-------
(11, 2916, 6) ALL distance distributions for INTERNAL point
(6, 2916, 6) has 1 possible DDs: {[4, 48, 240, 640, 960, 768, 256]}
(7, 2916, 6) has 4 possible DDs: {[1, 21, 105, 385, 735, 903, 595, 171], [2, 14, 126, 350, 770, 882, 602, 170], [3, 7, 147, 315, 805, 861, 609, 169], [4, 0, 168, 280, 840, 840, 616, 168]}
(8, 2916, 6) has 28 possible DDs: {[1, 0, 84, 112, 630, 672, 868, 432, 117], [1, 1, 77, 133, 595, 707, 847, 439, 116], [1, 2, 70, 154, 560, 742, 826, 446, 115], [1, 3, 63, 175, 525, 777, 805, 453, 114], [1, 4, 56, 196, 490, 812, 784, 460, 113], [1, 5, 49, 217, 455, 847, 763, 467, 112], [1, 6, 42, 238, 420, 882, 742, 474, 111], [1, 7, 35, 259, 385, 917, 721, 481, 110], [1, 8, 28, 280, 350, 952, 700, 488, 109], [1, 9, 21, 301, 315, 987, 679, 495, 108], [1, 10, 14, 322, 280, 1022, 658, 502, 107], [1, 11, 7, 343, 245, 1057, 637, 509, 106], [1, 12, 0, 364, 210, 1092, 616, 516, 105], [2, 0, 56, 224, 420, 896, 728, 480, 110], [2, 1, 49, 245, 385, 931, 707, 487, 109], [2, 2, 42, 266, 350, 966, 686, 494, 108], [2, 3, 35, 287, 315, 1001, 665, 501, 107], [2, 4, 28, 308, 280, 1036, 644, 508, 106], [2, 5, 21, 329, 245, 1071, 623, 515, 105], [2, 6, 14, 350, 210, 1106, 602, 522, 104], [2, 7, 7, 371, 175, 1141, 581, 529, 103], [2, 8, 0, 392, 140, 1176, 560, 536, 102], [3, 0, 28, 336, 210, 1120, 588, 528, 103], [3, 1, 21, 357, 175, 1155, 567, 535, 102], [3, 2, 14, 378, 140, 1190, 546, 542, 101], [3, 3, 7, 399, 105, 1225, 525, 549, 100], [3, 4, 0, 420, 70, 1260, 504, 556, 99], [4, 0, 0, 448, 0, 1344, 448, 576, 96]}
(9, 2916, 6) has 153 possible DDs: {[1, 0, 6, 210, 0, 1050, 378, 918, 267, 86], [1, 0, 7, 203, 21, 1015, 413, 897, 274, 85], [1, 0, 8, 196, 42, 980, 448, 876, 281, 84], [1, 0, 9, 189, 63, 945, 483, 855, 288, 83], [1, 0, 10, 182, 84, 910, 518, 834, 295, 82], [1, 0, 11, 175, 105, 875, 553, 813, 302, 81], [1, 0, 12, 168, 126, 840, 588, 792, 309, 80], [1, 0, 13, 161, 147, 805, 623, 771, 316, 79], [1, 0, 14, 154, 168, 770, 658, 750, 323, 78], [1, 0, 15, 147, 189, 735, 693, 729, 330, 77], [1, 0, 16, 140, 210, 700, 728, 708, 337, 76], [1, 0, 17, 133, 231, 665, 763, 687, 344, 75], [1, 0, 18, 126, 252, 630, 798, 666, 351, 74], [1, 0, 19, 119, 273, 595, 833, 645, 358, 73], [1, 0, 20, 112, 294, 560, 868, 624, 365, 72], [1, 0, 21, 105, 315, 525, 903, 603, 372, 71], [1, 0, 22, 98, 336, 490, 938, 582, 379, 70], [1, 0, 23, 91, 357, 455, 973, 561, 386, 69], [1, 0, 24, 84, 378, 420, 1008, 540, 393, 68], [1, 0, 25, 77, 399, 385, 1043, 519, 400, 67], [1, 0, 26, 70, 420, 350, 1078, 498, 407, 66], [1, 0, 27, 63, 441, 315, 1113, 477, 414, 65], [1, 0, 28, 56, 462, 280, 1148, 456, 421, 64], [1, 0, 29, 49, 483, 245, 1183, 435, 428, 63], [1, 0, 30, 42, 504, 210, 1218, 414, 435, 62], [1, 0, 31, 35, 525, 175, 1253, 393, 442, 61], [1, 0, 32, 28, 546, 140, 1288, 372, 449, 60], [1, 0, 33, 21, 567, 105, 1323, 351, 456, 59], [1, 0, 34, 14, 588, 70, 1358, 330, 463, 58], [1, 0, 35, 7, 609, 35, 1393, 309, 470, 57], [1, 0, 36, 0, 630, 0, 1428, 288, 477, 56], [1, 1, 1, 217, 7, 1015, 427, 883, 280, 84], [1, 1, 2, 210, 28, 980, 462, 862, 287, 83], [1, 1, 3, 203, 49, 945, 497, 841, 294, 82], [1, 1, 4, 196, 70, 910, 532, 820, 301, 81], [1, 1, 5, 189, 91, 875, 567, 799, 308, 80], [1, 1, 6, 182, 112, 840, 602, 778, 315, 79], [1, 1, 7, 175, 133, 805, 637, 757, 322, 78], [1, 1, 8, 168, 154, 770, 672, 736, 329, 77], [1, 1, 9, 161, 175, 735, 707, 715, 336, 76], [1, 1, 10, 154, 196, 700, 742, 694, 343, 75], [1, 1, 11, 147, 217, 665, 777, 673, 350, 74], [1, 1, 12, 140, 238, 630, 812, 652, 357, 73], [1, 1, 13, 133, 259, 595, 847, 631, 364, 72], [1, 1, 14, 126, 280, 560, 882, 610, 371, 71], [1, 1, 15, 119, 301, 525, 917, 589, 378, 70], [1, 1, 16, 112, 322, 490, 952, 568, 385, 69], [1, 1, 17, 105, 343, 455, 987, 547, 392, 68], [1, 1, 18, 98, 364, 420, 1022, 526, 399, 67], [1, 1, 19, 91, 385, 385, 1057, 505, 406, 66], [1, 1, 20, 84, 406, 350, 1092, 484, 413, 65], [1, 1, 21, 77, 427, 315, 1127, 463, 420, 64], [1, 1, 22, 70, 448, 280, 1162, 442, 427, 63], [1, 1, 23, 63, 469, 245, 1197, 421, 434, 62], [1, 1, 24, 56, 490, 210, 1232, 400, 441, 61], [1, 1, 25, 49, 511, 175, 1267, 379, 448, 60], [1, 1, 26, 42, 532, 140, 1302, 358, 455, 59], [1, 1, 27, 35, 553, 105, 1337, 337, 462, 58], [1, 1, 28, 28, 574, 70, 1372, 316, 469, 57], [1, 1, 29, 21, 595, 35, 1407, 295, 476, 56], [1, 1, 30, 14, 616, 0, 1442, 274, 483, 55], [1, 2, 0, 196, 98, 840, 616, 764, 321, 78], [1, 2, 1, 189, 119, 805, 651, 743, 328, 77], [1, 2, 2, 182, 140, 770, 686, 722, 335, 76], [1, 2, 3, 175, 161, 735, 721, 701, 342, 75], [1, 2, 4, 168, 182, 700, 756, 680, 349, 74], [1, 2, 5, 161, 203, 665, 791, 659, 356, 73], [1, 2, 6, 154, 224, 630, 826, 638, 363, 72], [1, 2, 7, 147, 245, 595, 861, 617, 370, 71], [1, 2, 8, 140, 266, 560, 896, 596, 377, 70], [1, 2, 9, 133, 287, 525, 931, 575, 384, 69], [1, 2, 10, 126, 308, 490, 966, 554, 391, 68], [1, 2, 11, 119, 329, 455, 1001, 533, 398, 67], [1, 2, 12, 112, 350, 420, 1036, 512, 405, 66], [1, 2, 13, 105, 371, 385, 1071, 491, 412, 65], [1, 2, 14, 98, 392, 350, 1106, 470, 419, 64], [1, 2, 15, 91, 413, 315, 1141, 449, 426, 63], [1, 2, 16, 84, 434, 280, 1176, 428, 433, 62], [1, 2, 17, 77, 455, 245, 1211, 407, 440, 61], [1, 2, 18, 70, 476, 210, 1246, 386, 447, 60], [1, 2, 19, 63, 497, 175, 1281, 365, 454, 59], [1, 2, 20, 56, 518, 140, 1316, 344, 461, 58], [1, 2, 21, 49, 539, 105, 1351, 323, 468, 57], [1, 2, 22, 42, 560, 70, 1386, 302, 475, 56], [1, 2, 23, 35, 581, 35, 1421, 281, 482, 55], [1, 2, 24, 28, 602, 0, 1456, 260, 489, 54], [1, 3, 0, 168, 210, 630, 840, 624, 369, 71], [1, 3, 1, 161, 231, 595, 875, 603, 376, 70], [1, 3, 2, 154, 252, 560, 910, 582, 383, 69], [1, 3, 3, 147, 273, 525, 945, 561, 390, 68], [1, 3, 4, 140, 294, 490, 980, 540, 397, 67], [1, 3, 5, 133, 315, 455, 1015, 519, 404, 66], [1, 3, 6, 126, 336, 420, 1050, 498, 411, 65], [1, 3, 7, 119, 357, 385, 1085, 477, 418, 64], [1, 3, 8, 112, 378, 350, 1120, 456, 425, 63], [1, 3, 9, 105, 399, 315, 1155, 435, 432, 62], [1, 3, 10, 98, 420, 280, 1190, 414, 439, 61], [1, 3, 11, 91, 441, 245, 1225, 393, 446, 60], [1, 3, 12, 84, 462, 210, 1260, 372, 453, 59], [1, 3, 13, 77, 483, 175, 1295, 351, 460, 58], [1, 3, 14, 70, 504, 140, 1330, 330, 467, 57], [1, 3, 15, 63, 525, 105, 1365, 309, 474, 56], [1, 3, 16, 56, 546, 70, 1400, 288, 481, 55], [1, 3, 17, 49, 567, 35, 1435, 267, 488, 54], [1, 3, 18, 42, 588, 0, 1470, 246, 495, 53], [1, 4, 0, 140, 322, 420, 1064, 484, 417, 64], [1, 4, 1, 133, 343, 385, 1099, 463, 424, 63], [1, 4, 2, 126, 364, 350, 1134, 442, 431, 62], [1, 4, 3, 119, 385, 315, 1169, 421, 438, 61], [1, 4, 4, 112, 406, 280, 1204, 400, 445, 60], [1, 4, 5, 105, 427, 245, 1239, 379, 452, 59], [1, 4, 6, 98, 448, 210, 1274, 358, 459, 58], [1, 4, 7, 91, 469, 175, 1309, 337, 466, 57], [1, 4, 8, 84, 490, 140, 1344, 316, 473, 56], [1, 4, 9, 77, 511, 105, 1379, 295, 480, 55], [1, 4, 10, 70, 532, 70, 1414, 274, 487, 54], [1, 4, 11, 63, 553, 35, 1449, 253, 494, 53], [1, 4, 12, 56, 574, 0, 1484, 232, 501, 52], [1, 5, 0, 112, 434, 210, 1288, 344, 465, 57], [1, 5, 1, 105, 455, 175, 1323, 323, 472, 56], [1, 5, 2, 98, 476, 140, 1358, 302, 479, 55], [1, 5, 3, 91, 497, 105, 1393, 281, 486, 54], [1, 5, 4, 84, 518, 70, 1428, 260, 493, 53], [1, 5, 5, 77, 539, 35, 1463, 239, 500, 52], [1, 5, 6, 70, 560, 0, 1498, 218, 507, 51], [1, 6, 0, 84, 546, 0, 1512, 204, 513, 50], [2, 0, 0, 168, 252, 504, 1008, 504, 414, 64], [2, 0, 1, 161, 273, 469, 1043, 483, 421, 63], [2, 0, 2, 154, 294, 434, 1078, 462, 428, 62], [2, 0, 3, 147, 315, 399, 1113, 441, 435, 61], [2, 0, 4, 140, 336, 364, 1148, 420, 442, 60], [2, 0, 5, 133, 357, 329, 1183, 399, 449, 59], [2, 0, 6, 126, 378, 294, 1218, 378, 456, 58], [2, 0, 7, 119, 399, 259, 1253, 357, 463, 57], [2, 0, 8, 112, 420, 224, 1288, 336, 470, 56], [2, 0, 9, 105, 441, 189, 1323, 315, 477, 55], [2, 0, 10, 98, 462, 154, 1358, 294, 484, 54], [2, 0, 11, 91, 483, 119, 1393, 273, 491, 53], [2, 0, 12, 84, 504, 84, 1428, 252, 498, 52], [2, 0, 13, 77, 525, 49, 1463, 231, 505, 51], [2, 0, 14, 70, 546, 14, 1498, 210, 512, 50], [2, 1, 0, 140, 364, 294, 1232, 364, 462, 57], [2, 1, 1, 133, 385, 259, 1267, 343, 469, 56], [2, 1, 2, 126, 406, 224, 1302, 322, 476, 55], [2, 1, 3, 119, 427, 189, 1337, 301, 483, 54], [2, 1, 4, 112, 448, 154, 1372, 280, 490, 53], [2, 1, 5, 105, 469, 119, 1407, 259, 497, 52], [2, 1, 6, 98, 490, 84, 1442, 238, 504, 51], [2, 1, 7, 91, 511, 49, 1477, 217, 511, 50], [2, 1, 8, 84, 532, 14, 1512, 196, 518, 49], [2, 2, 0, 112, 476, 84, 1456, 224, 510, 50], [2, 2, 1, 105, 497, 49, 1491, 203, 517, 49], [2, 2, 2, 98, 518, 14, 1526, 182, 524, 48]}
(10, 2916, 6) has 739 possible DDs: {[1, 0, 0, 48, 294, 0, 1260, 240, 837, 176, 60], [1, 0, 0, 49, 287, 21, 1225, 275, 816, 183, 59], [1, 0, 0, 50, 280, 42, 1190, 310, 795, 190, 58], [1, 0, 0, 51, 273, 63, 1155, 345, 774, 197, 57], [1, 0, 0, 52, 266, 84, 1120, 380, 753, 204, 56], [1, 0, 0, 53, 259, 105, 1085, 415, 732, 211, 55], [1, 0, 0, 54, 252, 126, 1050, 450, 711, 218, 54], [1, 0, 0, 55, 245, 147, 1015, 485, 690, 225, 53], [1, 0, 0, 56, 238, 168, 980, 520, 669, 232, 52], [1, 0, 0, 57, 231, 189, 945, 555, 648, 239, 51], [1, 0, 0, 58, 224, 210, 910, 590, 627, 246, 50], [1, 0, 0, 59, 217, 231, 875, 625, 606, 253, 49], [1, 0, 0, 60, 210, 252, 840, 660, 585, 260, 48], [1, 0, 0, 61, 203, 273, 805, 695, 564, 267, 47], [1, 0, 0, 62, 196, 294, 770, 730, 543, 274, 46], [1, 0, 0, 63, 189, 315, 735, 765, 522, 281, 45], [1, 0, 0, 64, 182, 336, 700, 800, 501, 288, 44], [1, 0, 0, 65, 175, 357, 665, 835, 480, 295, 43], [1, 0, 0, 66, 168, 378, 630, 870, 459, 302, 42], [1, 0, 0, 67, 161, 399, 595, 905, 438, 309, 41], [1, 0, 0, 68, 154, 420, 560, 940, 417, 316, 40], [1, 0, 0, 69, 147, 441, 525, 975, 396, 323, 39], [1, 0, 0, 70, 140, 462, 490, 1010, 375, 330, 38], [1, 0, 0, 71, 133, 483, 455, 1045, 354, 337, 37], [1, 0, 0, 72, 126, 504, 420, 1080, 333, 344, 36], [1, 0, 0, 73, 119, 525, 385, 1115, 312, 351, 35], [1, 0, 0, 74, 112, 546, 350, 1150, 291, 358, 34], [1, 0, 0, 75, 105, 567, 315, 1185, 270, 365, 33], [1, 0, 0, 76, 98, 588, 280, 1220, 249, 372, 32], [1, 0, 0, 77, 91, 609, 245, 1255, 228, 379, 31], [1, 0, 0, 78, 84, 630, 210, 1290, 207, 386, 30], [1, 0, 0, 79, 77, 651, 175, 1325, 186, 393, 29], [1, 0, 0, 80, 70, 672, 140, 1360, 165, 400, 28], [1, 0, 0, 81, 63, 693, 105, 1395, 144, 407, 27], [1, 0, 0, 82, 56, 714, 70, 1430, 123, 414, 26], [1, 0, 0, 83, 49, 735, 35, 1465, 102, 421, 25], [1, 0, 0, 84, 42, 756, 0, 1500, 81, 428, 24], [1, 0, 1, 43, 301, 7, 1225, 289, 802, 189, 58], [1, 0, 1, 44, 294, 28, 1190, 324, 781, 196, 57], [1, 0, 1, 45, 287, 49, 1155, 359, 760, 203, 56], [1, 0, 1, 46, 280, 70, 1120, 394, 739, 210, 55], [1, 0, 1, 47, 273, 91, 1085, 429, 718, 217, 54], [1, 0, 1, 48, 266, 112, 1050, 464, 697, 224, 53], [1, 0, 1, 49, 259, 133, 1015, 499, 676, 231, 52], [1, 0, 1, 50, 252, 154, 980, 534, 655, 238, 51], [1, 0, 1, 51, 245, 175, 945, 569, 634, 245, 50], [1, 0, 1, 52, 238, 196, 910, 604, 613, 252, 49], [1, 0, 1, 53, 231, 217, 875, 639, 592, 259, 48], [1, 0, 1, 54, 224, 238, 840, 674, 571, 266, 47], [1, 0, 1, 55, 217, 259, 805, 709, 550, 273, 46], [1, 0, 1, 56, 210, 280, 770, 744, 529, 280, 45], [1, 0, 1, 57, 203, 301, 735, 779, 508, 287, 44], [1, 0, 1, 58, 196, 322, 700, 814, 487, 294, 43], [1, 0, 1, 59, 189, 343, 665, 849, 466, 301, 42], [1, 0, 1, 60, 182, 364, 630, 884, 445, 308, 41], [1, 0, 1, 61, 175, 385, 595, 919, 424, 315, 40], [1, 0, 1, 62, 168, 406, 560, 954, 403, 322, 39], [1, 0, 1, 63, 161, 427, 525, 989, 382, 329, 38], [1, 0, 1, 64, 154, 448, 490, 1024, 361, 336, 37], [1, 0, 1, 65, 147, 469, 455, 1059, 340, 343, 36], [1, 0, 1, 66, 140, 490, 420, 1094, 319, 350, 35], [1, 0, 1, 67, 133, 511, 385, 1129, 298, 357, 34], [1, 0, 1, 68, 126, 532, 350, 1164, 277, 364, 33], [1, 0, 1, 69, 119, 553, 315, 1199, 256, 371, 32], [1, 0, 1, 70, 112, 574, 280, 1234, 235, 378, 31], [1, 0, 1, 71, 105, 595, 245, 1269, 214, 385, 30], [1, 0, 1, 72, 98, 616, 210, 1304, 193, 392, 29], [1, 0, 1, 73, 91, 637, 175, 1339, 172, 399, 28], [1, 0, 1, 74, 84, 658, 140, 1374, 151, 406, 27], [1, 0, 1, 75, 77, 679, 105, 1409, 130, 413, 26], [1, 0, 1, 76, 70, 700, 70, 1444, 109, 420, 25], [1, 0, 1, 77, 63, 721, 35, 1479, 88, 427, 24], [1, 0, 1, 78, 56, 742, 0, 1514, 67, 434, 23], [1, 0, 2, 38, 308, 14, 1190, 338, 767, 202, 56], [1, 0, 2, 39, 301, 35, 1155, 373, 746, 209, 55], [1, 0, 2, 40, 294, 56, 1120, 408, 725, 216, 54], [1, 0, 2, 41, 287, 77, 1085, 443, 704, 223, 53], [1, 0, 2, 42, 280, 98, 1050, 478, 683, 230, 52], [1, 0, 2, 43, 273, 119, 1015, 513, 662, 237, 51], [1, 0, 2, 44, 266, 140, 980, 548, 641, 244, 50], [1, 0, 2, 45, 259, 161, 945, 583, 620, 251, 49], [1, 0, 2, 46, 252, 182, 910, 618, 599, 258, 48], [1, 0, 2, 47, 245, 203, 875, 653, 578, 265, 47], [1, 0, 2, 48, 238, 224, 840, 688, 557, 272, 46], [1, 0, 2, 49, 231, 245, 805, 723, 536, 279, 45], [1, 0, 2, 50, 224, 266, 770, 758, 515, 286, 44], [1, 0, 2, 51, 217, 287, 735, 793, 494, 293, 43], [1, 0, 2, 52, 210, 308, 700, 828, 473, 300, 42], [1, 0, 2, 53, 203, 329, 665, 863, 452, 307, 41], [1, 0, 2, 54, 196, 350, 630, 898, 431, 314, 40], [1, 0, 2, 55, 189, 371, 595, 933, 410, 321, 39], [1, 0, 2, 56, 182, 392, 560, 968, 389, 328, 38], [1, 0, 2, 57, 175, 413, 525, 1003, 368, 335, 37], [1, 0, 2, 58, 168, 434, 490, 1038, 347, 342, 36], [1, 0, 2, 59, 161, 455, 455, 1073, 326, 349, 35], [1, 0, 2, 60, 154, 476, 420, 1108, 305, 356, 34], [1, 0, 2, 61, 147, 497, 385, 1143, 284, 363, 33], [1, 0, 2, 62, 140, 518, 350, 1178, 263, 370, 32], [1, 0, 2, 63, 133, 539, 315, 1213, 242, 377, 31], [1, 0, 2, 64, 126, 560, 280, 1248, 221, 384, 30], [1, 0, 2, 65, 119, 581, 245, 1283, 200, 391, 29], [1, 0, 2, 66, 112, 602, 210, 1318, 179, 398, 28], [1, 0, 2, 67, 105, 623, 175, 1353, 158, 405, 27], [1, 0, 2, 68, 98, 644, 140, 1388, 137, 412, 26], [1, 0, 2, 69, 91, 665, 105, 1423, 116, 419, 25], [1, 0, 2, 70, 84, 686, 70, 1458, 95, 426, 24], [1, 0, 2, 71, 77, 707, 35, 1493, 74, 433, 23], [1, 0, 2, 72, 70, 728, 0, 1528, 53, 440, 22], [1, 0, 3, 32, 322, 0, 1190, 352, 753, 208, 55], [1, 0, 3, 33, 315, 21, 1155, 387, 732, 215, 54], [1, 0, 3, 34, 308, 42, 1120, 422, 711, 222, 53], [1, 0, 3, 35, 301, 63, 1085, 457, 690, 229, 52], [1, 0, 3, 36, 294, 84, 1050, 492, 669, 236, 51], [1, 0, 3, 37, 287, 105, 1015, 527, 648, 243, 50], [1, 0, 3, 38, 280, 126, 980, 562, 627, 250, 49], [1, 0, 3, 39, 273, 147, 945, 597, 606, 257, 48], [1, 0, 3, 40, 266, 168, 910, 632, 585, 264, 47], [1, 0, 3, 41, 259, 189, 875, 667, 564, 271, 46], [1, 0, 3, 42, 252, 210, 840, 702, 543, 278, 45], [1, 0, 3, 43, 245, 231, 805, 737, 522, 285, 44], [1, 0, 3, 44, 238, 252, 770, 772, 501, 292, 43], [1, 0, 3, 45, 231, 273, 735, 807, 480, 299, 42], [1, 0, 3, 46, 224, 294, 700, 842, 459, 306, 41], [1, 0, 3, 47, 217, 315, 665, 877, 438, 313, 40], [1, 0, 3, 48, 210, 336, 630, 912, 417, 320, 39], [1, 0, 3, 49, 203, 357, 595, 947, 396, 327, 38], [1, 0, 3, 50, 196, 378, 560, 982, 375, 334, 37], [1, 0, 3, 51, 189, 399, 525, 1017, 354, 341, 36], [1, 0, 3, 52, 182, 420, 490, 1052, 333, 348, 35], [1, 0, 3, 53, 175, 441, 455, 1087, 312, 355, 34], [1, 0, 3, 54, 168, 462, 420, 1122, 291, 362, 33], [1, 0, 3, 55, 161, 483, 385, 1157, 270, 369, 32], [1, 0, 3, 56, 154, 504, 350, 1192, 249, 376, 31], [1, 0, 3, 57, 147, 525, 315, 1227, 228, 383, 30], [1, 0, 3, 58, 140, 546, 280, 1262, 207, 390, 29], [1, 0, 3, 59, 133, 567, 245, 1297, 186, 397, 28], [1, 0, 3, 60, 126, 588, 210, 1332, 165, 404, 27], [1, 0, 3, 61, 119, 609, 175, 1367, 144, 411, 26], [1, 0, 3, 62, 112, 630, 140, 1402, 123, 418, 25], [1, 0, 3, 63, 105, 651, 105, 1437, 102, 425, 24], [1, 0, 3, 64, 98, 672, 70, 1472, 81, 432, 23], [1, 0, 3, 65, 91, 693, 35, 1507, 60, 439, 22], [1, 0, 3, 66, 84, 714, 0, 1542, 39, 446, 21], [1, 0, 4, 27, 329, 7, 1155, 401, 718, 221, 53], [1, 0, 4, 28, 322, 28, 1120, 436, 697, 228, 52], [1, 0, 4, 29, 315, 49, 1085, 471, 676, 235, 51], [1, 0, 4, 30, 308, 70, 1050, 506, 655, 242, 50], [1, 0, 4, 31, 301, 91, 1015, 541, 634, 249, 49], [1, 0, 4, 32, 294, 112, 980, 576, 613, 256, 48], [1, 0, 4, 33, 287, 133, 945, 611, 592, 263, 47], [1, 0, 4, 34, 280, 154, 910, 646, 571, 270, 46], [1, 0, 4, 35, 273, 175, 875, 681, 550, 277, 45], [1, 0, 4, 36, 266, 196, 840, 716, 529, 284, 44], [1, 0, 4, 37, 259, 217, 805, 751, 508, 291, 43], [1, 0, 4, 38, 252, 238, 770, 786, 487, 298, 42], [1, 0, 4, 39, 245, 259, 735, 821, 466, 305, 41], [1, 0, 4, 40, 238, 280, 700, 856, 445, 312, 40], [1, 0, 4, 41, 231, 301, 665, 891, 424, 319, 39], [1, 0, 4, 42, 224, 322, 630, 926, 403, 326, 38], [1, 0, 4, 43, 217, 343, 595, 961, 382, 333, 37], [1, 0, 4, 44, 210, 364, 560, 996, 361, 340, 36], [1, 0, 4, 45, 203, 385, 525, 1031, 340, 347, 35], [1, 0, 4, 46, 196, 406, 490, 1066, 319, 354, 34], [1, 0, 4, 47, 189, 427, 455, 1101, 298, 361, 33], [1, 0, 4, 48, 182, 448, 420, 1136, 277, 368, 32], [1, 0, 4, 49, 175, 469, 385, 1171, 256, 375, 31], [1, 0, 4, 50, 168, 490, 350, 1206, 235, 382, 30], [1, 0, 4, 51, 161, 511, 315, 1241, 214, 389, 29], [1, 0, 4, 52, 154, 532, 280, 1276, 193, 396, 28], [1, 0, 4, 53, 147, 553, 245, 1311, 172, 403, 27], [1, 0, 4, 54, 140, 574, 210, 1346, 151, 410, 26], [1, 0, 4, 55, 133, 595, 175, 1381, 130, 417, 25], [1, 0, 4, 56, 126, 616, 140, 1416, 109, 424, 24], [1, 0, 4, 57, 119, 637, 105, 1451, 88, 431, 23], [1, 0, 4, 58, 112, 658, 70, 1486, 67, 438, 22], [1, 0, 4, 59, 105, 679, 35, 1521, 46, 445, 21], [1, 0, 4, 60, 98, 700, 0, 1556, 25, 452, 20], [1, 0, 5, 22, 336, 14, 1120, 450, 683, 234, 51], [1, 0, 5, 23, 329, 35, 1085, 485, 662, 241, 50], [1, 0, 5, 24, 322, 56, 1050, 520, 641, 248, 49], [1, 0, 5, 25, 315, 77, 1015, 555, 620, 255, 48], [1, 0, 5, 26, 308, 98, 980, 590, 599, 262, 47], [1, 0, 5, 27, 301, 119, 945, 625, 578, 269, 46], [1, 0, 5, 28, 294, 140, 910, 660, 557, 276, 45], [1, 0, 5, 29, 287, 161, 875, 695, 536, 283, 44], [1, 0, 5, 30, 280, 182, 840, 730, 515, 290, 43], [1, 0, 5, 31, 273, 203, 805, 765, 494, 297, 42], [1, 0, 5, 32, 266, 224, 770, 800, 473, 304, 41], [1, 0, 5, 33, 259, 245, 735, 835, 452, 311, 40], [1, 0, 5, 34, 252, 266, 700, 870, 431, 318, 39], [1, 0, 5, 35, 245, 287, 665, 905, 410, 325, 38], [1, 0, 5, 36, 238, 308, 630, 940, 389, 332, 37], [1, 0, 5, 37, 231, 329, 595, 975, 368, 339, 36], [1, 0, 5, 38, 224, 350, 560, 1010, 347, 346, 35], [1, 0, 5, 39, 217, 371, 525, 1045, 326, 353, 34], [1, 0, 5, 40, 210, 392, 490, 1080, 305, 360, 33], [1, 0, 5, 41, 203, 413, 455, 1115, 284, 367, 32], [1, 0, 5, 42, 196, 434, 420, 1150, 263, 374, 31], [1, 0, 5, 43, 189, 455, 385, 1185, 242, 381, 30], [1, 0, 5, 44, 182, 476, 350, 1220, 221, 388, 29], [1, 0, 5, 45, 175, 497, 315, 1255, 200, 395, 28], [1, 0, 5, 46, 168, 518, 280, 1290, 179, 402, 27], [1, 0, 5, 47, 161, 539, 245, 1325, 158, 409, 26], [1, 0, 5, 48, 154, 560, 210, 1360, 137, 416, 25], [1, 0, 5, 49, 147, 581, 175, 1395, 116, 423, 24], [1, 0, 5, 50, 140, 602, 140, 1430, 95, 430, 23], [1, 0, 5, 51, 133, 623, 105, 1465, 74, 437, 22], [1, 0, 5, 52, 126, 644, 70, 1500, 53, 444, 21], [1, 0, 5, 53, 119, 665, 35, 1535, 32, 451, 20], [1, 0, 5, 54, 112, 686, 0, 1570, 11, 458, 19], [1, 0, 6, 16, 350, 0, 1120, 464, 669, 240, 50], [1, 0, 6, 17, 343, 21, 1085, 499, 648, 247, 49], [1, 0, 6, 18, 336, 42, 1050, 534, 627, 254, 48], [1, 0, 6, 19, 329, 63, 1015, 569, 606, 261, 47], [1, 0, 6, 20, 322, 84, 980, 604, 585, 268, 46], [1, 0, 6, 21, 315, 105, 945, 639, 564, 275, 45], [1, 0, 6, 22, 308, 126, 910, 674, 543, 282, 44], [1, 0, 6, 23, 301, 147, 875, 709, 522, 289, 43], [1, 0, 6, 24, 294, 168, 840, 744, 501, 296, 42], [1, 0, 6, 25, 287, 189, 805, 779, 480, 303, 41], [1, 0, 6, 26, 280, 210, 770, 814, 459, 310, 40], [1, 0, 6, 27, 273, 231, 735, 849, 438, 317, 39], [1, 0, 6, 28, 266, 252, 700, 884, 417, 324, 38], [1, 0, 6, 29, 259, 273, 665, 919, 396, 331, 37], [1, 0, 6, 30, 252, 294, 630, 954, 375, 338, 36], [1, 0, 6, 31, 245, 315, 595, 989, 354, 345, 35], [1, 0, 6, 32, 238, 336, 560, 1024, 333, 352, 34], [1, 0, 6, 33, 231, 357, 525, 1059, 312, 359, 33], [1, 0, 6, 34, 224, 378, 490, 1094, 291, 366, 32], [1, 0, 6, 35, 217, 399, 455, 1129, 270, 373, 31], [1, 0, 6, 36, 210, 420, 420, 1164, 249, 380, 30], [1, 0, 6, 37, 203, 441, 385, 1199, 228, 387, 29], [1, 0, 6, 38, 196, 462, 350, 1234, 207, 394, 28], [1, 0, 6, 39, 189, 483, 315, 1269, 186, 401, 27], [1, 0, 6, 40, 182, 504, 280, 1304, 165, 408, 26], [1, 0, 6, 41, 175, 525, 245, 1339, 144, 415, 25], [1, 0, 6, 42, 168, 546, 210, 1374, 123, 422, 24], [1, 0, 6, 43, 161, 567, 175, 1409, 102, 429, 23], [1, 0, 6, 44, 154, 588, 140, 1444, 81, 436, 22], [1, 0, 6, 45, 147, 609, 105, 1479, 60, 443, 21], [1, 0, 6, 46, 140, 630, 70, 1514, 39, 450, 20], [1, 0, 6, 47, 133, 651, 35, 1549, 18, 457, 19], [1, 0, 7, 11, 357, 7, 1085, 513, 634, 253, 48], [1, 0, 7, 12, 350, 28, 1050, 548, 613, 260, 47], [1, 0, 7, 13, 343, 49, 1015, 583, 592, 267, 46], [1, 0, 7, 14, 336, 70, 980, 618, 571, 274, 45], [1, 0, 7, 15, 329, 91, 945, 653, 550, 281, 44], [1, 0, 7, 16, 322, 112, 910, 688, 529, 288, 43], [1, 0, 7, 17, 315, 133, 875, 723, 508, 295, 42], [1, 0, 7, 18, 308, 154, 840, 758, 487, 302, 41], [1, 0, 7, 19, 301, 175, 805, 793, 466, 309, 40], [1, 0, 7, 20, 294, 196, 770, 828, 445, 316, 39], [1, 0, 7, 21, 287, 217, 735, 863, 424, 323, 38], [1, 0, 7, 22, 280, 238, 700, 898, 403, 330, 37], [1, 0, 7, 23, 273, 259, 665, 933, 382, 337, 36], [1, 0, 7, 24, 266, 280, 630, 968, 361, 344, 35], [1, 0, 7, 25, 259, 301, 595, 1003, 340, 351, 34], [1, 0, 7, 26, 252, 322, 560, 1038, 319, 358, 33], [1, 0, 7, 27, 245, 343, 525, 1073, 298, 365, 32], [1, 0, 7, 28, 238, 364, 490, 1108, 277, 372, 31], [1, 0, 7, 29, 231, 385, 455, 1143, 256, 379, 30], [1, 0, 7, 30, 224, 406, 420, 1178, 235, 386, 29], [1, 0, 7, 31, 217, 427, 385, 1213, 214, 393, 28], [1, 0, 7, 32, 210, 448, 350, 1248, 193, 400, 27], [1, 0, 7, 33, 203, 469, 315, 1283, 172, 407, 26], [1, 0, 7, 34, 196, 490, 280, 1318, 151, 414, 25], [1, 0, 7, 35, 189, 511, 245, 1353, 130, 421, 24], [1, 0, 7, 36, 182, 532, 210, 1388, 109, 428, 23], [1, 0, 7, 37, 175, 553, 175, 1423, 88, 435, 22], [1, 0, 7, 38, 168, 574, 140, 1458, 67, 442, 21], [1, 0, 7, 39, 161, 595, 105, 1493, 46, 449, 20], [1, 0, 7, 40, 154, 616, 70, 1528, 25, 456, 19], [1, 0, 7, 41, 147, 637, 35, 1563, 4, 463, 18], [1, 0, 8, 6, 364, 14, 1050, 562, 599, 266, 46], [1, 0, 8, 7, 357, 35, 1015, 597, 578, 273, 45], [1, 0, 8, 8, 350, 56, 980, 632, 557, 280, 44], [1, 0, 8, 9, 343, 77, 945, 667, 536, 287, 43], [1, 0, 8, 10, 336, 98, 910, 702, 515, 294, 42], [1, 0, 8, 11, 329, 119, 875, 737, 494, 301, 41], [1, 0, 8, 12, 322, 140, 840, 772, 473, 308, 40], [1, 0, 8, 13, 315, 161, 805, 807, 452, 315, 39], [1, 0, 8, 14, 308, 182, 770, 842, 431, 322, 38], [1, 0, 8, 15, 301, 203, 735, 877, 410, 329, 37], [1, 0, 8, 16, 294, 224, 700, 912, 389, 336, 36], [1, 0, 8, 17, 287, 245, 665, 947, 368, 343, 35], [1, 0, 8, 18, 280, 266, 630, 982, 347, 350, 34], [1, 0, 8, 19, 273, 287, 595, 1017, 326, 357, 33], [1, 0, 8, 20, 266, 308, 560, 1052, 305, 364, 32], [1, 0, 8, 21, 259, 329, 525, 1087, 284, 371, 31], [1, 0, 8, 22, 252, 350, 490, 1122, 263, 378, 30], [1, 0, 8, 23, 245, 371, 455, 1157, 242, 385, 29], [1, 0, 8, 24, 238, 392, 420, 1192, 221, 392, 28], [1, 0, 8, 25, 231, 413, 385, 1227, 200, 399, 27], [1, 0, 8, 26, 224, 434, 350, 1262, 179, 406, 26], [1, 0, 8, 27, 217, 455, 315, 1297, 158, 413, 25], [1, 0, 8, 28, 210, 476, 280, 1332, 137, 420, 24], [1, 0, 8, 29, 203, 497, 245, 1367, 116, 427, 23], [1, 0, 8, 30, 196, 518, 210, 1402, 95, 434, 22], [1, 0, 8, 31, 189, 539, 175, 1437, 74, 441, 21], [1, 0, 8, 32, 182, 560, 140, 1472, 53, 448, 20], [1, 0, 8, 33, 175, 581, 105, 1507, 32, 455, 19], [1, 0, 8, 34, 168, 602, 70, 1542, 11, 462, 18], [1, 0, 9, 0, 378, 0, 1050, 576, 585, 272, 45], [1, 0, 9, 1, 371, 21, 1015, 611, 564, 279, 44], [1, 0, 9, 2, 364, 42, 980, 646, 543, 286, 43], [1, 0, 9, 3, 357, 63, 945, 681, 522, 293, 42], [1, 0, 9, 4, 350, 84, 910, 716, 501, 300, 41], [1, 0, 9, 5, 343, 105, 875, 751, 480, 307, 40], [1, 0, 9, 6, 336, 126, 840, 786, 459, 314, 39], [1, 0, 9, 7, 329, 147, 805, 821, 438, 321, 38], [1, 0, 9, 8, 322, 168, 770, 856, 417, 328, 37], [1, 0, 9, 9, 315, 189, 735, 891, 396, 335, 36], [1, 0, 9, 10, 308, 210, 700, 926, 375, 342, 35], [1, 0, 9, 11, 301, 231, 665, 961, 354, 349, 34], [1, 0, 9, 12, 294, 252, 630, 996, 333, 356, 33], [1, 0, 9, 13, 287, 273, 595, 1031, 312, 363, 32], [1, 0, 9, 14, 280, 294, 560, 1066, 291, 370, 31], [1, 0, 9, 15, 273, 315, 525, 1101, 270, 377, 30], [1, 0, 9, 16, 266, 336, 490, 1136, 249, 384, 29], [1, 0, 9, 17, 259, 357, 455, 1171, 228, 391, 28], [1, 0, 9, 18, 252, 378, 420, 1206, 207, 398, 27], [1, 0, 9, 19, 245, 399, 385, 1241, 186, 405, 26], [1, 0, 9, 20, 238, 420, 350, 1276, 165, 412, 25], [1, 0, 9, 21, 231, 441, 315, 1311, 144, 419, 24], [1, 0, 9, 22, 224, 462, 280, 1346, 123, 426, 23], [1, 0, 9, 23, 217, 483, 245, 1381, 102, 433, 22], [1, 0, 9, 24, 210, 504, 210, 1416, 81, 440, 21], [1, 0, 9, 25, 203, 525, 175, 1451, 60, 447, 20], [1, 0, 9, 26, 196, 546, 140, 1486, 39, 454, 19], [1, 0, 9, 27, 189, 567, 105, 1521, 18, 461, 18], [1, 0, 10, 0, 350, 112, 840, 800, 445, 320, 38], [1, 0, 10, 1, 343, 133, 805, 835, 424, 327, 37], [1, 0, 10, 2, 336, 154, 770, 870, 403, 334, 36], [1, 0, 10, 3, 329, 175, 735, 905, 382, 341, 35], [1, 0, 10, 4, 322, 196, 700, 940, 361, 348, 34], [1, 0, 10, 5, 315, 217, 665, 975, 340, 355, 33], [1, 0, 10, 6, 308, 238, 630, 1010, 319, 362, 32], [1, 0, 10, 7, 301, 259, 595, 1045, 298, 369, 31], [1, 0, 10, 8, 294, 280, 560, 1080, 277, 376, 30], [1, 0, 10, 9, 287, 301, 525, 1115, 256, 383, 29], [1, 0, 10, 10, 280, 322, 490, 1150, 235, 390, 28], [1, 0, 10, 11, 273, 343, 455, 1185, 214, 397, 27], [1, 0, 10, 12, 266, 364, 420, 1220, 193, 404, 26], [1, 0, 10, 13, 259, 385, 385, 1255, 172, 411, 25], [1, 0, 10, 14, 252, 406, 350, 1290, 151, 418, 24], [1, 0, 10, 15, 245, 427, 315, 1325, 130, 425, 23], [1, 0, 10, 16, 238, 448, 280, 1360, 109, 432, 22], [1, 0, 10, 17, 231, 469, 245, 1395, 88, 439, 21], [1, 0, 10, 18, 224, 490, 210, 1430, 67, 446, 20], [1, 0, 10, 19, 217, 511, 175, 1465, 46, 453, 19], [1, 0, 10, 20, 210, 532, 140, 1500, 25, 460, 18], [1, 0, 10, 21, 203, 553, 105, 1535, 4, 467, 17], [1, 0, 11, 0, 322, 224, 630, 1024, 305, 368, 31], [1, 0, 11, 1, 315, 245, 595, 1059, 284, 375, 30], [1, 0, 11, 2, 308, 266, 560, 1094, 263, 382, 29], [1, 0, 11, 3, 301, 287, 525, 1129, 242, 389, 28], [1, 0, 11, 4, 294, 308, 490, 1164, 221, 396, 27], [1, 0, 11, 5, 287, 329, 455, 1199, 200, 403, 26], [1, 0, 11, 6, 280, 350, 420, 1234, 179, 410, 25], [1, 0, 11, 7, 273, 371, 385, 1269, 158, 417, 24], [1, 0, 11, 8, 266, 392, 350, 1304, 137, 424, 23], [1, 0, 11, 9, 259, 413, 315, 1339, 116, 431, 22], [1, 0, 11, 10, 252, 434, 280, 1374, 95, 438, 21], [1, 0, 11, 11, 245, 455, 245, 1409, 74, 445, 20], [1, 0, 11, 12, 238, 476, 210, 1444, 53, 452, 19], [1, 0, 11, 13, 231, 497, 175, 1479, 32, 459, 18], [1, 0, 11, 14, 224, 518, 140, 1514, 11, 466, 17], [1, 0, 12, 0, 294, 336, 420, 1248, 165, 416, 24], [1, 0, 12, 1, 287, 357, 385, 1283, 144, 423, 23], [1, 0, 12, 2, 280, 378, 350, 1318, 123, 430, 22], [1, 0, 12, 3, 273, 399, 315, 1353, 102, 437, 21], [1, 0, 12, 4, 266, 420, 280, 1388, 81, 444, 20], [1, 0, 12, 5, 259, 441, 245, 1423, 60, 451, 19], [1, 0, 12, 6, 252, 462, 210, 1458, 39, 458, 18], [1, 0, 12, 7, 245, 483, 175, 1493, 18, 465, 17], [1, 0, 13, 0, 266, 448, 210, 1472, 25, 464, 17], [1, 0, 13, 1, 259, 469, 175, 1507, 4, 471, 16], [1, 1, 0, 30, 336, 0, 1134, 450, 675, 239, 50], [1, 1, 0, 31, 329, 21, 1099, 485, 654, 246, 49], [1, 1, 0, 32, 322, 42, 1064, 520, 633, 253, 48], [1, 1, 0, 33, 315, 63, 1029, 555, 612, 260, 47], [1, 1, 0, 34, 308, 84, 994, 590, 591, 267, 46], [1, 1, 0, 35, 301, 105, 959, 625, 570, 274, 45], [1, 1, 0, 36, 294, 126, 924, 660, 549, 281, 44], [1, 1, 0, 37, 287, 147, 889, 695, 528, 288, 43], [1, 1, 0, 38, 280, 168, 854, 730, 507, 295, 42], [1, 1, 0, 39, 273, 189, 819, 765, 486, 302, 41], [1, 1, 0, 40, 266, 210, 784, 800, 465, 309, 40], [1, 1, 0, 41, 259, 231, 749, 835, 444, 316, 39], [1, 1, 0, 42, 252, 252, 714, 870, 423, 323, 38], [1, 1, 0, 43, 245, 273, 679, 905, 402, 330, 37], [1, 1, 0, 44, 238, 294, 644, 940, 381, 337, 36], [1, 1, 0, 45, 231, 315, 609, 975, 360, 344, 35], [1, 1, 0, 46, 224, 336, 574, 1010, 339, 351, 34], [1, 1, 0, 47, 217, 357, 539, 1045, 318, 358, 33], [1, 1, 0, 48, 210, 378, 504, 1080, 297, 365, 32], [1, 1, 0, 49, 203, 399, 469, 1115, 276, 372, 31], [1, 1, 0, 50, 196, 420, 434, 1150, 255, 379, 30], [1, 1, 0, 51, 189, 441, 399, 1185, 234, 386, 29], [1, 1, 0, 52, 182, 462, 364, 1220, 213, 393, 28], [1, 1, 0, 53, 175, 483, 329, 1255, 192, 400, 27], [1, 1, 0, 54, 168, 504, 294, 1290, 171, 407, 26], [1, 1, 0, 55, 161, 525, 259, 1325, 150, 414, 25], [1, 1, 0, 56, 154, 546, 224, 1360, 129, 421, 24], [1, 1, 0, 57, 147, 567, 189, 1395, 108, 428, 23], [1, 1, 0, 58, 140, 588, 154, 1430, 87, 435, 22], [1, 1, 0, 59, 133, 609, 119, 1465, 66, 442, 21], [1, 1, 0, 60, 126, 630, 84, 1500, 45, 449, 20], [1, 1, 0, 61, 119, 651, 49, 1535, 24, 456, 19], [1, 1, 0, 62, 112, 672, 14, 1570, 3, 463, 18], [1, 1, 1, 25, 343, 7, 1099, 499, 640, 252, 48], [1, 1, 1, 26, 336, 28, 1064, 534, 619, 259, 47], [1, 1, 1, 27, 329, 49, 1029, 569, 598, 266, 46], [1, 1, 1, 28, 322, 70, 994, 604, 577, 273, 45], [1, 1, 1, 29, 315, 91, 959, 639, 556, 280, 44], [1, 1, 1, 30, 308, 112, 924, 674, 535, 287, 43], [1, 1, 1, 31, 301, 133, 889, 709, 514, 294, 42], [1, 1, 1, 32, 294, 154, 854, 744, 493, 301, 41], [1, 1, 1, 33, 287, 175, 819, 779, 472, 308, 40], [1, 1, 1, 34, 280, 196, 784, 814, 451, 315, 39], [1, 1, 1, 35, 273, 217, 749, 849, 430, 322, 38], [1, 1, 1, 36, 266, 238, 714, 884, 409, 329, 37], [1, 1, 1, 37, 259, 259, 679, 919, 388, 336, 36], [1, 1, 1, 38, 252, 280, 644, 954, 367, 343, 35], [1, 1, 1, 39, 245, 301, 609, 989, 346, 350, 34], [1, 1, 1, 40, 238, 322, 574, 1024, 325, 357, 33], [1, 1, 1, 41, 231, 343, 539, 1059, 304, 364, 32], [1, 1, 1, 42, 224, 364, 504, 1094, 283, 371, 31], [1, 1, 1, 43, 217, 385, 469, 1129, 262, 378, 30], [1, 1, 1, 44, 210, 406, 434, 1164, 241, 385, 29], [1, 1, 1, 45, 203, 427, 399, 1199, 220, 392, 28], [1, 1, 1, 46, 196, 448, 364, 1234, 199, 399, 27], [1, 1, 1, 47, 189, 469, 329, 1269, 178, 406, 26], [1, 1, 1, 48, 182, 490, 294, 1304, 157, 413, 25], [1, 1, 1, 49, 175, 511, 259, 1339, 136, 420, 24], [1, 1, 1, 50, 168, 532, 224, 1374, 115, 427, 23], [1, 1, 1, 51, 161, 553, 189, 1409, 94, 434, 22], [1, 1, 1, 52, 154, 574, 154, 1444, 73, 441, 21], [1, 1, 1, 53, 147, 595, 119, 1479, 52, 448, 20], [1, 1, 1, 54, 140, 616, 84, 1514, 31, 455, 19], [1, 1, 1, 55, 133, 637, 49, 1549, 10, 462, 18], [1, 1, 2, 20, 350, 14, 1064, 548, 605, 265, 46], [1, 1, 2, 21, 343, 35, 1029, 583, 584, 272, 45], [1, 1, 2, 22, 336, 56, 994, 618, 563, 279, 44], [1, 1, 2, 23, 329, 77, 959, 653, 542, 286, 43], [1, 1, 2, 24, 322, 98, 924, 688, 521, 293, 42], [1, 1, 2, 25, 315, 119, 889, 723, 500, 300, 41], [1, 1, 2, 26, 308, 140, 854, 758, 479, 307, 40], [1, 1, 2, 27, 301, 161, 819, 793, 458, 314, 39], [1, 1, 2, 28, 294, 182, 784, 828, 437, 321, 38], [1, 1, 2, 29, 287, 203, 749, 863, 416, 328, 37], [1, 1, 2, 30, 280, 224, 714, 898, 395, 335, 36], [1, 1, 2, 31, 273, 245, 679, 933, 374, 342, 35], [1, 1, 2, 32, 266, 266, 644, 968, 353, 349, 34], [1, 1, 2, 33, 259, 287, 609, 1003, 332, 356, 33], [1, 1, 2, 34, 252, 308, 574, 1038, 311, 363, 32], [1, 1, 2, 35, 245, 329, 539, 1073, 290, 370, 31], [1, 1, 2, 36, 238, 350, 504, 1108, 269, 377, 30], [1, 1, 2, 37, 231, 371, 469, 1143, 248, 384, 29], [1, 1, 2, 38, 224, 392, 434, 1178, 227, 391, 28], [1, 1, 2, 39, 217, 413, 399, 1213, 206, 398, 27], [1, 1, 2, 40, 210, 434, 364, 1248, 185, 405, 26], [1, 1, 2, 41, 203, 455, 329, 1283, 164, 412, 25], [1, 1, 2, 42, 196, 476, 294, 1318, 143, 419, 24], [1, 1, 2, 43, 189, 497, 259, 1353, 122, 426, 23], [1, 1, 2, 44, 182, 518, 224, 1388, 101, 433, 22], [1, 1, 2, 45, 175, 539, 189, 1423, 80, 440, 21], [1, 1, 2, 46, 168, 560, 154, 1458, 59, 447, 20], [1, 1, 2, 47, 161, 581, 119, 1493, 38, 454, 19], [1, 1, 2, 48, 154, 602, 84, 1528, 17, 461, 18], [1, 1, 3, 14, 364, 0, 1064, 562, 591, 271, 45], [1, 1, 3, 15, 357, 21, 1029, 597, 570, 278, 44], [1, 1, 3, 16, 350, 42, 994, 632, 549, 285, 43], [1, 1, 3, 17, 343, 63, 959, 667, 528, 292, 42], [1, 1, 3, 18, 336, 84, 924, 702, 507, 299, 41], [1, 1, 3, 19, 329, 105, 889, 737, 486, 306, 40], [1, 1, 3, 20, 322, 126, 854, 772, 465, 313, 39], [1, 1, 3, 21, 315, 147, 819, 807, 444, 320, 38], [1, 1, 3, 22, 308, 168, 784, 842, 423, 327, 37], [1, 1, 3, 23, 301, 189, 749, 877, 402, 334, 36], [1, 1, 3, 24, 294, 210, 714, 912, 381, 341, 35], [1, 1, 3, 25, 287, 231, 679, 947, 360, 348, 34], [1, 1, 3, 26, 280, 252, 644, 982, 339, 355, 33], [1, 1, 3, 27, 273, 273, 609, 1017, 318, 362, 32], [1, 1, 3, 28, 266, 294, 574, 1052, 297, 369, 31], [1, 1, 3, 29, 259, 315, 539, 1087, 276, 376, 30], [1, 1, 3, 30, 252, 336, 504, 1122, 255, 383, 29], [1, 1, 3, 31, 245, 357, 469, 1157, 234, 390, 28], [1, 1, 3, 32, 238, 378, 434, 1192, 213, 397, 27], [1, 1, 3, 33, 231, 399, 399, 1227, 192, 404, 26], [1, 1, 3, 34, 224, 420, 364, 1262, 171, 411, 25], [1, 1, 3, 35, 217, 441, 329, 1297, 150, 418, 24], [1, 1, 3, 36, 210, 462, 294, 1332, 129, 425, 23], [1, 1, 3, 37, 203, 483, 259, 1367, 108, 432, 22], [1, 1, 3, 38, 196, 504, 224, 1402, 87, 439, 21], [1, 1, 3, 39, 189, 525, 189, 1437, 66, 446, 20], [1, 1, 3, 40, 182, 546, 154, 1472, 45, 453, 19], [1, 1, 3, 41, 175, 567, 119, 1507, 24, 460, 18], [1, 1, 3, 42, 168, 588, 84, 1542, 3, 467, 17], [1, 1, 4, 9, 371, 7, 1029, 611, 556, 284, 43], [1, 1, 4, 10, 364, 28, 994, 646, 535, 291, 42], [1, 1, 4, 11, 357, 49, 959, 681, 514, 298, 41], [1, 1, 4, 12, 350, 70, 924, 716, 493, 305, 40], [1, 1, 4, 13, 343, 91, 889, 751, 472, 312, 39], [1, 1, 4, 14, 336, 112, 854, 786, 451, 319, 38], [1, 1, 4, 15, 329, 133, 819, 821, 430, 326, 37], [1, 1, 4, 16, 322, 154, 784, 856, 409, 333, 36], [1, 1, 4, 17, 315, 175, 749, 891, 388, 340, 35], [1, 1, 4, 18, 308, 196, 714, 926, 367, 347, 34], [1, 1, 4, 19, 301, 217, 679, 961, 346, 354, 33], [1, 1, 4, 20, 294, 238, 644, 996, 325, 361, 32], [1, 1, 4, 21, 287, 259, 609, 1031, 304, 368, 31], [1, 1, 4, 22, 280, 280, 574, 1066, 283, 375, 30], [1, 1, 4, 23, 273, 301, 539, 1101, 262, 382, 29], [1, 1, 4, 24, 266, 322, 504, 1136, 241, 389, 28], [1, 1, 4, 25, 259, 343, 469, 1171, 220, 396, 27], [1, 1, 4, 26, 252, 364, 434, 1206, 199, 403, 26], [1, 1, 4, 27, 245, 385, 399, 1241, 178, 410, 25], [1, 1, 4, 28, 238, 406, 364, 1276, 157, 417, 24], [1, 1, 4, 29, 231, 427, 329, 1311, 136, 424, 23], [1, 1, 4, 30, 224, 448, 294, 1346, 115, 431, 22], [1, 1, 4, 31, 217, 469, 259, 1381, 94, 438, 21], [1, 1, 4, 32, 210, 490, 224, 1416, 73, 445, 20], [1, 1, 4, 33, 203, 511, 189, 1451, 52, 452, 19], [1, 1, 4, 34, 196, 532, 154, 1486, 31, 459, 18], [1, 1, 4, 35, 189, 553, 119, 1521, 10, 466, 17], [1, 1, 5, 4, 378, 14, 994, 660, 521, 297, 41], [1, 1, 5, 5, 371, 35, 959, 695, 500, 304, 40], [1, 1, 5, 6, 364, 56, 924, 730, 479, 311, 39], [1, 1, 5, 7, 357, 77, 889, 765, 458, 318, 38], [1, 1, 5, 8, 350, 98, 854, 800, 437, 325, 37], [1, 1, 5, 9, 343, 119, 819, 835, 416, 332, 36], [1, 1, 5, 10, 336, 140, 784, 870, 395, 339, 35], [1, 1, 5, 11, 329, 161, 749, 905, 374, 346, 34], [1, 1, 5, 12, 322, 182, 714, 940, 353, 353, 33], [1, 1, 5, 13, 315, 203, 679, 975, 332, 360, 32], [1, 1, 5, 14, 308, 224, 644, 1010, 311, 367, 31], [1, 1, 5, 15, 301, 245, 609, 1045, 290, 374, 30], [1, 1, 5, 16, 294, 266, 574, 1080, 269, 381, 29], [1, 1, 5, 17, 287, 287, 539, 1115, 248, 388, 28], [1, 1, 5, 18, 280, 308, 504, 1150, 227, 395, 27], [1, 1, 5, 19, 273, 329, 469, 1185, 206, 402, 26], [1, 1, 5, 20, 266, 350, 434, 1220, 185, 409, 25], [1, 1, 5, 21, 259, 371, 399, 1255, 164, 416, 24], [1, 1, 5, 22, 252, 392, 364, 1290, 143, 423, 23], [1, 1, 5, 23, 245, 413, 329, 1325, 122, 430, 22], [1, 1, 5, 24, 238, 434, 294, 1360, 101, 437, 21], [1, 1, 5, 25, 231, 455, 259, 1395, 80, 444, 20], [1, 1, 5, 26, 224, 476, 224, 1430, 59, 451, 19], [1, 1, 5, 27, 217, 497, 189, 1465, 38, 458, 18], [1, 1, 5, 28, 210, 518, 154, 1500, 17, 465, 17], [1, 1, 6, 0, 378, 42, 924, 744, 465, 317, 38], [1, 1, 6, 1, 371, 63, 889, 779, 444, 324, 37], [1, 1, 6, 2, 364, 84, 854, 814, 423, 331, 36], [1, 1, 6, 3, 357, 105, 819, 849, 402, 338, 35], [1, 1, 6, 4, 350, 126, 784, 884, 381, 345, 34], [1, 1, 6, 5, 343, 147, 749, 919, 360, 352, 33], [1, 1, 6, 6, 336, 168, 714, 954, 339, 359, 32], [1, 1, 6, 7, 329, 189, 679, 989, 318, 366, 31], [1, 1, 6, 8, 322, 210, 644, 1024, 297, 373, 30], [1, 1, 6, 9, 315, 231, 609, 1059, 276, 380, 29], [1, 1, 6, 10, 308, 252, 574, 1094, 255, 387, 28], [1, 1, 6, 11, 301, 273, 539, 1129, 234, 394, 27], [1, 1, 6, 12, 294, 294, 504, 1164, 213, 401, 26], [1, 1, 6, 13, 287, 315, 469, 1199, 192, 408, 25], [1, 1, 6, 14, 280, 336, 434, 1234, 171, 415, 24], [1, 1, 6, 15, 273, 357, 399, 1269, 150, 422, 23], [1, 1, 6, 16, 266, 378, 364, 1304, 129, 429, 22], [1, 1, 6, 17, 259, 399, 329, 1339, 108, 436, 21], [1, 1, 6, 18, 252, 420, 294, 1374, 87, 443, 20], [1, 1, 6, 19, 245, 441, 259, 1409, 66, 450, 19], [1, 1, 6, 20, 238, 462, 224, 1444, 45, 457, 18], [1, 1, 6, 21, 231, 483, 189, 1479, 24, 464, 17], [1, 1, 6, 22, 224, 504, 154, 1514, 3, 471, 16], [1, 1, 7, 0, 350, 154, 714, 968, 325, 365, 31], [1, 1, 7, 1, 343, 175, 679, 1003, 304, 372, 30], [1, 1, 7, 2, 336, 196, 644, 1038, 283, 379, 29], [1, 1, 7, 3, 329, 217, 609, 1073, 262, 386, 28], [1, 1, 7, 4, 322, 238, 574, 1108, 241, 393, 27], [1, 1, 7, 5, 315, 259, 539, 1143, 220, 400, 26], [1, 1, 7, 6, 308, 280, 504, 1178, 199, 407, 25], [1, 1, 7, 7, 301, 301, 469, 1213, 178, 414, 24], [1, 1, 7, 8, 294, 322, 434, 1248, 157, 421, 23], [1, 1, 7, 9, 287, 343, 399, 1283, 136, 428, 22], [1, 1, 7, 10, 280, 364, 364, 1318, 115, 435, 21], [1, 1, 7, 11, 273, 385, 329, 1353, 94, 442, 20], [1, 1, 7, 12, 266, 406, 294, 1388, 73, 449, 19], [1, 1, 7, 13, 259, 427, 259, 1423, 52, 456, 18], [1, 1, 7, 14, 252, 448, 224, 1458, 31, 463, 17], [1, 1, 7, 15, 245, 469, 189, 1493, 10, 470, 16], [1, 1, 8, 0, 322, 266, 504, 1192, 185, 413, 24], [1, 1, 8, 1, 315, 287, 469, 1227, 164, 420, 23], [1, 1, 8, 2, 308, 308, 434, 1262, 143, 427, 22], [1, 1, 8, 3, 301, 329, 399, 1297, 122, 434, 21], [1, 1, 8, 4, 294, 350, 364, 1332, 101, 441, 20], [1, 1, 8, 5, 287, 371, 329, 1367, 80, 448, 19], [1, 1, 8, 6, 280, 392, 294, 1402, 59, 455, 18], [1, 1, 8, 7, 273, 413, 259, 1437, 38, 462, 17], [1, 1, 8, 8, 266, 434, 224, 1472, 17, 469, 16], [1, 1, 9, 0, 294, 378, 294, 1416, 45, 461, 17], [1, 1, 9, 1, 287, 399, 259, 1451, 24, 468, 16], [1, 1, 9, 2, 280, 420, 224, 1486, 3, 475, 15], [1, 2, 0, 12, 378, 0, 1008, 660, 513, 302, 40], [1, 2, 0, 13, 371, 21, 973, 695, 492, 309, 39], [1, 2, 0, 14, 364, 42, 938, 730, 471, 316, 38], [1, 2, 0, 15, 357, 63, 903, 765, 450, 323, 37], [1, 2, 0, 16, 350, 84, 868, 800, 429, 330, 36], [1, 2, 0, 17, 343, 105, 833, 835, 408, 337, 35], [1, 2, 0, 18, 336, 126, 798, 870, 387, 344, 34], [1, 2, 0, 19, 329, 147, 763, 905, 366, 351, 33], [1, 2, 0, 20, 322, 168, 728, 940, 345, 358, 32], [1, 2, 0, 21, 315, 189, 693, 975, 324, 365, 31], [1, 2, 0, 22, 308, 210, 658, 1010, 303, 372, 30], [1, 2, 0, 23, 301, 231, 623, 1045, 282, 379, 29], [1, 2, 0, 24, 294, 252, 588, 1080, 261, 386, 28], [1, 2, 0, 25, 287, 273, 553, 1115, 240, 393, 27], [1, 2, 0, 26, 280, 294, 518, 1150, 219, 400, 26], [1, 2, 0, 27, 273, 315, 483, 1185, 198, 407, 25], [1, 2, 0, 28, 266, 336, 448, 1220, 177, 414, 24], [1, 2, 0, 29, 259, 357, 413, 1255, 156, 421, 23], [1, 2, 0, 30, 252, 378, 378, 1290, 135, 428, 22], [1, 2, 0, 31, 245, 399, 343, 1325, 114, 435, 21], [1, 2, 0, 32, 238, 420, 308, 1360, 93, 442, 20], [1, 2, 0, 33, 231, 441, 273, 1395, 72, 449, 19], [1, 2, 0, 34, 224, 462, 238, 1430, 51, 456, 18], [1, 2, 0, 35, 217, 483, 203, 1465, 30, 463, 17], [1, 2, 0, 36, 210, 504, 168, 1500, 9, 470, 16], [1, 2, 1, 7, 385, 7, 973, 709, 478, 315, 38], [1, 2, 1, 8, 378, 28, 938, 744, 457, 322, 37], [1, 2, 1, 9, 371, 49, 903, 779, 436, 329, 36], [1, 2, 1, 10, 364, 70, 868, 814, 415, 336, 35], [1, 2, 1, 11, 357, 91, 833, 849, 394, 343, 34], [1, 2, 1, 12, 350, 112, 798, 884, 373, 350, 33], [1, 2, 1, 13, 343, 133, 763, 919, 352, 357, 32], [1, 2, 1, 14, 336, 154, 728, 954, 331, 364, 31], [1, 2, 1, 15, 329, 175, 693, 989, 310, 371, 30], [1, 2, 1, 16, 322, 196, 658, 1024, 289, 378, 29], [1, 2, 1, 17, 315, 217, 623, 1059, 268, 385, 28], [1, 2, 1, 18, 308, 238, 588, 1094, 247, 392, 27], [1, 2, 1, 19, 301, 259, 553, 1129, 226, 399, 26], [1, 2, 1, 20, 294, 280, 518, 1164, 205, 406, 25], [1, 2, 1, 21, 287, 301, 483, 1199, 184, 413, 24], [1, 2, 1, 22, 280, 322, 448, 1234, 163, 420, 23], [1, 2, 1, 23, 273, 343, 413, 1269, 142, 427, 22], [1, 2, 1, 24, 266, 364, 378, 1304, 121, 434, 21], [1, 2, 1, 25, 259, 385, 343, 1339, 100, 441, 20], [1, 2, 1, 26, 252, 406, 308, 1374, 79, 448, 19], [1, 2, 1, 27, 245, 427, 273, 1409, 58, 455, 18], [1, 2, 1, 28, 238, 448, 238, 1444, 37, 462, 17], [1, 2, 1, 29, 231, 469, 203, 1479, 16, 469, 16], [1, 2, 2, 2, 392, 14, 938, 758, 443, 328, 36], [1, 2, 2, 3, 385, 35, 903, 793, 422, 335, 35], [1, 2, 2, 4, 378, 56, 868, 828, 401, 342, 34], [1, 2, 2, 5, 371, 77, 833, 863, 380, 349, 33], [1, 2, 2, 6, 364, 98, 798, 898, 359, 356, 32], [1, 2, 2, 7, 357, 119, 763, 933, 338, 363, 31], [1, 2, 2, 8, 350, 140, 728, 968, 317, 370, 30], [1, 2, 2, 9, 343, 161, 693, 1003, 296, 377, 29], [1, 2, 2, 10, 336, 182, 658, 1038, 275, 384, 28], [1, 2, 2, 11, 329, 203, 623, 1073, 254, 391, 27], [1, 2, 2, 12, 322, 224, 588, 1108, 233, 398, 26], [1, 2, 2, 13, 315, 245, 553, 1143, 212, 405, 25], [1, 2, 2, 14, 308, 266, 518, 1178, 191, 412, 24], [1, 2, 2, 15, 301, 287, 483, 1213, 170, 419, 23], [1, 2, 2, 16, 294, 308, 448, 1248, 149, 426, 22], [1, 2, 2, 17, 287, 329, 413, 1283, 128, 433, 21], [1, 2, 2, 18, 280, 350, 378, 1318, 107, 440, 20], [1, 2, 2, 19, 273, 371, 343, 1353, 86, 447, 19], [1, 2, 2, 20, 266, 392, 308, 1388, 65, 454, 18], [1, 2, 2, 21, 259, 413, 273, 1423, 44, 461, 17], [1, 2, 2, 22, 252, 434, 238, 1458, 23, 468, 16], [1, 2, 2, 23, 245, 455, 203, 1493, 2, 475, 15], [1, 2, 3, 0, 378, 84, 798, 912, 345, 362, 31], [1, 2, 3, 1, 371, 105, 763, 947, 324, 369, 30], [1, 2, 3, 2, 364, 126, 728, 982, 303, 376, 29], [1, 2, 3, 3, 357, 147, 693, 1017, 282, 383, 28], [1, 2, 3, 4, 350, 168, 658, 1052, 261, 390, 27], [1, 2, 3, 5, 343, 189, 623, 1087, 240, 397, 26], [1, 2, 3, 6, 336, 210, 588, 1122, 219, 404, 25], [1, 2, 3, 7, 329, 231, 553, 1157, 198, 411, 24], [1, 2, 3, 8, 322, 252, 518, 1192, 177, 418, 23], [1, 2, 3, 9, 315, 273, 483, 1227, 156, 425, 22], [1, 2, 3, 10, 308, 294, 448, 1262, 135, 432, 21], [1, 2, 3, 11, 301, 315, 413, 1297, 114, 439, 20], [1, 2, 3, 12, 294, 336, 378, 1332, 93, 446, 19], [1, 2, 3, 13, 287, 357, 343, 1367, 72, 453, 18], [1, 2, 3, 14, 280, 378, 308, 1402, 51, 460, 17], [1, 2, 3, 15, 273, 399, 273, 1437, 30, 467, 16], [1, 2, 3, 16, 266, 420, 238, 1472, 9, 474, 15], [1, 2, 4, 0, 350, 196, 588, 1136, 205, 410, 24], [1, 2, 4, 1, 343, 217, 553, 1171, 184, 417, 23], [1, 2, 4, 2, 336, 238, 518, 1206, 163, 424, 22], [1, 2, 4, 3, 329, 259, 483, 1241, 142, 431, 21], [1, 2, 4, 4, 322, 280, 448, 1276, 121, 438, 20], [1, 2, 4, 5, 315, 301, 413, 1311, 100, 445, 19], [1, 2, 4, 6, 308, 322, 378, 1346, 79, 452, 18], [1, 2, 4, 7, 301, 343, 343, 1381, 58, 459, 17], [1, 2, 4, 8, 294, 364, 308, 1416, 37, 466, 16], [1, 2, 4, 9, 287, 385, 273, 1451, 16, 473, 15], [1, 2, 5, 0, 322, 308, 378, 1360, 65, 458, 17], [1, 2, 5, 1, 315, 329, 343, 1395, 44, 465, 16], [1, 2, 5, 2, 308, 350, 308, 1430, 23, 472, 15], [1, 2, 5, 3, 301, 371, 273, 1465, 2, 479, 14], [1, 3, 0, 0, 378, 126, 672, 1080, 225, 407, 24], [1, 3, 0, 1, 371, 147, 637, 1115, 204, 414, 23], [1, 3, 0, 2, 364, 168, 602, 1150, 183, 421, 22], [1, 3, 0, 3, 357, 189, 567, 1185, 162, 428, 21], [1, 3, 0, 4, 350, 210, 532, 1220, 141, 435, 20], [1, 3, 0, 5, 343, 231, 497, 1255, 120, 442, 19], [1, 3, 0, 6, 336, 252, 462, 1290, 99, 449, 18], [1, 3, 0, 7, 329, 273, 427, 1325, 78, 456, 17], [1, 3, 0, 8, 322, 294, 392, 1360, 57, 463, 16], [1, 3, 0, 9, 315, 315, 357, 1395, 36, 470, 15], [1, 3, 0, 10, 308, 336, 322, 1430, 15, 477, 14], [1, 3, 1, 0, 350, 238, 462, 1304, 85, 455, 17], [1, 3, 1, 1, 343, 259, 427, 1339, 64, 462, 16], [1, 3, 1, 2, 336, 280, 392, 1374, 43, 469, 15], [1, 3, 1, 3, 329, 301, 357, 1409, 22, 476, 14], [1, 3, 1, 4, 322, 322, 322, 1444, 1, 483, 13], [2, 0, 0, 0, 420, 0, 840, 960, 270, 400, 24], [2, 0, 0, 1, 413, 21, 805, 995, 249, 407, 23], [2, 0, 0, 2, 406, 42, 770, 1030, 228, 414, 22], [2, 0, 0, 3, 399, 63, 735, 1065, 207, 421, 21], [2, 0, 0, 4, 392, 84, 700, 1100, 186, 428, 20], [2, 0, 0, 5, 385, 105, 665, 1135, 165, 435, 19], [2, 0, 0, 6, 378, 126, 630, 1170, 144, 442, 18], [2, 0, 0, 7, 371, 147, 595, 1205, 123, 449, 17], [2, 0, 0, 8, 364, 168, 560, 1240, 102, 456, 16], [2, 0, 0, 9, 357, 189, 525, 1275, 81, 463, 15], [2, 0, 0, 10, 350, 210, 490, 1310, 60, 470, 14], [2, 0, 0, 11, 343, 231, 455, 1345, 39, 477, 13], [2, 0, 0, 12, 336, 252, 420, 1380, 18, 484, 12], [2, 0, 1, 0, 392, 112, 630, 1184, 130, 448, 17], [2, 0, 1, 1, 385, 133, 595, 1219, 109, 455, 16], [2, 0, 1, 2, 378, 154, 560, 1254, 88, 462, 15], [2, 0, 1, 3, 371, 175, 525, 1289, 67, 469, 14], [2, 0, 1, 4, 364, 196, 490, 1324, 46, 476, 13], [2, 0, 1, 5, 357, 217, 455, 1359, 25, 483, 12], [2, 0, 1, 6, 350, 238, 420, 1394, 4, 490, 11]}
(11, 2916, 6) has 1255 possible DDs: {[1, 0, 0, 0, 156, 294, 42, 1470, 15, 794, 102, 42], [1, 0, 0, 0, 157, 287, 63, 1435, 50, 773, 109, 41], [1, 0, 0, 0, 158, 280, 84, 1400, 85, 752, 116, 40], [1, 0, 0, 0, 159, 273, 105, 1365, 120, 731, 123, 39], [1, 0, 0, 0, 160, 266, 126, 1330, 155, 710, 130, 38], [1, 0, 0, 0, 161, 259, 147, 1295, 190, 689, 137, 37], [1, 0, 0, 0, 162, 252, 168, 1260, 225, 668, 144, 36], [1, 0, 0, 0, 163, 245, 189, 1225, 260, 647, 151, 35], [1, 0, 0, 0, 164, 238, 210, 1190, 295, 626, 158, 34], [1, 0, 0, 0, 165, 231, 231, 1155, 330, 605, 165, 33], [1, 0, 0, 0, 166, 224, 252, 1120, 365, 584, 172, 32], [1, 0, 0, 0, 167, 217, 273, 1085, 400, 563, 179, 31], [1, 0, 0, 0, 168, 210, 294, 1050, 435, 542, 186, 30], [1, 0, 0, 0, 169, 203, 315, 1015, 470, 521, 193, 29], [1, 0, 0, 0, 170, 196, 336, 980, 505, 500, 200, 28], [1, 0, 0, 0, 171, 189, 357, 945, 540, 479, 207, 27], [1, 0, 0, 0, 172, 182, 378, 910, 575, 458, 214, 26], [1, 0, 0, 0, 173, 175, 399, 875, 610, 437, 221, 25], [1, 0, 0, 0, 174, 168, 420, 840, 645, 416, 228, 24], [1, 0, 0, 0, 175, 161, 441, 805, 680, 395, 235, 23], [1, 0, 0, 0, 176, 154, 462, 770, 715, 374, 242, 22], [1, 0, 0, 0, 177, 147, 483, 735, 750, 353, 249, 21], [1, 0, 0, 0, 178, 140, 504, 700, 785, 332, 256, 20], [1, 0, 0, 0, 179, 133, 525, 665, 820, 311, 263, 19], [1, 0, 0, 0, 180, 126, 546, 630, 855, 290, 270, 18], [1, 0, 0, 0, 181, 119, 567, 595, 890, 269, 277, 17], [1, 0, 0, 0, 182, 112, 588, 560, 925, 248, 284, 16], [1, 0, 0, 0, 183, 105, 609, 525, 960, 227, 291, 15], [1, 0, 0, 0, 184, 98, 630, 490, 995, 206, 298, 14], [1, 0, 0, 0, 185, 91, 651, 455, 1030, 185, 305, 13], [1, 0, 0, 0, 186, 84, 672, 420, 1065, 164, 312, 12], [1, 0, 0, 0, 187, 77, 693, 385, 1100, 143, 319, 11], [1, 0, 0, 0, 188, 70, 714, 350, 1135, 122, 326, 10], [1, 0, 0, 0, 189, 63, 735, 315, 1170, 101, 333, 9], [1, 0, 0, 0, 190, 56, 756, 280, 1205, 80, 340, 8], [1, 0, 0, 0, 191, 49, 777, 245, 1240, 59, 347, 7], [1, 0, 0, 0, 192, 42, 798, 210, 1275, 38, 354, 6], [1, 0, 0, 0, 193, 35, 819, 175, 1310, 17, 361, 5], [1, 0, 0, 1, 150, 308, 28, 1470, 29, 780, 108, 41], [1, 0, 0, 1, 151, 301, 49, 1435, 64, 759, 115, 40], [1, 0, 0, 1, 152, 294, 70, 1400, 99, 738, 122, 39], [1, 0, 0, 1, 153, 287, 91, 1365, 134, 717, 129, 38], [1, 0, 0, 1, 154, 280, 112, 1330, 169, 696, 136, 37], [1, 0, 0, 1, 155, 273, 133, 1295, 204, 675, 143, 36], [1, 0, 0, 1, 156, 266, 154, 1260, 239, 654, 150, 35], [1, 0, 0, 1, 157, 259, 175, 1225, 274, 633, 157, 34], [1, 0, 0, 1, 158, 252, 196, 1190, 309, 612, 164, 33], [1, 0, 0, 1, 159, 245, 217, 1155, 344, 591, 171, 32], [1, 0, 0, 1, 160, 238, 238, 1120, 379, 570, 178, 31], [1, 0, 0, 1, 161, 231, 259, 1085, 414, 549, 185, 30], [1, 0, 0, 1, 162, 224, 280, 1050, 449, 528, 192, 29], [1, 0, 0, 1, 163, 217, 301, 1015, 484, 507, 199, 28], [1, 0, 0, 1, 164, 210, 322, 980, 519, 486, 206, 27], [1, 0, 0, 1, 165, 203, 343, 945, 554, 465, 213, 26], [1, 0, 0, 1, 166, 196, 364, 910, 589, 444, 220, 25], [1, 0, 0, 1, 167, 189, 385, 875, 624, 423, 227, 24], [1, 0, 0, 1, 168, 182, 406, 840, 659, 402, 234, 23], [1, 0, 0, 1, 169, 175, 427, 805, 694, 381, 241, 22], [1, 0, 0, 1, 170, 168, 448, 770, 729, 360, 248, 21], [1, 0, 0, 1, 171, 161, 469, 735, 764, 339, 255, 20], [1, 0, 0, 1, 172, 154, 490, 700, 799, 318, 262, 19], [1, 0, 0, 1, 173, 147, 511, 665, 834, 297, 269, 18], [1, 0, 0, 1, 174, 140, 532, 630, 869, 276, 276, 17], [1, 0, 0, 1, 175, 133, 553, 595, 904, 255, 283, 16], [1, 0, 0, 1, 176, 126, 574, 560, 939, 234, 290, 15], [1, 0, 0, 1, 177, 119, 595, 525, 974, 213, 297, 14], [1, 0, 0, 1, 178, 112, 616, 490, 1009, 192, 304, 13], [1, 0, 0, 1, 179, 105, 637, 455, 1044, 171, 311, 12], [1, 0, 0, 1, 180, 98, 658, 420, 1079, 150, 318, 11], [1, 0, 0, 1, 181, 91, 679, 385, 1114, 129, 325, 10], [1, 0, 0, 1, 182, 84, 700, 350, 1149, 108, 332, 9], [1, 0, 0, 1, 183, 77, 721, 315, 1184, 87, 339, 8], [1, 0, 0, 1, 184, 70, 742, 280, 1219, 66, 346, 7], [1, 0, 0, 1, 185, 63, 763, 245, 1254, 45, 353, 6], [1, 0, 0, 1, 186, 56, 784, 210, 1289, 24, 360, 5], [1, 0, 0, 1, 187, 49, 805, 175, 1324, 3, 367, 4], [1, 0, 0, 2, 144, 322, 14, 1470, 43, 766, 114, 40], [1, 0, 0, 2, 145, 315, 35, 1435, 78, 745, 121, 39], [1, 0, 0, 2, 146, 308, 56, 1400, 113, 724, 128, 38], [1, 0, 0, 2, 147, 301, 77, 1365, 148, 703, 135, 37], [1, 0, 0, 2, 148, 294, 98, 1330, 183, 682, 142, 36], [1, 0, 0, 2, 149, 287, 119, 1295, 218, 661, 149, 35], [1, 0, 0, 2, 150, 280, 140, 1260, 253, 640, 156, 34], [1, 0, 0, 2, 151, 273, 161, 1225, 288, 619, 163, 33], [1, 0, 0, 2, 152, 266, 182, 1190, 323, 598, 170, 32], [1, 0, 0, 2, 153, 259, 203, 1155, 358, 577, 177, 31], [1, 0, 0, 2, 154, 252, 224, 1120, 393, 556, 184, 30], [1, 0, 0, 2, 155, 245, 245, 1085, 428, 535, 191, 29], [1, 0, 0, 2, 156, 238, 266, 1050, 463, 514, 198, 28], [1, 0, 0, 2, 157, 231, 287, 1015, 498, 493, 205, 27], [1, 0, 0, 2, 158, 224, 308, 980, 533, 472, 212, 26], [1, 0, 0, 2, 159, 217, 329, 945, 568, 451, 219, 25], [1, 0, 0, 2, 160, 210, 350, 910, 603, 430, 226, 24], [1, 0, 0, 2, 161, 203, 371, 875, 638, 409, 233, 23], [1, 0, 0, 2, 162, 196, 392, 840, 673, 388, 240, 22], [1, 0, 0, 2, 163, 189, 413, 805, 708, 367, 247, 21], [1, 0, 0, 2, 164, 182, 434, 770, 743, 346, 254, 20], [1, 0, 0, 2, 165, 175, 455, 735, 778, 325, 261, 19], [1, 0, 0, 2, 166, 168, 476, 700, 813, 304, 268, 18], [1, 0, 0, 2, 167, 161, 497, 665, 848, 283, 275, 17], [1, 0, 0, 2, 168, 154, 518, 630, 883, 262, 282, 16], [1, 0, 0, 2, 169, 147, 539, 595, 918, 241, 289, 15], [1, 0, 0, 2, 170, 140, 560, 560, 953, 220, 296, 14], [1, 0, 0, 2, 171, 133, 581, 525, 988, 199, 303, 13], [1, 0, 0, 2, 172, 126, 602, 490, 1023, 178, 310, 12], [1, 0, 0, 2, 173, 119, 623, 455, 1058, 157, 317, 11], [1, 0, 0, 2, 174, 112, 644, 420, 1093, 136, 324, 10], [1, 0, 0, 2, 175, 105, 665, 385, 1128, 115, 331, 9], [1, 0, 0, 2, 176, 98, 686, 350, 1163, 94, 338, 8], [1, 0, 0, 2, 177, 91, 707, 315, 1198, 73, 345, 7], [1, 0, 0, 2, 178, 84, 728, 280, 1233, 52, 352, 6], [1, 0, 0, 2, 179, 77, 749, 245, 1268, 31, 359, 5], [1, 0, 0, 2, 180, 70, 770, 210, 1303, 10, 366, 4], [1, 0, 0, 3, 138, 336, 0, 1470, 57, 752, 120, 39], [1, 0, 0, 3, 139, 329, 21, 1435, 92, 731, 127, 38], [1, 0, 0, 3, 140, 322, 42, 1400, 127, 710, 134, 37], [1, 0, 0, 3, 141, 315, 63, 1365, 162, 689, 141, 36], [1, 0, 0, 3, 142, 308, 84, 1330, 197, 668, 148, 35], [1, 0, 0, 3, 143, 301, 105, 1295, 232, 647, 155, 34], [1, 0, 0, 3, 144, 294, 126, 1260, 267, 626, 162, 33], [1, 0, 0, 3, 145, 287, 147, 1225, 302, 605, 169, 32], [1, 0, 0, 3, 146, 280, 168, 1190, 337, 584, 176, 31], [1, 0, 0, 3, 147, 273, 189, 1155, 372, 563, 183, 30], [1, 0, 0, 3, 148, 266, 210, 1120, 407, 542, 190, 29], [1, 0, 0, 3, 149, 259, 231, 1085, 442, 521, 197, 28], [1, 0, 0, 3, 150, 252, 252, 1050, 477, 500, 204, 27], [1, 0, 0, 3, 151, 245, 273, 1015, 512, 479, 211, 26], [1, 0, 0, 3, 152, 238, 294, 980, 547, 458, 218, 25], [1, 0, 0, 3, 153, 231, 315, 945, 582, 437, 225, 24], [1, 0, 0, 3, 154, 224, 336, 910, 617, 416, 232, 23], [1, 0, 0, 3, 155, 217, 357, 875, 652, 395, 239, 22], [1, 0, 0, 3, 156, 210, 378, 840, 687, 374, 246, 21], [1, 0, 0, 3, 157, 203, 399, 805, 722, 353, 253, 20], [1, 0, 0, 3, 158, 196, 420, 770, 757, 332, 260, 19], [1, 0, 0, 3, 159, 189, 441, 735, 792, 311, 267, 18], [1, 0, 0, 3, 160, 182, 462, 700, 827, 290, 274, 17], [1, 0, 0, 3, 161, 175, 483, 665, 862, 269, 281, 16], [1, 0, 0, 3, 162, 168, 504, 630, 897, 248, 288, 15], [1, 0, 0, 3, 163, 161, 525, 595, 932, 227, 295, 14], [1, 0, 0, 3, 164, 154, 546, 560, 967, 206, 302, 13], [1, 0, 0, 3, 165, 147, 567, 525, 1002, 185, 309, 12], [1, 0, 0, 3, 166, 140, 588, 490, 1037, 164, 316, 11], [1, 0, 0, 3, 167, 133, 609, 455, 1072, 143, 323, 10], [1, 0, 0, 3, 168, 126, 630, 420, 1107, 122, 330, 9], [1, 0, 0, 3, 169, 119, 651, 385, 1142, 101, 337, 8], [1, 0, 0, 3, 170, 112, 672, 350, 1177, 80, 344, 7], [1, 0, 0, 3, 171, 105, 693, 315, 1212, 59, 351, 6], [1, 0, 0, 3, 172, 98, 714, 280, 1247, 38, 358, 5], [1, 0, 0, 3, 173, 91, 735, 245, 1282, 17, 365, 4], [1, 0, 0, 4, 133, 343, 7, 1435, 106, 717, 133, 37], [1, 0, 0, 4, 134, 336, 28, 1400, 141, 696, 140, 36], [1, 0, 0, 4, 135, 329, 49, 1365, 176, 675, 147, 35], [1, 0, 0, 4, 136, 322, 70, 1330, 211, 654, 154, 34], [1, 0, 0, 4, 137, 315, 91, 1295, 246, 633, 161, 33], [1, 0, 0, 4, 138, 308, 112, 1260, 281, 612, 168, 32], [1, 0, 0, 4, 139, 301, 133, 1225, 316, 591, 175, 31], [1, 0, 0, 4, 140, 294, 154, 1190, 351, 570, 182, 30], [1, 0, 0, 4, 141, 287, 175, 1155, 386, 549, 189, 29], [1, 0, 0, 4, 142, 280, 196, 1120, 421, 528, 196, 28], [1, 0, 0, 4, 143, 273, 217, 1085, 456, 507, 203, 27], [1, 0, 0, 4, 144, 266, 238, 1050, 491, 486, 210, 26], [1, 0, 0, 4, 145, 259, 259, 1015, 526, 465, 217, 25], [1, 0, 0, 4, 146, 252, 280, 980, 561, 444, 224, 24], [1, 0, 0, 4, 147, 245, 301, 945, 596, 423, 231, 23], [1, 0, 0, 4, 148, 238, 322, 910, 631, 402, 238, 22], [1, 0, 0, 4, 149, 231, 343, 875, 666, 381, 245, 21], [1, 0, 0, 4, 150, 224, 364, 840, 701, 360, 252, 20], [1, 0, 0, 4, 151, 217, 385, 805, 736, 339, 259, 19], [1, 0, 0, 4, 152, 210, 406, 770, 771, 318, 266, 18], [1, 0, 0, 4, 153, 203, 427, 735, 806, 297, 273, 17], [1, 0, 0, 4, 154, 196, 448, 700, 841, 276, 280, 16], [1, 0, 0, 4, 155, 189, 469, 665, 876, 255, 287, 15], [1, 0, 0, 4, 156, 182, 490, 630, 911, 234, 294, 14], [1, 0, 0, 4, 157, 175, 511, 595, 946, 213, 301, 13], [1, 0, 0, 4, 158, 168, 532, 560, 981, 192, 308, 12], [1, 0, 0, 4, 159, 161, 553, 525, 1016, 171, 315, 11], [1, 0, 0, 4, 160, 154, 574, 490, 1051, 150, 322, 10], [1, 0, 0, 4, 161, 147, 595, 455, 1086, 129, 329, 9], [1, 0, 0, 4, 162, 140, 616, 420, 1121, 108, 336, 8], [1, 0, 0, 4, 163, 133, 637, 385, 1156, 87, 343, 7], [1, 0, 0, 4, 164, 126, 658, 350, 1191, 66, 350, 6], [1, 0, 0, 4, 165, 119, 679, 315, 1226, 45, 357, 5], [1, 0, 0, 4, 166, 112, 700, 280, 1261, 24, 364, 4], [1, 0, 0, 4, 167, 105, 721, 245, 1296, 3, 371, 3], [1, 0, 0, 5, 128, 350, 14, 1400, 155, 682, 146, 35], [1, 0, 0, 5, 129, 343, 35, 1365, 190, 661, 153, 34], [1, 0, 0, 5, 130, 336, 56, 1330, 225, 640, 160, 33], [1, 0, 0, 5, 131, 329, 77, 1295, 260, 619, 167, 32], [1, 0, 0, 5, 132, 322, 98, 1260, 295, 598, 174, 31], [1, 0, 0, 5, 133, 315, 119, 1225, 330, 577, 181, 30], [1, 0, 0, 5, 134, 308, 140, 1190, 365, 556, 188, 29], [1, 0, 0, 5, 135, 301, 161, 1155, 400, 535, 195, 28], [1, 0, 0, 5, 136, 294, 182, 1120, 435, 514, 202, 27], [1, 0, 0, 5, 137, 287, 203, 1085, 470, 493, 209, 26], [1, 0, 0, 5, 138, 280, 224, 1050, 505, 472, 216, 25], [1, 0, 0, 5, 139, 273, 245, 1015, 540, 451, 223, 24], [1, 0, 0, 5, 140, 266, 266, 980, 575, 430, 230, 23], [1, 0, 0, 5, 141, 259, 287, 945, 610, 409, 237, 22], [1, 0, 0, 5, 142, 252, 308, 910, 645, 388, 244, 21], [1, 0, 0, 5, 143, 245, 329, 875, 680, 367, 251, 20], [1, 0, 0, 5, 144, 238, 350, 840, 715, 346, 258, 19], [1, 0, 0, 5, 145, 231, 371, 805, 750, 325, 265, 18], [1, 0, 0, 5, 146, 224, 392, 770, 785, 304, 272, 17], [1, 0, 0, 5, 147, 217, 413, 735, 820, 283, 279, 16], [1, 0, 0, 5, 148, 210, 434, 700, 855, 262, 286, 15], [1, 0, 0, 5, 149, 203, 455, 665, 890, 241, 293, 14], [1, 0, 0, 5, 150, 196, 476, 630, 925, 220, 300, 13], [1, 0, 0, 5, 151, 189, 497, 595, 960, 199, 307, 12], [1, 0, 0, 5, 152, 182, 518, 560, 995, 178, 314, 11], [1, 0, 0, 5, 153, 175, 539, 525, 1030, 157, 321, 10], [1, 0, 0, 5, 154, 168, 560, 490, 1065, 136, 328, 9], [1, 0, 0, 5, 155, 161, 581, 455, 1100, 115, 335, 8], [1, 0, 0, 5, 156, 154, 602, 420, 1135, 94, 342, 7], [1, 0, 0, 5, 157, 147, 623, 385, 1170, 73, 349, 6], [1, 0, 0, 5, 158, 140, 644, 350, 1205, 52, 356, 5], [1, 0, 0, 5, 159, 133, 665, 315, 1240, 31, 363, 4], [1, 0, 0, 5, 160, 126, 686, 280, 1275, 10, 370, 3], [1, 0, 0, 6, 122, 364, 0, 1400, 169, 668, 152, 34], [1, 0, 0, 6, 123, 357, 21, 1365, 204, 647, 159, 33], [1, 0, 0, 6, 124, 350, 42, 1330, 239, 626, 166, 32], [1, 0, 0, 6, 125, 343, 63, 1295, 274, 605, 173, 31], [1, 0, 0, 6, 126, 336, 84, 1260, 309, 584, 180, 30], [1, 0, 0, 6, 127, 329, 105, 1225, 344, 563, 187, 29], [1, 0, 0, 6, 128, 322, 126, 1190, 379, 542, 194, 28], [1, 0, 0, 6, 129, 315, 147, 1155, 414, 521, 201, 27], [1, 0, 0, 6, 130, 308, 168, 1120, 449, 500, 208, 26], [1, 0, 0, 6, 131, 301, 189, 1085, 484, 479, 215, 25], [1, 0, 0, 6, 132, 294, 210, 1050, 519, 458, 222, 24], [1, 0, 0, 6, 133, 287, 231, 1015, 554, 437, 229, 23], [1, 0, 0, 6, 134, 280, 252, 980, 589, 416, 236, 22], [1, 0, 0, 6, 135, 273, 273, 945, 624, 395, 243, 21], [1, 0, 0, 6, 136, 266, 294, 910, 659, 374, 250, 20], [1, 0, 0, 6, 137, 259, 315, 875, 694, 353, 257, 19], [1, 0, 0, 6, 138, 252, 336, 840, 729, 332, 264, 18], [1, 0, 0, 6, 139, 245, 357, 805, 764, 311, 271, 17], [1, 0, 0, 6, 140, 238, 378, 770, 799, 290, 278, 16], [1, 0, 0, 6, 141, 231, 399, 735, 834, 269, 285, 15], [1, 0, 0, 6, 142, 224, 420, 700, 869, 248, 292, 14], [1, 0, 0, 6, 143, 217, 441, 665, 904, 227, 299, 13], [1, 0, 0, 6, 144, 210, 462, 630, 939, 206, 306, 12], [1, 0, 0, 6, 145, 203, 483, 595, 974, 185, 313, 11], [1, 0, 0, 6, 146, 196, 504, 560, 1009, 164, 320, 10], [1, 0, 0, 6, 147, 189, 525, 525, 1044, 143, 327, 9], [1, 0, 0, 6, 148, 182, 546, 490, 1079, 122, 334, 8], [1, 0, 0, 6, 149, 175, 567, 455, 1114, 101, 341, 7], [1, 0, 0, 6, 150, 168, 588, 420, 1149, 80, 348, 6], [1, 0, 0, 6, 151, 161, 609, 385, 1184, 59, 355, 5], [1, 0, 0, 6, 152, 154, 630, 350, 1219, 38, 362, 4], [1, 0, 0, 6, 153, 147, 651, 315, 1254, 17, 369, 3], [1, 0, 0, 7, 117, 371, 7, 1365, 218, 633, 165, 32], [1, 0, 0, 7, 118, 364, 28, 1330, 253, 612, 172, 31], [1, 0, 0, 7, 119, 357, 49, 1295, 288, 591, 179, 30], [1, 0, 0, 7, 120, 350, 70, 1260, 323, 570, 186, 29], [1, 0, 0, 7, 121, 343, 91, 1225, 358, 549, 193, 28], [1, 0, 0, 7, 122, 336, 112, 1190, 393, 528, 200, 27], [1, 0, 0, 7, 123, 329, 133, 1155, 428, 507, 207, 26], [1, 0, 0, 7, 124, 322, 154, 1120, 463, 486, 214, 25], [1, 0, 0, 7, 125, 315, 175, 1085, 498, 465, 221, 24], [1, 0, 0, 7, 126, 308, 196, 1050, 533, 444, 228, 23], [1, 0, 0, 7, 127, 301, 217, 1015, 568, 423, 235, 22], [1, 0, 0, 7, 128, 294, 238, 980, 603, 402, 242, 21], [1, 0, 0, 7, 129, 287, 259, 945, 638, 381, 249, 20], [1, 0, 0, 7, 130, 280, 280, 910, 673, 360, 256, 19], [1, 0, 0, 7, 131, 273, 301, 875, 708, 339, 263, 18], [1, 0, 0, 7, 132, 266, 322, 840, 743, 318, 270, 17], [1, 0, 0, 7, 133, 259, 343, 805, 778, 297, 277, 16], [1, 0, 0, 7, 134, 252, 364, 770, 813, 276, 284, 15], [1, 0, 0, 7, 135, 245, 385, 735, 848, 255, 291, 14], [1, 0, 0, 7, 136, 238, 406, 700, 883, 234, 298, 13], [1, 0, 0, 7, 137, 231, 427, 665, 918, 213, 305, 12], [1, 0, 0, 7, 138, 224, 448, 630, 953, 192, 312, 11], [1, 0, 0, 7, 139, 217, 469, 595, 988, 171, 319, 10], [1, 0, 0, 7, 140, 210, 490, 560, 1023, 150, 326, 9], [1, 0, 0, 7, 141, 203, 511, 525, 1058, 129, 333, 8], [1, 0, 0, 7, 142, 196, 532, 490, 1093, 108, 340, 7], [1, 0, 0, 7, 143, 189, 553, 455, 1128, 87, 347, 6], [1, 0, 0, 7, 144, 182, 574, 420, 1163, 66, 354, 5], [1, 0, 0, 7, 145, 175, 595, 385, 1198, 45, 361, 4], [1, 0, 0, 7, 146, 168, 616, 350, 1233, 24, 368, 3], [1, 0, 0, 7, 147, 161, 637, 315, 1268, 3, 375, 2], [1, 0, 0, 8, 112, 378, 14, 1330, 267, 598, 178, 30], [1, 0, 0, 8, 113, 371, 35, 1295, 302, 577, 185, 29], [1, 0, 0, 8, 114, 364, 56, 1260, 337, 556, 192, 28], [1, 0, 0, 8, 115, 357, 77, 1225, 372, 535, 199, 27], [1, 0, 0, 8, 116, 350, 98, 1190, 407, 514, 206, 26], [1, 0, 0, 8, 117, 343, 119, 1155, 442, 493, 213, 25], [1, 0, 0, 8, 118, 336, 140, 1120, 477, 472, 220, 24], [1, 0, 0, 8, 119, 329, 161, 1085, 512, 451, 227, 23], [1, 0, 0, 8, 120, 322, 182, 1050, 547, 430, 234, 22], [1, 0, 0, 8, 121, 315, 203, 1015, 582, 409, 241, 21], [1, 0, 0, 8, 122, 308, 224, 980, 617, 388, 248, 20], [1, 0, 0, 8, 123, 301, 245, 945, 652, 367, 255, 19], [1, 0, 0, 8, 124, 294, 266, 910, 687, 346, 262, 18], [1, 0, 0, 8, 125, 287, 287, 875, 722, 325, 269, 17], [1, 0, 0, 8, 126, 280, 308, 840, 757, 304, 276, 16], [1, 0, 0, 8, 127, 273, 329, 805, 792, 283, 283, 15], [1, 0, 0, 8, 128, 266, 350, 770, 827, 262, 290, 14], [1, 0, 0, 8, 129, 259, 371, 735, 862, 241, 297, 13], [1, 0, 0, 8, 130, 252, 392, 700, 897, 220, 304, 12], [1, 0, 0, 8, 131, 245, 413, 665, 932, 199, 311, 11], [1, 0, 0, 8, 132, 238, 434, 630, 967, 178, 318, 10], [1, 0, 0, 8, 133, 231, 455, 595, 1002, 157, 325, 9], [1, 0, 0, 8, 134, 224, 476, 560, 1037, 136, 332, 8], [1, 0, 0, 8, 135, 217, 497, 525, 1072, 115, 339, 7], [1, 0, 0, 8, 136, 210, 518, 490, 1107, 94, 346, 6], [1, 0, 0, 8, 137, 203, 539, 455, 1142, 73, 353, 5], [1, 0, 0, 8, 138, 196, 560, 420, 1177, 52, 360, 4], [1, 0, 0, 8, 139, 189, 581, 385, 1212, 31, 367, 3], [1, 0, 0, 8, 140, 182, 602, 350, 1247, 10, 374, 2], [1, 0, 0, 9, 106, 392, 0, 1330, 281, 584, 184, 29], [1, 0, 0, 9, 107, 385, 21, 1295, 316, 563, 191, 28], [1, 0, 0, 9, 108, 378, 42, 1260, 351, 542, 198, 27], [1, 0, 0, 9, 109, 371, 63, 1225, 386, 521, 205, 26], [1, 0, 0, 9, 110, 364, 84, 1190, 421, 500, 212, 25], [1, 0, 0, 9, 111, 357, 105, 1155, 456, 479, 219, 24], [1, 0, 0, 9, 112, 350, 126, 1120, 491, 458, 226, 23], [1, 0, 0, 9, 113, 343, 147, 1085, 526, 437, 233, 22], [1, 0, 0, 9, 114, 336, 168, 1050, 561, 416, 240, 21], [1, 0, 0, 9, 115, 329, 189, 1015, 596, 395, 247, 20], [1, 0, 0, 9, 116, 322, 210, 980, 631, 374, 254, 19], [1, 0, 0, 9, 117, 315, 231, 945, 666, 353, 261, 18], [1, 0, 0, 9, 118, 308, 252, 910, 701, 332, 268, 17], [1, 0, 0, 9, 119, 301, 273, 875, 736, 311, 275, 16], [1, 0, 0, 9, 120, 294, 294, 840, 771, 290, 282, 15], [1, 0, 0, 9, 121, 287, 315, 805, 806, 269, 289, 14], [1, 0, 0, 9, 122, 280, 336, 770, 841, 248, 296, 13], [1, 0, 0, 9, 123, 273, 357, 735, 876, 227, 303, 12], [1, 0, 0, 9, 124, 266, 378, 700, 911, 206, 310, 11], [1, 0, 0, 9, 125, 259, 399, 665, 946, 185, 317, 10], [1, 0, 0, 9, 126, 252, 420, 630, 981, 164, 324, 9], [1, 0, 0, 9, 127, 245, 441, 595, 1016, 143, 331, 8], [1, 0, 0, 9, 128, 238, 462, 560, 1051, 122, 338, 7], [1, 0, 0, 9, 129, 231, 483, 525, 1086, 101, 345, 6], [1, 0, 0, 9, 130, 224, 504, 490, 1121, 80, 352, 5], [1, 0, 0, 9, 131, 217, 525, 455, 1156, 59, 359, 4], [1, 0, 0, 9, 132, 210, 546, 420, 1191, 38, 366, 3], [1, 0, 0, 9, 133, 203, 567, 385, 1226, 17, 373, 2], [1, 0, 0, 10, 101, 399, 7, 1295, 330, 549, 197, 27], [1, 0, 0, 10, 102, 392, 28, 1260, 365, 528, 204, 26], [1, 0, 0, 10, 103, 385, 49, 1225, 400, 507, 211, 25], [1, 0, 0, 10, 104, 378, 70, 1190, 435, 486, 218, 24], [1, 0, 0, 10, 105, 371, 91, 1155, 470, 465, 225, 23], [1, 0, 0, 10, 106, 364, 112, 1120, 505, 444, 232, 22], [1, 0, 0, 10, 107, 357, 133, 1085, 540, 423, 239, 21], [1, 0, 0, 10, 108, 350, 154, 1050, 575, 402, 246, 20], [1, 0, 0, 10, 109, 343, 175, 1015, 610, 381, 253, 19], [1, 0, 0, 10, 110, 336, 196, 980, 645, 360, 260, 18], [1, 0, 0, 10, 111, 329, 217, 945, 680, 339, 267, 17], [1, 0, 0, 10, 112, 322, 238, 910, 715, 318, 274, 16], [1, 0, 0, 10, 113, 315, 259, 875, 750, 297, 281, 15], [1, 0, 0, 10, 114, 308, 280, 840, 785, 276, 288, 14], [1, 0, 0, 10, 115, 301, 301, 805, 820, 255, 295, 13], [1, 0, 0, 10, 116, 294, 322, 770, 855, 234, 302, 12], [1, 0, 0, 10, 117, 287, 343, 735, 890, 213, 309, 11], [1, 0, 0, 10, 118, 280, 364, 700, 925, 192, 316, 10], [1, 0, 0, 10, 119, 273, 385, 665, 960, 171, 323, 9], [1, 0, 0, 10, 120, 266, 406, 630, 995, 150, 330, 8], [1, 0, 0, 10, 121, 259, 427, 595, 1030, 129, 337, 7], [1, 0, 0, 10, 122, 252, 448, 560, 1065, 108, 344, 6], [1, 0, 0, 10, 123, 245, 469, 525, 1100, 87, 351, 5], [1, 0, 0, 10, 124, 238, 490, 490, 1135, 66, 358, 4], [1, 0, 0, 10, 125, 231, 511, 455, 1170, 45, 365, 3], [1, 0, 0, 10, 126, 224, 532, 420, 1205, 24, 372, 2], [1, 0, 0, 10, 127, 217, 553, 385, 1240, 3, 379, 1], [1, 0, 0, 11, 96, 406, 14, 1260, 379, 514, 210, 25], [1, 0, 0, 11, 97, 399, 35, 1225, 414, 493, 217, 24], [1, 0, 0, 11, 98, 392, 56, 1190, 449, 472, 224, 23], [1, 0, 0, 11, 99, 385, 77, 1155, 484, 451, 231, 22], [1, 0, 0, 11, 100, 378, 98, 1120, 519, 430, 238, 21], [1, 0, 0, 11, 101, 371, 119, 1085, 554, 409, 245, 20], [1, 0, 0, 11, 102, 364, 140, 1050, 589, 388, 252, 19], [1, 0, 0, 11, 103, 357, 161, 1015, 624, 367, 259, 18], [1, 0, 0, 11, 104, 350, 182, 980, 659, 346, 266, 17], [1, 0, 0, 11, 105, 343, 203, 945, 694, 325, 273, 16], [1, 0, 0, 11, 106, 336, 224, 910, 729, 304, 280, 15], [1, 0, 0, 11, 107, 329, 245, 875, 764, 283, 287, 14], [1, 0, 0, 11, 108, 322, 266, 840, 799, 262, 294, 13], [1, 0, 0, 11, 109, 315, 287, 805, 834, 241, 301, 12], [1, 0, 0, 11, 110, 308, 308, 770, 869, 220, 308, 11], [1, 0, 0, 11, 111, 301, 329, 735, 904, 199, 315, 10], [1, 0, 0, 11, 112, 294, 350, 700, 939, 178, 322, 9], [1, 0, 0, 11, 113, 287, 371, 665, 974, 157, 329, 8], [1, 0, 0, 11, 114, 280, 392, 630, 1009, 136, 336, 7], [1, 0, 0, 11, 115, 273, 413, 595, 1044, 115, 343, 6], [1, 0, 0, 11, 116, 266, 434, 560, 1079, 94, 350, 5], [1, 0, 0, 11, 117, 259, 455, 525, 1114, 73, 357, 4], [1, 0, 0, 11, 118, 252, 476, 490, 1149, 52, 364, 3], [1, 0, 0, 11, 119, 245, 497, 455, 1184, 31, 371, 2], [1, 0, 0, 11, 120, 238, 518, 420, 1219, 10, 378, 1], [1, 0, 0, 12, 90, 420, 0, 1260, 393, 500, 216, 24], [1, 0, 0, 12, 91, 413, 21, 1225, 428, 479, 223, 23], [1, 0, 0, 12, 92, 406, 42, 1190, 463, 458, 230, 22], [1, 0, 0, 12, 93, 399, 63, 1155, 498, 437, 237, 21], [1, 0, 0, 12, 94, 392, 84, 1120, 533, 416, 244, 20], [1, 0, 0, 12, 95, 385, 105, 1085, 568, 395, 251, 19], [1, 0, 0, 12, 96, 378, 126, 1050, 603, 374, 258, 18], [1, 0, 0, 12, 97, 371, 147, 1015, 638, 353, 265, 17], [1, 0, 0, 12, 98, 364, 168, 980, 673, 332, 272, 16], [1, 0, 0, 12, 99, 357, 189, 945, 708, 311, 279, 15], [1, 0, 0, 12, 100, 350, 210, 910, 743, 290, 286, 14], [1, 0, 0, 12, 101, 343, 231, 875, 778, 269, 293, 13], [1, 0, 0, 12, 102, 336, 252, 840, 813, 248, 300, 12], [1, 0, 0, 12, 103, 329, 273, 805, 848, 227, 307, 11], [1, 0, 0, 12, 104, 322, 294, 770, 883, 206, 314, 10], [1, 0, 0, 12, 105, 315, 315, 735, 918, 185, 321, 9], [1, 0, 0, 12, 106, 308, 336, 700, 953, 164, 328, 8], [1, 0, 0, 12, 107, 301, 357, 665, 988, 143, 335, 7], [1, 0, 0, 12, 108, 294, 378, 630, 1023, 122, 342, 6], [1, 0, 0, 12, 109, 287, 399, 595, 1058, 101, 349, 5], [1, 0, 0, 12, 110, 280, 420, 560, 1093, 80, 356, 4], [1, 0, 0, 12, 111, 273, 441, 525, 1128, 59, 363, 3], [1, 0, 0, 12, 112, 266, 462, 490, 1163, 38, 370, 2], [1, 0, 0, 12, 113, 259, 483, 455, 1198, 17, 377, 1], [1, 0, 0, 13, 85, 427, 7, 1225, 442, 465, 229, 22], [1, 0, 0, 13, 86, 420, 28, 1190, 477, 444, 236, 21], [1, 0, 0, 13, 87, 413, 49, 1155, 512, 423, 243, 20], [1, 0, 0, 13, 88, 406, 70, 1120, 547, 402, 250, 19], [1, 0, 0, 13, 89, 399, 91, 1085, 582, 381, 257, 18], [1, 0, 0, 13, 90, 392, 112, 1050, 617, 360, 264, 17], [1, 0, 0, 13, 91, 385, 133, 1015, 652, 339, 271, 16], [1, 0, 0, 13, 92, 378, 154, 980, 687, 318, 278, 15], [1, 0, 0, 13, 93, 371, 175, 945, 722, 297, 285, 14], [1, 0, 0, 13, 94, 364, 196, 910, 757, 276, 292, 13], [1, 0, 0, 13, 95, 357, 217, 875, 792, 255, 299, 12], [1, 0, 0, 13, 96, 350, 238, 840, 827, 234, 306, 11], [1, 0, 0, 13, 97, 343, 259, 805, 862, 213, 313, 10], [1, 0, 0, 13, 98, 336, 280, 770, 897, 192, 320, 9], [1, 0, 0, 13, 99, 329, 301, 735, 932, 171, 327, 8], [1, 0, 0, 13, 100, 322, 322, 700, 967, 150, 334, 7], [1, 0, 0, 13, 101, 315, 343, 665, 1002, 129, 341, 6], [1, 0, 0, 13, 102, 308, 364, 630, 1037, 108, 348, 5], [1, 0, 0, 13, 103, 301, 385, 595, 1072, 87, 355, 4], [1, 0, 0, 13, 104, 294, 406, 560, 1107, 66, 362, 3], [1, 0, 0, 13, 105, 287, 427, 525, 1142, 45, 369, 2], [1, 0, 0, 13, 106, 280, 448, 490, 1177, 24, 376, 1], [1, 0, 0, 13, 107, 273, 469, 455, 1212, 3, 383, 0], [1, 0, 0, 14, 80, 434, 14, 1190, 491, 430, 242, 20], [1, 0, 0, 14, 81, 427, 35, 1155, 526, 409, 249, 19], [1, 0, 0, 14, 82, 420, 56, 1120, 561, 388, 256, 18], [1, 0, 0, 14, 83, 413, 77, 1085, 596, 367, 263, 17], [1, 0, 0, 14, 84, 406, 98, 1050, 631, 346, 270, 16], [1, 0, 0, 14, 85, 399, 119, 1015, 666, 325, 277, 15], [1, 0, 0, 14, 86, 392, 140, 980, 701, 304, 284, 14], [1, 0, 0, 14, 87, 385, 161, 945, 736, 283, 291, 13], [1, 0, 0, 14, 88, 378, 182, 910, 771, 262, 298, 12], [1, 0, 0, 14, 89, 371, 203, 875, 806, 241, 305, 11], [1, 0, 0, 14, 90, 364, 224, 840, 841, 220, 312, 10], [1, 0, 0, 14, 91, 357, 245, 805, 876, 199, 319, 9], [1, 0, 0, 14, 92, 350, 266, 770, 911, 178, 326, 8], [1, 0, 0, 14, 93, 343, 287, 735, 946, 157, 333, 7], [1, 0, 0, 14, 94, 336, 308, 700, 981, 136, 340, 6], [1, 0, 0, 14, 95, 329, 329, 665, 1016, 115, 347, 5], [1, 0, 0, 14, 96, 322, 350, 630, 1051, 94, 354, 4], [1, 0, 0, 14, 97, 315, 371, 595, 1086, 73, 361, 3], [1, 0, 0, 14, 98, 308, 392, 560, 1121, 52, 368, 2], [1, 0, 0, 14, 99, 301, 413, 525, 1156, 31, 375, 1], [1, 0, 0, 14, 100, 294, 434, 490, 1191, 10, 382, 0], [1, 0, 0, 15, 74, 448, 0, 1190, 505, 416, 248, 19], [1, 0, 0, 15, 75, 441, 21, 1155, 540, 395, 255, 18], [1, 0, 0, 15, 76, 434, 42, 1120, 575, 374, 262, 17], [1, 0, 0, 15, 77, 427, 63, 1085, 610, 353, 269, 16], [1, 0, 0, 15, 78, 420, 84, 1050, 645, 332, 276, 15], [1, 0, 0, 15, 79, 413, 105, 1015, 680, 311, 283, 14], [1, 0, 0, 15, 80, 406, 126, 980, 715, 290, 290, 13], [1, 0, 0, 15, 81, 399, 147, 945, 750, 269, 297, 12], [1, 0, 0, 15, 82, 392, 168, 910, 785, 248, 304, 11], [1, 0, 0, 15, 83, 385, 189, 875, 820, 227, 311, 10], [1, 0, 0, 15, 84, 378, 210, 840, 855, 206, 318, 9], [1, 0, 0, 15, 85, 371, 231, 805, 890, 185, 325, 8], [1, 0, 0, 15, 86, 364, 252, 770, 925, 164, 332, 7], [1, 0, 0, 15, 87, 357, 273, 735, 960, 143, 339, 6], [1, 0, 0, 15, 88, 350, 294, 700, 995, 122, 346, 5], [1, 0, 0, 15, 89, 343, 315, 665, 1030, 101, 353, 4], [1, 0, 0, 15, 90, 336, 336, 630, 1065, 80, 360, 3], [1, 0, 0, 15, 91, 329, 357, 595, 1100, 59, 367, 2], [1, 0, 0, 15, 92, 322, 378, 560, 1135, 38, 374, 1], [1, 0, 0, 15, 93, 315, 399, 525, 1170, 17, 381, 0], [1, 0, 0, 16, 69, 455, 7, 1155, 554, 381, 261, 17], [1, 0, 0, 16, 70, 448, 28, 1120, 589, 360, 268, 16], [1, 0, 0, 16, 71, 441, 49, 1085, 624, 339, 275, 15], [1, 0, 0, 16, 72, 434, 70, 1050, 659, 318, 282, 14], [1, 0, 0, 16, 73, 427, 91, 1015, 694, 297, 289, 13], [1, 0, 0, 16, 74, 420, 112, 980, 729, 276, 296, 12], [1, 0, 0, 16, 75, 413, 133, 945, 764, 255, 303, 11], [1, 0, 0, 16, 76, 406, 154, 910, 799, 234, 310, 10], [1, 0, 0, 16, 77, 399, 175, 875, 834, 213, 317, 9], [1, 0, 0, 16, 78, 392, 196, 840, 869, 192, 324, 8], [1, 0, 0, 16, 79, 385, 217, 805, 904, 171, 331, 7], [1, 0, 0, 16, 80, 378, 238, 770, 939, 150, 338, 6], [1, 0, 0, 16, 81, 371, 259, 735, 974, 129, 345, 5], [1, 0, 0, 16, 82, 364, 280, 700, 1009, 108, 352, 4], [1, 0, 0, 16, 83, 357, 301, 665, 1044, 87, 359, 3], [1, 0, 0, 16, 84, 350, 322, 630, 1079, 66, 366, 2], [1, 0, 0, 16, 85, 343, 343, 595, 1114, 45, 373, 1], [1, 0, 0, 16, 86, 336, 364, 560, 1149, 24, 380, 0], [1, 0, 0, 17, 64, 462, 14, 1120, 603, 346, 274, 15], [1, 0, 0, 17, 65, 455, 35, 1085, 638, 325, 281, 14], [1, 0, 0, 17, 66, 448, 56, 1050, 673, 304, 288, 13], [1, 0, 0, 17, 67, 441, 77, 1015, 708, 283, 295, 12], [1, 0, 0, 17, 68, 434, 98, 980, 743, 262, 302, 11], [1, 0, 0, 17, 69, 427, 119, 945, 778, 241, 309, 10], [1, 0, 0, 17, 70, 420, 140, 910, 813, 220, 316, 9], [1, 0, 0, 17, 71, 413, 161, 875, 848, 199, 323, 8], [1, 0, 0, 17, 72, 406, 182, 840, 883, 178, 330, 7], [1, 0, 0, 17, 73, 399, 203, 805, 918, 157, 337, 6], [1, 0, 0, 17, 74, 392, 224, 770, 953, 136, 344, 5], [1, 0, 0, 17, 75, 385, 245, 735, 988, 115, 351, 4], [1, 0, 0, 17, 76, 378, 266, 700, 1023, 94, 358, 3], [1, 0, 0, 17, 77, 371, 287, 665, 1058, 73, 365, 2], [1, 0, 0, 17, 78, 364, 308, 630, 1093, 52, 372, 1], [1, 0, 0, 17, 79, 357, 329, 595, 1128, 31, 379, 0], [1, 0, 0, 18, 58, 476, 0, 1120, 617, 332, 280, 14], [1, 0, 0, 18, 59, 469, 21, 1085, 652, 311, 287, 13], [1, 0, 0, 18, 60, 462, 42, 1050, 687, 290, 294, 12], [1, 0, 0, 18, 61, 455, 63, 1015, 722, 269, 301, 11], [1, 0, 0, 18, 62, 448, 84, 980, 757, 248, 308, 10], [1, 0, 0, 18, 63, 441, 105, 945, 792, 227, 315, 9], [1, 0, 0, 18, 64, 434, 126, 910, 827, 206, 322, 8], [1, 0, 0, 18, 65, 427, 147, 875, 862, 185, 329, 7], [1, 0, 0, 18, 66, 420, 168, 840, 897, 164, 336, 6], [1, 0, 0, 18, 67, 413, 189, 805, 932, 143, 343, 5], [1, 0, 0, 18, 68, 406, 210, 770, 967, 122, 350, 4], [1, 0, 0, 18, 69, 399, 231, 735, 1002, 101, 357, 3], [1, 0, 0, 18, 70, 392, 252, 700, 1037, 80, 364, 2], [1, 0, 0, 18, 71, 385, 273, 665, 1072, 59, 371, 1], [1, 0, 0, 18, 72, 378, 294, 630, 1107, 38, 378, 0], [1, 0, 0, 19, 53, 483, 7, 1085, 666, 297, 293, 12], [1, 0, 0, 19, 54, 476, 28, 1050, 701, 276, 300, 11], [1, 0, 0, 19, 55, 469, 49, 1015, 736, 255, 307, 10], [1, 0, 0, 19, 56, 462, 70, 980, 771, 234, 314, 9], [1, 0, 0, 19, 57, 455, 91, 945, 806, 213, 321, 8], [1, 0, 0, 19, 58, 448, 112, 910, 841, 192, 328, 7], [1, 0, 0, 19, 59, 441, 133, 875, 876, 171, 335, 6], [1, 0, 0, 19, 60, 434, 154, 840, 911, 150, 342, 5], [1, 0, 0, 19, 61, 427, 175, 805, 946, 129, 349, 4], [1, 0, 0, 19, 62, 420, 196, 770, 981, 108, 356, 3], [1, 0, 0, 19, 63, 413, 217, 735, 1016, 87, 363, 2], [1, 0, 0, 19, 64, 406, 238, 700, 1051, 66, 370, 1], [1, 0, 0, 19, 65, 399, 259, 665, 1086, 45, 377, 0], [1, 0, 0, 20, 48, 490, 14, 1050, 715, 262, 306, 10], [1, 0, 0, 20, 49, 483, 35, 1015, 750, 241, 313, 9], [1, 0, 0, 20, 50, 476, 56, 980, 785, 220, 320, 8], [1, 0, 0, 20, 51, 469, 77, 945, 820, 199, 327, 7], [1, 0, 0, 20, 52, 462, 98, 910, 855, 178, 334, 6], [1, 0, 0, 20, 53, 455, 119, 875, 890, 157, 341, 5], [1, 0, 0, 20, 54, 448, 140, 840, 925, 136, 348, 4], [1, 0, 0, 20, 55, 441, 161, 805, 960, 115, 355, 3], [1, 0, 0, 20, 56, 434, 182, 770, 995, 94, 362, 2], [1, 0, 0, 20, 57, 427, 203, 735, 1030, 73, 369, 1], [1, 0, 0, 20, 58, 420, 224, 700, 1065, 52, 376, 0], [1, 0, 0, 21, 42, 504, 0, 1050, 729, 248, 312, 9], [1, 0, 0, 21, 43, 497, 21, 1015, 764, 227, 319, 8], [1, 0, 0, 21, 44, 490, 42, 980, 799, 206, 326, 7], [1, 0, 0, 21, 45, 483, 63, 945, 834, 185, 333, 6], [1, 0, 0, 21, 46, 476, 84, 910, 869, 164, 340, 5], [1, 0, 0, 21, 47, 469, 105, 875, 904, 143, 347, 4], [1, 0, 0, 21, 48, 462, 126, 840, 939, 122, 354, 3], [1, 0, 0, 21, 49, 455, 147, 805, 974, 101, 361, 2], [1, 0, 0, 21, 50, 448, 168, 770, 1009, 80, 368, 1], [1, 0, 0, 21, 51, 441, 189, 735, 1044, 59, 375, 0], [1, 0, 0, 22, 37, 511, 7, 1015, 778, 213, 325, 7], [1, 0, 0, 22, 38, 504, 28, 980, 813, 192, 332, 6], [1, 0, 0, 22, 39, 497, 49, 945, 848, 171, 339, 5], [1, 0, 0, 22, 40, 490, 70, 910, 883, 150, 346, 4], [1, 0, 0, 22, 41, 483, 91, 875, 918, 129, 353, 3], [1, 0, 0, 22, 42, 476, 112, 840, 953, 108, 360, 2], [1, 0, 0, 22, 43, 469, 133, 805, 988, 87, 367, 1], [1, 0, 0, 22, 44, 462, 154, 770, 1023, 66, 374, 0], [1, 0, 0, 23, 32, 518, 14, 980, 827, 178, 338, 5], [1, 0, 0, 23, 33, 511, 35, 945, 862, 157, 345, 4], [1, 0, 0, 23, 34, 504, 56, 910, 897, 136, 352, 3], [1, 0, 0, 23, 35, 497, 77, 875, 932, 115, 359, 2], [1, 0, 0, 23, 36, 490, 98, 840, 967, 94, 366, 1], [1, 0, 0, 23, 37, 483, 119, 805, 1002, 73, 373, 0], [1, 0, 0, 24, 26, 532, 0, 980, 841, 164, 344, 4], [1, 0, 0, 24, 27, 525, 21, 945, 876, 143, 351, 3], [1, 0, 0, 24, 28, 518, 42, 910, 911, 122, 358, 2], [1, 0, 0, 24, 29, 511, 63, 875, 946, 101, 365, 1], [1, 0, 0, 24, 30, 504, 84, 840, 981, 80, 372, 0], [1, 0, 0, 25, 21, 539, 7, 945, 890, 129, 357, 2], [1, 0, 0, 25, 22, 532, 28, 910, 925, 108, 364, 1], [1, 0, 0, 25, 23, 525, 49, 875, 960, 87, 371, 0], [1, 0, 0, 26, 16, 546, 14, 910, 939, 94, 370, 0], [1, 0, 1, 0, 136, 350, 0, 1414, 155, 674, 151, 34], [1, 0, 1, 0, 137, 343, 21, 1379, 190, 653, 158, 33], [1, 0, 1, 0, 138, 336, 42, 1344, 225, 632, 165, 32], [1, 0, 1, 0, 139, 329, 63, 1309, 260, 611, 172, 31], [1, 0, 1, 0, 140, 322, 84, 1274, 295, 590, 179, 30], [1, 0, 1, 0, 141, 315, 105, 1239, 330, 569, 186, 29], [1, 0, 1, 0, 142, 308, 126, 1204, 365, 548, 193, 28], [1, 0, 1, 0, 143, 301, 147, 1169, 400, 527, 200, 27], [1, 0, 1, 0, 144, 294, 168, 1134, 435, 506, 207, 26], [1, 0, 1, 0, 145, 287, 189, 1099, 470, 485, 214, 25], [1, 0, 1, 0, 146, 280, 210, 1064, 505, 464, 221, 24], [1, 0, 1, 0, 147, 273, 231, 1029, 540, 443, 228, 23], [1, 0, 1, 0, 148, 266, 252, 994, 575, 422, 235, 22], [1, 0, 1, 0, 149, 259, 273, 959, 610, 401, 242, 21], [1, 0, 1, 0, 150, 252, 294, 924, 645, 380, 249, 20], [1, 0, 1, 0, 151, 245, 315, 889, 680, 359, 256, 19], [1, 0, 1, 0, 152, 238, 336, 854, 715, 338, 263, 18], [1, 0, 1, 0, 153, 231, 357, 819, 750, 317, 270, 17], [1, 0, 1, 0, 154, 224, 378, 784, 785, 296, 277, 16], [1, 0, 1, 0, 155, 217, 399, 749, 820, 275, 284, 15], [1, 0, 1, 0, 156, 210, 420, 714, 855, 254, 291, 14], [1, 0, 1, 0, 157, 203, 441, 679, 890, 233, 298, 13], [1, 0, 1, 0, 158, 196, 462, 644, 925, 212, 305, 12], [1, 0, 1, 0, 159, 189, 483, 609, 960, 191, 312, 11], [1, 0, 1, 0, 160, 182, 504, 574, 995, 170, 319, 10], [1, 0, 1, 0, 161, 175, 525, 539, 1030, 149, 326, 9], [1, 0, 1, 0, 162, 168, 546, 504, 1065, 128, 333, 8], [1, 0, 1, 0, 163, 161, 567, 469, 1100, 107, 340, 7], [1, 0, 1, 0, 164, 154, 588, 434, 1135, 86, 347, 6], [1, 0, 1, 0, 165, 147, 609, 399, 1170, 65, 354, 5], [1, 0, 1, 0, 166, 140, 630, 364, 1205, 44, 361, 4], [1, 0, 1, 0, 167, 133, 651, 329, 1240, 23, 368, 3], [1, 0, 1, 0, 168, 126, 672, 294, 1275, 2, 375, 2], [1, 0, 1, 1, 131, 357, 7, 1379, 204, 639, 164, 32], [1, 0, 1, 1, 132, 350, 28, 1344, 239, 618, 171, 31], [1, 0, 1, 1, 133, 343, 49, 1309, 274, 597, 178, 30], [1, 0, 1, 1, 134, 336, 70, 1274, 309, 576, 185, 29], [1, 0, 1, 1, 135, 329, 91, 1239, 344, 555, 192, 28], [1, 0, 1, 1, 136, 322, 112, 1204, 379, 534, 199, 27], [1, 0, 1, 1, 137, 315, 133, 1169, 414, 513, 206, 26], [1, 0, 1, 1, 138, 308, 154, 1134, 449, 492, 213, 25], [1, 0, 1, 1, 139, 301, 175, 1099, 484, 471, 220, 24], [1, 0, 1, 1, 140, 294, 196, 1064, 519, 450, 227, 23], [1, 0, 1, 1, 141, 287, 217, 1029, 554, 429, 234, 22], [1, 0, 1, 1, 142, 280, 238, 994, 589, 408, 241, 21], [1, 0, 1, 1, 143, 273, 259, 959, 624, 387, 248, 20], [1, 0, 1, 1, 144, 266, 280, 924, 659, 366, 255, 19], [1, 0, 1, 1, 145, 259, 301, 889, 694, 345, 262, 18], [1, 0, 1, 1, 146, 252, 322, 854, 729, 324, 269, 17], [1, 0, 1, 1, 147, 245, 343, 819, 764, 303, 276, 16], [1, 0, 1, 1, 148, 238, 364, 784, 799, 282, 283, 15], [1, 0, 1, 1, 149, 231, 385, 749, 834, 261, 290, 14], [1, 0, 1, 1, 150, 224, 406, 714, 869, 240, 297, 13], [1, 0, 1, 1, 151, 217, 427, 679, 904, 219, 304, 12], [1, 0, 1, 1, 152, 210, 448, 644, 939, 198, 311, 11], [1, 0, 1, 1, 153, 203, 469, 609, 974, 177, 318, 10], [1, 0, 1, 1, 154, 196, 490, 574, 1009, 156, 325, 9], [1, 0, 1, 1, 155, 189, 511, 539, 1044, 135, 332, 8], [1, 0, 1, 1, 156, 182, 532, 504, 1079, 114, 339, 7], [1, 0, 1, 1, 157, 175, 553, 469, 1114, 93, 346, 6], [1, 0, 1, 1, 158, 168, 574, 434, 1149, 72, 353, 5], [1, 0, 1, 1, 159, 161, 595, 399, 1184, 51, 360, 4], [1, 0, 1, 1, 160, 154, 616, 364, 1219, 30, 367, 3], [1, 0, 1, 1, 161, 147, 637, 329, 1254, 9, 374, 2], [1, 0, 1, 2, 126, 364, 14, 1344, 253, 604, 177, 30], [1, 0, 1, 2, 127, 357, 35, 1309, 288, 583, 184, 29], [1, 0, 1, 2, 128, 350, 56, 1274, 323, 562, 191, 28], [1, 0, 1, 2, 129, 343, 77, 1239, 358, 541, 198, 27], [1, 0, 1, 2, 130, 336, 98, 1204, 393, 520, 205, 26], [1, 0, 1, 2, 131, 329, 119, 1169, 428, 499, 212, 25], [1, 0, 1, 2, 132, 322, 140, 1134, 463, 478, 219, 24], [1, 0, 1, 2, 133, 315, 161, 1099, 498, 457, 226, 23], [1, 0, 1, 2, 134, 308, 182, 1064, 533, 436, 233, 22], [1, 0, 1, 2, 135, 301, 203, 1029, 568, 415, 240, 21], [1, 0, 1, 2, 136, 294, 224, 994, 603, 394, 247, 20], [1, 0, 1, 2, 137, 287, 245, 959, 638, 373, 254, 19], [1, 0, 1, 2, 138, 280, 266, 924, 673, 352, 261, 18], [1, 0, 1, 2, 139, 273, 287, 889, 708, 331, 268, 17], [1, 0, 1, 2, 140, 266, 308, 854, 743, 310, 275, 16], [1, 0, 1, 2, 141, 259, 329, 819, 778, 289, 282, 15], [1, 0, 1, 2, 142, 252, 350, 784, 813, 268, 289, 14], [1, 0, 1, 2, 143, 245, 371, 749, 848, 247, 296, 13], [1, 0, 1, 2, 144, 238, 392, 714, 883, 226, 303, 12], [1, 0, 1, 2, 145, 231, 413, 679, 918, 205, 310, 11], [1, 0, 1, 2, 146, 224, 434, 644, 953, 184, 317, 10], [1, 0, 1, 2, 147, 217, 455, 609, 988, 163, 324, 9], [1, 0, 1, 2, 148, 210, 476, 574, 1023, 142, 331, 8], [1, 0, 1, 2, 149, 203, 497, 539, 1058, 121, 338, 7], [1, 0, 1, 2, 150, 196, 518, 504, 1093, 100, 345, 6], [1, 0, 1, 2, 151, 189, 539, 469, 1128, 79, 352, 5], [1, 0, 1, 2, 152, 182, 560, 434, 1163, 58, 359, 4], [1, 0, 1, 2, 153, 175, 581, 399, 1198, 37, 366, 3], [1, 0, 1, 2, 154, 168, 602, 364, 1233, 16, 373, 2], [1, 0, 1, 3, 120, 378, 0, 1344, 267, 590, 183, 29], [1, 0, 1, 3, 121, 371, 21, 1309, 302, 569, 190, 28], [1, 0, 1, 3, 122, 364, 42, 1274, 337, 548, 197, 27], [1, 0, 1, 3, 123, 357, 63, 1239, 372, 527, 204, 26], [1, 0, 1, 3, 124, 350, 84, 1204, 407, 506, 211, 25], [1, 0, 1, 3, 125, 343, 105, 1169, 442, 485, 218, 24], [1, 0, 1, 3, 126, 336, 126, 1134, 477, 464, 225, 23], [1, 0, 1, 3, 127, 329, 147, 1099, 512, 443, 232, 22], [1, 0, 1, 3, 128, 322, 168, 1064, 547, 422, 239, 21], [1, 0, 1, 3, 129, 315, 189, 1029, 582, 401, 246, 20], [1, 0, 1, 3, 130, 308, 210, 994, 617, 380, 253, 19], [1, 0, 1, 3, 131, 301, 231, 959, 652, 359, 260, 18], [1, 0, 1, 3, 132, 294, 252, 924, 687, 338, 267, 17], [1, 0, 1, 3, 133, 287, 273, 889, 722, 317, 274, 16], [1, 0, 1, 3, 134, 280, 294, 854, 757, 296, 281, 15], [1, 0, 1, 3, 135, 273, 315, 819, 792, 275, 288, 14], [1, 0, 1, 3, 136, 266, 336, 784, 827, 254, 295, 13], [1, 0, 1, 3, 137, 259, 357, 749, 862, 233, 302, 12], [1, 0, 1, 3, 138, 252, 378, 714, 897, 212, 309, 11], [1, 0, 1, 3, 139, 245, 399, 679, 932, 191, 316, 10], [1, 0, 1, 3, 140, 238, 420, 644, 967, 170, 323, 9], [1, 0, 1, 3, 141, 231, 441, 609, 1002, 149, 330, 8], [1, 0, 1, 3, 142, 224, 462, 574, 1037, 128, 337, 7], [1, 0, 1, 3, 143, 217, 483, 539, 1072, 107, 344, 6], [1, 0, 1, 3, 144, 210, 504, 504, 1107, 86, 351, 5], [1, 0, 1, 3, 145, 203, 525, 469, 1142, 65, 358, 4], [1, 0, 1, 3, 146, 196, 546, 434, 1177, 44, 365, 3], [1, 0, 1, 3, 147, 189, 567, 399, 1212, 23, 372, 2], [1, 0, 1, 3, 148, 182, 588, 364, 1247, 2, 379, 1], [1, 0, 1, 4, 115, 385, 7, 1309, 316, 555, 196, 27], [1, 0, 1, 4, 116, 378, 28, 1274, 351, 534, 203, 26], [1, 0, 1, 4, 117, 371, 49, 1239, 386, 513, 210, 25], [1, 0, 1, 4, 118, 364, 70, 1204, 421, 492, 217, 24], [1, 0, 1, 4, 119, 357, 91, 1169, 456, 471, 224, 23], [1, 0, 1, 4, 120, 350, 112, 1134, 491, 450, 231, 22], [1, 0, 1, 4, 121, 343, 133, 1099, 526, 429, 238, 21], [1, 0, 1, 4, 122, 336, 154, 1064, 561, 408, 245, 20], [1, 0, 1, 4, 123, 329, 175, 1029, 596, 387, 252, 19], [1, 0, 1, 4, 124, 322, 196, 994, 631, 366, 259, 18], [1, 0, 1, 4, 125, 315, 217, 959, 666, 345, 266, 17], [1, 0, 1, 4, 126, 308, 238, 924, 701, 324, 273, 16], [1, 0, 1, 4, 127, 301, 259, 889, 736, 303, 280, 15], [1, 0, 1, 4, 128, 294, 280, 854, 771, 282, 287, 14], [1, 0, 1, 4, 129, 287, 301, 819, 806, 261, 294, 13], [1, 0, 1, 4, 130, 280, 322, 784, 841, 240, 301, 12], [1, 0, 1, 4, 131, 273, 343, 749, 876, 219, 308, 11], [1, 0, 1, 4, 132, 266, 364, 714, 911, 198, 315, 10], [1, 0, 1, 4, 133, 259, 385, 679, 946, 177, 322, 9], [1, 0, 1, 4, 134, 252, 406, 644, 981, 156, 329, 8], [1, 0, 1, 4, 135, 245, 427, 609, 1016, 135, 336, 7], [1, 0, 1, 4, 136, 238, 448, 574, 1051, 114, 343, 6], [1, 0, 1, 4, 137, 231, 469, 539, 1086, 93, 350, 5], [1, 0, 1, 4, 138, 224, 490, 504, 1121, 72, 357, 4], [1, 0, 1, 4, 139, 217, 511, 469, 1156, 51, 364, 3], [1, 0, 1, 4, 140, 210, 532, 434, 1191, 30, 371, 2], [1, 0, 1, 4, 141, 203, 553, 399, 1226, 9, 378, 1], [1, 0, 1, 5, 110, 392, 14, 1274, 365, 520, 209, 25], [1, 0, 1, 5, 111, 385, 35, 1239, 400, 499, 216, 24], [1, 0, 1, 5, 112, 378, 56, 1204, 435, 478, 223, 23], [1, 0, 1, 5, 113, 371, 77, 1169, 470, 457, 230, 22], [1, 0, 1, 5, 114, 364, 98, 1134, 505, 436, 237, 21], [1, 0, 1, 5, 115, 357, 119, 1099, 540, 415, 244, 20], [1, 0, 1, 5, 116, 350, 140, 1064, 575, 394, 251, 19], [1, 0, 1, 5, 117, 343, 161, 1029, 610, 373, 258, 18], [1, 0, 1, 5, 118, 336, 182, 994, 645, 352, 265, 17], [1, 0, 1, 5, 119, 329, 203, 959, 680, 331, 272, 16], [1, 0, 1, 5, 120, 322, 224, 924, 715, 310, 279, 15], [1, 0, 1, 5, 121, 315, 245, 889, 750, 289, 286, 14], [1, 0, 1, 5, 122, 308, 266, 854, 785, 268, 293, 13], [1, 0, 1, 5, 123, 301, 287, 819, 820, 247, 300, 12], [1, 0, 1, 5, 124, 294, 308, 784, 855, 226, 307, 11], [1, 0, 1, 5, 125, 287, 329, 749, 890, 205, 314, 10], [1, 0, 1, 5, 126, 280, 350, 714, 925, 184, 321, 9], [1, 0, 1, 5, 127, 273, 371, 679, 960, 163, 328, 8], [1, 0, 1, 5, 128, 266, 392, 644, 995, 142, 335, 7], [1, 0, 1, 5, 129, 259, 413, 609, 1030, 121, 342, 6], [1, 0, 1, 5, 130, 252, 434, 574, 1065, 100, 349, 5], [1, 0, 1, 5, 131, 245, 455, 539, 1100, 79, 356, 4], [1, 0, 1, 5, 132, 238, 476, 504, 1135, 58, 363, 3], [1, 0, 1, 5, 133, 231, 497, 469, 1170, 37, 370, 2], [1, 0, 1, 5, 134, 224, 518, 434, 1205, 16, 377, 1], [1, 0, 1, 6, 104, 406, 0, 1274, 379, 506, 215, 24], [1, 0, 1, 6, 105, 399, 21, 1239, 414, 485, 222, 23], [1, 0, 1, 6, 106, 392, 42, 1204, 449, 464, 229, 22], [1, 0, 1, 6, 107, 385, 63, 1169, 484, 443, 236, 21], [1, 0, 1, 6, 108, 378, 84, 1134, 519, 422, 243, 20], [1, 0, 1, 6, 109, 371, 105, 1099, 554, 401, 250, 19], [1, 0, 1, 6, 110, 364, 126, 1064, 589, 380, 257, 18], [1, 0, 1, 6, 111, 357, 147, 1029, 624, 359, 264, 17], [1, 0, 1, 6, 112, 350, 168, 994, 659, 338, 271, 16], [1, 0, 1, 6, 113, 343, 189, 959, 694, 317, 278, 15], [1, 0, 1, 6, 114, 336, 210, 924, 729, 296, 285, 14], [1, 0, 1, 6, 115, 329, 231, 889, 764, 275, 292, 13], [1, 0, 1, 6, 116, 322, 252, 854, 799, 254, 299, 12], [1, 0, 1, 6, 117, 315, 273, 819, 834, 233, 306, 11], [1, 0, 1, 6, 118, 308, 294, 784, 869, 212, 313, 10], [1, 0, 1, 6, 119, 301, 315, 749, 904, 191, 320, 9], [1, 0, 1, 6, 120, 294, 336, 714, 939, 170, 327, 8], [1, 0, 1, 6, 121, 287, 357, 679, 974, 149, 334, 7], [1, 0, 1, 6, 122, 280, 378, 644, 1009, 128, 341, 6], [1, 0, 1, 6, 123, 273, 399, 609, 1044, 107, 348, 5], [1, 0, 1, 6, 124, 266, 420, 574, 1079, 86, 355, 4], [1, 0, 1, 6, 125, 259, 441, 539, 1114, 65, 362, 3], [1, 0, 1, 6, 126, 252, 462, 504, 1149, 44, 369, 2], [1, 0, 1, 6, 127, 245, 483, 469, 1184, 23, 376, 1], [1, 0, 1, 6, 128, 238, 504, 434, 1219, 2, 383, 0], [1, 0, 1, 7, 99, 413, 7, 1239, 428, 471, 228, 22], [1, 0, 1, 7, 100, 406, 28, 1204, 463, 450, 235, 21], [1, 0, 1, 7, 101, 399, 49, 1169, 498, 429, 242, 20], [1, 0, 1, 7, 102, 392, 70, 1134, 533, 408, 249, 19], [1, 0, 1, 7, 103, 385, 91, 1099, 568, 387, 256, 18], [1, 0, 1, 7, 104, 378, 112, 1064, 603, 366, 263, 17], [1, 0, 1, 7, 105, 371, 133, 1029, 638, 345, 270, 16], [1, 0, 1, 7, 106, 364, 154, 994, 673, 324, 277, 15], [1, 0, 1, 7, 107, 357, 175, 959, 708, 303, 284, 14], [1, 0, 1, 7, 108, 350, 196, 924, 743, 282, 291, 13], [1, 0, 1, 7, 109, 343, 217, 889, 778, 261, 298, 12], [1, 0, 1, 7, 110, 336, 238, 854, 813, 240, 305, 11], [1, 0, 1, 7, 111, 329, 259, 819, 848, 219, 312, 10], [1, 0, 1, 7, 112, 322, 280, 784, 883, 198, 319, 9], [1, 0, 1, 7, 113, 315, 301, 749, 918, 177, 326, 8], [1, 0, 1, 7, 114, 308, 322, 714, 953, 156, 333, 7], [1, 0, 1, 7, 115, 301, 343, 679, 988, 135, 340, 6], [1, 0, 1, 7, 116, 294, 364, 644, 1023, 114, 347, 5], [1, 0, 1, 7, 117, 287, 385, 609, 1058, 93, 354, 4], [1, 0, 1, 7, 118, 280, 406, 574, 1093, 72, 361, 3], [1, 0, 1, 7, 119, 273, 427, 539, 1128, 51, 368, 2], [1, 0, 1, 7, 120, 266, 448, 504, 1163, 30, 375, 1], [1, 0, 1, 7, 121, 259, 469, 469, 1198, 9, 382, 0], [1, 0, 1, 8, 94, 420, 14, 1204, 477, 436, 241, 20], [1, 0, 1, 8, 95, 413, 35, 1169, 512, 415, 248, 19], [1, 0, 1, 8, 96, 406, 56, 1134, 547, 394, 255, 18], [1, 0, 1, 8, 97, 399, 77, 1099, 582, 373, 262, 17], [1, 0, 1, 8, 98, 392, 98, 1064, 617, 352, 269, 16], [1, 0, 1, 8, 99, 385, 119, 1029, 652, 331, 276, 15], [1, 0, 1, 8, 100, 378, 140, 994, 687, 310, 283, 14], [1, 0, 1, 8, 101, 371, 161, 959, 722, 289, 290, 13], [1, 0, 1, 8, 102, 364, 182, 924, 757, 268, 297, 12], [1, 0, 1, 8, 103, 357, 203, 889, 792, 247, 304, 11], [1, 0, 1, 8, 104, 350, 224, 854, 827, 226, 311, 10], [1, 0, 1, 8, 105, 343, 245, 819, 862, 205, 318, 9], [1, 0, 1, 8, 106, 336, 266, 784, 897, 184, 325, 8], [1, 0, 1, 8, 107, 329, 287, 749, 932, 163, 332, 7], [1, 0, 1, 8, 108, 322, 308, 714, 967, 142, 339, 6], [1, 0, 1, 8, 109, 315, 329, 679, 1002, 121, 346, 5], [1, 0, 1, 8, 110, 308, 350, 644, 1037, 100, 353, 4], [1, 0, 1, 8, 111, 301, 371, 609, 1072, 79, 360, 3], [1, 0, 1, 8, 112, 294, 392, 574, 1107, 58, 367, 2], [1, 0, 1, 8, 113, 287, 413, 539, 1142, 37, 374, 1], [1, 0, 1, 8, 114, 280, 434, 504, 1177, 16, 381, 0], [1, 0, 1, 9, 88, 434, 0, 1204, 491, 422, 247, 19], [1, 0, 1, 9, 89, 427, 21, 1169, 526, 401, 254, 18], [1, 0, 1, 9, 90, 420, 42, 1134, 561, 380, 261, 17], [1, 0, 1, 9, 91, 413, 63, 1099, 596, 359, 268, 16], [1, 0, 1, 9, 92, 406, 84, 1064, 631, 338, 275, 15], [1, 0, 1, 9, 93, 399, 105, 1029, 666, 317, 282, 14], [1, 0, 1, 9, 94, 392, 126, 994, 701, 296, 289, 13], [1, 0, 1, 9, 95, 385, 147, 959, 736, 275, 296, 12], [1, 0, 1, 9, 96, 378, 168, 924, 771, 254, 303, 11], [1, 0, 1, 9, 97, 371, 189, 889, 806, 233, 310, 10], [1, 0, 1, 9, 98, 364, 210, 854, 841, 212, 317, 9], [1, 0, 1, 9, 99, 357, 231, 819, 876, 191, 324, 8], [1, 0, 1, 9, 100, 350, 252, 784, 911, 170, 331, 7], [1, 0, 1, 9, 101, 343, 273, 749, 946, 149, 338, 6], [1, 0, 1, 9, 102, 336, 294, 714, 981, 128, 345, 5], [1, 0, 1, 9, 103, 329, 315, 679, 1016, 107, 352, 4], [1, 0, 1, 9, 104, 322, 336, 644, 1051, 86, 359, 3], [1, 0, 1, 9, 105, 315, 357, 609, 1086, 65, 366, 2], [1, 0, 1, 9, 106, 308, 378, 574, 1121, 44, 373, 1], [1, 0, 1, 9, 107, 301, 399, 539, 1156, 23, 380, 0], [1, 0, 1, 10, 83, 441, 7, 1169, 540, 387, 260, 17], [1, 0, 1, 10, 84, 434, 28, 1134, 575, 366, 267, 16], [1, 0, 1, 10, 85, 427, 49, 1099, 610, 345, 274, 15], [1, 0, 1, 10, 86, 420, 70, 1064, 645, 324, 281, 14], [1, 0, 1, 10, 87, 413, 91, 1029, 680, 303, 288, 13], [1, 0, 1, 10, 88, 406, 112, 994, 715, 282, 295, 12], [1, 0, 1, 10, 89, 399, 133, 959, 750, 261, 302, 11], [1, 0, 1, 10, 90, 392, 154, 924, 785, 240, 309, 10], [1, 0, 1, 10, 91, 385, 175, 889, 820, 219, 316, 9], [1, 0, 1, 10, 92, 378, 196, 854, 855, 198, 323, 8], [1, 0, 1, 10, 93, 371, 217, 819, 890, 177, 330, 7], [1, 0, 1, 10, 94, 364, 238, 784, 925, 156, 337, 6], [1, 0, 1, 10, 95, 357, 259, 749, 960, 135, 344, 5], [1, 0, 1, 10, 96, 350, 280, 714, 995, 114, 351, 4], [1, 0, 1, 10, 97, 343, 301, 679, 1030, 93, 358, 3], [1, 0, 1, 10, 98, 336, 322, 644, 1065, 72, 365, 2], [1, 0, 1, 10, 99, 329, 343, 609, 1100, 51, 372, 1], [1, 0, 1, 10, 100, 322, 364, 574, 1135, 30, 379, 0], [1, 0, 1, 11, 78, 448, 14, 1134, 589, 352, 273, 15], [1, 0, 1, 11, 79, 441, 35, 1099, 624, 331, 280, 14], [1, 0, 1, 11, 80, 434, 56, 1064, 659, 310, 287, 13], [1, 0, 1, 11, 81, 427, 77, 1029, 694, 289, 294, 12], [1, 0, 1, 11, 82, 420, 98, 994, 729, 268, 301, 11], [1, 0, 1, 11, 83, 413, 119, 959, 764, 247, 308, 10], [1, 0, 1, 11, 84, 406, 140, 924, 799, 226, 315, 9], [1, 0, 1, 11, 85, 399, 161, 889, 834, 205, 322, 8], [1, 0, 1, 11, 86, 392, 182, 854, 869, 184, 329, 7], [1, 0, 1, 11, 87, 385, 203, 819, 904, 163, 336, 6], [1, 0, 1, 11, 88, 378, 224, 784, 939, 142, 343, 5], [1, 0, 1, 11, 89, 371, 245, 749, 974, 121, 350, 4], [1, 0, 1, 11, 90, 364, 266, 714, 1009, 100, 357, 3], [1, 0, 1, 11, 91, 357, 287, 679, 1044, 79, 364, 2], [1, 0, 1, 11, 92, 350, 308, 644, 1079, 58, 371, 1], [1, 0, 1, 11, 93, 343, 329, 609, 1114, 37, 378, 0], [1, 0, 1, 12, 72, 462, 0, 1134, 603, 338, 279, 14], [1, 0, 1, 12, 73, 455, 21, 1099, 638, 317, 286, 13], [1, 0, 1, 12, 74, 448, 42, 1064, 673, 296, 293, 12], [1, 0, 1, 12, 75, 441, 63, 1029, 708, 275, 300, 11], [1, 0, 1, 12, 76, 434, 84, 994, 743, 254, 307, 10], [1, 0, 1, 12, 77, 427, 105, 959, 778, 233, 314, 9], [1, 0, 1, 12, 78, 420, 126, 924, 813, 212, 321, 8], [1, 0, 1, 12, 79, 413, 147, 889, 848, 191, 328, 7], [1, 0, 1, 12, 80, 406, 168, 854, 883, 170, 335, 6], [1, 0, 1, 12, 81, 399, 189, 819, 918, 149, 342, 5], [1, 0, 1, 12, 82, 392, 210, 784, 953, 128, 349, 4], [1, 0, 1, 12, 83, 385, 231, 749, 988, 107, 356, 3], [1, 0, 1, 12, 84, 378, 252, 714, 1023, 86, 363, 2], [1, 0, 1, 12, 85, 371, 273, 679, 1058, 65, 370, 1], [1, 0, 1, 12, 86, 364, 294, 644, 1093, 44, 377, 0], [1, 0, 1, 13, 67, 469, 7, 1099, 652, 303, 292, 12], [1, 0, 1, 13, 68, 462, 28, 1064, 687, 282, 299, 11], [1, 0, 1, 13, 69, 455, 49, 1029, 722, 261, 306, 10], [1, 0, 1, 13, 70, 448, 70, 994, 757, 240, 313, 9], [1, 0, 1, 13, 71, 441, 91, 959, 792, 219, 320, 8], [1, 0, 1, 13, 72, 434, 112, 924, 827, 198, 327, 7], [1, 0, 1, 13, 73, 427, 133, 889, 862, 177, 334, 6], [1, 0, 1, 13, 74, 420, 154, 854, 897, 156, 341, 5], [1, 0, 1, 13, 75, 413, 175, 819, 932, 135, 348, 4], [1, 0, 1, 13, 76, 406, 196, 784, 967, 114, 355, 3], [1, 0, 1, 13, 77, 399, 217, 749, 1002, 93, 362, 2], [1, 0, 1, 13, 78, 392, 238, 714, 1037, 72, 369, 1], [1, 0, 1, 13, 79, 385, 259, 679, 1072, 51, 376, 0], [1, 0, 1, 14, 62, 476, 14, 1064, 701, 268, 305, 10], [1, 0, 1, 14, 63, 469, 35, 1029, 736, 247, 312, 9], [1, 0, 1, 14, 64, 462, 56, 994, 771, 226, 319, 8], [1, 0, 1, 14, 65, 455, 77, 959, 806, 205, 326, 7], [1, 0, 1, 14, 66, 448, 98, 924, 841, 184, 333, 6], [1, 0, 1, 14, 67, 441, 119, 889, 876, 163, 340, 5], [1, 0, 1, 14, 68, 434, 140, 854, 911, 142, 347, 4], [1, 0, 1, 14, 69, 427, 161, 819, 946, 121, 354, 3], [1, 0, 1, 14, 70, 420, 182, 784, 981, 100, 361, 2], [1, 0, 1, 14, 71, 413, 203, 749, 1016, 79, 368, 1], [1, 0, 1, 14, 72, 406, 224, 714, 1051, 58, 375, 0], [1, 0, 1, 15, 56, 490, 0, 1064, 715, 254, 311, 9], [1, 0, 1, 15, 57, 483, 21, 1029, 750, 233, 318, 8], [1, 0, 1, 15, 58, 476, 42, 994, 785, 212, 325, 7], [1, 0, 1, 15, 59, 469, 63, 959, 820, 191, 332, 6], [1, 0, 1, 15, 60, 462, 84, 924, 855, 170, 339, 5], [1, 0, 1, 15, 61, 455, 105, 889, 890, 149, 346, 4], [1, 0, 1, 15, 62, 448, 126, 854, 925, 128, 353, 3], [1, 0, 1, 15, 63, 441, 147, 819, 960, 107, 360, 2], [1, 0, 1, 15, 64, 434, 168, 784, 995, 86, 367, 1], [1, 0, 1, 15, 65, 427, 189, 749, 1030, 65, 374, 0], [1, 0, 1, 16, 51, 497, 7, 1029, 764, 219, 324, 7], [1, 0, 1, 16, 52, 490, 28, 994, 799, 198, 331, 6], [1, 0, 1, 16, 53, 483, 49, 959, 834, 177, 338, 5], [1, 0, 1, 16, 54, 476, 70, 924, 869, 156, 345, 4], [1, 0, 1, 16, 55, 469, 91, 889, 904, 135, 352, 3], [1, 0, 1, 16, 56, 462, 112, 854, 939, 114, 359, 2], [1, 0, 1, 16, 57, 455, 133, 819, 974, 93, 366, 1], [1, 0, 1, 16, 58, 448, 154, 784, 1009, 72, 373, 0], [1, 0, 1, 17, 46, 504, 14, 994, 813, 184, 337, 5], [1, 0, 1, 17, 47, 497, 35, 959, 848, 163, 344, 4], [1, 0, 1, 17, 48, 490, 56, 924, 883, 142, 351, 3], [1, 0, 1, 17, 49, 483, 77, 889, 918, 121, 358, 2], [1, 0, 1, 17, 50, 476, 98, 854, 953, 100, 365, 1], [1, 0, 1, 17, 51, 469, 119, 819, 988, 79, 372, 0], [1, 0, 1, 18, 40, 518, 0, 994, 827, 170, 343, 4], [1, 0, 1, 18, 41, 511, 21, 959, 862, 149, 350, 3], [1, 0, 1, 18, 42, 504, 42, 924, 897, 128, 357, 2], [1, 0, 1, 18, 43, 497, 63, 889, 932, 107, 364, 1], [1, 0, 1, 18, 44, 490, 84, 854, 967, 86, 371, 0], [1, 0, 1, 19, 35, 525, 7, 959, 876, 135, 356, 2], [1, 0, 1, 19, 36, 518, 28, 924, 911, 114, 363, 1], [1, 0, 1, 19, 37, 511, 49, 889, 946, 93, 370, 0], [1, 0, 1, 20, 30, 532, 14, 924, 925, 100, 369, 0], [1, 0, 2, 0, 118, 392, 0, 1288, 365, 512, 214, 24], [1, 0, 2, 0, 119, 385, 21, 1253, 400, 491, 221, 23], [1, 0, 2, 0, 120, 378, 42, 1218, 435, 470, 228, 22], [1, 0, 2, 0, 121, 371, 63, 1183, 470, 449, 235, 21], [1, 0, 2, 0, 122, 364, 84, 1148, 505, 428, 242, 20], [1, 0, 2, 0, 123, 357, 105, 1113, 540, 407, 249, 19], [1, 0, 2, 0, 124, 350, 126, 1078, 575, 386, 256, 18], [1, 0, 2, 0, 125, 343, 147, 1043, 610, 365, 263, 17], [1, 0, 2, 0, 126, 336, 168, 1008, 645, 344, 270, 16], [1, 0, 2, 0, 127, 329, 189, 973, 680, 323, 277, 15], [1, 0, 2, 0, 128, 322, 210, 938, 715, 302, 284, 14], [1, 0, 2, 0, 129, 315, 231, 903, 750, 281, 291, 13], [1, 0, 2, 0, 130, 308, 252, 868, 785, 260, 298, 12], [1, 0, 2, 0, 131, 301, 273, 833, 820, 239, 305, 11], [1, 0, 2, 0, 132, 294, 294, 798, 855, 218, 312, 10], [1, 0, 2, 0, 133, 287, 315, 763, 890, 197, 319, 9], [1, 0, 2, 0, 134, 280, 336, 728, 925, 176, 326, 8], [1, 0, 2, 0, 135, 273, 357, 693, 960, 155, 333, 7], [1, 0, 2, 0, 136, 266, 378, 658, 995, 134, 340, 6], [1, 0, 2, 0, 137, 259, 399, 623, 1030, 113, 347, 5], [1, 0, 2, 0, 138, 252, 420, 588, 1065, 92, 354, 4], [1, 0, 2, 0, 139, 245, 441, 553, 1100, 71, 361, 3], [1, 0, 2, 0, 140, 238, 462, 518, 1135, 50, 368, 2], [1, 0, 2, 0, 141, 231, 483, 483, 1170, 29, 375, 1], [1, 0, 2, 0, 142, 224, 504, 448, 1205, 8, 382, 0], [1, 0, 2, 1, 113, 399, 7, 1253, 414, 477, 227, 22], [1, 0, 2, 1, 114, 392, 28, 1218, 449, 456, 234, 21], [1, 0, 2, 1, 115, 385, 49, 1183, 484, 435, 241, 20], [1, 0, 2, 1, 116, 378, 70, 1148, 519, 414, 248, 19], [1, 0, 2, 1, 117, 371, 91, 1113, 554, 393, 255, 18], [1, 0, 2, 1, 118, 364, 112, 1078, 589, 372, 262, 17], [1, 0, 2, 1, 119, 357, 133, 1043, 624, 351, 269, 16], [1, 0, 2, 1, 120, 350, 154, 1008, 659, 330, 276, 15], [1, 0, 2, 1, 121, 343, 175, 973, 694, 309, 283, 14], [1, 0, 2, 1, 122, 336, 196, 938, 729, 288, 290, 13], [1, 0, 2, 1, 123, 329, 217, 903, 764, 267, 297, 12], [1, 0, 2, 1, 124, 322, 238, 868, 799, 246, 304, 11], [1, 0, 2, 1, 125, 315, 259, 833, 834, 225, 311, 10], [1, 0, 2, 1, 126, 308, 280, 798, 869, 204, 318, 9], [1, 0, 2, 1, 127, 301, 301, 763, 904, 183, 325, 8], [1, 0, 2, 1, 128, 294, 322, 728, 939, 162, 332, 7], [1, 0, 2, 1, 129, 287, 343, 693, 974, 141, 339, 6], [1, 0, 2, 1, 130, 280, 364, 658, 1009, 120, 346, 5], [1, 0, 2, 1, 131, 273, 385, 623, 1044, 99, 353, 4], [1, 0, 2, 1, 132, 266, 406, 588, 1079, 78, 360, 3], [1, 0, 2, 1, 133, 259, 427, 553, 1114, 57, 367, 2], [1, 0, 2, 1, 134, 252, 448, 518, 1149, 36, 374, 1], [1, 0, 2, 1, 135, 245, 469, 483, 1184, 15, 381, 0], [1, 0, 2, 2, 108, 406, 14, 1218, 463, 442, 240, 20], [1, 0, 2, 2, 109, 399, 35, 1183, 498, 421, 247, 19], [1, 0, 2, 2, 110, 392, 56, 1148, 533, 400, 254, 18], [1, 0, 2, 2, 111, 385, 77, 1113, 568, 379, 261, 17], [1, 0, 2, 2, 112, 378, 98, 1078, 603, 358, 268, 16], [1, 0, 2, 2, 113, 371, 119, 1043, 638, 337, 275, 15], [1, 0, 2, 2, 114, 364, 140, 1008, 673, 316, 282, 14], [1, 0, 2, 2, 115, 357, 161, 973, 708, 295, 289, 13], [1, 0, 2, 2, 116, 350, 182, 938, 743, 274, 296, 12], [1, 0, 2, 2, 117, 343, 203, 903, 778, 253, 303, 11], [1, 0, 2, 2, 118, 336, 224, 868, 813, 232, 310, 10], [1, 0, 2, 2, 119, 329, 245, 833, 848, 211, 317, 9], [1, 0, 2, 2, 120, 322, 266, 798, 883, 190, 324, 8], [1, 0, 2, 2, 121, 315, 287, 763, 918, 169, 331, 7], [1, 0, 2, 2, 122, 308, 308, 728, 953, 148, 338, 6], [1, 0, 2, 2, 123, 301, 329, 693, 988, 127, 345, 5], [1, 0, 2, 2, 124, 294, 350, 658, 1023, 106, 352, 4], [1, 0, 2, 2, 125, 287, 371, 623, 1058, 85, 359, 3], [1, 0, 2, 2, 126, 280, 392, 588, 1093, 64, 366, 2], [1, 0, 2, 2, 127, 273, 413, 553, 1128, 43, 373, 1], [1, 0, 2, 2, 128, 266, 434, 518, 1163, 22, 380, 0], [1, 0, 2, 3, 102, 420, 0, 1218, 477, 428, 246, 19], [1, 0, 2, 3, 103, 413, 21, 1183, 512, 407, 253, 18], [1, 0, 2, 3, 104, 406, 42, 1148, 547, 386, 260, 17], [1, 0, 2, 3, 105, 399, 63, 1113, 582, 365, 267, 16], [1, 0, 2, 3, 106, 392, 84, 1078, 617, 344, 274, 15], [1, 0, 2, 3, 107, 385, 105, 1043, 652, 323, 281, 14], [1, 0, 2, 3, 108, 378, 126, 1008, 687, 302, 288, 13], [1, 0, 2, 3, 109, 371, 147, 973, 722, 281, 295, 12], [1, 0, 2, 3, 110, 364, 168, 938, 757, 260, 302, 11], [1, 0, 2, 3, 111, 357, 189, 903, 792, 239, 309, 10], [1, 0, 2, 3, 112, 350, 210, 868, 827, 218, 316, 9], [1, 0, 2, 3, 113, 343, 231, 833, 862, 197, 323, 8], [1, 0, 2, 3, 114, 336, 252, 798, 897, 176, 330, 7], [1, 0, 2, 3, 115, 329, 273, 763, 932, 155, 337, 6], [1, 0, 2, 3, 116, 322, 294, 728, 967, 134, 344, 5], [1, 0, 2, 3, 117, 315, 315, 693, 1002, 113, 351, 4], [1, 0, 2, 3, 118, 308, 336, 658, 1037, 92, 358, 3], [1, 0, 2, 3, 119, 301, 357, 623, 1072, 71, 365, 2], [1, 0, 2, 3, 120, 294, 378, 588, 1107, 50, 372, 1], [1, 0, 2, 3, 121, 287, 399, 553, 1142, 29, 379, 0], [1, 0, 2, 4, 97, 427, 7, 1183, 526, 393, 259, 17], [1, 0, 2, 4, 98, 420, 28, 1148, 561, 372, 266, 16], [1, 0, 2, 4, 99, 413, 49, 1113, 596, 351, 273, 15], [1, 0, 2, 4, 100, 406, 70, 1078, 631, 330, 280, 14], [1, 0, 2, 4, 101, 399, 91, 1043, 666, 309, 287, 13], [1, 0, 2, 4, 102, 392, 112, 1008, 701, 288, 294, 12], [1, 0, 2, 4, 103, 385, 133, 973, 736, 267, 301, 11], [1, 0, 2, 4, 104, 378, 154, 938, 771, 246, 308, 10], [1, 0, 2, 4, 105, 371, 175, 903, 806, 225, 315, 9], [1, 0, 2, 4, 106, 364, 196, 868, 841, 204, 322, 8], [1, 0, 2, 4, 107, 357, 217, 833, 876, 183, 329, 7], [1, 0, 2, 4, 108, 350, 238, 798, 911, 162, 336, 6], [1, 0, 2, 4, 109, 343, 259, 763, 946, 141, 343, 5], [1, 0, 2, 4, 110, 336, 280, 728, 981, 120, 350, 4], [1, 0, 2, 4, 111, 329, 301, 693, 1016, 99, 357, 3], [1, 0, 2, 4, 112, 322, 322, 658, 1051, 78, 364, 2], [1, 0, 2, 4, 113, 315, 343, 623, 1086, 57, 371, 1], [1, 0, 2, 4, 114, 308, 364, 588, 1121, 36, 378, 0], [1, 0, 2, 5, 92, 434, 14, 1148, 575, 358, 272, 15], [1, 0, 2, 5, 93, 427, 35, 1113, 610, 337, 279, 14], [1, 0, 2, 5, 94, 420, 56, 1078, 645, 316, 286, 13], [1, 0, 2, 5, 95, 413, 77, 1043, 680, 295, 293, 12], [1, 0, 2, 5, 96, 406, 98, 1008, 715, 274, 300, 11], [1, 0, 2, 5, 97, 399, 119, 973, 750, 253, 307, 10], [1, 0, 2, 5, 98, 392, 140, 938, 785, 232, 314, 9], [1, 0, 2, 5, 99, 385, 161, 903, 820, 211, 321, 8], [1, 0, 2, 5, 100, 378, 182, 868, 855, 190, 328, 7], [1, 0, 2, 5, 101, 371, 203, 833, 890, 169, 335, 6], [1, 0, 2, 5, 102, 364, 224, 798, 925, 148, 342, 5], [1, 0, 2, 5, 103, 357, 245, 763, 960, 127, 349, 4], [1, 0, 2, 5, 104, 350, 266, 728, 995, 106, 356, 3], [1, 0, 2, 5, 105, 343, 287, 693, 1030, 85, 363, 2], [1, 0, 2, 5, 106, 336, 308, 658, 1065, 64, 370, 1], [1, 0, 2, 5, 107, 329, 329, 623, 1100, 43, 377, 0], [1, 0, 2, 6, 86, 448, 0, 1148, 589, 344, 278, 14], [1, 0, 2, 6, 87, 441, 21, 1113, 624, 323, 285, 13], [1, 0, 2, 6, 88, 434, 42, 1078, 659, 302, 292, 12], [1, 0, 2, 6, 89, 427, 63, 1043, 694, 281, 299, 11], [1, 0, 2, 6, 90, 420, 84, 1008, 729, 260, 306, 10], [1, 0, 2, 6, 91, 413, 105, 973, 764, 239, 313, 9], [1, 0, 2, 6, 92, 406, 126, 938, 799, 218, 320, 8], [1, 0, 2, 6, 93, 399, 147, 903, 834, 197, 327, 7], [1, 0, 2, 6, 94, 392, 168, 868, 869, 176, 334, 6], [1, 0, 2, 6, 95, 385, 189, 833, 904, 155, 341, 5], [1, 0, 2, 6, 96, 378, 210, 798, 939, 134, 348, 4], [1, 0, 2, 6, 97, 371, 231, 763, 974, 113, 355, 3], [1, 0, 2, 6, 98, 364, 252, 728, 1009, 92, 362, 2], [1, 0, 2, 6, 99, 357, 273, 693, 1044, 71, 369, 1], [1, 0, 2, 6, 100, 350, 294, 658, 1079, 50, 376, 0], [1, 0, 2, 7, 81, 455, 7, 1113, 638, 309, 291, 12], [1, 0, 2, 7, 82, 448, 28, 1078, 673, 288, 298, 11], [1, 0, 2, 7, 83, 441, 49, 1043, 708, 267, 305, 10], [1, 0, 2, 7, 84, 434, 70, 1008, 743, 246, 312, 9], [1, 0, 2, 7, 85, 427, 91, 973, 778, 225, 319, 8], [1, 0, 2, 7, 86, 420, 112, 938, 813, 204, 326, 7], [1, 0, 2, 7, 87, 413, 133, 903, 848, 183, 333, 6], [1, 0, 2, 7, 88, 406, 154, 868, 883, 162, 340, 5], [1, 0, 2, 7, 89, 399, 175, 833, 918, 141, 347, 4], [1, 0, 2, 7, 90, 392, 196, 798, 953, 120, 354, 3], [1, 0, 2, 7, 91, 385, 217, 763, 988, 99, 361, 2], [1, 0, 2, 7, 92, 378, 238, 728, 1023, 78, 368, 1], [1, 0, 2, 7, 93, 371, 259, 693, 1058, 57, 375, 0], [1, 0, 2, 8, 76, 462, 14, 1078, 687, 274, 304, 10], [1, 0, 2, 8, 77, 455, 35, 1043, 722, 253, 311, 9], [1, 0, 2, 8, 78, 448, 56, 1008, 757, 232, 318, 8], [1, 0, 2, 8, 79, 441, 77, 973, 792, 211, 325, 7], [1, 0, 2, 8, 80, 434, 98, 938, 827, 190, 332, 6], [1, 0, 2, 8, 81, 427, 119, 903, 862, 169, 339, 5], [1, 0, 2, 8, 82, 420, 140, 868, 897, 148, 346, 4], [1, 0, 2, 8, 83, 413, 161, 833, 932, 127, 353, 3], [1, 0, 2, 8, 84, 406, 182, 798, 967, 106, 360, 2], [1, 0, 2, 8, 85, 399, 203, 763, 1002, 85, 367, 1], [1, 0, 2, 8, 86, 392, 224, 728, 1037, 64, 374, 0], [1, 0, 2, 9, 70, 476, 0, 1078, 701, 260, 310, 9], [1, 0, 2, 9, 71, 469, 21, 1043, 736, 239, 317, 8], [1, 0, 2, 9, 72, 462, 42, 1008, 771, 218, 324, 7], [1, 0, 2, 9, 73, 455, 63, 973, 806, 197, 331, 6], [1, 0, 2, 9, 74, 448, 84, 938, 841, 176, 338, 5], [1, 0, 2, 9, 75, 441, 105, 903, 876, 155, 345, 4], [1, 0, 2, 9, 76, 434, 126, 868, 911, 134, 352, 3], [1, 0, 2, 9, 77, 427, 147, 833, 946, 113, 359, 2], [1, 0, 2, 9, 78, 420, 168, 798, 981, 92, 366, 1], [1, 0, 2, 9, 79, 413, 189, 763, 1016, 71, 373, 0], [1, 0, 2, 10, 65, 483, 7, 1043, 750, 225, 323, 7], [1, 0, 2, 10, 66, 476, 28, 1008, 785, 204, 330, 6], [1, 0, 2, 10, 67, 469, 49, 973, 820, 183, 337, 5], [1, 0, 2, 10, 68, 462, 70, 938, 855, 162, 344, 4], [1, 0, 2, 10, 69, 455, 91, 903, 890, 141, 351, 3], [1, 0, 2, 10, 70, 448, 112, 868, 925, 120, 358, 2], [1, 0, 2, 10, 71, 441, 133, 833, 960, 99, 365, 1], [1, 0, 2, 10, 72, 434, 154, 798, 995, 78, 372, 0], [1, 0, 2, 11, 60, 490, 14, 1008, 799, 190, 336, 5], [1, 0, 2, 11, 61, 483, 35, 973, 834, 169, 343, 4], [1, 0, 2, 11, 62, 476, 56, 938, 869, 148, 350, 3], [1, 0, 2, 11, 63, 469, 77, 903, 904, 127, 357, 2], [1, 0, 2, 11, 64, 462, 98, 868, 939, 106, 364, 1], [1, 0, 2, 11, 65, 455, 119, 833, 974, 85, 371, 0], [1, 0, 2, 12, 54, 504, 0, 1008, 813, 176, 342, 4], [1, 0, 2, 12, 55, 497, 21, 973, 848, 155, 349, 3], [1, 0, 2, 12, 56, 490, 42, 938, 883, 134, 356, 2], [1, 0, 2, 12, 57, 483, 63, 903, 918, 113, 363, 1], [1, 0, 2, 12, 58, 476, 84, 868, 953, 92, 370, 0], [1, 0, 2, 13, 49, 511, 7, 973, 862, 141, 355, 2], [1, 0, 2, 13, 50, 504, 28, 938, 897, 120, 362, 1], [1, 0, 2, 13, 51, 497, 49, 903, 932, 99, 369, 0], [1, 0, 2, 14, 44, 518, 14, 938, 911, 106, 368, 0], [1, 0, 3, 0, 100, 434, 0, 1162, 575, 350, 277, 14], [1, 0, 3, 0, 101, 427, 21, 1127, 610, 329, 284, 13], [1, 0, 3, 0, 102, 420, 42, 1092, 645, 308, 291, 12], [1, 0, 3, 0, 103, 413, 63, 1057, 680, 287, 298, 11], [1, 0, 3, 0, 104, 406, 84, 1022, 715, 266, 305, 10], [1, 0, 3, 0, 105, 399, 105, 987, 750, 245, 312, 9], [1, 0, 3, 0, 106, 392, 126, 952, 785, 224, 319, 8], [1, 0, 3, 0, 107, 385, 147, 917, 820, 203, 326, 7], [1, 0, 3, 0, 108, 378, 168, 882, 855, 182, 333, 6], [1, 0, 3, 0, 109, 371, 189, 847, 890, 161, 340, 5], [1, 0, 3, 0, 110, 364, 210, 812, 925, 140, 347, 4], [1, 0, 3, 0, 111, 357, 231, 777, 960, 119, 354, 3], [1, 0, 3, 0, 112, 350, 252, 742, 995, 98, 361, 2], [1, 0, 3, 0, 113, 343, 273, 707, 1030, 77, 368, 1], [1, 0, 3, 0, 114, 336, 294, 672, 1065, 56, 375, 0], [1, 0, 3, 1, 95, 441, 7, 1127, 624, 315, 290, 12], [1, 0, 3, 1, 96, 434, 28, 1092, 659, 294, 297, 11], [1, 0, 3, 1, 97, 427, 49, 1057, 694, 273, 304, 10], [1, 0, 3, 1, 98, 420, 70, 1022, 729, 252, 311, 9], [1, 0, 3, 1, 99, 413, 91, 987, 764, 231, 318, 8], [1, 0, 3, 1, 100, 406, 112, 952, 799, 210, 325, 7], [1, 0, 3, 1, 101, 399, 133, 917, 834, 189, 332, 6], [1, 0, 3, 1, 102, 392, 154, 882, 869, 168, 339, 5], [1, 0, 3, 1, 103, 385, 175, 847, 904, 147, 346, 4], [1, 0, 3, 1, 104, 378, 196, 812, 939, 126, 353, 3], [1, 0, 3, 1, 105, 371, 217, 777, 974, 105, 360, 2], [1, 0, 3, 1, 106, 364, 238, 742, 1009, 84, 367, 1], [1, 0, 3, 1, 107, 357, 259, 707, 1044, 63, 374, 0], [1, 0, 3, 2, 90, 448, 14, 1092, 673, 280, 303, 10], [1, 0, 3, 2, 91, 441, 35, 1057, 708, 259, 310, 9], [1, 0, 3, 2, 92, 434, 56, 1022, 743, 238, 317, 8], [1, 0, 3, 2, 93, 427, 77, 987, 778, 217, 324, 7], [1, 0, 3, 2, 94, 420, 98, 952, 813, 196, 331, 6], [1, 0, 3, 2, 95, 413, 119, 917, 848, 175, 338, 5], [1, 0, 3, 2, 96, 406, 140, 882, 883, 154, 345, 4], [1, 0, 3, 2, 97, 399, 161, 847, 918, 133, 352, 3], [1, 0, 3, 2, 98, 392, 182, 812, 953, 112, 359, 2], [1, 0, 3, 2, 99, 385, 203, 777, 988, 91, 366, 1], [1, 0, 3, 2, 100, 378, 224, 742, 1023, 70, 373, 0], [1, 0, 3, 3, 84, 462, 0, 1092, 687, 266, 309, 9], [1, 0, 3, 3, 85, 455, 21, 1057, 722, 245, 316, 8], [1, 0, 3, 3, 86, 448, 42, 1022, 757, 224, 323, 7], [1, 0, 3, 3, 87, 441, 63, 987, 792, 203, 330, 6], [1, 0, 3, 3, 88, 434, 84, 952, 827, 182, 337, 5], [1, 0, 3, 3, 89, 427, 105, 917, 862, 161, 344, 4], [1, 0, 3, 3, 90, 420, 126, 882, 897, 140, 351, 3], [1, 0, 3, 3, 91, 413, 147, 847, 932, 119, 358, 2], [1, 0, 3, 3, 92, 406, 168, 812, 967, 98, 365, 1], [1, 0, 3, 3, 93, 399, 189, 777, 1002, 77, 372, 0], [1, 0, 3, 4, 79, 469, 7, 1057, 736, 231, 322, 7], [1, 0, 3, 4, 80, 462, 28, 1022, 771, 210, 329, 6], [1, 0, 3, 4, 81, 455, 49, 987, 806, 189, 336, 5], [1, 0, 3, 4, 82, 448, 70, 952, 841, 168, 343, 4], [1, 0, 3, 4, 83, 441, 91, 917, 876, 147, 350, 3], [1, 0, 3, 4, 84, 434, 112, 882, 911, 126, 357, 2], [1, 0, 3, 4, 85, 427, 133, 847, 946, 105, 364, 1], [1, 0, 3, 4, 86, 420, 154, 812, 981, 84, 371, 0], [1, 0, 3, 5, 74, 476, 14, 1022, 785, 196, 335, 5], [1, 0, 3, 5, 75, 469, 35, 987, 820, 175, 342, 4], [1, 0, 3, 5, 76, 462, 56, 952, 855, 154, 349, 3], [1, 0, 3, 5, 77, 455, 77, 917, 890, 133, 356, 2], [1, 0, 3, 5, 78, 448, 98, 882, 925, 112, 363, 1], [1, 0, 3, 5, 79, 441, 119, 847, 960, 91, 370, 0], [1, 0, 3, 6, 68, 490, 0, 1022, 799, 182, 341, 4], [1, 0, 3, 6, 69, 483, 21, 987, 834, 161, 348, 3], [1, 0, 3, 6, 70, 476, 42, 952, 869, 140, 355, 2], [1, 0, 3, 6, 71, 469, 63, 917, 904, 119, 362, 1], [1, 0, 3, 6, 72, 462, 84, 882, 939, 98, 369, 0], [1, 0, 3, 7, 63, 497, 7, 987, 848, 147, 354, 2], [1, 0, 3, 7, 64, 490, 28, 952, 883, 126, 361, 1], [1, 0, 3, 7, 65, 483, 49, 917, 918, 105, 368, 0], [1, 0, 3, 8, 58, 504, 14, 952, 897, 112, 367, 0], [1, 0, 4, 0, 82, 476, 0, 1036, 785, 188, 340, 4], [1, 0, 4, 0, 83, 469, 21, 1001, 820, 167, 347, 3], [1, 0, 4, 0, 84, 462, 42, 966, 855, 146, 354, 2], [1, 0, 4, 0, 85, 455, 63, 931, 890, 125, 361, 1], [1, 0, 4, 0, 86, 448, 84, 896, 925, 104, 368, 0], [1, 0, 4, 1, 77, 483, 7, 1001, 834, 153, 353, 2], [1, 0, 4, 1, 78, 476, 28, 966, 869, 132, 360, 1], [1, 0, 4, 1, 79, 469, 49, 931, 904, 111, 367, 0], [1, 0, 4, 2, 72, 490, 14, 966, 883, 118, 366, 0], [1, 1, 0, 0, 106, 434, 0, 1120, 665, 269, 312, 8], [1, 1, 0, 0, 107, 427, 21, 1085, 700, 248, 319, 7], [1, 1, 0, 0, 108, 420, 42, 1050, 735, 227, 326, 6], [1, 1, 0, 0, 109, 413, 63, 1015, 770, 206, 333, 5], [1, 1, 0, 0, 110, 406, 84, 980, 805, 185, 340, 4], [1, 1, 0, 0, 111, 399, 105, 945, 840, 164, 347, 3], [1, 1, 0, 0, 112, 392, 126, 910, 875, 143, 354, 2], [1, 1, 0, 0, 113, 385, 147, 875, 910, 122, 361, 1], [1, 1, 0, 0, 114, 378, 168, 840, 945, 101, 368, 0], [1, 1, 0, 1, 101, 441, 7, 1085, 714, 234, 325, 6], [1, 1, 0, 1, 102, 434, 28, 1050, 749, 213, 332, 5], [1, 1, 0, 1, 103, 427, 49, 1015, 784, 192, 339, 4], [1, 1, 0, 1, 104, 420, 70, 980, 819, 171, 346, 3], [1, 1, 0, 1, 105, 413, 91, 945, 854, 150, 353, 2], [1, 1, 0, 1, 106, 406, 112, 910, 889, 129, 360, 1], [1, 1, 0, 1, 107, 399, 133, 875, 924, 108, 367, 0], [1, 1, 0, 2, 96, 448, 14, 1050, 763, 199, 338, 4], [1, 1, 0, 2, 97, 441, 35, 1015, 798, 178, 345, 3], [1, 1, 0, 2, 98, 434, 56, 980, 833, 157, 352, 2], [1, 1, 0, 2, 99, 427, 77, 945, 868, 136, 359, 1], [1, 1, 0, 2, 100, 420, 98, 910, 903, 115, 366, 0], [1, 1, 0, 3, 90, 462, 0, 1050, 777, 185, 344, 3], [1, 1, 0, 3, 91, 455, 21, 1015, 812, 164, 351, 2], [1, 1, 0, 3, 92, 448, 42, 980, 847, 143, 358, 1], [1, 1, 0, 3, 93, 441, 63, 945, 882, 122, 365, 0], [1, 1, 0, 4, 85, 469, 7, 1015, 826, 150, 357, 1], [1, 1, 0, 4, 86, 462, 28, 980, 861, 129, 364, 0]}