Problem Statement
Given a tree T, we can compute the distances between all pairs of its vertices. The largest of all those distances is called the diameter of the tree.
In a tree T, an unordered pair {x, y} of vertices is called an antipodal pair if their distance is equal to the diameter of the tree.
The value A(T) is defined as the number of distinct antipodal pairs in the tree T. Note that {a, b} is the same pair of vertices as {b, a}.
A subgraph of a graph G is a graph that can be obtained from G by erasing some (possibly none) vertices and some (possibly none) edges. A subtree of a tree T is a subgraph of T that is a tree. In other words, the subtrees of a tree T are precisely all connected subgraphs of T. Note that T is considered to be its own subtree.
You are given a
Consider all possible subtrees of the given tree T. For each such subtree T' that has at least two vertices, determine the value A(T'): the number of antipodal pairs in T'. Return the largest of all those values.
In other words, among all possible subtrees of the given tree T find the one that has the most antipodal pairs, and return their count.
Note that when counting antipodal pairs in a subtree we are looking for pairs of vertices with distance equal to the diameter of that particular subtree (which may be smaller than the diameter of the original tree).
Definition
- Class:
- TreeDiameters
- Method:
- getMax
- Parameters:
- int[]
- Returns:
- int
- Method signature:
- int getMax(int[] p)
- (be sure your method is public)
Constraints
- p will contain between 1 and 1,000 elements, inclusive.
- For each i: 0 <= p[i] <= i.
Examples
{0,1,2,2}
Returns: 3
This is a tree on 5 vertices, numbered 0 through 4. The tree contains the edges 0-1, 1-2, 2-3, and 2-4. The diameter of this tree is 3. There are two antipodal pairs: {0, 3} and {0, 4}. However, this is not the largest possible number of antipodal pairs. Consider the subtree that contains just the vertices {1, 2, 3, 4} and therefore only the edges 1-2, 2-3, and 2-4. The diameter of this smaller tree is 2. This smaller tree contains three antipodal pairs: {1, 3}, {1, 4}, and {3, 4}.
{0,0,0,0}
Returns: 6
The given tree contains six antipodal pairs, which is more than any of its subtrees.
{0,1,2,3,4,5,6,7}
Returns: 1
The entire tree is a single path. Any subtree of this tree will therefore also be a path. The diameter of a path is its length. Each path with a positive length contains exactly one antipodal pair: its endpoints.
{0,0,0,2,3,4}
Returns: 3
{0}
Returns: 1
{0,1,2,3,1,5,5,7}
Returns: 4
{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, 996, 997, 998, 999}
Returns: 1
{0, 1, 2, 3, 3, 3, 5, 0, 2, 7, 8, 8, 2, 4, 0, 7, 15, 3, 14, 14, 5, 4, 10, 4, 20, 25, 26, 25, 18, 22, 21, 11, 1, 19, 10, 22, 5, 17, 9, 2, 29, 14, 17, 3, 37, 23, 2, 19, 27, 27, 49, 12, 39, 43, 37, 33, 9, 32, 54, 57, 36, 21, 11, 5, 1, 18, 66, 67, 57, 21, 30, 44, 32, 31, 18, 53, 56, 66, 43, 21, 54, 73, 44, 23, 18, 61, 24, 84, 28, 34, 53, 84, 7, 19, 27, 7, 86, 87, 75, 70, 86, 26, 5, 20, 64, 61, 92, 80, 92, 14, 49, 37, 82, 45, 65, 88, 41, 39, 47, 89, 45, 71, 37, 102, 50, 19, 39, 10, 106, 6, 12, 75, 41, 122, 72, 61, 50, 101, 91, 112, 66, 79, 116, 87, 102, 130, 79, 31, 100, 89, 111, 2, 122, 97, 137, 11, 144, 24, 132, 112, 55, 26, 19, 100, 49, 68, 146, 102, 128, 83, 58, 166, 22, 164, 168, 152, 17, 96, 113, 152, 80, 7, 64, 5, 53, 42, 44, 72, 150, 103, 150, 113, 29, 87, 98, 25, 32, 34, 80, 6, 37, 105, 28, 61, 204, 71, 15, 93, 150, 83, 87, 51, 177, 76, 141, 198, 87, 120, 42, 199, 199, 47, 39, 123, 224, 217, 156, 61, 129, 153, 225, 96, 29, 164, 79, 54, 178, 178, 206, 21, 227, 37, 226, 88, 40, 87, 74, 174, 23, 70, 222, 168, 92, 2, 159, 190, 247, 14, 57, 126, 88, 107, 58, 35, 85, 67, 147, 9, 34, 144, 72, 67, 183, 272, 45, 259, 93, 268, 2, 101, 279, 181, 238, 273, 274, 161, 267, 267, 84, 151, 38, 114, 249, 180, 250, 15, 109, 63, 190, 204, 166, 241, 221, 50, 94, 137, 72, 301, 75, 229, 254, 195, 162, 135, 51, 272, 17, 105, 206, 240, 184, 128, 63, 51, 84, 108, 322, 215, 321, 120, 292, 92, 60, 203, 298, 50, 207, 172, 279, 72, 18, 337, 99, 327, 38, 190, 317, 277, 40, 238, 138, 343, 78, 206, 156, 319, 257, 181, 38, 295, 16, 264, 226, 220, 185, 329, 58, 52, 320, 368, 304, 219, 337, 276, 240, 198, 24, 123, 121, 128, 316, 145, 283, 377, 3, 245, 161, 187, 362, 357, 277, 346, 272, 366, 340, 110, 207, 169, 343, 12, 280, 388, 19, 198, 153, 291, 7, 290, 299, 245, 41, 84, 327, 75, 307, 218, 410, 124, 416, 341, 350, 160, 106, 208, 68, 142, 383, 80, 198, 228, 240, 7, 103, 255, 224, 320, 348, 182, 181, 303, 39, 327, 45, 317, 2, 205, 259, 317, 25, 97, 403, 440, 260, 195, 331, 428, 386, 101, 373, 118, 277, 388, 250, 116, 352, 4, 64, 289, 256, 244, 349, 413, 390, 368, 234, 133, 326, 55, 475, 228, 31, 17, 111, 356, 91, 154, 373, 296, 67, 225, 412, 405, 162, 47, 327, 257, 47, 48, 100, 490, 155, 447, 194, 438, 99, 308, 436, 260, 216, 441, 124, 459, 154, 305, 381, 101, 457, 184, 58, 227, 52, 57, 322, 210, 393, 382, 224, 396, 400, 289, 455, 214, 281, 375, 67, 38, 513, 125, 484, 393, 500, 178, 476, 431, 71, 222, 288, 95, 113, 140, 365, 44, 125, 495, 337, 505, 276, 510, 240, 44, 88, 71, 306, 437, 238, 478, 265, 566, 67, 137, 216, 371, 115, 120, 451, 568, 549, 59, 430, 286, 412, 105, 449, 505, 415, 10, 284, 579, 3, 542, 343, 409, 198, 520, 312, 288, 212, 359, 51, 6, 259, 256, 523, 301, 240, 376, 393, 500, 118, 446, 40, 441, 131, 72, 425, 27, 146, 150, 157, 343, 304, 326, 389, 15, 103, 454, 160, 605, 266, 272, 533, 570, 75, 510, 404, 216, 242, 331, 532, 277, 2, 11, 91, 99, 351, 180, 449, 423, 150, 356, 315, 632, 459, 411, 37, 495, 592, 277, 8, 461, 52, 549, 299, 207, 482, 236, 526, 504, 366, 647, 648, 219, 289, 21, 528, 146, 66, 19, 469, 575, 392, 544, 610, 358, 137, 210, 308, 21, 304, 600, 429, 562, 8, 437, 649, 360, 626, 275, 375, 615, 415, 657, 540, 660, 177, 272, 154, 59, 278, 576, 283, 711, 544, 544, 114, 522, 596, 533, 81, 474, 256, 550, 637, 87, 197, 135, 447, 396, 520, 363, 491, 500, 220, 422, 422, 631, 552, 7, 523, 348, 621, 137, 600, 337, 706, 386, 76, 179, 634, 446, 108, 17, 427, 236, 161, 325, 162, 522, 38, 174, 215, 91, 589, 460, 550, 680, 107, 760, 662, 34, 88, 514, 426, 182, 580, 96, 75, 98, 87, 668, 216, 66, 615, 97, 66, 767, 161, 551, 682, 569, 340, 672, 166, 357, 174, 524, 326, 563, 426, 211, 29, 405, 14, 408, 696, 611, 743, 563, 176, 335, 809, 570, 53, 738, 427, 116, 158, 222, 268, 64, 307, 209, 407, 402, 405, 451, 426, 262, 218, 371, 338, 407, 199, 250, 91, 525, 93, 601, 778, 71, 519, 249, 836, 543, 499, 684, 367, 116, 135, 507, 72, 162, 50, 526, 282, 388, 124, 845, 95, 258, 511, 276, 235, 181, 476, 543, 182, 636, 523, 204, 370, 360, 523, 362, 577, 395, 851, 236, 632, 859, 442, 478, 230, 35, 853, 439, 94, 788, 873, 43, 10, 766, 221, 467, 44, 708, 258, 746, 374, 95, 19, 547, 851, 158, 507, 242, 334, 38, 593, 380, 413, 331, 13, 547, 827, 424, 228, 365, 912, 305, 145, 818, 471, 40, 818, 823, 692, 276, 829, 240, 106, 268, 455, 554, 816, 248, 728, 443, 478, 693, 345, 761, 790, 146, 742, 298, 859, 360, 624, 806, 533, 69, 652, 755, 806, 735, 395, 306, 339, 527, 337, 304, 331, 664, 436, 477, 217, 888, 410, 508, 911, 754, 295, 878, 92, 397, 877, 735, 684, 41, 760, 586, 895, 509, 228, 307, 501, 549, 709, 4, 439, 528, 18, 462, 330, 685, 647, 752, 123, 170}
Returns: 10737
{0, 1, 0, 0, 0, 1, 4, 5, 5, 6, 8, 9, 12, 11, 13, 14, 14, 12, 16, 17, 15, 16, 19, 18, 21, 23, 26, 25, 23, 28, 30, 26, 30, 30, 34, 34, 35, 32, 35, 38, 40, 39, 38, 39, 41, 45, 43, 45, 45, 49, 45, 48, 47, 51, 50, 54, 56, 57, 55, 55, 59, 58, 58, 61, 62, 61, 61, 67, 63, 69, 65, 71, 67, 70, 71, 70, 71, 76, 77, 74, 77, 77, 79, 82, 84, 83, 81, 86, 84, 86, 87, 88, 88, 89, 91, 95, 96, 92, 96, 97, 99, 97, 97, 103, 101, 103, 101, 102, 106, 104, 110, 107, 107, 113, 114, 114, 113, 115, 116, 115, 118, 117, 117, 122, 119, 125, 124, 123, 128, 128, 127, 127, 131, 132, 132, 134, 131, 132, 134, 134, 136, 140, 140, 138, 143, 142, 146, 146, 143, 149, 149, 151, 150, 151, 153, 152, 151, 156, 155, 154, 155, 160, 159, 161, 161, 161, 163, 167, 163, 166, 165, 169, 171, 169, 171, 170, 174, 175, 177, 177, 178, 180, 180, 182, 181, 183, 184, 187, 183, 185, 187, 186, 188, 191, 190, 194, 193, 197, 196, 194, 200, 200, 198, 198, 199, 202, 206, 207, 208, 207, 210, 208, 211, 210, 210, 210, 215, 214, 218, 218, 219, 216, 222, 219, 222, 225, 223, 223, 223, 228, 227, 226, 232, 233, 231, 232, 235, 237, 237, 235, 239, 236, 238, 239, 240, 241, 241, 242, 244, 244, 246, 247, 248, 251, 253, 253, 252, 256, 256, 256, 256, 260, 258, 261, 260, 261, 264, 262, 267, 265, 270, 271, 269, 269, 272, 273, 271, 272, 275, 278, 275, 279, 278, 281, 284, 284, 284, 284, 288, 289, 289, 291, 292, 292, 294, 290, 292, 297, 295, 294, 298, 299, 298, 299, 300, 302, 301, 306, 307, 307, 308, 308, 308, 312, 313, 314, 315, 312, 315, 319, 320, 316, 319, 318, 324, 324, 321, 322, 328, 328, 327, 330, 329, 333, 332, 335, 335, 337, 336, 338, 336, 341, 338, 340, 340, 341, 341, 347, 348, 349, 350, 349, 348, 353, 352, 354, 354, 352, 354, 358, 360, 356, 359, 359, 361, 362, 366, 364, 367, 366, 368, 370, 371, 373, 371, 371, 375, 372, 378, 379, 376, 377, 379, 381, 380, 382, 383, 385, 386, 389, 387, 390, 389, 390, 389, 391, 391, 396, 393, 397, 399, 396, 398, 400, 403, 405, 401, 406, 408, 405, 410, 406, 410, 411, 412, 414, 413, 415, 418, 417, 420, 417, 419, 420, 419, 425, 426, 424, 425, 424, 428, 429, 430, 432, 433, 435, 436, 432, 435, 436, 438, 441, 437, 438, 441, 440, 442, 445, 448, 449, 449, 447, 452, 450, 450, 455, 456, 456, 455, 454, 460, 456, 462, 458, 461, 462, 466, 462, 467, 466, 466, 469, 470, 473, 473, 472, 476, 474, 477, 479, 476, 481, 482, 479, 481, 483, 481, 482, 484, 485, 489, 487, 488, 489, 493, 493, 491, 494, 495, 497, 500, 497, 502, 503, 502, 505, 503, 506, 503, 508, 510, 511, 508, 512, 511, 511, 516, 514, 518, 517, 516, 521, 522, 520, 522, 525, 521, 524, 527, 525, 525, 530, 532, 528, 530, 531, 532, 537, 537, 534, 537, 540, 542, 540, 543, 541, 546, 546, 544, 547, 549, 551, 549, 549, 554, 555, 556, 556, 556, 559, 557, 558, 562, 558, 559, 560, 562, 567, 567, 565, 568, 566, 567, 570, 571, 574, 575, 572, 575, 577, 578, 578, 579, 578, 582, 582, 585, 582, 587, 589, 586, 586, 592, 592, 589, 592, 596, 597, 594, 598, 598, 599, 600, 598, 599, 601, 606, 604, 608, 605, 608, 607, 611, 610, 611, 612, 613, 612, 617, 616, 620, 618, 621, 618, 621, 622, 625, 627, 628, 626, 627, 628, 632, 632, 629, 633, 634, 637, 635, 635, 636, 640, 641, 642, 640, 640, 642, 646, 644, 646, 647, 647, 651, 651, 654, 651, 654, 654, 654, 655, 655, 659, 659, 659, 664, 663, 666, 667, 663, 669, 667, 668, 670, 669, 673, 674, 674, 673, 673, 674, 679, 676, 679, 681, 681, 680, 685, 684, 684, 686, 689, 687, 689, 691, 692, 691, 691, 697, 695, 697, 699, 696, 700, 698, 702, 702, 704, 706, 705, 706, 705, 706, 708, 710, 714, 714, 714, 713, 714, 719, 716, 716, 722, 723, 721, 722, 723, 725, 728, 728, 730, 729, 730, 733, 734, 734, 735, 734, 733, 737, 739, 739, 738, 739, 744, 745, 744, 745, 747, 747, 750, 749, 749, 751, 749, 754, 751, 756, 757, 754, 755, 757, 757, 763, 759, 760, 765, 765, 765, 767, 768, 771, 770, 773, 770, 774, 772, 777, 777, 775, 775, 777, 780, 782, 779, 781, 783, 783, 788, 785, 789, 786, 789, 788, 793, 793, 796, 797, 797, 797, 797, 800, 798, 801, 804, 805, 802, 805, 804, 804, 805, 810, 807, 809, 814, 810, 811, 816, 813, 818, 818, 818, 819, 818, 822, 822, 821, 826, 828, 825, 827, 830, 829, 833, 832, 834, 835, 836, 836, 834, 836, 839, 839, 841, 841, 844, 841, 842, 847, 844, 848, 850, 851, 849, 849, 851, 852, 852, 855, 855, 855, 857, 861, 863, 860, 864, 861, 866, 868, 865, 870, 867, 871, 870, 874, 873, 871, 872, 875, 878, 880, 880, 877, 883, 880, 883, 886, 884, 887, 885, 889, 889, 891, 890, 891, 890, 896, 897, 895, 896, 895, 896, 898, 902, 899, 901, 902, 904, 907, 909, 906, 906, 910, 909, 914, 911, 912, 914, 916, 915, 917, 920, 918, 918, 920, 925, 923, 922, 925, 929, 927, 931, 930, 929, 933, 930, 934, 936, 937, 935, 935, 936, 941, 943, 941, 943, 944, 946, 946, 945, 950, 950, 951, 949, 952, 953, 954, 952, 954, 959, 958, 959, 962, 962, 962, 964, 966, 963, 968, 966, 969, 966, 967, 970, 972, 973, 972, 973, 975, 976, 979, 977, 981, 981, 980, 981, 985, 982, 984, 989, 986, 990, 987, 990, 994, 995, 996, 993, 998, 999}
Returns: 63
{0,1,1,0,4,4}
Returns: 4
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Returns: 90
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Returns: 99
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Returns: 90
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Returns: 132
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Returns: 121
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Returns: 143
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Returns: 128
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Returns: 140
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Returns: 83
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Returns: 190
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Returns: 121
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Returns: 132
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Returns: 132
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Returns: 187
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Returns: 88
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Returns: 120
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Returns: 165
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Returns: 132
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Returns: 108
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Returns: 24
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Returns: 110
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Returns: 110
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Returns: 99
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Returns: 99
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Returns: 50
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Returns: 80
{0, 0, 1, 2, 0, 0, 3, 5, 0, 2, 7, 3, 5, 6, 7, 13, 12, 7, 11, 18, 19, 20, 16, 15, 21, 20, 24, 26, 18, 25, 21, 23, 23, 31, 34, 27, 26, 36, 36, 39, 36, 31, 36, 38, 43, 40, 38, 47, 45, 45, 49, 41, 43, 44, 54, 55, 49, 53, 57, 54, 50, 52, 53, 62, 62, 57, 65, 60, 60, 66, 70, 63, 67, 69, 72, 69, 70, 77, 73, 70, 80, 77, 78, 73, 78, 77, 80, 85, 83, 89, 88, 91, 90, 90, 86, 92, 89, 87, 96, 92, 97, 98, 97, 95, 97, 102, 96, 101, 99, 102, 109, 111, 104, 109, 113, 110, 111, 116, 113, 115, 111, 119, 118, 120, 118, 119, 123, 118, 119, 119, 126, 131, 124, 133, 129, 134, 133, 135, 131, 131, 138, 134, 141, 141, 136, 136, 137, 146, 147, 143, 143, 151, 151, 149, 149, 147, 153, 157, 153, 156, 158, 151, 156, 159, 156, 164, 165, 160, 160, 162, 164, 162, 165, 171, 165, 173, 166, 176, 176, 170, 171, 172, 180, 175, 182, 176, 177, 177, 181, 184, 180, 189, 188, 186, 191, 187, 192, 189, 197, 194, 191, 194, 192, 199, 197, 201, 196, 201, 207, 199, 202, 201, 206, 204, 206, 212, 211, 207, 215, 214, 214, 216, 214, 217, 217, 217, 221, 226, 225, 226, 226, 228, 230, 229, 228, 230, 229, 237, 232, 238, 239, 238, 236, 236, 235, 239, 246, 241, 248, 242, 247, 247, 249, 247, 251, 248, 251, 252, 257, 256, 253, 261, 259, 263, 255, 259, 258, 266, 268, 268, 268, 270, 269, 263, 271, 273, 270, 267, 268, 275, 273, 280, 273, 276, 277, 283, 277, 285, 278, 288, 285, 283, 288, 290, 287, 286, 294, 295, 291, 294, 300, 296, 300, 300, 295, 295, 297, 302, 301, 309, 305, 303, 304, 304, 312, 306, 312, 312, 310, 312, 318, 311, 319, 321, 320, 325, 321, 327, 325, 323, 329, 328, 322, 328, 326, 327, 327, 329, 330, 339, 331, 335, 333, 342, 337, 339, 339, 346, 343, 348, 347, 345, 347, 343, 349, 352, 351, 357, 350, 357, 353, 357, 360, 361, 359, 357, 366, 364, 359, 360, 366, 363, 370, 363, 372, 372, 371, 371, 375, 377, 378, 371, 382, 376, 377, 378, 382, 383, 381, 387, 385, 387, 387, 392, 385, 385, 388, 394, 393, 398, 394, 395, 393, 393, 394, 398, 406, 407, 401, 405, 407, 409, 403, 411, 409, 409, 413, 407, 416, 414, 419, 416, 422, 423, 417, 416, 421, 418, 427, 421, 430, 428, 425, 432, 424, 430, 436, 431, 433, 433, 433, 435, 432, 441, 443, 437, 437, 439, 445, 446, 440, 448, 451, 450, 446, 450, 454, 457, 452, 450, 450, 460, 455, 462, 460, 464, 456, 458, 458, 463, 465, 465, 465, 464, 464, 474, 470, 467, 475, 474, 477, 477, 472, 482, 476, 477, 483, 483, 484, 479, 486, 488, 487, 488, 491, 487, 486, 494, 493, 492, 492, 501, 492, 497, 495, 503, 497, 505, 498, 503, 502, 501, 502, 508, 504, 515, 510, 515, 516, 517, 512, 518, 513, 518, 518, 515, 526, 526, 518, 525, 524, 522, 523, 523, 531, 531, 532, 530, 531, 539}
Returns: 204
{0, 1, 1, 1, 0, 4, 0, 6, 0, 8, 0, 8, 11, 6, 4, 9, 10, 16, 8, 17, 18, 17, 13, 20, 23, 25, 21, 27, 26, 22, 30, 29, 22, 26, 29, 25, 27, 34, 35, 35, 30, 34, 39, 38, 43, 39, 36, 45, 38, 40, 50, 48, 47, 53, 48, 45, 56, 48, 53, 56, 58, 52, 57, 53, 55, 61, 64, 58, 65, 62, 69, 63, 67, 64, 67, 73, 73, 67, 76, 71, 78, 75, 72, 81, 76, 76, 78, 84, 78, 86, 89, 85, 86, 88, 92, 92, 95, 97, 90, 93, 90, 92, 95, 97, 97, 98, 106, 98, 107, 109, 106, 108, 107, 103, 107, 108, 107, 108, 109, 119, 110, 120, 115, 114, 119, 124, 120, 126, 123, 128, 125, 129, 127, 124, 130, 132, 129, 132, 128}
Returns: 63
{0, 0, 0, 3, 1, 2, 4, 5, 2, 9, 2, 9, 12, 11, 9, 8, 8, 12, 17, 19, 18, 14, 15, 14, 24, 23, 26, 24, 25, 23, 20, 28, 32, 31, 26, 25, 27, 35, 32, 38, 39, 36, 40, 41, 39, 38, 39, 45, 44, 46, 45, 46, 49, 43, 51, 46, 49, 48, 55, 59, 57, 53, 61, 54, 64, 60, 58, 66, 66, 63, 62, 68, 70, 68, 68, 67, 73, 69, 68, 71, 75, 74, 82, 75, 76, 76, 77, 87, 87, 85, 88, 91, 82, 85, 92, 93, 92, 97, 95, 95, 90, 100, 102, 96, 98, 104, 101, 103, 99, 109, 105, 101, 112, 108, 105, 107, 108, 109, 113, 118, 110, 118, 121, 114, 115, 125, 120, 124, 124, 121, 128, 125, 122, 126, 126, 125, 127, 136, 133, 136, 139, 137, 135, 136, 136, 137, 142, 141, 145, 145, 147, 142, 149, 149, 146, 153, 149, 147, 153, 153, 153, 157, 162, 157, 159, 159, 161, 158, 164, 159, 168, 162, 170, 169, 174, 168, 173, 167, 170, 171, 174, 176, 174, 179, 184, 175, 177, 187, 184, 186, 190, 181, 186, 188, 185, 187, 196, 187, 198, 196, 193, 201, 193, 194, 194, 205, 206, 197, 204, 204, 203, 208, 211, 213, 212, 206, 216, 208, 210, 211, 211, 220, 222, 218, 220, 220, 226, 218, 222, 225, 229, 227, 223, 225, 234, 225, 226, 231, 234, 234, 231, 240, 239, 239, 237, 243, 237, 247, 246, 245, 250, 248, 248, 247, 250, 252, 248, 257, 249, 251, 260, 257, 259, 253, 263, 259, 258, 266, 265, 264, 268, 267, 263, 273, 264, 271, 267, 270, 269, 276, 270, 275, 281, 282, 277, 285, 286, 283, 288, 282, 285, 283, 284, 288, 288, 285, 286, 288, 294, 292, 290, 298, 294, 295, 298, 296, 298, 300, 299, 309, 307, 311, 302, 309, 305, 306, 312, 307, 317, 312, 311, 320, 317, 320, 315, 321, 318, 324, 324, 325, 325, 328, 325, 330, 326, 335, 331, 327, 329, 335, 332, 334, 332, 341, 335, 338, 342, 342, 346, 344, 347, 341, 352, 346, 344, 350, 351, 352, 351, 357, 351, 358, 362, 360, 358, 359, 363, 358, 359, 367, 364, 364, 362, 372, 367, 371, 369, 372, 376, 378, 374, 372, 377, 374, 384, 383, 377, 377, 382, 381, 380, 391, 390, 392, 387, 389, 387, 395, 388, 391, 397, 395, 393}
Returns: 126
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Returns: 130
{0, 0, 2, 0, 0, 5, 3, 1, 0, 5, 7, 11, 6, 0, 5, 7, 5, 4, 3, 16, 14, 9, 12, 17, 14, 14, 7, 3, 24, 14, 25, 13, 1, 2, 24, 31, 23, 0, 34, 11, 21, 0, 40, 27, 3, 27, 1, 28, 31, 21, 7, 19, 32, 40, 21, 27, 45, 20, 0, 35, 38, 36, 14, 54, 35, 13, 54, 58, 5, 48, 24, 55, 21, 37, 10, 49, 11, 30, 0, 76}
Returns: 129
{0, 1, 2, 0, 4, 5, 3, 2, 8, 2, 2, 0, 10, 7, 8, 2, 7, 17, 9, 10, 16, 15, 6, 22, 17, 19, 6, 13, 7, 7, 16, 25, 2, 25, 33, 7, 24, 13, 21, 21, 38, 20, 33, 24, 36, 20, 24, 12, 10, 5, 41, 13, 19, 0, 13, 40, 30, 43, 6, 32, 34, 42, 57, 3, 61, 50, 45, 54, 28, 65, 60, 45, 0, 25, 69, 41, 3, 47, 14, 33, 13, 70, 0, 70, 80}
Returns: 209
{0, 0, 0, 0, 1, 2, 5, 4, 8, 3, 0, 11, 6, 8, 11, 2, 1, 4}
Returns: 32
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Returns: 10985
{0, 1, 2, 0, 0, 1, 6, 5, 4, 8, 4, 6, 6, 0, 6, 5, 9, 7, 12, 11, 10, 5, 22, 12, 15, 16, 18, 20, 16, 14, 25, 24, 2, 11, 27, 33, 17, 6, 6, 25, 23, 24, 4, 26, 33, 45, 21, 24, 14, 9, 40, 34, 10, 12, 54, 27, 12, 53, 31, 54, 50, 7, 60, 63, 9, 1, 21, 22, 8, 20, 52, 61, 21, 56, 10, 70, 41, 24, 69, 73, 67, 16, 73, 16, 74, 4, 26, 18, 2, 10, 38, 54, 26, 18, 20, 41, 32, 57, 32, 16, 83, 41, 58, 27, 41, 15, 8, 63, 92, 52, 81, 66, 47, 79, 53, 38, 85, 23, 0, 57, 77, 121, 81, 59, 51, 3, 82, 80, 113, 42, 8, 59, 42, 121, 128, 119, 41, 9, 30, 56, 58, 40, 137, 90, 77, 30, 134, 117, 83, 149, 83, 70, 78, 130, 47, 81, 67, 157, 28, 49, 155, 124, 6, 61, 136, 60, 68, 30, 68, 29, 112, 162, 117, 172, 46, 24, 19, 154, 47, 169, 176, 22, 168, 132, 125, 168, 56, 32, 52, 43, 178, 180, 10, 177, 31, 172, 83, 61, 198, 91, 68, 41, 38, 108, 168, 194, 92, 39, 100, 155, 138, 94, 183, 23, 207, 155, 133, 22, 33, 3, 9, 68, 65, 101, 155, 166, 221, 186, 61, 163, 10, 24, 82, 179, 19, 162, 30, 125, 152, 45, 37, 70, 239, 192, 185, 53, 237, 40, 125, 86, 30, 137, 235, 39, 49, 164, 217, 34, 96, 250, 214, 212, 152, 71, 231, 119, 67, 123, 160, 15, 251, 186, 37, 160, 138, 122, 221, 103, 37, 258, 79, 30, 62, 272, 100, 48, 244, 164, 186, 185, 55, 133, 290, 2, 283, 1, 174, 56, 281, 202, 280, 163, 219, 215, 0, 274, 42, 306, 307, 204, 75, 245, 306, 48, 95, 132, 20, 312, 83, 24, 258, 123, 204, 40, 57, 132, 133, 280, 118, 306, 231, 22, 9, 230, 215, 251, 291, 99, 166, 214, 41, 77, 117, 166, 132, 207, 115, 343, 222, 201, 337, 244, 337, 14, 7, 318, 141, 204, 38, 342, 278, 114, 134, 93, 333, 91, 87, 160, 111, 138, 200, 80, 300, 283, 255, 269, 88, 372, 176, 93, 34, 183, 145, 166, 264, 234, 146, 307, 271, 259, 225, 107, 117, 223, 340, 226, 304, 65, 132, 380, 213, 237, 95, 201, 54}
Returns: 2503
{0, 0, 0, 2, 1, 1, 1, 0, 5, 4, 4, 4, 11, 2}
Returns: 9
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Returns: 4832
{0, 0, 0, 3}
Returns: 3
{0, 0, 0, 2, 3, 1, 0, 4, 5, 4, 9, 11, 8, 10, 6, 5, 8, 9, 1, 6, 9, 7, 22, 19, 24, 5, 3, 9, 18, 4, 4, 29, 11, 27, 24, 16, 4, 16, 6, 3, 30, 27, 27, 18, 20, 1, 29, 15, 28, 40, 43, 41, 40, 3, 0, 6, 49, 15, 1, 30, 21, 33, 60, 58, 59, 37, 2, 16, 38, 55, 11, 32, 25, 70, 0, 21, 49, 14, 25, 1, 10, 41, 47, 33, 70, 42, 17, 37, 83, 34, 33, 51, 33}
Returns: 177
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Returns: 871
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Returns: 292
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Returns: 4585
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Returns: 848
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Returns: 6520
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Returns: 79
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Returns: 2165
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Returns: 28
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Returns: 4628
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Returns: 7559
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Returns: 5672
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Returns: 11013
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Returns: 2613
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Returns: 709
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Returns: 8176
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Returns: 1064
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Returns: 258
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Returns: 9457
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Returns: 5130
{0, 1, 1, 3, 4, 5, 4, 0, 2, 2, 3, 11, 7, 11, 6, 8, 9, 16, 0, 8, 13, 1, 20, 16, 11, 16, 16, 8, 19, 1, 4, 17, 0, 5, 17, 10, 14, 23, 34, 8, 6, 17, 20, 10, 24, 40, 13, 30, 48, 12, 25, 0, 8, 23, 49, 20, 52, 20, 40, 34, 8, 29, 58, 57, 20, 17, 25, 7, 26, 18, 58, 0, 37, 63, 54, 38, 73, 39, 42, 79, 70, 5, 26, 24, 11, 18, 77, 82, 4, 52, 21, 33, 21, 43, 22, 84, 59, 40, 52, 12, 62, 16, 39, 38, 9, 98, 4, 20, 51, 23, 44, 13, 48, 66, 12, 21, 21, 112, 42, 109, 30, 54, 41, 40, 117, 125, 122, 123, 4, 67, 86, 92, 71, 77, 78, 67, 115, 115, 22, 138, 106, 16, 46, 116, 23, 118, 50, 27, 146, 114, 141, 102, 54, 97, 143, 22, 98, 141, 14, 16, 62, 124, 7, 71, 147, 11, 74, 151, 3, 75, 135, 157, 172, 86, 54, 165, 165, 168, 28, 91, 131, 86, 63, 16, 16, 86, 33, 74, 58, 5, 135, 166, 68, 186, 115, 52, 176, 120, 0, 194, 0, 181, 148, 8, 186, 133, 137, 131, 204, 16, 129, 62, 131, 74, 181, 9, 157, 2, 195, 204, 86, 26, 0, 36, 168, 224, 64, 182, 38, 97, 38, 139, 140, 217, 228, 37, 236, 197, 90, 183, 134, 238, 207, 33, 16, 226, 201, 48, 4, 6, 148, 193, 223, 216, 205, 152, 178, 180, 243, 234, 177, 162, 37, 218, 242, 84, 73, 42, 7, 149, 168, 108, 130, 37, 68, 144, 134, 201, 72, 104, 137, 102, 5, 88, 117, 142, 164, 108, 225, 280, 160, 261, 108, 109, 11, 189, 196, 171, 183, 181, 168, 142, 266, 218, 201, 215, 156, 274, 73, 154, 144, 120, 226, 126, 30, 272, 137, 21, 105, 109, 316, 3, 216, 92, 75, 83, 213, 314, 210, 42, 281, 22, 127, 263, 102, 98, 230, 250, 322, 287, 265, 113, 96, 154, 331, 48, 133, 335, 61, 236, 179, 94, 328, 254, 167, 100, 28, 236, 320, 43, 250, 238, 41, 336, 193, 274, 156, 293, 352, 336, 343, 104, 221, 315, 122, 88, 240, 322, 38, 5, 251, 262, 328, 24, 99, 193, 53, 315, 120, 272, 104, 247, 80, 116, 21, 65, 118, 208, 108, 159, 37, 340, 166, 32, 2, 281, 326, 355, 41, 380, 286, 360, 252, 146, 213, 260, 83, 310, 16, 19, 141, 129, 13, 152, 224, 317, 10, 156, 322, 317, 176, 173, 134, 93, 36, 229, 216, 231, 133, 117, 121, 373, 402, 296, 155, 407, 207, 210, 219, 432, 266, 242, 352, 148, 211, 157, 186, 381, 154, 34, 256, 144, 100, 135, 150, 236, 44, 24, 388, 42, 150, 229, 69, 79, 372, 333, 366, 13, 138, 299, 188, 145, 95, 206, 256, 72, 173, 447, 122, 141, 329, 392, 95, 178, 383, 387, 188, 34, 249, 111, 395, 279, 484, 322, 50, 227, 280, 359, 220, 136, 353, 168, 47, 77, 135, 294, 392, 425, 400, 9, 437, 140, 427, 73, 479, 478, 167, 189, 142, 462, 356, 527, 521, 488, 488, 331, 415, 115, 423, 92, 68, 483, 273, 201, 384, 495, 267, 264, 193, 101, 339, 427, 425, 61, 348, 316, 16, 509, 153, 559, 353, 93, 512, 442, 504, 148, 472, 400, 538, 198, 335, 199, 146, 463, 217, 553, 301, 282, 181, 351, 529, 35, 222, 196, 439, 10, 582, 534, 494, 467, 410, 500, 130, 372, 439, 70, 272, 135, 507, 554, 18, 455, 579, 96, 452, 576, 437, 392, 299, 305, 217, 124, 151, 512, 122, 175, 381, 599, 383, 520, 579, 233, 134, 434, 395, 415, 7, 495, 475, 608, 297, 468, 485, 313, 588, 183, 352, 569, 190, 622, 86, 513, 481, 242, 174, 604, 263, 534, 44, 255, 525, 627, 228, 455, 427, 36, 606, 319, 561, 311, 74, 138, 235, 246, 532, 121, 386, 491, 638, 552, 593, 436, 397, 90, 175, 503, 288, 144, 272, 83, 396, 270, 36, 221, 84, 126, 45, 511, 450, 107, 426, 284, 501, 452, 107, 541, 214, 128, 422, 65, 204, 480, 437, 234, 448, 298, 324, 19, 146, 40, 524, 339, 128, 482, 176, 519, 545, 658, 276, 106, 606, 284, 346, 455, 609, 582, 88, 218, 715, 708, 473, 513, 383, 359, 379, 267, 272, 382, 509, 635, 386, 562, 328, 171, 40, 613, 678, 134, 557, 605, 30, 228, 228, 381, 380, 11, 382, 545, 628, 4, 173, 129, 644, 368, 137, 112, 762, 30, 478, 346, 442, 518, 375, 186, 45, 96, 197, 516, 308, 20, 709, 328, 288, 778, 217, 455, 479, 186, 772, 577, 664, 464, 148, 603, 155, 171, 300, 661, 496, 160, 489, 211, 498, 432, 462, 562, 801, 471, 624, 492, 386, 789, 5, 247, 527, 25, 791, 593, 238, 709, 584, 569, 217, 700, 154, 611, 743, 688, 530, 500, 815, 749, 153, 671, 206, 665, 790, 603, 826, 195, 334, 420, 628, 279, 469, 78, 621, 749, 178, 5, 817, 736, 157, 835, 175, 797, 651, 533, 807, 361, 28, 226, 58, 675, 671, 69, 574, 597, 726, 388, 412, 614, 162, 135, 622, 431, 477, 631, 617, 838, 880, 826, 601, 696, 488, 11, 345, 440, 344, 754, 266, 60, 771, 639, 760, 271, 704, 260, 567, 188, 280, 643, 736, 71, 75, 11, 115, 42, 178, 350, 906, 76, 607, 804, 854, 5, 628, 534, 818, 372, 286, 162, 295, 187, 774, 211, 259, 398, 61, 382, 493, 209, 287, 494, 406, 19, 536, 445, 826, 653, 114, 765, 903, 568, 114, 316, 476, 316, 242, 702, 150, 517, 685, 484, 665, 195, 610, 570, 693, 17, 527, 396, 660, 926, 596, 960, 149, 8, 732, 114, 848, 579, 236, 800, 779, 713, 718, 864, 73, 639}
Returns: 9868
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Returns: 6953
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Returns: 19573
{0, 0, 0, 0, 0, 3, 0, 0, 5, 2, 1, 0, 4, 8, 3, 2, 5, 0, 2, 0, 5, 4, 1, 6, 4, 8, 8, 2, 6, 1, 5, 2, 0, 3, 1, 4, 4, 1, 2, 5, 8, 6, 4, 8, 3, 5, 0, 8, 1, 1, 7, 5, 5, 7, 3, 7, 4, 4, 6, 7, 7, 5, 5, 4, 8, 2, 8, 2, 6, 4, 3, 5, 2, 3, 2, 5, 3, 1, 8, 8, 4, 0, 4, 2, 8, 6, 4, 4, 3, 5, 6, 8, 7, 6, 4, 0, 7, 1, 6, 3, 5, 6, 7, 7, 0, 0, 0, 5, 5, 2, 3, 5, 7, 7, 3, 3, 0, 8, 8, 1, 7, 8, 1, 1, 4, 4, 0, 4, 7, 3, 5, 6, 0, 7, 2, 6, 5, 2, 4, 1, 3, 5, 5, 8, 8, 7, 4, 2, 0, 7, 8, 3, 7, 2, 3, 5, 7, 6, 5, 7, 3, 6, 8, 3, 7, 8, 2, 1, 0, 3, 0, 8, 4, 1, 4, 2, 8, 8, 1, 8, 4, 1, 0, 6, 0, 8, 7, 4, 7, 1, 3, 4, 4, 0, 0, 4, 3, 1, 6, 2, 0, 7, 4, 6, 3, 7, 4, 8, 5, 2, 4, 0, 1, 7, 7, 8, 0, 0, 7, 7, 1, 7, 5, 8, 7, 4, 7, 3, 1, 0, 2, 1, 7, 3, 6, 3, 0, 8, 7, 7, 5, 6, 2, 6, 4, 2, 2, 5, 8, 7, 1, 2, 8, 6, 0, 1, 4, 5, 2, 8, 8, 8, 4, 7, 7, 7, 3, 6, 5, 1, 5, 6, 4, 7, 5, 4, 4, 2, 6, 1, 5, 2, 4, 1, 3, 6, 3, 0, 1, 4, 5, 8, 8, 7, 5, 1, 3, 8, 2, 6, 5, 1, 2, 2, 0, 5, 4, 7, 4, 7, 8, 0, 7, 0, 2, 1, 8, 7, 4, 5, 2, 5, 6, 2, 1, 7, 4, 3, 7, 4, 7, 2, 4, 3, 7}
Returns: 31134
{0, 1, 1, 1, 1, 4, 3, 7, 1, 5, 1, 5, 2, 1, 0, 7, 7, 7, 2, 1, 4, 3, 3, 7, 5, 7, 5, 3, 2, 8, 2, 5, 5, 5, 3, 1, 3, 5, 4, 5, 0, 2, 1, 8, 4, 3, 6, 6, 1, 0, 1, 0, 1, 1, 2, 6, 7, 0, 1, 1, 5, 8, 5, 1, 2, 6, 0, 7, 4, 8, 8, 5, 7, 3, 0, 2, 6, 4, 0, 2, 8, 4, 6, 8, 1, 5, 5, 1, 2, 4, 0, 3, 5, 4, 2, 0, 2, 8, 2, 0, 0, 5, 5, 4, 6, 0, 6, 5, 4, 0, 3, 5, 4, 1, 6, 5, 4, 7, 5, 2, 2, 1, 2, 2, 6, 4, 8, 0, 8, 5, 0, 4, 8, 0, 5, 2, 7, 7, 0, 2, 0, 5, 6, 4, 6, 3, 7}
Returns: 3123
{0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1}
Returns: 4020
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
Returns: 396495
{0, 1, 1, 1, 0, 1, 6, 0, 5, 1, 3, 4, 4, 0, 3, 0, 6, 4, 4, 1, 1, 6, 6, 4, 2, 2, 3, 3, 5, 5, 4, 5, 1, 6, 3, 3, 5, 4, 4, 5, 2, 1, 3, 6, 4, 4, 0, 1, 0, 0, 2, 6, 1, 5, 4, 4, 2, 1, 4, 6, 3, 1, 0, 3, 3, 5, 5, 4, 2, 5, 3, 6, 5, 4, 1, 4, 3, 4, 5, 2, 5, 5, 2, 4, 3, 2, 5, 0, 2, 5, 2, 0, 4, 5, 4, 5, 0, 5, 4, 6, 0, 2, 5, 4, 6, 1, 6, 6, 3, 4, 5, 0, 4, 3, 2, 5, 5, 4, 3, 5, 4, 4, 2, 6, 6, 0, 6, 1, 4, 6, 0, 1, 2, 0, 2, 3, 4, 2, 3, 0, 3, 2, 2, 6, 1, 0, 5, 4, 1, 1, 2, 3, 5, 5, 6, 5, 2, 2, 0, 5, 0, 2, 3, 2, 3, 6, 2, 6, 5, 1, 2, 1, 2, 5, 4, 4, 0, 4, 3, 4, 3, 3, 6, 4, 0, 5, 1, 1, 5, 2, 2, 2, 1, 5, 3, 4, 5, 3, 4, 3, 1, 3, 1, 0, 5, 0, 6, 4, 6, 5, 5, 1, 6, 5, 0, 6, 1, 3, 2, 4, 0, 3, 6, 6, 1, 5, 6, 6, 0, 3, 6, 4, 6, 6, 6, 2, 5, 2, 4, 1, 2, 4, 6, 2, 0, 0, 5, 1, 3, 5, 4, 3, 2, 0, 0, 3, 4, 3, 6, 4, 2, 0, 6, 5, 6, 6, 4, 4, 4, 1, 5, 2, 5, 3, 5, 0}
Returns: 15149
{0, 0, 1, 1, 1, 1, 5, 4, 0, 1, 0, 1, 2, 5, 0, 0, 5, 3, 0, 3, 2, 2, 2, 1, 4, 3, 5, 0, 3, 5, 5, 0, 4, 3, 0, 5, 0, 2, 4, 2, 3, 4, 4, 1, 0, 4, 5, 0, 5, 5, 4, 4, 5, 2, 3, 5, 1, 2, 0, 5, 5, 4, 4, 1, 4, 0, 5, 4, 1, 5, 1, 2, 2, 1, 5, 5, 3, 1, 1, 1, 0, 3, 2, 1, 3, 1, 5, 5, 4, 3, 5, 3, 0, 4, 2, 0, 5, 0, 1, 5, 2, 3, 5, 2, 5, 3, 4, 3, 1, 3, 1, 3, 4, 3, 2, 3, 4, 1, 1, 0, 0, 3, 4, 4, 2, 2, 4, 5, 3, 0, 5, 5, 4, 3, 2, 3, 5, 3, 1, 3, 4, 2, 4, 0, 1, 1, 4, 3, 2, 2, 0, 0, 0, 3, 1, 2, 1, 4, 4, 3, 3, 4, 2, 1, 3, 3, 3, 1, 0, 3, 4, 1, 5, 3, 5, 5, 5, 0, 2, 3, 3, 0, 0, 4, 0, 3, 1, 0, 5, 1, 5, 0, 0, 4, 0, 3, 2, 0, 5, 0, 2, 0, 5, 1, 2, 5, 1, 1, 3, 4, 3, 0, 4, 0, 3, 3, 4, 3, 5, 3, 3, 2, 3, 0, 5, 5, 5, 5, 3, 2, 5, 2, 4, 2, 0, 2, 0, 4, 4, 3, 3, 1, 0, 2, 1, 5, 0, 1, 4, 5, 2, 0, 5, 1, 0, 4, 5, 2, 3, 2, 3, 1, 4, 1, 0, 2, 0, 0, 3, 4, 4, 4, 0, 5, 1, 2, 0, 1, 0, 2, 4, 3, 5, 5, 3, 1, 0, 4, 3, 0, 5, 5, 3, 5, 3, 0, 5, 0, 1, 2, 1, 5, 2, 2, 1, 2, 2, 2, 0, 4, 1, 1, 0, 5, 5, 1, 4, 0, 0, 5, 2, 0, 5, 0, 4, 2, 1, 0, 4, 3, 1, 2, 2, 2, 2, 4, 4, 3, 3, 1, 2, 1, 2, 1, 2, 3, 5, 4, 1, 0, 4, 1, 4, 4, 5, 3, 3, 3, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 5, 0, 0, 5, 2, 3, 4, 1, 0, 1, 3, 2, 5, 4, 2, 1, 0, 1, 2, 0, 5, 3, 0, 5, 3, 4, 3, 2, 4, 4, 4, 2, 0, 4, 5, 5, 5, 0, 5, 0, 5, 1, 2, 3, 2, 5, 4, 0, 0, 3, 2, 0, 5, 1, 1, 1, 3, 0, 4, 2, 5, 4, 1, 3, 3, 5, 2, 2, 2, 1, 1, 1, 5, 5, 0, 5, 1, 3, 3, 1, 0, 1, 0, 4, 1, 1, 1, 2, 2, 4, 4, 1, 3, 1, 5, 0, 3, 0, 5, 2, 5, 4, 5, 4, 4, 4, 5, 3, 2, 4, 2, 1, 2, 5, 2, 5, 2, 0, 0, 5, 4, 5, 5, 4, 3, 2, 2, 0, 4, 0, 3, 3, 3, 1, 4, 4, 4, 4, 2, 2, 4, 3, 4, 0, 4, 4, 2, 1, 1, 0, 3, 3, 3, 1, 1, 2, 2, 0, 3, 2, 4, 0, 1, 1, 3, 3, 2, 4, 4, 0, 1, 0, 4, 4, 0, 3, 4, 2, 4, 3, 2, 4, 4, 3, 5, 5, 4, 2, 4, 1, 3, 2, 4, 3, 4, 2, 3, 4, 4, 2, 5, 3, 3, 5, 5, 4, 4, 3, 1, 0, 5, 0, 3, 0, 1, 4, 2, 2, 3, 2, 3, 1, 0, 5, 2, 2, 1, 0, 5, 1, 2, 4, 0, 4, 1, 4, 2, 2, 3, 1, 1, 4, 0, 0, 5, 1, 4, 5, 1, 3, 5, 4, 2, 0, 1}
Returns: 65504
{0, 1, 0, 1, 3, 2, 3, 4, 4, 9, 3, 8, 6, 4, 6, 7, 8, 3, 4, 2, 1, 5, 7, 3, 1, 1, 2, 8, 7, 5, 4, 2, 9, 3, 7, 6, 0, 4, 8, 5, 3, 3, 7, 1, 9, 8, 5, 1, 2, 7, 9, 3, 1, 9, 5, 3, 9, 2, 0, 8, 9, 3, 8, 7, 7, 4, 7, 7, 5, 1, 1, 4, 7, 1, 3, 4, 2, 5, 1, 4, 1, 1, 1, 9, 9, 6, 1, 2, 6, 8, 7, 8, 7, 9, 8, 6, 2, 6, 8, 4, 6, 7, 5, 7, 8, 2, 1, 6, 4, 3, 9, 1, 3, 8, 8, 5, 0, 5, 2, 9, 1, 3, 3, 9, 5, 8, 9, 3, 4, 7, 4, 3, 6, 2, 3, 4, 3, 6, 2, 0, 8, 4, 8, 0, 8, 5, 4, 5, 0, 2, 5, 8, 6, 1, 5, 7, 8, 7, 4, 6, 0, 1, 3, 0, 4, 2, 3, 0, 5, 1, 9, 0, 8, 7, 1, 2, 5, 5, 6, 3, 3, 5, 7, 7, 8, 2, 9, 4, 9, 4, 8, 2, 8, 8, 3, 7, 7, 0, 4, 5, 8, 0, 4, 4, 2, 2, 0, 2, 1, 2, 7, 7, 9, 7, 7, 9, 7, 6, 5, 8, 7, 2, 4, 8, 7, 1, 8, 8, 9, 6, 6, 3, 9, 0, 5, 8, 1, 1, 4, 4, 8, 0, 0, 5, 7, 7, 4, 7, 8, 1, 7, 8, 9, 7, 5, 9, 6, 5, 2, 0, 6, 5, 9, 8, 8, 3, 7, 9, 6, 9, 7, 7, 1, 2, 2, 7, 2, 7, 6, 4, 9, 9, 7, 2, 9, 6, 5, 1, 2, 5, 5, 4, 8, 7, 2, 6, 2, 2, 7, 6, 7, 0, 1, 0, 0, 0, 4, 7, 3, 6, 0, 2, 0, 0, 3, 4, 4, 1, 6, 9, 6, 4, 6, 9, 8, 7, 7, 0, 6, 0, 8, 9, 7, 8, 7, 3, 1, 5, 8, 8, 7, 1, 8, 0, 5, 0, 3, 2, 3, 0, 9, 1, 2, 5, 2, 6, 8, 2, 6, 4, 1, 2, 9, 5, 7, 4, 3, 3, 7, 0, 4, 7, 0, 5, 0, 8, 3, 9, 8, 6, 0, 7, 5, 0, 4, 7, 3, 1, 2, 9, 2, 1, 3, 6, 3, 0, 6, 5, 1, 9, 0, 7, 5, 0, 2, 9, 5, 6, 6, 0, 4, 5, 6, 0, 2, 8, 3, 7, 3, 4, 8, 1, 8, 6, 2, 6, 6, 9, 3, 9, 9, 4, 9, 4, 5, 1, 2, 7, 8, 2, 8, 5, 4, 1, 9, 5, 8, 5, 5, 3, 3, 9, 9, 5, 8, 0, 3, 9, 4, 0, 3, 6, 1, 9, 1, 3, 4, 3, 1, 0, 0, 1, 0, 1, 1, 3, 8, 7, 9, 5, 6, 3, 2, 5, 0, 6, 4, 1, 1, 6, 1, 2, 2, 7, 3, 8, 1, 5, 5, 7, 1, 3, 1, 8, 5, 0, 7, 4, 9, 6, 4, 3, 5, 5, 2, 8, 6, 4, 9, 7, 7, 7, 9, 1, 7, 5, 2, 0, 8, 9, 9, 1, 4, 6, 4, 2, 4, 5, 3, 1, 8, 5, 4, 2, 7, 5, 5, 7, 3, 4, 0, 3, 4, 4, 4, 4, 1, 8, 0, 8, 2, 4, 3, 0, 4, 4, 4, 5, 9, 0, 6, 7, 1, 7, 5, 5, 2, 7, 5, 6, 6, 0, 8, 7, 7, 3, 3, 1, 2, 2, 0, 4, 7, 6, 5, 8, 1, 9, 1, 7, 4, 1, 3, 7, 7, 6, 5, 9, 5, 5, 8, 7, 8, 6, 2, 8, 8, 8, 3, 7, 0, 3, 2, 6, 1, 7, 4, 9, 7, 4, 6, 8, 9, 1, 3, 2, 0, 9, 3, 0, 3, 6, 8, 6, 0, 2, 6, 2, 6, 7, 5, 6, 6, 0, 4, 9, 2, 3, 7, 6, 4, 4, 4, 6, 8, 4, 6, 8, 6, 7, 1, 2, 9, 0, 1, 1, 5, 8, 2, 8, 4, 4, 0, 5, 1, 8, 9, 9, 4, 0, 5, 0, 6, 4, 1, 1, 8, 8, 5, 5, 6, 6, 8, 7, 2, 0, 4, 4, 8, 6, 7, 4, 7, 2, 1, 3, 2, 0, 6, 0, 5, 6, 5, 1, 9, 2, 4, 1, 6, 6, 5, 6, 0, 4, 0, 3, 4, 4, 1, 7, 0, 2, 1, 7, 2, 6, 7, 2, 6, 5, 8, 7, 7, 5, 2, 3, 8, 8, 2, 8, 2, 2, 4, 8, 7, 6, 0, 0, 2, 2, 4, 8, 5, 8, 0, 7, 5, 3, 3, 2, 6, 3, 0, 3, 8, 6, 2, 0, 2, 9, 4, 7, 5, 3, 0, 5, 0, 5, 9, 0, 3, 1, 0, 8, 7, 0, 6, 0, 8, 0, 4, 1, 4, 5, 7, 4, 3, 6, 1, 1, 9, 6, 2, 6, 4, 7, 1, 8, 3, 8, 1, 1, 4, 4, 8, 6, 1, 1, 5, 7, 7, 0, 3, 3, 4, 4, 9, 3, 4, 2, 3, 9, 8, 9, 8, 8, 6, 5, 5, 1, 2, 1, 6, 9, 1, 7, 8, 9, 3, 6, 6, 8, 6, 3, 4, 8, 4, 8, 3, 3, 8, 3, 7, 1, 4, 9, 0}
Returns: 48994
{0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0}
Returns: 43665
{0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1}
Returns: 121320
{0, 1, 1, 1, 4, 4, 6, 2, 0, 1, 0, 0, 7, 3, 0, 1, 7, 6, 2, 0, 4, 5, 2, 2, 4, 5, 6, 5, 5, 0, 0, 7, 6, 5, 1, 3, 7, 3, 3, 3, 2, 3, 0, 0, 6, 3, 0, 4, 6, 0, 1, 0, 1, 0, 2, 2, 1, 7, 6, 5, 0, 4, 0, 6, 5, 0, 2, 7, 4, 4, 4, 3, 7, 2, 6, 6, 4, 1, 2, 3, 1, 5, 5, 2, 1, 1, 3, 7, 7, 2, 1, 3, 3, 2, 5, 6, 1, 7, 5, 0, 7, 7, 4, 4, 2, 1, 3, 3, 0, 1, 3, 2, 5, 4, 2, 0, 3, 5, 7, 6, 5, 4, 2, 1, 3, 0, 5, 6, 3, 7, 2, 7, 6, 4, 4, 1, 4, 2, 5, 3, 5, 6, 3, 6, 5, 4, 3, 5, 1, 4, 3, 0, 1, 3, 4, 4, 4, 2, 1, 5, 3, 6, 3, 3, 2, 0, 2, 0, 2, 6, 2, 0, 0, 2, 7, 5, 3, 5, 0, 2, 0, 7, 6, 6, 0, 2, 4, 3, 7, 5, 1, 5, 4, 0, 6, 0, 6, 4, 1, 4, 6, 3, 5, 0, 6, 3, 6, 3, 4, 7, 7, 1, 3, 4, 6, 4, 2, 6, 6, 3, 7, 0, 3, 1, 4, 3, 5, 0, 2, 7, 6, 7, 3, 6, 2, 4, 0, 4, 2, 0, 2, 5, 6, 6, 0, 7, 2, 3, 5, 6, 3, 5, 1, 3, 1, 1, 1, 7, 7, 1, 3, 5, 3, 1, 7, 6, 1, 4, 0, 2, 7, 6, 5, 7, 3, 6, 6, 7, 1, 6, 3, 2, 6, 3, 7, 7, 0, 2, 7, 5, 7, 3, 3, 5, 3, 3, 7, 3, 4, 3, 1, 0, 2, 7, 7, 0, 3, 2, 3, 3, 3, 1, 1, 3, 7, 6, 5, 2, 6, 5, 6, 7, 7, 1, 3, 6, 5, 1, 6, 4, 5, 0, 6, 1, 2, 0, 2, 7, 1, 6, 5, 1, 0, 4, 0, 0, 3, 2, 1, 0, 6, 0, 0, 7, 6, 4, 1, 5, 6, 3, 4, 0, 1, 0, 4, 6, 6, 5, 7, 5, 3, 6, 3, 0, 1, 0, 1, 6, 5, 2, 7, 4, 6, 1, 5, 4, 7, 5, 7, 1, 2, 3, 5, 0, 5, 7, 4, 0, 4, 5, 5, 0, 6, 4, 0, 6, 2, 5, 6, 4, 4, 5, 4, 6, 2, 6, 7, 0, 3, 5, 1, 5, 0, 2, 1, 7, 2, 4, 1, 0, 4, 7, 4, 7, 6, 1, 0, 2, 2, 0, 2, 1, 3, 2, 7, 3, 4, 1, 1, 4, 0, 3, 6, 6, 2, 4, 1, 6, 4, 3, 3, 7, 3, 5, 0, 7, 6, 7, 4, 5, 4, 6, 7, 4, 2, 0, 7, 7, 6, 2, 0, 2, 2, 0, 6, 0, 2, 1, 6, 3, 6, 5, 2, 4, 7, 3, 4, 7, 2, 4, 0, 7, 1, 6, 6, 6, 0, 5, 4, 7, 7, 5, 3, 3, 7, 4, 1, 7, 7, 6, 3, 4, 3, 5, 6, 7, 0, 3, 1, 2, 1, 2, 7, 1, 2, 4, 1, 1, 4, 2, 0, 3, 6, 7, 7, 4, 1, 5, 6, 4, 4, 4, 7, 2, 1, 5, 3, 1, 4, 7, 3, 5, 2, 7, 0, 3, 2, 7, 3, 0, 4, 6, 0, 3, 2, 7, 1, 0, 5, 3, 2, 2, 4, 6, 1, 6, 3, 4, 4, 2, 7, 7, 4, 0, 4, 2, 2, 7, 3, 6, 4, 1, 0, 0, 4, 4, 1, 6, 7, 1}
Returns: 36943
{0, 0, 1, 3, 4, 5, 0, 6, 8, 8, 3, 9, 2, 2, 8, 6, 5, 9, 7, 9, 1, 4, 7, 8, 8, 6, 0, 1, 2, 1, 4, 8, 2, 3, 8, 9, 2, 4, 5, 1, 0, 7, 7, 6, 7, 4, 4, 9, 4, 1, 2, 8, 9, 8, 7, 6, 8, 1, 6, 7, 0, 8, 9, 5, 6, 2, 4, 7, 3, 3, 8, 1, 8, 2, 8, 6, 1, 4, 0, 7, 8, 7, 7, 3, 3, 6, 7, 7, 6, 4, 8, 8, 0, 4, 8, 6, 0, 4, 6, 2, 5, 3, 5, 5, 0, 7, 6, 3, 6, 2, 5, 7, 4, 5, 2, 6, 2, 1, 0, 4, 7, 7, 5, 5, 8, 8, 5, 4, 8, 9, 1, 9, 7, 3, 9, 2, 6, 4, 0, 3, 6, 6, 6, 4, 0, 8, 9, 2, 3, 6, 2, 8, 1, 5, 8, 7, 9, 6, 7, 4, 3, 2, 9, 6, 3, 9, 5, 5, 4, 3, 1, 2, 2, 4, 5, 1, 6, 3, 8, 4, 8, 4, 7, 0, 2, 4, 9, 2, 8, 9, 4, 8, 5, 4, 7, 8, 5, 9, 7, 6, 6, 6, 0, 6, 3, 2, 0, 4, 8, 3, 9, 4, 5, 7, 6, 8, 8, 3, 2, 5, 5, 6, 6, 1, 2, 9, 8, 4, 9, 1, 8, 1, 9, 6, 1, 3, 7, 7, 0, 4, 1, 7, 2, 9, 6, 9, 7, 4, 8, 9, 8, 5, 1, 7, 8, 3, 3, 9, 6, 4, 0, 7, 1, 9, 3, 7, 7, 5, 5, 2, 6, 3, 6, 1, 2, 2, 2, 7, 5, 0, 3, 4, 6, 4, 7, 0, 1, 1, 6, 4, 3, 8, 8, 3, 8, 4, 6, 9, 6, 8, 2, 7, 3, 4, 4, 0, 6, 6, 1, 9, 3, 5, 5, 5, 7, 6, 1, 2, 7, 2, 9, 1, 5, 8, 0, 9, 1, 4, 1, 2, 9, 1, 9, 3, 3, 4, 6, 0, 1, 9, 2, 0, 3, 3, 7, 5, 2, 4, 5, 8, 8, 3, 0, 6, 0, 7, 1, 7, 7, 2, 3, 2, 9, 0, 2, 2, 4, 9, 4, 3, 1, 0, 0, 5, 9, 2, 8, 5, 9, 2, 0, 3, 8, 1, 2, 0, 8, 9, 0, 3, 2, 8, 7, 3, 0, 1, 5, 3, 2, 7, 5, 3, 3, 6, 3, 9, 9, 3, 5, 5, 6, 8, 1, 7, 6, 8, 7, 2, 3, 4, 8, 3, 7, 1, 7, 6, 4, 3, 8, 4, 8, 8, 1, 7, 2, 8, 6, 6, 5, 3, 8, 4, 3, 7, 2, 2, 7, 1, 8, 2, 8, 4, 9, 5, 0, 4, 1, 2, 6, 0, 1, 1, 4, 4, 0, 9, 0, 9, 8, 5, 5, 6, 5, 7, 8, 1, 8, 7, 9, 8, 9, 0, 4, 8, 5, 6, 5, 1, 8, 8, 4, 0, 1, 7, 1, 5, 9, 6, 0, 9, 0, 3, 2, 4, 4, 5, 7, 9, 6, 6, 0, 8, 2, 1, 7, 1, 5, 9, 3, 1, 0, 4, 4, 6, 9, 6, 1, 2, 5, 4, 1, 7, 8, 2, 3, 4, 3, 4, 9, 8, 8, 3, 2, 9, 6, 2, 0, 1, 4, 4, 7, 9, 0, 2, 6, 2, 8, 1, 8, 8, 9, 0, 6, 9, 2, 3, 7, 7, 8, 7, 9, 7, 1, 5, 1, 4, 4, 5, 5, 6, 7, 3, 7, 1, 6, 5, 7, 5}
Returns: 10544
{0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0}
Returns: 29237
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
Returns: 20910
{0, 1, 0, 0, 2, 3, 6, 6, 0, 6, 7, 10, 8, 3, 6, 6, 6, 10, 10, 9, 7, 6, 5, 7, 7, 9, 7, 10, 10, 4, 7, 2, 7, 0, 4, 5, 6, 5, 7, 8, 0, 4, 0, 5, 3, 0, 0, 6, 7, 4, 5, 5, 2, 9, 3, 4, 4, 9, 4, 4, 0, 8, 2, 10, 6, 1, 10, 1, 8, 10, 2, 6, 7, 5, 10, 3, 1, 5, 0, 10, 6, 8, 8, 4, 7, 2, 5, 1, 5, 0, 2, 1, 1, 4, 4, 7, 6, 3, 8, 3, 1, 4, 4, 9, 7, 9, 1, 1, 1, 10, 2, 1, 6, 0, 5, 4, 5, 5, 4, 2, 6, 5, 1, 6, 8, 7, 5, 7, 10, 0, 1, 5, 3, 0, 8, 2, 0, 3, 8, 2, 10, 3, 0, 8, 9, 3, 9, 8, 5, 4, 0, 1, 3, 1, 1, 8, 0, 2, 3, 3, 10, 5, 6, 5, 9, 2, 7, 2, 1, 6, 9, 2, 10, 9, 3, 7, 3, 5, 2, 4, 4, 2, 5, 2, 9, 6, 1, 9, 5, 9, 9, 7, 8, 10, 3, 8, 6, 2, 6, 6, 5, 0, 7, 4, 3, 9, 8, 2, 10, 4, 7, 2, 10, 7, 5, 1, 1, 4, 2, 1, 7, 4, 0, 4, 0, 4, 6, 4, 5, 4, 8, 7, 10, 4, 5, 0, 1, 7, 3, 2, 5, 0, 9, 7, 8, 1, 8, 10, 4, 2, 7, 1, 2, 2, 0, 9, 2, 0, 6, 4, 3, 5, 4, 3, 8, 9, 5, 4, 6, 4, 3, 4, 6, 5, 6, 6, 10, 0, 10, 0, 2, 0, 5, 9, 6, 4, 1, 10, 5, 4, 6, 3, 10, 3, 4, 1, 7, 10, 6, 1, 8, 2, 4, 5, 9, 2, 4, 1, 8, 5, 7, 1, 10, 9, 8, 8, 4, 5, 1, 4, 10, 2, 2, 9, 6, 5, 3, 2, 0, 5, 5, 5, 1, 2, 7, 8, 0, 2, 2, 1, 1, 10, 9, 9, 5, 2, 8, 4, 2, 5, 8, 6, 8}
Returns: 8500
{0, 1, 2, 3, 4, 3, 3, 4, 2, 9, 2, 1, 7, 8, 0, 9, 4, 5, 1, 4, 3, 2, 3, 1, 7, 8, 7, 7, 2, 5, 0, 8, 10, 1, 6, 0, 5, 10, 10, 8, 10, 7, 4, 5, 3, 9, 8, 0, 5, 10, 2, 2, 1, 2, 7, 5, 9, 7, 1, 1, 8, 9, 2, 3, 4, 4, 1, 4, 6, 0, 10, 9, 7, 7, 6, 6, 9, 5, 0, 3, 1, 8, 7, 5, 8, 3, 0, 10, 6, 3, 4, 4, 3, 6, 3, 2, 8, 2, 8, 7, 1, 7, 9, 8, 7, 6, 2, 7, 3, 7, 1, 0, 6, 10, 5, 6, 1, 3, 6, 2, 1, 6, 4, 6, 0, 2, 2, 6, 6, 1, 0, 8, 2, 6, 3, 2, 10, 2, 4, 9, 9, 1, 7, 10, 2, 9, 10, 7, 3, 1, 10, 5, 7, 10, 1, 0, 4, 0, 3, 10, 10, 8, 1, 1, 2, 6, 3, 5, 5, 0, 2, 9, 3, 6, 6, 2, 9, 2, 1, 10, 3, 2, 7, 3, 7, 6, 7, 3, 2, 1, 3, 1, 8, 10, 6, 4, 7, 6, 0, 8, 7, 6, 0, 8, 7, 6, 9, 4, 10, 0, 8, 6, 3, 7, 5, 3, 10, 6, 3, 4, 5, 7, 10, 2, 5, 5, 7, 7, 2, 0, 4, 2, 4, 3, 1, 2, 0, 8, 8, 2, 6, 0, 8, 7, 6, 4, 0, 6, 10, 5, 5, 8, 10, 7, 4, 7, 1, 1, 9, 3, 0, 7, 1, 6, 0, 1, 2, 0, 8, 2, 6, 10, 5, 4, 0, 3, 10, 10, 2, 4, 10, 5, 7, 1, 7, 2, 3, 4, 3, 0, 7, 10, 6, 4, 8, 2, 1, 0, 2, 10, 6, 0, 1, 5, 1, 0, 10, 0, 6, 5, 6, 7, 4, 4, 4, 8, 2, 6, 1, 4, 0, 0, 4, 5, 9, 7, 6, 6, 9, 6, 7, 3, 8, 8, 10, 1, 6, 8, 8, 9, 10, 8, 5, 8, 8, 9, 0, 2, 9, 7, 10, 2, 3, 2, 7, 1, 4, 8, 1, 6, 0, 4, 10, 5, 10, 7, 6, 1, 3, 3, 7, 8, 9, 2, 2, 10, 4, 1, 6, 7, 2, 5, 5, 2, 5, 5, 9, 5, 9, 3, 6, 0, 7, 9, 4, 5, 10, 9, 6, 0, 5, 6, 0, 10, 0, 1, 8, 6, 9, 6, 2, 6, 9, 9, 9, 6, 5, 0, 4, 6, 0, 10, 9, 9, 9, 10, 2, 4, 3, 7, 9, 0, 10, 6, 5, 10, 8, 5, 2, 9, 3, 1, 5, 6, 10, 6, 9, 10, 0, 1, 4, 5, 1, 9, 2, 4, 0, 1, 8, 9, 2, 0, 2, 10, 2, 10, 5, 0, 5, 1, 9, 9, 3, 3, 8, 4, 0, 4, 0, 1, 2, 7, 9, 5, 6, 4, 8, 7, 5, 5, 5, 7, 10, 10, 0, 7, 5, 10, 9, 0, 6, 9, 2, 4, 10, 0, 2, 9, 1, 1, 0, 2, 4, 10, 8, 5, 7, 7, 6, 2, 9, 4, 10, 2, 9, 10, 10, 7, 0, 6, 4, 3, 4, 1, 8, 6, 9, 4, 10, 5, 10, 1, 4, 8, 9, 2, 3, 1, 6, 8, 10, 9, 2, 6, 2, 6, 1, 2, 7, 0, 8, 5, 7, 1, 9, 9, 8, 7, 1, 2, 2, 1, 2, 8, 10, 4, 10, 9, 4, 0, 10, 0, 3, 5, 3, 9, 5, 4, 9, 2, 2, 9, 8, 10, 5, 5, 2, 6, 3, 1, 6, 2, 0, 0, 4, 5, 2, 8, 9, 2, 2, 8, 7, 3, 1, 4, 5, 4, 8}
Returns: 23312
{0, 1, 1, 3, 1, 1, 2, 2, 4, 0, 5, 1, 3, 3, 2, 4, 9, 7, 9, 0, 1, 5, 8, 0, 1, 5, 1, 0, 10, 0, 0, 9, 3, 5, 7, 8, 5, 6, 6, 10, 6, 4, 0, 2, 10, 4, 4, 4, 1, 5, 6, 5, 4, 7, 9, 4, 2, 7, 10, 2, 7, 2, 7, 4, 8, 9, 5, 1, 4, 6, 6, 10, 3, 8, 6, 5, 6, 7, 4, 10, 5, 10, 5, 7, 4, 3, 0, 1, 6, 10, 8, 10, 0, 2, 8, 8, 0, 7, 5, 1, 9, 2, 9, 4, 1, 7, 6, 3, 0, 4, 7, 5, 3, 8, 2, 4, 8, 0, 7, 2, 8, 2, 0, 1, 6, 5, 6, 1, 3, 0, 10, 5, 10, 0, 5, 4, 2, 1, 7, 7, 5, 6, 7, 0, 5, 10, 10, 7, 1, 9, 9, 10, 1, 1, 9, 8, 9, 1, 4, 4, 5, 5, 2, 4, 4, 7, 0, 10, 2, 4, 3, 4, 8, 1, 2, 8, 10, 9, 7, 0, 5, 4, 4, 9, 0, 2, 8, 10, 10, 1, 6, 4, 4, 3, 9, 6, 6, 8, 3, 5, 3, 6, 1, 3, 3, 10, 9, 5, 7, 10, 8, 2, 8, 6, 10, 6, 8, 8, 2, 5, 7, 3, 1, 4, 4, 6, 9, 3, 6, 7, 8, 3, 5, 3, 2, 10, 2, 1, 9, 9, 4, 6, 1, 9, 10, 1, 4, 8, 4, 10, 2, 6, 5, 5, 7, 5, 1, 9, 0, 5, 3, 0, 6, 5, 6, 10, 7, 9, 7, 2, 4, 0, 4, 7, 6, 0, 2, 9, 8, 6, 4, 6, 0, 8, 9, 6, 5, 7, 9, 5, 4, 0, 8, 4, 9, 10, 2, 5, 5, 2, 5, 5, 9, 1, 9, 3, 10, 9, 8, 7, 10, 2, 10, 1, 1, 5, 9, 9, 6, 10, 1, 5, 8, 5, 0, 2, 1, 6, 0, 4, 2, 9, 10, 1, 5, 9, 7, 4, 6, 6, 2, 5, 1, 1, 3, 5, 1, 8, 9, 8, 1, 5, 6, 3, 0, 3, 7, 0, 5, 0, 0, 10, 2, 1, 10, 10, 9, 3, 5, 0, 6, 1, 0, 10, 4, 6, 5, 8, 2, 5, 1, 4, 1, 0, 7, 0, 4, 2, 2, 0, 3, 7, 1, 3, 2, 8, 0, 7, 8, 9, 9, 5, 3, 4, 6, 8, 3, 6, 10, 2, 5, 5, 2, 2, 9, 7, 10, 6, 5, 10, 5, 10, 4, 2, 10, 0, 7, 0, 2, 10, 2, 3, 5, 1, 6, 3, 5, 10, 1, 4, 1, 5, 1, 4, 5, 1, 6, 5, 5, 8, 6, 7, 9, 9, 6, 4, 3, 3, 2, 7, 6, 10, 6, 4, 0, 4, 8, 5, 2, 4, 7, 7, 7, 5, 10, 4, 8, 1, 10, 10, 0, 6, 5, 5, 10, 9, 8, 5, 10, 0, 0, 10, 7, 6, 0, 0, 9, 6, 8, 3, 5, 9, 2, 10, 4, 7, 3, 3, 1, 2, 2, 10, 7, 10, 9, 2, 8, 7, 5, 5, 10, 5, 9, 4, 7, 7, 3, 8, 8, 9, 6, 10, 3, 4, 5, 9, 6, 9, 2, 5, 9, 6, 3, 4, 3, 0, 0, 6, 7, 3, 9, 1, 3, 8, 10, 8, 1, 10, 7, 5, 9, 6, 5, 7, 2, 0, 6, 3, 2, 0, 10, 9, 9, 7, 9, 4, 8, 3, 10, 6, 1, 5, 9, 9, 6, 10, 8, 4, 2, 8, 3, 0, 6, 5, 5, 6, 5, 2, 10, 5, 0, 1, 8, 9, 0, 4, 4, 7, 8, 6, 0, 0, 0, 6, 3, 3, 3, 1, 0, 6, 6, 4, 0, 2, 9, 2, 10, 5, 5, 10, 4, 10, 1, 0, 2, 8, 1, 4, 0, 2, 3, 9, 1, 0, 7, 4, 2, 7, 3, 3, 8, 5, 7, 5, 6, 5, 10, 0, 3, 3, 0, 1, 4, 10, 1, 3, 9, 10, 1, 2, 6, 1, 9, 4, 9, 10, 4, 4, 2, 4, 10, 7, 9, 9, 9, 10, 8, 3, 3, 0, 0, 7, 10, 10, 5, 5, 3, 4, 1, 1, 2, 0, 2, 1, 9, 1, 10, 10, 2, 0, 4, 4, 7, 10, 1, 3, 2, 10, 2, 1, 4, 10, 2, 4, 5, 3, 0, 6, 1, 10, 6, 4, 5, 10, 2, 3, 8, 7, 1, 2, 8, 10, 9, 0, 4, 10, 0, 6, 3, 6, 3, 10, 2, 5, 4, 9, 6, 6, 4, 1, 2, 3, 4, 2, 6, 9, 4, 7, 2, 3, 6, 0, 0, 0, 5, 1, 8, 0, 1, 8, 4, 9, 8, 9, 10, 2, 8, 6, 9, 0, 8, 9, 9, 1, 0, 10, 8, 9, 10, 6, 0, 9, 0, 6, 0, 9, 7, 0, 1, 8, 1, 10, 8, 3, 0, 6, 3, 2, 9, 2, 1, 0, 5, 10, 7, 3, 1, 10, 7, 3, 6, 5, 3, 9, 6, 5, 4, 5, 0, 10, 9, 8, 10, 7, 9, 9, 0, 8, 10, 6, 10, 7, 3, 6, 0, 5, 7, 8, 8, 4, 5, 3, 10, 9, 5, 0, 3, 8, 0, 5, 2, 3, 10, 6, 3, 5, 8, 7, 5, 9, 9, 2, 7, 5, 8, 5, 3, 10, 0, 7, 6, 8, 3, 8, 7, 0, 8, 0, 9, 2, 2, 3, 7, 6, 7, 10, 3, 1, 2, 7, 7, 3, 0, 4, 5, 6, 3, 3, 0, 7, 9}
Returns: 75543
{0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 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, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 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, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1}
Returns: 219765
{0, 1, 0, 0, 4, 0, 0, 2, 3, 4, 0, 1, 1, 0, 2, 4, 0, 3, 0, 3, 1, 2, 3, 2, 2, 4, 1, 0, 4, 1, 4, 4, 1, 3, 0, 2, 3, 4, 0, 3, 1, 4, 1, 2, 3, 0, 4, 0, 2, 2, 4, 2, 1, 3, 0, 1, 0, 0, 0, 3, 3, 0, 2, 3, 2, 4, 4, 2, 2, 4, 1, 2, 2, 1, 0, 3, 1, 1, 1, 3, 0, 2, 1, 0, 4, 2, 3, 4, 3, 4, 3, 4, 2, 1, 1, 4, 0, 1, 2, 3, 2, 2, 4, 1, 4, 3, 0, 3, 4, 1, 4, 4, 1, 0, 4, 4, 3, 0, 1, 2, 0, 4, 4, 3, 1, 4, 4, 3, 1, 1, 3, 0, 3, 4, 1, 4, 3, 0, 3, 4, 1, 1, 0, 0, 3, 3, 3, 0, 4, 0, 1, 0, 0, 3, 2, 2, 0, 4, 1, 1, 4, 4, 4, 4, 0, 1, 2, 2, 3, 1, 3, 3, 2, 2, 1, 1, 2, 2, 0, 1, 3, 0, 2, 0, 1, 3, 0, 0, 1, 3, 1, 1, 4, 3, 3, 1, 1, 3, 4, 2, 0, 3, 4, 0, 1, 2, 4, 3, 1, 4, 1, 0, 0, 1, 1, 3, 4, 3, 1, 4, 2, 2, 4, 0, 1, 0, 4, 4, 0, 3, 2, 0, 4, 2, 3, 1, 2, 4, 4, 2, 4, 2, 4, 4, 0, 2, 1, 2, 4, 2, 2, 4, 2, 0, 2, 1, 3, 2, 4, 2, 3, 4, 0, 4, 3, 2, 3, 4, 2, 0, 2, 1, 2, 0, 4, 1, 3, 1, 4, 2, 4, 0, 3, 4, 4, 0, 3, 4, 3, 0, 0, 2, 0, 2, 4, 1, 2, 0, 3, 0, 4, 1, 3, 1, 1, 0, 2, 1, 1, 4, 1, 3, 1, 3, 4, 0, 2, 4, 0, 4, 4, 2, 3, 1, 4, 2, 4, 2, 0, 3, 4, 3, 3, 4, 1, 1, 2, 1, 3, 4, 4, 2, 0, 2, 3, 2, 0, 4, 2, 2, 0, 4, 3, 4, 2, 3, 0, 2, 1, 2, 1, 2, 2, 0, 1, 3, 2, 3, 3, 0, 1, 0, 3, 3, 1, 3, 0, 3, 1, 4, 2, 1, 1, 2, 0, 2, 4, 1, 4, 0, 4, 3, 2, 1, 2, 2, 1, 3, 3, 0, 2, 4, 0, 1, 2, 3, 1, 1, 4, 3, 2, 0, 2, 2, 2, 3, 4, 3, 3, 4, 0, 0, 3, 3, 3, 1, 1, 3, 3, 3, 3, 2, 0, 2, 1, 2, 4, 0, 2, 4, 2, 2, 2, 3, 3, 4, 2, 2, 3, 2, 3, 2, 3, 1, 1, 4, 0, 3, 1, 4, 2, 1, 2, 3, 1, 2, 1, 2, 2, 1, 0, 3, 4, 3, 3, 4, 3, 1, 2, 1, 0, 2, 3, 2, 3, 3, 4, 1, 1, 4, 1, 0, 4, 1, 1, 3, 3, 3, 1, 2, 3, 2, 0, 4, 1, 3, 3, 0, 1, 3, 2, 2, 0, 0, 0, 1, 4, 3, 0, 3, 4, 3, 0, 2, 2, 0, 4, 1, 4, 3, 1, 4, 1, 0, 4, 2, 0, 3, 2, 1, 2, 3, 1, 3, 2, 3, 1, 1, 0, 3, 0, 1, 1, 0, 3, 3, 4, 4, 0, 2, 0, 4, 3, 2, 3, 3, 4, 2, 0, 1, 3, 0, 4, 2, 4, 1, 0, 0, 4, 2, 2, 2, 2, 4, 3, 4, 4, 4, 0, 3, 2, 4, 1, 2, 3, 4, 2, 2, 3, 3, 3, 0, 3, 4, 2, 2, 0, 3, 0, 1, 2, 4, 2, 1, 2, 4, 1, 0, 1, 2, 1, 3, 3, 1, 2, 4, 2, 1, 3, 1, 4, 1, 2, 3, 1, 4, 1, 1, 1, 4, 1, 2, 4, 4, 2, 1, 2, 3, 1, 1, 1, 3, 0, 1, 4, 1, 1, 0, 2, 0, 0, 3, 0, 0, 3, 3, 0, 4, 0, 1, 1, 0, 4, 2, 1, 3, 1, 4, 1, 1, 3, 0, 1, 3, 0, 2, 4, 2, 4, 0, 4, 3, 2, 3, 2, 3, 2, 0, 3, 4, 3, 1, 4, 4, 1, 4, 4, 2, 2, 3, 4, 0, 0, 4, 3, 3, 4, 2, 3, 2, 3, 1, 0, 4, 0, 4, 4, 0, 1, 1, 0, 3, 1, 1, 1, 0, 2, 1, 1, 4, 0, 1, 2, 3, 4, 1, 1, 4, 0, 1, 3, 0, 0, 4, 0, 3, 0, 4, 3, 3, 2, 0, 0, 1, 2, 3, 3, 2, 1, 4, 3, 3, 1, 2, 3, 0, 3, 1, 2, 4, 0, 4, 4, 0, 0, 4, 4, 0, 3, 1, 0, 1, 3, 2, 4, 3, 4, 2, 3, 1, 1, 3, 2, 0, 3, 0, 3, 0, 4, 0, 0, 3, 3, 1, 1, 1, 3, 3, 2, 3, 0, 0, 1, 1, 4, 0, 0, 0, 1, 3, 1, 1, 1, 3, 0, 2, 0, 4, 2, 3, 2, 1, 1, 2, 3, 4, 3, 4, 3, 4, 2, 0, 2, 3, 2, 2, 3, 1, 3, 0, 3, 3, 2, 3, 1, 1, 2, 0, 2, 2, 0, 1, 4, 4, 1, 3, 3, 2, 4, 4, 0, 2, 3, 0, 1, 2, 1, 0, 1, 3, 3, 4, 4, 0, 0, 2, 1, 1, 4, 3, 1, 0, 3, 3, 3, 1, 2, 0, 3, 4, 0, 2, 3, 3, 3, 2, 0, 2, 2, 4, 2, 1, 1, 3, 4, 0, 2, 1, 4, 2, 1, 4, 3, 1, 2, 0, 0, 4, 2}
Returns: 111590
{0, 1, 0, 1, 0, 3, 5, 3, 3, 1, 0, 2, 4, 0, 1, 4, 3, 2, 1, 2, 3, 3, 5, 4, 5, 1, 2, 3, 5, 2, 2, 4, 2, 1, 2, 4, 2, 0, 3, 5, 0, 1, 1, 4, 0, 2, 5, 0, 0, 4, 4, 1, 4, 3, 5, 4, 2, 5, 3, 0, 0, 1, 4, 1, 5, 0, 0, 0, 5, 3, 5, 5, 2, 1, 3, 1, 0, 1, 3, 2, 1, 0, 1, 3, 1, 4, 5, 3, 1, 2, 1, 2, 3, 0, 1, 4, 2, 2, 5, 1, 2, 4, 2, 5, 3, 2, 3, 4, 4, 3, 2, 1, 0, 1, 3, 2, 3, 2, 5, 1, 4, 2, 3, 5, 3, 3, 4, 5, 1, 0, 1, 1, 1, 2, 5, 4, 0, 0, 3, 1, 0, 5, 4, 4, 4, 0, 3, 4, 2, 3, 5, 4, 5, 4, 4, 3, 5, 3, 5, 3, 1, 3, 4, 3, 1, 2, 1, 5, 4, 1, 0, 2, 1, 0, 0, 2, 3, 1, 0, 5, 1, 2, 0, 5, 2, 1, 4, 1, 5, 0, 4, 0, 0, 5, 3, 5, 4, 2, 5, 1, 1, 4, 3, 5, 4, 4, 1, 2, 2, 1, 2, 1, 3, 2, 1, 2, 2, 0, 1, 3, 0, 1, 5, 2, 2, 5, 2, 3, 2, 3, 2, 4, 0, 2, 3, 0, 0, 2, 0, 1, 4, 0, 5, 0, 4, 3, 1, 3, 3, 0, 1, 4, 5, 4, 4, 2, 4, 5, 5, 5, 2, 4, 4, 3, 0, 0, 4, 5, 4, 5, 4, 1, 3, 3, 2, 5, 3, 4, 2, 5, 2, 3, 0, 0, 3, 4, 5, 3, 2, 5, 5, 2, 2, 1, 2, 2, 2, 3, 5, 3, 0, 3, 1, 0, 4, 2, 0, 3, 0, 0, 4, 0, 2, 0, 1, 0, 1, 2, 5, 4, 0, 5, 0, 4, 4, 3, 4, 5, 1, 2, 0, 5, 3, 4, 0, 4, 2, 5, 5, 0, 3, 2, 5, 0, 4, 0, 2, 5, 3, 1, 3, 4, 1, 1, 2, 4, 2, 3, 1, 3, 2, 1, 3, 0, 0, 5, 1, 4, 5, 5, 3, 1, 3, 4, 5, 0, 0, 1, 4, 1, 3, 0, 4, 5, 5, 1, 3, 5, 1, 5, 0, 2, 1, 3, 4, 3, 4, 3, 3, 4, 5, 5, 2, 5, 1, 3, 2, 4, 5, 0, 2, 2, 5, 1, 1, 0, 0, 1, 3, 3, 3, 0, 1, 3, 0, 3, 4, 0, 2, 1, 2, 2, 0, 5, 5, 1, 0, 3, 0, 3, 0, 2, 4, 0, 1, 0, 4, 1, 0, 5, 3, 0, 5, 3, 2, 0, 5, 4, 3, 0, 0, 0, 1, 1, 4, 2, 2, 4, 0, 2, 3, 5, 3, 5, 0, 1, 5, 0, 3, 3, 2, 2, 0, 5, 5, 4, 2, 0, 2, 5, 0, 1, 0, 0, 0, 0, 4, 3, 5, 5, 4, 1, 5, 0, 0, 3, 5, 0, 2, 4, 0, 4, 3, 3, 2, 3, 0, 5, 2, 2, 4, 3, 5, 1, 4, 0, 0, 4, 0, 4, 3, 1, 4, 0, 5, 5, 0, 2, 3, 3, 0, 4, 1, 4, 1, 5, 2, 5, 0, 1, 4, 1, 5, 4, 4, 1, 4, 0, 3, 1, 0, 4, 5, 5, 3, 3, 0, 1, 1, 0, 1, 3, 0, 2, 1, 5, 5, 2, 1, 5, 2, 4, 5, 2, 1, 3, 0, 3, 5, 5, 1, 1, 5, 2, 5, 4, 5, 5, 1, 2, 4, 1, 2, 1, 3, 5, 5, 5, 1, 1, 4, 0, 2, 4, 1, 3, 2, 3, 0, 2, 4, 4, 5, 4, 2, 0, 5, 5, 1, 2, 4, 3, 2, 0, 3, 3, 5, 0, 3, 4, 0, 1, 4, 2, 4, 0, 4, 2, 1, 5, 3, 2, 4, 2, 4, 1, 5, 0, 1, 5, 4, 0, 0, 3, 0, 0, 2, 3, 4, 0, 5, 3, 0, 4, 5, 0, 1, 1, 3, 3, 4, 5, 3, 2, 1, 1, 1, 1, 2, 4, 5, 1, 2, 4, 2, 3, 0, 3, 5, 4, 1, 4, 0, 5, 2, 3, 2, 2, 2, 4, 3, 4, 1, 0, 4, 3, 0, 1, 2, 5, 5, 0, 0, 0, 3, 5, 2, 2, 5, 3, 2, 2, 3, 4, 0, 2, 0, 0, 3, 1, 2, 3, 3, 1, 2, 1, 5, 3, 3, 5, 1, 5, 3, 3, 4, 4, 2, 1, 1, 0, 5, 1, 5, 5, 2, 2, 2, 3, 2, 1, 5, 0, 1, 2, 3, 4, 0, 1, 4, 0, 2, 0, 4, 0, 3, 3, 4, 3, 3, 3, 4, 5, 3, 3, 5, 0, 1, 3, 2, 2, 2, 2, 5, 0, 1, 3, 5, 1, 0, 3, 3, 4, 4, 3, 4, 0, 5, 4, 2, 2, 0, 0, 4, 1, 4, 1, 2, 3, 5, 5, 3, 4, 2, 3, 4, 4, 1, 0, 5, 1, 4, 3, 0, 2, 0, 2, 1, 4, 0, 1, 3, 0, 2, 0, 5, 5, 3, 4, 2, 5, 4, 3, 4, 0, 3, 1, 1, 4, 4, 1, 5, 1, 2, 3, 0, 4, 5, 2, 4, 2, 5, 3, 0, 0, 5, 5, 4, 0, 2, 2, 2, 4, 2, 5, 5, 4, 1, 4, 3, 2, 1, 2, 0, 2, 4, 5, 5, 2, 0, 0, 4, 5, 3, 2, 0, 0, 5, 2, 2, 1, 1, 5, 0, 4, 3, 5, 1, 5, 5, 5, 1, 2, 0, 3, 0, 3, 0, 3, 0, 4, 0, 0, 4, 4, 5, 3, 4, 2, 0, 0, 3, 4, 3, 2, 0, 2, 1, 0, 3, 3, 0, 3, 0, 3, 2, 4, 0, 1, 1, 2, 3, 2, 5, 2, 5, 2, 1, 4, 1, 5, 3}
Returns: 105288
{0, 0, 1, 3, 3, 0, 4, 5, 4, 2, 6, 5, 3, 4, 5, 1, 1, 5, 3, 1, 3, 2, 0, 3, 5, 0, 4, 2, 5, 0, 0, 1, 0, 2, 1, 3, 4, 2, 6, 5, 0, 6, 0, 6, 2, 4, 3, 5, 2, 6, 2, 2, 2, 1, 1, 6, 6, 4, 4, 5, 3, 2, 4, 6, 5, 5, 0, 3, 1, 1, 4, 5, 6, 0, 6, 3, 1, 1, 6, 0, 6, 5, 6, 3, 6, 1, 1, 4, 0, 2, 6, 4, 2, 5, 4, 6, 2, 1, 3, 3, 2, 0, 5, 6, 1, 2, 0, 0, 2, 5, 3, 6, 2, 3, 3, 1, 3, 5, 1, 5, 4, 2, 3, 6, 0, 4, 2, 5, 3, 1, 0, 2, 1, 6, 1, 3, 1, 3, 3, 6, 2, 5, 0, 0, 3, 2, 6, 6, 2, 2, 1, 2, 3, 4, 2, 3, 5, 5, 2, 6, 2, 1, 1, 0, 6, 4, 2, 1, 1, 2, 3, 1, 2, 6, 5, 5, 1, 6, 6, 5, 1, 4, 3, 2, 1, 1, 6, 6, 2, 1, 0, 2, 3, 6, 4, 5, 2, 1, 2, 5, 1, 3, 3, 4, 4, 5, 2, 2, 5, 5, 2, 1, 1, 2, 0, 3, 6, 1, 4, 4, 1, 3, 3, 6, 1, 4, 3, 1, 3, 6, 5, 1, 3, 3, 3, 5, 5, 2, 0, 5, 0, 5, 0, 0, 0, 2, 2, 6, 3, 1, 0, 1, 6, 2, 4, 4, 4, 6, 0, 3, 3, 3, 1, 5, 3, 5, 2, 0, 3, 0, 4, 1, 6, 4, 3, 1, 1, 5, 0, 6, 6, 2, 0, 0, 3, 2, 5, 2, 4, 3, 6, 2, 3, 4, 3, 4, 2, 0, 0, 6, 0, 4, 1, 1, 6, 6, 6, 6, 0, 5, 4, 1, 6, 3, 2, 3, 5, 4, 5, 5, 3, 4, 1, 5, 6, 5, 3, 4, 5, 6, 2, 1, 3, 0, 4, 0, 0, 4, 2, 5, 3, 6, 1, 4, 0, 2, 5, 2, 6, 3, 3, 4, 6, 6, 5, 0, 1, 2, 3, 5, 6, 1, 2, 6, 5, 2}
Returns: 10488
{0, 1, 1, 1, 2, 4, 6, 1, 2, 2, 1, 6, 4, 6, 5, 5, 5, 3, 3, 6, 5, 1, 3, 1, 2, 4, 1, 5, 1, 3, 1, 1, 3, 5, 3, 1, 1, 5, 0, 0, 0, 6, 2, 0, 5, 0, 3, 1, 5, 4, 0, 5, 2, 6, 3, 5, 4, 5, 3, 3, 3, 1, 0, 0, 6, 3, 1, 3, 4, 0, 1, 5, 1, 4, 5, 4, 6, 1, 2, 4, 4, 4, 0, 5, 6, 5, 5, 4, 6, 2, 2, 1, 3, 2, 2, 1, 5, 5, 6, 2, 6, 2, 3, 2, 5, 6, 4, 4, 2, 5, 1, 1, 2, 1, 6, 5, 3, 0, 6, 0, 6, 5, 4, 0, 6, 1, 3, 0, 5, 1, 0, 4, 1, 0, 3, 5, 5, 6, 3, 3, 5, 3, 5, 4, 3, 1, 4, 3, 0, 5, 4, 1, 0, 2, 4, 6, 2, 5, 3, 4, 0, 2, 0, 5, 0, 2, 1, 6, 2, 4, 2, 5, 5, 4, 6, 2, 0, 2, 3, 3, 0, 0, 5, 6, 5, 5, 4, 3, 6, 1, 1, 2, 0, 0, 3, 1, 2, 1, 3, 1, 6, 5, 0, 6, 1, 0, 1, 4, 2, 0, 0, 4, 2, 5, 5, 5, 6, 3, 3, 5, 3, 0, 6, 0, 0, 6, 2, 4, 2, 0, 3, 3, 3, 1, 2, 4, 0, 5, 0, 6, 1, 4, 3, 1, 3, 6, 4, 2, 6, 6, 1, 6, 0, 1, 4, 0, 2, 3, 5, 0, 4, 0, 0, 5, 2, 3, 0, 1, 3, 0, 1, 4, 3, 6, 4, 1, 2, 4, 6, 4, 1, 2, 6, 5, 3, 3, 5, 1, 1, 0, 1, 0, 0, 2, 3, 6, 1, 2, 6, 5, 1, 5, 4, 2, 3, 0, 3, 6, 1, 3, 0, 1, 6, 1, 1, 3, 0, 3, 4, 6, 6, 0, 4, 1, 5, 1, 6, 1, 2, 5, 3, 4, 5, 0, 1, 5, 0, 1, 4, 5, 4, 1, 5, 2, 6, 3, 5, 2, 6, 4, 3, 4, 4, 3, 0, 3, 0, 5, 5, 0, 6, 0, 3, 3, 1, 6, 5, 0, 1, 2, 0, 6, 1, 1, 5, 6, 4, 4, 5, 1, 0, 3, 2, 2, 6, 3, 2, 4, 4, 3, 1, 1, 4, 5, 1, 0, 0, 2, 0, 0, 1, 0, 6, 4, 2, 4, 6, 1, 2, 3, 4, 5, 1, 2, 3, 0, 0, 5, 1, 3, 4, 5, 4, 3, 1, 5, 0, 5, 0, 1, 3, 5, 1, 0, 5, 6, 3, 0, 3, 5, 5, 0, 4, 2, 6, 5, 1, 4, 1, 2, 0, 1, 2, 4, 0, 2, 3, 3, 3, 4, 0, 2, 6, 4, 3, 4, 0, 2, 5, 3, 6, 1, 6, 0, 2, 4, 4, 1, 6, 2, 3, 3, 5, 5, 1, 3, 3, 6, 2, 6, 5, 4, 4, 6, 0, 5, 6, 3, 1, 5, 0, 5, 2, 2, 0, 1, 6, 3, 4, 4, 5, 5, 0, 1, 3, 2, 6, 5, 4, 1, 2, 4, 0, 3, 2, 1, 1, 2, 3, 5, 3, 0, 2, 2, 2, 1, 0, 0, 4, 6, 5, 0, 3, 2, 0, 5, 0, 6, 0, 3, 5, 5, 1, 1, 6, 4, 3, 4, 3, 5, 2, 5, 6, 5, 6, 2, 1, 5, 2, 2, 3, 6, 6, 2, 3, 5, 0, 3, 2, 0, 0, 3, 2, 4, 4, 6, 5, 4, 6, 3, 4, 0, 6, 3, 6, 4, 1, 0, 6, 2, 3, 4, 0, 1, 6, 3, 6, 4, 5, 1, 4}
Returns: 44261
{0, 0, 0, 3, 2, 2, 5, 3, 5, 5, 2, 2, 5, 3, 0, 0, 4, 2, 5, 2, 1, 3, 5, 2, 5, 0, 0, 1, 2, 2, 1, 1, 2, 3, 4, 3, 0, 0, 0, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 4, 1, 1, 3, 5, 3, 4, 4, 3, 5, 0, 1, 5, 3, 0, 5, 3, 5, 0, 3, 0, 0, 2, 5, 4, 1, 5, 4, 1, 4, 3, 4, 4, 0, 0, 1, 5, 2, 2, 4, 1, 1, 1, 4, 0, 2, 0, 3, 5, 4, 5, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 5, 2, 5, 0, 5, 3, 1, 4, 4, 4, 5, 5, 5, 1, 3, 0, 3, 2, 3, 0, 5, 5, 5, 4, 2, 5, 0, 5, 3, 2, 0, 3, 3, 0, 1, 5, 5, 1, 0, 0, 2, 2, 2, 3, 2, 4, 3, 0, 4, 1, 1, 5, 3, 5, 5, 0, 0, 5, 2, 4, 2, 5, 4, 3, 1, 3, 3, 3, 1, 1, 0, 0, 0, 0, 4, 3, 4, 3, 1, 3, 1, 5, 5, 0, 2, 5, 4, 5, 0, 1, 3, 0, 5, 1, 4, 3, 1, 1, 4, 2, 1, 0, 3, 0, 3, 1, 3, 0, 4, 0, 3, 2, 5, 1, 1, 3, 3, 3, 4, 3, 4, 3, 4, 5, 0, 5, 2, 1, 1, 1, 3, 5, 2, 5, 5, 1, 4, 3, 0, 1, 4, 5, 4, 4, 4, 2, 5, 0, 0, 3, 1, 5, 5, 2, 4, 5, 2, 1, 3, 2, 4, 2, 1, 4, 1, 4, 5, 4, 2, 2, 0, 1, 3, 5, 4, 4, 2, 5, 5, 0, 3, 5, 0, 2, 0, 0, 4, 4, 5, 1, 1, 4, 3, 3, 4, 3, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 4, 4, 4, 0, 4, 5, 3, 1, 5, 0, 5, 1, 5, 2, 4, 5, 1, 0, 1, 1, 4, 3, 2, 3, 3, 2, 4, 3, 1, 0, 3, 5, 1, 1, 0, 3, 2, 3, 0, 3, 4, 4, 2, 3, 4, 0, 0, 0, 5, 5, 4, 2, 5, 4, 0, 2, 2, 1, 2, 1, 1, 1, 4, 2, 1, 4, 5, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 1, 0, 0, 5, 2, 0, 2, 1, 1, 4, 0, 1, 5, 5, 4, 0, 0, 3, 1, 0, 3, 3, 3, 2, 3, 4, 1, 4, 2, 5, 0, 3, 1, 3, 5, 5, 0, 2, 4, 1, 2, 3, 1, 5, 2, 4, 4, 2, 0, 5, 0, 0, 3, 1, 5, 2, 4, 2, 0, 1, 0, 0, 1, 0, 1, 4, 4, 4, 3, 3, 5, 2, 4, 1, 0, 1, 2, 3, 0, 4, 5, 0, 4, 1, 0, 0, 5, 1, 0, 2, 0, 1, 5, 0, 3, 3, 2, 2, 2, 4, 1, 0, 4, 1, 3, 2, 4, 0, 0, 1, 3, 5, 0, 4, 5, 0, 3, 4, 3, 3, 0, 0, 5, 5, 4, 2, 1, 0, 4, 0, 3, 0, 0, 3, 2, 1, 4, 4, 0, 5, 2, 5, 0, 0, 4, 5, 4, 2, 1, 5, 1, 2, 0, 3, 1, 5, 0, 4, 1, 1, 3, 4, 0, 1, 3, 2, 1, 3, 2, 2, 4, 4, 3, 4, 5, 0, 5, 0, 3, 1, 1, 4, 1, 3, 5, 3, 2, 1, 5, 3, 5, 2, 0, 2, 4, 0, 3, 1, 0, 4, 1, 4, 0, 3, 5, 3, 5, 1, 5, 3, 4, 3, 2, 2, 5, 4, 3, 4, 2, 4, 0, 4, 2, 3, 1, 1, 2, 2, 1, 1, 4, 3, 2, 0, 4, 0, 0, 4, 1, 2, 4, 3, 0, 3, 0, 4, 4, 3, 2, 3, 1, 0, 2, 1, 4, 2, 3, 2, 5, 1, 0, 3, 2, 5, 0, 4, 1, 4, 1, 0, 5, 4, 3, 0, 1, 1, 4, 4, 1, 2, 3, 5, 3, 2, 2, 2, 2, 0, 3, 4, 2, 4, 0, 0, 0, 0, 3, 0, 5, 5, 5, 5, 2, 0, 1, 5, 0, 2, 4, 2, 4, 0, 5, 1, 5, 5, 4, 5, 5, 3, 3, 1, 5, 5, 2, 0, 3, 4, 0, 0, 3, 0, 3, 5, 3, 5, 2, 4, 4, 1, 1, 0, 2, 1, 3, 4, 0, 2, 3, 1, 2, 3, 4, 5, 0, 3, 4, 2, 3, 0, 2, 4, 4, 4, 5, 4, 0, 1, 1, 3, 2, 5, 5, 3, 0, 3, 5, 4, 4, 5, 2, 3, 3, 5, 0, 2, 3, 1, 3, 1, 2, 5, 2, 5, 5, 0, 1, 1, 0, 2, 1, 4, 2, 5, 3, 1, 2, 0, 5, 3, 2, 0, 5, 1, 3, 1, 1, 0, 1, 5, 0, 5, 0, 1, 1, 5, 4, 0, 0, 2, 5, 3, 4, 1, 3, 2, 1, 3, 4, 1, 0, 2, 1, 4, 1, 0, 0, 3, 4, 2, 2, 0, 0, 4, 2, 5, 5, 2, 3, 5, 4, 2, 1, 0, 0, 4, 1, 5, 0, 0, 0, 3, 3, 5, 2, 3, 0, 0, 2, 0, 2, 3, 5, 4, 4, 2, 4, 5, 2, 0, 1, 2, 0, 2, 1, 5, 3, 4, 3, 3, 3, 0, 1, 1, 3, 3, 5, 5, 4, 5, 4, 1, 3, 5, 2, 1, 3, 4, 3, 2, 2, 3, 0, 0, 4, 3, 3, 0, 5, 0, 4, 0}
Returns: 66855
{0, 0, 2, 1, 3, 3, 1, 1, 2, 1, 0, 0, 0, 3, 2, 1, 1, 0, 3, 2, 3, 1, 3, 2, 1, 1, 0, 3, 1, 3, 0, 2, 2, 2, 0, 2, 0, 2, 3, 1, 3, 2, 1, 0, 3, 2, 3, 3, 1, 0, 0, 3, 0, 0, 1, 3, 3, 1, 3, 0, 1, 0, 3, 0, 3, 3, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 3, 3, 2, 2, 2, 0, 3, 0, 2, 3, 3, 1, 2, 1, 3, 0, 1, 2, 1, 0, 3, 0, 2, 1, 1, 0, 0, 2, 2, 0, 3, 1, 3, 3, 0, 1, 1, 3, 2, 0, 3, 1, 1, 0, 0, 2, 3, 0, 1, 1, 2, 0, 2, 3, 3, 3, 0, 0, 2, 0, 1, 0, 3, 2, 2, 2, 1, 2, 1, 3, 3, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 3, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 0, 2, 2, 0, 0, 2, 1, 3, 0, 2, 2, 3, 1, 1, 3, 1, 3, 3, 3, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 3, 1, 2, 0, 0, 0, 3, 0, 0, 3, 1, 0, 1, 3, 2, 2, 3, 3, 1, 1, 1, 2, 3, 0, 3, 1, 3, 3, 2, 3, 0, 0, 0, 2, 0, 1, 3, 2, 2, 1, 2, 0, 0, 2, 3, 2, 0, 0, 3, 3, 0, 3, 0, 1, 1, 1, 3, 3, 1, 3, 0, 0, 3, 1, 0, 0, 0, 3, 0, 0, 1, 1, 3, 0, 2, 0, 2, 1, 2, 2, 3, 0, 0, 3, 3, 1, 0, 1, 1, 3, 1, 1, 0, 3, 3, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 3, 3, 0, 1, 1, 0, 0, 1, 3, 0, 1, 2, 1, 3, 3, 0, 1, 3, 2, 3, 0, 2, 2, 1, 0, 0, 1, 0, 0, 3, 3, 2, 2, 1, 3, 2, 3, 1, 0, 1, 1, 3, 3, 2, 1, 1, 2, 2, 3, 3, 1, 3, 2, 1, 3, 3, 3, 2, 1, 2, 0, 0, 3, 1, 2, 2, 2, 2, 1, 2, 0, 0, 3, 2, 0, 3, 3, 1, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 3, 3, 2, 1, 0, 3, 1, 0, 3, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 3, 0, 2, 3, 3, 3, 3, 2, 1, 3, 0, 2, 2, 1, 1, 3, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 3, 3, 2, 0, 0, 3, 3, 3, 0, 2, 3, 1, 3, 3, 2, 2, 1, 1, 3, 0, 0, 0, 3, 3, 3, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 3, 2, 0, 0, 3, 3, 2, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 1, 0, 2, 0, 0, 3, 0, 2, 1, 2, 2, 1, 1, 0, 3, 2, 3, 0, 0, 0, 1, 2, 1, 3, 0, 3, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 2, 3, 1, 0, 1, 3, 3, 0, 0, 2, 3, 3, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 3, 1, 3, 0, 0, 1, 2, 1, 1, 3, 3, 1, 1, 2, 3, 3, 0, 1, 0, 2, 1, 3, 1, 3, 1, 3, 3, 3, 0, 1, 0, 2, 1, 2, 3, 3, 2, 1, 1, 3, 3, 2, 1, 1, 1, 2, 3, 3, 3, 1, 2, 3, 0, 3, 3, 2, 3, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 3, 0, 2, 0, 3, 2, 3, 3, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 3, 1, 0, 1, 0, 3, 3, 3, 2, 0, 3, 3, 1, 0, 3, 0, 1, 2, 3, 0, 2, 3, 1, 3, 1, 1, 0, 3, 3, 0, 1, 0, 2, 0, 0, 3, 0, 0, 0, 3, 1, 1, 3, 3, 3, 1, 0, 1, 0, 1, 1, 3, 2, 2, 1, 0, 3, 3, 1, 2, 3, 1, 0, 2, 2, 3, 2, 3, 0, 0, 3, 1, 2, 2, 2, 1, 0, 1, 3, 1, 3, 2, 0, 3, 0, 0, 2, 1, 3, 2, 0, 2, 0, 3, 3, 0, 1, 3, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 3, 3, 2, 3, 2, 1, 2, 3, 0, 3, 1, 1, 1, 0, 3, 1, 3, 2, 3, 2, 1, 1, 1, 3, 3, 0, 1, 0, 0, 3, 1, 2, 0, 3, 3, 1, 3, 2, 3, 3, 3, 2, 0, 0, 1, 1, 3, 2, 1, 2, 3, 2, 0, 2, 1, 1, 3, 3, 0, 3}
Returns: 49268
{0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2}
Returns: 45269
{0, 1, 0, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 2, 2, 1, 0, 3, 2, 1, 2, 3, 1, 3, 2, 3, 1, 0, 2, 1, 2, 3, 0, 3, 1, 2, 3, 2, 3, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 3, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 3, 0, 3, 2, 1, 0, 3, 0, 3, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 3, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 3, 2, 3, 3, 0, 0, 1, 0, 2, 3, 3, 0, 2, 3, 0, 3, 2, 1, 1, 1, 3, 3, 2, 0, 2, 1, 0, 0, 2, 1, 3, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 3, 3, 3, 1, 2, 0, 1, 2, 1, 0, 3, 0, 1, 1, 0, 0, 1, 1, 3, 1, 2, 2, 0, 3, 1, 3, 1, 0, 1, 1, 2, 1, 3, 3, 1, 2, 3, 3, 0, 1, 3, 2, 0, 1, 0, 1, 0, 3, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 3, 1, 1, 1, 3, 2, 0, 3, 1, 2, 2, 2, 3, 1, 3, 3, 2, 2, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 1, 2, 0, 3, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 3, 2, 3, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 3, 3, 1, 2, 0, 2, 0, 0, 2, 2, 3, 0, 3, 1, 2, 3, 3, 1, 0, 0, 3, 3, 2, 0, 2, 0, 1, 0, 2, 2, 0, 3, 2, 2, 3, 1, 3, 2, 0, 1, 1, 3, 0, 2, 3, 2, 3, 0, 3, 1, 0, 2, 2, 3, 3, 1, 3, 2, 0, 1, 0, 1, 0, 0, 0, 2, 3, 3, 0, 3, 2, 3, 1, 0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 1, 2, 0, 3, 3, 0, 2, 3, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 3, 2, 0, 3, 2, 1, 2, 2, 2, 2, 0, 2, 3, 0, 1, 1, 2, 2, 2, 1, 3, 2, 1, 3, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 3, 1, 1, 3, 0, 0, 3, 0, 3, 2, 2, 1, 2, 1, 0, 2, 1, 1, 3, 0, 2, 2, 1, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 2, 2, 2, 2, 0, 0, 2, 3, 0, 0, 1, 3, 2, 3, 1, 2, 2, 0, 3, 2, 2, 2, 2, 1, 0, 3, 3, 1, 0, 1, 0, 2, 0, 0, 3, 1, 1, 1, 3, 3, 3, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 3, 1, 0, 0, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 1, 2, 0, 3, 2, 1, 2, 3, 0, 0, 3, 0, 1, 1, 1, 3, 1, 1, 3, 0, 1, 3, 3, 3, 3, 2, 3, 1, 0, 2, 0, 3, 1, 0, 0, 3, 0, 3, 1, 3, 1, 2, 3, 0, 1, 1, 1, 2, 0, 3, 1, 1, 3, 2, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 3, 3, 3, 1, 3, 3, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 0, 0, 0, 0, 2, 3, 3, 3, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 3, 0, 3, 1, 1, 1, 0, 2, 1, 3, 2, 1, 3, 2, 0, 2, 3, 3, 0, 2, 3, 0, 1, 3, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 3, 2, 3, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 3, 3, 1, 2, 3, 1, 0, 3, 0, 0, 2, 2, 2, 3, 3, 3, 1, 1, 3, 2, 1, 2, 1, 2, 3, 1, 1, 3, 0, 0, 0, 3, 1, 1, 1, 3, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 3, 0, 1, 2, 1, 0, 3, 3, 2, 3, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 3, 3, 0, 3, 2, 0, 1, 0, 1, 3, 1, 3, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 3, 3, 0, 3, 1, 2, 2, 2, 3, 3, 3, 2, 0, 1, 0, 0, 3, 0, 2, 0, 2, 2, 0, 3, 1, 0, 2, 2, 1, 3, 1, 3, 2, 1, 1, 1, 1, 0, 1, 0, 3, 2, 3, 3, 1, 0, 3, 2, 3, 0, 3, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 3, 3, 3, 1, 0, 2, 3, 3, 2, 2, 0, 2, 0, 3, 3, 3, 2, 1, 2, 2, 1, 3, 3, 2, 2, 0, 3, 2, 0, 1, 2, 1, 1, 3, 0, 3, 3, 3, 0, 0, 0, 3, 1, 1, 1, 0, 3, 3, 3, 1, 1, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 0, 3, 0, 2, 3, 2, 0, 2, 0, 1, 1, 1, 1, 3, 0, 2, 1, 1, 3, 2, 3, 0, 0, 3, 0, 2, 0, 0, 1, 2, 3}
Returns: 57057
{0, 0, 1, 1, 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, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 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, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1}
Returns: 180744
{0, 0, 0, 1, 3, 3, 3, 1, 0, 2, 0, 0, 1, 0, 1, 2, 3, 0, 3, 3, 3, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 3, 3, 1, 2, 3, 1, 0, 2, 2, 3, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 3, 3, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 1, 3, 1, 2, 0, 2, 0, 3, 2, 2, 0, 3, 1, 3, 3, 1, 0, 2, 0, 2, 3, 3, 0, 0, 0, 2, 1, 3, 1, 0, 3, 0, 1, 2, 3, 0, 1, 2, 0, 2, 3, 1, 3, 0, 0, 0, 0, 2, 2, 1, 3, 3, 1, 3, 1, 2, 0, 0, 0, 0, 1, 0, 3, 0, 2, 3, 1, 3, 2, 3, 0, 1, 1, 3, 2, 1, 3, 1, 3, 2, 1, 1, 0, 1, 2, 3, 2, 1, 1, 0, 1, 3, 2, 3, 0, 1, 3, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 3, 1, 2, 0, 2, 3, 2, 1, 2, 3, 3, 3, 1, 1, 1, 3, 0, 1, 0, 2, 3, 3, 3, 1, 2, 0, 3, 2, 1, 0, 3, 3, 0, 1, 0, 3, 2, 1, 0, 1, 0, 3, 2, 1, 2, 3, 2, 2, 0, 2, 2, 2, 2, 0, 1, 3, 2, 3, 3, 0, 0, 0, 3, 0, 0, 1, 3, 2, 1, 0, 1, 0, 3, 2, 2, 3, 0, 2, 0, 3, 3, 0, 3, 3, 1, 0, 3, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 3, 2, 0, 2, 3, 0, 3, 3, 2, 0, 1, 3, 3, 0, 0, 0, 3, 0, 2, 2, 0, 3, 3, 1, 3, 1, 3, 2, 0, 2, 0, 1, 3, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 3, 3, 2, 1, 0, 1, 2, 0, 1, 0, 3, 2, 0, 1, 0, 3, 2, 3, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 0, 0, 3, 0, 1, 0, 2, 2, 0, 2, 3, 0, 1, 2, 3, 2, 3, 0, 1, 0, 2, 3, 3, 0, 1, 3, 1, 3, 3, 3, 0, 1, 2, 2, 3, 3, 1, 1, 3, 2, 3, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 3, 1, 0, 3, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 3, 1, 1, 3, 1, 3, 2, 3, 1, 3, 1, 1, 2, 0, 2, 1, 3, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 3, 2, 0, 1, 3, 3, 2, 0, 3, 0, 3, 2, 1, 0, 2, 3, 0, 3, 0, 3, 1, 0, 2, 2, 3, 1, 0, 2, 0, 0, 0, 0, 3, 3, 1, 2, 3, 0, 0, 2, 0, 2, 2, 3, 0, 1, 3, 2, 3, 1, 3, 3, 2, 3, 0, 0, 1, 3, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 3, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 3, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 3, 0, 3, 0, 1, 2, 3, 2, 1, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 3, 1, 3, 3, 3, 1, 3, 3, 0, 0, 1, 2, 1, 2, 3, 2, 0, 1, 3, 1, 3, 1, 3, 3, 2, 3, 1, 0, 3, 3, 3, 3, 2, 1, 3, 1, 2, 1, 1, 3, 3, 0, 2, 1, 3, 2, 1, 1, 3, 3, 1, 1, 0, 2, 0, 1, 3, 2, 1, 0, 0, 3, 3, 2, 3, 1, 1, 1, 3, 2, 0, 3, 3, 2, 2, 0, 1, 1, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 1, 1, 3, 2, 0, 1, 0, 1, 2, 0, 1, 3, 0, 1, 1, 3, 3, 0, 0, 3, 1, 3, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 3, 0, 3, 1, 1, 2, 3, 3, 2, 1, 0, 1, 0, 1, 1, 1, 3, 2, 3, 0, 2, 2, 3, 1, 0, 2, 0, 1, 3, 1, 1, 0, 3, 2, 0, 3, 0, 1, 1, 2, 1, 2, 3, 0, 3, 2, 3, 0, 2, 0, 1, 1, 3, 1, 1, 1, 1, 0, 0, 1, 3, 3, 1, 0, 0, 2, 2, 3, 0, 3, 1, 1, 1, 1, 3, 0, 2, 3, 2, 2, 0, 1, 0, 1, 1, 3, 0, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 0, 3, 2, 3, 0, 3, 2, 0, 3, 1, 2, 2, 2, 3, 1, 0, 0, 1, 2, 3, 3, 0, 1, 0, 2, 3, 0, 1, 2, 2, 0, 1, 3, 3, 1, 2, 0, 3, 2, 3, 2, 1, 2, 0, 1, 1, 0, 3, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 3, 2, 3, 0, 1, 0, 1, 3, 3, 1, 1, 2, 2, 2, 1, 3, 3, 2, 0, 3, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 3, 0, 3, 0, 0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 2, 3, 3, 0, 0, 1, 1, 2, 3, 0, 3, 3, 0, 1, 0, 3, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 3, 3, 2, 3, 0, 1, 1, 2, 3, 2, 1, 3, 3, 1, 3, 0, 2, 2, 3, 3, 2, 0, 2, 1, 3, 1, 3, 3, 1, 1, 2, 0, 3, 0, 0, 0, 0, 2, 2, 1, 2, 3, 0, 1, 1, 3}
Returns: 178926
{0, 1, 1, 0, 0, 3, 3, 3, 3, 2, 2, 1, 1, 2, 4, 1, 3, 2, 0, 3, 1, 4, 0, 4, 3, 4, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 4, 2, 4, 0, 4, 1, 1, 1, 3, 0, 0, 1, 2, 3, 2, 2, 4, 4, 2, 4, 1, 1, 2, 1, 4, 1, 0, 0, 4, 4, 0, 4, 4, 4, 0, 3, 0, 0, 2, 4, 4, 3, 0, 2, 0, 4, 0, 2, 2, 4, 4, 4, 4, 0, 4, 3, 1, 3, 1, 3, 2, 0, 1, 3, 0, 1, 4, 1, 1, 3, 4, 3, 2, 2, 3, 4, 4, 3, 0, 3, 2, 3, 4, 2, 1, 2, 2, 4, 1, 0, 4, 0, 2, 1, 0, 4, 3, 3, 3, 2, 2, 4, 2, 3, 3, 1, 3, 2, 4, 2, 3, 4, 1, 1, 2, 0, 4, 0, 1, 3, 1, 4, 3, 4, 3, 1, 4, 1, 4, 3, 1, 0, 3, 2, 4, 0, 2, 0, 3, 1, 2, 2, 4, 2, 4, 1, 1, 4, 3, 0, 2, 0, 1, 4, 1, 1, 4, 1, 3, 1, 4, 2, 4, 2, 4, 0, 0, 3, 3, 3, 3, 4, 3, 1, 1, 4, 1, 3, 2, 1, 0, 4, 1, 4, 1, 1, 0, 2, 4, 0, 4, 1, 0, 4, 1, 0, 4, 3, 0, 1, 1, 1, 2, 0, 4, 0, 1, 4, 2, 4, 4, 0, 4, 0, 2, 0, 0, 0, 0, 1, 3, 2, 0, 2, 1, 0, 4, 1, 3, 4, 4, 0, 2, 2, 4, 4, 2, 0, 0, 0, 4, 4, 3, 1, 0, 0, 1, 4, 4, 3, 2, 1, 1, 4, 1, 2, 0, 0, 3, 0, 4, 2, 0, 4, 3, 3, 4, 4, 1, 3, 0, 2, 4, 1, 3, 0, 2, 2, 1, 0, 0, 1, 3, 3, 4, 2, 2, 1, 3, 3, 2, 0, 3, 1, 2, 0, 1, 2, 3, 4, 3, 2, 1, 0, 2, 0, 3, 1, 1, 1, 0, 1, 4, 1, 1, 0, 4, 1, 1, 3, 1, 0, 0, 1, 3, 2, 4, 0, 4, 1, 4, 2, 2, 1, 0, 1, 4, 0, 1, 1, 1, 3, 4, 3, 2, 0, 3, 3, 1, 0, 4, 1, 3, 3, 0, 3, 4, 3, 2, 2, 3, 2, 4, 3, 3, 1, 3, 3, 0, 3, 0, 3, 0, 0, 3, 2, 4, 1, 0, 2, 3, 0, 2, 3, 0, 1, 0, 1, 1, 0, 3, 0, 2, 3, 1, 0, 0, 4, 3, 4, 0, 3, 2, 0, 1, 2, 4, 2, 3, 4, 3, 4, 1, 1, 2, 3, 0, 0, 4, 4, 1, 1, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 0, 0, 0, 1, 0, 1, 4, 4, 3, 0, 1, 0, 0, 0, 3, 4, 4, 1, 1, 1, 3, 2, 0, 4, 3, 2, 3, 4, 2, 3, 4, 1, 3, 1, 2, 1, 3, 0, 0, 2, 1, 4, 4, 0, 3, 0, 0, 2, 0, 2, 1, 2, 0, 0, 4, 3, 1, 2, 3, 1, 3, 0, 3, 3, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 3, 4, 0, 0, 3, 0, 0, 4, 2, 1, 2, 4, 1, 0, 4, 4, 3, 4, 2, 1, 3, 2, 3, 1, 3, 3, 1, 2, 0, 3, 1, 0, 4, 3, 1, 2, 1, 3, 3, 2, 3, 2, 4, 2, 4, 0, 0, 2, 1, 2, 0, 3, 1, 4, 4, 0, 0, 3, 2, 0, 4, 0, 4, 2, 2, 4, 2, 1, 4, 4, 1, 0, 2, 4, 3, 3, 1, 3, 2, 0, 2, 3, 2, 1, 2, 3, 4, 4, 4, 1, 4, 0, 4, 1, 3, 4, 1, 2, 2, 3, 0, 3, 4, 4, 2, 3, 1, 4, 4, 2, 0, 3, 1, 1, 1, 2, 1, 0, 4, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 0, 3, 4, 3, 2, 4, 3, 2, 2, 3, 3, 3, 2, 4, 1, 0, 0, 4, 4, 0, 3, 1, 2, 4, 3, 2, 3, 0, 0, 3, 3, 3, 3, 0, 3, 4, 0, 4, 2, 1, 4, 3, 3, 0, 0, 0, 1, 0, 3, 0, 2, 0, 1, 3, 3, 2, 0, 1, 4, 2, 0, 3, 4, 1, 3, 4, 1, 2, 4, 2, 3, 1, 0, 3, 0, 0, 4, 1, 3, 0, 1, 3, 0, 1, 4, 4, 3, 3, 3, 0, 1, 2, 3, 0, 2, 0, 3, 0, 3, 0, 4, 2, 2, 2, 3, 2, 2, 4, 3, 0, 2, 2, 4, 1, 1, 2, 4, 0, 4, 1, 3, 4, 4, 1, 4, 2, 4, 2, 2, 1, 4, 1, 2, 2, 4, 1, 2, 1, 0, 4, 0, 3, 3, 1, 2, 3, 1, 4, 1, 3, 1, 1, 3, 4, 1, 3, 4, 3, 1, 1, 4, 4, 1, 2, 4, 0, 3, 4, 1, 4, 2, 1, 1, 3, 4, 4, 3, 3, 4, 0, 4, 1, 0, 1, 1, 2, 0, 2, 4, 2, 1, 4, 1, 1, 1, 0, 4, 3, 2, 2, 1, 4, 1, 3, 1, 2, 4, 1, 1, 0, 3, 2, 2, 0, 1, 1, 4, 2, 4, 4, 1, 2, 0, 3, 1, 0, 1, 4, 1, 0, 4, 1, 2, 2, 4, 0, 1, 3, 4, 0, 2, 0, 4, 4, 3, 1, 4, 2, 3, 2, 1, 0, 0, 4, 0, 0, 0, 0, 3, 2, 4, 3, 3, 1, 3, 1, 1, 1, 1, 3, 0, 4, 0, 2, 3, 3, 3, 0, 0, 3, 1, 3, 0, 1, 2, 0, 3, 3, 4, 2, 4, 3, 0, 2, 4, 4, 3, 0, 1, 3, 3, 2, 0, 1, 4, 1, 2, 1, 3, 2, 0, 4}
Returns: 108844
{0, 0, 1, 3, 0, 1, 0, 1, 4, 5, 0, 2, 5, 5, 4, 8, 5, 0, 1, 0, 4, 4, 2, 8, 1, 1, 8, 3, 2, 0, 2, 1, 0, 4, 6, 4, 5, 1, 4, 7, 2, 2, 7, 6, 5, 4, 1, 3, 5, 7, 3, 6, 3, 8, 7, 8, 4, 4, 3, 1, 6, 8, 1, 2, 0, 1, 7, 3, 0, 0, 3, 8, 4, 3, 7, 0, 7, 1, 5, 2, 7, 3, 8, 2, 4, 6, 8, 4, 1, 5, 1, 5, 3, 0, 8, 4, 5, 5, 5, 8, 3, 1, 4, 7, 4, 4, 2, 2, 7, 7, 0, 4, 2, 4, 1, 4, 8, 6, 7, 3, 0, 6, 5, 3, 7, 1, 8, 7, 2, 0, 8, 3, 5, 7, 4, 6, 0, 8, 2, 1, 8, 2, 8, 7, 4, 3, 2, 8, 8, 3, 0, 3, 4, 3, 3, 6, 5, 4, 5, 0, 0, 2, 5, 2, 1, 5, 0, 5, 4, 1, 1, 8, 1, 7, 2, 7, 6, 1, 4, 0, 0, 4, 8, 7, 0, 1, 3, 0, 3, 7, 1, 2, 3, 5, 4, 8, 8, 0, 4, 5, 1, 4, 2, 6, 1, 2, 2, 4, 3, 8, 0, 8, 4, 0, 3, 2, 0, 5, 5, 6, 7, 1, 7, 1, 6, 8, 6, 6, 6, 1, 6, 4, 6, 6, 7, 3}
Returns: 5041
{0, 0, 0, 2, 3, 4 }
Returns: 3
{0, 0, 1, 1, 2, 2 }
Returns: 4
{0, 0, 0, 0, 4, 5, 5, 5, 5 }
Returns: 12
{0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 }
Returns: 16585
{0, 1, 1, 0, 4, 4 }
Returns: 4
{0, 0, 0, 2, 4, 0, 4, 5, 8, 1, 4, 7, 1, 10, 12, 0, 4, 11, 5, 8, 17, 18, 7, 22, 0, 2, 25, 18, 28, 23, 10, 23, 2, 19, 26, 14, 2, 4, 7, 9, 1, 14, 20, 30, 25, 40, 24, 15, 6, 1, 1, 35, 32, 33, 11, 24, 18, 40, 14, 49, 59, 57, 59, 38, 14, 19, 13, 56, 43, 10, 22, 50, 31, 32, 63, 60, 4, 27, 31, 30, 65, 45, 69, 60, 37, 41, 45, 83, 87, 51, 16, 16, 53, 65, 28, 19, 1, 30, 50, 66, 21, 88, 18, 52, 81, 88, 77, 86, 80, 46, 75, 22, 49, 57, 87, 50, 28, 5, 35, 53, 120, 35, 96, 97, 82, 76, 121, 84, 18, 94, 25, 23, 97, 43, 59, 81, 133, 77, 29, 4, 69, 139, 74, 123, 46, 18, 63, 51, 137, 139, 41, 79, 24, 90, 120, 6, 62, 63, 120, 153, 1, 108, 68, 158, 122, 125, 89, 49, 136, 137, 86, 5, 142, 38, 154, 13, 46, 135, 168, 80, 123, 172, 137, 83, 183, 171, 62, 14, 58, 57, 48, 121, 78, 74, 171, 147, 66, 142, 184, 64, 160, 156, 85, 111, 40, 21, 49, 117, 81, 69, 4, 198, 175, 97, 90, 118, 50, 173, 168, 128, 89, 175, 188, 206, 61, 91, 156, 136, 148, 136, 126, 22, 170, 227, 168, 119, 181, 13, 133, 185, 34, 45, 228, 159, 62, 193, 150, 45, 141, 50, 162, 125, 153, 185, 181, 38, 116, 235, 238, 70, 87, 135, 4, 152, 246, 126, 261, 152, 20, 243, 195, 211, 246, 84, 168, 168, 152, 198, 142, 154, 204, 178, 97, 206, 64, 74, 67, 93, 65, 60, 197, 20, 291, 88, 72, 30, 25, 151, 217, 154, 173, 158, 47, 93, 15, 192, 93, 25, 2, 208, 72, 238, 281, 262, 48, 300, 146, 90, 81, 52, 107, 153, 184, 10, 248, 215, 15, 174, 317, 216, 279, 157, 272, 315, 93, 98, 251, 184, 332, 206, 214, 37, 38, 86, 217, 74, 148, 151, 312, 335, 43, 67, 59, 333, 331, 75, 188, 38, 297, 289, 137, 274, 335, 313, 277, 100, 235, 100, 103, 85, 139, 80, 305, 171, 111, 332, 218, 349, 314, 250, 213, 4, 344, 275, 212, 36, 16, 377, 139, 325, 239, 38, 178, 140, 271, 134, 179, 8 }
Returns: 1677