 101, 180, 241, 800, 80, 32, 439, 846, 138, 483, 307, 579, 929, 920, 739, 448, 418, 244, 19, 489, 852, 798, 568, 467, 180, 567, 359, 598, 413, 676, 145, 978, 342, 746, 697, 765, 408, 136, 959, 365, 806, 699, 803, 244, 581, 759, 597, 652, 802, 71, 880, 773, 339, 109, 632, 255, 449, 289, 897, 365, 208, 474, 546, 351, 807, 777, 792, 415, 262, 387, 81, 168, 59, 659, 790, 102, 208, 646, 640, 285, 840, 642, 917, 439, 696, 905, 661, 979, 49, 568, 745, 945, 73, 480, 815, 771, 869, 203, 274, 335, 342, 551, 243, 153, 749, 623, 362, 931, 59, 329, 892, 427, 579, 420, 489, 52, 754, 37, 74, 80, 971, 166, 36, 93, 975, 724, 714, 286, 604, 22, 949, 176, 262, 345, 112, 327, 281, 900, 394, 448, 992, 44, 868, 904, 543, 288, 912, 356, 839, 659, 112, 674, 760, 528, 157, 654, 518, 242, 633, 584, 634, 227, 123, 858, 334, 178, 824, 291, 379, 634, 882, 826, 903, 933, 480, 740, 192, 772, 336, 796, 134, 478, 903, 60, 772, 804, 21, 801, 654, 355, 40, 740, 716, 523, 677, 674, 9, 791, 204, 213, 390, 949, 436, 894, 90, 954, 421, 413, 619, 267, 65, 817, 909, 939, 268, 505, 588, 331, 782, 142, 7, 364, 794, 209, 476, 24, 766, 515, 978, 453, 633, 715, 310, 289, 767, 588, 27, 801, 647, 361, 643, 782, 178, 358, 512, 587, 721, 841, 183, 423, 123, 275, 594, 383, 953, 899, 191, 857, 4, 323, 517, 310, 953, 341, 241, 464, 99, 223, 945, 123, 291, 245, 965, 815, 293, 769, 779, 630, 254, 313, 177, 317, 116, 128, 276, 675, 736, 52, 136, 273, 491, 25, 523, 422, 383, 122, 9, 82, 605, 221, 516, 508, 940, 797, 526, 494, 643, 671, 259, 827, 73, 704, 201, 518, 916, 521, 554, 621, 16, 169, 224, 124, 361, 337, 626, 701, 843, 219, 688, 187, 432, 44, 781, 856, 71, 873, 228, 401, 821, 425, 96, 618, 783, 223, 67, 832, 339, 820, 193, 885, 348, 258, 546, 285, 750, 52, 211, 91, 210, 487, 504, 826, 167, 430, 154, 388, 333, 813, 501, 230, 347, 614, 179, 361, 664, 34, 746, 761, 90, 817, 978, 379, 442, 32, 516, 340, 519, 926, 115, 991, 157, 493, 103, 653, 794, 609, 57, 675, 143, 282, 82, 633, 812, 368, 966, 131, 790, 725, 934, 74, 553, 766, 503, 677, 33, 869, 964, 788, 816, 402, 721, 738, 233, 594, 585, 314, 440, 913, 941, 835, 43, 205, 207, 60, 34, 989, 460, 150, 825, 475, 326, 288, 712, 907, 693, 30, 506, 218, 234, 534, 212, 358, 375, 345, 398, 312, 158, 303, 14, 702, 337, 349, 265, 623, 15, 7, 678, 89, 598, 558, 377, 787, 242, 808, 714, 178, 541, 739, 440, 891, 268, 330, 384, 53, 988, 882, 712, 545, 705, 67, 112, 147, 259, 43, 597, 41, 31, 99, 109, 405, 525, 376, 263, 610, 840, 363, 276, 854, 950, 746, 429, 655, 628, 676, 218, 522, 670, 650, 287, 741, 337, 514, 103, 830, 789, 5, 853, 290, 552, 605, 551, 475, 493, 116, 685, 913, 521, 844, 144, 69, 125, 192, 655, 836, 0, 690, 880, 93, 3, 908, 852, 810, 876, 497, 487, 773, 807, 820, 64, 915, 988, 958, 822, 941, 177, 981, 722, 366, 122, 598, 693, 129, 90, 471, 706, 525, 979, 129, 537, 965, 664, 295, 448, 636, 626, 305, 66, 560, 261, 316, 916, 720, 491, 422, 850, 627, 86, 905, 802, 154, 165, 182, 286, 141, 40, 891, 281, 341, 354, 958, 705, 844, 939, 137, 382, 682, 684, 559, 331, 517, 891, 659, 782, 688, 104, 672, 799, 938, 227, 791, 258, 694, 396, 699, 857, 13, 147, 22, 989, 492, 667, 775, 179, 359, 730, 843, 453, 270, 703, 817, 922, 842, 819, 117, 725, 103, 124, 936, 699, 353, 222, 607, 248, 643, 336, 578, 151, 726, 938, 567, 602, 396, 635, 704, 175, 409, 334, 351, 212, 113, 850, 661, 992, 281, 964, 113, 609, 422, 126, 954, 474, 299, 266, 558, 212, 156, 929, 709, 838, 431, 637, 791, 352, 170, 466, 373, 691, 394, 657, 143, 311, 146, 701, 400, 363, 609, 472, 473, 117, 656, 456, 115, 60, 18, 656, 402, 278, 697, 973, 348, 648, 385, 186, 453, 776, 276, 461, 166, 93, 416, 91, 174, 799, 125, 33, 720, 279, 614, 779, 599, 905, 431, 876, 689, 749, 603, 424, 295, 0, 84, 825, 913, 346, 48, 611, 991, 407, 865, 39, 755, 685, 514, 794, 898, 393, 426, 756, 295, 966, 398, 614, 538, 930, 948, 379, 887, 736, 64, 77, 703, 835, 434, 187, 523, 163, 224, 781, 427, 566, 907, 579, 775, 684, 79, 852, 463, 392, 345, 991, 982, 540, 74, 566, 880, 494, 959, 272, 115, 16, 182, 582, 765, 412, 293, 104, 104, 859, 732, 842, 799, 318, 231, 236, 916, 734, 13, 726, 466, 451, 470, 335, 783, 132, 481, 543, 333, 483, 634, 23, 868, 685, 481, 855, 132, 726, 384, 846, 574, 811, 451, 524, 619, 314, 144, 15, 612, 238, 209, 574, 912, 124, 995, 887, 605, 410, 745, 759, 774, 198, 437, 749, 413, 513, 754, 632, 814, 30, 970, 353, 695, 299, 21, 625, 322, 893, 943, 190, 750, 348, 146, 729, 658, 172, 833, 545, 196, 754, 907, 805, 573, 126, 948, 95, 627, 190, 58, 301, 202, 49, 185, 866, 681, 904, 653, 478, 465, 471, 930, 612, 248, 977, 176, 17, 845, 246, 16, 552, 742, 968, 327, 607, 188, 577, 447, 785, 371, 454, 385, 183, 386, 682, 229, 400, 561, 969, 780, 719, 562, 461, 420, 819, 884, 499, 870, 958, 604, 84, 585, 546, 821, 870, 535, 174, 898, 917, 369, 906, 929, 98, 151, 921, 937, 397, 836, 985, 990, 384, 496, 574, 206, 710, 199, 630, 853, 420, 931, 563, 488, 483, 294, 141, 751, 735, 308, 69, 58, 193, 270, 722, 573, 928, 960, 220, 426, 554, 349, 206, 917, 827, 691, 147, 117, 778, 397, 180, 789, 293, 250, 931, 50, 988, 538, 480, 569, 64, 357, 428, 449, 403, 755, 590, 702, 38, 833, 301, 2, 714, 323, 962, 812, 630, 780, 735, 279, 499, 846, 977}

    Returns: {0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0 }

  131. 996

    {967, 358, 767, 35, 957, 538, 765, 987, 136, 76, 668, 494, 382, 862, 389, 242, 368, 784, 623, 434, 452, 612, 657, 930, 894, 199, 4, 908, 412, 403, 587, 826, 252, 827, 900, 812, 433, 246, 24, 341, 439, 823, 568, 611, 268, 220, 711, 568, 968, 259, 675, 89, 215, 17, 257, 52, 664, 8, 303, 943, 127, 658, 670, 151, 728, 294, 607, 871, 398, 915, 664, 307, 378, 969, 50, 330, 62, 892, 675, 418, 354, 230, 167, 218, 380, 969, 940, 453, 509, 317, 438, 379, 479, 779, 19, 632, 251, 412, 924, 972, 751, 490, 123, 796, 995, 413, 90, 11, 11, 399, 229, 392, 589, 329, 457, 204, 265, 225, 340, 166, 951, 369, 817, 591, 59, 745, 686, 588, 267, 332, 581, 284, 490, 708, 646, 138, 828, 931, 911, 194, 121, 166, 966, 239, 232, 311, 988, 490, 239, 473, 444, 424, 216, 343, 410, 436, 786, 520, 264, 862, 842, 447, 669, 815, 17, 471, 465, 892, 935, 47, 380, 21, 169, 435, 496, 749, 416, 468, 940, 140, 803, 175, 874, 694, 746, 788, 530, 558, 932, 32, 25, 701, 760, 481, 24, 159, 410, 339, 925, 142, 714, 793, 99, 182, 610, 271, 624, 807, 2, 130, 157, 527, 932, 189, 804, 395, 40, 839, 884, 6, 12, 224, 747, 942, 690, 531, 38, 286, 0, 291, 176, 8, 946, 715, 70, 844, 53, 818, 388, 894, 120, 421, 140, 734, 459, 222, 244, 38, 578, 95, 798, 732, 69, 153, 387, 157, 543, 682, 432, 865, 830, 572, 789, 6, 869, 979, 982, 477, 309, 804, 343, 986, 103, 757, 489, 848, 270, 807, 104, 359, 495, 722, 63, 217, 799, 4, 949, 203, 212, 625, 624, 456, 627, 294, 108, 830, 622, 48, 911, 733, 453, 30, 164, 395, 12, 948, 778, 536, 53, 231, 216, 691, 283, 156, 172, 631, 435, 254, 467, 52, 601, 766, 122, 903, 144, 953, 195, 640, 565, 814, 410, 676, 707, 609, 506, 897, 365, 455, 318, 951, 100, 131, 534, 611, 159, 827, 632, 656, 4, 904, 2, 783, 627, 235, 608, 597, 479, 908, 51, 813, 545, 793, 743, 541, 385, 225, 309, 623, 261, 687, 493, 498, 341, 10, 122, 676, 733, 661, 135, 253, 524, 275, 336, 23, 359, 680, 311, 712, 980, 435, 994, 792, 844, 926, 557, 607, 290, 771, 713, 907, 116, 661, 333, 479, 556, 73, 819, 770, 283, 0, 714, 134, 915, 51, 413, 828, 207, 869, 83, 788, 476, 39, 164, 850, 699, 663, 745, 379, 246, 249, 685, 354, 543, 634, 296, 867, 663, 345, 724, 344, 179, 151, 145, 688, 486, 533, 594, 845, 760, 383, 921, 147, 374, 574, 546, 591, 106, 601, 538, 426, 818, 963, 111, 928, 388, 71, 285, 413, 217, 276, 548, 672, 722, 728, 783, 213, 703, 128, 433, 348, 299, 340, 226, 825, 521, 493, 85, 15, 619, 414, 943, 203, 791, 987, 432, 325, 62, 46, 421, 320, 916, 877, 369, 385, 895, 640, 981, 460, 725, 696, 245, 919, 14, 59, 256, 965, 165, 896, 994, 738, 138, 749, 366, 970, 819, 532, 461, 71, 547, 215, 932, 80, 849, 408, 226, 561, 881, 481, 509, 103, 545, 61, 332, 389, 575, 270, 484, 436, 329, 33, 701, 912, 891, 364, 862, 601, 437, 175, 519, 587, 275, 756, 467, 702, 937, 958, 731, 54, 73, 797, 978, 392, 693, 583, 595, 135, 247, 177, 353, 520, 851, 699, 835, 831, 823, 74, 906, 378, 918, 420, 120, 569, 591, 52, 468, 194, 167, 558, 26, 238, 886, 457, 308, 50, 16, 716, 175, 201, 897, 609, 90, 988, 339, 338, 299, 482, 820, 991, 803, 135, 800, 219, 522, 207, 879, 532, 233, 36, 885, 402, 158, 988, 603, 285, 278, 852, 83, 172, 433, 315, 969, 512, 694, 239, 408, 853, 641, 48, 825, 940, 396, 800, 418, 608, 71, 305, 302, 579, 131, 395, 916, 189, 154, 62, 45, 167, 826, 429, 761, 288, 698, 602, 674, 964, 417, 504, 512, 341, 629, 128, 587, 672, 35, 567, 211, 780, 583, 214, 437, 879, 64, 284, 69, 427, 865, 922, 157, 304, 739, 566, 249, 81, 707, 459, 935, 189, 811, 32, 251, 16, 137, 73, 326, 774, 277, 180, 407, 606, 956, 423, 598, 288, 784, 483, 322, 688, 916, 597, 552, 8, 234, 896, 318, 598, 913, 661, 801, 256, 701, 181, 855, 704, 40, 0, 86, 81, 904, 592, 505, 423, 995, 14, 461, 414, 247, 636, 627, 685, 633, 711, 9, 938, 861, 603, 504, 717, 853, 307, 712, 726, 631, 468, 10, 827, 477, 133, 274, 718, 524, 731, 393, 467, 159, 901, 18, 225, 812, 65, 137, 960, 822, 464, 691, 976, 106, 132, 732, 805, 294, 89, 552, 931, 198, 329, 347, 731, 312, 444, 118, 298, 648, 447, 884, 211, 629, 724, 928, 718, 554, 634, 816, 589, 447, 66, 205, 165, 541, 428, 81, 136, 210, 617, 943, 665, 799, 849, 182, 106, 317, 705, 28, 873, 470, 326, 791, 860, 485, 539, 431, 104, 122, 533, 886, 342, 514, 669, 654, 704, 675, 584, 574, 833, 798, 95, 489, 842, 617, 357, 485, 887, 116, 793, 462, 653, 734, 280, 21, 772, 685, 643, 914, 532, 97, 212, 36, 892, 43, 88, 17, 975, 967, 578, 900, 9, 802, 871, 764, 850, 503, 767, 245, 11, 449, 382, 150, 338, 588, 333, 276, 84, 797, 717, 316, 12, 195, 271, 476, 98, 822, 928, 48, 236, 758, 559, 658, 118, 879, 809, 816, 519, 187, 535, 162, 223, 394, 65, 182, 779, 708, 267, 53, 432, 871, 18, 258, 303, 981, 782, 44, 125, 80, 140, 427, 923, 224, 744, 936, 709, 273, 95, 846, 989, 556, 730, 152, 680, 756, 91, 89, 839, 964, 901, 101, 516, 209, 112, 312, 930, 800, 621, 973, 551, 697, 764, 802, 466, 440, 829, 952, 878, 278, 378, 941, 636, 350, 534, 460, 404, 634, 389, 70, 690, 457, 807, 387, 398, 176, 670, 270, 176, 790, 715, 814, 850, 264, 959, 645, 717, 973, 244, 68, 123, 151, 726, 273, 439, 234, 443, 315, 643, 392, 509, 503, 805, 816, 608, 711, 2, 599, 322, 193, 84, 973, 308, 14, 609, 254, 305, 770, 596, 514, 730, 992, 815, 367, 96, 305, 185, 506, 441, 901, 765, 888, 328, 483, 276, 948, 26, 41, 436, 679, 142, 922, 311, 568, 485, 47, 323, 317, 35, 955, 535, 193, 418, 169, 354, 510, 832, 993, 588, 298, 905, 250, 437, 911, 91, 320, 924, 826, 992, 979, 7, 325, 790, 466, 454, 514, 59, 336, 858, 132, 142, 195, 148, 180, 669, 531, 291, 811, 115, 648, 448, 40, 837, 79, 269, 772, 941, 319, 691, 835, 995, 132, 58, 750, 218, 597, 391, 747, 394, 926, 566, 227, 974, 504, 929, 209, 161, 277, 674, 55, 549, 632, 261, 878, 748, 115, 94, 220, 423, 512, 830, 120, 829, 646, 825, 921, 537, 37, 25, 880, 425, 404, 278, 416, 174, 439, 429, 102, 552, 811, 313, 78, 687, 809, 482, 946, 739, 385, 694, 600, 639, 972, 645, 592, 440, 570, 712, 922, 987, 438, 813, 853, 250, 111, 402, 87, 434, 462, 268, 743, 171, 209, 45, 316, 350, 709, 559, 18, 796, 828, 243, 722, 393, 455, 813, 99, 229, 699, 706, 231, 28, 745, 615, 416, 390, 302, 896, 441, 759, 137, 25, 630, 610, 975, 186, 5, 371, 602, 138, 929, 357, 230, 525, 952, 309, 181, 408, 405, 907, 46, 941, 918, 861, 761, 572, 770, 30, 719, 643, 622, 415, 650, 258, 370, 359, 441, 20, 168, 718, 224, 581, 986, 480, 728, 887, 54, 707, 860, 9, 286, 337, 540, 234, 396, 7, 338, 369, 49, 799, 666, 200, 344, 74, 213, 923, 750, 202, 974, 567, 870, 401, 325, 546, 936, 734, 719, 960, 168, 611, 886, 974, 123, 299, 487, 114, 152, 143, 817, 538, 144, 20, 566, 425, 947, 663, 629, 429, 407, 168, 831, 456, 267, 695, 554, 823, 327, 802, 134, 574, 819, 348, 709, 708, 794, 49, 659, 814, 63, 32, 636, 615, 660, 451, 720, 964, 272, 24, 507, 758, 910, 846, 744, 801, 564, 102, 188, 349, 919, 411, 144, 119, 357, 639, 131, 194, 460, 742, 986, 751, 362, 258, 271, 79, 794, 869, 170, 505, 837, 696, 929, 697, 966, 873, 910, 646, 297, 950, 324, 38, 978, 20, 554, 918, 453, 282, 400, 771, 350, 454, 42, 536, 980, 245, 381, 339, 963, 736, 953, 481, 478, 952, 50, 153, 56, 7, 193, 604, 85, 762, 251, 383, 894, 202, 796, 589, 931, 898, 612, 10, 758, 134, 148, 835, 668, 28, 165, 926, 656, 521, 427, 876, 642, 345, 82, 947, 148, 820, 178, 374, 772, 461, 668, 747, 865, 913, 407, 953, 172, 618, 49, 421, 261, 976, 241, 411, 104, 801, 873, 99, 558, 274, 185, 727}

    {673, 673, 161, 464, 842, 742, 419, 231, 377, 656, 654, 377, 914, 910, 580, 434, 624, 868, 763, 301, 844, 833, 667, 917, 849, 677, 181, 787, 882, 760, 158, 977, 139, 755, 762, 240, 404, 686, 673, 124, 240, 96, 982, 837, 127, 403, 909, 310, 411, 102, 347, 105, 486, 187, 945, 861, 933, 336, 252, 659, 915, 124, 500, 124, 889, 260, 314, 562, 613, 895, 834, 458, 60, 920, 295, 107, 955, 473, 981, 66, 450, 957, 496, 845, 368, 141, 530, 301, 64, 777, 678, 872, 755, 72, 555, 162, 880, 909, 391, 776, 682, 727, 113, 679, 878, 442, 703, 721, 113, 212, 130, 287, 90, 383, 808, 743, 346, 970, 740, 257, 335, 769, 776, 380, 581, 527, 921, 756, 961, 883, 841, 662, 37, 289, 567, 638, 954, 164, 483, 843, 469, 945, 757, 414, 229, 219, 684, 590, 235, 345, 769, 866, 37, 759, 983, 513, 628, 214, 174, 155, 68, 542, 27, 642, 442, 36, 790, 606, 19, 777, 571, 638, 515, 700, 856, 582, 599, 864, 394, 355, 689, 604, 884, 272, 529, 237, 752, 156, 923, 980, 593, 979, 173, 642, 85, 898, 576, 794, 664, 218, 959, 183, 373, 296, 281, 443, 571, 391, 737, 110, 41, 211, 290, 515, 499, 173, 651, 890, 616, 682, 777, 738, 94, 804, 579, 789, 875, 970, 877, 836, 324, 548, 342, 845, 880, 60, 200, 384, 287, 179, 370, 208, 593, 832, 899, 454, 604, 889, 593, 77, 160, 870, 478, 527, 57, 226, 265, 556, 774, 859, 213, 44, 331, 516, 585, 720, 310, 934, 471, 484, 563, 914, 400, 971, 55, 511, 652, 550, 626, 909, 582, 202, 1, 989, 735, 544, 221, 227, 870, 334, 876, 625, 956, 184, 292, 5, 585, 610, 570, 867, 948, 647, 565, 881, 196, 242, 501, 191, 488, 465, 590, 759, 328, 492, 249, 939, 162, 235, 300, 600, 402, 491, 985, 963, 31, 262, 518, 141, 697, 684, 100, 150, 924, 573, 110, 529, 578, 314, 866, 33, 724, 890, 422, 564, 559, 863, 631, 710, 575, 492, 222, 23, 817, 192, 289, 88, 863, 15, 962, 406, 60, 494, 19, 787, 681, 602, 906, 96, 295, 867, 628, 733, 205, 43, 68, 353, 82, 121, 757, 320, 428, 856, 76, 704, 412, 105, 662, 55, 253, 939, 502, 22, 313, 409, 572, 487, 118, 351, 16, 228, 201, 469, 163, 262, 516, 933, 502, 539, 681, 282, 495, 247, 352, 61, 191, 809, 259, 573, 145, 337, 856, 966, 838, 190, 954, 322, 821, 766, 561, 944, 651, 975, 346, 732, 393, 521, 163, 606, 983, 810, 308, 205, 103, 446, 583, 551, 196, 472, 881, 678, 561, 788, 549, 872, 937, 368, 657, 499, 991, 57, 125, 613, 649, 198, 523, 268, 101, 187, 372, 780, 710, 353, 363, 912, 528, 109, 976, 375, 236, 177, 351, 655, 3, 34, 498, 786, 358, 541, 185, 192, 764, 428, 584, 465, 397, 654, 644, 430, 306, 126, 233, 302, 310, 753, 352, 920, 899, 478, 990, 792, 64, 31, 763, 841, 443, 406, 177, 935, 510, 533, 21, 495, 785, 893, 510, 349, 409, 127, 1, 713, 248, 508, 179, 860, 300, 723, 220, 962, 729, 34, 452, 815, 94, 822, 116, 420, 499, 56, 415, 335, 376, 645, 683, 129, 304, 942, 686, 206, 938, 595, 888, 143, 3, 493, 927, 518, 417, 445, 925, 469, 855, 523, 810, 716, 250, 482, 513, 128, 277, 990, 163, 463, 576, 334, 93, 937, 445, 313, 130, 913, 160, 500, 876, 260, 596, 279, 275, 87, 808, 806, 787, 233, 633, 221, 486, 215, 833, 544, 746, 585, 297, 577, 119, 887, 562, 39, 993, 228, 386, 39, 487, 284, 475, 366, 288, 105, 773, 906, 126, 942, 446, 938, 295, 372, 279, 27, 400, 488, 537, 653, 186, 264, 356, 78, 147, 77, 616, 557, 145, 961, 720, 540, 846, 458, 352, 579, 282, 605, 511, 403, 773, 406, 936, 419, 492, 888, 721, 993, 586, 618, 31, 323, 537, 361, 818, 644, 174, 263, 989, 178, 688, 401, 80, 984, 821, 318, 713, 719, 246, 917, 840, 653, 346, 549, 836, 984, 300, 65, 480, 735, 200, 812, 92, 347, 204, 965, 518, 253, 70, 716, 199, 834, 199, 477, 401, 852, 641, 647, 972, 72, 210, 448, 614, 789, 114, 595, 808, 775, 596, 76, 959, 555, 424, 852, 652, 361, 238, 547, 470, 575, 690, 86, 107, 761, 783, 517, 156, 551, 657, 171, 112, 623, 161, 78, 56, 792, 525, 535, 560, 390, 108, 577, 184, 949, 765, 136, 829, 289, 489, 553, 700, 553, 340, 262, 397, 459, 417, 753, 902, 125, 475, 41, 683, 520, 883, 323, 517, 155, 677, 279, 905, 508, 381, 847, 946, 778, 399, 660, 600, 680, 864, 630, 111, 42, 899, 274, 775, 982, 97, 431, 729, 779, 641, 269, 101, 576, 293, 283, 890, 399, 872, 703, 72, 166, 658, 178, 58, 902, 507, 183, 180, 526, 306, 960, 252, 560, 152, 342, 594, 273, 370, 786, 396, 768, 698, 337, 502, 859, 696, 741, 957, 692, 15, 505, 326, 598, 803, 528, 133, 919, 766, 244, 117, 371, 33, 985, 327, 280, 671, 449, 544, 377, 702, 662, 115, 805, 272, 86, 330, 450, 387, 497, 248, 781, 445, 30, 655, 312, 191, 474, 358, 355, 635, 292, 824, 351, 306, 580, 241, 149, 648, 977, 46, 426, 672, 695, 143, 851, 992, 364, 361, 183, 464, 47, 750, 256, 496, 67, 190, 649, 44, 674, 693, 891, 263, 248, 448, 954, 491, 684, 536, 107, 700, 573, 752, 243, 475, 171, 748, 752, 944, 934, 650, 332, 693, 735, 133, 197, 281, 384, 319, 365, 373, 290, 592, 874, 501, 640, 88, 13, 66, 285, 451, 590, 522, 497, 746, 991, 349, 848, 121, 725, 217, 751, 774, 626, 705, 618, 455, 463, 649, 692, 838, 208, 619, 854, 154, 371, 523, 741, 665, 452, 420, 431, 655, 599, 69, 637, 781, 190, 364, 605, 26, 92, 426, 903, 456, 569, 29, 334, 98, 472, 519, 905, 635, 749, 875, 494, 198, 206, 230, 977, 263, 864, 775, 507, 714, 63, 219, 474, 666, 840, 109, 854, 379, 748, 882, 968, 422, 851, 362, 129, 293, 560, 93, 223, 192, 855, 859, 553, 677, 727, 866, 962, 301, 93, 978, 75, 232, 398, 214, 955, 476, 753, 570, 424, 367, 773, 3, 321, 614, 472, 405, 315, 769, 994, 594, 286, 196, 319, 644, 651, 927, 945, 965, 474, 671, 425, 615, 529, 22, 580, 446, 723, 331, 228, 885, 92, 113, 780, 470, 806, 386, 67, 280, 737, 768, 782, 710, 450, 440, 170, 146, 203, 27, 210, 331, 539, 958, 188, 840, 930, 330, 564, 795, 153, 528, 652, 316, 563, 100, 741, 154, 908, 958, 170, 705, 550, 883, 961, 767, 303, 524, 619, 419, 834, 934, 409, 150, 637, 951, 266, 939, 221, 626, 307, 832, 754, 173, 542, 762, 241, 117, 77, 405, 83, 723, 637, 730, 365, 84, 188, 236, 843, 739, 900, 517, 820, 366, 726, 146, 545, 254, 498, 463, 971, 667, 422, 328, 638, 184, 381, 525, 889, 738, 501, 531, 335, 857, 67, 415, 169, 13, 158, 293, 484, 904, 367, 628, 895, 555, 542, 397, 87, 508, 740, 186, 898, 754, 614, 621, 155, 108, 522, 540, 515, 266, 110, 621, 967, 98, 798, 269, 360, 480, 882, 586, 204, 950, 639, 768, 355, 838, 557, 858, 141, 503, 13, 893, 356, 925, 660, 985, 776, 666, 54, 201, 237, 984, 742, 695, 29, 232, 260, 877, 281, 836, 473, 725, 858, 223, 678, 562, 255, 160, 390, 903, 197, 784, 681, 692, 197, 382, 534, 875, 430, 471, 550, 147, 363, 893, 237, 607, 582, 376, 795, 449, 444, 785, 139, 388, 488, 255, 362, 5, 97, 146, 363, 824, 857, 781, 676, 689, 927, 778, 620, 990, 843, 868, 500, 58, 75, 721, 771, 314, 333, 296, 897, 956, 907, 584, 841, 139, 620, 683, 114, 372, 736, 874, 679, 625, 324, 530, 430, 848, 763, 526, 75, 321, 491, 671, 375, 920, 458, 119, 259, 208, 577, 547, 126, 298, 736, 466, 6, 376, 797, 356, 706, 240, 255, 304, 257, 616, 795, 670, 785, 620, 497, 698, 222, 791, 617, 854, 563, 839, 665, 265, 91, 57, 451, 546, 810, 1, 238, 526, 622, 715, 667, 569, 22, 933, 630, 971, 702, 243, 857, 847, 613, 831, 912, 605, 782, 511, 506, 242, 586, 34, 650, 43, 968, 438, 442, 885, 729, 343, 327, 950, 360, 863, 61, 543, 287, 949, 821, 321, 79, 74, 612, 706, 635, 129, 42, 633, 292, 868, 847, 565, 947, 206, 740, 344, 513, 902, 983, 689, 117, 348, 149, 548, 82, 266, 571, 51, 647, 687, 891, 227, 360, 375, 373, 23, 149, 386, 754, 291, 29, 744, 755, 944, 917, 207, 659, 603, 297, 109, 737, 112, 806, 462, 374, 45, 384, 824, 216}

    Returns: {0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1 }

  132. 996

    {17, 309, 799, 434, 322, 31, 965, 881, 749, 621, 661, 29, 267, 654, 472, 735, 396, 392, 215, 516, 238, 79, 907, 943, 316, 883, 424, 13, 705, 597, 419, 841, 482, 567, 896, 897, 75, 31, 50, 302, 528, 16, 129, 126, 991, 156, 150, 734, 110, 280, 396, 356, 509, 59, 7, 914, 565, 622, 807, 419, 651, 936, 854, 38, 843, 447, 90, 466, 908, 715, 429, 920, 822, 959, 879, 639, 945, 652, 366, 857, 762, 420, 327, 22, 308, 219, 230, 929, 659, 427, 987, 59, 471, 710, 767, 2, 333, 144, 346, 738, 788, 698, 675, 193, 253, 239, 496, 868, 14, 456, 311, 723, 528, 147, 675, 377, 809, 238, 873, 254, 40, 697, 309, 786, 527, 702, 48, 464, 351, 118, 684, 948, 716, 754, 147, 313, 483, 67, 159, 28, 37, 960, 247, 730, 907, 344, 222, 532, 841, 364, 193, 819, 584, 544, 827, 302, 927, 127, 808, 919, 215, 888, 479, 599, 922, 277, 709, 745, 337, 59, 289, 35, 865, 854, 872, 223, 245, 60, 266, 220, 664, 47, 421, 797, 802, 914, 320, 399, 11, 372, 849, 296, 212, 377, 678, 83, 502, 110, 716, 831, 792, 750, 891, 674, 692, 667, 800, 459, 284, 24, 21, 320, 157, 949, 80, 696, 979, 890, 467, 920, 275, 895, 392, 384, 661, 893, 370, 192, 503, 100, 705, 450, 645, 789, 766, 84, 289, 605, 554, 908, 628, 468, 995, 246, 183, 146, 820, 402, 508, 331, 191, 524, 895, 321, 528, 897, 637, 605, 571, 994, 719, 852, 375, 321, 294, 543, 770, 237, 129, 859, 930, 429, 889, 523, 599, 513, 325, 226, 909, 32, 732, 304, 497, 842, 311, 292, 310, 121, 145, 595, 251, 36, 24, 794, 414, 110, 341, 811, 975, 925, 155, 650, 490, 25, 572, 486, 99, 386, 72, 633, 730, 681, 721, 620, 816, 789, 606, 594, 919, 69, 138, 575, 54, 413, 261, 759, 824, 773, 743, 355, 27, 9, 93, 952, 742, 69, 853, 941, 899, 819, 687, 28, 405, 420, 102, 504, 508, 175, 974, 69, 149, 577, 870, 12, 19, 680, 557, 767, 405, 907, 252, 407, 265, 351, 492, 883, 77, 535, 397, 784, 240, 987, 497, 630, 291, 581, 589, 635, 976, 548, 240, 938, 629, 829, 56, 164, 903, 942, 265, 804, 247, 824, 456, 391, 784, 557, 590, 653, 223, 666, 900, 198, 898, 536, 256, 838, 395, 327, 79, 111, 178, 659, 616, 246, 155, 421, 394, 172, 411, 33, 664, 666, 399, 423, 267, 29, 769, 858, 185, 503, 655, 4, 157, 192, 264, 790, 72, 530, 505, 853, 236, 53, 568, 422, 814, 885, 390, 146, 943, 2, 36, 603, 679, 617, 73, 32, 754, 350, 166, 344, 413, 335, 256, 744, 304, 597, 428, 147, 382, 559, 607, 374, 794, 516, 968, 764, 670, 162, 203, 616, 703, 383, 77, 38, 472, 707, 982, 817, 790, 786, 231, 227, 910, 615, 646, 345, 506, 570, 480, 475, 940, 343, 600, 988, 488, 116, 426, 499, 571, 6, 74, 444, 343, 457, 62, 304, 275, 317, 730, 903, 265, 417, 854, 515, 18, 229, 80, 362, 450, 939, 824, 870, 862, 88, 877, 263, 615, 692, 76, 741, 252, 470, 498, 398, 27, 726, 47, 20, 757, 870, 568, 20, 6, 649, 836, 10, 607, 106, 568, 906, 594, 84, 613, 176, 868, 889, 581, 935, 430, 765, 346, 979, 822, 22, 17, 625, 635, 728, 817, 142, 946, 621, 220, 713, 769, 821, 893, 378, 19, 70, 559, 819, 689, 713, 14, 65, 333, 715, 755, 892, 769, 457, 56, 878, 683, 451, 100, 409, 969, 583, 103, 704, 239, 621, 12, 445, 619, 954, 489, 104, 379, 120, 353, 281, 375, 466, 724, 39, 121, 919, 743, 408, 95, 732, 269, 739, 94, 993, 74, 561, 938, 881, 167, 959, 939, 738, 974, 475, 403, 580, 956, 588, 635, 164, 729, 498, 654, 638, 631, 93, 428, 65, 421, 792, 847, 383, 559, 443, 253, 773, 738, 389, 203, 555, 72, 359, 350, 243, 369, 812, 353, 837, 783, 355, 982, 290, 7, 705, 612, 924, 691, 707, 74, 270, 750, 296, 805, 356, 195, 458, 720, 229, 467, 365, 701, 392, 859, 309, 623, 636, 199, 168, 13, 142, 189, 506, 838, 335, 948, 150, 703, 310, 746, 913, 373, 933, 310, 901, 766, 483, 888, 133, 930, 981, 374, 794, 439, 414, 48, 776, 795, 680, 472, 272, 747, 66, 185, 802, 639, 499, 509, 40, 521, 436, 94, 161, 475, 36, 932, 281, 527, 295, 64, 755, 603, 263, 915, 713, 161, 242, 43, 196, 764, 113, 810, 977, 462, 682, 893, 891, 806, 251, 940, 900, 76, 670, 638, 89, 160, 505, 446, 772, 289, 878, 243, 416, 18, 188, 136, 118, 248, 765, 903, 446, 371, 636, 125, 18, 560, 116, 75, 325, 577, 553, 395, 464, 434, 856, 286, 492, 931, 554, 50, 48, 962, 227, 306, 864, 508, 702, 5, 412, 321, 442, 244, 835, 825, 604, 992, 545, 552, 231, 330, 102, 277, 399, 341, 604, 296, 538, 6, 921, 837, 25, 88, 232, 645, 788, 692, 947, 617, 880, 174, 326, 913, 879, 11, 549, 897, 878, 514, 561, 380, 316, 203, 977, 468, 678, 776, 144, 58, 597, 493, 780, 995, 456, 291, 843, 829, 612, 591, 229, 370, 160, 534, 882, 273, 118, 340, 100, 682, 180, 84, 454, 342, 264, 149, 723, 402, 602, 39, 782, 758, 462, 811, 33, 127, 200, 939, 842, 415, 191, 973, 512, 174, 190, 680, 913, 577, 266, 872, 873, 131, 172, 426, 519, 414, 242, 924, 927, 179, 784, 991, 744, 514, 50, 731, 945, 557, 260, 438, 949, 975, 317, 7, 518, 471, 317, 891, 993, 237, 868, 120, 871, 409, 888, 634, 37, 106, 390, 502, 632, 572, 477, 28, 320, 619, 615, 459, 670, 112, 805, 690, 185, 40, 587, 441, 17, 872, 140, 245, 152, 476, 742, 877, 35, 927, 332, 241, 43, 940, 364, 772, 131, 202, 734, 914, 334, 25, 697, 431, 337, 440, 935, 752, 551, 220, 429, 965, 55, 856, 572, 166, 4, 267, 4, 335, 425, 867, 443, 226, 802, 176, 624, 915, 86, 473, 242, 583, 695, 275, 821, 313, 594, 754, 493, 311, 835, 631, 166, 286, 605, 764, 678, 890, 929, 97, 116, 435, 145, 831, 674, 926, 712, 560, 418, 41, 151, 694, 874, 932, 391, 905, 402, 624, 662, 853, 295, 331, 553, 806, 946, 619, 234, 73, 739, 645, 397, 23, 98, 195, 689, 87, 604, 695, 944, 146, 443, 435, 567, 762, 360, 860, 447, 648, 766, 375, 776, 981, 832, 194, 892, 749, 506, 542, 425, 368, 895, 210, 179, 795, 328, 638, 474, 176, 820, 468, 607, 833, 34, 263, 423, 535, 906, 112, 467, 640, 35, 492, 952, 420, 117, 590, 79, 415, 87, 359, 410, 418, 563, 99, 241, 353, 987, 740, 11, 5, 600, 759, 929, 736, 292, 9, 37, 525, 397, 938, 434, 282, 909, 490, 768, 210, 968, 532, 27, 993, 273, 706, 198, 62, 234, 327, 726, 783, 354, 167, 190, 222, 196, 423, 139, 971, 58, 548, 122, 516, 595, 706, 910, 66, 614, 760, 517, 301, 560, 838, 856, 493, 334, 982, 34, 21, 181, 200, 93, 112, 215, 231, 86, 30, 178, 435, 890, 194, 333, 550, 843, 988, 290, 31, 12, 499, 418, 241, 562, 430, 682, 509, 515, 281, 408, 702, 145, 828, 53, 425, 751, 430, 252, 188, 227, 32, 260, 515, 901, 752, 806, 464, 836, 482, 626, 979, 933, 786, 733, 662, 650, 885, 330, 168, 244, 476, 463, 283, 855, 13, 167, 325, 835, 312, 758, 728, 447, 445, 550, 41, 790, 155, 103, 908, 313, 152, 2, 652, 409, 757, 789, 86, 629, 428, 622, 710, 801, 16, 761, 258, 606, 965, 206, 264, 24, 905, 879, 896, 41, 921, 437, 305, 736, 662, 817, 474, 852, 460, 626, 478, 366, 94, 823, 458, 988, 581, 624, 223, 886, 534, 489, 34, 195, 233, 969, 444, 904, 490, 973, 921, 391, 935, 417, 236, 271, 632, 280, 629, 586, 849, 968, 699, 882, 91, 867, 975, 606, 928, 527, 295, 984, 832, 316, 498, 959, 238, 338, 288, 698, 696, 454, 132, 280, 520, 66, 236, 210, 554, 453, 270, 569, 240, 880, 482, 501, 102, 496, 427, 553, 788, 555, 334, 841, 910, 755, 471, 138, 977, 122, 122, 535, 622, 978, 342, 659, 23, 127, 340, 986, 745, 437, 616, 483, 243, 989, 857, 276, 407, 964, 807, 723, 514, 126, 966, 808, 774, 390, 284, 141, 272, 442, 497, 924, 394, 258, 371, 170, 573, 45, 892, 721, 565, 199, 507, 362, 850, 53, 183, 125, 16, 5, 385, 253, 351, 357, 779, 261, 964, 98, 247, 75, 503, 233, 995, 88, 887, 539, 992, 770, 836, 864, 211, 885, 876, 219, 555, 502, 967, 383, 757, 944, 792, 505, 52, 579, 298, 695}

    {379, 139, 534, 518, 279, 148, 189, 562, 376, 78, 224, 8, 840, 318, 970, 290, 439, 307, 565, 274, 672, 809, 529, 494, 558, 741, 745, 660, 78, 222, 630, 661, 168, 894, 424, 198, 190, 173, 218, 206, 277, 584, 536, 797, 546, 273, 357, 181, 994, 254, 814, 954, 677, 522, 523, 363, 197, 369, 641, 513, 125, 671, 404, 323, 26, 759, 245, 0, 886, 685, 739, 299, 139, 405, 791, 481, 201, 648, 955, 579, 796, 721, 207, 92, 772, 976, 642, 545, 457, 117, 361, 980, 300, 108, 209, 620, 683, 189, 78, 778, 239, 338, 709, 887, 342, 453, 691, 844, 288, 724, 158, 748, 352, 332, 566, 148, 214, 550, 668, 23, 813, 860, 822, 448, 665, 701, 829, 213, 382, 869, 773, 804, 608, 305, 445, 722, 834, 896, 235, 504, 208, 487, 381, 608, 213, 465, 653, 688, 704, 473, 216, 192, 81, 864, 961, 235, 863, 200, 558, 618, 197, 756, 407, 846, 901, 643, 566, 67, 537, 544, 451, 225, 688, 262, 570, 85, 380, 752, 634, 153, 876, 587, 899, 171, 217, 297, 613, 388, 177, 191, 602, 441, 541, 173, 361, 875, 123, 71, 485, 433, 762, 628, 749, 293, 363, 270, 811, 942, 894, 969, 411, 197, 533, 912, 648, 526, 863, 170, 135, 202, 958, 882, 593, 889, 609, 950, 923, 782, 748, 46, 588, 966, 628, 437, 381, 957, 930, 169, 834, 130, 912, 292, 494, 15, 970, 307, 521, 714, 282, 542, 10, 676, 255, 479, 643, 460, 65, 71, 751, 758, 459, 378, 575, 174, 603, 401, 133, 107, 484, 586, 547, 963, 67, 160, 681, 537, 763, 860, 367, 186, 684, 115, 278, 97, 257, 793, 382, 90, 182, 385, 249, 180, 825, 410, 954, 169, 711, 538, 741, 951, 105, 140, 593, 214, 345, 983, 657, 73, 221, 706, 463, 362, 26, 859, 452, 780, 154, 983, 884, 874, 701, 0, 1, 379, 651, 663, 134, 569, 104, 984, 972, 986, 775, 774, 68, 319, 466, 257, 38, 782, 717, 406, 928, 540, 728, 406, 228, 750, 731, 663, 918, 218, 642, 760, 455, 618, 283, 360, 517, 438, 257, 962, 815, 845, 301, 587, 285, 543, 212, 947, 61, 673, 287, 337, 324, 626, 352, 774, 920, 153, 232, 314, 867, 70, 469, 700, 349, 196, 376, 598, 718, 690, 52, 711, 826, 576, 601, 753, 963, 620, 329, 460, 193, 194, 823, 326, 941, 441, 157, 665, 530, 637, 259, 523, 51, 323, 712, 898, 259, 737, 803, 491, 761, 181, 733, 30, 228, 711, 791, 205, 807, 500, 214, 797, 143, 611, 298, 58, 894, 574, 704, 521, 537, 150, 805, 217, 322, 593, 406, 586, 165, 884, 869, 961, 204, 209, 377, 431, 394, 687, 187, 87, 685, 549, 735, 461, 341, 812, 39, 596, 204, 552, 487, 614, 135, 299, 651, 284, 717, 813, 904, 580, 850, 667, 140, 584, 300, 156, 268, 955, 495, 143, 926, 436, 152, 526, 556, 109, 208, 945, 422, 798, 709, 314, 866, 484, 63, 121, 647, 358, 980, 46, 851, 328, 400, 922, 644, 137, 485, 470, 833, 810, 312, 669, 873, 798, 211, 846, 124, 687, 877, 230, 218, 691, 610, 208, 542, 297, 660, 47, 158, 481, 184, 851, 826, 182, 348, 923, 154, 714, 630, 512, 748, 881, 349, 272, 386, 104, 419, 518, 793, 473, 777, 117, 743, 424, 404, 710, 610, 684, 771, 781, 916, 539, 339, 367, 952, 51, 268, 501, 111, 771, 403, 318, 282, 578, 591, 781, 436, 934, 96, 171, 510, 801, 68, 328, 108, 95, 204, 119, 737, 637, 871, 354, 449, 547, 855, 8, 825, 562, 800, 609, 141, 588, 742, 332, 107, 571, 269, 844, 339, 810, 225, 676, 574, 574, 99, 785, 564, 294, 563, 274, 685, 569, 763, 963, 201, 653, 544, 862, 60, 818, 448, 517, 465, 82, 184, 573, 595, 990, 567, 346, 625, 365, 918, 731, 137, 163, 388, 248, 858, 101, 667, 796, 955, 990, 495, 851, 740, 306, 834, 433, 465, 495, 668, 953, 184, 352, 958, 658, 936, 372, 928, 916, 546, 115, 132, 771, 646, 558, 374, 81, 522, 323, 912, 207, 439, 647, 576, 676, 300, 343, 315, 700, 689, 511, 491, 984, 795, 724, 763, 440, 488, 541, 617, 902, 876, 368, 598, 861, 761, 845, 250, 463, 674, 686, 785, 735, 718, 82, 61, 946, 978, 49, 114, 632, 244, 751, 694, 97, 816, 884, 525, 151, 105, 816, 582, 967, 349, 90, 308, 411, 686, 331, 573, 642, 201, 324, 958, 579, 770, 256, 85, 627, 618, 953, 848, 137, 714, 900, 861, 592, 219, 675, 775, 744, 556, 172, 656, 376, 512, 271, 43, 543, 866, 91, 450, 923, 15, 162, 633, 44, 978, 62, 589, 707, 221, 326, 400, 725, 120, 306, 481, 478, 1, 657, 91, 668, 846, 536, 55, 489, 561, 57, 158, 438, 906, 159, 276, 556, 821, 778, 862, 934, 432, 271, 732, 522, 737, 510, 818, 820, 432, 800, 989, 641, 915, 297, 416, 612, 496, 96, 61, 51, 589, 703, 531, 363, 179, 103, 205, 469, 10, 809, 552, 756, 175, 601, 128, 972, 827, 576, 479, 803, 716, 582, 886, 149, 598, 136, 135, 693, 564, 808, 344, 549, 983, 393, 539, 961, 83, 753, 656, 164, 504, 636, 165, 519, 694, 336, 950, 398, 89, 132, 926, 279, 611, 679, 452, 602, 898, 165, 500, 70, 640, 249, 729, 358, 230, 444, 845, 126, 169, 902, 507, 228, 580, 990, 717, 92, 225, 151, 585, 370, 962, 287, 294, 608, 693, 30, 109, 298, 235, 887, 154, 540, 356, 401, 746, 378, 303, 474, 720, 729, 830, 693, 350, 708, 985, 658, 258, 175, 883, 801, 246, 371, 546, 654, 833, 461, 347, 563, 775, 57, 266, 232, 29, 480, 844, 255, 697, 960, 9, 129, 494, 777, 347, 19, 592, 261, 361, 989, 610, 698, 259, 348, 303, 187, 796, 183, 564, 545, 541, 760, 134, 415, 781, 260, 291, 422, 357, 957, 677, 159, 299, 911, 128, 182, 533, 779, 974, 513, 293, 108, 314, 63, 385, 85, 144, 287, 302, 986, 712, 957, 585, 364, 865, 186, 725, 398, 123, 49, 433, 566, 768, 677, 500, 329, 649, 911, 369, 254, 211, 486, 173, 591, 941, 119, 904, 850, 633, 994, 976, 673, 347, 336, 92, 477, 733, 925, 389, 440, 42, 77, 681, 614, 866, 837, 454, 319, 644, 858, 136, 161, 600, 530, 575, 823, 455, 56, 89, 665, 170, 640, 627, 64, 949, 142, 931, 656, 985, 971, 688, 128, 734, 960, 511, 798, 840, 162, 570, 186, 123, 319, 722, 669, 0, 22, 217, 547, 477, 655, 815, 301, 455, 360, 532, 322, 966, 207, 452, 101, 124, 826, 427, 686, 793, 627, 815, 592, 359, 911, 401, 54, 393, 830, 727, 936, 462, 367, 26, 831, 453, 533, 671, 368, 480, 944, 274, 106, 52, 180, 671, 393, 234, 130, 649, 113, 874, 646, 799, 486, 526, 953, 650, 501, 787, 1, 33, 625, 307, 848, 124, 315, 865, 947, 753, 268, 478, 804, 354, 727, 303, 951, 3, 905, 847, 278, 461, 719, 937, 355, 138, 875, 403, 187, 917, 153, 276, 736, 623, 408, 14, 783, 902, 520, 664, 206, 98, 726, 720, 719, 813, 937, 839, 417, 673, 613, 596, 308, 8, 875, 585, 107, 484, 449, 828, 540, 60, 922, 305, 288, 380, 917, 324, 818, 690, 216, 44, 381, 857, 917, 971, 951, 233, 933, 209, 647, 134, 395, 803, 249, 767, 812, 718, 115, 787, 20, 529, 470, 373, 404, 852, 412, 847, 973, 178, 970, 49, 756, 373, 814, 212, 485, 880, 849, 76, 366, 45, 655, 262, 71, 105, 663, 658, 699, 660, 156, 747, 507, 177, 80, 336, 491, 722, 634, 551, 365, 44, 725, 531, 644, 449, 318, 416, 631, 213, 551, 827, 131, 251, 848, 400, 338, 384, 488, 871, 700, 148, 42, 83, 611, 972, 863, 948, 312, 286, 448, 708, 715, 524, 787, 262, 113, 64, 964, 42, 45, 942, 283, 699, 768, 855, 388, 511, 840, 57, 531, 683, 248, 609, 143, 410, 931, 869, 666, 46, 830, 672, 255, 387, 679, 348, 63, 3, 133, 95, 916, 451, 746, 431, 3, 828, 582, 68, 791, 345, 934, 15, 578, 599, 340, 224, 163, 82, 601, 899, 765, 330, 985, 293, 476, 747, 114, 389, 469, 141, 596, 925, 224, 799, 386, 991, 510, 918, 339, 413, 329, 932, 832, 740, 101, 578, 839, 623, 696, 384, 780, 21, 778, 643, 396, 524, 446, 432, 177, 119, 205, 315, 171, 163, 250, 909, 279, 956, 590, 372, 538, 55, 250, 285, 529, 54, 237, 708, 199, 641, 519, 777, 269, 442, 520, 285, 412, 525, 387, 992, 583, 548, 727, 785, 861, 226, 387, 130, 950, 669, 278, 358, 672, 943, 114, 216, 842, 81, 111, 639, 980, 652, 967, 188, 202, 96, 779, 981, 839, 426, 487, 109, 956, 657, 458, 221, 937}

    Returns: {0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1 }

  133. 996

    {438, 593, 578, 374, 576, 30, 451, 394, 343, 731, 481, 518, 365, 25, 268, 934, 208, 855, 858, 404, 832, 907, 266, 597, 351, 985, 116, 974, 189, 551, 223, 567, 784, 311, 292, 369, 702, 311, 192, 85, 854, 238, 729, 948, 122, 113, 334, 376, 507, 958, 735, 5, 755, 363, 779, 125, 258, 234, 363, 909, 150, 894, 379, 679, 515, 842, 451, 875, 87, 855, 763, 690, 425, 889, 679, 579, 107, 677, 489, 661, 60, 236, 117, 891, 225, 464, 787, 748, 963, 822, 982, 888, 286, 805, 890, 925, 407, 168, 530, 224, 859, 271, 332, 760, 925, 286, 48, 55, 988, 6, 755, 107, 232, 756, 91, 407, 379, 273, 689, 608, 734, 930, 555, 515, 400, 336, 553, 275, 781, 691, 407, 632, 797, 51, 811, 179, 203, 191, 66, 173, 711, 183, 704, 64, 707, 187, 797, 493, 776, 658, 822, 107, 497, 339, 344, 743, 972, 486, 135, 591, 259, 62, 377, 5, 749, 342, 960, 585, 628, 823, 301, 449, 583, 648, 535, 839, 828, 113, 35, 32, 274, 21, 320, 234, 834, 193, 910, 213, 614, 343, 358, 264, 707, 495, 580, 295, 863, 392, 384, 949, 614, 435, 707, 600, 94, 536, 448, 703, 825, 392, 302, 510, 761, 117, 637, 691, 477, 248, 290, 187, 775, 52, 126, 289, 620, 354, 860, 183, 121, 485, 873, 746, 650, 674, 572, 34, 316, 817, 740, 207, 966, 934, 355, 844, 788, 19, 956, 961, 313, 130, 76, 2, 912, 315, 177, 692, 262, 32, 96, 991, 553, 797, 201, 809, 219, 470, 706, 452, 214, 269, 268, 196, 570, 903, 470, 5, 286, 436, 747, 64, 831, 100, 224, 930, 471, 544, 660, 505, 943, 468, 708, 104, 967, 498, 696, 57, 281, 380, 103, 692, 566, 908, 80, 927, 60, 769, 82, 891, 732, 125, 438, 672, 889, 308, 111, 228, 247, 867, 144, 108, 114, 310, 301, 880, 399, 851, 814, 98, 93, 656, 627, 454, 739, 383, 894, 811, 211, 306, 123, 233, 82, 990, 450, 660, 159, 709, 52, 594, 446, 945, 693, 126, 836, 59, 280, 526, 57, 416, 344, 532, 879, 810, 434, 882, 842, 342, 596, 532, 818, 673, 622, 238, 9, 3, 130, 177, 715, 302, 256, 569, 588, 213, 169, 295, 496, 499, 553, 436, 755, 317, 313, 108, 71, 563, 789, 514, 232, 986, 633, 95, 946, 884, 203, 506, 722, 162, 359, 880, 348, 727, 10, 357, 513, 182, 528, 466, 692, 193, 567, 153, 287, 236, 112, 555, 240, 558, 196, 674, 752, 875, 761, 636, 491, 745, 767, 264, 247, 786, 248, 695, 302, 105, 496, 921, 296, 923, 317, 323, 87, 339, 963, 336, 316, 396, 140, 216, 738, 347, 518, 487, 868, 206, 12, 699, 299, 55, 766, 340, 217, 377, 206, 564, 955, 600, 589, 401, 644, 548, 337, 315, 297, 45, 57, 830, 245, 715, 612, 808, 827, 596, 657, 616, 624, 638, 716, 784, 77, 230, 58, 788, 640, 106, 458, 438, 643, 217, 718, 367, 589, 284, 492, 276, 554, 912, 422, 164, 253, 785, 847, 162, 927, 413, 816, 325, 352, 304, 786, 679, 658, 448, 112, 85, 852, 167, 628, 480, 313, 861, 353, 830, 751, 720, 843, 680, 860, 395, 452, 630, 729, 103, 25, 644, 981, 742, 600, 859, 333, 948, 312, 82, 398, 90, 645, 96, 198, 702, 568, 672, 536, 282, 897, 686, 638, 188, 806, 645, 451, 703, 967, 243, 947, 151, 87, 612, 892, 115, 923, 303, 548, 971, 950, 344, 816, 948, 642, 361, 64, 958, 873, 212, 83, 633, 677, 947, 120, 579, 539, 154, 367, 935, 812, 550, 522, 994, 876, 21, 27, 740, 494, 715, 706, 455, 482, 396, 81, 167, 965, 657, 372, 593, 417, 394, 905, 136, 510, 501, 101, 837, 440, 243, 888, 161, 143, 691, 339, 437, 525, 260, 494, 641, 38, 697, 829, 369, 378, 971, 855, 634, 608, 86, 599, 653, 615, 866, 93, 221, 795, 568, 988, 541, 372, 617, 723, 269, 391, 152, 204, 539, 7, 551, 962, 138, 111, 355, 336, 84, 563, 9, 382, 452, 820, 201, 689, 133, 289, 945, 28, 890, 946, 33, 774, 792, 35, 399, 710, 953, 89, 326, 922, 580, 384, 148, 548, 469, 907, 469, 170, 848, 894, 250, 582, 833, 203, 973, 22, 100, 852, 249, 392, 363, 494, 571, 255, 981, 273, 737, 67, 170, 639, 272, 591, 446, 147, 815, 675, 168, 522, 746, 415, 62, 896, 835, 111, 760, 784, 962, 250, 509, 639, 862, 930, 244, 207, 216, 143, 920, 76, 821, 881, 722, 780, 66, 226, 884, 936, 413, 96, 212, 512, 352, 589, 277, 697, 182, 602, 199, 357, 774, 834, 151, 806, 67, 598, 802, 353, 992, 137, 595, 580, 292, 695, 177, 527, 39, 872, 964, 973, 572, 531, 506, 396, 136, 609, 219, 17, 849, 482, 538, 95, 538, 122, 893, 582, 68, 441, 258, 978, 291, 488, 895, 748, 74, 86, 427, 727, 276, 884, 832, 412, 608, 262, 349, 94, 583, 783, 785, 627, 168, 185, 266, 685, 152, 446, 148, 872, 306, 579, 606, 300, 737, 12, 342, 918, 754, 541, 431, 525, 613, 918, 790, 662, 724, 399, 789, 651, 868, 398, 157, 320, 612, 389, 450, 582, 486, 72, 977, 676, 759, 288, 951, 745, 139, 660, 413, 664, 215, 550, 576, 167, 199, 783, 427, 517, 954, 892, 518, 186, 731, 860, 820, 505, 52, 704, 977, 689, 229, 467, 489, 42, 762, 206, 377, 77, 719, 744, 992, 81, 187, 726, 535, 957, 844, 947, 375, 195, 958, 265, 148, 146, 300, 826, 498, 610, 874, 467, 976, 878, 822, 44, 989, 291, 529, 39, 306, 182, 62, 190, 664, 774, 371, 734, 721, 445, 426, 699, 885, 490, 640, 10, 975, 982, 753, 554, 80, 432, 93, 517, 329, 402, 193, 710, 848, 519, 502, 221, 714, 299, 16, 223, 686, 519, 617, 783, 36, 924, 888, 245, 260, 227, 808, 117, 282, 123, 461, 794, 733, 603, 849, 505, 896, 650, 637, 145, 988, 51, 22, 63, 60, 310, 454, 847, 493, 44, 73, 204, 81, 185, 699, 813, 330, 322, 688, 802, 812, 590, 882, 833, 570, 110, 927, 161, 972, 307, 44, 291, 624, 253, 900, 120, 737, 780, 899, 457, 189, 354, 675, 887, 853, 487, 756, 230, 621, 165, 811, 769, 585, 284, 885, 768, 381, 297, 471, 966, 17, 440, 256, 116, 140, 188, 43, 765, 2, 664, 435, 637, 215, 989, 918, 369, 275, 601, 607, 254, 975, 128, 878, 226, 630, 539, 91, 829, 472, 417, 424, 640, 706, 650, 522, 566, 223, 445, 491, 131, 950, 588, 490, 237, 250, 315, 835, 702, 543, 258, 154, 517, 28, 750, 790, 329, 478, 845, 24, 406, 875, 42, 21, 432, 217, 676, 911, 909, 479, 682, 598, 127, 748, 874, 727, 779, 566, 36, 950, 243, 486, 813, 36, 946, 294, 162, 415, 104, 38, 406, 191, 417, 815, 101, 808, 921, 429, 78, 926, 309, 158, 261, 16, 71, 309, 479, 703, 595, 897, 781, 416, 140, 209, 550, 72, 1, 911, 547, 591, 213, 39, 511, 314, 434, 147, 974, 121, 659, 922, 48, 577, 964, 666, 786, 953, 75, 661, 593, 48, 1, 307, 823, 15, 284, 127, 919, 288, 71, 260, 501, 146, 731, 173, 513, 525, 183, 491, 643, 508, 515, 204, 114, 473, 133, 431, 17, 136, 585, 597, 532, 122, 391, 992, 144, 858, 549, 816, 244, 323, 785, 153, 312, 722, 70, 294, 329, 353, 201, 820, 628, 325, 125, 307, 143, 23, 817, 535, 798, 127, 549, 303, 265, 619, 653, 876, 583, 920, 842, 330, 730, 12, 94, 619, 274, 79, 416, 597, 449, 732, 65, 962, 32, 99, 375, 559, 909, 957, 567, 323, 34, 865, 174, 609, 256, 657, 619, 543, 563, 6, 549, 27, 455, 531, 391, 986, 510, 7, 989, 981, 200, 330, 422, 759, 92, 274, 109, 261, 79, 141, 7, 455, 512, 436, 63, 227, 382, 249, 224, 528, 151, 739, 137, 648, 921, 343, 858, 207, 653, 428, 230, 802, 606, 768, 648, 68, 236, 98, 982, 830, 412, 654, 229, 498, 943, 16, 740, 972, 480, 412, 375, 899, 911, 719, 150, 215, 91, 919, 165, 907, 654, 501, 63, 421, 470, 200, 716, 929, 309, 267, 569, 965, 79, 765, 747, 500, 994, 746, 426, 173, 745, 704, 964, 807, 273, 245, 186, 447, 325, 910, 372, 732, 852, 382, 739, 854, 66, 681, 489, 807, 4, 233, 893, 564, 209, 684, 644, 674, 221, 977, 240, 104, 293, 120, 744, 872, 677, 357, 462, 863, 817, 468, 466, 923, 190, 633, 511, 118, 791, 877, 15, 831, 864, 267, 109, 529, 304, 941, 269, 37, 662, 531, 496, 631, 137, 415, 495, 233, 319, 671, 870, 103, 781, 322, 88, 27, 388, 792, 910, 40, 596, 277, 170, 934, 643, 426, 340, 262, 355, 471, 544, 559}

    {828, 155, 831, 799, 642, 626, 543, 444, 561, 212, 384, 153, 892, 754, 348, 164, 968, 460, 627, 364, 444, 88, 483, 163, 263, 331, 175, 89, 724, 69, 618, 669, 43, 424, 280, 790, 464, 516, 216, 618, 932, 202, 558, 298, 601, 670, 278, 161, 240, 984, 160, 968, 35, 542, 623, 599, 902, 772, 341, 106, 698, 622, 688, 864, 584, 56, 149, 46, 197, 736, 121, 350, 520, 670, 356, 938, 255, 866, 618, 603, 362, 53, 270, 134, 871, 863, 444, 647, 906, 824, 634, 680, 509, 778, 869, 328, 565, 890, 98, 476, 456, 46, 541, 119, 799, 849, 642, 393, 234, 757, 856, 58, 928, 766, 561, 801, 387, 841, 49, 667, 492, 374, 61, 83, 869, 405, 632, 758, 904, 114, 798, 854, 913, 611, 456, 300, 652, 663, 156, 770, 710, 861, 431, 144, 621, 373, 464, 991, 670, 856, 244, 327, 47, 130, 45, 546, 528, 28, 792, 70, 199, 30, 90, 771, 874, 917, 645, 871, 403, 791, 865, 70, 503, 263, 741, 419, 847, 776, 723, 662, 288, 693, 521, 711, 362, 625, 480, 631, 636, 851, 554, 778, 433, 782, 439, 255, 913, 734, 351, 625, 459, 231, 484, 925, 829, 625, 771, 20, 482, 678, 281, 857, 441, 733, 195, 387, 944, 400, 14, 862, 26, 29, 926, 827, 479, 179, 805, 279, 652, 346, 592, 914, 33, 937, 388, 956, 798, 395, 324, 297, 843, 807, 30, 870, 11, 675, 41, 945, 270, 159, 574, 969, 349, 747, 993, 38, 246, 373, 762, 928, 932, 665, 575, 493, 931, 435, 615, 298, 832, 893, 949, 753, 887, 598, 271, 208, 110, 467, 285, 990, 131, 931, 821, 799, 649, 877, 712, 823, 172, 409, 700, 4, 605, 534, 697, 321, 635, 780, 961, 425, 666, 503, 902, 751, 726, 561, 713, 685, 592, 698, 73, 298, 853, 971, 20, 495, 571, 10, 990, 475, 428, 8, 361, 257, 316, 442, 197, 552, 318, 572, 773, 465, 788, 72, 940, 347, 623, 629, 474, 940, 839, 614, 346, 750, 69, 856, 441, 899, 763, 335, 1, 478, 368, 994, 18, 189, 185, 109, 902, 761, 468, 835, 477, 145, 647, 556, 242, 29, 914, 973, 235, 184, 476, 390, 105, 508, 356, 812, 411, 770, 364, 960, 15, 327, 779, 885, 155, 402, 723, 331, 983, 613, 421, 818, 225, 31, 809, 251, 497, 766, 308, 285, 959, 803, 936, 251, 172, 701, 536, 305, 837, 701, 821, 917, 530, 279, 903, 268, 34, 895, 285, 23, 687, 684, 682, 466, 846, 680, 668, 231, 423, 459, 560, 458, 324, 805, 629, 252, 869, 176, 537, 551, 211, 500, 247, 380, 985, 878, 749, 105, 826, 99, 801, 409, 635, 20, 943, 859, 694, 764, 420, 259, 218, 534, 603, 386, 952, 33, 578, 202, 135, 433, 782, 374, 500, 186, 156, 404, 119, 287, 750, 414, 767, 967, 725, 474, 267, 443, 963, 576, 388, 838, 228, 987, 89, 304, 571, 547, 295, 47, 194, 406, 574, 687, 521, 922, 917, 850, 453, 472, 678, 218, 696, 547, 334, 933, 211, 735, 73, 99, 511, 867, 209, 557, 540, 385, 751, 474, 709, 208, 828, 350, 354, 514, 198, 717, 733, 729, 293, 605, 252, 320, 876, 454, 84, 439, 390, 883, 279, 975, 437, 318, 956, 545, 328, 169, 931, 672, 110, 419, 960, 202, 360, 142, 299, 913, 895, 390, 949, 457, 584, 926, 914, 577, 983, 631, 775, 192, 54, 810, 473, 889, 303, 944, 877, 883, 725, 749, 588, 655, 819, 80, 157, 3, 242, 974, 636, 492, 24, 331, 882, 11, 499, 397, 673, 158, 394, 587, 560, 261, 537, 418, 647, 886, 514, 124, 742, 767, 592, 864, 13, 819, 883, 979, 708, 843, 378, 6, 804, 632, 443, 214, 76, 879, 129, 128, 128, 611, 718, 904, 937, 383, 280, 428, 69, 226, 524, 184, 366, 253, 520, 358, 929, 713, 617, 239, 538, 695, 188, 693, 150, 241, 13, 764, 156, 743, 434, 694, 40, 429, 178, 139, 658, 546, 705, 383, 646, 214, 463, 159, 92, 880, 192, 800, 251, 264, 638, 254, 916, 3, 429, 421, 191, 634, 826, 462, 804, 924, 655, 171, 507, 283, 709, 801, 40, 272, 301, 756, 578, 395, 263, 714, 401, 794, 768, 557, 758, 141, 235, 775, 655, 166, 763, 838, 220, 333, 179, 796, 984, 719, 24, 629, 759, 41, 311, 995, 74, 844, 778, 506, 2, 652, 4, 241, 118, 924, 56, 987, 174, 800, 993, 904, 430, 337, 651, 803, 149, 312, 84, 373, 328, 898, 712, 430, 504, 526, 458, 9, 449, 277, 942, 318, 754, 287, 760, 51, 569, 78, 700, 845, 166, 936, 205, 556, 100, 135, 257, 840, 726, 853, 270, 305, 520, 138, 129, 484, 232, 590, 338, 504, 65, 463, 542, 602, 527, 667, 616, 757, 825, 92, 879, 979, 741, 602, 393, 0, 115, 460, 326, 37, 663, 743, 308, 305, 29, 45, 340, 97, 108, 694, 102, 68, 124, 129, 74, 53, 370, 787, 938, 408, 933, 220, 59, 908, 289, 587, 237, 400, 321, 683, 101, 376, 959, 898, 542, 77, 939, 671, 610, 671, 53, 440, 163, 813, 8, 604, 900, 475, 668, 713, 222, 920, 565, 180, 165, 575, 360, 523, 887, 795, 393, 485, 239, 178, 730, 590, 607, 327, 314, 512, 42, 965, 586, 837, 386, 504, 88, 915, 966, 283, 906, 857, 771, 25, 97, 659, 364, 78, 639, 332, 502, 423, 13, 595, 663, 507, 485, 690, 574, 770, 283, 184, 296, 527, 800, 621, 951, 222, 848, 503, 50, 721, 559, 777, 560, 678, 836, 824, 951, 210, 906, 573, 210, 197, 402, 555, 976, 714, 624, 841, 544, 488, 333, 296, 718, 626, 752, 55, 229, 919, 984, 758, 545, 266, 705, 764, 978, 139, 611, 961, 176, 646, 205, 414, 557, 980, 968, 157, 450, 348, 772, 362, 351, 116, 546, 898, 403, 54, 690, 916, 481, 194, 827, 154, 248, 465, 380, 238, 338, 345, 983, 995, 356, 86, 432, 806, 403, 509, 175, 463, 978, 367, 897, 711, 867, 349, 488, 141, 332, 937, 687, 928, 228, 112, 846, 146, 324, 573, 437, 205, 235, 387, 257, 635, 422, 584, 453, 720, 0, 581, 730, 530, 846, 955, 365, 782, 623, 524, 765, 457, 725, 526, 606, 594, 610, 717, 521, 113, 499, 952, 220, 433, 43, 169, 442, 789, 683, 866, 132, 469, 586, 773, 31, 389, 556, 397, 791, 537, 408, 385, 616, 881, 389, 46, 850, 292, 424, 190, 839, 721, 49, 819, 476, 335, 134, 61, 954, 825, 787, 442, 59, 683, 345, 841, 378, 604, 490, 102, 241, 350, 935, 850, 970, 793, 401, 171, 649, 26, 370, 410, 665, 149, 414, 735, 448, 319, 712, 419, 523, 686, 540, 366, 368, 271, 905, 461, 381, 970, 793, 290, 265, 698, 840, 425, 952, 56, 814, 447, 641, 181, 160, 607, 410, 804, 954, 587, 239, 777, 986, 50, 249, 903, 836, 601, 371, 181, 134, 371, 166, 310, 317, 916, 180, 938, 545, 941, 420, 225, 599, 430, 278, 83, 810, 728, 281, 523, 132, 376, 124, 777, 22, 881, 360, 219, 252, 352, 944, 796, 865, 959, 568, 131, 242, 667, 408, 815, 581, 803, 147, 198, 932, 915, 461, 646, 502, 456, 483, 326, 345, 540, 868, 90, 891, 700, 985, 762, 254, 728, 558, 195, 570, 896, 145, 753, 688, 411, 65, 615, 386, 409, 180, 752, 423, 49, 573, 564, 459, 773, 200, 562, 824, 684, 160, 659, 0, 119, 969, 14, 562, 427, 420, 8, 661, 381, 620, 196, 18, 276, 338, 609, 565, 95, 738, 814, 106, 37, 666, 31, 741, 594, 102, 696, 152, 23, 886, 736, 845, 174, 900, 668, 969, 366, 176, 272, 222, 405, 290, 411, 368, 901, 41, 976, 669, 716, 901, 908, 473, 656, 460, 26, 987, 656, 172, 935, 676, 630, 534, 405, 293, 508, 516, 669, 738, 358, 278, 58, 953, 314, 728, 742, 957, 834, 993, 793, 708, 346, 613, 439, 126, 75, 513, 552, 776, 11, 991, 481, 453, 769, 649, 586, 181, 379, 912, 701, 995, 418, 519, 447, 218, 681, 133, 941, 654, 939, 682, 705, 359, 605, 321, 681, 19, 939, 14, 724, 294, 341, 620, 18, 851, 443, 385, 418, 158, 685, 529, 575, 231, 359, 361, 886, 871, 477, 142, 194, 50, 673, 370, 833, 929, 818, 483, 142, 905, 604, 577, 933, 516, 942, 404, 67, 794, 19, 319, 873, 210, 478, 497, 155, 980, 552, 85, 246, 796, 622, 533, 484, 562, 61, 980, 465, 533, 334, 840, 75, 857, 838, 626, 341, 487, 138, 335, 665, 227, 979, 861, 942, 163, 47, 581, 717, 175, 97, 347, 970, 123, 795, 524, 475, 651, 54, 533, 736, 862, 115, 641, 398, 809, 901, 955, 322, 178, 282, 275, 462, 410, 940, 132, 445, 757, 259, 118, 772, 915, 337, 870, 246, 720, 472, 171, 164, 744, 237, 365, 397}

    Returns: {0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 }

  134. 996

    {880, 416, 14, 676, 760, 764, 82, 171, 142, 62, 228, 891, 467, 796, 749, 378, 553, 668, 854, 313, 153, 514, 27, 862, 6, 268, 829, 452, 790, 871, 519, 133, 571, 181, 716, 547, 491, 218, 761, 451, 67, 404, 659, 79, 425, 225, 70, 367, 859, 600, 248, 323, 165, 462, 490, 538, 694, 907, 53, 151, 421, 326, 951, 808, 123, 963, 411, 751, 770, 733, 757, 236, 920, 526, 392, 197, 416, 539, 52, 194, 317, 461, 593, 904, 118, 84, 328, 270, 197, 905, 261, 592, 369, 53, 990, 919, 629, 614, 636, 902, 554, 632, 181, 109, 653, 232, 701, 752, 704, 177, 286, 590, 908, 106, 521, 111, 908, 152, 966, 986, 158, 22, 658, 265, 586, 367, 504, 165, 828, 271, 130, 796, 583, 912, 580, 390, 337, 874, 197, 338, 868, 587, 469, 769, 188, 804, 224, 707, 211, 964, 829, 697, 598, 54, 493, 352, 26, 288, 104, 619, 86, 913, 878, 305, 188, 601, 969, 803, 173, 178, 531, 498, 166, 450, 832, 326, 502, 414, 958, 6, 582, 854, 512, 798, 164, 390, 835, 586, 489, 815, 637, 728, 109, 278, 292, 644, 300, 855, 814, 431, 172, 49, 273, 891, 47, 12, 528, 746, 345, 537, 882, 452, 85, 179, 459, 161, 806, 386, 773, 180, 949, 147, 841, 175, 353, 529, 529, 661, 8, 634, 374, 530, 31, 984, 221, 89, 41, 296, 525, 468, 823, 147, 575, 133, 487, 335, 527, 314, 718, 373, 146, 813, 9, 157, 510, 67, 753, 676, 345, 245, 565, 55, 8, 994, 666, 755, 993, 52, 531, 396, 123, 407, 130, 836, 517, 953, 932, 435, 704, 393, 939, 590, 608, 678, 828, 362, 624, 682, 63, 47, 883, 758, 204, 72, 991, 40, 500, 875, 748, 448, 516, 691, 839, 138, 759, 543, 861, 765, 105, 441, 360, 501, 85, 498, 733, 789, 130, 912, 352, 279, 358, 679, 933, 39, 585, 796, 558, 551, 443, 490, 43, 501, 583, 222, 972, 926, 285, 233, 842, 729, 51, 466, 969, 384, 593, 977, 486, 467, 713, 736, 906, 605, 919, 512, 960, 592, 905, 651, 724, 62, 872, 757, 744, 46, 35, 137, 88, 415, 783, 675, 3, 124, 662, 161, 336, 979, 553, 18, 930, 451, 348, 303, 10, 323, 868, 950, 879, 360, 210, 705, 807, 548, 434, 201, 426, 615, 783, 217, 938, 932, 532, 731, 390, 804, 663, 44, 802, 731, 593, 764, 977, 202, 625, 244, 843, 304, 877, 384, 450, 188, 862, 399, 716, 838, 104, 533, 229, 521, 486, 861, 681, 298, 0, 896, 312, 77, 207, 15, 199, 167, 318, 383, 0, 731, 543, 692, 980, 942, 473, 691, 412, 716, 520, 752, 173, 535, 510, 619, 570, 339, 348, 243, 631, 787, 265, 692, 673, 286, 54, 178, 297, 732, 946, 733, 524, 204, 992, 581, 856, 56, 538, 841, 850, 389, 993, 244, 394, 512, 915, 380, 418, 800, 375, 811, 269, 155, 936, 603, 49, 888, 498, 53, 700, 714, 231, 750, 800, 647, 762, 579, 448, 7, 337, 253, 147, 668, 896, 58, 907, 156, 382, 57, 271, 68, 587, 428, 712, 971, 815, 34, 179, 21, 993, 389, 301, 121, 858, 705, 488, 200, 929, 126, 642, 478, 214, 384, 353, 659, 975, 740, 225, 133, 152, 864, 363, 886, 182, 323, 842, 987, 763, 233, 12, 644, 487, 951, 274, 537, 674, 856, 100, 432, 181, 814, 249, 392, 981, 687, 592, 684, 264, 187, 262, 40, 46, 183, 142, 637, 392, 86, 317, 673, 31, 43, 115, 854, 369, 502, 428, 889, 47, 893, 572, 328, 708, 125, 393, 287, 294, 672, 189, 578, 983, 911, 393, 898, 677, 855, 399, 632, 590, 797, 165, 904, 988, 383, 825, 50, 501, 574, 357, 465, 576, 855, 527, 185, 695, 701, 434, 36, 986, 578, 408, 192, 234, 343, 141, 978, 423, 808, 585, 770, 875, 536, 64, 750, 391, 821, 279, 668, 762, 334, 59, 109, 242, 758, 83, 495, 91, 542, 900, 151, 149, 696, 516, 115, 80, 504, 233, 886, 72, 211, 67, 177, 662, 527, 430, 237, 581, 77, 395, 40, 238, 148, 574, 453, 366, 295, 118, 988, 85, 376, 135, 664, 222, 113, 460, 460, 131, 722, 72, 312, 846, 122, 803, 289, 838, 905, 632, 693, 640, 150, 339, 524, 746, 91, 171, 517, 595, 790, 784, 66, 93, 600, 400, 183, 226, 882, 424, 64, 790, 264, 740, 840, 276, 856, 285, 150, 399, 171, 488, 345, 608, 435, 520, 356, 190, 478, 495, 15, 958, 626, 953, 887, 534, 582, 164, 610, 172, 105, 250, 607, 139, 57, 178, 482, 736, 447, 825, 867, 138, 502, 35, 615, 677, 364, 247, 121, 747, 264, 431, 715, 891, 305, 785, 452, 227, 717, 693, 460, 607, 903, 938, 379, 655, 604, 913, 2, 867, 709, 259, 378, 562, 706, 42, 757, 536, 74, 376, 818, 490, 798, 745, 979, 94, 88, 74, 324, 427, 111, 77, 859, 467, 992, 751, 766, 711, 867, 382, 698, 754, 336, 475, 795, 864, 580, 429, 879, 190, 875, 421, 251, 842, 434, 724, 957, 234, 628, 836, 443, 642, 695, 110, 5, 14, 50, 163, 712, 230, 678, 376, 980, 567, 370, 215, 709, 514, 633, 41, 959, 246, 765, 314, 139, 917, 274, 528, 961, 542, 974, 678, 616, 154, 532, 746, 30, 497, 395, 262, 601, 626, 402, 403, 981, 705, 956, 115, 201, 303, 397, 428, 35, 28, 595, 972, 735, 224, 896, 711, 537, 647, 561, 69, 722, 858, 217, 496, 981, 661, 251, 453, 928, 971, 610, 641, 182, 417, 713, 92, 201, 770, 522, 276, 30, 657, 482, 269, 929, 310, 950, 281, 310, 86, 701, 742, 833, 642, 481, 7, 475, 380, 671, 54, 720, 24, 727, 798, 343, 582, 363, 928, 173, 203, 404, 657, 932, 218, 572, 847, 305, 168, 182, 744, 588, 193, 514, 255, 9, 359, 971, 962, 336, 328, 804, 524, 925, 494, 562, 547, 43, 801, 807, 544, 223, 747, 283, 168, 672, 487, 536, 287, 204, 960, 661, 223, 277, 46, 555, 73, 615, 375, 628, 193, 529, 283, 749, 639, 321, 866, 930, 730, 212, 987, 89, 673, 579, 719, 717, 296, 246, 550, 373, 803, 342, 18, 697, 878, 532, 482, 81, 520, 114, 310, 96, 944, 96, 910, 295, 306, 591, 382, 535, 269, 257, 558, 489, 881, 874, 530, 640, 531, 588, 539, 713, 787, 191, 475, 83, 706, 425, 892, 289, 62, 356, 324, 805, 724, 895, 271, 247, 340, 835, 623, 125, 93, 247, 122, 327, 970, 646, 303, 170, 41, 911, 734, 942, 454, 339, 97, 66, 782, 176, 319, 249, 368, 788, 342, 811, 859, 270, 100, 902, 446, 528, 753, 636, 696, 616, 214, 338, 892, 844, 636, 641, 614, 750, 386, 167, 821, 594, 225, 805, 420, 871, 544, 685, 278, 385, 522, 948, 226, 850, 760, 288, 462, 309, 774, 461, 676, 880, 276, 429, 611, 91, 649, 663, 367, 663, 734, 806, 892, 438, 845, 424, 500, 565, 694, 228, 294, 486, 236, 869, 210, 163, 290, 874, 551, 342, 509, 175, 674, 601, 570, 180, 534, 354, 919, 391, 334, 960, 655, 755, 866, 988, 246, 287, 782, 889, 979, 811, 989, 352, 304, 526, 671, 211, 250, 319, 902, 7, 300, 833, 151, 114, 296, 683, 586, 558, 834, 177, 383, 136, 331, 58, 232, 318, 621, 380, 690, 534, 680, 96, 374, 879, 436, 611, 754, 351, 209, 815, 400, 629, 73, 25, 694, 330, 781, 658, 521, 138, 722, 51, 257, 826, 237, 562, 812, 412, 542, 298, 888, 942, 228, 575, 543, 52, 893, 619, 468, 270, 289, 774, 763, 505, 422, 773, 454, 788, 866, 89, 977, 126, 644, 59, 877, 533, 706, 104, 31, 549, 437, 481, 718, 318, 245, 93, 45, 57, 417, 214, 959, 422, 199, 13, 357, 38, 756, 218, 365, 922, 334, 588, 802, 407, 871, 459, 507, 691, 488, 911, 709, 137, 332, 17, 369, 290, 631, 65, 928, 50, 510, 783, 959, 230, 683, 497, 326, 893, 360, 257, 356, 389, 544, 358, 963, 473, 653, 657, 944, 459, 547, 659, 120, 261, 282, 232, 330, 821, 951, 414, 647, 223, 729, 624, 715, 658, 505, 574, 357, 913, 485, 898, 693, 413, 29, 15, 415, 309, 438, 436, 454, 368, 688, 395, 714, 753, 732, 333, 976, 495, 649, 34, 183, 56, 850, 944, 243, 613, 128, 822, 65, 808, 175, 769, 918, 715, 25, 734, 348, 80, 920, 154, 193, 931, 208, 788, 245, 70, 915, 807, 167, 422, 25, 137, 910, 894, 580, 940, 70, 940, 100, 749, 814, 494, 786, 113, 535, 626, 737, 253, 799, 898, 908, 166, 873, 478, 614, 991, 210, 696, 414, 379, 34, 523, 707, 882, 415, 186, 616, 14, 324, 244, 729, 785, 622, 801, 675, 568, 331, 692, 714, 424, 481, 688, 991, 762, 818, 779, 931, 869, 338, 2, 503, 438}

    {216, 476, 670, 196, 492, 909, 612, 584, 645, 606, 630, 982, 117, 794, 359, 332, 254, 87, 794, 513, 49, 767, 986, 411, 402, 169, 545, 975, 685, 90, 368, 79, 635, 496, 920, 934, 66, 215, 686, 759, 620, 442, 10, 386, 646, 511, 294, 895, 443, 311, 954, 107, 256, 652, 776, 964, 317, 128, 354, 26, 546, 925, 291, 509, 974, 560, 144, 433, 322, 108, 818, 195, 325, 90, 548, 617, 906, 622, 916, 315, 499, 313, 726, 17, 194, 721, 863, 75, 654, 754, 681, 635, 912, 321, 671, 292, 831, 195, 717, 629, 494, 618, 937, 837, 589, 554, 791, 464, 112, 605, 848, 761, 388, 105, 935, 229, 552, 571, 732, 456, 325, 597, 242, 900, 396, 719, 409, 401, 136, 643, 650, 8, 985, 887, 966, 332, 325, 196, 555, 157, 613, 28, 451, 38, 42, 102, 914, 148, 899, 16, 449, 347, 154, 436, 266, 771, 381, 682, 208, 275, 213, 860, 687, 743, 186, 827, 441, 747, 327, 444, 563, 969, 650, 982, 20, 609, 549, 192, 723, 346, 311, 55, 852, 449, 982, 903, 410, 419, 967, 581, 220, 723, 554, 923, 504, 573, 162, 82, 118, 559, 941, 191, 885, 13, 515, 252, 933, 299, 59, 153, 884, 627, 474, 313, 212, 477, 561, 735, 597, 44, 355, 781, 560, 143, 826, 444, 132, 594, 794, 272, 32, 252, 3, 117, 579, 860, 364, 740, 800, 209, 0, 622, 822, 572, 689, 407, 894, 883, 355, 370, 589, 489, 347, 442, 69, 791, 772, 817, 116, 872, 340, 307, 55, 329, 196, 564, 751, 566, 306, 683, 335, 974, 385, 612, 341, 491, 653, 956, 719, 198, 309, 458, 277, 180, 955, 992, 483, 667, 405, 742, 56, 654, 405, 176, 599, 159, 302, 189, 557, 945, 810, 281, 909, 853, 915, 930, 254, 377, 759, 371, 937, 816, 834, 187, 61, 607, 372, 203, 455, 968, 119, 433, 37, 61, 784, 307, 900, 816, 643, 638, 274, 207, 596, 471, 937, 163, 602, 127, 198, 279, 169, 457, 187, 69, 213, 1, 71, 984, 761, 119, 217, 985, 957, 27, 333, 571, 10, 440, 600, 703, 927, 827, 112, 687, 541, 145, 970, 155, 967, 897, 564, 410, 1, 634, 207, 594, 844, 410, 778, 106, 273, 277, 48, 941, 145, 445, 779, 972, 127, 430, 455, 479, 75, 299, 660, 397, 813, 476, 743, 120, 288, 881, 943, 431, 11, 538, 174, 844, 785, 823, 777, 298, 769, 221, 421, 401, 221, 377, 13, 417, 144, 921, 158, 741, 465, 371, 575, 778, 24, 881, 506, 299, 839, 206, 292, 366, 551, 166, 94, 832, 766, 238, 909, 861, 97, 872, 433, 17, 638, 445, 686, 690, 518, 591, 403, 776, 219, 635, 952, 107, 885, 791, 355, 281, 346, 824, 851, 739, 599, 132, 249, 519, 825, 39, 591, 570, 4, 725, 39, 447, 16, 227, 699, 839, 351, 876, 889, 456, 106, 786, 947, 656, 669, 185, 623, 12, 373, 30, 602, 159, 371, 492, 878, 689, 608, 322, 170, 429, 857, 301, 231, 906, 158, 209, 250, 11, 914, 819, 625, 530, 508, 634, 484, 445, 444, 901, 756, 748, 45, 772, 786, 234, 679, 823, 876, 989, 612, 662, 27, 863, 737, 359, 606, 741, 291, 219, 564, 48, 627, 71, 795, 735, 275, 541, 439, 321, 75, 172, 540, 293, 135, 418, 156, 789, 308, 160, 361, 191, 23, 330, 273, 767, 793, 603, 651, 610, 437, 32, 275, 358, 474, 533, 241, 995, 374, 272, 939, 784, 408, 726, 426, 140, 353, 361, 868, 307, 810, 406, 20, 33, 174, 682, 79, 361, 224, 78, 540, 437, 507, 681, 18, 943, 261, 652, 110, 853, 947, 858, 308, 23, 686, 620, 961, 266, 157, 665, 725, 840, 240, 552, 890, 222, 213, 485, 263, 688, 666, 243, 780, 65, 852, 903, 114, 923, 81, 976, 712, 107, 11, 143, 633, 84, 835, 22, 21, 721, 927, 656, 36, 251, 126, 584, 466, 184, 940, 617, 365, 699, 258, 29, 346, 483, 838, 639, 203, 569, 266, 957, 677, 492, 939, 883, 797, 596, 777, 129, 1, 20, 946, 697, 708, 888, 470, 278, 388, 446, 347, 834, 603, 648, 463, 425, 388, 302, 208, 76, 585, 633, 134, 227, 142, 409, 343, 597, 627, 470, 990, 924, 523, 756, 894, 146, 941, 190, 775, 239, 922, 143, 546, 268, 220, 5, 426, 284, 170, 161, 186, 771, 830, 81, 611, 295, 349, 546, 609, 108, 153, 589, 689, 669, 456, 457, 945, 335, 19, 291, 464, 990, 954, 385, 728, 596, 5, 516, 739, 799, 698, 479, 978, 469, 781, 573, 98, 272, 28, 567, 684, 314, 45, 500, 568, 253, 864, 630, 127, 162, 483, 242, 975, 463, 102, 561, 698, 557, 726, 965, 560, 4, 141, 220, 556, 378, 557, 976, 235, 968, 239, 994, 664, 742, 60, 943, 846, 255, 226, 259, 122, 819, 216, 60, 730, 545, 819, 865, 205, 772, 918, 262, 290, 344, 680, 282, 652, 962, 351, 628, 577, 621, 94, 450, 924, 816, 789, 511, 933, 103, 33, 631, 948, 124, 840, 87, 505, 101, 284, 312, 830, 994, 82, 484, 550, 817, 198, 649, 19, 843, 890, 398, 322, 44, 413, 679, 829, 910, 439, 174, 90, 637, 849, 738, 405, 219, 899, 185, 476, 863, 541, 256, 782, 435, 16, 518, 890, 267, 202, 194, 471, 206, 306, 60, 605, 265, 76, 350, 777, 123, 145, 202, 231, 293, 832, 37, 132, 843, 496, 472, 206, 708, 639, 602, 873, 566, 765, 812, 485, 917, 793, 387, 99, 423, 768, 457, 743, 408, 664, 101, 973, 412, 773, 775, 230, 398, 897, 315, 23, 545, 159, 577, 420, 68, 950, 102, 576, 620, 802, 665, 703, 745, 416, 573, 179, 741, 134, 139, 71, 870, 567, 280, 284, 427, 116, 113, 810, 648, 618, 146, 427, 472, 83, 748, 297, 780, 895, 162, 195, 432, 848, 366, 857, 938, 4, 240, 200, 420, 948, 675, 837, 280, 795, 200, 809, 884, 822, 129, 965, 865, 440, 983, 921, 92, 387, 952, 728, 865, 263, 945, 700, 758, 606, 987, 584, 329, 727, 587, 99, 857, 929, 760, 654, 935, 473, 119, 630, 258, 702, 876, 744, 362, 24, 952, 703, 738, 965, 851, 124, 680, 32, 667, 449, 830, 670, 479, 559, 672, 967, 506, 936, 474, 563, 464, 205, 730, 995, 955, 6, 260, 553, 817, 155, 263, 241, 849, 792, 458, 68, 285, 556, 809, 286, 413, 205, 665, 73, 480, 241, 403, 799, 704, 282, 624, 828, 189, 995, 885, 499, 26, 92, 805, 710, 216, 448, 656, 300, 984, 847, 493, 702, 978, 778, 503, 29, 645, 723, 440, 966, 256, 702, 720, 643, 101, 78, 831, 768, 37, 970, 362, 577, 19, 160, 404, 508, 254, 962, 302, 236, 84, 472, 237, 400, 99, 934, 76, 559, 526, 229, 51, 192, 650, 141, 752, 973, 954, 354, 267, 117, 176, 38, 513, 695, 646, 925, 394, 685, 860, 503, 87, 112, 423, 365, 916, 199, 419, 95, 64, 621, 955, 499, 293, 768, 349, 870, 350, 418, 598, 439, 666, 240, 140, 341, 509, 618, 259, 63, 964, 255, 886, 409, 824, 669, 319, 568, 3, 555, 442, 63, 350, 144, 873, 283, 98, 316, 884, 961, 432, 149, 447, 792, 333, 95, 917, 849, 470, 381, 548, 349, 419, 820, 402, 463, 583, 833, 565, 248, 745, 837, 329, 641, 513, 337, 848, 9, 983, 700, 949, 599, 169, 48, 980, 406, 946, 525, 845, 550, 297, 660, 108, 539, 121, 97, 235, 963, 268, 340, 755, 901, 379, 841, 458, 411, 775, 623, 904, 397, 344, 935, 806, 267, 152, 406, 780, 238, 625, 552, 110, 831, 22, 140, 304, 617, 239, 430, 320, 556, 116, 301, 441, 739, 471, 826, 468, 869, 918, 949, 2, 824, 660, 725, 477, 42, 480, 370, 95, 508, 164, 598, 907, 522, 363, 809, 375, 922, 364, 515, 956, 767, 684, 453, 787, 852, 462, 515, 613, 578, 80, 887, 215, 779, 604, 466, 595, 377, 260, 936, 721, 820, 465, 897, 667, 793, 136, 160, 764, 344, 212, 812, 776, 120, 523, 813, 736, 931, 924, 150, 506, 484, 184, 61, 525, 480, 148, 394, 640, 604, 381, 916, 316, 540, 763, 926, 258, 836, 235, 398, 880, 862, 372, 156, 645, 820, 131, 851, 103, 98, 914, 921, 710, 103, 958, 280, 331, 491, 710, 477, 899, 248, 260, 797, 569, 774, 111, 968, 341, 517, 128, 58, 566, 651, 801, 78, 493, 690, 926, 870, 511, 497, 401, 927, 446, 469, 771, 901, 845, 168, 569, 738, 129, 519, 316, 507, 989, 125, 320, 315, 184, 461, 327, 638, 985, 711, 549, 311, 655, 135, 372, 33, 149, 727, 134, 947, 737, 707, 846, 88, 674, 923, 455, 252, 973, 670, 518, 563, 877, 36, 576, 792, 847, 609, 853, 699, 391, 308, 21, 74, 720, 131, 320, 827, 718, 934, 387, 648, 766, 953, 396}

    Returns: {0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0 }

  135. 996

    {403, 825, 287, 957, 782, 731, 287, 553, 606, 445, 895, 16, 92, 562, 268, 482, 846, 698, 21, 661, 500, 890, 660, 336, 490, 639, 662, 573, 940, 452, 447, 964, 789, 931, 135, 704, 11, 676, 738, 429, 928, 590, 202, 874, 543, 656, 82, 299, 521, 36, 725, 244, 938, 845, 800, 836, 825, 725, 148, 343, 173, 349, 237, 600, 743, 699, 810, 769, 222, 424, 431, 529, 701, 769, 785, 531, 675, 369, 888, 31, 439, 54, 887, 853, 650, 589, 9, 573, 204, 678, 468, 39, 920, 353, 181, 924, 319, 484, 694, 426, 490, 347, 738, 798, 542, 409, 478, 371, 542, 789, 69, 696, 775, 240, 155, 473, 334, 429, 593, 160, 761, 498, 830, 383, 228, 912, 532, 408, 764, 133, 264, 421, 282, 377, 990, 189, 883, 777, 302, 566, 528, 685, 883, 681, 466, 535, 451, 495, 194, 760, 462, 647, 390, 854, 105, 706, 858, 497, 106, 519, 559, 552, 387, 157, 377, 623, 902, 78, 492, 549, 966, 803, 293, 226, 603, 765, 259, 61, 665, 934, 825, 778, 241, 445, 702, 337, 746, 631, 925, 51, 362, 61, 916, 557, 678, 256, 826, 260, 91, 574, 752, 66, 488, 463, 752, 722, 55, 169, 5, 600, 39, 268, 10, 107, 238, 439, 422, 379, 705, 293, 169, 12, 559, 99, 127, 427, 86, 547, 629, 712, 977, 552, 508, 898, 64, 475, 27, 739, 440, 766, 655, 958, 337, 525, 34, 28, 551, 759, 6, 430, 473, 965, 642, 163, 900, 35, 584, 352, 582, 679, 271, 371, 796, 153, 890, 392, 79, 641, 130, 213, 958, 180, 433, 290, 116, 762, 121, 637, 217, 820, 801, 842, 194, 94, 383, 84, 706, 223, 657, 603, 941, 184, 459, 239, 590, 406, 539, 200, 8, 327, 786, 138, 906, 21, 718, 51, 639, 714, 389, 528, 341, 104, 217, 491, 968, 385, 340, 967, 735, 736, 611, 253, 697, 653, 432, 28, 850, 396, 595, 69, 622, 501, 855, 698, 862, 701, 254, 405, 220, 667, 200, 49, 497, 897, 914, 976, 659, 963, 500, 698, 341, 562, 459, 901, 913, 72, 831, 297, 342, 416, 380, 617, 739, 225, 818, 670, 491, 131, 610, 113, 57, 380, 938, 468, 270, 46, 135, 481, 181, 919, 158, 501, 441, 292, 918, 647, 307, 79, 411, 98, 332, 372, 639, 919, 688, 3, 904, 315, 565, 462, 294, 400, 416, 311, 241, 238, 504, 910, 201, 347, 166, 134, 8, 116, 3, 408, 972, 707, 989, 863, 163, 633, 133, 958, 140, 510, 815, 723, 690, 686, 213, 495, 307, 784, 252, 591, 935, 150, 785, 231, 496, 697, 605, 345, 306, 469, 743, 447, 310, 196, 263, 352, 838, 537, 398, 417, 573, 593, 14, 516, 712, 857, 949, 498, 847, 512, 605, 533, 747, 778, 629, 792, 385, 537, 760, 966, 9, 338, 658, 260, 896, 674, 165, 797, 821, 179, 44, 725, 279, 412, 422, 340, 434, 210, 991, 576, 947, 668, 752, 910, 893, 273, 859, 749, 536, 887, 493, 421, 670, 484, 348, 649, 985, 792, 787, 788, 160, 756, 574, 843, 42, 28, 378, 40, 829, 500, 643, 753, 286, 212, 160, 989, 813, 74, 480, 543, 614, 604, 642, 906, 972, 207, 576, 392, 777, 406, 963, 14, 766, 597, 727, 936, 99, 916, 363, 289, 338, 995, 114, 521, 633, 381, 648, 108, 465, 259, 899, 847, 359, 227, 110, 347, 727, 26, 682, 55, 9, 978, 276, 89, 632, 265, 594, 423, 136, 715, 699, 472, 146, 916, 990, 104, 18, 357, 241, 520, 817, 777, 420, 605, 628, 764, 262, 929, 61, 484, 566, 13, 855, 434, 456, 114, 113, 715, 899, 461, 230, 161, 609, 517, 63, 392, 150, 36, 350, 267, 867, 262, 935, 809, 911, 488, 820, 881, 294, 964, 426, 633, 252, 148, 853, 838, 913, 786, 376, 400, 878, 418, 849, 505, 399, 740, 979, 936, 618, 878, 653, 278, 207, 538, 286, 760, 263, 516, 598, 495, 193, 911, 790, 581, 897, 553, 469, 882, 665, 676, 274, 551, 222, 522, 194, 654, 765, 23, 778, 206, 458, 44, 853, 388, 671, 788, 979, 42, 453, 924, 678, 594, 658, 835, 122, 857, 286, 182, 891, 244, 267, 110, 111, 317, 240, 743, 225, 771, 652, 686, 804, 748, 784, 333, 544, 158, 304, 59, 205, 726, 654, 448, 166, 610, 137, 233, 442, 462, 660, 540, 565, 619, 638, 968, 969, 795, 244, 141, 408, 68, 924, 902, 635, 91, 950, 818, 439, 926, 26, 674, 970, 826, 892, 930, 819, 4, 552, 486, 772, 985, 65, 562, 43, 702, 673, 34, 637, 248, 93, 896, 571, 95, 845, 38, 584, 995, 703, 617, 325, 740, 672, 701, 146, 631, 342, 546, 93, 584, 817, 862, 685, 558, 236, 93, 383, 618, 384, 219, 957, 920, 885, 130, 528, 309, 917, 44, 706, 851, 503, 899, 791, 302, 829, 191, 926, 13, 944, 157, 210, 164, 906, 321, 722, 609, 211, 296, 293, 164, 89, 660, 331, 487, 478, 703, 219, 136, 821, 952, 954, 284, 785, 478, 894, 645, 952, 954, 908, 681, 441, 543, 575, 45, 912, 921, 148, 461, 343, 749, 97, 907, 492, 755, 684, 12, 587, 874, 17, 252, 581, 411, 95, 12, 912, 295, 254, 308, 945, 864, 818, 405, 381, 911, 516, 164, 567, 30, 117, 66, 292, 561, 268, 100, 363, 724, 568, 100, 248, 683, 102, 306, 940, 892, 793, 487, 424, 116, 977, 512, 784, 956, 46, 264, 628, 735, 992, 736, 297, 91, 902, 561, 134, 643, 947, 792, 99, 648, 811, 518, 712, 599, 311, 49, 891, 417, 602, 729, 258, 538, 493, 232, 333, 560, 58, 32, 504, 279, 883, 59, 380, 122, 166, 449, 357, 961, 638, 372, 503, 165, 16, 808, 43, 395, 847, 844, 343, 53, 894, 662, 548, 334, 310, 221, 86, 84, 156, 345, 435, 190, 211, 151, 975, 173, 736, 412, 910, 944, 49, 444, 707, 720, 811, 882, 604, 237, 281, 284, 212, 356, 721, 975, 111, 324, 449, 929, 654, 145, 141, 841, 542, 975, 287, 636, 807, 168, 346, 934, 129, 869, 939, 876, 65, 88, 650, 136, 686, 938, 40, 741, 493, 255, 813, 253, 629, 815, 731, 469, 881, 541, 907, 78, 404, 722, 591, 723, 400, 35, 806, 945, 447, 844, 466, 826, 987, 545, 317, 372, 876, 170, 735, 256, 487, 943, 696, 438, 643, 959, 407, 898, 359, 109, 313, 859, 326, 80, 931, 939, 467, 326, 457, 683, 305, 558, 896, 290, 322, 850, 786, 20, 364, 21, 820, 862, 189, 201, 433, 326, 211, 615, 420, 260, 930, 657, 180, 839, 854, 611, 354, 297, 522, 341, 591, 986, 68, 983, 945, 658, 277, 842, 399, 17, 840, 518, 421, 789, 424, 409, 139, 69, 270, 665, 779, 809, 127, 169, 366, 71, 926, 606, 217, 100, 394, 171, 305, 153, 764, 579, 65, 667, 611, 282, 807, 908, 390, 266, 650, 508, 438, 129, 309, 602, 913, 66, 404, 176, 709, 579, 47, 430, 230, 34, 10, 379, 175, 854, 240, 82, 968, 53, 397, 662, 368, 700, 642, 183, 262, 951, 458, 613, 607, 645, 86, 324, 304, 496, 555, 248, 38, 944, 375, 979, 594, 679, 193, 659, 142, 142, 931, 696, 739, 682, 897, 891, 73, 541, 55, 788, 117, 451, 815, 106, 454, 494, 942, 184, 876, 744, 842, 218, 994, 634, 416, 353, 775, 674, 976, 281, 486, 555, 653, 939, 731, 165, 564, 520, 802, 730, 329, 977, 1, 228, 824, 43, 694, 827, 46, 702, 758, 82, 927, 378, 637, 585, 720, 75, 978, 504, 325, 56, 526, 14, 181, 772, 141, 48, 536, 750, 610, 546, 39, 921, 713, 614, 315, 533, 263, 227, 58, 677, 449, 747, 376, 540, 809, 394, 700, 138, 427, 412, 151, 903, 264, 925, 1, 729, 119, 410, 56, 203, 285, 529, 107, 533, 371, 23, 440, 189, 331, 866, 930, 186, 951, 429, 149, 520, 153, 282, 726, 829, 961, 754, 451, 508, 155, 959, 673, 3, 84, 296, 473, 463, 98, 391, 671, 647, 523, 325, 551, 925, 321, 900, 715, 819, 703, 345, 435, 467, 322, 231, 470, 267, 734, 648, 324, 330, 949, 556, 976, 921, 797, 284, 24, 506, 126, 481, 967, 13, 333, 95, 568, 615, 78, 828, 404, 227, 869, 455, 257, 903, 265, 395, 336, 198, 555, 775, 109, 31, 834, 385, 340, 384, 332, 682, 807, 530, 704, 266, 983, 729, 470, 461, 515, 936, 972, 368, 232, 437, 571, 315, 119, 615, 151, 47, 526, 344, 24, 548, 991, 721, 382, 133, 718, 342, 690, 115, 296, 114, 233, 628, 766, 745, 435, 746, 559, 31, 855, 147, 115, 328, 838, 214, 740, 378, 413, 928, 38, 411, 770, 920, 254, 795, 253, 787, 137, 884, 373, 553, 588, 974, 885, 338, 310, 359, 395, 867, 270, 23, 538, 590, 970, 530, 50, 567, 671, 257, 981, 109, 864, 880}

    {526, 22, 887, 849, 606, 235, 418, 187, 923, 680, 10, 152, 1, 434, 546, 103, 216, 942, 759, 137, 907, 432, 123, 599, 393, 183, 773, 355, 299, 512, 48, 652, 147, 574, 741, 329, 106, 465, 298, 737, 669, 868, 889, 128, 18, 874, 235, 586, 168, 162, 879, 684, 360, 19, 929, 881, 527, 840, 644, 608, 313, 507, 575, 450, 186, 413, 721, 83, 601, 247, 717, 18, 67, 316, 63, 700, 120, 749, 614, 519, 808, 36, 418, 386, 182, 483, 115, 308, 142, 2, 668, 172, 489, 431, 980, 94, 501, 443, 776, 314, 716, 632, 734, 822, 149, 198, 970, 33, 716, 450, 962, 667, 690, 190, 880, 909, 796, 389, 709, 334, 497, 367, 870, 456, 389, 90, 367, 261, 455, 357, 651, 87, 943, 663, 656, 233, 370, 561, 251, 622, 634, 768, 541, 479, 905, 514, 635, 522, 294, 554, 261, 502, 856, 29, 309, 0, 173, 909, 771, 68, 243, 747, 466, 732, 621, 257, 714, 491, 523, 118, 174, 60, 730, 867, 388, 344, 800, 179, 366, 728, 515, 275, 246, 172, 793, 860, 782, 192, 312, 361, 213, 414, 880, 335, 147, 535, 222, 859, 710, 513, 971, 953, 585, 799, 410, 453, 119, 373, 878, 2, 330, 27, 669, 366, 922, 300, 220, 460, 283, 499, 563, 474, 401, 582, 901, 597, 427, 856, 588, 603, 728, 156, 132, 206, 230, 811, 679, 229, 992, 544, 15, 737, 918, 265, 464, 803, 442, 708, 961, 121, 761, 625, 298, 195, 11, 499, 88, 636, 763, 889, 833, 271, 79, 323, 828, 242, 101, 53, 247, 810, 524, 688, 269, 251, 532, 377, 903, 390, 691, 716, 409, 35, 511, 76, 991, 155, 914, 773, 852, 354, 279, 755, 509, 212, 351, 589, 98, 502, 831, 111, 988, 532, 960, 126, 15, 474, 534, 932, 737, 967, 953, 118, 799, 767, 188, 513, 954, 865, 96, 717, 598, 454, 494, 741, 225, 121, 557, 234, 612, 50, 787, 482, 183, 681, 328, 305, 308, 973, 877, 32, 444, 772, 350, 89, 468, 852, 879, 801, 794, 479, 774, 208, 808, 568, 306, 554, 719, 30, 176, 587, 362, 278, 489, 41, 255, 630, 824, 302, 797, 666, 767, 933, 402, 0, 112, 299, 780, 369, 531, 90, 472, 103, 754, 761, 617, 444, 946, 391, 884, 886, 335, 6, 152, 965, 428, 32, 323, 835, 214, 995, 50, 243, 318, 197, 827, 156, 239, 432, 806, 506, 123, 893, 190, 790, 733, 937, 162, 7, 19, 952, 744, 585, 387, 228, 664, 869, 236, 570, 858, 64, 933, 97, 52, 732, 83, 130, 37, 226, 669, 388, 988, 25, 620, 178, 620, 407, 521, 144, 687, 353, 865, 425, 661, 871, 937, 349, 973, 288, 22, 428, 354, 780, 489, 790, 644, 382, 234, 445, 922, 840, 331, 852, 969, 214, 72, 687, 318, 685, 569, 635, 798, 494, 601, 92, 288, 414, 11, 275, 592, 872, 569, 583, 525, 171, 596, 675, 870, 530, 26, 41, 983, 949, 81, 171, 344, 118, 505, 301, 851, 827, 420, 885, 329, 203, 85, 102, 391, 645, 969, 381, 64, 430, 143, 798, 17, 437, 54, 96, 560, 950, 796, 108, 708, 237, 316, 619, 477, 320, 738, 224, 812, 822, 120, 832, 365, 483, 312, 527, 251, 814, 505, 795, 988, 692, 624, 52, 846, 261, 139, 485, 507, 74, 47, 19, 718, 274, 242, 627, 586, 744, 456, 113, 476, 971, 407, 80, 250, 471, 601, 595, 959, 285, 971, 110, 800, 693, 314, 394, 57, 873, 128, 549, 303, 387, 443, 564, 550, 714, 452, 396, 580, 864, 298, 783, 280, 246, 205, 182, 16, 285, 596, 332, 632, 144, 832, 216, 375, 199, 45, 174, 928, 403, 779, 812, 909, 85, 866, 734, 170, 981, 608, 349, 393, 597, 511, 425, 30, 488, 769, 627, 464, 249, 234, 496, 348, 401, 77, 104, 386, 579, 144, 748, 361, 356, 123, 453, 457, 860, 804, 806, 245, 67, 634, 75, 567, 863, 204, 477, 138, 753, 612, 830, 320, 482, 177, 15, 783, 108, 167, 805, 962, 762, 987, 799, 879, 62, 226, 915, 957, 823, 184, 646, 974, 695, 77, 188, 600, 410, 877, 112, 757, 457, 419, 215, 351, 782, 566, 596, 454, 25, 719, 168, 828, 915, 425, 375, 40, 7, 29, 563, 290, 209, 239, 547, 85, 884, 663, 384, 986, 677, 613, 745, 989, 937, 618, 277, 88, 529, 303, 518, 861, 917, 923, 200, 398, 886, 76, 365, 124, 571, 304, 415, 509, 655, 816, 71, 105, 167, 280, 893, 661, 844, 295, 258, 713, 132, 460, 525, 360, 128, 719, 386, 956, 830, 280, 804, 572, 402, 442, 898, 871, 398, 479, 860, 480, 277, 70, 72, 767, 112, 272, 202, 179, 565, 358, 158, 216, 708, 592, 892, 423, 986, 243, 186, 464, 229, 140, 994, 865, 750, 723, 900, 668, 630, 431, 403, 951, 544, 649, 732, 676, 908, 875, 29, 369, 20, 6, 556, 5, 953, 978, 877, 848, 197, 4, 577, 624, 640, 105, 942, 485, 783, 981, 97, 176, 882, 895, 154, 74, 143, 805, 583, 578, 837, 791, 638, 894, 774, 625, 517, 872, 768, 477, 834, 805, 145, 992, 117, 746, 974, 250, 793, 140, 480, 178, 776, 616, 361, 919, 238, 355, 405, 193, 87, 580, 355, 575, 888, 180, 640, 711, 314, 672, 774, 350, 365, 889, 339, 588, 982, 623, 351, 187, 175, 646, 396, 781, 414, 990, 311, 994, 498, 646, 348, 191, 59, 781, 742, 322, 581, 875, 503, 413, 758, 932, 932, 802, 162, 187, 291, 763, 475, 161, 188, 823, 670, 640, 713, 868, 507, 443, 278, 195, 73, 346, 527, 122, 245, 5, 689, 446, 236, 773, 856, 810, 563, 577, 509, 607, 224, 619, 960, 196, 167, 534, 300, 616, 572, 872, 595, 888, 756, 843, 223, 688, 101, 174, 985, 814, 692, 922, 753, 336, 673, 471, 993, 289, 159, 196, 627, 890, 523, 675, 948, 748, 598, 199, 319, 984, 843, 941, 103, 446, 570, 362, 946, 626, 438, 300, 274, 621, 794, 948, 363, 393, 307, 549, 964, 514, 219, 476, 102, 833, 535, 564, 621, 175, 537, 215, 259, 695, 616, 822, 857, 727, 580, 759, 626, 841, 941, 724, 984, 814, 223, 437, 824, 965, 58, 247, 356, 448, 848, 433, 705, 693, 612, 607, 276, 536, 776, 71, 224, 762, 37, 178, 510, 20, 368, 689, 419, 812, 506, 604, 927, 781, 652, 159, 124, 791, 935, 861, 550, 327, 441, 780, 460, 67, 126, 207, 131, 415, 335, 763, 197, 463, 558, 149, 472, 745, 269, 73, 374, 323, 52, 382, 81, 751, 291, 75, 765, 157, 711, 231, 699, 863, 609, 125, 577, 539, 751, 204, 220, 707, 499, 48, 649, 659, 76, 455, 2, 125, 312, 850, 511, 835, 556, 458, 709, 623, 757, 321, 697, 465, 684, 364, 868, 209, 481, 554, 904, 301, 346, 770, 733, 397, 742, 510, 215, 956, 145, 578, 704, 560, 33, 154, 246, 620, 45, 625, 272, 821, 476, 161, 60, 695, 849, 63, 770, 379, 191, 8, 724, 94, 143, 720, 370, 742, 993, 185, 152, 185, 754, 866, 249, 905, 641, 836, 245, 446, 582, 33, 870, 62, 492, 42, 51, 816, 202, 283, 275, 705, 283, 513, 733, 273, 984, 4, 339, 201, 370, 170, 728, 70, 81, 281, 915, 467, 25, 837, 672, 663, 486, 730, 127, 125, 955, 250, 717, 858, 317, 291, 592, 195, 129, 135, 358, 24, 276, 817, 358, 751, 848, 132, 934, 436, 524, 146, 402, 545, 602, 586, 656, 572, 982, 470, 641, 547, 417, 711, 548, 904, 950, 316, 839, 832, 515, 993, 120, 502, 693, 839, 154, 92, 27, 680, 687, 576, 608, 192, 172, 955, 163, 77, 436, 459, 295, 452, 7, 593, 328, 980, 367, 836, 644, 980, 803, 943, 801, 677, 337, 37, 816, 987, 657, 208, 303, 177, 330, 833, 691, 875, 589, 841, 150, 134, 485, 374, 524, 490, 550, 471, 651, 545, 664, 960, 374, 124, 221, 692, 666, 831, 689, 873, 569, 292, 691, 519, 101, 755, 948, 440, 83, 845, 198, 177, 771, 399, 613, 837, 96, 630, 626, 255, 823, 206, 622, 185, 199, 419, 680, 229, 107, 203, 966, 436, 319, 235, 666, 813, 834, 955, 578, 373, 360, 218, 289, 57, 41, 90, 258, 514, 87, 901, 60, 208, 710, 851, 963, 271, 313, 636, 539, 210, 861, 272, 401, 139, 320, 256, 914, 221, 794, 802, 918, 62, 846, 232, 917, 54, 651, 22, 266, 710, 631, 80, 946, 531, 475, 242, 56, 982, 428, 423, 933, 376, 905, 655, 583, 159, 587, 422, 557, 483, 415, 131, 406, 599, 923, 448, 886, 534, 450, 318, 209, 819, 871, 540, 756, 426, 895, 927, 726, 683, 273, 973, 570, 327, 205, 249, 694, 757, 947, 624, 474, 664, 768, 517, 940, 758, 779, 192, 364, 269, 339, 750, 0, 962, 397, 70, 218, 288, 352, 301, 873}

    Returns: {1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0 }

  136. 1000

    {996, 409, 788, 604, 349, 840, 226, 904, 889, 726, 52, 153, 407, 529, 482, 569, 597, 252, 118, 14, 827, 457, 702, 921, 366, 867, 229, 724, 530, 511, 488, 673, 236, 331, 659, 94, 79, 319, 5, 735, 154, 321, 221, 811, 266, 92, 136, 309, 15, 423, 575, 500, 862, 115, 4, 373, 322, 940, 945, 521, 142, 620, 546, 58, 721, 501, 696, 380, 427, 72, 24, 300, 410, 310, 819, 64, 181, 855, 258, 650, 858, 849, 765, 830, 821, 729, 627, 207, 334, 945, 879, 828, 555, 911, 873, 373, 176, 519, 149, 926, 445, 507, 175, 529, 372, 483, 268, 290, 928, 93, 247, 541, 613, 247, 674, 243, 5, 692, 191, 20, 817, 843, 707, 514, 270, 375, 99, 271, 431, 976, 487, 467, 313, 843, 89, 683, 874, 448, 77, 421, 869, 323, 425, 385, 611, 198, 246, 875, 728, 994, 531, 470, 133, 895, 516, 288, 645, 921, 920, 367, 449, 34, 269, 488, 626, 590, 315, 525, 278, 509, 325, 834, 818, 47, 243, 778, 945, 754, 229, 997, 417, 873, 500, 0, 606, 866, 381, 260, 404, 947, 279, 907, 744, 156, 480, 499, 392, 976, 639, 197, 60, 729, 469, 171, 375, 327, 902, 384, 932, 233, 708, 575, 464, 958, 265, 760, 429, 906, 64, 262, 15, 751, 222, 107, 691, 655, 640, 732, 188, 375, 824, 528, 755, 493, 201, 322, 836, 830, 955, 594, 747, 853, 831, 629, 503, 555, 830, 446, 887, 497, 329, 476, 939, 528, 841, 895, 99, 711, 846, 277, 12, 935, 107, 171, 392, 158, 743, 208, 102, 319, 43, 582, 583, 343, 606, 704, 922, 772, 741, 856, 167, 770, 330, 577, 766, 368, 764, 614, 158, 876, 958, 991, 340, 387, 19, 218, 458, 114, 348, 772, 755, 95, 722, 535, 858, 95, 286, 216, 668, 608, 319, 885, 392, 882, 249, 862, 708, 142, 379, 9, 312, 418, 88, 562, 893, 653, 995, 5, 785, 444, 709, 860, 203, 862, 892, 321, 271, 935, 546, 482, 574, 152, 695, 627, 800, 682, 922, 416, 585, 96, 186, 764, 285, 344, 285, 411, 262, 171, 175, 370, 134, 664, 868, 429, 950, 314, 893, 361, 970, 758, 517, 120, 174, 74, 128, 986, 196, 351, 895, 689, 973, 679, 315, 150, 520, 170, 347, 736, 684, 494, 94, 294, 305, 433, 153, 326, 867, 99, 928, 364, 1, 598, 450, 924, 157, 147, 885, 403, 219, 124, 308, 79, 259, 97, 275, 529, 585, 726, 679, 780, 261, 449, 609, 971, 476, 976, 781, 803, 251, 831, 779, 788, 631, 822, 182, 563, 261, 967, 256, 930, 94, 377, 332, 364, 114, 95, 568, 658, 137, 572, 794, 769, 131, 482, 245, 219, 466, 233, 367, 362, 494, 855, 483, 15, 358, 820, 689, 823, 354, 481, 183, 593, 939, 151, 662, 239, 759, 75, 583, 411, 324, 217, 187, 592, 462, 122, 798, 264, 870, 761, 561, 622, 274, 242, 861, 539, 183, 163, 396, 756, 877, 455, 166, 965, 820, 650, 133, 957, 765, 768, 334, 193, 571, 925, 486, 693, 462, 487, 327, 437, 115, 924, 569, 507, 694, 163, 333, 294, 316, 139, 505, 207, 269, 162, 753, 61, 839, 315, 977, 58, 810, 416, 531, 351, 405, 885, 86, 610, 51, 644, 343, 574, 492, 552, 630, 750, 602, 152, 0, 317, 740, 322, 470, 240, 3, 477, 126, 834, 882, 92, 394, 849, 713, 850, 507, 531, 255, 448, 362, 516, 929, 18, 354, 233, 453, 483, 547, 300, 779, 668, 695, 413, 238, 80, 42, 494, 484, 921, 731, 449, 299, 912, 518, 147, 552, 107, 675, 78, 524, 246, 372, 686, 191, 561, 809, 665, 780, 602, 654, 663, 874, 584, 7, 813, 934, 616, 982, 37, 504, 844, 163, 433, 36, 977, 652, 169, 45, 271, 754, 124, 183, 737, 785, 122, 566, 756, 622, 680, 210, 443, 803, 155, 953, 165, 316, 985, 457, 282, 596, 417, 203, 31, 302, 564, 827, 566, 767, 61, 444, 530, 526, 473, 317, 89, 770, 470, 833, 430, 978, 913, 863, 503, 188, 385, 228, 254, 490, 221, 369, 752, 54, 716, 584, 103, 45, 513, 545, 802, 388, 409, 684, 831, 205, 674, 986, 811, 737, 903, 839, 208, 161, 176, 580, 167, 188, 561, 719, 621, 447, 580, 892, 930, 329, 378, 63, 149, 486, 583, 998, 423, 410, 313, 477, 345, 719, 902, 719, 346, 955, 644, 151, 905, 406, 139, 649, 907, 741, 201, 629, 702, 278, 467, 787, 836, 631, 776, 664, 776, 770, 604, 838, 218, 835, 667, 672, 623, 429, 994, 866, 778, 858, 424, 899, 565, 903, 306, 586, 302, 840, 200, 45, 490, 906, 435, 683, 391, 342, 889, 210, 161, 717, 328, 71, 845, 696, 301, 877, 683, 912, 971, 485, 824, 108, 579, 359, 618, 33, 428, 394, 970, 636, 231, 776, 463, 578, 947, 303, 135, 421, 704, 587, 964, 842, 597, 779, 415, 192, 200, 153, 158, 381, 155, 220, 513, 360, 122, 834, 453, 270, 961, 614, 616, 309, 41, 540, 17, 245, 248, 88, 86, 511, 946, 442, 739, 811, 406, 549, 889, 162, 670, 207, 732, 142, 414, 572, 88, 580, 766, 725, 682, 881, 912, 509, 930, 465, 167, 91, 348, 662, 72, 620, 730, 805, 812, 277, 628, 179, 505, 636, 884, 456, 415, 977, 905, 959, 176, 276, 942, 34, 427, 101, 125, 23, 67, 504, 53, 931, 711, 760, 469, 908, 288, 751, 878, 382, 10, 377, 360, 823, 384, 218, 635, 157, 469, 944, 331, 311, 717, 250, 403, 108, 419, 545, 608, 847, 278, 343, 132, 212, 414, 535, 559, 350, 164, 904, 286, 150, 925, 591, 300, 992, 471, 445, 693, 959, 828, 255, 517, 518, 318, 758, 575, 204, 769, 225, 925, 220, 400, 906, 611, 557, 560, 110, 260, 18, 901, 428, 301, 143, 3, 118, 743, 328, 67, 837, 416, 224, 884, 953, 682, 756, 357, 430, 679, 147, 234, 330, 10, 698, 801, 250, 187, 141, 841, 900, 861, 781, 802, 251, 755, 355, 944, 685, 370, 71, 594, 836, 589, 166, 670, 311, 585, 292, 256, 173, 903, 535, 649, 302, 647, 131, 863, 40, 737, 160, 342, 236, 503, 350, 667, 222, 856, 740, 732, 248, 138, 870, 698, 826, 882, 571, 645, 739, 393, 246, 20, 424, 258, 413, 809, 291, 860, 871, 258, 579, 64, 589, 775, 758, 609, 410, 681, 749, 210, 608, 12, 439, 205, 562, 922, 79, 493, 305, 413, 939, 388, 8, 241, 166, 190, 101, 752, 201, 448, 36, 587, 869, 813, 417, 47, 362, 539, 104, 53, 920, 245, 629, 459, 704, 792, 144, 69, 663, 539, 47, 162, 808, 406, 58, 261, 254, 404, 774, 667, 456, 405, 913, 749, 620, 659, 358, 586, 340, 511, 622, 558, 574, 385, 710, 550, 161, 287, 692, 259, 692, 919, 370, 914, 287, 821, 314, 349, 731, 711, 490, 222, 433, 353, 795, 981, 306, 19, 515, 354, 786, 190, 202, 603, 324, 257, 43, 686, 853, 437, 225, 504, 53, 92, 40, 103, 890, 224, 285, 516, 68, 778, 686, 639, 833, 206, 680, 409, 785, 753, 843, 999, 621, 905, 672, 731, 344, 626, 645, 234, 884, 547, 344, 931, 229, 401, 215, 402, 670, 112, 463, 685, 553, 616, 345, 920, 320, 383, 787, 117, 286, 488, 197, 950, 119, 951, 824, 869, 493, 102, 662, 290, 908, 512, 126, 495, 117, 364, 145, 588, 326, 777, 726, 41, 349, 310, 721, 132, 377, 248, 782, 424, 475, 669, 808, 550, 394, 325, 506, 710, 852, 200, 923, 140, 996, 192, 495, 182, 145, 211, 454, 217, 0, 596, 206, 428, 799, 827, 295, 944, 102, 893, 454, 647, 965, 60, 720, 655, 558, 626, 621, 635, 681, 798, 205, 599, 254, 71, 542, 268, 720, 639, 459, 408, 241, 369, 594, 540, 803, 306, 974, 287, 623, 967, 790, 28, 927, 661, 754, 665, 740, 741, 487, 421, 563, 471, 663, 630, 997, 775, 601, 953, 828, 423, 164, 72, 567, 368, 536, 586, 545, 880, 459, 738, 611, 1, 697, 327, 753, 329, 932, 955, 552, 468, 793, 808, 453, 819, 405, 292, 351, 744, 845, 240, 847, 813, 495, 654, 301, 668, 474, 257, 871, 97, 350, 550, 85, 157, 353, 204, 517, 995, 57, 805, 420, 710, 530, 644, 193, 729, 881, 434, 562, 665, 738, 684, 599, 859, 40, 84, 365, 768, 555, 383, 139, 816, 225, 125, 914, 184, 757, 863, 418, 396, 809, 476, 578, 143, 277, 18, 484, 570, 970, 954, 288, 81, 636, 236, 378, 400, 525, 345, 614, 577, 849, 821, 20, 400, 206, 570, 850, 794, 208, 696, 613, 588, 802, 904, 115, 262, 468, 67, 928, 632, 658, 461, 600, 415, 871, 852, 865, 481, 874, 528, 717, 695, 68, 193, 659, 68, 859, 308, 800, 318, 62, 407, 588, 181, 610, 745, 515, 144, 82, 69, 590, 497, 434, 426, 150, 656, 226, 217, 700, 631, 454, 766}

    {466, 832, 510, 337, 911, 581, 291, 891, 458, 854, 933, 638, 816, 536, 508, 209, 98, 66, 773, 937, 570, 838, 825, 347, 195, 76, 195, 979, 546, 653, 371, 676, 523, 699, 915, 81, 595, 484, 790, 857, 989, 442, 49, 591, 703, 527, 638, 771, 182, 993, 360, 910, 761, 34, 338, 759, 865, 897, 841, 83, 992, 381, 32, 439, 799, 297, 219, 489, 565, 762, 374, 560, 760, 432, 985, 179, 249, 212, 688, 615, 140, 826, 51, 22, 7, 926, 548, 917, 263, 272, 189, 772, 173, 11, 376, 293, 943, 363, 474, 73, 506, 98, 338, 690, 443, 340, 701, 651, 804, 651, 700, 25, 725, 502, 648, 923, 326, 6, 265, 119, 742, 117, 941, 398, 431, 509, 480, 305, 544, 331, 33, 559, 730, 21, 179, 294, 478, 518, 508, 37, 532, 432, 98, 133, 114, 399, 212, 624, 581, 498, 651, 898, 357, 551, 807, 934, 51, 738, 656, 520, 568, 757, 485, 155, 935, 677, 317, 979, 579, 642, 673, 526, 807, 991, 534, 320, 716, 9, 366, 84, 111, 835, 170, 441, 872, 464, 242, 22, 998, 401, 643, 81, 56, 896, 13, 804, 544, 699, 339, 660, 851, 73, 316, 145, 642, 475, 974, 786, 875, 44, 551, 402, 253, 618, 898, 28, 557, 257, 89, 468, 796, 926, 221, 43, 337, 196, 289, 63, 393, 461, 975, 746, 215, 109, 979, 856, 974, 901, 929, 372, 159, 993, 174, 318, 913, 666, 260, 771, 619, 880, 16, 660, 878, 84, 272, 709, 515, 348, 688, 464, 999, 784, 817, 279, 270, 496, 857, 982, 4, 307, 817, 791, 671, 829, 750, 462, 328, 361, 900, 865, 805, 674, 37, 797, 581, 85, 973, 948, 609, 510, 918, 70, 276, 130, 169, 743, 129, 391, 792, 522, 100, 877, 915, 386, 627, 52, 209, 496, 264, 14, 239, 62, 431, 141, 472, 969, 709, 255, 715, 705, 532, 244, 50, 521, 342, 304, 523, 687, 563, 592, 551, 969, 964, 860, 536, 917, 745, 17, 112, 77, 295, 335, 872, 140, 83, 309, 810, 308, 268, 576, 595, 44, 572, 607, 232, 48, 652, 643, 4, 923, 641, 380, 235, 414, 297, 123, 514, 522, 633, 870, 678, 762, 888, 280, 983, 937, 829, 844, 708, 897, 44, 180, 159, 791, 637, 910, 646, 554, 177, 127, 460, 113, 35, 23, 136, 687, 656, 13, 924, 909, 878, 854, 952, 804, 838, 323, 566, 990, 777, 450, 199, 186, 712, 560, 6, 892, 701, 598, 226, 640, 680, 781, 216, 601, 632, 238, 734, 640, 605, 681, 388, 876, 978, 990, 796, 868, 941, 554, 42, 363, 907, 661, 441, 445, 451, 933, 734, 9, 438, 75, 887, 134, 379, 456, 685, 105, 111, 973, 637, 353, 816, 987, 237, 957, 666, 638, 940, 669, 296, 582, 618, 701, 1, 27, 220, 307, 293, 232, 299, 23, 198, 399, 7, 29, 512, 281, 956, 55, 968, 969, 380, 397, 712, 389, 801, 851, 918, 850, 919, 149, 52, 605, 373, 978, 136, 80, 148, 796, 988, 57, 767, 605, 440, 797, 723, 818, 436, 227, 798, 356, 26, 499, 600, 425, 371, 154, 146, 954, 714, 847, 826, 442, 395, 103, 427, 332, 110, 747, 571, 720, 90, 793, 290, 477, 249, 121, 527, 633, 988, 960, 655, 744, 185, 269, 795, 872, 961, 211, 61, 747, 787, 39, 265, 346, 814, 966, 141, 825, 883, 86, 886, 106, 537, 154, 597, 93, 992, 178, 25, 693, 806, 138, 369, 764, 998, 276, 492, 194, 543, 69, 606, 641, 699, 615, 2, 407, 307, 646, 185, 734, 671, 110, 435, 432, 485, 742, 763, 267, 733, 855, 230, 396, 898, 489, 266, 723, 289, 533, 91, 184, 985, 195, 980, 590, 123, 972, 356, 59, 576, 966, 989, 411, 538, 542, 336, 283, 3, 35, 658, 952, 958, 241, 235, 861, 62, 474, 57, 941, 625, 230, 780, 371, 835, 814, 419, 478, 657, 412, 762, 466, 339, 296, 335, 851, 104, 121, 263, 441, 29, 112, 825, 109, 159, 273, 648, 191, 168, 299, 916, 617, 999, 617, 994, 357, 538, 602, 876, 603, 296, 473, 993, 272, 366, 24, 165, 519, 774, 713, 382, 313, 881, 888, 786, 553, 14, 27, 130, 689, 789, 356, 672, 101, 887, 763, 498, 664, 297, 450, 727, 619, 690, 519, 135, 438, 773, 223, 981, 430, 284, 853, 28, 832, 844, 137, 950, 298, 501, 46, 806, 823, 591, 247, 971, 727, 33, 460, 718, 724, 733, 526, 78, 479, 899, 298, 965, 334, 489, 767, 553, 691, 657, 735, 376, 259, 848, 911, 984, 393, 253, 963, 548, 168, 172, 556, 940, 234, 875, 152, 728, 42, 814, 510, 567, 178, 113, 451, 398, 434, 383, 549, 500, 810, 426, 186, 777, 240, 933, 954, 789, 864, 395, 160, 390, 78, 612, 918, 227, 412, 799, 610, 775, 948, 263, 6, 160, 891, 968, 16, 59, 436, 16, 339, 214, 425, 382, 359, 252, 2, 820, 216, 389, 694, 333, 363, 748, 801, 702, 284, 544, 533, 231, 654, 446, 38, 426, 784, 128, 367, 837, 628, 304, 678, 917, 948, 151, 864, 848, 129, 24, 368, 321, 773, 452, 557, 232, 132, 794, 728, 607, 446, 408, 839, 461, 513, 617, 675, 972, 815, 333, 596, 389, 832, 675, 677, 866, 527, 273, 106, 341, 36, 508, 471, 440, 700, 854, 8, 237, 797, 26, 556, 8, 280, 48, 736, 96, 822, 156, 815, 949, 419, 576, 123, 73, 116, 543, 688, 143, 402, 960, 213, 857, 879, 657, 714, 559, 238, 100, 170, 963, 822, 890, 714, 894, 986, 447, 267, 196, 837, 987, 984, 630, 479, 783, 537, 947, 600, 582, 577, 27, 97, 452, 612, 909, 807, 598, 361, 452, 852, 178, 733, 968, 748, 894, 641, 108, 942, 146, 842, 422, 451, 984, 194, 789, 901, 634, 22, 190, 346, 661, 165, 63, 735, 90, 554, 50, 199, 703, 228, 873, 771, 223, 148, 671, 291, 310, 927, 59, 846, 991, 281, 320, 980, 883, 716, 718, 281, 568, 164, 455, 311, 341, 467, 128, 534, 540, 443, 902, 806, 293, 706, 215, 593, 842, 2, 666, 897, 795, 227, 211, 782, 715, 573, 444, 387, 975, 514, 995, 465, 647, 274, 603, 39, 172, 118, 637, 634, 303, 70, 106, 126, 542, 765, 231, 498, 987, 418, 365, 846, 769, 224, 180, 761, 19, 10, 267, 273, 929, 355, 303, 496, 949, 174, 312, 951, 937, 573, 87, 384, 800, 90, 845, 473, 745, 134, 116, 543, 943, 387, 759, 282, 943, 109, 525, 435, 228, 135, 749, 812, 996, 698, 541, 564, 962, 990, 76, 983, 524, 337, 512, 815, 915, 55, 38, 60, 70, 374, 676, 601, 87, 707, 961, 284, 894, 712, 77, 181, 465, 532, 242, 144, 173, 624, 237, 558, 768, 653, 56, 148, 192, 131, 848, 189, 275, 274, 463, 938, 243, 900, 635, 187, 934, 623, 547, 792, 788, 49, 48, 25, 386, 723, 352, 283, 13, 31, 213, 412, 633, 49, 399, 567, 742, 919, 54, 982, 890, 908, 403, 628, 29, 374, 390, 266, 75, 818, 80, 250, 938, 964, 365, 156, 707, 730, 868, 565, 420, 573, 952, 502, 549, 492, 613, 784, 988, 352, 538, 185, 725, 896, 584, 891, 100, 748, 85, 32, 275, 983, 648, 91, 378, 867, 963, 951, 172, 420, 569, 694, 632, 501, 244, 625, 578, 312, 752, 175, 146, 93, 96, 436, 883, 82, 21, 506, 643, 497, 790, 105, 959, 184, 11, 323, 886, 50, 30, 520, 783, 833, 956, 960, 673, 715, 721, 676, 909, 66, 678, 256, 534, 548, 111, 66, 491, 957, 279, 335, 280, 198, 332, 120, 931, 282, 886, 962, 56, 479, 338, 398, 74, 783, 916, 564, 439, 829, 304, 17, 124, 189, 888, 475, 213, 634, 533, 936, 440, 593, 87, 203, 691, 177, 130, 31, 230, 936, 289, 927, 298, 879, 11, 736, 687, 949, 352, 30, 705, 981, 899, 914, 649, 330, 235, 359, 41, 386, 746, 341, 864, 376, 522, 54, 713, 120, 422, 706, 690, 932, 204, 65, 604, 646, 391, 116, 523, 956, 556, 587, 624, 589, 395, 652, 199, 325, 404, 478, 472, 214, 966, 295, 595, 46, 727, 677, 859, 972, 46, 55, 223, 422, 169, 194, 782, 379, 706, 457, 541, 774, 946, 697, 397, 763, 21, 252, 32, 669, 455, 751, 177, 458, 83, 486, 347, 408, 138, 491, 592, 746, 168, 397, 358, 625, 447, 127, 390, 74, 718, 38, 26, 12, 119, 938, 703, 197, 975, 30, 253, 599, 239, 962, 202, 113, 314, 460, 355, 697, 137, 292, 724, 438, 739, 942, 505, 980, 244, 214, 896, 104, 989, 619, 437, 105, 607, 65, 537, 401, 757, 336, 336, 967, 499, 660, 705, 642, 209, 612, 283, 946, 39, 791, 819, 997, 910, 750, 615, 251, 722, 650, 82, 793, 521, 524, 121, 127, 880, 472, 202, 35, 480, 722, 491, 264, 812, 65, 129, 936, 481, 76, 180, 324, 502, 916, 125, 840}

    Returns: {1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1 }

  137. 1000

    {297, 33, 240, 126, 26, 421, 718, 361, 406, 264, 697, 143, 474, 77, 233, 948, 284, 472, 98, 115, 959, 356, 847, 919, 934, 656, 36, 145, 106, 508, 720, 14, 996, 722, 593, 418, 764, 894, 143, 935, 786, 519, 362, 899, 481, 879, 849, 927, 566, 314, 786, 815, 680, 109, 456, 145, 521, 325, 553, 293, 304, 978, 21, 76, 402, 24, 105, 980, 401, 346, 443, 108, 740, 621, 501, 443, 793, 731, 210, 404, 245, 18, 152, 977, 72, 436, 497, 227, 655, 266, 67, 799, 861, 570, 674, 282, 202, 403, 285, 188, 557, 5, 923, 135, 911, 729, 644, 403, 640, 172, 897, 557, 545, 216, 681, 996, 30, 245, 133, 346, 823, 601, 451, 291, 758, 559, 158, 765, 429, 464, 970, 973, 290, 61, 34, 907, 95, 770, 900, 814, 531, 214, 725, 783, 435, 720, 666, 419, 957, 220, 105, 698, 411, 132, 829, 907, 724, 250, 980, 806, 948, 521, 48, 623, 132, 274, 594, 359, 239, 636, 328, 616, 50, 888, 550, 8, 868, 768, 367, 237, 672, 190, 741, 712, 791, 825, 593, 384, 740, 452, 216, 427, 532, 371, 327, 434, 831, 918, 561, 494, 543, 716, 714, 793, 700, 81, 588, 362, 950, 701, 272, 751, 197, 863, 13, 487, 786, 267, 662, 655, 722, 204, 459, 452, 617, 59, 735, 899, 315, 962, 523, 51, 304, 349, 180, 339, 823, 845, 574, 397, 659, 256, 949, 240, 130, 431, 441, 955, 791, 724, 821, 590, 443, 793, 45, 15, 503, 175, 813, 934, 740, 852, 844, 811, 134, 839, 198, 445, 266, 956, 528, 911, 635, 532, 500, 395, 263, 47, 893, 735, 675, 113, 659, 490, 837, 452, 288, 997, 10, 166, 51, 86, 465, 573, 778, 111, 137, 237, 768, 895, 2, 35, 578, 895, 169, 628, 269, 257, 865, 348, 967, 589, 412, 2, 829, 422, 490, 665, 330, 75, 100, 158, 294, 919, 231, 471, 953, 611, 74, 26, 492, 515, 105, 549, 855, 410, 123, 509, 733, 678, 984, 370, 978, 468, 514, 883, 171, 210, 441, 581, 258, 288, 130, 432, 770, 514, 551, 196, 801, 178, 545, 237, 78, 385, 795, 899, 505, 854, 515, 434, 622, 520, 178, 22, 814, 581, 910, 392, 703, 635, 512, 640, 320, 191, 235, 135, 806, 827, 673, 467, 654, 226, 339, 873, 779, 705, 850, 324, 469, 195, 932, 58, 930, 424, 215, 951, 504, 801, 351, 939, 16, 466, 32, 933, 998, 306, 210, 394, 156, 163, 32, 439, 571, 111, 544, 827, 669, 732, 46, 153, 46, 215, 432, 464, 497, 348, 633, 634, 61, 750, 809, 156, 264, 356, 56, 343, 123, 5, 935, 800, 593, 958, 704, 54, 344, 709, 71, 411, 319, 990, 552, 287, 916, 35, 246, 319, 527, 665, 675, 242, 670, 561, 281, 707, 667, 302, 505, 437, 725, 34, 794, 499, 607, 704, 425, 609, 248, 944, 752, 944, 957, 547, 573, 295, 491, 382, 21, 855, 398, 686, 415, 123, 397, 58, 680, 524, 72, 437, 824, 310, 568, 2, 543, 799, 7, 186, 895, 745, 821, 501, 992, 594, 952, 378, 944, 536, 261, 357, 846, 1, 465, 806, 871, 261, 845, 563, 822, 385, 927, 774, 104, 342, 117, 569, 397, 680, 339, 435, 825, 932, 440, 723, 172, 335, 481, 308, 457, 90, 864, 458, 165, 7, 309, 433, 700, 613, 477, 249, 834, 690, 91, 675, 223, 141, 825, 219, 458, 995, 612, 13, 290, 258, 272, 335, 186, 496, 884, 254, 851, 344, 691, 73, 854, 504, 271, 647, 860, 950, 983, 270, 239, 422, 662, 674, 320, 404, 386, 788, 90, 27, 486, 364, 153, 179, 410, 889, 884, 643, 330, 28, 731, 738, 156, 165, 638, 467, 502, 160, 523, 484, 448, 688, 293, 404, 750, 878, 672, 946, 483, 492, 650, 321, 171, 43, 449, 395, 815, 558, 717, 45, 426, 173, 565, 652, 797, 592, 358, 524, 668, 922, 473, 28, 322, 604, 383, 659, 531, 941, 438, 651, 64, 536, 50, 563, 941, 772, 161, 691, 817, 874, 367, 633, 320, 509, 820, 9, 891, 424, 370, 218, 733, 841, 325, 728, 625, 545, 134, 588, 205, 486, 268, 699, 23, 273, 660, 444, 130, 940, 700, 463, 373, 169, 436, 716, 354, 739, 978, 311, 474, 683, 27, 732, 519, 36, 925, 378, 444, 924, 910, 195, 865, 175, 427, 112, 985, 122, 61, 357, 614, 29, 945, 38, 565, 685, 285, 234, 371, 597, 221, 834, 752, 873, 977, 526, 455, 352, 515, 218, 13, 605, 482, 1, 423, 983, 343, 519, 342, 414, 928, 473, 470, 89, 539, 667, 607, 950, 783, 846, 86, 706, 980, 311, 706, 693, 345, 257, 350, 419, 146, 420, 673, 808, 69, 841, 304, 566, 343, 89, 466, 401, 845, 717, 330, 555, 310, 78, 778, 307, 412, 919, 769, 25, 690, 987, 677, 855, 781, 894, 512, 39, 624, 990, 64, 468, 920, 931, 25, 552, 438, 892, 440, 179, 577, 567, 418, 536, 779, 217, 678, 535, 802, 340, 557, 959, 883, 35, 975, 864, 12, 64, 270, 517, 739, 406, 440, 758, 97, 837, 203, 623, 429, 94, 729, 340, 474, 205, 56, 14, 681, 57, 771, 3, 876, 746, 265, 892, 567, 892, 165, 833, 889, 469, 423, 157, 4, 824, 211, 160, 678, 50, 193, 609, 822, 667, 520, 585, 510, 888, 226, 243, 97, 794, 782, 200, 125, 506, 282, 789, 172, 104, 647, 874, 553, 296, 256, 645, 547, 179, 758, 918, 454, 832, 265, 863, 225, 286, 714, 392, 286, 615, 611, 164, 27, 471, 562, 967, 439, 230, 46, 231, 538, 240, 559, 985, 514, 964, 939, 461, 798, 76, 451, 470, 818, 73, 23, 83, 67, 6, 494, 849, 728, 705, 696, 997, 669, 73, 470, 725, 721, 355, 539, 868, 930, 710, 472, 326, 150, 161, 158, 421, 707, 75, 877, 67, 699, 708, 34, 663, 718, 84, 900, 363, 228, 3, 650, 414, 747, 585, 803, 830, 704, 719, 426, 722, 940, 324, 673, 662, 506, 220, 386, 178, 154, 74, 651, 257, 968, 643, 705, 302, 759, 255, 871, 279, 43, 116, 870, 126, 573, 824, 866, 568, 613, 323, 642, 437, 354, 263, 627, 635, 873, 598, 249, 982, 435, 506, 624, 194, 676, 805, 53, 39, 805, 325, 377, 708, 526, 971, 910, 401, 301, 307, 144, 118, 531, 672, 200, 553, 871, 434, 456, 923, 992, 736, 737, 830, 555, 747, 248, 595, 814, 134, 511, 663, 346, 176, 400, 455, 510, 759, 563, 481, 504, 482, 167, 274, 439, 444, 20, 143, 218, 160, 199, 221, 692, 993, 351, 617, 231, 139, 780, 870, 115, 864, 797, 191, 693, 862, 136, 389, 211, 552, 336, 239, 629, 897, 681, 98, 959, 70, 657, 524, 918, 354, 521, 602, 55, 494, 591, 956, 121, 387, 341, 57, 520, 200, 112, 926, 636, 420, 589, 589, 370, 114, 163, 568, 655, 628, 797, 987, 301, 313, 264, 588, 173, 768, 94, 37, 843, 990, 621, 204, 620, 719, 282, 258, 431, 228, 420, 796, 820, 324, 935, 471, 505, 954, 441, 817, 121, 867, 649, 473, 163, 881, 216, 984, 586, 315, 45, 206, 867, 315, 582, 10, 333, 972, 788, 92, 956, 385, 219, 794, 798, 714, 276, 164, 502, 47, 523, 25, 249, 970, 495, 359, 310, 888, 512, 853, 203, 190, 735, 782, 738, 629, 771, 113, 831, 96, 687, 95, 106, 367, 656, 562, 499, 746, 222, 293, 875, 875, 17, 141, 131, 285, 139, 649, 380, 390, 551, 212, 756, 911, 827, 548, 691, 350, 171, 483, 870, 657, 645, 869, 767, 152, 544, 416, 962, 438, 243, 8, 242, 779, 141, 508, 26, 486, 889, 302, 885, 341, 131, 70, 783, 854, 789, 23, 36, 859, 542, 976, 772, 151, 166, 819, 930, 807, 175, 778, 194, 561, 849, 636, 945, 353, 482, 391, 425, 736, 982, 538, 981, 116, 222, 640, 997, 952, 846, 584, 649, 643, 327, 613, 970, 949, 306, 350, 686, 226, 651, 387, 721, 402, 236, 693, 313, 260, 701, 267, 867, 415, 866, 823, 572, 476, 247, 391, 826, 903, 351, 71, 111, 33, 574, 993, 973, 799, 491, 511, 425, 594, 627, 472, 547, 31, 65, 115, 69, 245, 424, 265, 362, 879, 199, 15, 101, 421, 631, 875, 333, 625, 987, 663, 83, 798, 562, 138, 329, 764, 718, 18, 739, 463, 572, 696, 261, 591, 190, 33, 620, 577, 283, 886, 106, 995, 720, 55, 426, 283, 628, 333, 112, 526, 743, 455, 551, 60, 590, 53, 821, 780, 29, 795, 110, 879, 205, 537, 398, 750, 527, 51, 150, 272, 65, 843, 723, 683, 507, 203, 792, 625, 848, 683, 283, 133, 314, 430, 533, 584, 72, 274, 857, 191, 358, 507, 934, 349, 79, 298, 831, 868, 476, 574, 699, 463, 423, 18, 747, 581, 422, 118, 348, 701, 869, 290, 713, 837, 250, 3, 961, 927, 359, 960, 219, 85, 815, 98, 614, 161, 886, 567}

    {966, 192, 248, 146, 499, 366, 349, 213, 676, 414, 192, 347, 917, 540, 99, 381, 292, 554, 995, 856, 328, 965, 755, 407, 405, 891, 760, 712, 233, 549, 447, 587, 963, 762, 323, 608, 595, 394, 193, 753, 964, 938, 357, 654, 174, 107, 110, 861, 684, 177, 843, 729, 224, 68, 280, 209, 167, 957, 566, 58, 633, 487, 981, 761, 687, 168, 132, 364, 736, 307, 131, 760, 169, 91, 361, 300, 665, 842, 176, 550, 922, 314, 689, 369, 972, 66, 353, 365, 644, 114, 292, 329, 244, 858, 241, 341, 316, 901, 318, 174, 465, 754, 375, 861, 887, 787, 368, 246, 780, 59, 534, 235, 946, 529, 395, 287, 661, 702, 84, 181, 468, 19, 600, 695, 685, 59, 155, 229, 347, 428, 467, 498, 579, 288, 973, 109, 430, 230, 92, 901, 869, 937, 84, 942, 677, 419, 671, 881, 142, 685, 902, 658, 49, 902, 641, 68, 922, 688, 986, 303, 533, 388, 129, 251, 710, 841, 450, 145, 116, 66, 42, 915, 492, 534, 921, 703, 621, 378, 406, 457, 464, 532, 748, 209, 828, 587, 711, 232, 120, 77, 29, 954, 518, 390, 560, 631, 992, 538, 610, 741, 612, 182, 690, 11, 78, 727, 372, 671, 647, 327, 820, 583, 887, 751, 153, 754, 777, 812, 726, 368, 491, 232, 942, 43, 405, 478, 882, 763, 862, 513, 24, 80, 773, 800, 277, 985, 102, 279, 306, 454, 931, 802, 838, 859, 527, 151, 493, 974, 615, 702, 6, 363, 916, 796, 242, 79, 787, 616, 369, 617, 781, 664, 318, 366, 569, 534, 554, 317, 989, 269, 912, 555, 842, 737, 162, 326, 281, 631, 766, 982, 543, 170, 580, 942, 876, 540, 596, 513, 119, 284, 746, 17, 943, 590, 981, 501, 102, 816, 535, 109, 54, 517, 560, 68, 781, 85, 784, 967, 168, 207, 93, 695, 413, 90, 136, 591, 459, 11, 642, 905, 913, 993, 599, 230, 974, 826, 66, 726, 453, 542, 38, 15, 710, 606, 262, 9, 365, 646, 856, 278, 233, 379, 754, 137, 954, 192, 583, 41, 345, 698, 965, 598, 48, 546, 407, 427, 32, 80, 100, 757, 243, 164, 20, 976, 446, 707, 97, 713, 79, 896, 155, 717, 565, 409, 246, 658, 74, 947, 376, 433, 886, 322, 267, 801, 943, 244, 558, 979, 81, 462, 763, 813, 22, 576, 371, 411, 648, 19, 180, 832, 19, 417, 996, 609, 616, 338, 668, 913, 386, 909, 63, 328, 803, 905, 88, 332, 56, 259, 880, 4, 991, 152, 238, 213, 493, 53, 128, 305, 121, 767, 238, 915, 295, 961, 619, 595, 773, 312, 598, 126, 882, 71, 396, 602, 41, 154, 227, 487, 656, 840, 222, 124, 383, 715, 495, 835, 769, 308, 569, 460, 975, 963, 300, 375, 901, 969, 48, 796, 334, 709, 908, 263, 610, 763, 830, 971, 999, 582, 133, 498, 483, 542, 760, 113, 399, 125, 859, 204, 810, 384, 380, 480, 363, 546, 762, 489, 564, 122, 373, 85, 877, 728, 952, 461, 195, 703, 795, 301, 70, 696, 337, 715, 334, 909, 382, 500, 907, 372, 140, 213, 157, 604, 929, 535, 232, 539, 259, 671, 605, 101, 235, 614, 509, 394, 335, 118, 255, 76, 135, 530, 393, 554, 757, 969, 929, 832, 409, 624, 14, 601, 652, 16, 559, 488, 476, 49, 816, 715, 948, 955, 305, 489, 485, 842, 20, 31, 513, 828, 82, 294, 360, 612, 947, 86, 352, 878, 974, 62, 334, 525, 708, 356, 960, 279, 162, 462, 167, 856, 684, 107, 162, 749, 584, 608, 252, 40, 331, 756, 148, 936, 670, 183, 611, 924, 808, 789, 774, 698, 54, 277, 924, 986, 525, 933, 742, 838, 388, 148, 817, 475, 433, 184, 769, 732, 576, 496, 938, 340, 168, 182, 773, 379, 417, 921, 146, 280, 961, 744, 804, 201, 638, 337, 863, 77, 979, 408, 503, 303, 857, 835, 382, 110, 117, 251, 392, 299, 626, 8, 608, 702, 829, 206, 637, 450, 170, 657, 236, 30, 127, 743, 119, 848, 201, 217, 661, 44, 721, 186, 642, 741, 556, 448, 812, 60, 960, 742, 753, 125, 688, 664, 254, 906, 142, 365, 211, 744, 319, 745, 940, 241, 689, 393, 299, 938, 726, 941, 129, 648, 734, 28, 480, 120, 953, 484, 900, 723, 5, 522, 692, 387, 180, 833, 273, 607, 396, 541, 661, 241, 453, 224, 24, 915, 479, 847, 22, 262, 596, 666, 558, 529, 366, 201, 757, 603, 805, 148, 374, 93, 784, 537, 826, 650, 813, 124, 252, 587, 776, 782, 767, 522, 966, 679, 877, 234, 150, 502, 198, 396, 999, 641, 260, 229, 785, 998, 108, 40, 490, 311, 632, 695, 83, 605, 291, 507, 493, 597, 1, 447, 618, 114, 759, 812, 187, 377, 448, 851, 289, 765, 42, 694, 488, 836, 185, 887, 937, 734, 564, 96, 389, 770, 880, 766, 599, 968, 159, 645, 120, 259, 858, 372, 159, 247, 10, 102, 904, 580, 139, 629, 151, 765, 623, 905, 225, 391, 668, 785, 374, 0, 256, 541, 278, 338, 943, 42, 697, 923, 147, 381, 405, 298, 862, 375, 16, 556, 251, 220, 999, 669, 94, 652, 193, 920, 503, 951, 620, 648, 176, 352, 326, 743, 208, 619, 128, 196, 626, 89, 309, 229, 833, 305, 586, 277, 730, 253, 87, 138, 312, 951, 802, 38, 347, 914, 103, 88, 857, 994, 52, 839, 977, 946, 928, 400, 664, 82, 914, 738, 860, 921, 478, 276, 756, 748, 851, 453, 278, 262, 373, 75, 603, 275, 929, 224, 355, 583, 516, 140, 599, 223, 6, 828, 660, 816, 469, 810, 508, 597, 268, 407, 571, 955, 275, 790, 478, 409, 479, 777, 329, 417, 412, 976, 336, 189, 177, 430, 313, 986, 284, 140, 748, 173, 227, 308, 214, 477, 876, 95, 866, 442, 528, 626, 848, 360, 963, 902, 198, 408, 289, 528, 622, 945, 654, 933, 730, 166, 104, 903, 853, 410, 800, 442, 872, 653, 966, 497, 576, 925, 255, 31, 991, 88, 170, 958, 7, 926, 850, 932, 727, 660, 807, 603, 530, 117, 289, 296, 57, 93, 187, 983, 49, 772, 727, 103, 646, 488, 540, 908, 208, 618, 653, 630, 260, 321, 994, 711, 185, 149, 872, 610, 460, 731, 638, 596, 791, 809, 159, 184, 677, 252, 556, 318, 449, 745, 844, 380, 906, 579, 958, 44, 296, 819, 582, 181, 62, 217, 890, 428, 834, 684, 60, 47, 878, 517, 253, 819, 518, 998, 197, 103, 790, 207, 403, 969, 604, 742, 96, 41, 804, 271, 548, 81, 0, 188, 418, 297, 388, 906, 689, 30, 734, 429, 852, 338, 368, 269, 917, 622, 530, 12, 458, 893, 637, 771, 254, 533, 223, 100, 202, 936, 641, 413, 634, 147, 600, 908, 147, 839, 408, 62, 466, 630, 580, 376, 416, 92, 884, 965, 337, 874, 183, 784, 571, 317, 331, 775, 836, 537, 755, 762, 436, 989, 291, 706, 250, 989, 572, 55, 199, 686, 947, 187, 149, 299, 925, 39, 575, 541, 904, 332, 777, 627, 360, 384, 917, 124, 331, 602, 127, 297, 266, 11, 988, 601, 891, 752, 928, 479, 544, 185, 238, 336, 510, 136, 87, 447, 212, 99, 838, 270, 709, 475, 451, 936, 149, 298, 295, 446, 658, 872, 221, 761, 456, 804, 413, 294, 393, 457, 273, 896, 865, 893, 615, 462, 107, 209, 214, 897, 570, 498, 920, 737, 809, 852, 807, 975, 792, 383, 157, 181, 399, 749, 984, 676, 753, 549, 682, 80, 711, 461, 484, 716, 632, 632, 916, 844, 766, 52, 142, 374, 991, 529, 40, 197, 449, 52, 500, 679, 751, 400, 792, 931, 122, 890, 525, 268, 345, 275, 477, 431, 744, 376, 835, 390, 17, 606, 682, 674, 949, 44, 183, 860, 300, 138, 459, 898, 550, 592, 108, 790, 682, 761, 971, 127, 292, 694, 287, 184, 215, 21, 271, 281, 575, 953, 811, 619, 228, 309, 687, 694, 882, 416, 564, 670, 323, 637, 962, 454, 522, 898, 548, 234, 578, 585, 496, 586, 37, 101, 639, 369, 775, 445, 912, 399, 890, 316, 592, 189, 578, 808, 600, 730, 189, 137, 4, 188, 460, 485, 810, 579, 774, 880, 361, 883, 332, 155, 853, 939, 926, 450, 402, 511, 247, 342, 398, 994, 755, 733, 968, 724, 914, 358, 666, 344, 644, 776, 679, 811, 896, 182, 432, 312, 69, 9, 364, 389, 606, 630, 909, 207, 840, 177, 63, 206, 87, 937, 894, 885, 518, 697, 692, 516, 225, 570, 99, 144, 881, 321, 489, 577, 639, 546, 65, 719, 775, 194, 803, 646, 653, 979, 286, 322, 212, 972, 575, 495, 850, 82, 480, 618, 129, 196, 154, 988, 847, 964, 63, 445, 202, 904, 208, 634, 785, 317, 516, 442, 818, 749, 381, 713, 446, 377, 836, 913, 355, 316, 12, 840, 776, 119, 253, 91, 174, 37, 276, 475, 415, 818, 822, 788, 885, 0, 764, 560, 236, 903, 898, 128, 379, 353, 428, 244, 712, 988, 280, 639, 787, 144, 303, 912, 858, 485}

    Returns: {1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1 }

  138. 1000

    {213, 164, 824, 62, 654, 729, 802, 528, 765, 707, 20, 958, 776, 150, 853, 405, 255, 734, 250, 853, 294, 881, 714, 696, 437, 361, 931, 320, 24, 113, 732, 898, 549, 483, 295, 3, 579, 387, 125, 136, 182, 956, 497, 477, 829, 891, 172, 121, 267, 500, 133, 163, 244, 589, 165, 381, 951, 341, 803, 443, 475, 936, 500, 754, 52, 50, 988, 69, 324, 465, 397, 395, 595, 384, 548, 4, 238, 308, 30, 996, 603, 727, 279, 347, 378, 360, 926, 318, 847, 3, 841, 649, 681, 456, 989, 110, 502, 606, 638, 872, 957, 123, 593, 976, 342, 294, 882, 384, 850, 684, 568, 418, 448, 158, 976, 146, 890, 849, 584, 860, 920, 264, 423, 74, 212, 487, 90, 6, 868, 102, 946, 505, 218, 383, 708, 662, 643, 529, 757, 705, 196, 496, 315, 284, 281, 720, 164, 808, 605, 346, 750, 421, 770, 799, 710, 599, 370, 666, 916, 445, 899, 48, 887, 130, 923, 466, 258, 633, 995, 398, 149, 254, 70, 968, 359, 293, 161, 427, 39, 967, 349, 728, 171, 523, 501, 703, 634, 49, 971, 945, 187, 119, 12, 90, 147, 919, 77, 461, 687, 490, 342, 559, 884, 3, 965, 633, 937, 951, 854, 281, 772, 774, 253, 983, 693, 783, 590, 283, 815, 198, 622, 273, 64, 630, 617, 610, 162, 374, 338, 795, 113, 777, 796, 309, 152, 379, 664, 446, 597, 165, 962, 11, 484, 512, 696, 312, 99, 336, 955, 476, 772, 257, 84, 743, 692, 862, 941, 293, 399, 428, 301, 548, 234, 302, 920, 151, 605, 218, 434, 533, 34, 971, 159, 593, 394, 41, 778, 166, 419, 542, 795, 371, 596, 503, 145, 715, 532, 470, 363, 641, 125, 437, 114, 748, 660, 562, 132, 245, 458, 215, 842, 443, 366, 284, 729, 797, 390, 857, 647, 757, 862, 122, 753, 702, 310, 387, 98, 719, 203, 45, 508, 784, 595, 569, 141, 414, 508, 952, 157, 380, 820, 4, 129, 1, 327, 494, 625, 556, 107, 614, 849, 494, 26, 395, 83, 502, 529, 248, 454, 904, 510, 166, 860, 82, 740, 632, 261, 970, 735, 807, 929, 758, 704, 789, 224, 943, 803, 58, 1, 448, 514, 851, 364, 588, 296, 925, 77, 119, 317, 521, 371, 371, 512, 689, 224, 868, 390, 33, 219, 262, 928, 704, 301, 911, 503, 461, 732, 78, 103, 180, 580, 606, 167, 864, 924, 100, 602, 149, 265, 644, 774, 546, 20, 809, 195, 544, 378, 61, 405, 215, 664, 829, 929, 564, 892, 769, 106, 119, 946, 959, 924, 39, 599, 841, 620, 896, 931, 75, 456, 176, 989, 64, 14, 781, 661, 856, 912, 65, 434, 29, 611, 740, 517, 906, 737, 242, 562, 406, 275, 925, 995, 985, 177, 475, 423, 74, 52, 691, 677, 282, 532, 706, 260, 750, 795, 656, 207, 574, 37, 264, 149, 790, 385, 365, 2, 610, 527, 683, 244, 727, 70, 647, 528, 698, 421, 506, 996, 245, 870, 336, 529, 115, 298, 669, 65, 725, 72, 311, 783, 189, 155, 980, 924, 415, 128, 883, 51, 221, 7, 463, 244, 307, 214, 493, 442, 85, 439, 386, 726, 140, 576, 135, 579, 243, 314, 304, 700, 499, 857, 435, 720, 432, 467, 793, 592, 18, 144, 491, 783, 644, 798, 351, 705, 512, 986, 270, 771, 960, 138, 48, 819, 281, 491, 689, 420, 538, 125, 484, 735, 374, 182, 864, 593, 199, 80, 854, 582, 257, 493, 510, 881, 761, 905, 447, 418, 537, 760, 271, 468, 6, 552, 806, 494, 436, 358, 786, 313, 605, 254, 40, 80, 71, 210, 261, 467, 504, 589, 314, 76, 986, 71, 475, 810, 136, 196, 572, 961, 585, 932, 127, 44, 207, 116, 672, 635, 432, 944, 942, 551, 156, 865, 89, 536, 227, 144, 317, 339, 657, 452, 123, 84, 204, 965, 858, 62, 305, 873, 282, 402, 895, 737, 717, 481, 858, 994, 870, 601, 491, 441, 561, 632, 111, 643, 177, 376, 763, 398, 892, 851, 895, 346, 105, 746, 58, 463, 655, 161, 74, 961, 134, 60, 448, 458, 580, 784, 820, 964, 662, 648, 434, 134, 98, 19, 528, 14, 693, 634, 987, 764, 904, 458, 157, 375, 535, 565, 614, 284, 670, 44, 267, 174, 333, 973, 991, 915, 790, 317, 598, 309, 271, 327, 169, 913, 985, 759, 608, 83, 184, 793, 133, 16, 118, 262, 179, 238, 622, 918, 387, 256, 704, 253, 787, 649, 701, 210, 393, 88, 11, 29, 298, 295, 638, 959, 573, 670, 86, 153, 146, 435, 797, 806, 13, 622, 71, 443, 869, 734, 559, 890, 212, 493, 507, 826, 822, 309, 17, 362, 257, 766, 806, 486, 956, 685, 358, 640, 811, 808, 356, 212, 631, 987, 856, 499, 302, 590, 842, 183, 1, 543, 110, 61, 106, 746, 575, 123, 888, 420, 572, 9, 356, 101, 81, 643, 179, 260, 511, 332, 146, 960, 183, 342, 907, 582, 895, 673, 754, 929, 421, 16, 738, 349, 805, 50, 217, 818, 396, 198, 91, 635, 202, 4, 983, 561, 575, 275, 480, 950, 279, 291, 165, 115, 315, 838, 904, 395, 715, 34, 514, 863, 276, 437, 854, 645, 129, 974, 834, 943, 162, 217, 358, 747, 413, 969, 29, 410, 313, 751, 888, 359, 866, 771, 973, 963, 164, 383, 255, 811, 100, 34, 819, 677, 585, 489, 91, 462, 714, 672, 182, 294, 298, 461, 308, 984, 385, 409, 611, 196, 871, 114, 917, 784, 42, 177, 535, 899, 471, 368, 399, 394, 612, 314, 200, 12, 959, 451, 425, 49, 857, 740, 824, 816, 665, 696, 887, 390, 833, 312, 427, 804, 707, 139, 87, 117, 667, 211, 474, 368, 211, 785, 216, 597, 990, 456, 189, 961, 769, 730, 932, 764, 324, 380, 489, 157, 370, 86, 761, 538, 722, 728, 439, 14, 487, 861, 876, 42, 792, 815, 68, 394, 889, 657, 923, 90, 495, 338, 51, 67, 85, 285, 11, 510, 185, 152, 960, 33, 950, 737, 89, 843, 329, 922, 898, 246, 384, 415, 160, 829, 647, 630, 888, 272, 228, 381, 636, 738, 711, 15, 641, 45, 180, 473, 122, 417, 751, 195, 919, 37, 589, 983, 965, 191, 472, 916, 855, 115, 2, 239, 15, 830, 186, 667, 695, 970, 45, 638, 561, 860, 866, 468, 810, 560, 42, 183, 792, 286, 819, 898, 137, 618, 933, 623, 160, 188, 642, 942, 262, 984, 468, 209, 49, 604, 351, 928, 870, 436, 276, 419, 337, 720, 367, 988, 535, 882, 50, 279, 687, 367, 908, 881, 655, 439, 752, 781, 595, 209, 964, 998, 805, 747, 256, 329, 81, 124, 174, 111, 797, 82, 382, 719, 139, 711, 973, 897, 980, 820, 602, 832, 136, 684, 609, 838, 54, 265, 473, 502, 928, 297, 873, 890, 997, 21, 800, 574, 480, 506, 997, 969, 180, 693, 523, 203, 641, 503, 732, 944, 78, 330, 990, 603, 603, 843, 144, 419, 286, 247, 634, 957, 845, 253, 925, 663, 504, 865, 549, 256, 246, 815, 685, 852, 964, 623, 167, 559, 893, 489, 89, 545, 657, 318, 374, 382, 916, 864, 884, 195, 572, 85, 750, 749, 80, 938, 891, 142, 734, 984, 398, 991, 13, 507, 582, 527, 536, 174, 147, 940, 39, 81, 24, 590, 415, 302, 372, 377, 219, 340, 497, 655, 218, 974, 391, 802, 884, 199, 621, 111, 649, 570, 570, 751, 661, 310, 578, 656, 836, 341, 355, 791, 135, 83, 191, 264, 875, 37, 602, 565, 987, 101, 508, 997, 989, 91, 433, 765, 574, 130, 156, 633, 804, 779, 282, 823, 270, 661, 426, 355, 199, 266, 162, 552, 397, 990, 441, 454, 274, 850, 18, 550, 325, 361, 86, 746, 134, 487, 749, 290, 970, 840, 807, 216, 383, 339, 330, 790, 644, 803, 943, 546, 488, 956, 950, 296, 56, 232, 835, 248, 300, 470, 170, 88, 268, 355, 913, 393, 635, 722, 51, 754, 490, 923, 158, 652, 711, 733, 701, 118, 536, 13, 158, 908, 219, 660, 762, 152, 827, 841, 288, 333, 521, 200, 749, 932, 601, 441, 907, 766, 596, 853, 7, 606, 17, 931, 645, 239, 759, 40, 665, 122, 234, 299, 88, 84, 540, 684, 844, 438, 562, 968, 818, 61, 418, 537, 683, 329, 285, 517, 476, 268, 868, 944, 527, 447, 545, 681, 406, 35, 681, 137, 24, 304, 315, 233, 905, 920, 338, 140, 155, 283, 627, 875, 126, 533, 624, 591, 762, 57, 420, 451, 683, 682, 585, 124, 564, 48, 76, 131, 709, 361, 729, 822, 293, 377, 845, 677, 466, 169, 226, 627, 367, 296, 95, 306, 444, 272, 236, 627, 139, 370, 31, 347, 62, 327, 639, 485, 413, 507, 328, 377, 906, 809, 380, 663, 568, 564, 211, 78, 407, 290, 114, 918, 947, 520, 292, 617, 652, 210, 280, 69, 999, 321, 17, 366, 254, 411, 872, 607, 250, 862, 477, 757, 523, 849, 727, 94, 545, 305, 94, 939, 26, 133, 936, 205, 805, 911, 812, 137, 811, 753, 691, 6, 272}

    {429, 758, 28, 900, 828, 225, 460, 318, 482, 519, 360, 93, 977, 23, 412, 471, 446, 543, 901, 477, 466, 838, 542, 337, 411, 270, 882, 910, 787, 66, 120, 407, 934, 637, 41, 680, 817, 235, 685, 690, 375, 389, 416, 937, 993, 718, 801, 231, 813, 642, 604, 975, 694, 689, 241, 889, 947, 863, 660, 483, 69, 297, 878, 518, 60, 325, 621, 303, 202, 557, 624, 980, 591, 802, 690, 563, 112, 900, 482, 457, 905, 396, 248, 400, 975, 455, 334, 736, 108, 106, 213, 650, 659, 209, 215, 151, 825, 112, 695, 481, 116, 555, 190, 524, 839, 363, 251, 669, 391, 72, 573, 581, 286, 343, 54, 912, 982, 863, 59, 334, 675, 305, 273, 156, 290, 301, 828, 488, 454, 120, 788, 531, 57, 975, 46, 584, 340, 53, 368, 353, 941, 350, 852, 417, 823, 596, 671, 619, 816, 724, 18, 769, 948, 457, 814, 72, 702, 5, 656, 278, 999, 902, 172, 927, 569, 363, 36, 776, 686, 175, 579, 664, 299, 676, 221, 886, 826, 789, 113, 303, 97, 511, 518, 979, 979, 587, 150, 566, 23, 626, 686, 738, 289, 654, 852, 847, 258, 919, 213, 128, 796, 608, 713, 307, 130, 753, 412, 352, 176, 27, 698, 949, 126, 933, 30, 289, 813, 699, 54, 695, 197, 369, 615, 269, 403, 392, 273, 827, 617, 804, 472, 269, 839, 77, 521, 613, 402, 541, 104, 245, 515, 743, 952, 220, 653, 962, 289, 67, 206, 877, 498, 945, 668, 453, 744, 876, 935, 598, 708, 694, 709, 274, 796, 292, 565, 322, 586, 953, 138, 825, 319, 150, 230, 855, 348, 679, 718, 814, 221, 848, 364, 742, 228, 311, 287, 492, 713, 953, 651, 110, 958, 167, 484, 972, 178, 422, 104, 700, 141, 226, 844, 637, 343, 344, 618, 347, 991, 433, 846, 871, 949, 345, 977, 628, 496, 200, 742, 591, 335, 104, 386, 624, 148, 678, 431, 921, 766, 794, 872, 741, 814, 611, 22, 619, 580, 517, 554, 525, 713, 208, 341, 408, 530, 75, 630, 607, 485, 79, 201, 612, 354, 710, 926, 501, 744, 320, 588, 216, 917, 744, 246, 671, 631, 782, 613, 46, 178, 55, 779, 756, 767, 874, 534, 32, 747, 0, 36, 43, 479, 92, 98, 87, 798, 770, 379, 201, 600, 823, 837, 9, 883, 824, 721, 225, 874, 108, 102, 877, 168, 554, 896, 238, 411, 490, 59, 775, 988, 817, 479, 703, 876, 625, 455, 440, 785, 237, 163, 474, 954, 966, 229, 792, 331, 544, 592, 222, 307, 940, 893, 623, 662, 472, 263, 429, 675, 326, 251, 323, 812, 615, 226, 176, 530, 170, 436, 232, 353, 671, 346, 455, 227, 807, 408, 903, 752, 516, 578, 688, 626, 2, 187, 743, 312, 967, 369, 674, 430, 550, 416, 442, 107, 539, 867, 445, 534, 800, 422, 725, 810, 214, 733, 160, 464, 194, 763, 827, 127, 430, 140, 118, 646, 652, 736, 498, 840, 629, 799, 241, 261, 357, 313, 735, 426, 460, 758, 558, 263, 874, 99, 483, 159, 75, 584, 775, 459, 223, 96, 252, 334, 354, 428, 680, 277, 513, 440, 465, 972, 755, 408, 428, 526, 909, 733, 63, 5, 168, 241, 654, 404, 955, 228, 102, 175, 640, 197, 278, 58, 894, 12, 451, 220, 938, 912, 16, 569, 516, 337, 203, 724, 861, 850, 33, 922, 948, 435, 531, 93, 794, 38, 610, 464, 128, 858, 299, 772, 615, 471, 275, 938, 463, 205, 145, 556, 978, 276, 897, 403, 8, 109, 583, 998, 897, 726, 188, 786, 699, 53, 101, 402, 748, 698, 452, 376, 32, 791, 109, 770, 356, 739, 678, 571, 303, 388, 274, 935, 531, 594, 217, 240, 768, 785, 578, 716, 9, 788, 120, 992, 131, 96, 266, 474, 208, 21, 563, 462, 236, 930, 848, 571, 835, 573, 629, 56, 855, 105, 214, 181, 809, 229, 831, 903, 982, 192, 190, 581, 588, 551, 764, 365, 891, 910, 697, 492, 962, 739, 0, 791, 197, 311, 324, 138, 900, 295, 462, 486, 22, 773, 266, 759, 145, 430, 306, 866, 326, 397, 710, 728, 59, 993, 724, 761, 87, 731, 184, 185, 482, 971, 767, 922, 981, 431, 192, 464, 639, 620, 233, 480, 452, 478, 153, 910, 404, 921, 600, 522, 730, 265, 886, 36, 834, 896, 526, 194, 453, 594, 97, 777, 736, 577, 260, 220, 469, 672, 557, 68, 592, 488, 438, 450, 28, 10, 688, 942, 682, 739, 373, 686, 453, 360, 658, 679, 879, 47, 668, 571, 716, 813, 353, 206, 540, 537, 834, 892, 670, 189, 846, 447, 349, 717, 173, 351, 155, 773, 127, 258, 249, 600, 626, 755, 316, 354, 856, 93, 699, 577, 350, 779, 5, 186, 28, 514, 389, 828, 191, 267, 249, 336, 808, 978, 322, 865, 680, 679, 921, 268, 339, 206, 538, 143, 666, 586, 576, 715, 465, 604, 821, 741, 705, 321, 357, 234, 10, 405, 202, 79, 818, 300, 222, 798, 940, 608, 204, 934, 833, 518, 469, 879, 899, 893, 831, 227, 873, 718, 414, 945, 417, 830, 79, 343, 700, 38, 73, 567, 908, 323, 340, 239, 425, 424, 581, 745, 64, 288, 832, 345, 8, 708, 423, 723, 283, 121, 35, 658, 20, 240, 485, 707, 95, 252, 141, 653, 575, 319, 65, 163, 541, 310, 142, 963, 391, 31, 723, 168, 859, 55, 848, 143, 385, 651, 969, 847, 105, 35, 375, 47, 563, 330, 509, 952, 38, 154, 782, 515, 901, 859, 954, 509, 46, 682, 981, 666, 235, 99, 409, 703, 767, 550, 333, 692, 631, 586, 410, 771, 801, 362, 723, 515, 782, 534, 836, 15, 742, 251, 19, 799, 880, 871, 457, 478, 539, 132, 170, 780, 637, 247, 840, 553, 410, 894, 831, 762, 304, 481, 628, 116, 287, 505, 992, 821, 40, 26, 721, 902, 949, 427, 648, 524, 112, 701, 450, 714, 678, 499, 388, 403, 551, 357, 179, 522, 985, 486, 530, 280, 335, 27, 909, 906, 233, 520, 642, 894, 393, 331, 460, 142, 553, 648, 869, 777, 930, 731, 193, 450, 178, 43, 352, 243, 322, 597, 546, 861, 974, 344, 519, 478, 108, 495, 948, 181, 927, 449, 66, 800, 190, 917, 0, 963, 63, 909, 173, 731, 879, 539, 132, 198, 778, 7, 431, 609, 495, 914, 789, 67, 993, 756, 712, 373, 560, 225, 181, 47, 730, 401, 878, 650, 143, 413, 504, 812, 691, 867, 513, 223, 32, 401, 994, 252, 653, 193, 541, 885, 250, 117, 549, 673, 429, 255, 981, 567, 129, 748, 903, 259, 719, 780, 511, 697, 506, 231, 889, 500, 169, 628, 320, 552, 400, 979, 725, 148, 63, 947, 414, 316, 323, 166, 621, 22, 548, 599, 109, 205, 524, 236, 902, 533, 845, 837, 933, 663, 172, 676, 616, 558, 344, 204, 887, 426, 625, 765, 501, 321, 151, 851, 432, 444, 328, 935, 259, 525, 556, 547, 55, 359, 306, 594, 23, 716, 223, 907, 763, 982, 609, 880, 325, 381, 300, 976, 958, 73, 821, 409, 745, 97, 788, 103, 614, 640, 542, 184, 392, 558, 616, 459, 107, 44, 505, 557, 278, 547, 498, 513, 778, 775, 978, 25, 467, 362, 8, 230, 954, 822, 968, 632, 73, 43, 66, 526, 406, 153, 100, 449, 201, 161, 297, 492, 31, 832, 470, 939, 712, 669, 532, 646, 885, 998, 131, 598, 886, 836, 188, 350, 422, 616, 519, 424, 285, 175, 830, 269, 292, 277, 544, 388, 885, 675, 425, 816, 755, 801, 966, 999, 404, 30, 382, 56, 674, 977, 364, 619, 440, 27, 242, 401, 658, 915, 70, 674, 369, 697, 154, 781, 913, 372, 690, 712, 445, 566, 934, 242, 957, 41, 287, 709, 843, 186, 706, 222, 692, 706, 378, 95, 941, 553, 587, 636, 399, 554, 583, 232, 135, 231, 927, 389, 555, 673, 331, 57, 259, 995, 835, 522, 365, 407, 946, 444, 601, 171, 459, 986, 291, 846, 951, 817, 348, 396, 676, 271, 366, 612, 936, 636, 332, 92, 392, 687, 659, 433, 280, 438, 520, 665, 96, 194, 126, 386, 193, 937, 926, 68, 842, 117, 659, 319, 247, 972, 240, 939, 839, 646, 187, 568, 400, 263, 249, 235, 207, 21, 171, 880, 994, 316, 52, 878, 915, 726, 328, 555, 372, 722, 768, 543, 793, 288, 787, 25, 645, 914, 688, 103, 147, 208, 525, 620, 760, 694, 230, 786, 224, 237, 10, 607, 154, 148, 741, 953, 955, 587, 60, 348, 833, 702, 875, 473, 376, 650, 721, 516, 911, 768, 570, 773, 883, 497, 651, 576, 966, 613, 446, 121, 930, 756, 992, 19, 479, 379, 243, 124, 416, 540, 308, 326, 901, 53, 25, 159, 877, 826, 752, 442, 332, 717, 668, 237, 996, 476, 373, 173, 794, 583, 352, 547, 449, 760, 869, 76, 92, 967, 859, 335, 844, 291, 229, 745, 192, 825, 639, 774, 412, 509, 82, 424, 469, 560, 577, 277, 914, 345, 185, 867, 837, 567, 629, 618, 780, 94, 496, 776, 566, 918, 667}

    Returns: {1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1 }

  139. 1000

    {998, 648, 122, 222, 738, 42, 388, 568, 38, 655, 346, 926, 595, 506, 379, 261, 64, 819, 567, 18, 818, 348, 139, 525, 620, 674, 827, 790, 790, 342, 575, 51, 83, 940, 199, 364, 957, 194, 378, 18, 293, 633, 780, 619, 108, 308, 992, 628, 20, 293, 901, 485, 575, 932, 804, 583, 707, 244, 409, 275, 764, 236, 477, 755, 337, 377, 357, 444, 458, 186, 883, 150, 538, 886, 175, 240, 532, 819, 593, 928, 204, 825, 677, 473, 702, 479, 132, 86, 106, 990, 88, 165, 991, 718, 552, 615, 681, 946, 4, 53, 443, 974, 733, 854, 408, 744, 974, 480, 810, 748, 136, 726, 520, 27, 704, 221, 129, 869, 174, 944, 22, 522, 752, 673, 640, 900, 715, 611, 623, 708, 563, 874, 729, 266, 855, 809, 994, 145, 600, 327, 83, 937, 667, 713, 175, 735, 798, 717, 558, 271, 544, 548, 656, 851, 453, 717, 359, 766, 321, 915, 494, 110, 314, 592, 517, 598, 846, 450, 768, 350, 846, 409, 25, 668, 536, 834, 609, 186, 989, 846, 192, 485, 297, 70, 913, 584, 836, 8, 869, 528, 218, 467, 989, 688, 522, 394, 28, 643, 296, 425, 238, 613, 853, 975, 756, 278, 773, 940, 585, 501, 372, 937, 937, 120, 548, 845, 621, 820, 446, 654, 817, 209, 324, 586, 35, 509, 384, 677, 161, 536, 964, 196, 915, 870, 829, 269, 741, 939, 498, 677, 796, 771, 618, 763, 606, 455, 477, 918, 780, 266, 289, 388, 691, 712, 748, 510, 736, 648, 488, 745, 194, 575, 994, 744, 196, 57, 590, 383, 576, 545, 487, 330, 948, 505, 576, 498, 654, 297, 601, 792, 234, 162, 736, 886, 531, 904, 496, 51, 982, 295, 274, 449, 761, 885, 585, 825, 607, 295, 912, 413, 294, 839, 784, 830, 820, 968, 918, 218, 296, 562, 35, 176, 613, 775, 948, 57, 831, 455, 203, 348, 337, 42, 230, 294, 505, 511, 850, 187, 74, 604, 757, 90, 671, 100, 836, 826, 320, 199, 659, 987, 720, 454, 629, 483, 487, 26, 502, 710, 318, 280, 938, 737, 616, 636, 346, 563, 593, 697, 167, 253, 466, 746, 92, 396, 309, 31, 247, 591, 633, 46, 768, 823, 794, 742, 660, 570, 328, 554, 366, 129, 538, 432, 470, 650, 901, 600, 289, 515, 358, 988, 447, 754, 128, 533, 331, 28, 491, 830, 953, 709, 189, 702, 385, 693, 842, 349, 133, 487, 806, 858, 200, 343, 118, 422, 186, 321, 403, 906, 721, 971, 467, 479, 571, 375, 788, 298, 531, 742, 278, 741, 91, 189, 53, 416, 315, 881, 223, 312, 374, 481, 272, 574, 770, 284, 664, 885, 389, 3, 214, 62, 610, 464, 9, 225, 888, 892, 95, 579, 881, 33, 843, 736, 804, 873, 593, 992, 590, 512, 441, 274, 317, 546, 740, 87, 947, 829, 510, 765, 170, 1, 789, 344, 115, 439, 423, 635, 136, 672, 241, 692, 309, 246, 247, 445, 525, 422, 472, 467, 749, 388, 536, 890, 471, 972, 55, 357, 981, 176, 743, 751, 665, 359, 223, 980, 351, 198, 23, 484, 31, 864, 385, 122, 469, 32, 547, 632, 69, 307, 840, 233, 197, 744, 115, 453, 254, 32, 168, 527, 995, 921, 585, 571, 990, 666, 637, 367, 447, 465, 893, 6, 100, 72, 460, 433, 934, 99, 320, 659, 6, 240, 911, 829, 651, 277, 703, 580, 969, 540, 558, 8, 419, 961, 801, 256, 543, 10, 613, 342, 113, 546, 356, 489, 735, 760, 553, 753, 709, 264, 106, 275, 440, 254, 824, 950, 533, 794, 546, 470, 683, 911, 905, 620, 89, 913, 153, 12, 417, 897, 579, 558, 510, 836, 44, 499, 459, 412, 334, 870, 141, 52, 328, 44, 925, 598, 678, 981, 207, 208, 18, 133, 77, 523, 926, 674, 868, 474, 837, 645, 170, 949, 137, 512, 946, 788, 821, 338, 472, 706, 934, 531, 555, 427, 60, 401, 515, 686, 334, 349, 291, 650, 994, 986, 604, 945, 517, 712, 515, 325, 255, 92, 727, 232, 267, 742, 99, 924, 507, 40, 79, 292, 833, 796, 106, 601, 2, 435, 904, 287, 638, 473, 287, 9, 629, 777, 944, 471, 792, 639, 303, 90, 711, 191, 379, 435, 157, 449, 292, 98, 284, 67, 524, 778, 276, 21, 586, 399, 984, 204, 312, 641, 700, 887, 517, 238, 865, 133, 141, 338, 831, 182, 858, 733, 271, 111, 801, 36, 756, 33, 82, 794, 423, 915, 448, 265, 5, 222, 74, 376, 523, 749, 834, 361, 395, 296, 605, 841, 682, 1, 425, 481, 656, 936, 136, 466, 634, 58, 567, 826, 397, 321, 389, 500, 374, 396, 427, 404, 671, 924, 773, 361, 109, 115, 59, 848, 157, 496, 210, 358, 633, 581, 377, 82, 681, 892, 110, 706, 970, 492, 950, 843, 858, 698, 179, 338, 116, 795, 962, 126, 747, 473, 403, 204, 98, 225, 839, 606, 621, 851, 476, 181, 385, 837, 61, 576, 702, 729, 200, 753, 753, 674, 955, 105, 981, 595, 86, 97, 81, 442, 830, 948, 119, 821, 544, 314, 128, 451, 387, 307, 489, 0, 41, 398, 363, 770, 695, 855, 5, 175, 376, 985, 511, 330, 516, 238, 228, 352, 692, 907, 589, 120, 940, 928, 315, 627, 30, 851, 195, 206, 863, 334, 667, 357, 197, 984, 841, 417, 602, 207, 134, 445, 17, 612, 998, 399, 229, 435, 669, 982, 451, 92, 389, 684, 946, 766, 644, 484, 806, 579, 177, 925, 670, 165, 857, 339, 109, 70, 577, 116, 308, 689, 26, 839, 206, 603, 999, 480, 601, 386, 684, 888, 808, 835, 960, 906, 520, 437, 278, 882, 149, 552, 749, 44, 533, 304, 987, 754, 782, 916, 72, 842, 729, 378, 443, 532, 945, 206, 210, 691, 80, 55, 83, 639, 754, 853, 928, 864, 602, 445, 678, 444, 715, 985, 957, 269, 349, 145, 210, 581, 991, 446, 478, 263, 811, 624, 496, 223, 923, 47, 921, 369, 149, 954, 301, 588, 642, 424, 301, 64, 20, 530, 131, 849, 872, 644, 636, 890, 886, 509, 774, 4, 483, 696, 162, 449, 458, 960, 146, 236, 921, 534, 397, 721, 610, 404, 909, 582, 256, 733, 916, 314, 396, 31, 457, 30, 127, 542, 712, 820, 904, 333, 344, 479, 61, 347, 337, 224, 803, 189, 146, 803, 861, 330, 333, 855, 561, 598, 838, 232, 284, 549, 80, 539, 218, 401, 967, 164, 27, 511, 147, 489, 528, 959, 30, 159, 230, 172, 474, 572, 627, 992, 993, 436, 563, 903, 203, 772, 890, 214, 87, 539, 299, 869, 255, 984, 188, 45, 118, 611, 574, 341, 60, 200, 876, 315, 906, 431, 50, 255, 138, 297, 484, 597, 835, 619, 642, 643, 363, 760, 156, 882, 195, 113, 351, 543, 588, 854, 364, 949, 509, 710, 62, 79, 475, 719, 146, 440, 972, 873, 567, 634, 959, 277, 942, 676, 982, 990, 933, 262, 424, 848, 368, 998, 304, 39, 828, 110, 873, 827, 766, 761, 723, 482, 302, 428, 610, 339, 977, 422, 215, 55, 128, 120, 628, 688, 597, 241, 726, 471, 507, 665, 666, 156, 759, 860, 943, 265, 581, 395, 603, 876, 629, 922, 343, 811, 797, 919, 492, 950, 909, 888, 196, 980, 777, 728, 963, 13, 236, 925, 554, 454, 234, 590, 678, 811, 34, 759, 105, 870, 555, 351, 867, 306, 707, 316, 364, 434, 500, 233, 61, 434, 655, 957, 198, 139, 6, 891, 404, 684, 504, 660, 387, 737, 398, 12, 463, 457, 313, 506, 331, 538, 737, 135, 240, 692, 366, 170, 676, 309, 933, 648, 167, 263, 480, 919, 39, 410, 543, 927, 953, 877, 185, 526, 399, 192, 544, 897, 901, 790, 164, 974, 682, 227, 999, 361, 325, 688, 151, 121, 205, 464, 2, 568, 0, 161, 582, 195, 478, 118, 316, 935, 654, 71, 37, 624, 975, 831, 162, 868, 394, 539, 659, 732, 996, 504, 622, 905, 954, 985, 856, 821, 325, 923, 469, 474, 216, 958, 358, 842, 835, 849, 501, 660, 719, 723, 27, 199, 505, 11, 804, 414, 938, 287, 686, 728, 53, 211, 197, 979, 269, 372, 841, 366, 67, 481, 294, 699, 292, 704, 448, 80, 141, 864, 693, 466, 228, 137, 416, 513, 227, 123, 762, 919, 317, 176, 745, 781, 738, 697, 993, 307, 852, 91, 650, 345, 806, 537, 665, 148, 303, 22, 498, 637, 247, 710, 681, 844, 960, 812, 721, 327, 447, 826, 959, 788, 345, 961, 848, 808, 22, 328, 972, 226, 771, 691, 122, 693, 708, 615, 956, 432, 789, 451, 403, 801, 989, 488, 738, 95, 367, 556, 597, 398, 441, 991, 241, 324, 645, 454, 413, 460, 993, 909, 194, 796, 419, 935, 107, 171, 5, 174, 413, 770, 761, 188, 432, 100, 224, 772, 882, 125, 931, 310, 778, 782, 62, 476, 397, 23, 896, 26, 323, 211, 718, 638, 211, 911, 8, 84, 723, 261, 49, 918, 595, 819, 711, 446, 3, 949, 958, 623, 60, 464, 757, 854, 460, 711, 501, 91, 787, 623}

    {777, 624, 716, 11, 234, 279, 327, 833, 871, 799, 570, 36, 548, 179, 856, 65, 172, 616, 910, 339, 354, 88, 767, 340, 903, 512, 578, 190, 577, 408, 874, 322, 968, 963, 81, 201, 907, 89, 96, 823, 705, 896, 616, 336, 734, 10, 556, 107, 300, 592, 17, 785, 311, 16, 301, 112, 557, 239, 184, 402, 251, 158, 94, 322, 382, 668, 637, 902, 406, 143, 902, 405, 700, 191, 264, 298, 486, 780, 557, 87, 844, 253, 25, 658, 726, 21, 541, 52, 800, 703, 370, 696, 513, 931, 699, 393, 299, 433, 102, 662, 965, 230, 750, 343, 353, 221, 971, 612, 249, 502, 668, 551, 758, 609, 630, 657, 791, 304, 356, 549, 326, 213, 452, 814, 235, 578, 565, 673, 333, 290, 642, 311, 313, 635, 112, 340, 903, 185, 400, 967, 690, 42, 49, 565, 270, 77, 390, 805, 902, 251, 73, 547, 875, 54, 45, 891, 421, 412, 370, 188, 29, 885, 289, 705, 958, 135, 799, 941, 815, 716, 302, 126, 257, 521, 237, 43, 807, 534, 568, 655, 155, 414, 198, 880, 48, 252, 323, 76, 127, 182, 747, 850, 626, 49, 384, 25, 75, 350, 260, 56, 317, 592, 429, 896, 461, 96, 468, 535, 24, 709, 249, 279, 572, 335, 973, 663, 740, 591, 715, 459, 355, 220, 123, 270, 587, 183, 213, 394, 329, 797, 625, 580, 765, 249, 371, 142, 475, 48, 875, 257, 578, 927, 630, 557, 779, 407, 428, 48, 813, 371, 878, 687, 604, 395, 259, 569, 116, 415, 516, 798, 706, 440, 929, 876, 685, 914, 679, 564, 696, 800, 217, 329, 666, 653, 793, 499, 983, 187, 483, 596, 246, 728, 787, 227, 689, 724, 966, 755, 166, 335, 111, 764, 283, 675, 676, 163, 155, 947, 468, 174, 828, 816, 140, 205, 426, 690, 939, 639, 121, 694, 412, 104, 293, 791, 66, 622, 346, 746, 694, 370, 589, 572, 971, 786, 860, 401, 75, 117, 566, 462, 951, 63, 569, 256, 636, 84, 679, 231, 879, 420, 952, 526, 522, 672, 628, 477, 259, 431, 519, 65, 812, 502, 813, 731, 559, 995, 707, 714, 125, 163, 745, 407, 759, 455, 784, 182, 837, 426, 173, 14, 299, 608, 137, 859, 625, 559, 802, 795, 354, 775, 615, 825, 426, 704, 300, 369, 352, 743, 606, 779, 717, 663, 525, 409, 956, 850, 360, 627, 894, 537, 571, 530, 752, 244, 316, 739, 214, 107, 65, 506, 562, 725, 243, 640, 0, 348, 421, 353, 220, 268, 28, 345, 437, 202, 63, 248, 290, 924, 378, 305, 303, 617, 207, 776, 379, 47, 554, 177, 584, 976, 19, 273, 318, 767, 332, 893, 714, 245, 695, 424, 119, 156, 151, 838, 151, 524, 860, 871, 822, 550, 239, 103, 285, 669, 763, 834, 969, 781, 190, 418, 857, 308, 750, 514, 335, 635, 671, 594, 155, 535, 46, 871, 641, 647, 519, 371, 377, 212, 461, 776, 808, 78, 202, 872, 809, 644, 786, 75, 941, 967, 419, 789, 926, 150, 168, 887, 132, 82, 646, 63, 102, 970, 795, 288, 936, 187, 313, 962, 528, 485, 452, 350, 433, 209, 973, 219, 102, 232, 899, 800, 52, 657, 130, 258, 727, 220, 880, 402, 93, 632, 670, 617, 425, 147, 493, 112, 805, 569, 675, 167, 720, 132, 7, 884, 899, 680, 969, 986, 125, 588, 420, 266, 154, 540, 56, 685, 679, 85, 444, 463, 797, 898, 619, 720, 812, 652, 705, 353, 701, 652, 832, 847, 243, 739, 722, 438, 920, 270, 233, 527, 874, 193, 415, 347, 126, 362, 10, 591, 495, 987, 847, 929, 391, 939, 273, 76, 561, 392, 38, 883, 465, 731, 152, 875, 983, 587, 791, 372, 683, 649, 185, 778, 98, 529, 113, 72, 942, 514, 608, 15, 243, 663, 497, 101, 495, 564, 375, 19, 607, 573, 41, 101, 469, 90, 57, 355, 828, 89, 840, 708, 907, 16, 64, 491, 582, 158, 775, 760, 73, 630, 620, 879, 50, 281, 508, 482, 646, 13, 814, 131, 193, 922, 144, 852, 612, 859, 526, 724, 58, 934, 626, 900, 545, 212, 130, 215, 40, 29, 879, 944, 494, 365, 213, 332, 658, 497, 171, 160, 68, 751, 504, 769, 490, 429, 818, 251, 899, 553, 996, 877, 976, 386, 739, 180, 264, 171, 897, 757, 889, 130, 393, 493, 865, 895, 508, 695, 868, 476, 559, 518, 179, 740, 764, 418, 336, 497, 698, 762, 104, 41, 318, 594, 866, 439, 47, 169, 134, 632, 845, 450, 556, 453, 482, 803, 725, 932, 368, 963, 703, 892, 499, 381, 521, 390, 910, 124, 634, 961, 584, 88, 697, 560, 252, 407, 932, 540, 465, 852, 912, 45, 651, 2, 631, 574, 354, 368, 977, 779, 975, 651, 521, 262, 815, 976, 675, 391, 421, 452, 430, 244, 908, 461, 908, 817, 787, 456, 866, 184, 160, 549, 359, 951, 722, 7, 331, 988, 750, 67, 817, 714, 492, 202, 411, 165, 551, 380, 203, 516, 488, 781, 68, 231, 541, 547, 649, 573, 231, 758, 917, 147, 894, 914, 228, 352, 340, 3, 625, 922, 905, 534, 362, 755, 405, 519, 15, 367, 881, 586, 219, 561, 360, 161, 438, 857, 291, 878, 979, 730, 382, 295, 1, 208, 856, 917, 912, 877, 222, 520, 701, 129, 250, 493, 86, 37, 16, 599, 97, 662, 566, 560, 300, 680, 664, 596, 288, 853, 486, 774, 245, 661, 181, 274, 884, 587, 235, 448, 280, 344, 889, 553, 24, 793, 895, 823, 154, 168, 190, 103, 652, 290, 428, 956, 758, 144, 29, 99, 672, 152, 111, 365, 140, 79, 177, 408, 442, 617, 861, 647, 589, 142, 224, 386, 184, 862, 71, 845, 383, 997, 541, 436, 23, 861, 13, 669, 867, 442, 458, 462, 614, 70, 478, 747, 523, 215, 514, 785, 573, 500, 863, 883, 713, 599, 730, 552, 276, 802, 406, 109, 916, 713, 690, 807, 727, 824, 682, 456, 135, 822, 376, 400, 382, 936, 226, 298, 995, 341, 285, 286, 17, 551, 661, 310, 560, 640, 323, 46, 769, 927, 166, 69, 212, 793, 282, 271, 977, 312, 134, 943, 219, 143, 252, 32, 894, 85, 275, 646, 952, 621, 513, 878, 746, 518, 542, 468, 862, 201, 930, 470, 39, 734, 38, 180, 123, 430, 149, 450, 260, 437, 566, 121, 96, 34, 108, 583, 599, 923, 7, 319, 139, 658, 719, 19, 160, 360, 687, 774, 807, 491, 66, 138, 518, 550, 773, 614, 268, 286, 383, 279, 205, 43, 400, 114, 93, 929, 562, 580, 14, 15, 208, 645, 815, 862, 611, 392, 765, 258, 735, 814, 153, 503, 172, 694, 221, 490, 342, 373, 462, 673, 847, 117, 866, 288, 124, 148, 93, 716, 150, 276, 216, 439, 169, 863, 954, 783, 248, 725, 542, 602, 771, 935, 341, 124, 305, 159, 74, 311, 405, 486, 410, 410, 762, 85, 662, 24, 164, 56, 983, 104, 503, 273, 966, 332, 127, 40, 786, 893, 532, 900, 35, 310, 867, 930, 799, 94, 953, 608, 406, 235, 429, 880, 809, 947, 217, 250, 980, 756, 530, 36, 242, 69, 66, 178, 661, 653, 158, 647, 154, 930, 267, 657, 384, 319, 605, 193, 237, 475, 752, 434, 402, 9, 772, 229, 664, 282, 535, 965, 686, 722, 456, 242, 78, 320, 701, 254, 329, 131, 81, 810, 730, 381, 281, 245, 763, 114, 457, 347, 872, 545, 324, 430, 302, 555, 117, 996, 978, 805, 277, 418, 631, 387, 964, 259, 322, 463, 76, 201, 380, 908, 816, 393, 748, 529, 248, 416, 818, 192, 670, 140, 459, 824, 978, 609, 680, 741, 724, 910, 938, 183, 119, 54, 802, 242, 792, 607, 291, 37, 20, 441, 166, 268, 966, 769, 494, 258, 965, 667, 365, 260, 917, 178, 641, 626, 143, 34, 743, 11, 968, 77, 436, 431, 933, 420, 392, 415, 173, 570, 732, 683, 257, 272, 638, 282, 767, 59, 914, 138, 381, 417, 490, 622, 443, 529, 884, 782, 178, 508, 988, 114, 58, 283, 920, 964, 614, 945, 263, 105, 95, 169, 226, 785, 783, 999, 943, 732, 942, 267, 649, 776, 699, 810, 427, 157, 54, 524, 472, 142, 840, 618, 962, 159, 495, 414, 239, 798, 73, 362, 979, 997, 191, 411, 550, 305, 895, 262, 390, 101, 246, 181, 369, 319, 859, 68, 618, 21, 261, 920, 4, 336, 955, 718, 656, 887, 375, 373, 768, 951, 889, 783, 209, 687, 891, 898, 33, 751, 180, 84, 153, 784, 931, 145, 363, 285, 183, 50, 643, 843, 689, 700, 816, 163, 14, 306, 970, 148, 833, 438, 78, 653, 583, 43, 229, 51, 577, 997, 698, 411, 272, 507, 832, 225, 600, 527, 391, 827, 237, 373, 217, 596, 822, 832, 356, 423, 849, 594, 253, 952, 941, 685, 265, 978, 326, 283, 152, 564, 503, 355, 374, 380, 173, 94, 731, 603, 326, 986, 144, 71, 12, 898, 281, 280, 250, 913, 973, 813, 59, 565, 306, 97, 865, 108, 286, 216, 844, 605, 838, 631, 537, 955, 103, 734}

    Returns: {1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1 }

  140. 1000

    {264, 446, 339, 320, 223, 9, 467, 439, 38, 888, 214, 591, 959, 235, 205, 571, 301, 516, 455, 911, 450, 750, 363, 809, 919, 813, 482, 972, 181, 33, 210, 198, 894, 690, 562, 540, 709, 283, 135, 147, 7, 164, 867, 983, 335, 768, 665, 787, 598, 846, 309, 408, 143, 188, 423, 614, 908, 732, 406, 192, 316, 367, 738, 894, 507, 214, 400, 28, 407, 122, 116, 92, 865, 271, 564, 620, 956, 765, 137, 819, 508, 585, 589, 338, 346, 778, 755, 228, 39, 501, 777, 668, 315, 626, 815, 159, 682, 771, 429, 173, 863, 160, 58, 374, 283, 230, 298, 500, 920, 921, 488, 68, 418, 30, 695, 598, 808, 79, 796, 57, 529, 530, 816, 497, 504, 427, 191, 147, 0, 109, 470, 774, 541, 922, 183, 561, 276, 895, 206, 90, 595, 823, 308, 67, 510, 401, 106, 403, 374, 676, 477, 416, 326, 931, 646, 573, 824, 72, 762, 888, 168, 330, 913, 286, 543, 968, 229, 422, 333, 818, 411, 116, 51, 281, 249, 132, 756, 731, 652, 194, 101, 817, 805, 613, 856, 501, 788, 803, 726, 126, 82, 236, 616, 868, 876, 133, 747, 49, 267, 205, 656, 343, 671, 963, 280, 665, 711, 36, 898, 534, 325, 671, 42, 192, 795, 920, 491, 807, 607, 356, 988, 63, 614, 391, 933, 615, 32, 386, 21, 999, 455, 327, 154, 594, 934, 125, 596, 59, 261, 610, 657, 936, 27, 711, 293, 589, 586, 710, 92, 207, 397, 12, 707, 973, 48, 710, 887, 43, 346, 376, 772, 163, 204, 713, 476, 310, 395, 398, 153, 588, 98, 343, 101, 765, 773, 195, 761, 167, 860, 240, 244, 777, 608, 831, 285, 156, 440, 761, 687, 435, 635, 657, 103, 153, 148, 783, 504, 689, 998, 501, 973, 581, 114, 717, 579, 451, 584, 675, 307, 936, 259, 196, 119, 328, 478, 46, 241, 308, 621, 738, 724, 776, 429, 870, 903, 955, 391, 476, 630, 946, 950, 584, 836, 88, 495, 422, 909, 315, 369, 125, 272, 413, 424, 290, 996, 837, 542, 783, 610, 334, 999, 447, 294, 151, 589, 12, 323, 369, 509, 442, 221, 586, 652, 842, 676, 938, 958, 417, 726, 604, 157, 903, 564, 978, 474, 600, 722, 131, 147, 274, 565, 388, 881, 325, 294, 200, 240, 393, 619, 587, 735, 554, 742, 769, 463, 429, 750, 695, 538, 636, 445, 220, 871, 563, 935, 362, 877, 887, 36, 509, 544, 628, 513, 333, 19, 368, 53, 787, 992, 650, 843, 171, 478, 148, 66, 823, 493, 759, 826, 587, 85, 736, 514, 25, 763, 357, 455, 160, 845, 419, 575, 852, 418, 883, 999, 858, 231, 507, 982, 631, 512, 906, 997, 242, 145, 320, 810, 649, 133, 847, 659, 253, 384, 446, 2, 870, 414, 702, 814, 224, 247, 461, 876, 548, 764, 776, 687, 568, 970, 527, 110, 211, 160, 233, 476, 571, 475, 846, 561, 202, 620, 839, 614, 448, 482, 788, 427, 230, 615, 54, 484, 673, 221, 950, 851, 468, 924, 563, 938, 392, 991, 338, 791, 749, 932, 639, 314, 931, 184, 249, 450, 834, 496, 173, 784, 82, 761, 100, 906, 972, 286, 506, 128, 47, 309, 505, 288, 379, 467, 349, 217, 719, 382, 988, 767, 122, 169, 371, 960, 250, 70, 261, 0, 402, 789, 833, 928, 666, 474, 922, 504, 185, 344, 572, 341, 264, 745, 738, 593, 555, 58, 395, 110, 168, 927, 485, 926, 858, 535, 6, 228, 238, 612, 204, 408, 353, 771, 426, 813, 83, 432, 458, 883, 811, 238, 754, 425, 719, 720, 893, 162, 822, 395, 978, 559, 219, 100, 682, 765, 608, 109, 575, 545, 70, 480, 754, 301, 218, 236, 529, 708, 922, 947, 38, 634, 591, 471, 709, 755, 459, 491, 413, 559, 195, 328, 431, 370, 867, 360, 741, 205, 397, 886, 623, 824, 29, 155, 254, 616, 678, 381, 249, 325, 60, 309, 679, 285, 478, 933, 255, 817, 886, 212, 646, 335, 204, 957, 30, 898, 800, 477, 852, 928, 326, 289, 206, 552, 146, 90, 162, 506, 25, 279, 45, 377, 484, 954, 663, 933, 822, 403, 545, 345, 575, 451, 428, 904, 111, 545, 533, 360, 343, 137, 758, 44, 247, 40, 835, 921, 425, 6, 352, 349, 274, 667, 23, 383, 217, 93, 986, 146, 532, 393, 214, 538, 69, 187, 301, 143, 159, 490, 23, 306, 641, 880, 787, 549, 412, 447, 679, 225, 645, 210, 85, 517, 326, 212, 368, 879, 817, 28, 51, 579, 298, 56, 79, 415, 712, 601, 492, 63, 31, 71, 231, 127, 131, 898, 673, 388, 53, 166, 565, 630, 502, 960, 207, 267, 28, 928, 85, 101, 990, 509, 451, 976, 207, 384, 416, 327, 816, 9, 661, 949, 26, 955, 955, 660, 809, 818, 611, 867, 52, 911, 290, 254, 602, 784, 800, 182, 858, 703, 360, 552, 958, 873, 138, 747, 788, 444, 586, 569, 305, 203, 878, 36, 534, 2, 470, 665, 426, 691, 176, 573, 742, 636, 49, 469, 856, 374, 924, 216, 13, 274, 202, 340, 189, 889, 378, 499, 403, 382, 410, 434, 52, 363, 83, 480, 258, 593, 712, 757, 387, 198, 688, 208, 241, 165, 603, 793, 410, 41, 48, 299, 173, 464, 837, 537, 287, 994, 150, 333, 221, 513, 675, 250, 731, 503, 707, 918, 730, 366, 602, 458, 379, 907, 272, 15, 947, 79, 559, 919, 469, 452, 669, 629, 199, 507, 198, 796, 209, 884, 524, 587, 577, 132, 450, 7, 844, 702, 291, 306, 661, 966, 767, 14, 618, 295, 328, 524, 59, 344, 518, 304, 870, 110, 304, 311, 314, 927, 442, 979, 197, 62, 760, 217, 96, 240, 142, 911, 468, 786, 76, 484, 881, 691, 623, 358, 917, 845, 89, 78, 464, 678, 860, 473, 640, 990, 808, 757, 744, 631, 193, 142, 688, 670, 109, 942, 893, 949, 445, 496, 58, 408, 653, 839, 953, 8, 277, 753, 663, 864, 41, 555, 939, 747, 105, 521, 155, 377, 882, 391, 312, 766, 612, 613, 209, 42, 286, 162, 202, 585, 666, 366, 114, 371, 823, 864, 184, 800, 82, 865, 684, 684, 248, 378, 193, 6, 474, 462, 648, 150, 830, 908, 76, 535, 413, 108, 612, 620, 706, 784, 310, 441, 753, 276, 52, 294, 314, 759, 591, 497, 939, 177, 998, 832, 751, 824, 677, 44, 289, 900, 83, 315, 953, 306, 527, 59, 196, 96, 135, 689, 183, 960, 611, 493, 780, 362, 350, 118, 874, 578, 830, 289, 664, 164, 30, 555, 380, 715, 268, 889, 753, 734, 793, 812, 272, 827, 138, 690, 506, 397, 850, 265, 439, 853, 751, 398, 618, 200, 489, 600, 558, 400, 42, 317, 776, 979, 258, 913, 495, 759, 618, 279, 463, 882, 280, 463, 5, 891, 310, 113, 556, 794, 675, 836, 984, 621, 544, 809, 242, 842, 673, 8, 84, 921, 26, 520, 29, 195, 741, 396, 493, 68, 111, 153, 888, 706, 801, 862, 22, 791, 414, 576, 931, 47, 220, 819, 513, 348, 677, 773, 660, 193, 702, 284, 7, 265, 682, 440, 126, 347, 496, 602, 35, 398, 295, 724, 907, 847, 98, 128, 717, 220, 997, 424, 20, 47, 703, 835, 444, 304, 386, 996, 439, 226, 850, 422, 601, 970, 659, 919, 996, 572, 839, 615, 363, 780, 383, 829, 146, 871, 168, 801, 951, 161, 979, 351, 797, 939, 298, 936, 807, 0, 277, 230, 689, 25, 346, 741, 114, 183, 533, 680, 365, 130, 423, 87, 895, 740, 584, 365, 521, 492, 353, 347, 46, 423, 903, 150, 235, 353, 196, 578, 749, 407, 417, 76, 284, 368, 994, 972, 947, 822, 233, 633, 585, 778, 278, 358, 382, 56, 415, 78, 302, 946, 637, 37, 694, 684, 311, 322, 175, 130, 253, 535, 814, 187, 46, 248, 118, 485, 949, 648, 758, 912, 834, 895, 122, 710, 717, 547, 190, 131, 384, 546, 884, 720, 850, 45, 49, 311, 777, 757, 641, 580, 630, 473, 879, 857, 377, 281, 628, 752, 709, 621, 203, 208, 676, 688, 271, 908, 259, 335, 906, 459, 10, 503, 974, 814, 639, 663, 142, 944, 542, 976, 245, 442, 812, 313, 139, 405, 222, 635, 640, 21, 958, 920, 694, 532, 32, 469, 878, 581, 807, 561, 515, 164, 567, 981, 942, 500, 502, 14, 705, 705, 711, 5, 590, 582, 755, 359, 508, 976, 973, 88, 677, 5, 578, 929, 975, 190, 988, 645, 791, 180, 857, 951, 834, 267, 480, 148, 386, 293, 841, 573, 657, 646, 599, 896, 449, 622, 660, 12, 366, 128, 989, 224, 786, 529, 190, 349, 320, 48, 649, 572, 616, 876, 683, 211, 896, 510, 233, 243, 568, 21, 225, 984, 891, 445, 992, 15, 8, 258, 13, 540, 171, 708, 426, 41, 935, 135, 380, 670, 773, 723, 344, 9, 847, 605, 497, 98, 811, 186, 280, 924, 130, 887, 176, 444, 544, 737, 105, 533, 719, 103, 149, 13, 71, 886, 967, 54, 580, 783, 446, 737, 564, 307, 371, 86, 419}

    {420, 106, 696, 696, 897, 746, 488, 622, 167, 327, 18, 2, 324, 454, 940, 245, 637, 798, 100, 69, 350, 622, 495, 334, 758, 475, 87, 827, 24, 201, 609, 144, 252, 33, 905, 536, 175, 219, 662, 275, 43, 51, 302, 746, 401, 337, 546, 34, 910, 576, 436, 299, 995, 404, 941, 176, 982, 632, 642, 728, 838, 4, 762, 490, 24, 652, 174, 203, 897, 678, 356, 626, 73, 72, 143, 138, 456, 927, 642, 632, 541, 900, 209, 268, 482, 844, 626, 566, 178, 425, 537, 644, 96, 980, 728, 336, 754, 625, 103, 566, 910, 303, 912, 23, 134, 489, 511, 904, 187, 935, 583, 404, 178, 651, 840, 863, 551, 607, 108, 699, 580, 399, 355, 432, 170, 102, 681, 410, 105, 416, 729, 275, 940, 125, 849, 472, 351, 331, 332, 558, 892, 151, 798, 73, 385, 420, 81, 718, 638, 141, 396, 387, 300, 244, 447, 22, 32, 389, 779, 877, 981, 566, 943, 352, 481, 525, 941, 639, 396, 331, 262, 861, 112, 345, 259, 828, 104, 892, 556, 743, 510, 355, 617, 597, 266, 693, 567, 718, 449, 734, 443, 832, 404, 848, 879, 760, 10, 751, 250, 508, 792, 705, 619, 574, 80, 992, 308, 766, 703, 925, 99, 654, 324, 815, 969, 554, 885, 514, 158, 861, 917, 723, 93, 431, 414, 454, 716, 739, 597, 271, 725, 877, 799, 721, 733, 296, 336, 84, 607, 282, 55, 937, 394, 798, 862, 698, 854, 412, 980, 466, 875, 113, 880, 254, 53, 390, 297, 273, 87, 65, 55, 526, 60, 460, 672, 351, 523, 464, 316, 606, 337, 918, 216, 794, 708, 674, 312, 775, 539, 89, 91, 247, 983, 698, 945, 550, 941, 438, 570, 785, 434, 772, 806, 679, 697, 633, 789, 932, 300, 547, 322, 739, 943, 115, 392, 189, 197, 77, 340, 492, 161, 598, 152, 71, 481, 558, 959, 516, 459, 779, 376, 731, 806, 848, 340, 57, 801, 599, 485, 337, 361, 347, 855, 181, 785, 494, 557, 624, 139, 549, 467, 107, 19, 916, 179, 745, 827, 961, 432, 433, 72, 456, 590, 985, 831, 987, 342, 790, 668, 487, 884, 603, 18, 129, 826, 530, 907, 77, 802, 361, 179, 307, 317, 644, 733, 869, 551, 641, 774, 990, 909, 411, 144, 26, 647, 481, 362, 443, 654, 248, 3, 770, 489, 522, 418, 287, 965, 829, 875, 62, 194, 860, 981, 633, 323, 700, 948, 984, 292, 978, 166, 699, 293, 117, 364, 255, 795, 462, 546, 849, 624, 781, 543, 236, 303, 985, 649, 627, 141, 222, 570, 232, 486, 671, 685, 266, 428, 208, 782, 390, 925, 163, 39, 686, 389, 635, 517, 181, 215, 91, 256, 163, 372, 115, 443, 284, 727, 263, 662, 894, 405, 825, 129, 45, 727, 70, 61, 829, 844, 991, 537, 523, 553, 643, 782, 892, 986, 334, 743, 43, 713, 779, 66, 517, 780, 239, 704, 866, 577, 367, 329, 764, 75, 804, 430, 136, 22, 742, 235, 849, 56, 154, 140, 604, 61, 522, 734, 961, 399, 234, 64, 94, 379, 651, 977, 494, 869, 91, 932, 161, 269, 728, 406, 330, 94, 145, 882, 725, 852, 542, 951, 769, 234, 288, 44, 375, 498, 156, 583, 706, 152, 890, 191, 285, 799, 873, 937, 452, 341, 505, 868, 158, 805, 964, 170, 914, 108, 402, 670, 549, 994, 129, 632, 453, 686, 401, 701, 211, 681, 62, 962, 461, 460, 213, 479, 562, 260, 902, 502, 127, 330, 674, 491, 786, 601, 736, 441, 950, 704, 825, 282, 854, 341, 512, 853, 548, 693, 313, 483, 302, 383, 27, 611, 668, 364, 134, 428, 643, 479, 746, 519, 582, 865, 848, 174, 643, 295, 144, 697, 149, 792, 296, 64, 775, 651, 727, 885, 692, 980, 926, 471, 880, 424, 238, 944, 872, 539, 893, 532, 771, 541, 975, 609, 27, 199, 120, 255, 50, 188, 873, 531, 124, 291, 123, 40, 316, 917, 200, 851, 714, 816, 841, 466, 956, 420, 123, 855, 749, 993, 336, 117, 526, 74, 520, 836, 166, 590, 139, 227, 653, 468, 619, 487, 106, 669, 305, 355, 120, 61, 623, 415, 73, 80, 534, 820, 725, 457, 55, 67, 775, 465, 373, 406, 756, 436, 592, 436, 627, 323, 547, 365, 901, 531, 804, 553, 638, 653, 691, 75, 570, 369, 680, 145, 556, 975, 237, 554, 246, 317, 596, 252, 797, 968, 594, 107, 277, 296, 390, 956, 838, 151, 713, 841, 687, 257, 998, 499, 155, 553, 954, 574, 226, 234, 967, 172, 158, 718, 736, 560, 937, 453, 993, 944, 257, 16, 594, 31, 799, 262, 969, 332, 557, 562, 588, 883, 499, 505, 963, 796, 986, 385, 804, 644, 830, 763, 212, 185, 519, 948, 954, 608, 952, 219, 99, 628, 699, 856, 568, 186, 523, 971, 512, 503, 744, 322, 605, 338, 159, 825, 434, 993, 680, 647, 989, 859, 874, 97, 889, 245, 458, 297, 172, 963, 215, 648, 582, 810, 900, 11, 604, 152, 75, 102, 655, 899, 974, 866, 357, 797, 126, 385, 483, 448, 521, 528, 820, 136, 288, 466, 803, 593, 275, 902, 811, 785, 182, 730, 475, 191, 232, 629, 519, 218, 997, 66, 324, 437, 854, 912, 774, 500, 795, 560, 228, 833, 701, 592, 806, 170, 745, 477, 35, 270, 966, 375, 595, 69, 107, 373, 174, 402, 265, 603, 550, 409, 488, 472, 991, 261, 19, 104, 576, 748, 536, 121, 716, 88, 881, 74, 698, 140, 518, 1, 472, 84, 640, 273, 17, 840, 99, 525, 86, 77, 154, 313, 744, 637, 658, 319, 828, 732, 319, 116, 868, 645, 861, 376, 37, 794, 929, 262, 923, 899, 662, 119, 843, 700, 399, 237, 769, 123, 808, 172, 218, 119, 394, 3, 945, 764, 700, 514, 914, 859, 370, 121, 350, 448, 722, 473, 916, 244, 781, 938, 372, 733, 387, 113, 971, 134, 970, 642, 793, 560, 251, 782, 97, 690, 34, 86, 177, 968, 457, 899, 449, 953, 805, 367, 714, 540, 312, 872, 438, 292, 471, 752, 831, 241, 901, 251, 4, 729, 964, 666, 913, 748, 225, 525, 977, 596, 393, 67, 857, 437, 1, 498, 683, 16, 934, 34, 766, 837, 189, 215, 722, 606, 707, 74, 885, 874, 531, 268, 421, 625, 661, 421, 256, 552, 600, 835, 810, 610, 726, 120, 520, 697, 930, 716, 405, 40, 957, 729, 253, 843, 10, 864, 273, 132, 910, 624, 133, 184, 650, 686, 461, 263, 672, 89, 269, 179, 329, 735, 820, 855, 483, 226, 634, 636, 748, 454, 94, 567, 952, 318, 962, 967, 583, 354, 329, 201, 522, 538, 915, 605, 965, 674, 974, 914, 290, 543, 655, 37, 227, 730, 959, 995, 595, 411, 813, 359, 435, 515, 916, 929, 178, 438, 345, 39, 565, 692, 276, 987, 18, 479, 417, 957, 297, 260, 206, 433, 243, 185, 767, 33, 828, 342, 291, 300, 177, 853, 441, 117, 278, 188, 772, 838, 948, 381, 872, 270, 102, 550, 851, 866, 631, 378, 539, 732, 862, 915, 659, 792, 266, 171, 695, 339, 527, 95, 548, 229, 318, 197, 137, 95, 140, 833, 246, 65, 989, 490, 946, 392, 242, 370, 740, 364, 739, 498, 31, 515, 239, 356, 581, 118, 750, 112, 348, 180, 299, 194, 321, 756, 157, 723, 845, 715, 435, 599, 251, 840, 790, 213, 871, 431, 352, 124, 388, 421, 638, 802, 812, 169, 486, 617, 462, 655, 977, 654, 430, 625, 359, 54, 38, 465, 127, 319, 440, 430, 818, 372, 923, 16, 4, 169, 712, 923, 227, 229, 528, 701, 715, 232, 863, 358, 634, 223, 966, 551, 696, 714, 789, 354, 224, 394, 257, 961, 470, 17, 263, 735, 681, 305, 803, 486, 971, 768, 246, 869, 826, 165, 724, 50, 692, 518, 182, 588, 17, 770, 90, 222, 157, 905, 283, 292, 104, 962, 815, 186, 859, 419, 243, 693, 407, 721, 842, 11, 35, 664, 737, 81, 930, 65, 592, 121, 721, 821, 905, 629, 667, 437, 536, 80, 57, 597, 891, 926, 574, 303, 694, 740, 389, 878, 124, 264, 526, 260, 97, 237, 930, 778, 180, 29, 530, 658, 354, 896, 239, 279, 511, 890, 790, 321, 1, 902, 269, 752, 409, 770, 141, 465, 199, 846, 982, 20, 78, 15, 627, 112, 136, 213, 987, 457, 606, 890, 918, 373, 516, 557, 647, 925, 92, 943, 940, 685, 50, 24, 321, 909, 3, 487, 875, 897, 945, 460, 156, 494, 165, 901, 192, 375, 400, 832, 20, 270, 609, 427, 111, 456, 672, 685, 802, 965, 357, 942, 964, 579, 409, 64, 60, 821, 223, 381, 339, 969, 278, 63, 68, 667, 781, 762, 763, 216, 231, 115, 433, 613, 985, 569, 175, 743, 11, 577, 201, 704, 664, 669, 683, 656, 361, 904, 342, 760, 452, 934, 656, 453, 819, 983, 252, 95, 282, 768, 256, 331, 281, 318, 524, 569, 93, 571, 332, 348, 617, 167, 14, 287, 821, 720, 658, 210, 511, 650, 149, 563, 81, 915, 995, 528, 380, 952, 412}

    Returns: {1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1 }

  141. 1000

    {592, 633, 470, 758, 442, 48, 843, 83, 226, 960, 514, 473, 806, 284, 452, 645, 206, 855, 272, 841, 983, 993, 7, 864, 705, 559, 168, 593, 805, 698, 509, 995, 580, 557, 414, 755, 746, 36, 232, 617, 963, 323, 432, 447, 981, 783, 742, 507, 611, 529, 348, 402, 811, 97, 136, 352, 28, 773, 436, 518, 52, 6, 103, 80, 433, 22, 44, 210, 985, 63, 32, 252, 354, 674, 628, 721, 805, 865, 828, 843, 555, 332, 241, 677, 388, 54, 457, 534, 218, 680, 741, 285, 550, 712, 514, 169, 658, 255, 593, 928, 35, 317, 240, 713, 223, 191, 212, 672, 23, 859, 225, 962, 833, 809, 701, 491, 135, 422, 948, 838, 993, 114, 754, 6, 266, 271, 116, 572, 877, 4, 112, 724, 309, 818, 109, 119, 29, 502, 423, 157, 356, 625, 38, 601, 895, 384, 255, 181, 979, 548, 968, 561, 105, 410, 834, 389, 602, 764, 631, 151, 100, 85, 632, 36, 955, 251, 615, 634, 665, 222, 623, 922, 401, 924, 148, 650, 489, 27, 888, 183, 95, 65, 989, 759, 86, 849, 342, 703, 285, 475, 154, 962, 326, 737, 664, 548, 140, 357, 582, 891, 175, 537, 115, 157, 841, 65, 57, 780, 746, 439, 88, 237, 450, 527, 928, 73, 258, 962, 950, 893, 53, 17, 508, 356, 850, 402, 668, 443, 366, 69, 113, 136, 589, 275, 597, 693, 365, 969, 547, 265, 307, 771, 612, 344, 379, 7, 977, 653, 92, 419, 745, 160, 351, 389, 963, 866, 699, 176, 782, 333, 645, 752, 35, 448, 441, 691, 951, 323, 211, 79, 612, 902, 342, 446, 272, 585, 450, 798, 746, 814, 956, 444, 458, 26, 156, 385, 796, 324, 953, 759, 188, 781, 119, 150, 893, 436, 809, 605, 872, 361, 223, 733, 391, 588, 287, 423, 434, 765, 862, 691, 979, 164, 451, 660, 152, 800, 544, 910, 601, 731, 390, 387, 250, 666, 644, 662, 530, 849, 232, 33, 409, 731, 305, 900, 376, 336, 331, 607, 548, 384, 930, 110, 253, 71, 121, 961, 458, 129, 895, 645, 740, 652, 757, 899, 53, 273, 400, 683, 112, 398, 892, 836, 762, 710, 8, 592, 480, 366, 579, 299, 858, 164, 998, 221, 712, 788, 507, 735, 197, 920, 842, 557, 954, 60, 964, 495, 221, 846, 490, 798, 407, 911, 538, 426, 767, 697, 863, 342, 511, 476, 446, 703, 55, 101, 526, 701, 919, 885, 562, 254, 378, 858, 799, 404, 245, 319, 452, 933, 644, 41, 574, 605, 33, 824, 568, 889, 948, 901, 178, 106, 490, 830, 896, 747, 665, 396, 286, 275, 904, 783, 328, 50, 779, 240, 829, 594, 660, 395, 267, 135, 505, 919, 92, 380, 441, 439, 48, 299, 955, 135, 14, 101, 206, 111, 408, 963, 782, 565, 898, 137, 785, 648, 345, 385, 120, 219, 168, 811, 796, 776, 348, 964, 97, 556, 21, 981, 32, 764, 182, 108, 950, 482, 505, 793, 704, 945, 837, 480, 331, 757, 20, 840, 598, 919, 534, 461, 81, 958, 175, 694, 831, 865, 757, 317, 481, 457, 797, 956, 329, 871, 551, 85, 598, 123, 767, 997, 549, 311, 79, 303, 881, 131, 718, 835, 780, 683, 221, 9, 401, 88, 440, 219, 990, 212, 786, 149, 805, 343, 225, 451, 9, 913, 842, 619, 947, 752, 482, 114, 416, 470, 223, 351, 48, 761, 364, 691, 768, 713, 181, 831, 736, 483, 109, 941, 658, 290, 998, 89, 969, 329, 99, 390, 620, 361, 618, 320, 767, 796, 820, 226, 923, 670, 242, 503, 706, 624, 511, 694, 174, 475, 343, 808, 609, 549, 93, 704, 295, 155, 593, 172, 999, 389, 743, 900, 159, 492, 146, 3, 182, 914, 250, 173, 946, 74, 487, 927, 253, 607, 756, 927, 672, 770, 393, 307, 681, 36, 922, 595, 112, 978, 333, 855, 424, 130, 154, 380, 523, 673, 678, 540, 874, 591, 101, 242, 698, 570, 897, 777, 217, 297, 541, 236, 824, 543, 570, 35, 440, 380, 269, 652, 774, 911, 643, 725, 354, 240, 916, 377, 339, 550, 497, 360, 507, 58, 765, 286, 926, 282, 696, 22, 709, 154, 726, 253, 118, 338, 483, 860, 974, 61, 765, 867, 807, 646, 324, 785, 839, 229, 724, 459, 84, 55, 732, 910, 0, 319, 236, 657, 923, 388, 442, 976, 713, 995, 926, 850, 40, 954, 183, 337, 742, 953, 88, 216, 892, 258, 526, 889, 690, 973, 239, 603, 303, 657, 212, 97, 760, 0, 614, 152, 565, 835, 328, 917, 439, 382, 914, 990, 403, 155, 111, 991, 744, 492, 573, 247, 693, 71, 749, 379, 82, 665, 954, 14, 621, 730, 974, 210, 785, 396, 180, 504, 60, 194, 288, 844, 91, 298, 636, 629, 424, 941, 741, 307, 961, 599, 745, 590, 302, 141, 349, 935, 465, 994, 416, 555, 414, 71, 718, 671, 846, 712, 87, 953, 599, 535, 484, 64, 448, 695, 414, 982, 856, 4, 724, 491, 579, 374, 295, 15, 397, 16, 565, 264, 810, 169, 745, 948, 61, 592, 597, 321, 294, 121, 695, 104, 835, 432, 875, 12, 430, 481, 357, 648, 606, 563, 308, 25, 698, 531, 846, 235, 574, 791, 700, 266, 977, 842, 432, 942, 124, 544, 366, 469, 667, 944, 847, 399, 577, 178, 915, 952, 573, 562, 733, 529, 717, 918, 682, 287, 836, 341, 236, 177, 462, 494, 345, 642, 176, 363, 1, 57, 882, 532, 436, 945, 859, 633, 267, 241, 920, 27, 376, 909, 54, 544, 975, 530, 321, 979, 924, 331, 594, 851, 818, 213, 888, 116, 385, 762, 753, 478, 639, 39, 273, 321, 807, 347, 234, 346, 217, 973, 609, 3, 682, 170, 899, 495, 12, 813, 524, 219, 443, 128, 809, 364, 862, 930, 810, 90, 391, 841, 577, 892, 992, 896, 350, 551, 808, 306, 214, 260, 497, 21, 813, 367, 447, 982, 753, 736, 295, 726, 375, 877, 39, 498, 991, 584, 885, 49, 700, 726, 468, 365, 269, 482, 483, 725, 667, 30, 3, 540, 642, 214, 52, 378, 833, 244, 653, 232, 787, 98, 177, 199, 173, 352, 636, 814, 627, 878, 500, 80, 15, 868, 401, 574, 68, 562, 174, 586, 537, 803, 621, 208, 187, 628, 412, 217, 308, 923, 287, 120, 104, 663, 984, 947, 611, 703, 320, 293, 155, 234, 243, 364, 778, 67, 589, 384, 967, 474, 419, 429, 208, 341, 84, 729, 731, 108, 799, 298, 169, 68, 52, 372, 6, 412, 585, 459, 106, 263, 603, 840, 909, 333, 925, 848, 677, 983, 299, 375, 874, 985, 555, 352, 878, 722, 747, 63, 777, 346, 563, 648, 501, 222, 455, 58, 588, 131, 404, 570, 503, 759, 628, 4, 41, 972, 710, 860, 422, 134, 468, 734, 426, 473, 370, 810, 766, 581, 774, 868, 510, 783, 148, 147, 189, 194, 747, 474, 261, 998, 837, 84, 237, 733, 247, 956, 732, 357, 541, 261, 382, 490, 779, 820, 339, 297, 438, 81, 334, 674, 903, 264, 494, 960, 718, 672, 952, 865, 427, 673, 706, 603, 203, 452, 705, 18, 191, 840, 793, 109, 19, 788, 210, 319, 642, 589, 391, 771, 542, 282, 438, 533, 57, 104, 873, 298, 741, 850, 388, 606, 914, 601, 454, 358, 716, 635, 855, 550, 214, 264, 993, 159, 0, 753, 288, 317, 343, 988, 443, 102, 433, 272, 394, 625, 867, 719, 246, 9, 873, 938, 524, 890, 15, 337, 487, 999, 351, 429, 784, 241, 579, 336, 93, 290, 848, 187, 437, 361, 547, 896, 823, 940, 211, 318, 861, 498, 517, 983, 434, 725, 293, 653, 669, 20, 81, 447, 818, 255, 199, 473, 572, 18, 157, 678, 420, 267, 581, 530, 474, 208, 620, 779, 502, 959, 257, 60, 49, 597, 885, 142, 174, 969, 355, 278, 247, 775, 612, 740, 524, 870, 142, 80, 694, 500, 917, 330, 273, 916, 560, 515, 261, 832, 571, 720, 627, 871, 143, 856, 306, 168, 132, 8, 33, 567, 502, 73, 866, 419, 377, 879, 110, 377, 928, 429, 813, 430, 650, 172, 450, 894, 763, 206, 876, 40, 481, 619, 894, 853, 710, 773, 586, 280, 997, 823, 324, 902, 108, 583, 717, 973, 891, 782, 115, 374, 66, 202, 280, 372, 940, 451, 943, 430, 477, 903, 297, 843, 609, 872, 113, 516, 696, 620, 990, 920, 861, 541, 977, 766, 291, 527, 942, 523, 186, 341, 66, 823, 668, 68, 119, 369, 242, 556, 40, 22, 961, 53, 111, 349, 830, 848, 121, 985, 318, 689, 624, 889, 832, 658, 55, 847, 764, 454, 477, 637, 399, 410, 668, 372, 981, 423, 854, 454, 334, 621, 561, 930, 266, 522, 493, 786, 862, 143, 688, 876, 895, 152, 368, 194, 606, 517, 650, 629, 202, 588, 338, 85, 607, 877, 263, 499, 326, 899, 780, 279, 581, 61, 132, 276, 834, 116, 347, 349, 92, 891, 477, 927, 942, 348, 294, 158, 705, 547, 118, 413, 652, 437, 468, 968, 265, 446, 762, 159, 955, 196, 670, 778, 551, 365, 807, 382}

    {545, 368, 655, 692, 800, 228, 254, 750, 499, 729, 405, 83, 62, 417, 641, 590, 278, 509, 387, 407, 687, 302, 515, 931, 95, 610, 836, 199, 575, 433, 613, 78, 78, 806, 512, 485, 837, 863, 682, 353, 175, 756, 327, 611, 775, 883, 314, 330, 772, 188, 887, 934, 394, 406, 130, 584, 431, 435, 487, 313, 21, 585, 536, 838, 99, 748, 371, 326, 790, 166, 231, 772, 516, 460, 11, 686, 370, 768, 238, 411, 792, 986, 31, 150, 303, 686, 794, 754, 887, 552, 231, 851, 488, 461, 407, 58, 475, 300, 697, 110, 243, 78, 195, 271, 702, 689, 719, 77, 684, 525, 146, 967, 162, 817, 167, 229, 680, 744, 734, 10, 59, 912, 728, 518, 669, 640, 198, 787, 688, 546, 769, 437, 932, 610, 30, 196, 224, 216, 957, 257, 943, 935, 957, 800, 350, 629, 515, 279, 929, 408, 220, 707, 96, 493, 5, 289, 486, 285, 521, 190, 316, 379, 277, 685, 801, 827, 996, 296, 215, 908, 340, 163, 591, 50, 932, 244, 472, 449, 463, 714, 126, 958, 554, 418, 310, 538, 982, 882, 751, 822, 707, 318, 690, 2, 739, 383, 987, 150, 231, 268, 292, 28, 699, 939, 405, 283, 284, 778, 19, 315, 230, 906, 894, 535, 413, 890, 709, 51, 271, 184, 563, 373, 335, 107, 491, 358, 667, 375, 67, 195, 353, 248, 44, 158, 72, 216, 279, 494, 833, 123, 392, 925, 226, 647, 681, 300, 978, 106, 618, 553, 554, 801, 463, 115, 292, 227, 289, 521, 107, 301, 711, 467, 27, 37, 971, 288, 496, 418, 748, 408, 499, 129, 179, 180, 460, 518, 946, 193, 821, 392, 296, 857, 600, 675, 714, 659, 476, 434, 148, 323, 545, 467, 178, 165, 363, 310, 952, 602, 882, 368, 416, 153, 608, 458, 595, 347, 122, 519, 736, 825, 480, 67, 744, 260, 970, 171, 249, 719, 171, 586, 826, 460, 185, 230, 804, 564, 470, 209, 739, 403, 233, 102, 228, 23, 203, 666, 644, 860, 79, 233, 16, 649, 498, 290, 56, 625, 567, 268, 511, 926, 464, 467, 73, 147, 662, 91, 270, 327, 404, 825, 139, 96, 722, 578, 484, 529, 929, 795, 743, 26, 445, 795, 773, 489, 912, 680, 47, 794, 738, 791, 960, 62, 829, 390, 743, 763, 472, 670, 282, 768, 405, 83, 209, 213, 239, 727, 685, 583, 471, 802, 280, 872, 537, 344, 647, 839, 322, 66, 521, 411, 918, 403, 141, 984, 908, 250, 260, 406, 355, 246, 540, 486, 858, 802, 456, 624, 558, 215, 196, 89, 13, 838, 177, 478, 901, 304, 312, 322, 921, 20, 532, 204, 630, 69, 815, 614, 641, 325, 639, 788, 776, 275, 281, 968, 147, 945, 305, 334, 160, 552, 153, 526, 868, 617, 383, 522, 356, 424, 970, 790, 974, 209, 90, 420, 539, 23, 96, 622, 802, 789, 218, 386, 933, 596, 462, 774, 582, 751, 489, 270, 640, 535, 789, 469, 687, 560, 821, 291, 804, 890, 883, 332, 238, 158, 728, 912, 166, 283, 522, 632, 755, 798, 207, 995, 532, 735, 525, 777, 618, 887, 34, 886, 828, 161, 599, 921, 938, 687, 383, 197, 869, 95, 909, 602, 367, 64, 182, 314, 740, 336, 623, 900, 799, 910, 578, 138, 12, 465, 519, 422, 235, 162, 880, 2, 69, 781, 125, 461, 702, 542, 128, 915, 18, 723, 572, 398, 193, 950, 45, 485, 149, 508, 173, 478, 760, 17, 944, 200, 29, 281, 46, 1, 566, 633, 281, 829, 907, 824, 554, 24, 394, 100, 167, 792, 730, 770, 350, 93, 997, 760, 381, 970, 75, 301, 277, 311, 654, 695, 727, 659, 77, 699, 386, 684, 853, 510, 519, 614, 472, 638, 124, 30, 76, 392, 86, 251, 362, 444, 418, 847, 455, 949, 679, 814, 886, 861, 98, 812, 984, 576, 938, 613, 987, 248, 276, 504, 986, 671, 610, 70, 44, 464, 647, 839, 99, 908, 980, 634, 951, 145, 402, 721, 476, 748, 222, 449, 340, 220, 512, 752, 415, 750, 528, 457, 520, 947, 615, 130, 369, 203, 816, 5, 717, 994, 225, 186, 590, 13, 669, 211, 638, 561, 120, 501, 761, 466, 636, 444, 571, 661, 146, 257, 43, 227, 879, 428, 167, 144, 692, 720, 737, 28, 790, 192, 492, 185, 54, 734, 622, 738, 171, 651, 640, 580, 711, 144, 49, 815, 156, 31, 235, 932, 666, 965, 246, 638, 344, 949, 587, 673, 907, 39, 738, 558, 192, 991, 822, 133, 604, 898, 987, 605, 937, 496, 560, 715, 258, 141, 445, 679, 113, 406, 205, 133, 160, 259, 965, 17, 37, 886, 425, 263, 320, 531, 980, 654, 428, 587, 571, 688, 274, 220, 826, 190, 398, 166, 201, 893, 335, 409, 140, 359, 32, 74, 819, 907, 820, 711, 59, 127, 714, 819, 381, 513, 128, 427, 635, 373, 528, 905, 316, 114, 546, 309, 239, 125, 630, 327, 749, 393, 269, 179, 852, 374, 758, 144, 386, 546, 730, 227, 883, 42, 140, 596, 293, 994, 989, 657, 763, 188, 170, 360, 284, 469, 679, 204, 486, 64, 117, 370, 755, 328, 677, 849, 615, 662, 117, 43, 46, 153, 100, 314, 784, 845, 400, 966, 576, 729, 683, 161, 185, 992, 164, 56, 626, 435, 251, 566, 881, 421, 463, 854, 801, 176, 531, 545, 47, 75, 739, 832, 105, 525, 686, 568, 479, 29, 656, 988, 631, 184, 826, 417, 94, 937, 86, 315, 797, 569, 940, 337, 845, 243, 488, 528, 721, 187, 34, 542, 5, 291, 204, 355, 604, 751, 559, 11, 915, 493, 172, 856, 875, 359, 936, 425, 346, 834, 25, 38, 302, 201, 917, 671, 378, 604, 664, 72, 441, 661, 575, 37, 557, 684, 536, 702, 854, 708, 138, 878, 864, 656, 925, 514, 869, 41, 249, 568, 471, 500, 898, 325, 325, 641, 853, 479, 749, 884, 252, 583, 117, 138, 706, 134, 536, 396, 82, 501, 933, 906, 506, 976, 270, 539, 598, 181, 635, 527, 335, 794, 533, 262, 594, 784, 466, 306, 462, 75, 913, 256, 89, 664, 708, 163, 456, 727, 262, 906, 508, 74, 25, 16, 34, 10, 646, 453, 464, 70, 958, 631, 904, 676, 431, 596, 202, 340, 992, 426, 845, 496, 875, 811, 812, 134, 50, 578, 769, 195, 252, 94, 815, 931, 393, 59, 449, 787, 884, 795, 874, 409, 51, 345, 766, 286, 623, 859, 619, 880, 676, 700, 127, 363, 513, 65, 479, 789, 313, 791, 313, 616, 200, 901, 82, 986, 643, 549, 608, 459, 165, 311, 675, 103, 371, 137, 503, 237, 42, 852, 359, 844, 296, 91, 564, 538, 362, 245, 77, 513, 567, 126, 769, 245, 427, 756, 213, 87, 139, 553, 786, 857, 205, 539, 238, 558, 11, 750, 575, 931, 553, 869, 775, 278, 133, 397, 309, 971, 31, 151, 941, 656, 118, 435, 19, 2, 584, 14, 517, 634, 137, 165, 358, 723, 369, 959, 8, 989, 715, 689, 190, 844, 675, 387, 254, 556, 224, 880, 643, 999, 817, 193, 792, 905, 654, 425, 488, 660, 131, 228, 145, 523, 56, 262, 821, 552, 690, 124, 338, 371, 771, 608, 655, 959, 151, 626, 294, 924, 170, 184, 582, 229, 197, 916, 709, 442, 516, 934, 506, 512, 142, 376, 395, 803, 234, 816, 510, 308, 825, 580, 876, 466, 103, 676, 46, 674, 622, 819, 939, 192, 139, 742, 72, 301, 62, 207, 866, 189, 310, 455, 888, 312, 70, 189, 964, 230, 632, 373, 720, 249, 758, 569, 913, 456, 98, 639, 543, 967, 685, 362, 259, 704, 879, 735, 864, 200, 966, 397, 63, 772, 678, 7, 697, 911, 708, 305, 867, 559, 659, 936, 577, 655, 90, 440, 399, 484, 965, 13, 939, 1, 651, 873, 716, 613, 921, 224, 804, 453, 637, 415, 24, 591, 806, 566, 509, 830, 277, 975, 951, 47, 201, 996, 315, 300, 761, 812, 428, 616, 43, 218, 244, 722, 395, 105, 978, 630, 445, 600, 693, 207, 646, 972, 136, 122, 413, 248, 649, 186, 448, 485, 256, 420, 76, 76, 661, 453, 465, 976, 937, 737, 946, 816, 663, 944, 102, 180, 904, 163, 122, 268, 400, 179, 330, 905, 129, 943, 289, 87, 506, 980, 274, 505, 936, 205, 107, 831, 754, 411, 191, 903, 918, 94, 617, 520, 966, 870, 127, 412, 863, 934, 132, 972, 929, 125, 265, 332, 312, 797, 716, 922, 626, 283, 421, 715, 701, 803, 651, 543, 935, 564, 353, 183, 10, 616, 793, 732, 51, 145, 949, 770, 595, 822, 431, 827, 851, 354, 728, 259, 870, 198, 533, 776, 415, 38, 817, 520, 26, 897, 276, 42, 696, 292, 198, 663, 149, 256, 304, 381, 471, 808, 569, 438, 996, 637, 143, 233, 897, 600, 988, 681, 857, 304, 215, 24, 587, 971, 884, 45, 881, 495, 576, 707, 360, 410, 957, 156, 329, 902, 534, 827, 123, 871, 417, 322, 126, 162, 723, 649, 781, 692, 828, 504, 161, 274, 852, 497, 573, 421, 316, 367, 975, 45, 627, 339}

    Returns: {1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 }

  142. 1000

    {981, 970, 703, 114, 564, 271, 604, 661, 447, 266, 264, 836, 499, 218, 665, 717, 710, 397, 410, 326, 345, 143, 640, 769, 162, 654, 570, 641, 245, 21, 776, 831, 369, 552, 572, 724, 841, 897, 728, 967, 508, 627, 540, 281, 486, 55, 658, 825, 505, 632, 117, 13, 543, 923, 673, 869, 974, 42, 808, 39, 762, 577, 342, 522, 221, 992, 878, 351, 184, 242, 952, 325, 19, 2, 973, 794, 290, 299, 881, 537, 455, 474, 623, 816, 229, 615, 220, 772, 328, 663, 111, 743, 947, 918, 69, 650, 13, 486, 874, 633, 519, 875, 625, 921, 788, 52, 987, 956, 846, 644, 867, 542, 436, 873, 324, 605, 493, 789, 686, 692, 802, 704, 129, 771, 226, 613, 399, 215, 580, 866, 66, 759, 635, 746, 295, 839, 36, 294, 34, 514, 470, 368, 490, 382, 260, 126, 103, 772, 70, 703, 621, 857, 921, 408, 500, 401, 399, 212, 99, 395, 866, 379, 44, 625, 747, 692, 251, 512, 575, 757, 80, 524, 190, 340, 570, 357, 487, 158, 782, 819, 322, 388, 486, 651, 159, 447, 53, 872, 196, 729, 31, 40, 775, 270, 559, 526, 789, 390, 87, 797, 554, 395, 931, 917, 864, 18, 386, 596, 932, 852, 258, 634, 466, 177, 176, 599, 665, 585, 12, 624, 913, 122, 118, 685, 874, 177, 645, 201, 559, 938, 63, 248, 457, 962, 725, 648, 270, 116, 603, 697, 16, 407, 119, 24, 985, 995, 343, 159, 71, 276, 700, 353, 448, 441, 880, 84, 176, 343, 498, 672, 282, 608, 709, 683, 888, 498, 225, 675, 851, 957, 209, 679, 523, 918, 254, 379, 998, 353, 629, 218, 65, 76, 32, 178, 112, 130, 988, 292, 113, 666, 613, 381, 730, 961, 830, 23, 390, 223, 972, 424, 457, 774, 150, 802, 229, 277, 420, 596, 822, 58, 245, 976, 440, 318, 557, 131, 771, 851, 128, 896, 258, 51, 447, 236, 864, 988, 844, 972, 300, 626, 482, 430, 257, 545, 114, 755, 525, 415, 604, 165, 342, 343, 478, 723, 204, 722, 292, 242, 81, 285, 409, 216, 940, 10, 393, 731, 149, 188, 477, 189, 349, 93, 126, 483, 321, 59, 956, 607, 935, 893, 835, 769, 362, 941, 103, 417, 372, 226, 850, 866, 707, 19, 886, 947, 212, 154, 55, 116, 295, 200, 426, 829, 355, 30, 544, 964, 131, 543, 249, 250, 115, 863, 876, 377, 780, 702, 218, 114, 423, 873, 673, 810, 654, 924, 775, 49, 282, 701, 287, 912, 528, 901, 948, 663, 172, 673, 741, 542, 885, 297, 941, 790, 101, 171, 44, 733, 945, 363, 308, 267, 60, 3, 936, 807, 861, 394, 467, 36, 244, 239, 647, 100, 192, 588, 227, 800, 582, 382, 490, 791, 11, 202, 9, 979, 915, 125, 906, 20, 750, 275, 530, 799, 154, 550, 203, 568, 619, 688, 914, 798, 56, 578, 667, 833, 232, 272, 635, 944, 285, 522, 605, 697, 827, 489, 483, 374, 236, 583, 8, 102, 166, 0, 230, 310, 709, 380, 492, 227, 118, 580, 497, 677, 264, 440, 96, 488, 773, 645, 460, 188, 542, 821, 602, 989, 350, 130, 202, 790, 854, 701, 119, 349, 600, 570, 462, 268, 155, 569, 265, 107, 349, 455, 35, 274, 869, 51, 101, 400, 322, 92, 473, 749, 945, 583, 593, 100, 65, 174, 500, 535, 961, 776, 520, 328, 553, 99, 575, 833, 842, 587, 594, 276, 111, 146, 29, 161, 16, 922, 125, 712, 214, 604, 249, 718, 356, 279, 776, 957, 808, 563, 157, 750, 745, 891, 787, 297, 125, 834, 142, 989, 823, 36, 496, 101, 439, 353, 573, 626, 24, 359, 895, 491, 930, 80, 476, 561, 584, 650, 332, 733, 894, 63, 35, 139, 781, 521, 318, 506, 852, 837, 712, 34, 773, 627, 890, 380, 191, 116, 839, 537, 811, 514, 524, 973, 186, 208, 395, 972, 818, 374, 572, 850, 51, 133, 200, 880, 800, 351, 630, 680, 966, 186, 968, 186, 713, 4, 986, 113, 533, 386, 199, 165, 651, 598, 99, 727, 924, 813, 577, 411, 535, 595, 999, 359, 825, 979, 601, 803, 478, 332, 493, 865, 614, 928, 431, 492, 268, 100, 321, 184, 222, 150, 94, 128, 797, 429, 541, 641, 937, 40, 739, 29, 142, 879, 92, 161, 642, 272, 758, 429, 872, 446, 665, 29, 444, 485, 969, 920, 459, 995, 904, 159, 196, 85, 93, 150, 365, 66, 552, 741, 178, 598, 548, 642, 147, 329, 94, 691, 787, 507, 73, 584, 991, 264, 646, 911, 849, 362, 31, 577, 209, 841, 787, 426, 275, 254, 757, 810, 259, 718, 615, 879, 827, 459, 360, 902, 958, 933, 206, 411, 871, 416, 330, 941, 800, 568, 85, 563, 296, 984, 572, 585, 624, 701, 822, 200, 119, 706, 556, 319, 192, 695, 13, 231, 290, 688, 53, 545, 916, 655, 167, 508, 62, 463, 219, 393, 849, 96, 341, 916, 417, 895, 979, 886, 540, 424, 935, 275, 632, 443, 158, 982, 398, 62, 963, 799, 602, 30, 478, 479, 315, 823, 897, 69, 852, 139, 35, 602, 671, 657, 744, 0, 790, 585, 128, 468, 436, 88, 385, 365, 540, 882, 342, 576, 241, 925, 228, 898, 981, 900, 925, 833, 882, 920, 49, 916, 765, 649, 580, 803, 625, 867, 713, 573, 470, 953, 400, 622, 951, 132, 981, 24, 976, 69, 734, 808, 610, 930, 872, 481, 964, 663, 470, 903, 904, 338, 149, 317, 650, 384, 533, 206, 670, 322, 521, 728, 396, 796, 89, 747, 865, 466, 500, 710, 593, 718, 408, 561, 120, 794, 98, 59, 639, 831, 485, 231, 143, 752, 515, 58, 693, 220, 700, 854, 758, 369, 609, 655, 230, 929, 793, 392, 911, 742, 431, 495, 967, 288, 268, 531, 9, 711, 897, 820, 70, 609, 770, 904, 795, 987, 986, 805, 311, 250, 670, 15, 441, 543, 88, 986, 396, 902, 880, 674, 460, 707, 199, 819, 980, 666, 924, 152, 597, 400, 194, 907, 386, 622, 301, 270, 836, 956, 840, 858, 505, 841, 194, 482, 672, 622, 436, 630, 538, 316, 662, 434, 463, 133, 216, 905, 269, 966, 406, 106, 52, 726, 716, 496, 533, 521, 442, 985, 525, 772, 244, 469, 752, 627, 59, 354, 822, 14, 176, 770, 641, 418, 771, 479, 578, 975, 212, 707, 547, 475, 204, 954, 613, 525, 387, 730, 764, 853, 187, 713, 643, 749, 21, 717, 715, 449, 837, 430, 2, 511, 467, 929, 512, 254, 987, 994, 843, 361, 748, 809, 990, 457, 809, 791, 154, 337, 560, 935, 991, 886, 723, 211, 106, 311, 265, 381, 588, 376, 129, 626, 869, 70, 57, 451, 716, 124, 759, 244, 242, 319, 982, 463, 679, 493, 611, 465, 238, 410, 220, 187, 694, 573, 165, 797, 77, 817, 768, 747, 798, 974, 407, 211, 86, 528, 449, 45, 336, 103, 971, 497, 488, 829, 867, 792, 509, 12, 783, 913, 508, 178, 814, 975, 894, 444, 948, 966, 448, 838, 741, 333, 844, 480, 196, 229, 383, 596, 22, 531, 164, 418, 249, 191, 875, 371, 232, 422, 351, 564, 773, 607, 475, 425, 844, 253, 666, 942, 853, 257, 803, 230, 274, 89, 497, 411, 479, 356, 633, 548, 468, 807, 926, 990, 899, 162, 168, 914, 237, 23, 671, 81, 692, 896, 933, 146, 678, 910, 266, 184, 108, 401, 216, 629, 243, 102, 201, 444, 871, 623, 609, 539, 477, 506, 224, 637, 239, 487, 440, 599, 16, 685, 621, 985, 295, 537, 271, 717, 607, 419, 487, 755, 885, 288, 225, 597, 659, 390, 512, 8, 953, 820, 197, 943, 751, 835, 857, 279, 378, 645, 93, 662, 90, 172, 896, 285, 314, 837, 12, 779, 825, 294, 578, 8, 953, 499, 96, 98, 480, 401, 768, 576, 509, 427, 857, 554, 388, 735, 976, 237, 490, 524, 734, 646, 266, 821, 598, 522, 111, 136, 109, 374, 243, 385, 742, 644, 191, 287, 751, 365, 640, 826, 520, 876, 420, 769, 786, 260, 167, 62, 193, 476, 17, 672, 526, 491, 118, 335, 908, 449, 662, 303, 88, 970, 439, 382, 87, 350, 633, 171, 90, 786, 136, 643, 754, 694, 317, 345, 681, 961, 48, 378, 54, 488, 136, 363, 90, 409, 68, 329, 679, 807, 272, 404, 991, 166, 237, 755, 982, 459, 938, 356, 750, 34, 227, 926, 298, 920, 460, 544, 17, 321, 619, 553, 529, 276, 597, 335, 197, 42, 430, 102, 658, 686, 38, 483, 670, 303, 130, 63, 688, 909, 529, 258, 695, 908, 651, 245, 716, 113, 109, 653, 854, 431, 0, 473, 376, 875, 448, 794, 703, 31, 550, 529, 484, 147, 892, 328, 499, 47, 929, 658, 647, 647, 120, 878, 831, 780, 564, 385, 188, 789, 560, 629, 694, 408, 381, 610, 693, 671, 595, 475, 684, 95, 605, 695, 44, 702, 480, 878, 973, 729, 840, 555, 731, 829, 489, 168, 791, 927, 451, 223, 135, 793, 514, 58, 109, 528, 765, 327, 798, 802, 621, 936, 53, 933, 383, 361}

    {38, 155, 75, 942, 967, 708, 975, 738, 323, 743, 693, 115, 974, 391, 748, 836, 255, 997, 46, 181, 283, 675, 406, 549, 367, 416, 561, 951, 234, 838, 291, 526, 341, 354, 462, 510, 185, 287, 38, 117, 757, 357, 177, 939, 317, 291, 851, 873, 78, 137, 163, 853, 250, 169, 318, 326, 574, 618, 889, 5, 549, 137, 157, 388, 195, 690, 735, 761, 269, 348, 720, 612, 469, 419, 820, 135, 943, 883, 391, 465, 846, 309, 293, 740, 160, 234, 95, 105, 260, 586, 98, 74, 906, 105, 945, 495, 372, 278, 965, 73, 870, 930, 140, 39, 628, 464, 643, 422, 494, 898, 838, 43, 39, 141, 170, 146, 40, 859, 261, 871, 770, 586, 320, 815, 481, 908, 556, 173, 681, 240, 308, 549, 48, 778, 644, 219, 42, 978, 368, 57, 206, 471, 939, 7, 579, 779, 519, 918, 476, 65, 80, 164, 5, 392, 293, 876, 375, 205, 23, 668, 842, 262, 505, 420, 207, 306, 347, 830, 766, 241, 727, 219, 518, 760, 899, 616, 992, 532, 25, 323, 329, 558, 71, 309, 458, 819, 756, 970, 943, 684, 302, 689, 523, 879, 649, 515, 84, 813, 437, 151, 711, 809, 438, 75, 54, 996, 767, 434, 153, 171, 887, 140, 471, 77, 725, 198, 919, 456, 399, 541, 740, 456, 282, 804, 909, 784, 396, 18, 213, 333, 855, 558, 415, 79, 517, 43, 516, 193, 756, 767, 685, 442, 547, 927, 350, 179, 883, 958, 278, 481, 813, 691, 417, 859, 731, 859, 630, 299, 955, 710, 811, 346, 962, 289, 334, 15, 567, 233, 107, 357, 284, 407, 302, 783, 640, 404, 581, 72, 934, 881, 917, 676, 91, 653, 344, 296, 546, 366, 734, 364, 781, 303, 422, 336, 638, 238, 121, 91, 729, 20, 617, 293, 954, 334, 429, 960, 634, 590, 955, 983, 615, 50, 1, 720, 175, 714, 588, 950, 215, 591, 843, 541, 538, 296, 235, 954, 190, 684, 502, 823, 739, 452, 900, 753, 895, 359, 793, 617, 169, 112, 719, 335, 81, 438, 22, 255, 355, 739, 472, 319, 969, 824, 151, 307, 785, 346, 300, 649, 657, 884, 198, 913, 1, 660, 409, 341, 730, 9, 87, 761, 135, 762, 371, 892, 810, 698, 737, 304, 901, 194, 971, 331, 910, 504, 187, 91, 968, 995, 898, 742, 127, 360, 366, 922, 705, 47, 124, 224, 167, 224, 247, 78, 834, 198, 423, 589, 509, 571, 856, 327, 952, 519, 860, 85, 302, 944, 312, 14, 67, 687, 305, 273, 743, 583, 316, 720, 936, 363, 788, 590, 421, 915, 324, 453, 863, 893, 56, 648, 305, 682, 364, 437, 661, 999, 339, 824, 639, 618, 582, 960, 404, 79, 536, 928, 614, 231, 217, 576, 902, 845, 27, 465, 132, 708, 753, 162, 504, 413, 311, 960, 516, 582, 32, 456, 527, 474, 189, 18, 156, 127, 134, 412, 28, 11, 370, 885, 180, 736, 152, 248, 123, 214, 415, 681, 601, 884, 252, 704, 826, 410, 503, 464, 510, 367, 79, 792, 746, 209, 312, 145, 161, 26, 397, 779, 47, 699, 195, 664, 865, 559, 648, 195, 749, 591, 10, 236, 562, 545, 905, 768, 352, 377, 705, 33, 977, 947, 104, 591, 269, 950, 599, 494, 94, 352, 181, 656, 496, 455, 683, 452, 910, 612, 134, 586, 760, 962, 75, 934, 623, 855, 139, 968, 511, 222, 495, 238, 45, 27, 240, 261, 97, 226, 301, 86, 848, 620, 804, 182, 367, 980, 767, 923, 726, 534, 22, 215, 55, 616, 253, 68, 719, 862, 82, 7, 120, 434, 310, 513, 428, 569, 41, 706, 170, 170, 983, 243, 210, 41, 320, 339, 942, 175, 251, 721, 667, 899, 527, 553, 690, 761, 674, 535, 76, 551, 110, 61, 952, 267, 228, 6, 848, 471, 821, 616, 664, 61, 468, 179, 83, 202, 312, 911, 839, 858, 832, 452, 337, 565, 461, 189, 977, 273, 624, 151, 932, 346, 912, 733, 725, 785, 131, 199, 291, 446, 782, 464, 423, 338, 477, 697, 832, 344, 474, 544, 606, 721, 501, 121, 384, 30, 611, 719, 978, 861, 141, 817, 660, 316, 472, 992, 689, 97, 284, 815, 711, 778, 906, 709, 969, 246, 579, 988, 676, 279, 940, 425, 656, 148, 696, 659, 348, 712, 95, 516, 208, 539, 843, 628, 653, 160, 155, 832, 560, 980, 454, 984, 138, 54, 366, 193, 850, 882, 290, 501, 740, 546, 331, 305, 207, 661, 263, 600, 946, 887, 756, 289, 76, 72, 82, 862, 283, 203, 567, 997, 253, 64, 998, 6, 775, 632, 614, 333, 745, 678, 239, 763, 828, 870, 306, 674, 903, 530, 617, 355, 536, 281, 458, 156, 669, 922, 259, 860, 946, 925, 687, 309, 637, 812, 252, 412, 655, 122, 656, 959, 15, 153, 274, 618, 375, 152, 360, 443, 737, 912, 433, 201, 147, 915, 315, 462, 949, 828, 383, 300, 83, 680, 581, 280, 631, 402, 744, 571, 271, 566, 784, 413, 437, 277, 384, 503, 905, 20, 669, 445, 847, 217, 325, 182, 108, 812, 402, 387, 67, 134, 453, 336, 676, 612, 378, 313, 698, 4, 753, 550, 173, 963, 5, 48, 267, 19, 77, 958, 595, 891, 828, 892, 453, 868, 403, 699, 421, 288, 458, 864, 736, 376, 510, 213, 489, 652, 634, 592, 25, 89, 398, 593, 846, 610, 148, 144, 728, 129, 419, 56, 338, 646, 26, 347, 104, 304, 280, 704, 669, 234, 901, 414, 502, 71, 432, 137, 313, 398, 686, 289, 380, 403, 890, 574, 298, 354, 594, 368, 774, 722, 340, 894, 232, 33, 82, 835, 301, 631, 405, 515, 412, 687, 233, 112, 256, 439, 397, 142, 121, 158, 263, 631, 584, 977, 724, 766, 286, 370, 57, 153, 554, 432, 163, 11, 504, 971, 144, 732, 427, 777, 28, 527, 334, 273, 445, 764, 856, 389, 507, 801, 587, 955, 84, 801, 180, 780, 664, 939, 608, 534, 594, 373, 446, 538, 848, 60, 637, 450, 696, 494, 842, 567, 214, 677, 636, 530, 247, 806, 638, 777, 863, 938, 240, 348, 255, 26, 921, 517, 323, 652, 654, 590, 149, 940, 751, 532, 246, 124, 763, 754, 4, 949, 736, 324, 657, 792, 877, 307, 555, 783, 217, 331, 344, 957, 369, 207, 498, 959, 517, 888, 361, 25, 928, 563, 984, 923, 715, 531, 352, 143, 358, 546, 110, 286, 41, 806, 37, 737, 205, 418, 764, 325, 592, 115, 205, 405, 371, 92, 50, 454, 405, 45, 638, 406, 37, 156, 887, 951, 919, 668, 60, 827, 337, 754, 223, 668, 919, 3, 907, 473, 931, 934, 845, 862, 246, 805, 815, 315, 927, 387, 786, 667, 64, 183, 49, 714, 762, 799, 482, 450, 413, 502, 877, 659, 855, 562, 606, 314, 428, 715, 778, 298, 752, 133, 784, 708, 959, 552, 426, 796, 877, 174, 123, 308, 639, 766, 551, 870, 373, 539, 257, 192, 21, 61, 881, 556, 105, 816, 241, 758, 804, 169, 534, 520, 74, 714, 698, 592, 738, 185, 518, 723, 433, 425, 795, 297, 358, 373, 183, 782, 949, 847, 251, 6, 392, 806, 893, 163, 221, 132, 675, 160, 197, 889, 990, 571, 372, 699, 172, 765, 547, 210, 620, 182, 68, 204, 345, 330, 847, 294, 826, 364, 33, 310, 937, 994, 175, 606, 818, 108, 259, 569, 994, 123, 127, 566, 74, 265, 472, 513, 394, 211, 72, 314, 996, 511, 306, 774, 203, 620, 313, 682, 801, 501, 277, 690, 126, 377, 814, 814, 727, 10, 868, 562, 817, 247, 144, 50, 332, 861, 628, 27, 907, 937, 689, 700, 840, 926, 760, 858, 518, 433, 394, 435, 451, 173, 461, 890, 816, 416, 785, 652, 989, 450, 46, 362, 375, 1, 327, 999, 485, 993, 340, 574, 964, 636, 438, 834, 14, 7, 391, 67, 183, 732, 248, 589, 2, 491, 281, 83, 414, 889, 948, 221, 705, 558, 636, 849, 330, 619, 691, 682, 932, 868, 963, 427, 824, 469, 763, 993, 454, 513, 140, 759, 181, 222, 726, 795, 179, 28, 601, 722, 256, 557, 811, 299, 781, 467, 860, 805, 635, 104, 484, 891, 3, 307, 283, 228, 393, 326, 998, 37, 845, 746, 278, 73, 145, 551, 180, 818, 235, 900, 581, 43, 680, 138, 812, 683, 442, 978, 788, 262, 225, 443, 557, 339, 424, 292, 185, 358, 507, 466, 284, 993, 210, 235, 97, 600, 660, 138, 884, 432, 965, 304, 168, 883, 190, 706, 208, 46, 107, 587, 403, 17, 261, 389, 252, 611, 996, 965, 909, 642, 503, 110, 568, 903, 944, 414, 548, 263, 532, 732, 52, 566, 402, 347, 744, 435, 917, 523, 122, 874, 983, 603, 421, 579, 796, 280, 575, 950, 262, 379, 745, 702, 256, 856, 117, 506, 213, 441, 748, 174, 492, 370, 389, 677, 997, 461, 157, 233, 565, 428, 86, 166, 78, 735, 931, 589, 777, 565, 830, 286, 608, 536, 145, 696, 106, 320, 164, 32, 435, 555, 64, 484, 946, 66, 724, 141, 678, 888, 721, 738, 603, 914, 445, 148}

    Returns: {0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1 }

  143. 1000

    {339, 193, 537, 590, 824, 848, 810, 864, 390, 381, 351, 773, 87, 469, 176, 532, 562, 244, 989, 103, 201, 789, 285, 225, 182, 172, 34, 452, 530, 980, 648, 554, 589, 406, 890, 706, 749, 961, 940, 649, 244, 210, 699, 462, 804, 791, 777, 986, 397, 552, 678, 210, 872, 197, 753, 572, 248, 490, 279, 339, 665, 203, 186, 805, 230, 701, 622, 526, 746, 269, 240, 220, 553, 981, 711, 910, 821, 208, 138, 675, 559, 937, 0, 479, 209, 503, 923, 135, 289, 341, 631, 891, 420, 241, 504, 219, 745, 653, 792, 889, 319, 313, 533, 527, 719, 229, 944, 296, 327, 907, 985, 52, 910, 712, 959, 299, 147, 646, 435, 72, 892, 31, 803, 365, 829, 735, 933, 122, 956, 536, 710, 281, 230, 107, 939, 260, 33, 309, 178, 531, 943, 256, 364, 98, 425, 630, 153, 73, 29, 838, 109, 738, 126, 548, 856, 412, 495, 315, 519, 970, 886, 77, 272, 146, 996, 915, 143, 146, 822, 685, 19, 886, 435, 786, 59, 500, 202, 120, 911, 65, 534, 265, 331, 615, 664, 8, 360, 106, 830, 292, 220, 978, 692, 916, 351, 883, 79, 279, 715, 861, 397, 894, 694, 769, 915, 847, 845, 793, 704, 600, 947, 9, 634, 170, 255, 453, 505, 802, 274, 742, 552, 786, 270, 932, 682, 995, 114, 901, 748, 448, 360, 649, 378, 323, 432, 585, 558, 303, 381, 668, 381, 91, 974, 697, 954, 536, 845, 469, 685, 285, 403, 747, 367, 846, 81, 860, 276, 256, 650, 209, 890, 893, 379, 870, 246, 338, 197, 838, 524, 249, 290, 997, 964, 110, 44, 620, 695, 580, 224, 207, 316, 14, 444, 563, 424, 128, 797, 523, 812, 596, 393, 314, 448, 900, 301, 24, 862, 902, 584, 553, 168, 322, 467, 856, 733, 385, 182, 29, 753, 305, 400, 834, 421, 219, 857, 58, 307, 375, 94, 51, 918, 147, 220, 494, 761, 210, 400, 173, 492, 514, 797, 292, 974, 301, 464, 702, 599, 889, 534, 528, 917, 989, 898, 639, 62, 903, 748, 317, 916, 738, 370, 91, 586, 615, 664, 64, 429, 509, 718, 934, 945, 437, 184, 80, 109, 707, 492, 143, 359, 158, 704, 372, 322, 138, 568, 789, 957, 432, 652, 38, 510, 90, 361, 85, 100, 449, 623, 366, 680, 834, 350, 355, 116, 943, 668, 962, 994, 651, 184, 640, 315, 413, 507, 588, 109, 392, 287, 51, 213, 651, 135, 954, 729, 325, 206, 587, 389, 851, 401, 932, 785, 240, 670, 193, 893, 849, 964, 740, 273, 417, 498, 462, 913, 330, 657, 251, 549, 366, 414, 331, 101, 203, 639, 767, 61, 40, 625, 575, 40, 952, 907, 444, 457, 115, 481, 948, 927, 985, 486, 637, 164, 263, 660, 596, 539, 96, 293, 286, 225, 852, 60, 880, 84, 461, 976, 585, 307, 466, 857, 161, 839, 690, 539, 693, 988, 281, 96, 828, 203, 342, 804, 222, 769, 191, 130, 600, 102, 514, 561, 725, 875, 299, 415, 234, 298, 515, 768, 57, 950, 595, 709, 394, 664, 390, 282, 875, 415, 400, 942, 441, 595, 226, 841, 965, 575, 260, 685, 912, 22, 794, 427, 313, 183, 620, 228, 97, 357, 433, 378, 979, 984, 72, 184, 207, 782, 290, 794, 42, 731, 254, 340, 964, 57, 349, 508, 915, 120, 452, 503, 801, 574, 874, 597, 179, 615, 799, 697, 724, 92, 852, 307, 162, 458, 16, 595, 758, 566, 411, 698, 363, 44, 229, 16, 886, 12, 167, 905, 215, 920, 680, 319, 727, 206, 473, 161, 442, 651, 42, 117, 690, 340, 950, 857, 863, 593, 459, 992, 938, 466, 231, 212, 929, 707, 112, 687, 64, 528, 539, 281, 819, 391, 241, 931, 293, 464, 619, 34, 553, 809, 430, 279, 947, 626, 136, 302, 630, 374, 970, 447, 360, 254, 926, 643, 829, 814, 365, 265, 489, 558, 9, 873, 492, 493, 121, 744, 662, 64, 997, 313, 69, 62, 502, 774, 877, 767, 508, 852, 213, 265, 106, 593, 229, 481, 294, 363, 383, 736, 209, 799, 603, 899, 462, 20, 670, 720, 830, 772, 21, 225, 477, 860, 715, 712, 913, 324, 674, 493, 935, 507, 366, 321, 290, 79, 696, 677, 863, 724, 831, 682, 606, 902, 999, 854, 811, 787, 384, 44, 356, 191, 532, 228, 300, 589, 89, 338, 999, 889, 825, 971, 389, 888, 800, 496, 495, 218, 818, 701, 392, 679, 49, 212, 927, 25, 177, 965, 260, 71, 122, 790, 367, 385, 339, 771, 232, 69, 236, 140, 84, 19, 696, 919, 648, 204, 222, 486, 949, 622, 259, 751, 560, 701, 807, 480, 51, 429, 498, 951, 73, 41, 925, 177, 690, 729, 294, 950, 371, 186, 136, 618, 650, 524, 66, 992, 628, 804, 20, 374, 737, 363, 269, 65, 845, 622, 446, 414, 211, 979, 90, 992, 432, 333, 126, 605, 613, 446, 752, 718, 856, 706, 15, 529, 502, 970, 797, 479, 459, 740, 652, 568, 332, 631, 181, 510, 322, 672, 195, 725, 302, 429, 159, 154, 508, 306, 899, 742, 863, 667, 163, 533, 143, 828, 680, 778, 688, 898, 36, 267, 194, 359, 421, 652, 658, 679, 504, 478, 510, 97, 206, 755, 172, 904, 384, 289, 618, 920, 893, 568, 634, 949, 813, 803, 361, 96, 159, 477, 929, 974, 926, 993, 497, 115, 483, 819, 387, 880, 236, 469, 910, 435, 253, 979, 461, 490, 770, 562, 211, 112, 408, 48, 324, 410, 385, 97, 794, 977, 341, 191, 977, 795, 423, 494, 826, 555, 535, 19, 617, 571, 798, 920, 228, 713, 6, 634, 37, 937, 935, 204, 114, 646, 63, 224, 731, 796, 564, 684, 592, 654, 692, 375, 71, 994, 864, 965, 921, 93, 687, 159, 890, 310, 636, 987, 788, 147, 358, 506, 559, 416, 841, 846, 556, 317, 477, 976, 442, 80, 316, 196, 91, 128, 891, 286, 81, 953, 37, 560, 30, 446, 774, 678, 723, 606, 729, 753, 773, 720, 942, 445, 580, 219, 463, 988, 520, 765, 416, 192, 838, 164, 256, 630, 21, 818, 346, 284, 182, 948, 111, 918, 242, 34, 616, 0, 344, 36, 628, 214, 958, 609, 133, 800, 215, 320, 706, 257, 746, 686, 75, 811, 612, 602, 739, 967, 550, 683, 239, 362, 758, 102, 760, 653, 759, 361, 899, 489, 387, 253, 164, 592, 526, 705, 328, 997, 742, 407, 811, 431, 297, 901, 601, 134, 628, 554, 422, 204, 181, 14, 892, 602, 140, 733, 132, 437, 154, 872, 654, 938, 296, 749, 514, 117, 22, 52, 678, 810, 259, 614, 739, 924, 73, 85, 672, 4, 563, 298, 255, 196, 813, 348, 777, 918, 823, 98, 208, 546, 328, 332, 9, 787, 874, 606, 427, 476, 518, 269, 161, 533, 509, 745, 617, 168, 259, 249, 929, 170, 727, 839, 560, 865, 475, 427, 667, 967, 382, 853, 226, 949, 503, 850, 335, 558, 231, 744, 355, 552, 440, 357, 801, 489, 428, 445, 930, 497, 406, 943, 267, 757, 632, 621, 825, 478, 208, 938, 294, 475, 980, 121, 761, 454, 335, 990, 293, 611, 639, 120, 11, 416, 795, 139, 194, 471, 681, 348, 648, 133, 299, 21, 465, 582, 817, 713, 263, 827, 186, 415, 688, 846, 790, 574, 75, 181, 971, 309, 967, 488, 0, 601, 990, 179, 772, 440, 436, 600, 828, 728, 495, 861, 431, 736, 574, 901, 390, 153, 776, 28, 813, 650, 981, 699, 79, 954, 101, 535, 10, 908, 575, 238, 805, 546, 958, 214, 713, 309, 270, 487, 679, 493, 142, 571, 816, 172, 33, 755, 564, 627, 183, 98, 74, 413, 216, 994, 518, 473, 924, 133, 532, 873, 271, 788, 212, 264, 707, 709, 812, 895, 596, 728, 403, 580, 736, 323, 796, 283, 340, 3, 667, 92, 431, 433, 755, 295, 585, 738, 372, 356, 321, 773, 465, 885, 46, 173, 750, 135, 528, 912, 190, 587, 911, 772, 325, 57, 303, 68, 531, 571, 93, 913, 274, 376, 156, 718, 911, 84, 737, 877, 723, 712, 285, 829, 25, 564, 291, 136, 375, 814, 776, 46, 62, 805, 246, 449, 808, 38, 188, 982, 461, 563, 355, 473, 115, 599, 796, 576, 854, 583, 605, 803, 68, 498, 891, 32, 354, 298, 592, 406, 862, 739, 822, 825, 939, 100, 476, 263, 425, 61, 905, 776, 562, 895, 423, 59, 724, 247, 870, 306, 548, 424, 536, 907, 233, 346, 649, 11, 118, 951, 937, 826, 834, 885, 860, 452, 682, 10, 196, 33, 428, 790, 257, 837, 966, 254, 222, 140, 346, 183, 436, 740, 395, 43, 308, 174, 982, 597, 935, 125, 861, 101, 660, 715, 859, 40, 939, 258, 288, 395, 409, 559, 114, 554, 348, 392, 232, 699, 236, 505, 45, 668, 60, 483, 297, 242, 757, 389, 588, 407, 383, 698, 356, 576, 383, 688, 759, 522, 329, 414, 663, 194, 455, 854, 870, 728, 807, 100, 393, 471, 240, 720, 335, 93, 864, 887, 334, 995, 546, 192, 765, 49, 896, 944, 185, 38, 241}

    {476, 847, 955, 775, 227, 629, 457, 342, 185, 158, 155, 694, 741, 139, 671, 914, 675, 82, 520, 250, 858, 666, 75, 844, 902, 271, 543, 518, 17, 439, 885, 248, 705, 603, 830, 896, 8, 569, 150, 395, 674, 589, 791, 166, 917, 642, 658, 871, 78, 645, 959, 705, 410, 579, 55, 936, 491, 610, 732, 412, 579, 244, 727, 262, 487, 460, 61, 853, 754, 352, 565, 966, 941, 88, 345, 459, 832, 501, 30, 604, 278, 127, 377, 223, 142, 27, 343, 578, 831, 271, 394, 66, 565, 621, 833, 2, 43, 884, 591, 12, 946, 332, 873, 641, 906, 24, 583, 808, 180, 703, 160, 900, 200, 643, 368, 417, 393, 594, 369, 703, 572, 866, 470, 353, 128, 517, 151, 549, 27, 11, 450, 447, 656, 175, 486, 812, 480, 483, 633, 763, 500, 763, 404, 267, 914, 336, 835, 35, 2, 496, 141, 777, 470, 671, 572, 396, 969, 683, 474, 978, 479, 969, 336, 17, 855, 386, 405, 530, 247, 749, 654, 223, 43, 458, 345, 754, 217, 962, 303, 783, 95, 137, 722, 663, 666, 647, 646, 284, 806, 434, 876, 472, 888, 633, 110, 756, 20, 63, 928, 102, 523, 882, 83, 280, 505, 784, 769, 123, 675, 451, 662, 786, 541, 463, 245, 638, 386, 86, 282, 397, 549, 243, 904, 484, 542, 417, 826, 710, 116, 55, 594, 550, 108, 693, 882, 36, 430, 778, 23, 149, 602, 230, 168, 627, 545, 551, 130, 535, 647, 234, 945, 127, 840, 119, 702, 163, 166, 531, 982, 317, 806, 134, 721, 887, 844, 201, 665, 318, 537, 472, 297, 387, 157, 155, 426, 32, 708, 28, 543, 167, 878, 963, 456, 475, 968, 752, 455, 78, 764, 881, 511, 700, 921, 144, 636, 716, 134, 268, 779, 305, 401, 867, 909, 936, 352, 174, 268, 350, 921, 941, 607, 433, 716, 350, 324, 542, 989, 437, 551, 624, 218, 511, 428, 673, 118, 676, 371, 824, 955, 46, 485, 74, 5, 278, 726, 187, 984, 723, 409, 808, 835, 169, 45, 202, 990, 766, 399, 142, 178, 658, 655, 656, 635, 946, 789, 576, 916, 815, 424, 973, 7, 635, 129, 41, 226, 548, 524, 898, 719, 23, 604, 643, 253, 157, 59, 3, 438, 894, 207, 242, 247, 205, 308, 248, 605, 258, 879, 457, 824, 233, 2, 438, 399, 754, 32, 88, 197, 238, 795, 148, 836, 743, 735, 217, 291, 948, 833, 757, 542, 456, 819, 617, 683, 13, 374, 960, 337, 521, 5, 817, 470, 420, 252, 784, 544, 722, 138, 195, 160, 99, 231, 112, 631, 624, 266, 869, 645, 513, 692, 849, 766, 82, 217, 235, 640, 198, 843, 1, 132, 113, 15, 238, 513, 841, 318, 87, 127, 273, 327, 610, 484, 672, 275, 619, 770, 41, 597, 529, 246, 105, 77, 557, 774, 874, 337, 996, 520, 941, 691, 900, 821, 931, 744, 76, 371, 573, 80, 304, 674, 960, 835, 323, 130, 681, 280, 526, 251, 151, 304, 66, 569, 995, 839, 124, 14, 67, 581, 160, 388, 454, 629, 975, 3, 497, 501, 961, 821, 988, 304, 419, 16, 291, 655, 912, 449, 89, 8, 288, 555, 283, 53, 188, 311, 149, 316, 880, 613, 644, 430, 800, 377, 15, 329, 991, 380, 567, 232, 573, 485, 292, 833, 30, 273, 443, 310, 609, 981, 934, 958, 519, 906, 175, 809, 721, 319, 894, 50, 831, 358, 947, 169, 963, 243, 781, 781, 896, 928, 820, 541, 872, 295, 421, 454, 391, 689, 991, 189, 70, 152, 227, 663, 638, 216, 507, 144, 851, 444, 447, 438, 980, 504, 761, 612, 312, 111, 200, 252, 700, 305, 26, 961, 977, 176, 166, 619, 347, 296, 145, 42, 837, 223, 205, 439, 809, 333, 881, 506, 466, 659, 108, 696, 105, 398, 527, 311, 328, 216, 472, 573, 816, 434, 556, 47, 752, 793, 887, 583, 463, 378, 243, 820, 537, 333, 426, 770, 105, 6, 349, 570, 986, 4, 53, 842, 199, 480, 516, 662, 58, 944, 312, 482, 716, 496, 440, 410, 468, 540, 418, 882, 131, 814, 276, 802, 125, 351, 300, 379, 512, 930, 945, 255, 154, 372, 394, 691, 82, 464, 275, 517, 810, 798, 771, 86, 63, 815, 284, 717, 717, 58, 419, 354, 218, 68, 904, 565, 419, 121, 399, 877, 925, 488, 806, 676, 764, 858, 714, 689, 756, 250, 976, 669, 843, 318, 60, 714, 632, 555, 741, 581, 262, 569, 747, 710, 766, 983, 764, 310, 645, 286, 987, 661, 396, 567, 598, 871, 69, 519, 842, 623, 732, 468, 590, 905, 693, 180, 759, 148, 584, 734, 848, 22, 382, 235, 330, 178, 859, 883, 357, 868, 914, 903, 439, 315, 113, 118, 607, 453, 641, 959, 67, 955, 171, 670, 193, 153, 86, 18, 198, 547, 865, 308, 280, 640, 601, 888, 174, 843, 621, 125, 799, 726, 785, 538, 35, 626, 608, 760, 892, 758, 703, 525, 823, 249, 731, 391, 953, 13, 167, 345, 570, 975, 534, 326, 48, 972, 13, 171, 156, 633, 677, 928, 71, 221, 793, 78, 106, 103, 245, 411, 45, 942, 173, 277, 840, 405, 855, 866, 442, 906, 24, 991, 922, 214, 287, 591, 822, 993, 18, 998, 341, 730, 441, 717, 368, 436, 862, 711, 698, 577, 331, 126, 783, 868, 509, 403, 266, 401, 998, 557, 185, 370, 343, 578, 443, 993, 986, 780, 953, 745, 867, 625, 107, 637, 145, 604, 661, 276, 884, 867, 612, 547, 211, 557, 598, 657, 165, 199, 266, 329, 694, 684, 909, 460, 139, 879, 320, 591, 119, 362, 878, 264, 347, 190, 261, 927, 686, 189, 909, 816, 732, 506, 455, 413, 382, 673, 627, 879, 669, 586, 516, 579, 960, 288, 55, 530, 881, 815, 300, 516, 278, 840, 897, 616, 39, 543, 636, 187, 370, 321, 998, 418, 7, 344, 521, 868, 488, 708, 487, 608, 171, 525, 187, 200, 264, 709, 157, 398, 522, 368, 12, 384, 836, 448, 423, 155, 561, 131, 499, 29, 762, 607, 169, 468, 81, 779, 481, 817, 376, 272, 818, 512, 201, 312, 354, 741, 482, 999, 782, 224, 511, 984, 337, 996, 784, 768, 956, 386, 92, 625, 582, 545, 373, 334, 500, 275, 124, 730, 691, 158, 788, 593, 104, 836, 262, 152, 373, 869, 968, 408, 577, 65, 123, 170, 349, 48, 932, 697, 451, 676, 272, 443, 523, 700, 270, 940, 771, 25, 626, 544, 847, 85, 221, 908, 409, 162, 936, 23, 801, 865, 198, 586, 566, 547, 623, 407, 237, 647, 933, 957, 460, 144, 618, 513, 779, 743, 897, 150, 613, 491, 850, 402, 751, 162, 163, 695, 849, 684, 922, 714, 53, 31, 282, 70, 336, 188, 458, 420, 107, 441, 502, 396, 973, 733, 52, 820, 677, 369, 545, 5, 192, 978, 657, 762, 453, 832, 629, 352, 734, 823, 971, 111, 56, 451, 141, 611, 956, 972, 422, 108, 859, 145, 117, 122, 113, 35, 474, 762, 876, 603, 844, 54, 445, 746, 31, 624, 512, 205, 883, 792, 274, 314, 952, 751, 931, 295, 388, 781, 306, 4, 659, 577, 588, 88, 94, 702, 129, 780, 851, 499, 199, 673, 775, 39, 99, 632, 527, 70, 484, 261, 850, 538, 638, 832, 987, 798, 525, 359, 234, 95, 103, 923, 482, 878, 599, 398, 402, 379, 179, 952, 362, 853, 561, 408, 77, 869, 150, 257, 719, 450, 54, 917, 610, 499, 722, 515, 962, 10, 802, 320, 903, 780, 791, 189, 258, 456, 49, 215, 27, 581, 37, 343, 730, 656, 768, 726, 418, 792, 594, 165, 767, 556, 807, 50, 156, 866, 434, 614, 18, 665, 934, 735, 940, 358, 425, 411, 165, 750, 875, 261, 671, 848, 89, 708, 687, 884, 7, 471, 334, 76, 614, 598, 287, 666, 250, 39, 924, 233, 926, 426, 855, 922, 47, 116, 119, 83, 641, 590, 151, 227, 897, 837, 237, 983, 541, 342, 778, 721, 195, 985, 277, 364, 376, 478, 146, 975, 501, 763, 311, 968, 277, 522, 132, 681, 689, 47, 124, 608, 450, 56, 141, 465, 635, 123, 490, 933, 402, 239, 930, 1, 237, 782, 570, 515, 175, 734, 957, 517, 655, 377, 743, 347, 364, 137, 827, 785, 404, 26, 725, 149, 268, 963, 50, 131, 544, 750, 326, 951, 180, 538, 412, 972, 925, 148, 908, 637, 704, 695, 83, 711, 289, 326, 365, 422, 176, 760, 94, 72, 644, 858, 104, 551, 388, 756, 747, 467, 644, 775, 245, 973, 213, 642, 895, 235, 966, 529, 540, 578, 876, 74, 76, 474, 338, 302, 152, 325, 550, 369, 783, 661, 67, 659, 660, 252, 251, 177, 686, 566, 26, 737, 327, 1, 983, 104, 95, 301, 467, 491, 494, 87, 283, 642, 871, 609, 405, 620, 969, 923, 567, 380, 330, 344, 202, 314, 919, 190, 748, 6, 765, 367, 611, 842, 129, 669, 946, 521, 485, 404, 353, 653, 56, 827, 616, 28, 787, 110, 221, 17, 587, 353, 540, 99, 582, 584, 919, 239, 373, 137, 54, 380, 90}

    Returns: {0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0 }

  144. 1000

    {896, 585, 85, 671, 282, 575, 763, 604, 972, 998, 845, 293, 759, 847, 876, 498, 685, 4, 444, 794, 954, 864, 862, 586, 754, 426, 989, 658, 253, 831, 777, 813, 761, 540, 65, 746, 756, 264, 471, 395, 823, 501, 608, 354, 915, 150, 714, 731, 815, 375, 165, 513, 114, 236, 590, 396, 412, 530, 330, 411, 874, 782, 505, 493, 609, 731, 786, 778, 686, 760, 11, 980, 762, 616, 477, 962, 87, 989, 426, 128, 877, 56, 449, 672, 336, 16, 835, 78, 989, 984, 201, 251, 681, 808, 612, 525, 139, 104, 767, 755, 651, 618, 265, 784, 673, 321, 870, 524, 907, 529, 768, 790, 605, 600, 872, 608, 887, 435, 776, 529, 271, 25, 898, 639, 109, 913, 123, 538, 490, 37, 63, 579, 186, 574, 632, 302, 887, 379, 427, 475, 950, 993, 805, 98, 396, 694, 548, 749, 725, 412, 902, 386, 736, 329, 163, 300, 802, 551, 442, 223, 421, 75, 490, 633, 804, 270, 456, 665, 679, 247, 599, 577, 59, 929, 152, 319, 909, 412, 754, 431, 481, 854, 774, 873, 578, 605, 128, 196, 542, 639, 574, 450, 103, 838, 693, 602, 213, 86, 770, 473, 424, 955, 455, 162, 602, 45, 758, 142, 394, 357, 735, 177, 607, 33, 12, 282, 950, 52, 247, 113, 764, 843, 139, 691, 62, 671, 804, 132, 291, 723, 184, 961, 503, 130, 80, 819, 324, 3, 957, 108, 750, 104, 760, 964, 918, 927, 607, 315, 329, 8, 875, 792, 847, 954, 8, 434, 780, 881, 317, 796, 580, 696, 992, 450, 992, 403, 798, 791, 200, 80, 645, 680, 703, 200, 182, 131, 254, 826, 720, 357, 310, 721, 112, 364, 880, 622, 221, 817, 933, 754, 931, 240, 643, 152, 29, 46, 778, 314, 456, 777, 145, 294, 623, 383, 156, 182, 849, 117, 807, 506, 798, 378, 460, 787, 833, 35, 983, 408, 256, 775, 123, 897, 681, 812, 557, 425, 599, 796, 13, 703, 9, 60, 78, 72, 184, 967, 855, 312, 546, 502, 886, 408, 877, 957, 728, 174, 77, 911, 855, 889, 513, 227, 339, 354, 652, 119, 963, 311, 366, 581, 468, 92, 216, 174, 348, 551, 43, 283, 211, 972, 889, 890, 975, 336, 98, 470, 314, 221, 96, 168, 861, 801, 103, 508, 578, 716, 543, 876, 624, 294, 153, 487, 102, 528, 615, 178, 569, 324, 880, 934, 383, 64, 78, 71, 843, 31, 561, 635, 913, 199, 903, 621, 318, 873, 410, 375, 794, 380, 122, 403, 474, 222, 979, 717, 109, 192, 571, 83, 538, 38, 115, 637, 898, 500, 890, 732, 958, 882, 83, 57, 866, 882, 124, 481, 193, 737, 787, 519, 965, 23, 639, 142, 163, 1, 482, 477, 927, 572, 363, 12, 118, 300, 594, 913, 16, 953, 643, 666, 663, 473, 465, 111, 915, 180, 831, 358, 653, 440, 512, 364, 169, 273, 501, 457, 345, 903, 434, 762, 509, 218, 407, 987, 133, 942, 845, 742, 441, 112, 458, 124, 459, 366, 59, 388, 117, 367, 69, 985, 773, 419, 692, 382, 54, 0, 610, 487, 260, 425, 637, 571, 756, 39, 97, 656, 77, 176, 493, 3, 903, 344, 50, 554, 697, 328, 61, 879, 922, 565, 906, 473, 784, 486, 463, 355, 344, 392, 153, 574, 861, 995, 413, 701, 931, 53, 496, 701, 712, 940, 259, 586, 393, 155, 165, 997, 220, 188, 555, 533, 659, 527, 484, 999, 641, 958, 476, 857, 12, 929, 30, 963, 916, 572, 562, 409, 990, 449, 169, 322, 670, 592, 378, 7, 356, 3, 502, 326, 504, 852, 631, 827, 389, 86, 866, 460, 529, 510, 374, 391, 879, 354, 545, 534, 207, 470, 128, 99, 712, 75, 823, 92, 391, 313, 889, 765, 891, 548, 186, 622, 909, 113, 485, 11, 164, 512, 672, 523, 11, 523, 123, 895, 430, 583, 953, 928, 484, 32, 22, 410, 367, 901, 310, 835, 274, 87, 176, 449, 911, 876, 640, 851, 633, 778, 37, 484, 435, 564, 417, 646, 90, 648, 268, 497, 381, 390, 98, 304, 363, 801, 341, 593, 91, 590, 174, 674, 803, 766, 533, 433, 783, 858, 32, 780, 38, 289, 956, 214, 446, 5, 487, 647, 284, 31, 946, 303, 211, 971, 528, 728, 326, 10, 196, 763, 41, 288, 516, 707, 999, 849, 594, 227, 566, 696, 302, 326, 204, 828, 378, 227, 431, 256, 202, 975, 825, 865, 49, 318, 602, 229, 175, 982, 588, 461, 414, 519, 250, 635, 734, 793, 348, 62, 505, 739, 242, 462, 80, 502, 432, 296, 483, 962, 701, 253, 195, 873, 124, 729, 232, 996, 246, 595, 774, 759, 193, 943, 89, 203, 752, 924, 879, 540, 896, 748, 890, 300, 526, 119, 122, 854, 713, 513, 815, 892, 355, 609, 957, 71, 662, 516, 694, 263, 257, 271, 283, 259, 324, 597, 892, 622, 352, 522, 455, 151, 182, 691, 478, 358, 347, 341, 611, 221, 946, 680, 880, 391, 906, 553, 165, 819, 203, 349, 747, 902, 710, 467, 966, 33, 982, 855, 50, 44, 118, 852, 627, 476, 580, 681, 518, 689, 415, 802, 993, 725, 790, 981, 467, 641, 307, 755, 496, 975, 43, 322, 752, 257, 523, 17, 254, 665, 164, 894, 597, 198, 16, 420, 651, 44, 747, 65, 662, 206, 446, 426, 504, 685, 611, 409, 13, 252, 349, 367, 347, 444, 411, 53, 604, 294, 567, 633, 761, 252, 666, 767, 162, 672, 214, 983, 954, 69, 766, 593, 217, 464, 518, 372, 821, 143, 699, 571, 693, 615, 143, 143, 43, 290, 45, 420, 985, 70, 872, 932, 915, 977, 814, 953, 524, 415, 299, 970, 489, 868, 637, 895, 316, 225, 779, 640, 48, 675, 321, 450, 693, 228, 619, 940, 663, 335, 376, 246, 546, 608, 21, 370, 317, 729, 346, 645, 447, 979, 646, 461, 999, 419, 747, 507, 83, 427, 338, 432, 722, 806, 379, 363, 824, 982, 150, 814, 649, 211, 526, 798, 96, 924, 650, 650, 91, 372, 519, 649, 39, 522, 562, 755, 589, 88, 605, 0, 716, 101, 768, 718, 818, 457, 141, 694, 631, 260, 699, 741, 738, 850, 304, 207, 626, 804, 916, 469, 330, 503, 959, 924, 238, 711, 46, 275, 818, 59, 424, 646, 355, 215, 506, 612, 248, 535, 459, 783, 899, 696, 806, 774, 164, 843, 666, 172, 241, 983, 942, 210, 869, 390, 351, 24, 984, 503, 909, 226, 321, 542, 432, 566, 791, 457, 390, 249, 541, 192, 931, 185, 790, 562, 959, 402, 579, 148, 553, 721, 657, 700, 735, 260, 369, 114, 144, 46, 171, 967, 969, 346, 723, 467, 122, 6, 253, 868, 979, 315, 861, 368, 689, 675, 806, 7, 977, 552, 75, 419, 313, 753, 8, 228, 929, 546, 897, 138, 807, 192, 490, 579, 226, 304, 202, 33, 809, 190, 870, 485, 361, 173, 70, 263, 155, 852, 271, 258, 45, 661, 916, 197, 591, 581, 337, 537, 200, 689, 918, 522, 241, 299, 97, 839, 1, 527, 184, 1, 30, 141, 153, 644, 96, 187, 276, 524, 29, 750, 932, 652, 675, 752, 132, 961, 835, 825, 552, 809, 61, 394, 932, 101, 607, 290, 514, 28, 813, 577, 320, 350, 282, 9, 462, 568, 836, 934, 536, 888, 635, 230, 824, 898, 735, 62, 107, 13, 65, 974, 498, 5, 809, 127, 264, 234, 328, 383, 497, 148, 389, 908, 657, 800, 923, 477, 336, 444, 779, 739, 109, 794, 431, 827, 512, 969, 246, 299, 810, 216, 615, 359, 288, 102, 345, 654, 201, 588, 992, 434, 389, 70, 31, 107, 209, 266, 870, 748, 60, 874, 542, 527, 553, 361, 935, 732, 919, 544, 396, 631, 102, 433, 642, 980, 581, 594, 140, 219, 155, 786, 826, 331, 352, 659, 603, 424, 680, 423, 17, 762, 140, 687, 10, 508, 535, 854, 858, 177, 927, 463, 558, 847, 458, 166, 517, 569, 536, 37, 853, 272, 130, 288, 291, 882, 150, 934, 753, 763, 72, 156, 168, 575, 984, 435, 387, 583, 970, 482, 307, 350, 127, 528, 193, 17, 812, 875, 151, 648, 52, 587, 886, 714, 339, 767, 745, 313, 991, 297, 933, 114, 922, 230, 727, 141, 595, 66, 813, 596, 328, 993, 203, 329, 577, 568, 618, 117, 998, 205, 704, 857, 995, 549, 782, 97, 197, 737, 742, 250, 72, 295, 786, 352, 7, 515, 756, 716, 951, 802, 732, 144, 349, 659, 538, 262, 212, 185, 704, 868, 555, 101, 612, 106, 896, 166, 895, 453, 162, 904, 569, 462, 92, 277, 166, 317, 839, 207, 586, 849, 104, 351, 425, 379, 966, 549, 641, 758, 727, 446, 807, 997, 596, 181, 564, 830, 818, 218, 547, 368, 9, 269, 981, 878, 960, 564, 550, 297, 800, 291, 570, 140, 179, 198, 0, 217, 219, 713, 257, 256, 956, 454, 815, 973, 604, 381, 466, 801, 375, 526, 874, 185, 77, 669, 475, 692, 315, 841, 965, 231, 951, 30, 959, 212, 215, 374, 549, 684, 980, 543, 270, 204, 518, 543, 599, 4, 942, 707}

    {61, 149, 404, 332, 787, 537, 939, 996, 785, 395, 514, 18, 108, 381, 517, 883, 565, 592, 345, 886, 715, 988, 385, 108, 908, 4, 183, 100, 393, 865, 25, 894, 863, 996, 230, 678, 705, 799, 452, 628, 771, 656, 606, 89, 395, 734, 741, 644, 422, 663, 327, 638, 768, 949, 667, 712, 144, 306, 377, 445, 445, 724, 960, 971, 465, 279, 351, 945, 573, 688, 846, 988, 175, 67, 940, 206, 941, 295, 105, 499, 272, 757, 964, 609, 472, 331, 748, 421, 819, 51, 740, 429, 987, 491, 232, 233, 187, 360, 507, 986, 48, 129, 698, 682, 772, 588, 536, 20, 614, 297, 495, 461, 335, 267, 453, 723, 878, 456, 416, 244, 823, 944, 168, 220, 634, 170, 981, 575, 452, 346, 939, 966, 532, 949, 719, 443, 947, 66, 788, 94, 47, 338, 968, 960, 559, 218, 224, 532, 136, 810, 550, 42, 936, 883, 634, 139, 55, 417, 76, 844, 121, 838, 471, 974, 947, 229, 181, 720, 27, 661, 306, 215, 481, 655, 894, 859, 884, 834, 827, 554, 930, 504, 319, 342, 619, 811, 872, 991, 506, 255, 729, 510, 121, 285, 958, 406, 261, 817, 125, 330, 5, 560, 125, 443, 720, 719, 267, 223, 830, 625, 224, 654, 15, 147, 933, 249, 248, 848, 842, 436, 860, 347, 917, 441, 485, 356, 887, 816, 362, 205, 976, 486, 850, 669, 353, 295, 848, 967, 438, 400, 442, 414, 974, 900, 709, 388, 973, 509, 567, 679, 305, 438, 968, 828, 27, 231, 27, 19, 186, 266, 365, 500, 2, 556, 551, 808, 287, 6, 611, 713, 269, 691, 885, 781, 800, 445, 539, 188, 406, 891, 154, 734, 334, 921, 116, 566, 775, 342, 312, 158, 146, 34, 717, 598, 149, 576, 651, 988, 281, 944, 837, 831, 978, 497, 15, 210, 483, 702, 710, 235, 138, 709, 405, 952, 194, 157, 149, 384, 372, 682, 423, 386, 470, 265, 930, 911, 530, 398, 928, 179, 948, 629, 103, 468, 273, 647, 455, 521, 38, 539, 373, 242, 769, 792, 616, 213, 47, 26, 125, 303, 296, 305, 702, 704, 994, 746, 261, 667, 990, 560, 893, 469, 292, 963, 126, 2, 107, 893, 891, 430, 323, 416, 534, 501, 428, 938, 864, 682, 533, 190, 919, 613, 421, 510, 208, 84, 858, 922, 116, 664, 466, 382, 667, 906, 642, 377, 464, 570, 228, 427, 905, 120, 121, 488, 325, 751, 912, 779, 654, 937, 266, 82, 978, 86, 719, 234, 373, 14, 991, 491, 147, 884, 589, 926, 163, 799, 23, 845, 537, 829, 495, 364, 190, 708, 259, 645, 937, 765, 730, 655, 558, 298, 369, 557, 836, 369, 249, 216, 655, 437, 496, 844, 41, 997, 677, 134, 322, 81, 252, 521, 232, 917, 67, 177, 582, 91, 926, 772, 234, 178, 920, 68, 998, 740, 664, 22, 244, 137, 454, 407, 722, 976, 472, 711, 238, 796, 286, 81, 167, 308, 921, 938, 353, 129, 730, 620, 439, 904, 715, 161, 838, 705, 930, 668, 447, 267, 764, 454, 709, 674, 137, 511, 245, 265, 539, 511, 380, 258, 407, 648, 990, 697, 630, 472, 950, 464, 576, 647, 398, 360, 147, 871, 362, 251, 85, 333, 563, 146, 64, 377, 775, 84, 500, 661, 414, 134, 580, 236, 204, 284, 630, 130, 565, 509, 220, 669, 559, 392, 776, 759, 941, 10, 370, 82, 255, 494, 726, 867, 136, 420, 742, 263, 822, 199, 54, 471, 312, 965, 245, 213, 318, 175, 722, 222, 705, 969, 191, 388, 788, 105, 773, 897, 332, 280, 610, 862, 793, 591, 520, 158, 761, 342, 418, 642, 653, 556, 306, 408, 290, 910, 620, 706, 475, 987, 453, 74, 90, 459, 195, 652, 384, 740, 946, 298, 625, 888, 749, 34, 222, 483, 100, 262, 137, 985, 465, 194, 650, 597, 492, 791, 785, 327, 525, 724, 620, 744, 159, 632, 758, 863, 626, 912, 93, 393, 690, 900, 258, 563, 547, 95, 688, 48, 936, 545, 281, 764, 2, 785, 559, 23, 443, 905, 805, 358, 505, 643, 293, 587, 277, 907, 233, 311, 261, 744, 40, 422, 172, 534, 331, 145, 674, 679, 320, 333, 684, 413, 226, 56, 657, 280, 301, 935, 303, 323, 625, 576, 64, 67, 970, 343, 58, 63, 634, 743, 338, 189, 40, 113, 616, 276, 240, 708, 268, 385, 919, 715, 918, 875, 739, 914, 298, 433, 859, 664, 235, 623, 665, 55, 81, 198, 95, 309, 360, 292, 286, 237, 243, 451, 850, 100, 428, 554, 384, 627, 133, 254, 73, 638, 436, 743, 695, 87, 771, 817, 737, 949, 531, 135, 777, 613, 825, 400, 726, 79, 910, 797, 923, 877, 289, 135, 404, 561, 776, 187, 644, 678, 58, 451, 133, 824, 106, 789, 247, 920, 596, 171, 376, 371, 821, 40, 482, 771, 468, 416, 52, 833, 923, 240, 826, 179, 770, 700, 832, 439, 905, 159, 325, 660, 718, 784, 323, 439, 624, 242, 120, 197, 583, 183, 662, 951, 649, 20, 401, 995, 93, 50, 19, 770, 474, 479, 531, 132, 683, 245, 466, 938, 626, 142, 507, 270, 371, 603, 402, 492, 284, 275, 711, 853, 255, 706, 24, 668, 892, 677, 833, 442, 610, 406, 692, 598, 194, 881, 783, 899, 945, 28, 687, 489, 797, 743, 157, 592, 451, 146, 781, 884, 724, 293, 541, 600, 745, 399, 131, 167, 540, 865, 883, 760, 901, 18, 212, 415, 268, 920, 630, 585, 458, 860, 106, 614, 935, 690, 154, 337, 308, 714, 359, 437, 199, 460, 820, 741, 840, 289, 410, 795, 676, 558, 499, 334, 628, 943, 955, 233, 550, 448, 479, 385, 239, 74, 921, 340, 343, 480, 237, 948, 945, 208, 851, 508, 937, 624, 208, 134, 110, 811, 797, 25, 320, 205, 129, 327, 532, 236, 936, 925, 702, 727, 972, 402, 803, 744, 636, 448, 514, 670, 371, 684, 191, 746, 189, 18, 296, 881, 721, 560, 636, 357, 731, 219, 172, 272, 846, 262, 525, 914, 515, 687, 362, 885, 191, 350, 278, 94, 839, 812, 486, 977, 115, 781, 111, 584, 403, 308, 700, 148, 51, 820, 601, 126, 717, 94, 154, 878, 623, 994, 178, 348, 397, 769, 399, 584, 493, 822, 552, 557, 56, 430, 842, 225, 49, 118, 47, 939, 285, 582, 795, 463, 119, 859, 440, 745, 673, 867, 976, 29, 21, 832, 373, 22, 738, 840, 359, 126, 409, 157, 95, 49, 956, 34, 340, 307, 159, 952, 856, 544, 685, 629, 309, 169, 394, 309, 93, 380, 841, 243, 511, 520, 888, 14, 161, 495, 810, 971, 488, 280, 964, 736, 606, 301, 196, 340, 941, 361, 278, 167, 160, 710, 223, 578, 678, 386, 79, 111, 285, 32, 180, 683, 780, 116, 57, 829, 42, 287, 401, 264, 857, 274, 35, 926, 765, 474, 593, 733, 686, 658, 74, 629, 418, 803, 316, 816, 195, 26, 632, 842, 978, 617, 816, 955, 914, 36, 718, 844, 773, 703, 273, 28, 214, 335, 621, 795, 241, 82, 476, 808, 365, 279, 867, 917, 305, 902, 585, 76, 904, 469, 619, 789, 591, 84, 561, 319, 68, 614, 404, 397, 112, 79, 156, 333, 730, 479, 152, 480, 829, 853, 952, 640, 683, 275, 726, 670, 573, 224, 387, 239, 638, 733, 548, 658, 840, 782, 239, 688, 567, 757, 907, 429, 544, 110, 127, 478, 478, 14, 863, 158, 382, 832, 789, 392, 656, 238, 387, 871, 41, 869, 871, 908, 676, 900, 944, 44, 834, 515, 405, 51, 962, 590, 399, 170, 180, 851, 417, 250, 901, 866, 217, 24, 677, 398, 573, 912, 173, 411, 235, 899, 617, 99, 751, 269, 160, 799, 90, 151, 311, 706, 405, 864, 814, 728, 488, 138, 343, 601, 494, 582, 188, 725, 136, 757, 441, 492, 750, 572, 171, 636, 316, 556, 63, 793, 837, 170, 668, 708, 418, 805, 828, 660, 563, 690, 686, 736, 986, 769, 695, 206, 697, 202, 243, 788, 627, 535, 893, 973, 733, 36, 699, 181, 237, 370, 862, 209, 584, 986, 251, 120, 555, 76, 698, 276, 520, 437, 570, 613, 869, 820, 447, 448, 325, 201, 58, 653, 521, 115, 517, 489, 278, 491, 587, 189, 598, 438, 429, 516, 376, 498, 225, 822, 21, 339, 628, 606, 910, 452, 301, 671, 928, 413, 841, 161, 545, 231, 283, 183, 738, 494, 42, 292, 366, 961, 856, 229, 925, 834, 856, 603, 36, 846, 673, 60, 89, 99, 836, 943, 531, 422, 85, 277, 6, 499, 302, 334, 176, 753, 994, 660, 341, 749, 811, 88, 400, 436, 344, 601, 26, 707, 274, 332, 568, 600, 589, 35, 368, 621, 792, 281, 69, 397, 68, 821, 948, 401, 547, 925, 423, 947, 428, 860, 20, 244, 210, 39, 848, 71, 885, 19, 698, 751, 287, 353, 209, 337, 73, 676, 766, 15, 135, 968, 365, 595, 110, 279, 131, 173, 248, 695, 88, 440, 53, 617, 57, 286, 541, 54, 830, 772, 480, 530, 356, 73, 314, 145, 55, 160, 310, 837, 374, 105, 618, 66}

    Returns: {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0 }

  145. 1000

    {325, 869, 534, 731, 690, 16, 283, 280, 921, 417, 796, 900, 297, 732, 134, 356, 9, 293, 874, 869, 824, 852, 631, 67, 669, 988, 512, 650, 132, 676, 345, 933, 117, 670, 933, 136, 446, 30, 123, 680, 17, 203, 956, 566, 802, 311, 504, 527, 466, 314, 205, 92, 792, 182, 502, 385, 172, 82, 331, 944, 15, 32, 229, 837, 504, 629, 173, 355, 956, 507, 864, 896, 44, 517, 216, 991, 767, 233, 774, 642, 454, 596, 396, 21, 172, 292, 499, 699, 990, 660, 247, 766, 24, 279, 393, 148, 226, 530, 695, 274, 209, 852, 552, 896, 730, 31, 380, 257, 600, 294, 672, 721, 145, 543, 762, 900, 347, 755, 969, 91, 244, 419, 935, 77, 810, 237, 204, 803, 547, 749, 203, 481, 406, 745, 363, 816, 879, 358, 699, 235, 356, 121, 348, 456, 708, 238, 154, 40, 340, 938, 414, 104, 710, 14, 844, 910, 137, 868, 227, 749, 752, 964, 612, 693, 600, 62, 460, 324, 86, 479, 957, 586, 477, 582, 585, 502, 858, 894, 832, 81, 628, 750, 290, 286, 432, 909, 657, 842, 536, 149, 528, 587, 533, 574, 979, 281, 237, 89, 947, 692, 626, 389, 176, 86, 501, 655, 436, 327, 615, 526, 228, 149, 291, 660, 614, 188, 222, 895, 739, 850, 565, 526, 537, 606, 116, 374, 276, 998, 101, 919, 644, 981, 803, 549, 399, 615, 220, 256, 368, 965, 624, 312, 926, 300, 180, 527, 560, 940, 837, 485, 464, 314, 348, 370, 346, 606, 460, 906, 551, 264, 384, 990, 511, 939, 786, 391, 124, 194, 789, 445, 7, 842, 799, 238, 844, 66, 226, 952, 109, 888, 872, 339, 838, 648, 535, 184, 989, 579, 291, 62, 16, 258, 927, 224, 551, 60, 388, 593, 25, 350, 476, 308, 649, 618, 72, 482, 212, 791, 479, 939, 784, 184, 179, 664, 108, 915, 590, 145, 864, 362, 807, 252, 823, 411, 561, 125, 183, 542, 94, 766, 322, 502, 52, 641, 692, 460, 968, 352, 182, 541, 804, 677, 616, 793, 666, 920, 926, 112, 488, 588, 445, 257, 590, 768, 898, 251, 735, 719, 436, 144, 774, 257, 386, 29, 831, 385, 976, 736, 863, 875, 196, 520, 545, 140, 558, 493, 836, 220, 202, 375, 839, 487, 11, 405, 170, 647, 172, 906, 29, 964, 908, 36, 181, 413, 787, 72, 917, 173, 951, 432, 281, 618, 300, 738, 911, 656, 809, 921, 596, 720, 552, 388, 813, 681, 24, 566, 785, 492, 739, 488, 753, 838, 617, 990, 603, 428, 399, 128, 90, 894, 350, 334, 415, 203, 696, 107, 345, 22, 44, 892, 752, 95, 676, 733, 268, 364, 768, 805, 122, 340, 729, 414, 812, 465, 447, 744, 465, 386, 864, 617, 355, 456, 60, 871, 480, 658, 816, 239, 486, 416, 222, 570, 677, 919, 589, 751, 578, 70, 319, 161, 187, 836, 658, 996, 928, 426, 363, 541, 969, 648, 558, 953, 302, 603, 539, 355, 273, 537, 36, 103, 870, 675, 633, 263, 224, 186, 786, 975, 378, 689, 532, 484, 328, 839, 942, 792, 156, 781, 408, 961, 21, 229, 940, 555, 640, 757, 799, 693, 684, 222, 127, 137, 263, 435, 858, 300, 806, 680, 608, 561, 264, 926, 87, 104, 563, 480, 452, 568, 704, 200, 924, 317, 668, 911, 527, 68, 861, 749, 934, 59, 379, 836, 408, 342, 563, 868, 23, 488, 291, 687, 903, 767, 553, 156, 771, 383, 752, 248, 985, 166, 787, 395, 703, 436, 467, 412, 46, 415, 121, 819, 99, 54, 682, 980, 398, 707, 305, 342, 640, 435, 929, 181, 74, 405, 147, 635, 664, 965, 108, 659, 905, 786, 989, 897, 867, 18, 239, 954, 491, 772, 264, 116, 872, 108, 937, 620, 503, 223, 676, 757, 605, 446, 17, 969, 478, 707, 551, 813, 797, 790, 330, 793, 884, 755, 717, 575, 209, 209, 325, 89, 304, 605, 159, 924, 991, 850, 948, 425, 114, 459, 461, 165, 859, 812, 584, 272, 877, 236, 632, 234, 886, 748, 988, 39, 723, 80, 735, 321, 952, 600, 249, 798, 230, 34, 465, 489, 272, 2, 387, 986, 345, 728, 772, 258, 535, 424, 750, 165, 517, 447, 477, 449, 215, 230, 334, 390, 647, 147, 163, 9, 525, 70, 756, 619, 683, 708, 719, 616, 977, 778, 188, 382, 834, 576, 347, 353, 884, 79, 636, 244, 984, 895, 302, 913, 850, 398, 605, 581, 727, 486, 839, 744, 637, 111, 735, 89, 591, 50, 80, 767, 247, 634, 104, 235, 886, 212, 616, 703, 425, 252, 916, 245, 2, 263, 608, 31, 893, 650, 555, 90, 92, 238, 48, 509, 208, 615, 382, 236, 841, 912, 87, 894, 815, 916, 459, 724, 239, 644, 966, 128, 815, 821, 897, 899, 390, 666, 322, 843, 149, 598, 385, 322, 673, 301, 58, 710, 574, 49, 507, 963, 202, 663, 496, 67, 890, 706, 414, 556, 167, 419, 666, 938, 779, 888, 795, 549, 934, 652, 657, 683, 371, 34, 834, 123, 801, 875, 265, 52, 823, 949, 42, 917, 962, 375, 226, 395, 816, 45, 834, 791, 327, 988, 915, 476, 339, 867, 422, 478, 795, 337, 606, 464, 205, 938, 698, 971, 725, 688, 128, 376, 213, 302, 879, 819, 672, 154, 951, 244, 517, 995, 316, 63, 271, 649, 55, 746, 895, 443, 491, 861, 270, 85, 356, 647, 607, 738, 409, 970, 638, 384, 663, 298, 325, 145, 842, 707, 772, 663, 115, 928, 518, 476, 173, 290, 202, 587, 424, 728, 30, 671, 494, 720, 632, 93, 185, 607, 304, 913, 452, 815, 928, 197, 893, 540, 518, 408, 405, 219, 366, 582, 215, 934, 74, 25, 784, 675, 80, 456, 368, 233, 255, 179, 947, 806, 185, 530, 573, 350, 826, 406, 854, 301, 501, 703, 612, 771, 467, 710, 813, 522, 449, 975, 66, 229, 90, 706, 375, 448, 854, 180, 292, 905, 923, 273, 725, 585, 897, 777, 696, 48, 817, 557, 307, 891, 645, 758, 669, 392, 139, 870, 380, 849, 602, 114, 54, 748, 967, 349, 454, 503, 899, 876, 525, 556, 657, 668, 641, 310, 493, 745, 218, 473, 976, 942, 679, 805, 899, 908, 959, 737, 287, 542, 906, 167, 963, 552, 377, 73, 509, 831, 524, 539, 439, 727, 963, 968, 871, 797, 558, 1, 308, 919, 192, 927, 8, 896, 890, 330, 658, 793, 58, 187, 341, 585, 227, 493, 258, 668, 292, 736, 503, 112, 756, 870, 188, 727, 412, 522, 549, 333, 467, 561, 112, 809, 362, 360, 289, 992, 240, 93, 645, 761, 475, 365, 898, 273, 743, 10, 317, 913, 495, 829, 535, 115, 691, 543, 869, 508, 590, 941, 57, 22, 99, 359, 477, 254, 34, 838, 614, 548, 380, 413, 681, 976, 109, 224, 360, 983, 773, 640, 271, 885, 267, 376, 596, 751, 140, 802, 614, 381, 158, 208, 63, 289, 806, 951, 761, 866, 979, 562, 446, 306, 484, 319, 185, 812, 516, 77, 829, 204, 242, 139, 866, 10, 158, 68, 501, 288, 777, 891, 774, 797, 343, 219, 287, 717, 492, 764, 39, 550, 704, 457, 612, 636, 903, 235, 287, 75, 971, 725, 463, 848, 250, 250, 489, 746, 6, 88, 43, 398, 328, 544, 346, 681, 191, 200, 148, 917, 635, 720, 75, 48, 581, 533, 578, 977, 724, 900, 920, 484, 313, 269, 908, 957, 659, 909, 800, 324, 893, 486, 731, 885, 378, 971, 750, 135, 747, 332, 332, 574, 511, 873, 183, 13, 514, 821, 843, 611, 232, 472, 845, 228, 483, 159, 71, 800, 889, 454, 745, 629, 404, 17, 670, 781, 449, 844, 639, 105, 729, 151, 391, 831, 269, 761, 629, 691, 824, 604, 344, 310, 237, 665, 435, 342, 49, 158, 73, 495, 439, 450, 281, 279, 964, 256, 516, 694, 638, 521, 131, 5, 921, 626, 386, 584, 649, 920, 39, 13, 953, 562, 117, 289, 555, 353, 13, 16, 148, 103, 95, 180, 587, 769, 362, 855, 922, 218, 91, 364, 269, 809, 542, 482, 411, 505, 712, 510, 176, 448, 151, 422, 248, 554, 798, 698, 290, 121, 562, 973, 217, 461, 851, 406, 891, 784, 275, 613, 708, 464, 871, 790, 522, 283, 28, 878, 220, 421, 773, 578, 627, 131, 644, 228, 212, 110, 260, 525, 422, 74, 773, 907, 704, 530, 461, 283, 416, 140, 513, 44, 751, 268, 709, 949, 217, 935, 851, 218, 184, 409, 803, 11, 780, 416, 999, 610, 378, 924, 9, 967, 115, 739, 402, 246, 339, 736, 400, 956, 794, 54, 801, 170, 828, 267, 777, 254, 778, 159, 50, 359, 821, 231, 450, 252, 438, 536, 330, 109, 732, 194, 592, 664, 278, 250, 399, 592, 781, 741, 567, 14, 82, 56, 724, 452, 154, 368, 645, 359, 792, 639, 937, 419, 262, 849, 738, 619, 683, 699, 912, 631, 439, 961, 101, 787, 344, 979, 693, 987, 331, 21, 655, 814, 935, 259, 854, 966, 231, 396, 404, 518, 66, 547, 635, 52, 619, 677, 282, 694, 737, 181, 55, 691}

    {67, 512, 498, 144, 862, 335, 982, 221, 494, 830, 84, 88, 718, 178, 97, 146, 409, 261, 577, 759, 46, 190, 494, 984, 307, 559, 759, 153, 685, 485, 403, 827, 883, 845, 88, 820, 575, 983, 559, 441, 388, 992, 667, 695, 119, 726, 904, 560, 420, 576, 643, 118, 351, 513, 886, 637, 509, 987, 936, 160, 284, 523, 440, 358, 245, 719, 911, 892, 478, 138, 246, 19, 510, 523, 296, 197, 466, 623, 789, 431, 519, 331, 483, 643, 601, 686, 437, 22, 877, 730, 311, 637, 575, 954, 65, 624, 424, 462, 474, 299, 690, 343, 757, 93, 662, 613, 311, 659, 675, 309, 171, 572, 846, 490, 41, 827, 846, 597, 778, 785, 564, 397, 711, 978, 653, 286, 4, 795, 714, 97, 444, 119, 763, 822, 840, 79, 135, 918, 506, 170, 689, 336, 20, 652, 966, 175, 701, 76, 32, 730, 947, 768, 294, 624, 10, 914, 357, 571, 723, 134, 999, 737, 305, 791, 981, 534, 805, 734, 830, 754, 847, 126, 576, 982, 968, 865, 622, 105, 51, 881, 835, 841, 95, 882, 143, 373, 119, 617, 407, 771, 455, 138, 294, 970, 384, 634, 882, 536, 277, 960, 531, 594, 702, 417, 61, 565, 201, 51, 266, 142, 801, 102, 450, 662, 431, 586, 577, 521, 275, 77, 169, 105, 126, 636, 440, 623, 994, 195, 902, 709, 343, 783, 580, 500, 682, 753, 387, 471, 303, 715, 630, 945, 712, 873, 579, 315, 315, 689, 918, 207, 764, 833, 45, 705, 604, 544, 265, 855, 176, 151, 8, 183, 925, 874, 447, 211, 243, 351, 401, 341, 621, 427, 221, 282, 232, 197, 234, 685, 728, 468, 295, 20, 98, 995, 310, 163, 352, 902, 554, 498, 144, 111, 366, 132, 702, 1, 598, 98, 764, 734, 193, 740, 993, 47, 266, 508, 68, 381, 743, 577, 451, 4, 210, 931, 137, 276, 655, 665, 0, 794, 714, 651, 712, 410, 417, 569, 877, 272, 686, 713, 491, 71, 174, 678, 510, 583, 814, 96, 451, 383, 667, 599, 628, 313, 168, 648, 722, 53, 83, 47, 782, 540, 565, 656, 892, 469, 932, 810, 270, 335, 401, 162, 945, 945, 371, 766, 33, 223, 958, 393, 462, 972, 198, 276, 37, 352, 867, 818, 410, 28, 251, 320, 41, 825, 716, 448, 255, 433, 312, 878, 889, 972, 434, 389, 671, 753, 780, 243, 7, 779, 851, 588, 672, 213, 124, 997, 670, 354, 610, 377, 423, 64, 758, 881, 367, 474, 78, 207, 538, 428, 266, 208, 365, 130, 673, 83, 165, 392, 696, 142, 324, 697, 796, 584, 3, 531, 508, 627, 960, 323, 890, 473, 207, 643, 134, 59, 997, 583, 931, 523, 701, 277, 271, 837, 674, 313, 358, 312, 304, 427, 323, 468, 106, 755, 721, 192, 953, 177, 400, 320, 874, 397, 353, 73, 651, 688, 338, 519, 497, 811, 611, 661, 887, 61, 349, 857, 688, 253, 470, 901, 346, 79, 206, 206, 907, 898, 687, 586, 520, 826, 650, 981, 102, 394, 952, 711, 567, 628, 432, 146, 580, 136, 12, 469, 959, 23, 320, 955, 770, 570, 733, 110, 146, 498, 76, 859, 280, 381, 153, 939, 441, 457, 364, 216, 213, 171, 429, 127, 192, 830, 876, 823, 420, 656, 589, 572, 18, 742, 2, 700, 714, 53, 30, 243, 829, 944, 993, 268, 754, 394, 373, 262, 539, 280, 651, 671, 351, 694, 880, 372, 293, 420, 595, 487, 102, 253, 760, 282, 470, 678, 868, 998, 455, 332, 376, 469, 515, 84, 942, 186, 741, 568, 26, 38, 249, 254, 625, 221, 382, 296, 775, 548, 623, 230, 433, 903, 607, 780, 457, 162, 431, 674, 96, 929, 661, 211, 987, 529, 326, 425, 27, 110, 421, 357, 818, 210, 15, 853, 492, 423, 78, 24, 64, 985, 804, 361, 438, 63, 972, 862, 566, 189, 371, 472, 337, 367, 862, 790, 930, 407, 0, 785, 762, 807, 546, 978, 326, 914, 950, 191, 954, 682, 423, 437, 992, 259, 130, 240, 249, 152, 71, 284, 123, 333, 765, 227, 56, 458, 132, 783, 856, 372, 825, 824, 918, 853, 150, 705, 818, 925, 482, 129, 910, 950, 369, 152, 495, 26, 32, 567, 314, 572, 28, 524, 349, 274, 776, 855, 4, 125, 909, 973, 214, 402, 47, 857, 653, 835, 285, 470, 126, 76, 756, 833, 665, 599, 329, 225, 943, 58, 930, 55, 673, 31, 316, 856, 91, 94, 553, 308, 412, 189, 713, 950, 746, 828, 178, 996, 723, 87, 726, 808, 997, 923, 865, 944, 975, 528, 910, 589, 136, 904, 370, 59, 887, 133, 118, 684, 534, 3, 602, 248, 327, 255, 98, 72, 40, 303, 113, 418, 466, 526, 511, 820, 763, 573, 82, 190, 857, 453, 925, 626, 267, 445, 299, 135, 948, 155, 633, 64, 713, 326, 206, 881, 564, 533, 12, 528, 848, 496, 306, 297, 157, 930, 999, 568, 278, 275, 863, 961, 879, 660, 143, 652, 532, 483, 743, 468, 802, 618, 329, 46, 42, 922, 545, 65, 583, 475, 722, 296, 214, 965, 69, 120, 152, 195, 225, 20, 214, 430, 832, 922, 994, 99, 45, 262, 217, 667, 580, 429, 943, 25, 733, 662, 305, 395, 441, 840, 800, 974, 622, 603, 168, 711, 873, 57, 231, 505, 340, 901, 978, 758, 437, 861, 442, 932, 442, 982, 948, 260, 201, 155, 940, 463, 931, 622, 569, 12, 401, 241, 885, 974, 984, 347, 365, 6, 914, 718, 1, 334, 504, 741, 124, 646, 411, 848, 234, 769, 860, 571, 354, 883, 856, 19, 393, 122, 246, 613, 391, 986, 697, 546, 92, 162, 904, 907, 524, 811, 955, 443, 120, 479, 233, 788, 513, 783, 765, 888, 236, 374, 601, 620, 278, 717, 875, 196, 847, 5, 654, 191, 285, 81, 996, 49, 698, 633, 298, 309, 141, 962, 480, 835, 546, 116, 557, 742, 215, 776, 514, 101, 94, 642, 716, 798, 127, 946, 775, 872, 557, 51, 822, 3, 338, 187, 103, 141, 338, 453, 402, 153, 726, 33, 118, 111, 706, 15, 822, 697, 973, 748, 341, 27, 379, 538, 481, 860, 166, 369, 96, 817, 75, 646, 849, 336, 471, 265, 782, 418, 336, 35, 594, 259, 147, 958, 157, 859, 883, 709, 601, 884, 825, 770, 299, 404, 344, 946, 472, 520, 604, 106, 400, 199, 887, 955, 241, 550, 760, 474, 608, 744, 505, 164, 782, 814, 765, 989, 114, 983, 581, 489, 284, 43, 42, 684, 537, 595, 251, 360, 396, 490, 974, 86, 317, 845, 200, 69, 210, 444, 303, 550, 826, 679, 174, 427, 323, 372, 754, 232, 43, 133, 113, 560, 747, 106, 843, 333, 592, 403, 169, 599, 701, 506, 193, 863, 833, 361, 515, 593, 642, 434, 247, 594, 81, 242, 129, 685, 962, 860, 319, 40, 499, 297, 929, 298, 936, 840, 915, 481, 905, 430, 541, 593, 141, 620, 337, 621, 471, 196, 241, 796, 367, 410, 916, 288, 65, 499, 548, 316, 315, 163, 33, 318, 462, 609, 383, 160, 50, 497, 295, 611, 638, 36, 190, 161, 389, 429, 485, 788, 490, 19, 370, 357, 625, 544, 261, 716, 413, 458, 998, 680, 776, 138, 178, 732, 223, 56, 361, 827, 53, 632, 970, 943, 37, 301, 763, 794, 14, 715, 261, 117, 321, 832, 686, 309, 307, 514, 847, 933, 901, 820, 189, 678, 912, 573, 540, 379, 453, 5, 602, 740, 335, 718, 779, 195, 113, 168, 369, 201, 270, 328, 986, 171, 130, 161, 285, 107, 85, 164, 609, 597, 100, 545, 500, 41, 865, 392, 418, 70, 967, 653, 553, 598, 100, 366, 721, 609, 286, 142, 57, 27, 18, 329, 641, 256, 810, 85, 515, 37, 496, 747, 639, 846, 949, 799, 455, 253, 199, 841, 274, 554, 808, 529, 35, 679, 434, 428, 789, 442, 174, 734, 631, 107, 29, 444, 260, 995, 543, 219, 225, 84, 377, 179, 62, 941, 811, 731, 630, 654, 646, 902, 507, 129, 700, 433, 559, 458, 78, 394, 166, 100, 150, 403, 306, 564, 722, 960, 438, 463, 876, 980, 175, 880, 687, 625, 473, 959, 415, 519, 38, 279, 634, 459, 164, 182, 538, 133, 426, 788, 597, 690, 69, 443, 120, 35, 937, 295, 497, 669, 506, 475, 852, 198, 160, 440, 993, 373, 38, 374, 288, 770, 705, 866, 529, 582, 487, 994, 451, 692, 363, 97, 199, 216, 980, 186, 808, 321, 204, 125, 532, 762, 715, 156, 760, 936, 143, 547, 569, 817, 60, 556, 318, 0, 348, 853, 740, 804, 700, 742, 198, 923, 407, 775, 421, 6, 985, 11, 61, 958, 531, 7, 880, 563, 702, 828, 695, 769, 591, 23, 759, 122, 277, 591, 26, 512, 927, 193, 674, 630, 177, 932, 957, 211, 729, 240, 654, 167, 194, 882, 387, 570, 661, 242, 858, 139, 588, 627, 889, 354, 390, 397, 579, 571, 157, 8, 430, 177, 610, 205, 169, 946, 819, 150, 977, 426, 621, 500, 595, 245, 991, 807, 293, 131, 318, 941, 175, 83, 878, 516, 521, 155}

    Returns: {0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1 }

  146. 1000

    {0, 0, 0, 1, 1, 2, 4, 4, 4, 5, 5, 6, 8, 8, 8, 9, 9, 10, 12, 12, 12, 13, 13, 14, 16, 16, 16, 17, 17, 18, 20, 20, 20, 21, 21, 22, 24, 24, 24, 25, 25, 26, 28, 28, 28, 29, 29, 30, 32, 32, 32, 33, 33, 34, 36, 36, 36, 37, 37, 38, 40, 40, 40, 41, 41, 42, 44, 44, 44, 45, 45, 46, 48, 48, 48, 49, 49, 50, 52, 52, 52, 53, 53, 54, 56, 56, 56, 57, 57, 58, 60, 60, 60, 61, 61, 62, 64, 64, 64, 65, 65, 66, 68, 68, 68, 69, 69, 70, 72, 72, 72, 73, 73, 74, 76, 76, 76, 77, 77, 78, 80, 80, 80, 81, 81, 82, 84, 84, 84, 85, 85, 86, 88, 88, 88, 89, 89, 90, 92, 92, 92, 93, 93, 94, 96, 96, 96, 97, 97, 98, 100, 100, 100, 101, 101, 102, 104, 104, 104, 105, 105, 106, 108, 108, 108, 109, 109, 110, 112, 112, 112, 113, 113, 114, 116, 116, 116, 117, 117, 118, 120, 120, 120, 121, 121, 122, 124, 124, 124, 125, 125, 126, 128, 128, 128, 129, 129, 130, 132, 132, 132, 133, 133, 134, 136, 136, 136, 137, 137, 138, 140, 140, 140, 141, 141, 142, 144, 144, 144, 145, 145, 146, 148, 148, 148, 149, 149, 150, 152, 152, 152, 153, 153, 154, 156, 156, 156, 157, 157, 158, 160, 160, 160, 161, 161, 162, 164, 164, 164, 165, 165, 166, 168, 168, 168, 169, 169, 170, 172, 172, 172, 173, 173, 174, 176, 176, 176, 177, 177, 178, 180, 180, 180, 181, 181, 182, 184, 184, 184, 185, 185, 186, 188, 188, 188, 189, 189, 190, 192, 192, 192, 193, 193, 194, 196, 196, 196, 197, 197, 198, 200, 200, 200, 201, 201, 202, 204, 204, 204, 205, 205, 206, 208, 208, 208, 209, 209, 210, 212, 212, 212, 213, 213, 214, 216, 216, 216, 217, 217, 218, 220, 220, 220, 221, 221, 222, 224, 224, 224, 225, 225, 226, 228, 228, 228, 229, 229, 230, 232, 232, 232, 233, 233, 234, 236, 236, 236, 237, 237, 238, 240, 240, 240, 241, 241, 242, 244, 244, 244, 245, 245, 246, 248, 248, 248, 249, 249, 250, 252, 252, 252, 253, 253, 254, 256, 256, 256, 257, 257, 258, 260, 260, 260, 261, 261, 262, 264, 264, 264, 265, 265, 266, 268, 268, 268, 269, 269, 270, 272, 272, 272, 273, 273, 274, 276, 276, 276, 277, 277, 278, 280, 280, 280, 281, 281, 282, 284, 284, 284, 285, 285, 286, 288, 288, 288, 289, 289, 290, 292, 292, 292, 293, 293, 294, 296, 296, 296, 297, 297, 298, 300, 300, 300, 301, 301, 302, 304, 304, 304, 305, 305, 306, 308, 308, 308, 309, 309, 310, 312, 312, 312, 313, 313, 314, 316, 316, 316, 317, 317, 318, 320, 320, 320, 321, 321, 322, 324, 324, 324, 325, 325, 326, 328, 328, 328, 329, 329, 330, 332, 332, 332, 333, 333, 334, 336, 336, 336, 337, 337, 338, 340, 340, 340, 341, 341, 342, 344, 344, 344, 345, 345, 346, 348, 348, 348, 349, 349, 350, 352, 352, 352, 353, 353, 354, 356, 356, 356, 357, 357, 358, 360, 360, 360, 361, 361, 362, 364, 364, 364, 365, 365, 366, 368, 368, 368, 369, 369, 370, 372, 372, 372, 373, 373, 374, 376, 376, 376, 377, 377, 378, 380, 380, 380, 381, 381, 382, 384, 384, 384, 385, 385, 386, 388, 388, 388, 389, 389, 390, 392, 392, 392, 393, 393, 394, 396, 396, 396, 397, 397, 398, 400, 400, 400, 401, 401, 402, 404, 404, 404, 405, 405, 406, 408, 408, 408, 409, 409, 410, 412, 412, 412, 413, 413, 414, 416, 416, 416, 417, 417, 418, 420, 420, 420, 421, 421, 422, 424, 424, 424, 425, 425, 426, 428, 428, 428, 429, 429, 430, 432, 432, 432, 433, 433, 434, 436, 436, 436, 437, 437, 438, 440, 440, 440, 441, 441, 442, 444, 444, 444, 445, 445, 446, 448, 448, 448, 449, 449, 450, 452, 452, 452, 453, 453, 454, 456, 456, 456, 457, 457, 458, 460, 460, 460, 461, 461, 462, 464, 464, 464, 465, 465, 466, 468, 468, 468, 469, 469, 470, 472, 472, 472, 473, 473, 474, 476, 476, 476, 477, 477, 478, 480, 480, 480, 481, 481, 482, 484, 484, 484, 485, 485, 486, 488, 488, 488, 489, 489, 490, 492, 492, 492, 493, 493, 494, 496, 496, 496, 497, 497, 498, 500, 500, 500, 501, 501, 502, 504, 504, 504, 505, 505, 506, 508, 508, 508, 509, 509, 510, 512, 512, 512, 513, 513, 514, 516, 516, 516, 517, 517, 518, 520, 520, 520, 521, 521, 522, 524, 524, 524, 525, 525, 526, 528, 528, 528, 529, 529, 530, 532, 532, 532, 533, 533, 534, 536, 536, 536, 537, 537, 538, 540, 540, 540, 541, 541, 542, 544, 544, 544, 545, 545, 546, 548, 548, 548, 549, 549, 550, 552, 552, 552, 553, 553, 554, 556, 556, 556, 557, 557, 558, 560, 560, 560, 561, 561, 562, 564, 564, 564, 565, 565, 566, 568, 568, 568, 569, 569, 570, 572, 572, 572, 573, 573, 574, 576, 576, 576, 577, 577, 578, 580, 580, 580, 581, 581, 582, 584, 584, 584, 585, 585, 586, 588, 588, 588, 589, 589, 590, 592, 592, 592, 593, 593, 594, 596, 596, 596, 597, 597, 598, 600, 600, 600, 601, 601, 602, 604, 604, 604, 605, 605, 606, 608, 608, 608, 609, 609, 610, 612, 612, 612, 613, 613, 614, 616, 616, 616, 617, 617, 618, 620, 620, 620, 621, 621, 622, 624, 624, 624, 625, 625, 626, 628, 628, 628, 629, 629, 630, 632, 632, 632, 633, 633, 634, 636, 636, 636, 637, 637, 638, 640, 640, 640, 641, 641, 642, 644, 644, 644, 645, 645, 646, 648, 648, 648, 649, 649, 650, 652, 652, 652, 653, 653, 654, 656, 656, 656, 657, 657, 658, 660, 660, 660, 661, 661, 662, 664, 664, 664, 665, 665, 666, 668, 668, 668, 669, 669, 670, 672, 672, 672, 673, 673, 674, 676, 676, 676, 677, 677, 678, 680, 680, 680, 681, 681, 682, 684, 684, 684, 685, 685, 686, 688, 688, 688, 689, 689, 690, 692, 692, 692, 693, 693, 694, 696, 696, 696, 697, 697, 698, 700, 700, 700, 701, 701, 702, 704, 704, 704, 705, 705, 706, 708, 708, 708, 709, 709, 710, 712, 712, 712, 713, 713, 714, 716, 716, 716, 717, 717, 718, 720, 720, 720, 721, 721, 722, 724, 724, 724, 725, 725, 726, 728, 728, 728, 729, 729, 730, 732, 732, 732, 733, 733, 734, 736, 736, 736, 737, 737, 738, 740, 740, 740, 741, 741, 742, 744, 744, 744, 745, 745, 746, 748, 748, 748, 749, 749, 750, 752, 752, 752, 753, 753, 754, 756, 756, 756, 757, 757, 758, 760, 760, 760, 761, 761, 762, 764, 764, 764, 765, 765, 766, 768, 768, 768, 769, 769, 770, 772, 772, 772, 773, 773, 774, 776, 776, 776, 777, 777, 778, 780, 780, 780, 781, 781, 782, 784, 784, 784, 785, 785, 786, 788, 788, 788, 789, 789, 790, 792, 792, 792, 793, 793, 794, 796, 796, 796, 797, 797, 798, 800, 800, 800, 801, 801, 802, 804, 804, 804, 805, 805, 806, 808, 808, 808, 809, 809, 810, 812, 812, 812, 813, 813, 814, 816, 816, 816, 817, 817, 818, 820, 820, 820, 821, 821, 822, 824, 824, 824, 825, 825, 826, 828, 828, 828, 829, 829, 830, 832, 832, 832, 833, 833, 834, 836, 836, 836, 837, 837, 838, 840, 840, 840, 841, 841, 842, 844, 844, 844, 845, 845, 846, 848, 848, 848, 849, 849, 850, 852, 852, 852, 853, 853, 854, 856, 856, 856, 857, 857, 858, 860, 860, 860, 861, 861, 862, 864, 864, 864, 865, 865, 866, 868, 868, 868, 869, 869, 870, 872, 872, 872, 873, 873, 874, 876, 876, 876, 877, 877, 878, 880, 880, 880, 881, 881, 882, 884, 884, 884, 885, 885, 886, 888, 888, 888, 889, 889, 890, 892, 892, 892, 893, 893, 894, 896, 896, 896, 897, 897, 898, 900, 900, 900, 901, 901, 902, 904, 904, 904, 905, 905, 906, 908, 908, 908, 909, 909, 910, 912, 912, 912, 913, 913, 914, 916, 916, 916, 917, 917, 918, 920, 920, 920, 921, 921, 922, 924, 924, 924, 925, 925, 926, 928, 928, 928, 929, 929, 930, 932, 932, 932, 933, 933, 934, 936, 936, 936, 937, 937, 938, 940, 940, 940, 941, 941, 942, 944, 944, 944, 945, 945, 946, 948, 948, 948, 949, 949, 950, 952, 952, 952, 953, 953, 954, 956, 956, 956, 957, 957, 958, 960, 960, 960, 961, 961, 962, 964, 964, 964, 965, 965, 966, 968, 968, 968, 969, 969, 970, 972, 972, 972, 973, 973, 974, 976, 976, 976, 977, 977, 978, 980, 980, 980, 981, 981, 982, 984, 984, 984, 985, 985, 986, 988, 988, 988, 989, 989, 990, 992, 992, 992, 993, 993, 994, 996, 996, 996, 997, 997, 998 }

    {1, 2, 3, 2, 3, 3, 5, 6, 7, 6, 7, 7, 9, 10, 11, 10, 11, 11, 13, 14, 15, 14, 15, 15, 17, 18, 19, 18, 19, 19, 21, 22, 23, 22, 23, 23, 25, 26, 27, 26, 27, 27, 29, 30, 31, 30, 31, 31, 33, 34, 35, 34, 35, 35, 37, 38, 39, 38, 39, 39, 41, 42, 43, 42, 43, 43, 45, 46, 47, 46, 47, 47, 49, 50, 51, 50, 51, 51, 53, 54, 55, 54, 55, 55, 57, 58, 59, 58, 59, 59, 61, 62, 63, 62, 63, 63, 65, 66, 67, 66, 67, 67, 69, 70, 71, 70, 71, 71, 73, 74, 75, 74, 75, 75, 77, 78, 79, 78, 79, 79, 81, 82, 83, 82, 83, 83, 85, 86, 87, 86, 87, 87, 89, 90, 91, 90, 91, 91, 93, 94, 95, 94, 95, 95, 97, 98, 99, 98, 99, 99, 101, 102, 103, 102, 103, 103, 105, 106, 107, 106, 107, 107, 109, 110, 111, 110, 111, 111, 113, 114, 115, 114, 115, 115, 117, 118, 119, 118, 119, 119, 121, 122, 123, 122, 123, 123, 125, 126, 127, 126, 127, 127, 129, 130, 131, 130, 131, 131, 133, 134, 135, 134, 135, 135, 137, 138, 139, 138, 139, 139, 141, 142, 143, 142, 143, 143, 145, 146, 147, 146, 147, 147, 149, 150, 151, 150, 151, 151, 153, 154, 155, 154, 155, 155, 157, 158, 159, 158, 159, 159, 161, 162, 163, 162, 163, 163, 165, 166, 167, 166, 167, 167, 169, 170, 171, 170, 171, 171, 173, 174, 175, 174, 175, 175, 177, 178, 179, 178, 179, 179, 181, 182, 183, 182, 183, 183, 185, 186, 187, 186, 187, 187, 189, 190, 191, 190, 191, 191, 193, 194, 195, 194, 195, 195, 197, 198, 199, 198, 199, 199, 201, 202, 203, 202, 203, 203, 205, 206, 207, 206, 207, 207, 209, 210, 211, 210, 211, 211, 213, 214, 215, 214, 215, 215, 217, 218, 219, 218, 219, 219, 221, 222, 223, 222, 223, 223, 225, 226, 227, 226, 227, 227, 229, 230, 231, 230, 231, 231, 233, 234, 235, 234, 235, 235, 237, 238, 239, 238, 239, 239, 241, 242, 243, 242, 243, 243, 245, 246, 247, 246, 247, 247, 249, 250, 251, 250, 251, 251, 253, 254, 255, 254, 255, 255, 257, 258, 259, 258, 259, 259, 261, 262, 263, 262, 263, 263, 265, 266, 267, 266, 267, 267, 269, 270, 271, 270, 271, 271, 273, 274, 275, 274, 275, 275, 277, 278, 279, 278, 279, 279, 281, 282, 283, 282, 283, 283, 285, 286, 287, 286, 287, 287, 289, 290, 291, 290, 291, 291, 293, 294, 295, 294, 295, 295, 297, 298, 299, 298, 299, 299, 301, 302, 303, 302, 303, 303, 305, 306, 307, 306, 307, 307, 309, 310, 311, 310, 311, 311, 313, 314, 315, 314, 315, 315, 317, 318, 319, 318, 319, 319, 321, 322, 323, 322, 323, 323, 325, 326, 327, 326, 327, 327, 329, 330, 331, 330, 331, 331, 333, 334, 335, 334, 335, 335, 337, 338, 339, 338, 339, 339, 341, 342, 343, 342, 343, 343, 345, 346, 347, 346, 347, 347, 349, 350, 351, 350, 351, 351, 353, 354, 355, 354, 355, 355, 357, 358, 359, 358, 359, 359, 361, 362, 363, 362, 363, 363, 365, 366, 367, 366, 367, 367, 369, 370, 371, 370, 371, 371, 373, 374, 375, 374, 375, 375, 377, 378, 379, 378, 379, 379, 381, 382, 383, 382, 383, 383, 385, 386, 387, 386, 387, 387, 389, 390, 391, 390, 391, 391, 393, 394, 395, 394, 395, 395, 397, 398, 399, 398, 399, 399, 401, 402, 403, 402, 403, 403, 405, 406, 407, 406, 407, 407, 409, 410, 411, 410, 411, 411, 413, 414, 415, 414, 415, 415, 417, 418, 419, 418, 419, 419, 421, 422, 423, 422, 423, 423, 425, 426, 427, 426, 427, 427, 429, 430, 431, 430, 431, 431, 433, 434, 435, 434, 435, 435, 437, 438, 439, 438, 439, 439, 441, 442, 443, 442, 443, 443, 445, 446, 447, 446, 447, 447, 449, 450, 451, 450, 451, 451, 453, 454, 455, 454, 455, 455, 457, 458, 459, 458, 459, 459, 461, 462, 463, 462, 463, 463, 465, 466, 467, 466, 467, 467, 469, 470, 471, 470, 471, 471, 473, 474, 475, 474, 475, 475, 477, 478, 479, 478, 479, 479, 481, 482, 483, 482, 483, 483, 485, 486, 487, 486, 487, 487, 489, 490, 491, 490, 491, 491, 493, 494, 495, 494, 495, 495, 497, 498, 499, 498, 499, 499, 501, 502, 503, 502, 503, 503, 505, 506, 507, 506, 507, 507, 509, 510, 511, 510, 511, 511, 513, 514, 515, 514, 515, 515, 517, 518, 519, 518, 519, 519, 521, 522, 523, 522, 523, 523, 525, 526, 527, 526, 527, 527, 529, 530, 531, 530, 531, 531, 533, 534, 535, 534, 535, 535, 537, 538, 539, 538, 539, 539, 541, 542, 543, 542, 543, 543, 545, 546, 547, 546, 547, 547, 549, 550, 551, 550, 551, 551, 553, 554, 555, 554, 555, 555, 557, 558, 559, 558, 559, 559, 561, 562, 563, 562, 563, 563, 565, 566, 567, 566, 567, 567, 569, 570, 571, 570, 571, 571, 573, 574, 575, 574, 575, 575, 577, 578, 579, 578, 579, 579, 581, 582, 583, 582, 583, 583, 585, 586, 587, 586, 587, 587, 589, 590, 591, 590, 591, 591, 593, 594, 595, 594, 595, 595, 597, 598, 599, 598, 599, 599, 601, 602, 603, 602, 603, 603, 605, 606, 607, 606, 607, 607, 609, 610, 611, 610, 611, 611, 613, 614, 615, 614, 615, 615, 617, 618, 619, 618, 619, 619, 621, 622, 623, 622, 623, 623, 625, 626, 627, 626, 627, 627, 629, 630, 631, 630, 631, 631, 633, 634, 635, 634, 635, 635, 637, 638, 639, 638, 639, 639, 641, 642, 643, 642, 643, 643, 645, 646, 647, 646, 647, 647, 649, 650, 651, 650, 651, 651, 653, 654, 655, 654, 655, 655, 657, 658, 659, 658, 659, 659, 661, 662, 663, 662, 663, 663, 665, 666, 667, 666, 667, 667, 669, 670, 671, 670, 671, 671, 673, 674, 675, 674, 675, 675, 677, 678, 679, 678, 679, 679, 681, 682, 683, 682, 683, 683, 685, 686, 687, 686, 687, 687, 689, 690, 691, 690, 691, 691, 693, 694, 695, 694, 695, 695, 697, 698, 699, 698, 699, 699, 701, 702, 703, 702, 703, 703, 705, 706, 707, 706, 707, 707, 709, 710, 711, 710, 711, 711, 713, 714, 715, 714, 715, 715, 717, 718, 719, 718, 719, 719, 721, 722, 723, 722, 723, 723, 725, 726, 727, 726, 727, 727, 729, 730, 731, 730, 731, 731, 733, 734, 735, 734, 735, 735, 737, 738, 739, 738, 739, 739, 741, 742, 743, 742, 743, 743, 745, 746, 747, 746, 747, 747, 749, 750, 751, 750, 751, 751, 753, 754, 755, 754, 755, 755, 757, 758, 759, 758, 759, 759, 761, 762, 763, 762, 763, 763, 765, 766, 767, 766, 767, 767, 769, 770, 771, 770, 771, 771, 773, 774, 775, 774, 775, 775, 777, 778, 779, 778, 779, 779, 781, 782, 783, 782, 783, 783, 785, 786, 787, 786, 787, 787, 789, 790, 791, 790, 791, 791, 793, 794, 795, 794, 795, 795, 797, 798, 799, 798, 799, 799, 801, 802, 803, 802, 803, 803, 805, 806, 807, 806, 807, 807, 809, 810, 811, 810, 811, 811, 813, 814, 815, 814, 815, 815, 817, 818, 819, 818, 819, 819, 821, 822, 823, 822, 823, 823, 825, 826, 827, 826, 827, 827, 829, 830, 831, 830, 831, 831, 833, 834, 835, 834, 835, 835, 837, 838, 839, 838, 839, 839, 841, 842, 843, 842, 843, 843, 845, 846, 847, 846, 847, 847, 849, 850, 851, 850, 851, 851, 853, 854, 855, 854, 855, 855, 857, 858, 859, 858, 859, 859, 861, 862, 863, 862, 863, 863, 865, 866, 867, 866, 867, 867, 869, 870, 871, 870, 871, 871, 873, 874, 875, 874, 875, 875, 877, 878, 879, 878, 879, 879, 881, 882, 883, 882, 883, 883, 885, 886, 887, 886, 887, 887, 889, 890, 891, 890, 891, 891, 893, 894, 895, 894, 895, 895, 897, 898, 899, 898, 899, 899, 901, 902, 903, 902, 903, 903, 905, 906, 907, 906, 907, 907, 909, 910, 911, 910, 911, 911, 913, 914, 915, 914, 915, 915, 917, 918, 919, 918, 919, 919, 921, 922, 923, 922, 923, 923, 925, 926, 927, 926, 927, 927, 929, 930, 931, 930, 931, 931, 933, 934, 935, 934, 935, 935, 937, 938, 939, 938, 939, 939, 941, 942, 943, 942, 943, 943, 945, 946, 947, 946, 947, 947, 949, 950, 951, 950, 951, 951, 953, 954, 955, 954, 955, 955, 957, 958, 959, 958, 959, 959, 961, 962, 963, 962, 963, 963, 965, 966, 967, 966, 967, 967, 969, 970, 971, 970, 971, 971, 973, 974, 975, 974, 975, 975, 977, 978, 979, 978, 979, 979, 981, 982, 983, 982, 983, 983, 985, 986, 987, 986, 987, 987, 989, 990, 991, 990, 991, 991, 993, 994, 995, 994, 995, 995, 997, 998, 999, 998, 999, 999 }

    Returns: {0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1 }

  147. 1000

    {2, 3, 2, 3, 1, 3, 6, 5, 7, 6, 7, 7, 11, 10, 10, 11, 9, 11, 15, 15, 15, 14, 13, 14, 19, 18, 17, 19, 19, 18, 21, 23, 23, 22, 23, 22, 26, 27, 27, 25, 26, 27, 30, 29, 31, 31, 31, 30, 34, 34, 35, 35, 33, 35, 39, 39, 39, 38, 37, 38, 41, 42, 42, 43, 43, 43, 46, 47, 47, 46, 45, 47, 50, 50, 51, 51, 49, 51, 54, 54, 53, 55, 55, 55, 58, 59, 57, 58, 59, 59, 63, 62, 61, 63, 62, 63, 66, 65, 67, 66, 67, 67, 71, 71, 70, 70, 71, 69, 74, 74, 75, 75, 75, 73, 79, 77, 79, 79, 78, 78, 82, 83, 82, 81, 83, 83, 87, 85, 87, 86, 87, 86, 90, 91, 90, 91, 89, 91, 95, 94, 93, 95, 95, 94, 97, 98, 99, 99, 99, 98, 103, 102, 103, 102, 103, 101, 107, 107, 107, 105, 106, 106, 109, 110, 111, 110, 111, 111, 115, 114, 114, 115, 115, 113, 119, 119, 119, 118, 118, 117, 123, 122, 122, 121, 123, 123, 126, 127, 127, 125, 127, 126, 131, 130, 131, 130, 129, 131, 133, 134, 135, 135, 134, 135, 138, 139, 137, 139, 139, 138, 142, 143, 143, 143, 141, 142, 147, 146, 147, 145, 147, 146, 151, 150, 151, 151, 149, 150, 155, 154, 155, 154, 153, 155, 159, 157, 158, 159, 158, 159, 163, 162, 163, 161, 163, 162, 166, 166, 167, 167, 167, 165, 171, 171, 169, 170, 170, 171, 175, 175, 174, 175, 173, 174, 179, 179, 179, 178, 177, 178, 182, 183, 183, 182, 183, 181, 187, 187, 187, 186, 186, 185, 190, 191, 191, 190, 191, 189, 195, 194, 195, 194, 195, 193, 199, 198, 199, 197, 198, 199, 201, 203, 203, 203, 202, 202, 207, 206, 207, 206, 207, 205, 210, 211, 210, 209, 211, 211, 215, 214, 215, 215, 213, 214, 218, 219, 219, 219, 217, 218, 222, 222, 223, 223, 221, 223, 227, 226, 227, 225, 227, 226, 231, 230, 231, 229, 230, 231, 234, 235, 233, 234, 235, 235, 237, 238, 238, 239, 239, 239, 243, 243, 242, 242, 241, 243, 246, 246, 247, 247, 247, 245, 251, 251, 249, 251, 250, 250, 253, 255, 254, 255, 254, 255, 259, 258, 259, 258, 257, 259, 261, 263, 263, 262, 263, 262, 265, 266, 266, 267, 267, 267, 270, 270, 271, 271, 269, 271, 274, 274, 275, 273, 275, 275, 278, 279, 279, 278, 277, 279, 283, 283, 282, 282, 281, 283, 287, 287, 286, 286, 285, 287, 291, 291, 290, 289, 290, 291, 295, 295, 294, 293, 295, 294, 298, 298, 299, 299, 297, 299, 303, 302, 303, 301, 303, 302, 305, 307, 307, 307, 306, 306, 309, 311, 310, 310, 311, 311, 315, 315, 314, 313, 314, 315, 319, 319, 319, 318, 318, 317, 322, 322, 323, 323, 323, 321, 326, 327, 327, 326, 325, 327, 329, 331, 331, 330, 331, 330, 335, 333, 334, 335, 334, 335, 339, 339, 339, 337, 338, 338, 342, 341, 343, 343, 343, 342, 347, 345, 346, 346, 347, 347, 351, 349, 351, 350, 351, 350, 355, 354, 353, 355, 355, 354, 358, 359, 357, 359, 359, 358, 362, 363, 363, 362, 361, 363, 366, 366, 365, 367, 367, 367, 371, 371, 370, 371, 370, 369, 373, 374, 375, 374, 375, 375, 379, 378, 379, 379, 378, 377, 382, 382, 381, 383, 383, 383, 385, 386, 386, 387, 387, 387, 391, 390, 389, 391, 390, 391, 394, 395, 394, 393, 395, 395, 398, 398, 399, 399, 399, 397, 402, 403, 403, 402, 401, 403, 406, 405, 407, 407, 407, 406, 409, 410, 411, 411, 411, 410, 415, 415, 414, 414, 415, 413, 419, 418, 417, 419, 418, 419, 423, 422, 423, 421, 423, 422, 427, 426, 426, 425, 427, 427, 431, 430, 431, 431, 429, 430, 435, 435, 435, 434, 434, 433, 438, 437, 439, 438, 439, 439, 443, 442, 441, 443, 442, 443, 447, 446, 447, 446, 445, 447, 451, 450, 451, 449, 450, 451, 454, 455, 455, 453, 454, 455, 459, 459, 458, 458, 459, 457, 462, 462, 461, 463, 463, 463, 466, 467, 467, 467, 466, 465, 469, 471, 470, 471, 471, 470, 475, 475, 475, 473, 474, 474, 479, 478, 478, 479, 479, 477, 482, 481, 483, 483, 483, 482, 487, 487, 487, 486, 485, 486, 489, 490, 491, 491, 490, 491, 493, 495, 495, 495, 494, 494, 499, 498, 497, 498, 499, 499, 503, 502, 503, 502, 503, 501, 507, 505, 507, 506, 506, 507, 511, 511, 509, 510, 511, 510, 515, 515, 514, 513, 515, 514, 519, 518, 519, 518, 517, 519, 523, 521, 523, 522, 522, 523, 526, 527, 525, 527, 527, 526, 531, 531, 530, 530, 529, 531, 534, 535, 535, 534, 533, 535, 539, 537, 539, 538, 539, 538, 543, 543, 541, 542, 542, 543, 547, 545, 547, 547, 546, 546, 550, 550, 551, 551, 551, 549, 554, 555, 553, 554, 555, 555, 558, 557, 558, 559, 559, 559, 563, 562, 561, 563, 562, 563, 567, 567, 565, 566, 567, 566, 570, 571, 571, 571, 569, 570, 575, 575, 574, 574, 575, 573, 577, 578, 578, 579, 579, 579, 581, 582, 582, 583, 583, 583, 587, 586, 587, 585, 587, 586, 589, 591, 591, 591, 590, 590, 594, 595, 595, 593, 594, 595, 597, 599, 599, 598, 599, 598, 601, 603, 603, 602, 603, 602, 607, 607, 607, 606, 606, 605, 611, 610, 609, 610, 611, 611, 615, 614, 615, 615, 614, 613, 617, 619, 618, 619, 619, 618, 623, 621, 622, 623, 622, 623, 626, 627, 626, 627, 625, 627, 629, 630, 630, 631, 631, 631, 634, 635, 633, 635, 634, 635, 637, 638, 639, 639, 638, 639, 641, 643, 643, 643, 642, 642, 645, 646, 646, 647, 647, 647, 650, 649, 650, 651, 651, 651, 655, 655, 653, 655, 654, 654, 657, 659, 659, 658, 659, 658, 663, 661, 662, 662, 663, 663, 667, 667, 666, 667, 666, 665, 670, 670, 671, 671, 671, 669, 673, 674, 675, 675, 675, 674, 679, 678, 677, 678, 679, 679, 683, 683, 682, 681, 683, 682, 685, 687, 687, 686, 687, 686, 689, 690, 690, 691, 691, 691, 694, 695, 695, 693, 694, 695, 699, 699, 699, 697, 698, 698, 701, 702, 703, 703, 702, 703, 705, 707, 707, 707, 706, 706, 711, 709, 711, 710, 711, 710, 715, 714, 714, 713, 715, 715, 717, 719, 719, 719, 718, 718, 723, 723, 722, 722, 723, 721, 726, 727, 727, 727, 726, 725, 731, 731, 731, 730, 729, 730, 733, 734, 735, 735, 735, 734, 739, 738, 737, 739, 739, 738, 743, 743, 742, 743, 741, 742, 747, 746, 745, 747, 746, 747, 750, 751, 751, 751, 749, 750, 753, 754, 754, 755, 755, 755, 759, 757, 759, 758, 759, 758, 763, 762, 761, 763, 763, 762, 766, 767, 767, 765, 767, 766, 771, 770, 770, 771, 769, 771, 775, 775, 774, 773, 775, 774, 778, 779, 778, 779, 779, 777, 783, 782, 782, 783, 783, 781, 785, 787, 787, 786, 786, 787, 790, 791, 791, 790, 789, 791, 794, 794, 795, 795, 793, 795, 798, 797, 799, 799, 798, 799, 801, 802, 803, 803, 802, 803, 805, 807, 806, 807, 807, 806, 811, 810, 811, 811, 810, 809, 813, 814, 815, 814, 815, 815, 817, 818, 819, 819, 818, 819, 823, 821, 822, 823, 822, 823, 826, 827, 826, 827, 827, 825, 831, 831, 831, 830, 829, 830, 834, 835, 835, 835, 833, 834, 839, 839, 837, 838, 838, 839, 842, 841, 843, 843, 843, 842, 847, 847, 845, 847, 846, 846, 850, 849, 851, 851, 850, 851, 853, 854, 855, 854, 855, 855, 857, 858, 858, 859, 859, 859, 861, 863, 863, 862, 863, 862, 866, 865, 867, 867, 866, 867, 871, 870, 871, 869, 870, 871, 875, 874, 875, 875, 873, 874, 878, 877, 879, 879, 879, 878, 883, 881, 883, 883, 882, 882, 885, 886, 887, 886, 887, 887, 891, 891, 890, 891, 889, 890, 895, 893, 894, 895, 895, 894, 899, 898, 899, 898, 897, 899, 903, 902, 901, 902, 903, 903, 907, 907, 906, 905, 907, 906, 910, 911, 911, 911, 910, 909, 914, 913, 915, 915, 914, 915, 918, 919, 919, 918, 917, 919, 923, 922, 922, 923, 921, 923, 927, 925, 927, 927, 926, 926, 930, 931, 930, 931, 929, 931, 934, 933, 935, 934, 935, 935, 937, 938, 938, 939, 939, 939, 943, 943, 942, 941, 942, 943, 947, 947, 945, 946, 947, 946, 950, 951, 950, 951, 949, 951, 953, 955, 955, 954, 955, 954, 959, 958, 959, 957, 959, 958, 962, 963, 961, 963, 962, 963, 967, 967, 966, 966, 967, 965, 970, 971, 969, 971, 971, 970, 975, 975, 974, 974, 973, 975, 979, 977, 979, 978, 978, 979, 983, 982, 983, 983, 982, 981, 986, 986, 987, 987, 987, 985, 991, 989, 991, 990, 990, 991, 995, 995, 993, 994, 995, 994, 998, 998, 999, 999, 999, 997 }

    {1, 0, 0, 2, 0, 1, 5, 4, 6, 4, 5, 4, 9, 9, 8, 10, 8, 8, 12, 13, 14, 13, 12, 12, 17, 16, 16, 18, 16, 17, 20, 22, 21, 20, 20, 21, 24, 24, 26, 24, 25, 25, 29, 28, 30, 28, 29, 28, 32, 33, 34, 32, 32, 33, 37, 36, 38, 37, 36, 36, 40, 41, 40, 42, 40, 41, 44, 44, 46, 45, 44, 45, 48, 49, 49, 48, 48, 50, 53, 52, 52, 52, 54, 53, 56, 57, 56, 57, 56, 58, 61, 60, 60, 62, 61, 60, 65, 64, 66, 64, 65, 64, 70, 68, 68, 69, 69, 68, 72, 73, 73, 74, 72, 72, 78, 76, 76, 77, 76, 77, 80, 80, 81, 80, 81, 82, 84, 84, 86, 84, 85, 85, 89, 90, 88, 88, 88, 89, 93, 93, 92, 94, 92, 92, 96, 97, 97, 96, 98, 96, 101, 100, 100, 101, 102, 100, 104, 105, 106, 104, 105, 104, 108, 108, 110, 109, 108, 109, 112, 112, 113, 114, 113, 112, 117, 118, 116, 116, 117, 116, 122, 120, 121, 120, 120, 121, 124, 124, 125, 124, 126, 125, 130, 129, 128, 128, 128, 129, 132, 132, 133, 134, 133, 132, 137, 138, 136, 136, 137, 136, 141, 141, 142, 140, 140, 140, 144, 145, 145, 144, 146, 144, 149, 148, 148, 150, 148, 149, 154, 153, 153, 152, 152, 152, 156, 156, 157, 157, 156, 158, 161, 160, 160, 160, 162, 161, 164, 165, 165, 164, 166, 164, 168, 170, 168, 169, 168, 169, 174, 173, 173, 172, 172, 172, 178, 176, 177, 177, 176, 176, 181, 181, 180, 180, 182, 180, 185, 184, 186, 185, 184, 184, 189, 190, 189, 188, 188, 188, 192, 193, 194, 192, 193, 192, 197, 196, 198, 196, 197, 196, 200, 201, 200, 202, 201, 200, 204, 204, 206, 205, 205, 204, 209, 209, 208, 208, 210, 208, 213, 212, 214, 212, 212, 213, 217, 217, 218, 216, 216, 216, 221, 220, 222, 220, 220, 221, 226, 225, 225, 224, 224, 224, 229, 228, 230, 228, 229, 228, 232, 233, 232, 233, 234, 232, 236, 237, 236, 236, 238, 237, 240, 242, 240, 241, 240, 241, 244, 245, 245, 246, 244, 244, 250, 248, 248, 249, 249, 248, 252, 252, 253, 253, 252, 254, 258, 257, 257, 256, 256, 256, 260, 260, 261, 260, 262, 261, 264, 264, 265, 266, 264, 265, 269, 268, 268, 269, 268, 270, 272, 273, 273, 272, 274, 272, 276, 276, 277, 277, 276, 278, 281, 280, 281, 280, 280, 282, 284, 285, 285, 284, 284, 286, 290, 288, 289, 288, 288, 289, 294, 292, 292, 292, 293, 293, 297, 296, 298, 297, 296, 296, 302, 300, 301, 300, 300, 301, 304, 304, 305, 306, 304, 305, 308, 308, 308, 309, 310, 309, 312, 314, 313, 312, 312, 313, 316, 318, 317, 316, 317, 316, 321, 320, 322, 321, 320, 320, 324, 324, 326, 325, 324, 325, 328, 329, 328, 328, 330, 329, 333, 332, 332, 332, 333, 334, 336, 338, 337, 336, 337, 336, 341, 340, 342, 340, 341, 340, 346, 344, 345, 344, 344, 345, 348, 348, 349, 349, 350, 348, 354, 352, 352, 352, 353, 353, 356, 357, 356, 356, 358, 357, 360, 360, 362, 361, 360, 361, 365, 364, 364, 365, 366, 364, 369, 370, 369, 368, 368, 368, 372, 372, 372, 373, 374, 373, 376, 377, 377, 378, 376, 376, 381, 380, 380, 380, 382, 381, 384, 384, 385, 385, 384, 386, 390, 389, 388, 389, 388, 388, 392, 392, 393, 392, 394, 393, 397, 396, 397, 396, 398, 396, 401, 400, 402, 400, 400, 401, 404, 404, 406, 404, 405, 405, 408, 408, 410, 408, 409, 409, 413, 414, 412, 413, 412, 412, 416, 416, 416, 418, 417, 417, 420, 420, 421, 420, 422, 421, 426, 425, 424, 424, 425, 424, 429, 428, 428, 430, 428, 429, 434, 432, 433, 432, 433, 432, 437, 436, 436, 436, 438, 437, 440, 440, 440, 441, 441, 442, 445, 445, 446, 444, 444, 444, 449, 449, 448, 448, 448, 450, 453, 454, 452, 452, 452, 453, 458, 456, 456, 457, 457, 456, 461, 460, 460, 462, 461, 460, 464, 465, 464, 466, 465, 464, 468, 468, 469, 470, 469, 468, 474, 472, 473, 472, 473, 472, 476, 477, 476, 477, 478, 476, 480, 480, 480, 481, 482, 481, 484, 485, 486, 485, 484, 484, 488, 488, 488, 490, 489, 489, 492, 492, 493, 494, 492, 493, 498, 497, 496, 496, 497, 496, 500, 501, 501, 500, 502, 500, 506, 504, 505, 504, 505, 504, 510, 508, 508, 508, 509, 509, 513, 514, 512, 512, 512, 513, 516, 516, 518, 517, 516, 517, 521, 520, 520, 520, 521, 522, 524, 525, 524, 524, 526, 525, 530, 528, 528, 529, 528, 529, 533, 532, 533, 532, 532, 534, 536, 536, 538, 537, 537, 536, 540, 541, 540, 540, 541, 542, 546, 544, 545, 544, 545, 544, 549, 548, 549, 548, 550, 548, 553, 552, 552, 552, 553, 554, 556, 556, 557, 557, 556, 558, 560, 561, 560, 561, 560, 562, 564, 566, 564, 565, 565, 564, 569, 569, 568, 570, 568, 568, 574, 572, 572, 573, 573, 572, 576, 576, 577, 577, 576, 578, 580, 581, 580, 581, 580, 582, 584, 584, 585, 584, 586, 585, 588, 588, 589, 590, 588, 589, 593, 593, 592, 592, 592, 594, 596, 597, 596, 596, 598, 597, 600, 602, 601, 600, 600, 601, 605, 606, 604, 605, 604, 604, 608, 608, 608, 609, 610, 609, 612, 612, 613, 614, 613, 612, 616, 616, 616, 617, 618, 617, 622, 620, 620, 621, 621, 620, 624, 625, 625, 626, 624, 624, 628, 629, 628, 628, 629, 630, 632, 634, 632, 632, 633, 633, 636, 636, 637, 636, 637, 638, 640, 640, 641, 642, 641, 640, 644, 644, 645, 646, 645, 644, 648, 648, 649, 650, 649, 648, 654, 652, 652, 653, 653, 652, 656, 658, 656, 657, 657, 656, 661, 660, 661, 660, 662, 660, 665, 666, 665, 664, 664, 664, 669, 668, 668, 669, 670, 668, 672, 672, 672, 674, 673, 673, 677, 676, 676, 677, 676, 678, 682, 681, 681, 680, 680, 680, 684, 686, 685, 684, 684, 685, 688, 688, 689, 688, 690, 689, 693, 694, 693, 692, 692, 692, 698, 696, 697, 696, 697, 696, 700, 701, 700, 702, 700, 701, 704, 705, 704, 706, 705, 704, 708, 708, 709, 709, 710, 708, 714, 713, 712, 712, 713, 712, 716, 717, 716, 718, 717, 716, 721, 722, 720, 721, 720, 720, 724, 726, 725, 724, 725, 724, 730, 728, 729, 728, 728, 729, 732, 733, 733, 734, 732, 732, 736, 736, 736, 737, 738, 737, 742, 741, 741, 740, 740, 740, 746, 745, 744, 744, 744, 745, 749, 750, 749, 748, 748, 748, 752, 753, 752, 753, 752, 754, 757, 756, 756, 756, 758, 757, 761, 761, 760, 760, 762, 760, 765, 764, 765, 764, 766, 764, 768, 769, 768, 769, 768, 770, 774, 772, 773, 772, 773, 772, 777, 778, 776, 776, 777, 776, 782, 781, 780, 780, 781, 780, 784, 784, 785, 784, 785, 786, 789, 789, 790, 788, 788, 788, 792, 793, 794, 793, 792, 792, 797, 796, 798, 796, 796, 797, 800, 800, 800, 802, 801, 801, 804, 804, 804, 806, 805, 805, 808, 809, 810, 809, 808, 808, 812, 812, 813, 813, 812, 814, 816, 817, 816, 817, 816, 818, 822, 820, 820, 820, 821, 821, 824, 825, 825, 826, 824, 824, 830, 828, 829, 829, 828, 828, 832, 833, 832, 834, 832, 833, 838, 836, 836, 836, 837, 837, 841, 840, 841, 842, 840, 840, 846, 844, 844, 845, 845, 844, 849, 848, 849, 848, 848, 850, 852, 852, 852, 853, 853, 854, 856, 857, 856, 858, 857, 856, 860, 861, 862, 860, 860, 861, 865, 864, 864, 865, 864, 866, 868, 869, 870, 868, 868, 869, 873, 873, 872, 874, 872, 872, 877, 876, 876, 878, 877, 876, 881, 880, 880, 882, 880, 881, 884, 885, 885, 884, 886, 884, 890, 889, 889, 888, 888, 888, 894, 892, 892, 892, 893, 893, 896, 897, 898, 896, 896, 897, 901, 900, 900, 901, 900, 902, 904, 906, 905, 904, 905, 904, 908, 908, 910, 909, 909, 908, 912, 912, 914, 912, 913, 913, 916, 918, 917, 917, 916, 916, 922, 921, 920, 920, 920, 921, 924, 924, 926, 925, 924, 925, 928, 930, 929, 928, 928, 929, 933, 932, 933, 932, 932, 934, 936, 936, 937, 936, 938, 937, 940, 941, 940, 940, 941, 942, 945, 944, 944, 944, 946, 945, 948, 950, 949, 948, 948, 949, 952, 952, 953, 952, 954, 953, 956, 956, 958, 956, 957, 957, 960, 961, 960, 960, 961, 962, 965, 966, 964, 965, 964, 964, 968, 970, 968, 969, 968, 969, 973, 972, 973, 972, 972, 974, 978, 976, 976, 977, 976, 977, 980, 980, 981, 982, 981, 980, 984, 985, 985, 984, 986, 984, 988, 988, 990, 988, 989, 989, 993, 994, 992, 992, 992, 993, 996, 997, 996, 998, 997, 996 }

    Returns: {0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0 }

  148. 996

    {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 0, 1, 2, 6, 7, 8, 12, 13, 14, 18, 19, 20, 24, 25, 26, 30, 31, 32, 36, 37, 38, 42, 43, 44, 48, 49, 50, 54, 55, 56, 60, 61, 62, 66, 67, 68, 72, 73, 74, 78, 79, 80, 84, 85, 86, 90, 91, 92, 96, 97, 98, 102, 103, 104, 108, 109, 110, 114, 115, 116, 120, 121, 122, 126, 127, 128, 132, 133, 134, 138, 139, 140, 144, 145, 146, 150, 151, 152, 156, 157, 158, 162, 163, 164, 168, 169, 170, 174, 175, 176, 180, 181, 182, 186, 187, 188, 192, 193, 194, 198, 199, 200, 204, 205, 206, 210, 211, 212, 216, 217, 218, 222, 223, 224, 228, 229, 230, 234, 235, 236, 240, 241, 242, 246, 247, 248, 252, 253, 254, 258, 259, 260, 264, 265, 266, 270, 271, 272, 276, 277, 278, 282, 283, 284, 288, 289, 290, 294, 295, 296, 300, 301, 302, 306, 307, 308, 312, 313, 314, 318, 319, 320, 324, 325, 326, 330, 331, 332, 336, 337, 338, 342, 343, 344, 348, 349, 350, 354, 355, 356, 360, 361, 362, 366, 367, 368, 372, 373, 374, 378, 379, 380, 384, 385, 386, 390, 391, 392, 396, 397, 398, 402, 403, 404, 408, 409, 410, 414, 415, 416, 420, 421, 422, 426, 427, 428, 432, 433, 434, 438, 439, 440, 444, 445, 446, 450, 451, 452, 456, 457, 458, 462, 463, 464, 468, 469, 470, 474, 475, 476, 480, 481, 482, 486, 487, 488, 492, 493, 494, 498, 499, 500, 504, 505, 506, 510, 511, 512, 516, 517, 518, 522, 523, 524, 528, 529, 530, 534, 535, 536, 540, 541, 542, 546, 547, 548, 552, 553, 554, 558, 559, 560, 564, 565, 566, 570, 571, 572, 576, 577, 578, 582, 583, 584, 588, 589, 590, 594, 595, 596, 600, 601, 602, 606, 607, 608, 612, 613, 614, 618, 619, 620, 624, 625, 626, 630, 631, 632, 636, 637, 638, 642, 643, 644, 648, 649, 650, 654, 655, 656, 660, 661, 662, 666, 667, 668, 672, 673, 674, 678, 679, 680, 684, 685, 686, 690, 691, 692, 696, 697, 698, 702, 703, 704, 708, 709, 710, 714, 715, 716, 720, 721, 722, 726, 727, 728, 732, 733, 734, 738, 739, 740, 744, 745, 746, 750, 751, 752, 756, 757, 758, 762, 763, 764, 768, 769, 770, 774, 775, 776, 780, 781, 782, 786, 787, 788, 792, 793, 794, 798, 799, 800, 804, 805, 806, 810, 811, 812, 816, 817, 818, 822, 823, 824, 828, 829, 830, 834, 835, 836, 840, 841, 842, 846, 847, 848, 852, 853, 854, 858, 859, 860, 864, 865, 866, 870, 871, 872, 876, 877, 878, 882, 883, 884, 888, 889, 890, 894, 895, 896, 900, 901, 902, 906, 907, 908, 912, 913, 914, 918, 919, 920, 924, 925, 926, 930, 931, 932, 936, 937, 938, 942, 943, 944, 948, 949, 950, 954, 955, 956, 960, 961, 962, 966, 967, 968, 972, 973, 974, 978, 979, 980, 984, 985, 986, 990, 991, 992 }

    {1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9, 13, 14, 12, 16, 17, 15, 19, 20, 18, 22, 23, 21, 25, 26, 24, 28, 29, 27, 31, 32, 30, 34, 35, 33, 37, 38, 36, 40, 41, 39, 43, 44, 42, 46, 47, 45, 49, 50, 48, 52, 53, 51, 55, 56, 54, 58, 59, 57, 61, 62, 60, 64, 65, 63, 67, 68, 66, 70, 71, 69, 73, 74, 72, 76, 77, 75, 79, 80, 78, 82, 83, 81, 85, 86, 84, 88, 89, 87, 91, 92, 90, 94, 95, 93, 97, 98, 96, 100, 101, 99, 103, 104, 102, 106, 107, 105, 109, 110, 108, 112, 113, 111, 115, 116, 114, 118, 119, 117, 121, 122, 120, 124, 125, 123, 127, 128, 126, 130, 131, 129, 133, 134, 132, 136, 137, 135, 139, 140, 138, 142, 143, 141, 145, 146, 144, 148, 149, 147, 151, 152, 150, 154, 155, 153, 157, 158, 156, 160, 161, 159, 163, 164, 162, 166, 167, 165, 169, 170, 168, 172, 173, 171, 175, 176, 174, 178, 179, 177, 181, 182, 180, 184, 185, 183, 187, 188, 186, 190, 191, 189, 193, 194, 192, 196, 197, 195, 199, 200, 198, 202, 203, 201, 205, 206, 204, 208, 209, 207, 211, 212, 210, 214, 215, 213, 217, 218, 216, 220, 221, 219, 223, 224, 222, 226, 227, 225, 229, 230, 228, 232, 233, 231, 235, 236, 234, 238, 239, 237, 241, 242, 240, 244, 245, 243, 247, 248, 246, 250, 251, 249, 253, 254, 252, 256, 257, 255, 259, 260, 258, 262, 263, 261, 265, 266, 264, 268, 269, 267, 271, 272, 270, 274, 275, 273, 277, 278, 276, 280, 281, 279, 283, 284, 282, 286, 287, 285, 289, 290, 288, 292, 293, 291, 295, 296, 294, 298, 299, 297, 301, 302, 300, 304, 305, 303, 307, 308, 306, 310, 311, 309, 313, 314, 312, 316, 317, 315, 319, 320, 318, 322, 323, 321, 325, 326, 324, 328, 329, 327, 331, 332, 330, 334, 335, 333, 337, 338, 336, 340, 341, 339, 343, 344, 342, 346, 347, 345, 349, 350, 348, 352, 353, 351, 355, 356, 354, 358, 359, 357, 361, 362, 360, 364, 365, 363, 367, 368, 366, 370, 371, 369, 373, 374, 372, 376, 377, 375, 379, 380, 378, 382, 383, 381, 385, 386, 384, 388, 389, 387, 391, 392, 390, 394, 395, 393, 397, 398, 396, 400, 401, 399, 403, 404, 402, 406, 407, 405, 409, 410, 408, 412, 413, 411, 415, 416, 414, 418, 419, 417, 421, 422, 420, 424, 425, 423, 427, 428, 426, 430, 431, 429, 433, 434, 432, 436, 437, 435, 439, 440, 438, 442, 443, 441, 445, 446, 444, 448, 449, 447, 451, 452, 450, 454, 455, 453, 457, 458, 456, 460, 461, 459, 463, 464, 462, 466, 467, 465, 469, 470, 468, 472, 473, 471, 475, 476, 474, 478, 479, 477, 481, 482, 480, 484, 485, 483, 487, 488, 486, 490, 491, 489, 493, 494, 492, 496, 497, 495, 499, 500, 498, 502, 503, 501, 505, 506, 504, 508, 509, 507, 511, 512, 510, 514, 515, 513, 517, 518, 516, 520, 521, 519, 523, 524, 522, 526, 527, 525, 529, 530, 528, 532, 533, 531, 535, 536, 534, 538, 539, 537, 541, 542, 540, 544, 545, 543, 547, 548, 546, 550, 551, 549, 553, 554, 552, 556, 557, 555, 559, 560, 558, 562, 563, 561, 565, 566, 564, 568, 569, 567, 571, 572, 570, 574, 575, 573, 577, 578, 576, 580, 581, 579, 583, 584, 582, 586, 587, 585, 589, 590, 588, 592, 593, 591, 595, 596, 594, 598, 599, 597, 601, 602, 600, 604, 605, 603, 607, 608, 606, 610, 611, 609, 613, 614, 612, 616, 617, 615, 619, 620, 618, 622, 623, 621, 625, 626, 624, 628, 629, 627, 631, 632, 630, 634, 635, 633, 637, 638, 636, 640, 641, 639, 643, 644, 642, 646, 647, 645, 649, 650, 648, 652, 653, 651, 655, 656, 654, 658, 659, 657, 661, 662, 660, 664, 665, 663, 667, 668, 666, 670, 671, 669, 673, 674, 672, 676, 677, 675, 679, 680, 678, 682, 683, 681, 685, 686, 684, 688, 689, 687, 691, 692, 690, 694, 695, 693, 697, 698, 696, 700, 701, 699, 703, 704, 702, 706, 707, 705, 709, 710, 708, 712, 713, 711, 715, 716, 714, 718, 719, 717, 721, 722, 720, 724, 725, 723, 727, 728, 726, 730, 731, 729, 733, 734, 732, 736, 737, 735, 739, 740, 738, 742, 743, 741, 745, 746, 744, 748, 749, 747, 751, 752, 750, 754, 755, 753, 757, 758, 756, 760, 761, 759, 763, 764, 762, 766, 767, 765, 769, 770, 768, 772, 773, 771, 775, 776, 774, 778, 779, 777, 781, 782, 780, 784, 785, 783, 787, 788, 786, 790, 791, 789, 793, 794, 792, 796, 797, 795, 799, 800, 798, 802, 803, 801, 805, 806, 804, 808, 809, 807, 811, 812, 810, 814, 815, 813, 817, 818, 816, 820, 821, 819, 823, 824, 822, 826, 827, 825, 829, 830, 828, 832, 833, 831, 835, 836, 834, 838, 839, 837, 841, 842, 840, 844, 845, 843, 847, 848, 846, 850, 851, 849, 853, 854, 852, 856, 857, 855, 859, 860, 858, 862, 863, 861, 865, 866, 864, 868, 869, 867, 871, 872, 870, 874, 875, 873, 877, 878, 876, 880, 881, 879, 883, 884, 882, 886, 887, 885, 889, 890, 888, 892, 893, 891, 895, 896, 894, 898, 899, 897, 901, 902, 900, 904, 905, 903, 907, 908, 906, 910, 911, 909, 913, 914, 912, 916, 917, 915, 919, 920, 918, 922, 923, 921, 925, 926, 924, 928, 929, 927, 931, 932, 930, 934, 935, 933, 937, 938, 936, 940, 941, 939, 943, 944, 942, 946, 947, 945, 949, 950, 948, 952, 953, 951, 955, 956, 954, 958, 959, 957, 961, 962, 960, 964, 965, 963, 967, 968, 966, 970, 971, 969, 973, 974, 972, 976, 977, 975, 979, 980, 978, 982, 983, 981, 985, 986, 984, 988, 989, 987, 991, 992, 990, 994, 995, 993, 3, 4, 5, 9, 10, 11, 15, 16, 17, 21, 22, 23, 27, 28, 29, 33, 34, 35, 39, 40, 41, 45, 46, 47, 51, 52, 53, 57, 58, 59, 63, 64, 65, 69, 70, 71, 75, 76, 77, 81, 82, 83, 87, 88, 89, 93, 94, 95, 99, 100, 101, 105, 106, 107, 111, 112, 113, 117, 118, 119, 123, 124, 125, 129, 130, 131, 135, 136, 137, 141, 142, 143, 147, 148, 149, 153, 154, 155, 159, 160, 161, 165, 166, 167, 171, 172, 173, 177, 178, 179, 183, 184, 185, 189, 190, 191, 195, 196, 197, 201, 202, 203, 207, 208, 209, 213, 214, 215, 219, 220, 221, 225, 226, 227, 231, 232, 233, 237, 238, 239, 243, 244, 245, 249, 250, 251, 255, 256, 257, 261, 262, 263, 267, 268, 269, 273, 274, 275, 279, 280, 281, 285, 286, 287, 291, 292, 293, 297, 298, 299, 303, 304, 305, 309, 310, 311, 315, 316, 317, 321, 322, 323, 327, 328, 329, 333, 334, 335, 339, 340, 341, 345, 346, 347, 351, 352, 353, 357, 358, 359, 363, 364, 365, 369, 370, 371, 375, 376, 377, 381, 382, 383, 387, 388, 389, 393, 394, 395, 399, 400, 401, 405, 406, 407, 411, 412, 413, 417, 418, 419, 423, 424, 425, 429, 430, 431, 435, 436, 437, 441, 442, 443, 447, 448, 449, 453, 454, 455, 459, 460, 461, 465, 466, 467, 471, 472, 473, 477, 478, 479, 483, 484, 485, 489, 490, 491, 495, 496, 497, 501, 502, 503, 507, 508, 509, 513, 514, 515, 519, 520, 521, 525, 526, 527, 531, 532, 533, 537, 538, 539, 543, 544, 545, 549, 550, 551, 555, 556, 557, 561, 562, 563, 567, 568, 569, 573, 574, 575, 579, 580, 581, 585, 586, 587, 591, 592, 593, 597, 598, 599, 603, 604, 605, 609, 610, 611, 615, 616, 617, 621, 622, 623, 627, 628, 629, 633, 634, 635, 639, 640, 641, 645, 646, 647, 651, 652, 653, 657, 658, 659, 663, 664, 665, 669, 670, 671, 675, 676, 677, 681, 682, 683, 687, 688, 689, 693, 694, 695, 699, 700, 701, 705, 706, 707, 711, 712, 713, 717, 718, 719, 723, 724, 725, 729, 730, 731, 735, 736, 737, 741, 742, 743, 747, 748, 749, 753, 754, 755, 759, 760, 761, 765, 766, 767, 771, 772, 773, 777, 778, 779, 783, 784, 785, 789, 790, 791, 795, 796, 797, 801, 802, 803, 807, 808, 809, 813, 814, 815, 819, 820, 821, 825, 826, 827, 831, 832, 833, 837, 838, 839, 843, 844, 845, 849, 850, 851, 855, 856, 857, 861, 862, 863, 867, 868, 869, 873, 874, 875, 879, 880, 881, 885, 886, 887, 891, 892, 893, 897, 898, 899, 903, 904, 905, 909, 910, 911, 915, 916, 917, 921, 922, 923, 927, 928, 929, 933, 934, 935, 939, 940, 941, 945, 946, 947, 951, 952, 953, 957, 958, 959, 963, 964, 965, 969, 970, 971, 975, 976, 977, 981, 982, 983, 987, 988, 989, 993, 994, 995 }

    Returns: {0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1 }

  149. 1000

    {1, 2, 2, 3, 3, 3, 5, 6, 6, 7, 7, 7, 9, 10, 10, 11, 11, 11, 13, 14, 14, 15, 15, 15, 17, 18, 18, 19, 19, 19, 21, 22, 22, 23, 23, 23, 25, 26, 26, 27, 27, 27, 29, 30, 30, 31, 31, 31, 33, 34, 34, 35, 35, 35, 37, 38, 38, 39, 39, 39, 41, 42, 42, 43, 43, 43, 45, 46, 46, 47, 47, 47, 49, 50, 50, 51, 51, 51, 53, 54, 54, 55, 55, 55, 57, 58, 58, 59, 59, 59, 61, 62, 62, 63, 63, 63, 65, 66, 66, 67, 67, 67, 69, 70, 70, 71, 71, 71, 73, 74, 74, 75, 75, 75, 77, 78, 78, 79, 79, 79, 81, 82, 82, 83, 83, 83, 85, 86, 86, 87, 87, 87, 89, 90, 90, 91, 91, 91, 93, 94, 94, 95, 95, 95, 97, 98, 98, 99, 99, 99, 101, 102, 102, 103, 103, 103, 105, 106, 106, 107, 107, 107, 109, 110, 110, 111, 111, 111, 113, 114, 114, 115, 115, 115, 117, 118, 118, 119, 119, 119, 121, 122, 122, 123, 123, 123, 125, 126, 126, 127, 127, 127, 129, 130, 130, 131, 131, 131, 133, 134, 134, 135, 135, 135, 137, 138, 138, 139, 139, 139, 141, 142, 142, 143, 143, 143, 145, 146, 146, 147, 147, 147, 149, 150, 150, 151, 151, 151, 153, 154, 154, 155, 155, 155, 157, 158, 158, 159, 159, 159, 161, 162, 162, 163, 163, 163, 165, 166, 166, 167, 167, 167, 169, 170, 170, 171, 171, 171, 173, 174, 174, 175, 175, 175, 177, 178, 178, 179, 179, 179, 181, 182, 182, 183, 183, 183, 185, 186, 186, 187, 187, 187, 189, 190, 190, 191, 191, 191, 193, 194, 194, 195, 195, 195, 197, 198, 198, 199, 199, 199, 201, 202, 202, 203, 203, 203, 205, 206, 206, 207, 207, 207, 209, 210, 210, 211, 211, 211, 213, 214, 214, 215, 215, 215, 217, 218, 218, 219, 219, 219, 221, 222, 222, 223, 223, 223, 225, 226, 226, 227, 227, 227, 229, 230, 230, 231, 231, 231, 233, 234, 234, 235, 235, 235, 237, 238, 238, 239, 239, 239, 241, 242, 242, 243, 243, 243, 245, 246, 246, 247, 247, 247, 249, 250, 250, 251, 251, 251, 253, 254, 254, 255, 255, 255, 257, 258, 258, 259, 259, 259, 261, 262, 262, 263, 263, 263, 265, 266, 266, 267, 267, 267, 269, 270, 270, 271, 271, 271, 273, 274, 274, 275, 275, 275, 277, 278, 278, 279, 279, 279, 281, 282, 282, 283, 283, 283, 285, 286, 286, 287, 287, 287, 289, 290, 290, 291, 291, 291, 293, 294, 294, 295, 295, 295, 297, 298, 298, 299, 299, 299, 301, 302, 302, 303, 303, 303, 305, 306, 306, 307, 307, 307, 309, 310, 310, 311, 311, 311, 313, 314, 314, 315, 315, 315, 317, 318, 318, 319, 319, 319, 321, 322, 322, 323, 323, 323, 325, 326, 326, 327, 327, 327, 329, 330, 330, 331, 331, 331, 333, 334, 334, 335, 335, 335, 337, 338, 338, 339, 339, 339, 341, 342, 342, 343, 343, 343, 345, 346, 346, 347, 347, 347, 349, 350, 350, 351, 351, 351, 353, 354, 354, 355, 355, 355, 357, 358, 358, 359, 359, 359, 361, 362, 362, 363, 363, 363, 365, 366, 366, 367, 367, 367, 369, 370, 370, 371, 371, 371, 373, 374, 374, 375, 375, 375, 377, 378, 378, 379, 379, 379, 381, 382, 382, 383, 383, 383, 385, 386, 386, 387, 387, 387, 389, 390, 390, 391, 391, 391, 393, 394, 394, 395, 395, 395, 397, 398, 398, 399, 399, 399, 401, 402, 402, 403, 403, 403, 405, 406, 406, 407, 407, 407, 409, 410, 410, 411, 411, 411, 413, 414, 414, 415, 415, 415, 417, 418, 418, 419, 419, 419, 421, 422, 422, 423, 423, 423, 425, 426, 426, 427, 427, 427, 429, 430, 430, 431, 431, 431, 433, 434, 434, 435, 435, 435, 437, 438, 438, 439, 439, 439, 441, 442, 442, 443, 443, 443, 445, 446, 446, 447, 447, 447, 449, 450, 450, 451, 451, 451, 453, 454, 454, 455, 455, 455, 457, 458, 458, 459, 459, 459, 461, 462, 462, 463, 463, 463, 465, 466, 466, 467, 467, 467, 469, 470, 470, 471, 471, 471, 473, 474, 474, 475, 475, 475, 477, 478, 478, 479, 479, 479, 481, 482, 482, 483, 483, 483, 485, 486, 486, 487, 487, 487, 489, 490, 490, 491, 491, 491, 493, 494, 494, 495, 495, 495, 497, 498, 498, 499, 499, 499, 501, 502, 502, 503, 503, 503, 505, 506, 506, 507, 507, 507, 509, 510, 510, 511, 511, 511, 513, 514, 514, 515, 515, 515, 517, 518, 518, 519, 519, 519, 521, 522, 522, 523, 523, 523, 525, 526, 526, 527, 527, 527, 529, 530, 530, 531, 531, 531, 533, 534, 534, 535, 535, 535, 537, 538, 538, 539, 539, 539, 541, 542, 542, 543, 543, 543, 545, 546, 546, 547, 547, 547, 549, 550, 550, 551, 551, 551, 553, 554, 554, 555, 555, 555, 557, 558, 558, 559, 559, 559, 561, 562, 562, 563, 563, 563, 565, 566, 566, 567, 567, 567, 569, 570, 570, 571, 571, 571, 573, 574, 574, 575, 575, 575, 577, 578, 578, 579, 579, 579, 581, 582, 582, 583, 583, 583, 585, 586, 586, 587, 587, 587, 589, 590, 590, 591, 591, 591, 593, 594, 594, 595, 595, 595, 597, 598, 598, 599, 599, 599, 601, 602, 602, 603, 603, 603, 605, 606, 606, 607, 607, 607, 609, 610, 610, 611, 611, 611, 613, 614, 614, 615, 615, 615, 617, 618, 618, 619, 619, 619, 621, 622, 622, 623, 623, 623, 625, 626, 626, 627, 627, 627, 629, 630, 630, 631, 631, 631, 633, 634, 634, 635, 635, 635, 637, 638, 638, 639, 639, 639, 641, 642, 642, 643, 643, 643, 645, 646, 646, 647, 647, 647, 649, 650, 650, 651, 651, 651, 653, 654, 654, 655, 655, 655, 657, 658, 658, 659, 659, 659, 661, 662, 662, 663, 663, 663, 665, 666, 666, 667, 667, 667, 669, 670, 670, 671, 671, 671, 673, 674, 674, 675, 675, 675, 677, 678, 678, 679, 679, 679, 681, 682, 682, 683, 683, 683, 685, 686, 686, 687, 687, 687, 689, 690, 690, 691, 691, 691, 693, 694, 694, 695, 695, 695, 697, 698, 698, 699, 699, 699, 701, 702, 702, 703, 703, 703, 705, 706, 706, 707, 707, 707, 709, 710, 710, 711, 711, 711, 713, 714, 714, 715, 715, 715, 717, 718, 718, 719, 719, 719, 721, 722, 722, 723, 723, 723, 725, 726, 726, 727, 727, 727, 729, 730, 730, 731, 731, 731, 733, 734, 734, 735, 735, 735, 737, 738, 738, 739, 739, 739, 741, 742, 742, 743, 743, 743, 745, 746, 746, 747, 747, 747, 749, 750, 750, 751, 751, 751, 753, 754, 754, 755, 755, 755, 757, 758, 758, 759, 759, 759, 761, 762, 762, 763, 763, 763, 765, 766, 766, 767, 767, 767, 769, 770, 770, 771, 771, 771, 773, 774, 774, 775, 775, 775, 777, 778, 778, 779, 779, 779, 781, 782, 782, 783, 783, 783, 785, 786, 786, 787, 787, 787, 789, 790, 790, 791, 791, 791, 793, 794, 794, 795, 795, 795, 797, 798, 798, 799, 799, 799, 801, 802, 802, 803, 803, 803, 805, 806, 806, 807, 807, 807, 809, 810, 810, 811, 811, 811, 813, 814, 814, 815, 815, 815, 817, 818, 818, 819, 819, 819, 821, 822, 822, 823, 823, 823, 825, 826, 826, 827, 827, 827, 829, 830, 830, 831, 831, 831, 833, 834, 834, 835, 835, 835, 837, 838, 838, 839, 839, 839, 841, 842, 842, 843, 843, 843, 845, 846, 846, 847, 847, 847, 849, 850, 850, 851, 851, 851, 853, 854, 854, 855, 855, 855, 857, 858, 858, 859, 859, 859, 861, 862, 862, 863, 863, 863, 865, 866, 866, 867, 867, 867, 869, 870, 870, 871, 871, 871, 873, 874, 874, 875, 875, 875, 877, 878, 878, 879, 879, 879, 881, 882, 882, 883, 883, 883, 885, 886, 886, 887, 887, 887, 889, 890, 890, 891, 891, 891, 893, 894, 894, 895, 895, 895, 897, 898, 898, 899, 899, 899, 901, 902, 902, 903, 903, 903, 905, 906, 906, 907, 907, 907, 909, 910, 910, 911, 911, 911, 913, 914, 914, 915, 915, 915, 917, 918, 918, 919, 919, 919, 921, 922, 922, 923, 923, 923, 925, 926, 926, 927, 927, 927, 929, 930, 930, 931, 931, 931, 933, 934, 934, 935, 935, 935, 937, 938, 938, 939, 939, 939, 941, 942, 942, 943, 943, 943, 945, 946, 946, 947, 947, 947, 949, 950, 950, 951, 951, 951, 953, 954, 954, 955, 955, 955, 957, 958, 958, 959, 959, 959, 961, 962, 962, 963, 963, 963, 965, 966, 966, 967, 967, 967, 969, 970, 970, 971, 971, 971, 973, 974, 974, 975, 975, 975, 977, 978, 978, 979, 979, 979, 981, 982, 982, 983, 983, 983, 985, 986, 986, 987, 987, 987, 989, 990, 990, 991, 991, 991, 993, 994, 994, 995, 995, 995, 997, 998, 998, 999, 999, 999 }

    {0, 0, 1, 0, 1, 2, 4, 4, 5, 4, 5, 6, 8, 8, 9, 8, 9, 10, 12, 12, 13, 12, 13, 14, 16, 16, 17, 16, 17, 18, 20, 20, 21, 20, 21, 22, 24, 24, 25, 24, 25, 26, 28, 28, 29, 28, 29, 30, 32, 32, 33, 32, 33, 34, 36, 36, 37, 36, 37, 38, 40, 40, 41, 40, 41, 42, 44, 44, 45, 44, 45, 46, 48, 48, 49, 48, 49, 50, 52, 52, 53, 52, 53, 54, 56, 56, 57, 56, 57, 58, 60, 60, 61, 60, 61, 62, 64, 64, 65, 64, 65, 66, 68, 68, 69, 68, 69, 70, 72, 72, 73, 72, 73, 74, 76, 76, 77, 76, 77, 78, 80, 80, 81, 80, 81, 82, 84, 84, 85, 84, 85, 86, 88, 88, 89, 88, 89, 90, 92, 92, 93, 92, 93, 94, 96, 96, 97, 96, 97, 98, 100, 100, 101, 100, 101, 102, 104, 104, 105, 104, 105, 106, 108, 108, 109, 108, 109, 110, 112, 112, 113, 112, 113, 114, 116, 116, 117, 116, 117, 118, 120, 120, 121, 120, 121, 122, 124, 124, 125, 124, 125, 126, 128, 128, 129, 128, 129, 130, 132, 132, 133, 132, 133, 134, 136, 136, 137, 136, 137, 138, 140, 140, 141, 140, 141, 142, 144, 144, 145, 144, 145, 146, 148, 148, 149, 148, 149, 150, 152, 152, 153, 152, 153, 154, 156, 156, 157, 156, 157, 158, 160, 160, 161, 160, 161, 162, 164, 164, 165, 164, 165, 166, 168, 168, 169, 168, 169, 170, 172, 172, 173, 172, 173, 174, 176, 176, 177, 176, 177, 178, 180, 180, 181, 180, 181, 182, 184, 184, 185, 184, 185, 186, 188, 188, 189, 188, 189, 190, 192, 192, 193, 192, 193, 194, 196, 196, 197, 196, 197, 198, 200, 200, 201, 200, 201, 202, 204, 204, 205, 204, 205, 206, 208, 208, 209, 208, 209, 210, 212, 212, 213, 212, 213, 214, 216, 216, 217, 216, 217, 218, 220, 220, 221, 220, 221, 222, 224, 224, 225, 224, 225, 226, 228, 228, 229, 228, 229, 230, 232, 232, 233, 232, 233, 234, 236, 236, 237, 236, 237, 238, 240, 240, 241, 240, 241, 242, 244, 244, 245, 244, 245, 246, 248, 248, 249, 248, 249, 250, 252, 252, 253, 252, 253, 254, 256, 256, 257, 256, 257, 258, 260, 260, 261, 260, 261, 262, 264, 264, 265, 264, 265, 266, 268, 268, 269, 268, 269, 270, 272, 272, 273, 272, 273, 274, 276, 276, 277, 276, 277, 278, 280, 280, 281, 280, 281, 282, 284, 284, 285, 284, 285, 286, 288, 288, 289, 288, 289, 290, 292, 292, 293, 292, 293, 294, 296, 296, 297, 296, 297, 298, 300, 300, 301, 300, 301, 302, 304, 304, 305, 304, 305, 306, 308, 308, 309, 308, 309, 310, 312, 312, 313, 312, 313, 314, 316, 316, 317, 316, 317, 318, 320, 320, 321, 320, 321, 322, 324, 324, 325, 324, 325, 326, 328, 328, 329, 328, 329, 330, 332, 332, 333, 332, 333, 334, 336, 336, 337, 336, 337, 338, 340, 340, 341, 340, 341, 342, 344, 344, 345, 344, 345, 346, 348, 348, 349, 348, 349, 350, 352, 352, 353, 352, 353, 354, 356, 356, 357, 356, 357, 358, 360, 360, 361, 360, 361, 362, 364, 364, 365, 364, 365, 366, 368, 368, 369, 368, 369, 370, 372, 372, 373, 372, 373, 374, 376, 376, 377, 376, 377, 378, 380, 380, 381, 380, 381, 382, 384, 384, 385, 384, 385, 386, 388, 388, 389, 388, 389, 390, 392, 392, 393, 392, 393, 394, 396, 396, 397, 396, 397, 398, 400, 400, 401, 400, 401, 402, 404, 404, 405, 404, 405, 406, 408, 408, 409, 408, 409, 410, 412, 412, 413, 412, 413, 414, 416, 416, 417, 416, 417, 418, 420, 420, 421, 420, 421, 422, 424, 424, 425, 424, 425, 426, 428, 428, 429, 428, 429, 430, 432, 432, 433, 432, 433, 434, 436, 436, 437, 436, 437, 438, 440, 440, 441, 440, 441, 442, 444, 444, 445, 444, 445, 446, 448, 448, 449, 448, 449, 450, 452, 452, 453, 452, 453, 454, 456, 456, 457, 456, 457, 458, 460, 460, 461, 460, 461, 462, 464, 464, 465, 464, 465, 466, 468, 468, 469, 468, 469, 470, 472, 472, 473, 472, 473, 474, 476, 476, 477, 476, 477, 478, 480, 480, 481, 480, 481, 482, 484, 484, 485, 484, 485, 486, 488, 488, 489, 488, 489, 490, 492, 492, 493, 492, 493, 494, 496, 496, 497, 496, 497, 498, 500, 500, 501, 500, 501, 502, 504, 504, 505, 504, 505, 506, 508, 508, 509, 508, 509, 510, 512, 512, 513, 512, 513, 514, 516, 516, 517, 516, 517, 518, 520, 520, 521, 520, 521, 522, 524, 524, 525, 524, 525, 526, 528, 528, 529, 528, 529, 530, 532, 532, 533, 532, 533, 534, 536, 536, 537, 536, 537, 538, 540, 540, 541, 540, 541, 542, 544, 544, 545, 544, 545, 546, 548, 548, 549, 548, 549, 550, 552, 552, 553, 552, 553, 554, 556, 556, 557, 556, 557, 558, 560, 560, 561, 560, 561, 562, 564, 564, 565, 564, 565, 566, 568, 568, 569, 568, 569, 570, 572, 572, 573, 572, 573, 574, 576, 576, 577, 576, 577, 578, 580, 580, 581, 580, 581, 582, 584, 584, 585, 584, 585, 586, 588, 588, 589, 588, 589, 590, 592, 592, 593, 592, 593, 594, 596, 596, 597, 596, 597, 598, 600, 600, 601, 600, 601, 602, 604, 604, 605, 604, 605, 606, 608, 608, 609, 608, 609, 610, 612, 612, 613, 612, 613, 614, 616, 616, 617, 616, 617, 618, 620, 620, 621, 620, 621, 622, 624, 624, 625, 624, 625, 626, 628, 628, 629, 628, 629, 630, 632, 632, 633, 632, 633, 634, 636, 636, 637, 636, 637, 638, 640, 640, 641, 640, 641, 642, 644, 644, 645, 644, 645, 646, 648, 648, 649, 648, 649, 650, 652, 652, 653, 652, 653, 654, 656, 656, 657, 656, 657, 658, 660, 660, 661, 660, 661, 662, 664, 664, 665, 664, 665, 666, 668, 668, 669, 668, 669, 670, 672, 672, 673, 672, 673, 674, 676, 676, 677, 676, 677, 678, 680, 680, 681, 680, 681, 682, 684, 684, 685, 684, 685, 686, 688, 688, 689, 688, 689, 690, 692, 692, 693, 692, 693, 694, 696, 696, 697, 696, 697, 698, 700, 700, 701, 700, 701, 702, 704, 704, 705, 704, 705, 706, 708, 708, 709, 708, 709, 710, 712, 712, 713, 712, 713, 714, 716, 716, 717, 716, 717, 718, 720, 720, 721, 720, 721, 722, 724, 724, 725, 724, 725, 726, 728, 728, 729, 728, 729, 730, 732, 732, 733, 732, 733, 734, 736, 736, 737, 736, 737, 738, 740, 740, 741, 740, 741, 742, 744, 744, 745, 744, 745, 746, 748, 748, 749, 748, 749, 750, 752, 752, 753, 752, 753, 754, 756, 756, 757, 756, 757, 758, 760, 760, 761, 760, 761, 762, 764, 764, 765, 764, 765, 766, 768, 768, 769, 768, 769, 770, 772, 772, 773, 772, 773, 774, 776, 776, 777, 776, 777, 778, 780, 780, 781, 780, 781, 782, 784, 784, 785, 784, 785, 786, 788, 788, 789, 788, 789, 790, 792, 792, 793, 792, 793, 794, 796, 796, 797, 796, 797, 798, 800, 800, 801, 800, 801, 802, 804, 804, 805, 804, 805, 806, 808, 808, 809, 808, 809, 810, 812, 812, 813, 812, 813, 814, 816, 816, 817, 816, 817, 818, 820, 820, 821, 820, 821, 822, 824, 824, 825, 824, 825, 826, 828, 828, 829, 828, 829, 830, 832, 832, 833, 832, 833, 834, 836, 836, 837, 836, 837, 838, 840, 840, 841, 840, 841, 842, 844, 844, 845, 844, 845, 846, 848, 848, 849, 848, 849, 850, 852, 852, 853, 852, 853, 854, 856, 856, 857, 856, 857, 858, 860, 860, 861, 860, 861, 862, 864, 864, 865, 864, 865, 866, 868, 868, 869, 868, 869, 870, 872, 872, 873, 872, 873, 874, 876, 876, 877, 876, 877, 878, 880, 880, 881, 880, 881, 882, 884, 884, 885, 884, 885, 886, 888, 888, 889, 888, 889, 890, 892, 892, 893, 892, 893, 894, 896, 896, 897, 896, 897, 898, 900, 900, 901, 900, 901, 902, 904, 904, 905, 904, 905, 906, 908, 908, 909, 908, 909, 910, 912, 912, 913, 912, 913, 914, 916, 916, 917, 916, 917, 918, 920, 920, 921, 920, 921, 922, 924, 924, 925, 924, 925, 926, 928, 928, 929, 928, 929, 930, 932, 932, 933, 932, 933, 934, 936, 936, 937, 936, 937, 938, 940, 940, 941, 940, 941, 942, 944, 944, 945, 944, 945, 946, 948, 948, 949, 948, 949, 950, 952, 952, 953, 952, 953, 954, 956, 956, 957, 956, 957, 958, 960, 960, 961, 960, 961, 962, 964, 964, 965, 964, 965, 966, 968, 968, 969, 968, 969, 970, 972, 972, 973, 972, 973, 974, 976, 976, 977, 976, 977, 978, 980, 980, 981, 980, 981, 982, 984, 984, 985, 984, 985, 986, 988, 988, 989, 988, 989, 990, 992, 992, 993, 992, 993, 994, 996, 996, 997, 996, 997, 998 }

    Returns: {0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1 }

  150. 8

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

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

    Returns: {0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1 }

  151. 4

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

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

    Returns: {0, 0, 1, 1, 0, 1 }

  152. 10

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

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

    Returns: {0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1 }

  153. 4

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

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

    Returns: {0, 0, 1, 0, 1, 1 }

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: