SmallDoge/decay_dataset · Datasets at Hugging Face

input_ids sequencelengths 6 2.05k	attention_mask sequencelengths 6 2.05k
[ 0, 1607, 7317, 1982, 568, 513, 1187, 543, 11295, 3992, 1390, 585, 1053, 6502, 476, 274, 268, 278, 1296, 2025, 2519, 593, 519, 1739, 3853, 912, 268, 29130, 519, 1523, 540, 1216, 3106, 454, 268, 3447, 622, 519, 1453, 827, 519, 2956, 540, 1216, 3106, 454, 268, 6435, 519, 1453, 1451, 3106, 2409, 543, 2057, 1761, 12178, 538, 543, 1472, 519, 1216, 454, 268, 3447, 622, 1453, 827, 2081, 547, 6023, 1216, 6433, 3871, 454, 268, 3629, 2326, 543, 1344, 547, 519, 1453, 538, 606, 4674, 547, 2061, 1216, 1644, 10913, 454, 290, 514, 1723, 1546, 25832, 7731, 7926, 11812, 269, 27207, 267, 2984, 267, 7544, 2773, 676, 834, 7775, 326, 1638, 334, 11204, 334, 2437, 543, 513, 8930, 1092, 3544, 1310, 519, 2680, 2336, 18794, 519, 7732, 543, 824, 18718, 6229, 7991, 2516, 607, 649, 8661, 519, 15713, 540, 18718, 6229, 1282, 519, 2334, 4303, 538, 2904, 3474, 1228, 799, 5956, 693, 32599, 1721, 25376, 4582, 731, 2282, 22548, 13860, 543, 9843, 3345, 4724, 519, 4400, 3427, 563, 16729, 519, 31959, 267, 1265, 519, 7732, 1630, 1054, 693, 519, 1286, 333, 2526, 6438, 11812, 689, 29869, 547, 476, 275, 533, 6230, 269, 593, 32599, 1721, 25376, 4582, 731, 267, 1063, 667, 749, 6229, 543, 15053, 534, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 2979, 454, 343, 815, 703, 9272, 2891, 11767, 513, 1297, 2433, 27328, 344, 815, 1535, 4939, 476, 1015, 454, 2745, 2891, 8310, 7857, 540, 2016, 1297, 568, 2433, 14307, 344, 994, 258, 5084, 309, 23814, 25663, 28513, 4534, 3097, 11415, 318, 935, 3200, 815, 1193, 3287, 994, 26319, 815, 7003, 30415, 318, 935, 3200, 2020, 604, 10857, 2654, 4939, 476, 273, 2652, 476, 271, 2187, 825, 1820, 8987, 272, 994, 12828, 912, 825, 11667, 815, 703, 9230, 343, 12262, 2979, 4877, 578, 263, 1015, 267, 3259, 12262, 476, 273, 30727, 4939, 476, 1015, 3248, 825, 1820, 263, 4364, 1014, 994, 8931 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5319, 762, 4334, 4528, 692, 258, 570, 12460, 9288, 18248, 692, 1012, 1215, 547, 25506, 1520, 329, 8809, 4675, 11915, 27449, 692, 1103, 5562, 454, 4517, 4319, 10557, 454, 19688, 476, 5400, 267, 476, 1708, 272, 692, 1103, 9511, 267, 649, 2285, 1114, 4408, 547, 1114, 2010, 540, 7285, 4470, 593, 519, 2268, 540, 519, 2016, 5086, 281, 1318, 7285, 267, 11105, 24045, 7285, 267, 7299, 7285, 269, 1809, 875, 798, 649, 917, 799, 568, 799, 2496, 2252, 519, 2268, 540, 519, 5086, 568, 4010, 476, 3445, 5232, 267, 621, 779, 1634, 607, 513, 1318, 5086, 269, 1403, 606, 5086, 568, 1447, 982, 476, 3445, 5232, 267, 621, 779, 606, 8650, 5086, 269, 1323, 5086, 3152, 982, 476, 3445, 5232, 568, 606, 1073, 339, 2224, 5086, 269, 1403, 519, 2268, 540, 606, 5086, 568, 3160, 547, 476, 5197, 5232, 267, 621, 779, 1634, 607, 513, 2786, 5086, 780, 2467, 616, 849, 4408, 2016, 547, 8424, 540, 7285, 780, 309, 1068, 673, 7285, 267, 610, 6587, 7285, 267, 616, 519, 1079, 7285, 2047, 6587, 1142, 824, 950, 1079, 2786, 3515, 3444, 630, 8201, 476, 272, 6393, 4467, 921, 29232, 7285, 616, 1079, 7285, 602, 1039, 547, 476, 3445, 5232, 630, 8201, 476, 273, 6393, 11045, 11915, 7285, 616, 1079, 7285, 602, 1039, 909, 547, 476, 5197, 5232, 630, 8201, 476, 274, 6393, 17951, 956, 616, 11105, 950, 789, 2671, 513, 1455, 2427, 543, 513, 1455, 14584, 780, 17951, 956, 476, 272, 543, 476, 273, 616, 1875, 29951, 8809, 267, 1247, 7285, 476, 274, 543, 476, 275, 616, 2443, 789, 2671, 513, 1455, 2427, 543, 14584, 780, 3086, 602, 649, 1174, 519, 8847, 540, 11105, 543, 1875, 29951, 8809, 7285, 267, 649, 666, 1294, 602, 11105, 24045, 7285, 616, 1079, 7285, 602, 2671, 513, 2427, 543, 14584, 543, 1039, 909, 547, 476, 5197, 5232, 780, 8794, 713, 4214, 267, 1413, 693, 519, 6516, 2630, 547, 1294, 799, 7285, 616, 11105, 24045, 780, 17951, 956, 13235, 543, 9474, 291, 616, 11105, 1317, 789, 2671, 1899, 10126, 9474, 543, 14584, 645, 780, 17951, 956, 31246, 294, 543, 31254, 297, 616, 711, 11105, 1317, 789, 1810, 1406, 2671, 1022, 1455, 2427, 780, 4913, 267, 519, 5086, 3800, 538, 1312, 8424, 540, 24045, 7285, 630, 27398, 543, 9474, 291, 267, 543, 31246, 294, 543, 31254, 297, 264, 1869, 3160, 476, 5197, 5232, 780, 2414, 2689, 267, 602, 1797, 31246, 294, 543, 31254, 297, 616, 24045, 7285, 269, 1717, 267, 1152, 13235, 543, 9474, 291, 616, 11105, 24045, 7285, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 875, 798, 596, 946, 519, 14036, 693, 512, 23147, 11350, 888, 271, 269, 5671, 14794, 621, 593, 707, 1426, 563, 272, 269, 16702, 707, 1426, 538, 621, 563, 12585, 281, 476, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 26286, 476, 543, 7504, 2773, 1411, 666, 1294, 519, 15265, 27683, 543, 9543, 9640, 693, 674, 15120, 17924, 25089, 269, 5901, 2476, 689, 519, 27683, 1547, 6884, 789, 5749, 1405, 7874, 2614, 1547, 2791, 666, 11878, 519, 7504, 543, 1491, 6337, 1547, 5384, 2433, 15037, 1547, 272, 734, 15037, 1547, 274, 1363, 20052, 2433, 476, 9262, 274, 25090, 6924, 16989, 2433, 567, 476, 2568, 312, 284, 23526, 4132, 2433, 567, 476, 1789, 312, 284, 19594, 543, 17794, 2773, 1411, 666, 1294, 3170, 3109, 12217, 543, 17559, 476, 21495, 693, 4258, 978, 706, 25089, 269, 476, 1358, 786, 1685, 1082, 2238, 269, 1403, 596, 616, 711, 12703, 2614, 2073, 596, 12582, 1405, 2097, 547, 1294, 873, 1547, 630, 18244, 896, 476, 277, 5749, 1405, 4847, 547, 2097, 3738, 5384, 6902, 15037, 269, 476, 273, 9041, 476, 955, 15037, 1547, 476, 276, 567, 20052, 2433, 476, 5952, 279, 280, 3583, 6246, 16989, 2433, 962, 284, 2004, 25639, 4132, 2433, 312, 284, 1839, 667, 20462, 514, 2773, 1411, 666, 1294, 17681, 23522, 693, 667, 6501, 25089, 1547, 634, 23522, 786, 7914, 856, 540, 519, 1216, 543, 2285, 596, 513, 2773, 1547, 1403, 596, 666, 7669, 2073, 596, 616, 849, 4847, 547, 2097, 883, 519, 1216, 543, 1404, 609, 873, 609, 519, 948, 540, 519, 30157, 1547, 5384, 2433, 4924, 1547, 275, 9041, 4924, 269, 279, 8587, 20052, 281, 476, 279, 4029, 18605, 11463, 16989, 2433, 312, 284, 3199, 17264, 4132, 2433, 312, 284, 275, 334, 2073, 269, 6904, 540, 519, 1739, 568, 10691, 476, 3020, 15017, 271, 269, 634, 3902, 540, 519, 7703, 543, 17794, 2773, 568, 519, 9803, 540, 519, 1614, 2676, 272, 269, 1403, 596, 1616, 547, 917, 827, 3979, 2831, 2073, 9767, 666, 979, 547, 4258, 978, 706, 23291, 563, 273, 269, 15651, 670, 7699, 666, 1294, 1614, 5686, 540, 3662, 2773, 593, 4924, 269, 278, 563, 274, 269, 570, 6865, 568, 1614, 1296, 2025, 2073, 865, 646, 666, 1405, 979, 547, 1294, 519, 20259, 543, 7504, 2773, 4586, 12585, 281, 476, 274 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 333, 423, 366, 486, 424, 356, 372, 14091, 361, 372, 28990, 494, 10563, 370, 506, 423, 510, 354, 454, 268, 10563, 486, 360, 28990, 494, 562, 422, 367, 376, 14091, 361, 372, 28990, 494, 29306, 368, 476, 17432, 502, 423, 480, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 454, 268, 14091, 361, 372, 28990, 494, 29306, 368, 14602, 502, 562, 423, 366, 486, 424, 356, 372, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 370, 506, 423, 510, 354, 3097, 20701, 3240, 21803, 815, 3403, 2891, 423, 361, 372, 28990, 494, 29306, 368, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 19515, 333, 815, 703, 9272, 2891, 424, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 834, 11723, 2745, 30044, 21803, 19559, 8079 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 5493, 30308, 16216, 17107, 14851, 1826, 16216, 264, 11203, 1193, 912, 453, 16596, 8771, 454, 28432, 281, 28768, 453, 453, 324, 815, 552, 18622, 2897, 2891, 14307, 834, 5602, 453, 14851, 7003, 16216, 264, 10922, 476, 271, 912, 4848, 16596, 8771, 454, 453, 28432, 281, 28768, 4848, 14851, 1193, 31573, 16216, 264, 2652, 1193, 31573, 16216, 264, 11468, 18737, 272, 14158, 15235, 16596, 6936, 454, 4848, 28432, 912, 15235, 16596, 8771, 7531, 258, 769, 713, 5044, 649, 5581, 519, 2418, 602, 649, 1616, 547, 946, 538, 938, 1599, 454, 11907, 13729, 815, 1496, 274, 267, 476, 273, 269, 274, 10086, 825, 1412, 10086, 15886, 12887, 7176, 12887, 2207, 324, 256, 324, 3918, 12887, 3725, 256, 324, 3918, 12887, 26008, 12887, 8627, 257, 256, 12887, 332, 636, 12887, 22861, 12887, 338, 558, 657, 522, 1100, 1474, 657, 12887, 338, 558, 657, 1100, 1474, 657, 12887, 306, 558, 657, 522, 1100, 865, 300, 657, 12887, 306, 558, 657, 12971, 1474, 657, 12887, 2230, 12887, 11898, 1412, 10086, 324, 274, 324, 287, 324, 274, 324, 12887, 324, 274, 324, 287, 2465, 12887, 1321, 270, 1556, 270, 2641, 12887, 6349, 270, 6349, 270, 1708, 271, 262, 6540, 454, 1721, 552, 538, 1239, 13729, 281, 3097, 453, 258, 1403, 519, 3693, 540, 519, 1239, 1305, 621, 781, 513, 5493, 30308, 713, 1599, 786, 1820, 6936, 952, 621, 781, 711, 267, 713, 1599, 786, 1820, 8771, 692, 13537, 9638, 531, 30308, 16216, 4297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18411, 32046, 593, 9484, 476, 1789, 267, 476, 1001, 275, 692, 287, 10461, 281, 546, 338, 3766, 320, 268, 1911, 278, 454, 18411, 3698, 1292, 10031, 825, 1101, 12173, 284, 3863, 17750, 2891, 11767, 707, 1101, 2012, 281, 19515, 825, 2063, 12173, 284, 3863, 17750, 2891, 11767, 707, 2063, 2012, 281, 19515, 825, 1820, 834, 11767, 707, 4266, 540, 4332, 281, 27029, 825, 3923, 284, 3863, 17750, 2891, 12507, 628, 286, 19515, 825, 1554, 284, 3863, 17750, 2891, 21196, 286, 19515, 825, 1032, 284, 3863, 17750, 2891, 17413, 286, 19515, 825, 1820, 1101, 12173, 266, 257, 834, 266, 18431, 12173, 266, 257, 834, 266, 257, 13195, 4535, 593, 834, 266, 24629, 266, 257, 834, 266, 1598, 263, 1485, 11924, 14824, 266, 1598, 12169, 792, 11924, 257, 4799, 8931, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 29329, 10789, 630, 277, 628, 9990, 2020, 259, 1626, 343, 317, 273, 266, 279, 343, 345, 266, 345, 317, 273, 14204, 8794, 519, 4009, 540, 513, 23481, 267, 18159, 320, 17070, 8203, 273, 30381, 317, 273, 266, 273, 5416, 7565, 321, 11924, 321, 317, 273, 8961, 519, 2016, 4082, 568, 6697, 547, 1422, 8218, 9387, 15857, 1299, 630, 275, 343, 266, 345, 8203, 273, 8607, 11138, 261, 630, 275, 343, 8203, 273, 266, 273, 263, 275, 343, 7565, 345, 11924, 263, 345, 8203, 273, 8607, 11138, 261, 476, 1626, 343, 317, 273, 266, 279, 343, 345, 266, 345, 317, 273, 1547, 315, 754, 9387, 15857 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 2776, 20412, 639, 630, 277, 628, 9990, 2020, 7445, 7562, 476, 736, 14204, 7445, 6912, 11513, 13320, 2715, 272, 10559, 6523, 476, 2412, 2410, 273, 3686, 7807, 6912, 11513, 13320, 2715, 272, 10559, 6523, 1422, 3847, 263, 476, 273, 24585, 476, 736, 9368, 264, 25452, 273, 3686, 7807, 6912, 11513, 13320, 2715, 272, 10559, 3847, 263, 1422, 6523, 476, 3867, 273, 348, 736, 10559, 7562, 476, 3867, 273, 348, 736, 9368, 264, 25452, 273, 3686, 7807, 6912, 11513, 13320, 2715, 273, 315, 7562, 476, 3867, 273, 348, 736, 2410, 273, 3686, 7807, 7562, 476, 736, 259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1215, 1082, 15956, 616, 593, 513, 630, 20598, 476, 272, 268, 277, 264, 5884, 888, 12585, 281, 26062, 14633, 454, 2704, 328, 1162, 281, 8938, 14633, 267, 476, 2641, 267, 26062, 14633 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 417, 354, 354, 12255, 18263, 489, 14395, 370, 13127, 354, 354, 12255, 18777, 374, 417, 507, 505, 22614, 362, 478, 419, 509, 511, 419, 499, 503, 420, 357, 478, 454, 1923, 28859, 355, 500, 421, 350, 369, 1923, 22614, 360, 508, 420, 369, 505, 27962, 419, 374, 366, 1923, 476, 25263, 502, 26175, 478, 31176, 491, 20001, 486, 1923, 476, 25335, 484, 30903, 495, 418, 493, 494, 419, 353, 374, 1923, 476, 4970, 497, 30903, 502, 18777, 366, 18021, 356, 1923, 476, 18777, 374, 24757, 421, 498, 355, 421, 505, 484, 1923, 476, 14756, 376, 12571, 486, 18777, 511, 14756, 481, 1923, 476, 32517, 362, 420, 374, 360, 10429, 375, 26233, 356, 1923, 13127, 362, 370, 10533, 503, 23946, 367, 9463, 364, 1923, 13127, 354, 354, 12255, 18777, 374, 417, 507, 505, 11406, 634, 476, 4029, 560, 2136, 2276, 540, 3013, 9119, 10493, 328, 611, 476, 1220, 273, 23946, 368, 21588, 361, 4029, 31271, 488, 419, 378, 492, 18713, 30936, 27730, 417, 354, 354, 22909, 501, 25060, 373, 10429, 489, 589, 272, 269, 7987, 478, 4131, 590, 581, 513, 1305, 609, 476, 1220, 273, 2609, 543, 623, 519, 1305, 540, 782, 922, 29162, 269, 28171, 602, 585, 1022, 562, 630, 514, 519, 2039, 689, 4642, 547, 1923, 303, 347, 264, 649, 666, 2681, 562, 2609, 540, 623, 3043, 267, 543, 519, 1964, 3109, 267, 865, 602, 519, 9769, 540, 1022, 1079, 2609, 540, 623, 609, 519, 1482, 2681, 814, 519, 1482, 2681, 269, 589, 273, 269, 7987, 478, 763, 6906, 13235, 25389, 519, 6935, 28422, 273, 288, 270, 273, 1341, 476, 275, 28422, 273, 289, 270, 273, 1341, 476, 280, 28422, 273, 290, 270, 273, 815, 476, 280, 5416, 17070, 25239, 264, 273, 14370, 5392, 337, 273, 1070, 1141, 678, 568, 519, 8953, 540, 519, 1651, 22511, 630, 663, 513, 815, 1923, 6195, 347, 3092, 267, 607, 8912, 1040, 8058, 602, 13235, 568, 2147, 547, 513, 6906, 4171, 5011, 616, 9981, 543, 1265, 519, 10545, 1305, 540, 971, 9981, 269, 589, 274, 269, 7987, 478, 335, 3287, 264, 568, 513, 9971, 540, 4110, 562, 609, 1483, 14170, 543, 3056, 11664, 476, 272, 269, 8058, 602, 649, 666, 1265, 1079, 21335, 7117, 3287, 264, 543, 678, 3287, 264, 799, 1312, 723, 4110, 562, 267, 782, 5072, 1483, 543, 3056, 11664, 476, 272, 267, 971, 602, 533, 3287, 264, 815, 7117, 3287, 8358, 273, 1341, 678, 3287, 8358, 273, 269, 645, 272, 269, 7987, 478, 8340, 782, 1483, 29705, 4240, 3252, 535, 593, 519, 556, 1023, 971, 602, 535, 3287, 273, 910, 586, 273, 264, 815, 1535, 535, 3287, 264, 910, 586, 535, 12169, 264, 585, 782, 1535, 267, 586, 269, 645, 273, 269, 7987, 478, 17004, 602, 649, 666, 3095, 1022, 1079, 9981, 544, 267, 562, 3152, 982, 476, 273, 676, 513, 5832, 540, 2318, 9981, 544, 815, 513, 272, 267, 513, 273, 267, 3267, 2073, 513, 330, 266, 272, 815, 562, 267, 865, 602, 519, 1587, 540, 1022, 1079, 15654, 2818, 540, 519, 5832, 568, 16883, 676, 741, 2040, 269, 1496, 2690, 1383, 267, 476, 278, 267, 476, 5655, 267, 476, 2641, 267, 476, 2764, 267, 476, 3583, 267, 476, 1789, 267, 476, 277, 267, 476, 274, 6402, 476, 278, 543, 476, 274, 20426, 645, 274, 269, 7987, 478, 288, 512, 668, 3626, 568, 513, 476, 272, 1535, 476, 274, 13551, 269, 570, 668, 3626, 525, 616, 5116, 593, 606, 562, 1535, 562, 4604, 269, 3962, 512, 668, 3626, 1590, 1899, 909, 609, 519, 10945, 593, 519, 4604, 267, 865, 602, 621, 6227, 4010, 1614, 10945, 269, 2913, 535, 3799, 264, 581, 519, 10545, 1297, 540, 512, 668, 3626, 525, 2838, 547, 3247, 1022, 811, 1373, 5116, 269, 8058, 602, 585, 782, 562, 3436, 476, 271, 267, 562, 273, 270, 278, 1341, 554, 333, 18016, 535, 3799, 264, 18016, 562, 273, 270, 276, 1341, 5679, 585, 930, 556, 1023, 554, 543, 737, 269, 22614, 480, 373, 16583, 375, 27882, 353, 14035, 482, 418, 509, 354, 419, 506, 489, 25203, 372, 10429, 367, 25335, 484, 30903, 495, 18777, 366, 25335, 352, 13127, 506, 357, 25913, 418, 350, 484, 19540, 483, 27447, 24662, 22287, 499, 13644, 491, 16043, 500, 13644, 491, 14756, 482 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 257, 14722, 723, 1336, 513, 1761, 1007, 1426, 2707, 585, 1272, 593, 21275, 781, 7599, 661, 1338, 19921, 639, 267, 2687, 547, 513, 1007, 1353, 3370, 538, 519, 4760, 834, 16631, 1701, 634, 3173, 15091, 789, 1705, 711, 1265, 2963, 540, 1272, 3294, 269, 1548, 789, 1705, 1265, 729, 7250, 3154, 538, 519, 2520, 903, 518, 6438, 726, 6979, 27513, 1154, 689, 519, 2627, 540, 21275, 781, 7599, 661, 1338, 19921, 639, 269, 2201, 3047, 267, 7250, 689, 13837, 331, 3233, 3905, 20950, 267, 849, 1634, 607, 8652, 31516, 642, 757, 267, 5713, 607, 513, 1426, 6006, 585, 17973, 543, 607, 519, 3490, 540, 606, 14969, 5117, 269, 2060, 519, 1007, 6602, 267, 5176, 1169, 6221, 593, 519, 1592, 540, 7727, 1898, 547, 1272, 814, 1631, 1044, 1336, 593, 661, 1338, 19921, 639, 1701, 630, 24433, 4653, 3377, 10332, 476, 1321, 3764, 3516, 910, 8989, 689, 4760, 3163, 994, 7069, 2707, 585, 602, 729, 606, 834, 29197, 257, 20394, 689, 772, 590, 589, 4653, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1215, 798, 596, 4194, 543, 3113, 1923, 343, 1341, 476, 273, 347, 18016, 476, 274, 2496, 7462, 476, 272, 8382, 454, 21801, 476, 1321, 267, 476, 1001, 279, 692, 27572, 476, 276, 1422, 548, 1535, 1422, 548, 476, 272, 6911, 2971, 19247, 1384, 347, 343, 1341, 476, 273, 347, 18016, 476, 274, 692, 2791, 723, 547, 4194, 547, 4834, 1384, 259, 343, 1341, 476, 273, 1422, 548, 476, 274, 6911, 259, 343, 1422, 548, 476, 272, 6911, 663, 692, 259, 343, 1341, 476, 273, 1422, 613, 910, 476, 274, 6911, 259, 343, 1422, 613, 910, 476, 276, 6911, 20877, 786, 581, 713, 609, 513, 8880, 1899, 693, 1269, 344, 815, 476, 274, 259, 3388, 2630, 519, 1899, 3330, 519, 834, 341, 257, 568, 519, 3070, 780, 23054, 346, 11274, 3287, 266, 273, 264, 30585, 1321, 269, 4037, 267, 476, 278, 269, 1839, 267, 910, 273, 269, 1321, 267, 476, 278, 269, 6434, 316, 348 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14399, 540, 3075, 3755, 616, 1419, 20495, 543, 26884, 267, 607, 3075, 946, 568, 9244, 17047, 609, 15176, 10385, 543, 3929, 16132, 267, 2810, 519, 7872, 602, 519, 1453, 779, 2168, 543, 3929, 2115, 786, 711, 581, 1558, 676, 741, 3237, 454, 14399, 1451, 19326, 689, 741, 3237, 543, 15637, 1765, 732, 891, 19326, 649, 1616, 873, 547, 900, 3634, 888, 14946, 513, 6101, 7014, 585, 1514, 4600, 7231, 609, 3075, 15134, 11139, 1453, 267, 2147, 547, 519, 835, 6069, 676, 519, 7460, 5948, 540, 4317, 20709, 454, 8450, 519, 13613, 585, 713, 5140, 3561, 799, 23933, 856, 875, 513, 1514, 11832, 1058, 4308, 609, 513, 3075, 15134, 11139, 1126, 269, 898, 2882, 2963, 3766, 1430, 532, 267, 1416, 3877, 267, 543, 4180, 519, 1126, 814, 513, 1697, 2564, 6514, 563, 28444, 675, 519, 1514, 2533, 1062, 814, 2614, 2200, 547, 6023, 891, 2665, 454, 28444, 675, 602, 2312, 5773, 585, 7128, 543, 1857, 3106, 6887, 616, 9788, 856, 454, 6195, 12080, 540, 5753, 543, 19198, 1058, 581, 1572, 8164, 1453, 616, 1336, 538, 3075, 22475, 543, 1332, 268, 3591, 454, 18128, 2064, 540, 1761, 543, 4890, 12178, 547, 1453, 1058, 6394, 543, 6592, 454, 20059, 580, 622, 519, 7872, 540, 7471, 25846, 6573, 968, 330, 1342, 773, 6517, 892, 799, 1131, 1331, 513, 7128, 11464, 543, 1514, 11832, 4481, 8036, 547, 4308, 609, 519, 2152, 1472, 1126, 6057, 543, 824, 6469, 3871, 454, 299, 984, 2421, 519, 6554, 540, 7460, 547, 3142, 538, 513, 10684, 7232, 526, 11139, 5753, 779, 2920, 2073, 1514, 11832, 10873, 267, 543, 2087, 519, 1514, 2533, 1062, 454, 7197, 25772, 630, 10843, 2679, 676, 331, 9155, 264, 723, 2944, 741, 851, 547, 2149, 2104, 31269, 540, 1332, 19945, 543, 8715, 2978, 5321, 267, 855, 621, 779, 909, 547, 519, 19435, 547, 798, 741, 851, 585, 519, 1453, 945, 27057, 21078, 972, 454, 6546, 513, 4484, 581, 2366, 547, 519, 5313, 543, 21621, 6608, 6998, 585, 1732, 4027, 585, 3075, 15134, 11139, 1453, 543, 811, 2200, 585, 4395, 1467, 1514, 4600, 454, 6546, 18999, 2917, 25846, 6573, 267, 538, 14966, 609, 5080, 9445, 267, 2015, 519, 23250, 540, 513, 2048, 330, 1342, 773, 1286, 685, 1765, 6518, 1131, 1331, 513, 7128, 11464, 543, 1514, 11832, 4481, 8036, 547, 4308, 609, 519, 2152, 1472, 1126, 6057 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 269, 12361, 5311, 2496, 296, 991, 930, 948, 609, 5311, 543, 23115, 856, 606, 3830, 585, 2016, 5311, 780, 2690, 1383, 10484, 6343, 568, 513, 3830, 585, 513, 5311, 476, 1015, 267, 277, 267, 1015, 267, 277, 267, 13718, 534, 1278, 835, 568, 910, 272, 270, 275, 16427, 273, 270, 280, 16427, 274, 270, 1626, 25773, 275, 270, 1839, 454, 1721, 713, 835, 594, 2219, 621, 1131, 581, 910, 263, 333, 266, 272, 19422, 333, 266, 273, 8203, 273, 1809, 1775, 3893, 621, 4636, 780, 628, 2273, 835, 568, 513, 272, 815, 476, 1015, 267, 513, 3799, 266, 272, 264, 815, 606, 14370, 534, 266, 272, 1040, 875, 1131, 579, 1265, 513, 273, 267, 513, 274, 267, 513, 275, 267, 513, 276, 689, 519, 2285, 1344, 2496, 12552, 780, 273, 269, 20323, 17397, 676, 695, 1695, 275, 340, 866, 692, 628, 2273, 835, 568, 513, 272, 815, 476, 1015, 267, 513, 3799, 266, 272, 264, 815, 606, 14370, 534, 266, 272, 1040, 875, 1131, 579, 1265, 513, 273, 267, 513, 274, 267, 513, 275, 267, 513, 276, 689, 519, 2285, 1344, 2496, 12552, 563, 7445, 6234, 513, 318, 272, 284, 1015, 6911, 7445, 6234, 513, 318, 273, 30381, 3709, 272, 266, 272, 18098, 2765, 21151, 318, 272, 2410, 320, 318, 272, 266, 272, 18098, 2765, 346, 1015, 2410, 1556, 10592, 7445, 6234, 513, 318, 274, 30381, 3709, 273, 266, 272, 18098, 2765, 21151, 318, 273, 2410, 320, 318, 273, 266, 272, 13157, 10371, 6911, 31756, 780, 290, 289, 692, 274, 269, 20323, 17397, 676, 695, 1695, 275, 340, 866, 692, 534, 1278, 835, 568, 910, 272, 270, 275, 16427, 273, 270, 280, 16427, 274, 270, 1626, 25773, 275, 270, 1839, 454, 1721, 713, 835, 594, 2219, 621, 1131, 581, 910, 263, 333, 266, 272, 19422, 333, 266, 273, 8203, 273, 1809, 1775, 3893, 621, 4636, 563, 26980, 692, 7445, 6234, 28363, 2765, 346, 272, 2410, 275, 4151, 2073, 4399, 6234, 28363, 2765, 346, 273, 2410, 280, 4151, 2073, 4399, 6234, 28363, 2765, 346, 274, 2410, 1626, 4151, 2073, 4399, 6234, 28363, 2765, 346, 275, 2410, 1839, 10592, 763, 32671, 2165, 540, 713, 5311, 568, 4399, 6234, 28363, 2765, 346, 337, 2410, 263, 337, 266, 272, 8203, 273, 4151, 2073, 1141, 678, 284, 272, 267, 273, 267, 274, 27250, 276, 269, 20323, 17397, 676, 695, 1695, 275, 340, 866, 454, 7445, 6234, 513, 5332, 7807, 8218, 26231, 1162, 348, 476, 1015, 1299, 562, 1422, 3667, 346, 1256, 476, 27874, 476, 277, 1299, 562, 1422, 3667, 346, 9642, 7684, 1422, 754, 26231, 1162, 21456, 7445, 6234, 513, 5332, 815, 476, 279, 1341, 476, 273, 1422, 10383, 11196, 272, 22722, 333, 266, 272, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20124, 281, 4165, 3415, 2398, 534, 1092, 563, 305, 6506, 327, 9155, 630, 13069, 6545, 1070, 808, 690, 32021, 21840, 267, 12868, 454, 305, 6506, 327, 9155, 630, 10193, 1634, 12725, 607, 939, 6545, 1070, 30158, 9862, 547, 3560, 15915, 630, 27271, 1507, 454, 31642, 885, 540, 26708, 1070, 1683, 513, 1970, 1942, 543, 8465, 7154, 540, 4683, 454, 10520, 1636, 566, 267, 16113, 538, 14913, 5607, 269, 1358, 723, 513, 2267, 2358, 3432, 454, 1993, 827, 476, 1015, 5998, 10774, 337, 267, 1818, 873, 5078, 585, 15143, 540, 1447, 982, 476, 273, 5998, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 3848, 476, 273, 910, 14572, 12307, 910, 476, 273, 268, 275, 14572, 12307, 2060, 25159, 593, 5637, 590, 1938, 910, 6657, 543, 9046, 4149, 6295, 20113, 910, 8525, 476, 11793, 281, 476, 2420, 692, 321, 284, 278, 692, 2971, 4518, 5153, 676, 5153, 692, 259, 279, 24179, 274, 17070, 6661, 321, 268, 280, 8607, 11138, 476, 279, 268, 274, 1532, 284, 321, 268, 280, 8607, 11138, 476, 276, 284, 273, 321, 268, 280, 8607, 11138, 273, 321, 284, 1691, 8607, 11138, 536, 284, 278, 259, 1284, 1101, 946, 519, 2733, 5737, 3959, 593, 519, 2451, 2427, 540, 519, 3830, 547, 14458, 269, 1284, 1287, 1039, 536, 593, 1312, 5011, 269, 8921, 267, 649, 1039, 476, 280, 593, 1312, 5011, 269, 7053, 267, 649, 7941, 676, 476, 273, 547, 1205, 602, 536, 284, 278, 269, 1284, 11690, 476, 278, 538, 585, 536, 543, 6166, 602, 938, 2626, 568, 267, 8197, 267, 2953, 780, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 851, 318, 821, 1104, 616, 5091, 580, 1080, 18425, 920, 2084, 7531, 3698, 814, 318, 520, 318, 548, 770, 318, 821, 5091, 19302, 3799, 2187, 825, 9598, 815, 2715, 328, 281, 1193, 3799, 1040, 12248, 9217, 264, 585, 1775, 538, 1305, 19304, 3799, 4297, 8679, 825, 585, 737, 267, 642, 538, 9598, 29096, 10031, 1038, 952, 642, 2652, 476, 273, 912, 2018, 2132, 6936, 454, 825, 2132, 8771, 7531, 3698, 5173, 7272, 817, 6919, 9272, 318, 5228, 267, 3403, 15461, 2187, 825, 10659, 815, 1496, 328, 585, 1775, 538, 2039, 9272, 318, 5228, 267, 3403, 15461, 22708, 825, 3435, 815, 11713, 825, 585, 524, 538, 10659, 912, 1038, 952, 814, 318, 520, 318, 548, 770, 318, 821, 5091, 19302, 6262, 264, 543, 616, 5091, 580, 1080, 18425, 920, 2084, 6262, 2187, 2018, 3435, 6910, 6262, 994, 825, 2132, 3435, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3435, 815, 5173, 7272, 817, 6919, 263, 32579, 28360, 267, 476, 279, 5379, 24062, 994, 825, 1820, 12759, 4433, 30055, 4297, 476, 1948, 476, 31172, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 3018, 538, 3348, 531, 322, 476, 1556, 267, 594, 4121, 875, 547, 6218, 606, 20800, 602, 568, 513, 6824, 269, 769, 519, 1837, 267, 713, 568, 1634, 607, 968, 8586, 7060, 609, 7787, 23055, 6100, 4595, 782, 8454, 616, 7787, 2338, 267, 621, 568, 2009, 547, 1118, 8454, 883, 23055, 593, 2338, 269, 3371, 568, 606, 1383, 1384, 19350, 616, 930, 824, 1806, 269, 1306, 596, 666, 1294, 267, 519, 6824, 666, 581, 2318, 610, 2942, 1384, 2414, 4194, 513, 27847, 20800, 267, 596, 1689, 519, 3490, 1297, 689, 1373, 513, 1379, 267, 883, 513, 2234, 545, 663, 1369, 513, 9097, 269, 769, 1250, 1362, 594, 4121, 519, 6031, 968, 17810, 1379, 267, 1317, 519, 3597, 568, 2141, 593, 519, 5377, 6100, 901, 568, 513, 5363, 1259, 547, 3314, 602, 519, 14009, 1109, 263, 528, 5377, 1297, 264, 538, 519, 27847, 20800, 3587, 519, 4994, 538, 519, 9097, 780, 1607, 1383, 2630, 9727, 519, 3268, 540, 4657, 513, 1297, 609, 513, 2318, 27847, 20800, 883, 513, 9097, 269, 634, 19362, 630, 9008, 540, 6824, 1070, 666, 581, 5116, 607, 519, 20800, 2901, 593, 1175, 519, 2234, 545, 663, 267, 610, 519, 3003, 9097, 269, 594, 4782, 547, 798, 621, 627, 31295, 1259, 2306, 519, 2338, 4443, 547, 4194, 269, 2991, 713, 568, 2944, 267, 519, 9097, 666, 581, 2417, 11117, 780, 1607, 1383, 2982, 519, 1482, 3268, 267, 609, 513, 2942, 20800, 269, 1703, 616, 1114, 2081, 547, 798, 713, 267, 855, 594, 8359, 519, 835, 594, 899, 1655, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 25663, 28513, 281, 4855, 519, 3845, 1063, 11196, 280, 267, 274, 264, 663, 8987, 272, 16427, 276, 2020, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 17951, 956, 9847, 25663, 28513, 281, 4855, 519, 3845, 1063, 11196, 280, 267, 274, 264, 663, 8987, 272, 16427, 276, 264, 3396, 1109, 8298, 2201, 692, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 256, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 2439, 16387, 281, 27449, 267, 14911, 267, 24045, 7285, 3752, 951, 16497, 12226, 21287, 13658, 769, 3493, 628, 692, 8437, 1934, 547, 1294, 20231, 2042, 593, 27449, 7726, 476, 10441, 4792, 277, 281, 4855, 519, 3845, 1063, 11196, 280, 267, 274, 264, 663, 8987, 272, 16427, 276, 264, 12585, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 264, 1741, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 9359, 609, 519, 2016, 3845, 4542, 1141, 568, 519, 1101, 1448, 543, 568, 519, 2034, 1448, 623, 29888, 538, 2073, 2073, 2073, 21414, 547, 1205, 910, 279, 269, 21414, 547, 1205, 476, 279, 269, 12384, 1142, 1871, 5410, 22217, 1518, 519, 4009, 3597, 630, 16694, 281, 1403, 596, 991, 948, 609, 28976, 519, 4009, 3597, 267, 2638, 856, 713, 24626, 264, 1924, 519, 3845, 4114, 23660, 547, 799, 21448, 547, 476, 1556, 269, 4029, 1924, 519, 3845, 1063, 11196, 280, 267, 274, 264, 543, 11196, 272, 16427, 276, 264, 568, 5111, 476, 1556, 269, 4029, 4559 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 333, 815, 703, 9272, 15405, 1485, 345, 815, 1592, 9852, 777, 17301, 267, 3403, 14061, 20889, 3488, 1412, 4297, 2020, 322, 3300, 815, 476, 272, 454, 15927, 7465, 815, 476, 272, 692, 1721, 1775, 538, 2039, 263, 272, 267, 562, 2187, 825, 952, 1554, 345, 5157, 316, 13843, 1554, 345, 5157, 910, 476, 272, 14158, 1038, 4831, 815, 4831, 1341, 476, 272, 454, 825, 3116, 912, 1038, 4831, 815, 476, 272, 692, 825, 952, 630, 322, 3300, 3436, 7887, 2187, 1038, 7887, 815, 4831, 7531, 2745, 6357, 580, 7465, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 17716, 281, 1215, 547, 1205, 707, 8004, 23136, 547, 21098, 610, 29751, 596, 811, 1419, 269, 3557, 707, 16858, 269, 2142, 9237, 609, 1200, 827, 1018, 596, 1616, 689, 519, 2078, 269, 15681, 1200, 602, 596, 1131, 899, 621, 952, 972, 729, 811, 21098, 532, 543, 554, 19982, 538, 707, 2078, 269, 3097, 271, 269, 21727, 1200, 16858, 543, 1256, 2303, 930, 25262, 566, 269, 1496, 11357, 25074, 316, 8347, 6031, 267, 834, 1775, 6415, 711, 476, 1911, 260, 2386, 563, 272, 269, 1809, 849, 1118, 621, 2312, 602, 596, 2463, 1200, 543, 1871, 1200, 4606, 267, 865, 596, 1810, 1405, 1616, 547, 2604, 1200, 883, 3257, 1945, 602, 2306, 1200, 13943, 896, 1022, 6381, 269, 1496, 11357, 25074, 316, 32695, 547, 1142, 824, 827, 1018, 596, 2503, 689, 707, 2078, 568, 513, 1390, 1259, 547, 1205, 6251, 547, 835, 1776, 543, 547, 1628, 513, 6125, 602, 568, 1759, 593, 19969, 543, 8994, 2463, 563, 273, 269, 5213, 1405, 24983, 1472, 610, 1352, 1522, 711, 25262, 622, 269, 1496, 11357, 25074, 316, 589, 3551, 3948, 1131, 581, 1945, 899, 267, 834, 1775, 1616, 513, 811, 13680, 1101, 21098, 563, 274, 269, 2142, 1808, 267, 711, 3274, 22394, 267, 865, 1352, 11099, 596, 1616, 811, 269, 3371, 781, 875, 547, 2995, 1200, 707, 4606, 2433, 1496, 11357, 25074, 316, 2913, 1200, 917, 596, 1616, 811, 554, 13903, 543, 811, 21098, 532, 563, 12585, 281, 476, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 295, 842, 281, 3509, 1004, 798, 606, 16953, 547, 917, 519, 3023, 540, 741, 1126, 269, 1284, 1480, 666, 1451, 519, 3023, 855, 538, 519, 2831, 267, 621, 782, 4523, 3330, 269, 634, 1646, 540, 5256, 610, 4775, 5673, 593, 519, 13708, 26347, 602, 616, 6992, 1944, 269, 898, 3217, 942, 547, 917, 519, 3023, 540, 519, 28738, 344, 563, 29189, 8990, 568, 519, 1184, 540, 6616, 519, 3023, 540, 519, 28738, 344, 269, 898, 3217, 1747, 1813, 547, 15366, 30846, 269, 634, 13708, 23176, 535, 6748, 609, 1142, 824, 16976, 519, 3023, 540, 519, 1126, 269, 1284, 2097, 547, 917, 827, 519, 3023, 1310, 476, 274, 268, 275, 3275, 630, 514, 3425, 264, 676, 16953, 563, 4131, 721, 1294, 519, 7271, 540, 3023, 8990, 538, 519, 3681, 563, 285, 26840, 589, 269, 26006, 23331, 281, 769, 9932, 32048, 267, 519, 9038, 616, 688, 680, 6950, 1247, 519, 8951, 616, 9733, 1355, 269, 631, 2297, 1020, 689, 519, 4652, 23459, 1242, 5798, 676, 851, 1156, 14003, 1572, 2855, 1156, 582, 758, 344, 269, 12339, 2297, 1020, 689, 6992, 1242, 5798, 865, 616, 9733, 1355, 269, 10348, 10987, 1491, 14203, 689, 519, 20473, 1282, 8356, 696, 658, 8184, 543, 4558, 538, 741, 5738, 2873, 563, 285, 26840, 645, 269, 12551, 281, 674, 8460, 723, 513, 1395, 8328, 1062, 540, 3023, 8990, 269, 634, 2188, 593, 519, 1313, 23865, 15954, 6430, 593, 519, 3023, 540, 519, 1007, 28738, 344, 563, 285, 26840, 595, 269, 16819, 281, 634, 5017, 723, 3023, 8990, 910, 2098, 313, 19053, 310, 602, 568, 2098, 313, 568, 5256, 799, 568, 4630, 690, 600, 2045, 6466, 2098, 310, 568, 4775, 799, 568, 10636, 690, 600, 2045, 269, 1924, 519, 4775, 13708, 26347, 6430, 519, 3023, 540, 519, 15556, 269, 634, 2698, 1297, 540, 15954, 3788, 519, 1482, 538, 1312, 5256, 543, 8951, 563, 285, 26840, 667, 269, 5274, 1373, 281, 769, 3425, 267, 519, 4775, 568, 4630, 690, 600, 2045, 602, 1797, 621, 814, 30619, 851, 540, 513, 15694, 6466, 519, 5256, 568, 10636, 690, 600, 2045, 2348, 2473, 312, 269, 1924, 519, 3023, 540, 519, 15556, 5673, 593, 519, 10636, 8328, 640, 540, 519, 5256, 563, 17798, 267, 634, 2953, 2626, 568, 4781, 630, 290, 1916, 9616, 281, 11557, 8990, 538, 3127, 568, 17049, 269, 1879, 1004, 3357, 547, 917, 827, 519, 3023, 540, 519, 1126, 267, 789, 2356, 705, 9285, 519, 8004, 1126, 607, 789, 1589, 621, 547, 581, 513, 11411, 269, 634, 16953, 568, 519, 1184, 799, 2337, 547, 917, 519, 3023, 540, 519, 1126, 538, 519, 476, 275, 268, 276, 3923, 269, 634, 21565, 10953, 26470, 538, 519, 476, 273, 526, 3923, 540, 32460, 269, 634, 17873, 540, 519, 21565, 1376, 547, 1020, 676, 519, 1439, 540, 519, 476, 273, 526, 3923, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 32056, 29719, 609, 1913, 2439, 1432, 4523, 547, 519, 12045, 540, 5609, 1535, 543, 5430, 1535, 952, 1535, 568, 6027, 538, 5232, 3079, 540, 32494, 286, 1677, 1265, 856, 267, 1491, 519, 1739, 3268, 780, 320, 264, 2060, 707, 1178, 17731, 538, 4110, 7154, 267, 3113, 454, 325, 22607, 6661, 306, 514, 554, 10774, 454, 663, 7447, 1929, 554, 19065, 361, 285, 271, 535, 22607, 1040, 14424, 707, 7447, 609, 14039, 270, 5197, 269, 1772, 972, 1022, 2601, 547, 3494, 519, 3970, 1058, 581, 14039, 270, 5197, 2496, 321, 264, 2060, 707, 1178, 17731, 538, 4110, 7154, 267, 7447, 454, 3916, 554, 19065, 361, 285, 271, 5430, 554, 268, 272, 10774, 692, 322, 264, 3767, 979, 1394, 547, 519, 8174, 566, 540, 519, 4542, 585, 519, 12045, 540, 5609, 1535, 538, 519, 1257, 543, 4163, 856, 519, 3268, 540, 519, 8174, 566, 1210, 4110, 2173, 1712, 7182, 269, 1548, 4542, 798, 596, 3489, 585, 519, 12045, 2496, 323, 264, 14216, 633, 519, 4542, 585, 519, 12045, 540, 5430, 1535, 1210, 4110, 7154, 7182, 780, 324, 264, 634, 11393, 540, 519, 4110, 7154, 12596, 1831, 7805, 607, 596, 1376, 2921, 16755, 540, 2362, 1931, 269, 1548, 616, 519, 2034, 543, 3791, 4110, 7154, 16755, 540, 5609, 1535, 543, 5430, 1535, 888, 296, 1178, 335, 1117, 621, 267, 855, 602, 781, 782, 594, 917, 875, 547, 798, 269, 6435, 5225, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 294, 20071, 5295, 538, 519, 15858, 454, 288, 3883, 6168, 21989, 267, 4256, 674, 8986, 267, 543, 4256, 8892, 454, 5804, 519, 10022, 21756, 5295, 454, 294, 20071, 5295, 538, 519, 15858, 6212, 593, 519, 6015, 6690, 991, 547, 8011, 538, 1153, 269, 901, 1524, 3562, 268, 24160, 1433, 7710, 519, 1082, 4128, 602, 1832, 6690, 689, 6340, 909, 538, 1362, 267, 6998, 2055, 267, 543, 2921, 2407, 5413, 540, 519, 3255, 789, 2461, 2016, 538, 1153, 269, 898, 849, 9607, 9263, 2604, 543, 1683, 6266, 540, 5796, 547, 948, 6690, 1118, 519, 1034, 540, 1153, 267, 1312, 27268, 543, 13998, 563, 347, 22706, 476, 277, 910, 6103, 476, 280, 454, 30054, 518, 1676, 14539, 6828, 454, 30054, 518, 1676, 23549, 21508, 351, 454, 268, 12425, 3427, 20157, 12579, 5948, 8479, 16989, 5440, 10783, 344 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7021, 476, 29637, 267, 1822, 3043, 17514, 786, 581, 5116, 593, 519, 2817, 26864, 12406, 538, 6115, 267, 9823, 547, 8956, 1977, 2729, 4503, 547, 5046, 268, 866, 563, 763, 8858, 267, 3957, 968, 1103, 3013, 281, 5457, 5608, 568, 513, 29355, 10380, 1141, 8436, 616, 9415, 547, 30164, 513, 3043, 9206, 538, 1121, 27320, 540, 2576, 789, 4503, 1282, 519, 6855, 269, 19893, 666, 849, 30164, 513, 9206, 12303, 543, 581, 12286, 593, 519, 8858, 779, 3896, 269, 634, 5691, 6712, 540, 519, 10380, 568, 2907, 5665, 2228, 269, 3245, 5181, 476, 1704, 628, 998, 5239, 476, 274, 6113, 267, 519, 1857, 10380, 666, 581, 1336, 2282, 519, 6115, 31790, 563, 2710, 596, 3972, 519, 1292, 6908, 2923, 888, 257, 265, 257, 6920, 2838, 4610, 454, 27746, 1633, 7376, 2672, 3960, 2033, 30554, 22828, 645, 1066, 22974, 3689, 28086, 2813, 1200, 1101, 4528, 540, 519, 10380, 538, 5239, 540, 476, 1708, 271, 269, 2060, 519, 948, 540, 519, 1857, 267, 1352, 12630, 936, 476, 7742, 267, 1822, 17514, 538, 16674, 298, 853, 18123, 269, 901, 4947, 2887, 267, 1352, 786, 2030, 519, 476, 29637, 267, 1822, 17514, 543, 1711, 476, 274, 269, 279, 5195, 540, 10092, 1369, 519, 2361, 269, 4340, 547, 513, 2046, 5305, 267, 713, 786, 581, 519, 4102, 29355, 1148, 10380, 593, 519, 2817, 26864, 2094, 519, 15978, 2372, 2830, 563, 1103, 476, 2735, 278, 267, 519, 844, 2830, 729, 8704, 585, 519, 1101, 942, 609, 5176, 476, 273, 267, 1822, 10531, 8440, 16033, 908, 2729, 4503, 547, 519, 15435, 269, 769, 513, 3948, 267, 3689, 28086, 1767, 267, 968, 2690, 835, 538, 1614, 1977, 3885, 267, 972, 568, 1100, 3339, 269, 901, 8858, 26549, 782, 945, 723, 5747, 267, 855, 621, 568, 811, 982, 606, 957, 540, 1121, 27320, 269, 769, 3013, 281, 5457, 267, 786, 1683, 606, 8978, 3308, 22348, 721, 585, 1296, 547, 2097, 602, 1373, 606, 1977, 1797, 12391, 585, 782, 4892, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12812, 547, 13378, 692, 5197, 271, 268, 9083, 274, 268, 3422, 692, 266, 11011, 268, 6344, 268, 5379, 272, 20981, 271, 692, 290, 11286, 476, 271, 692, 1892, 476, 271, 692, 300, 312, 595, 11286, 630, 276, 2020, 8196, 595, 19281, 517, 281, 595, 11286, 736, 543, 1205, 476, 736, 260, 1055, 593, 782, 2228, 5530, 7698, 692, 3951, 4932, 454, 291, 4953, 288, 6579, 306, 454, 300, 14641, 454, 291, 3041, 4596, 7419, 307, 454, 293, 2562, 3201, 11553, 21201, 454, 13707, 12313, 281, 12652, 780, 2467, 616, 1100, 3688, 538, 713, 7047, 563, 25594, 19255, 4771, 454, 319, 1038, 17817, 540, 5409, 19096, 609, 29297, 4925, 616, 2016, 607, 476, 274, 343, 268, 275, 344, 266, 278, 284, 271, 543, 476, 275, 343, 266, 274, 344, 266, 272, 284, 271, 286, 319, 454, 821, 1032, 3516, 692, 6635, 684, 454, 22001, 4649, 18745, 454, 3499, 20930, 15235, 1109, 17798, 267, 519, 4745, 3830, 540, 519, 29297, 4925, 568, 630, 274, 343, 1107, 476, 275, 344, 1341, 476, 278, 7565, 275, 343, 1341, 476, 274, 344, 1341, 476, 272, 264, 815, 476, 271, 269, 3086, 267, 649, 917, 602, 519, 3830, 540, 14328, 5409, 19096, 15320, 689, 602, 540, 519, 4745, 3830, 540, 29297, 4925, 676, 513, 3586, 1152, 267, 8754, 649, 1590, 723, 519, 3830, 540, 519, 5409, 19096, 607, 263, 274, 343, 1107, 476, 275, 344, 1341, 476, 278, 7565, 275, 343, 1341, 476, 274, 344, 1341, 476, 272, 264, 1341, 678, 815, 476, 271, 20193, 568, 2016, 602, 519, 5409, 19096, 10596, 998, 519, 5169, 543, 8754, 267, 8380, 1535, 815, 586, 815, 476, 271, 2073, 649, 3489, 267, 278, 266, 678, 815, 476, 271, 1109, 17798, 267, 678, 815, 910, 278, 13034, 775, 267, 519, 3830, 540, 519, 5409, 19096, 568, 1109, 263, 274, 343, 1107, 476, 275, 344, 1341, 476, 278, 7565, 275, 343, 1341, 476, 274, 344, 1341, 476, 272, 264, 1107, 476, 278, 284, 476, 271, 20136, 3947, 476, 1321, 343, 273, 1109, 266, 476, 280, 15383, 1341, 476, 274, 343, 910, 1626, 15383, 1107, 476, 1321, 344, 273, 1109, 1700, 476, 275, 344, 1341, 476, 2764, 343, 1341, 476, 2641, 344, 1341, 476, 278, 268, 476, 278, 815, 476, 271, 2529, 334, 267, 1109, 1321, 343, 273, 1109, 1700, 476, 1321, 344, 273, 1109, 268, 476, 278, 15383, 1341, 476, 4029, 343, 1341, 476, 1704, 344, 815, 476, 271, 454, 8199, 821, 1032, 3516, 454, 13914, 1411, 2052, 3629, 589, 14568, 8382, 26042, 1012, 4033, 13565, 5999, 593, 594, 3951, 808, 7417, 9980, 8896, 11929, 692, 8698, 782, 5999, 9732, 692, 2162, 6092, 17972, 692, 1892, 476, 278, 4029, 11473, 700, 624, 999, 454, 1892, 31280, 11872, 454, 1892, 19881, 5729, 14430, 454, 1892, 9650, 10934, 454, 1892, 5530, 4643, 1676, 454, 1892, 19436, 10298, 454, 1892, 17564, 17072, 454, 1892, 4530, 1957, 609, 11473, 8827, 692, 2162, 6092, 17972, 692, 1892, 476, 278, 4029, 11473, 700, 624, 999, 454, 1892, 31280, 11872, 454, 1892, 4530, 1957, 609, 11473, 8827, 454, 1892, 9650, 10934, 454, 1892, 5530, 4643, 1676, 454, 1892, 19436, 10298, 454, 1892, 17564, 17072, 454, 1892, 19881, 5729, 11929, 5999 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 8535, 6807, 267, 5030, 1079, 1655, 2828, 910, 18581, 519, 2142, 11232, 543, 27385, 519, 8293, 597, 7758, 269, 1358, 1312, 6068, 2575, 543, 26927, 3139, 540, 2870, 741, 1378, 17581, 835, 1554, 269, 2290, 13566, 6640, 267, 789, 4956, 547, 1376, 2324, 593, 741, 17581, 1318, 2476, 2439, 257, 289, 10154, 2437, 4280, 27385, 31113, 267, 834, 6011, 1279, 798, 596, 1589, 621, 786, 1491, 721, 547, 1118, 938, 17581, 12482, 289, 10154, 14452, 267, 834, 11039, 267, 1250, 3659, 267, 1818, 606, 17581, 3322, 1082, 3268, 899, 1603, 8964, 267, 8026, 7405, 267, 10916, 13475, 267, 11544, 4992, 267, 543, 13215, 519, 3803, 1587, 3010, 2026, 789, 24389, 593, 741, 7574, 3460, 267, 789, 4121, 875, 3280, 12599, 998, 2011, 30335, 267, 8757, 938, 10772, 543, 13321, 883, 5283, 617, 1190, 26107, 269, 1358, 4362, 602, 950, 1114, 4992, 2097, 1927, 267, 789, 1106, 11745, 625, 267, 1175, 899, 1585, 4778, 11100, 547, 1711, 4190, 4764, 28647, 269, 2060, 1142, 8429, 1554, 267, 741, 11505, 8057, 6793, 2059, 609, 741, 1620, 540, 2257, 3297, 2575, 780, 291, 904, 5828, 883, 4374, 267, 1287, 3275, 267, 2943, 741, 17581, 7012, 1405, 4712, 269, 674, 745, 1598, 730, 267, 27385, 9289, 16965, 267, 834, 3963, 3884, 1405, 938, 17581, 8737, 2943, 286, 898, 7959, 899, 649, 4312, 1044, 3257, 713, 11014, 10590, 1677, 799, 18581, 15527, 20617, 267, 834, 15031, 1466, 267, 15210, 3659, 267, 1434, 1919, 1491, 942, 3010, 7661, 267, 1310, 3592, 513, 1032, 267, 741, 17581, 729, 2347, 256, 19196, 1243, 569, 267, 789, 4843, 621, 547, 3025, 538, 8535, 6807, 269, 1809, 547, 741, 9983, 267, 1100, 835, 1223, 5873, 1022, 2575, 256, 3131, 14658, 539, 267, 789, 7691, 602, 1247, 2519, 865, 1454, 593, 2870, 519, 3501, 3280, 3330, 741, 18638, 267, 789, 29709, 547, 6460, 741, 19827, 883, 513, 3898, 602, 1866, 1223, 6432, 547, 269, 4256, 12271, 521, 1678, 267, 16734, 741, 12161, 780, 4913, 267, 3079, 540, 3478, 771, 24711, 2989, 267, 789, 1031, 713, 1995, 607, 513, 1565, 4316, 269, 6884, 267, 1256, 1498, 649, 960, 2731, 2182, 2509, 1945, 267, 1919, 1522, 711, 979, 2687, 547, 1544, 1813, 547, 27644, 6381, 269, 1656, 602, 781, 15502, 269, 1548, 6927, 1034, 568, 1018, 649, 1451, 689, 891, 2833, 543, 875, 649, 4019, 1346, 4245, 3001, 4464, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1279, 1705, 621, 1491, 547, 3132, 519, 17581, 689, 1376, 547, 9096, 888, 296, 798, 711, 723, 1344, 593, 519, 1808, 17581, 596, 616, 13288, 547, 269, 666, 596, 5225, 1683, 803, 609, 519, 17581, 2012, 610, 7376, 585, 803, 547, 1683, 596, 609, 4977, 1344, 9495, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 674, 7491, 531, 281, 634, 8695, 2196, 267, 31743, 519, 3440, 543, 8165, 547, 1205, 621, 2476, 689, 1142, 824, 269, 2290, 7911, 737, 6506, 883, 519, 15852, 2319, 781, 3804, 269, 898, 568, 556, 2452, 539, 538, 3500, 5163, 269, 634, 8695, 454, 271, 269, 3136, 4730, 585, 519, 14230, 540, 519, 3014, 563, 272, 269, 14526, 1586, 693, 519, 4544, 14776, 267, 2921, 7140, 3257, 12235, 1310, 12235, 1310, 12235, 563, 273, 269, 1404, 6186, 32702, 585, 519, 8254, 563, 274, 269, 2132, 547, 519, 3804, 543, 4339, 547, 1205, 547, 835, 1776, 563, 12585, 281, 476, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 6529, 13841, 267, 5911, 3432, 1131, 581, 3049, 3432, 610, 875, 3728, 602, 11425, 17236, 563, 31282, 909, 519, 993, 1186, 593, 513, 6529, 7143, 1457, 543, 519, 11425, 786, 6633, 5488, 543, 596, 786, 723, 547, 3049, 621, 5488, 563, 1805, 1157, 13841, 568, 3586, 1699, 563, 1103, 6529, 13841, 519, 6453, 2242, 950, 596, 12740, 519, 11425, 2476, 689, 519, 30077, 548, 610, 6251, 547, 519, 30077, 548, 269, 634, 1699, 13978, 519, 1482, 563, 12024, 538, 4955, 952, 519, 6453, 568, 1932, 1164, 519, 11425, 610, 5911, 786, 581, 1932, 2484, 2476, 689, 519, 30077, 548, 543, 6266, 540, 838, 2660, 543, 2370, 21774, 563, 292, 2416, 1259, 952, 596, 1616, 547, 946, 513, 5488, 5911, 3432, 610, 6633, 11425, 5488, 596, 991, 811, 1699, 815, 811, 3002, 563, 4415, 25182, 8407, 596, 991, 547, 946, 1447, 3002, 547, 2061, 6633, 998, 563, 22102, 518, 5911, 610, 22203, 267, 1447, 993, 1186, 267, 14887, 5911, 3432, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2005, 7710, 519, 1686, 540, 12670, 779, 590, 842, 328, 543, 681, 5448, 2094, 519, 1284, 31483, 6243, 267, 1312, 538, 513, 3864, 2796, 543, 998, 2123, 22808, 269, 589, 3844, 1445, 568, 519, 590, 842, 328, 543, 681, 5448, 3540, 2924, 3350, 281, 585, 6284, 540, 519, 14195, 267, 1996, 1884, 714, 10247, 1143, 267, 543, 585, 513, 1582, 17272, 1211, 2343, 1275, 607, 4961, 609, 3160, 2924, 269, 15332, 513, 3140, 5133, 267, 519, 14266, 2934, 12964, 4207, 23609, 689, 519, 968, 305, 5448, 305, 2358, 892, 8666, 3126, 676, 932, 611, 27213, 19785, 3430, 267, 607, 1134, 607, 519, 717, 3234, 1889, 15356, 1700, 7773, 940, 7931, 19425, 633, 563, 32701, 267, 15000, 543, 741, 18939, 1185, 547, 4339, 585, 5756, 585, 6284, 540, 519, 14195, 1996, 519, 12102, 269, 898, 729, 711, 2394, 476, 1001, 273, 602, 519, 3540, 2924, 3350, 6913, 606, 1271, 1900, 2509, 1857, 15287, 609, 519, 22305, 4851, 540, 519, 3844, 18189, 538, 12670, 547, 519, 590, 842, 328, 543, 681, 5448, 540, 2342, 23689, 896, 2817, 4317, 1143, 269, 1809, 7293, 543, 6848, 28639, 543, 1884, 714, 10247, 1143, 1869, 6414, 269, 1234, 915, 532, 713, 5571, 4948, 7130, 267, 519, 7046, 6611, 14266, 7569, 6284, 540, 590, 842, 328, 543, 681, 5448, 607, 968, 290, 527, 714, 839, 609, 26321, 7126, 892, 1107, 607, 513, 2339, 540, 1576, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2290, 13566, 1554, 267, 589, 2466, 543, 1010, 11078, 30410, 5984, 941, 4730, 3544, 950, 789, 1336, 513, 12357, 1843, 269, 898, 729, 513, 1507, 4216, 609, 16181, 543, 513, 5496, 269, 4762, 4310, 267, 789, 20399, 513, 7735, 543, 513, 5048, 7902, 281, 834, 9558, 17218, 519, 1739, 19446, 4845, 883, 2296, 1701, 1358, 1224, 519, 4845, 5402, 910, 834, 2633, 487, 23371, 11695, 499, 21005, 18892, 11695, 352, 23547, 7162, 361, 2633, 351, 2633, 376, 16284, 2633, 363, 11111, 32172, 5936, 486, 7162, 498, 18892, 7162, 362, 2633, 356, 11695, 363, 7162, 511, 14098, 364, 23371, 21005, 2633, 363, 7162, 498, 18892, 7162, 364, 14098, 506, 28637, 11695, 354, 14098, 357, 21005, 7162, 370, 5936, 486, 2633, 366, 18028, 363, 26498, 23517, 21999, 11111, 29334, 11695, 362, 18892, 2633, 352, 7162, 355, 18028, 366, 14098, 353, 11111, 32172, 5936, 486, 476, 5936, 353, 5016, 288, 2466, 6836, 547, 14377, 621, 543, 1767, 267, 834, 763, 2754, 814, 6738, 543, 19595, 721, 540, 3844, 4095, 543, 14076, 553, 628, 8643, 6163, 1701, 1809, 1945, 4769, 1405, 1745, 1318, 269, 1358, 5828, 547, 741, 8773, 3659, 267, 3353, 334, 267, 945, 6045, 602, 16627, 1590, 1832, 519, 3312, 2495, 16856, 269, 1924, 267, 789, 13761, 519, 4214, 540, 1142, 2262, 1586, 543, 7691, 741, 12161, 269, 8625, 267, 789, 3357, 909, 609, 513, 1007, 8144, 267, 834, 3682, 28698, 814, 2799, 543, 8711, 519, 5664, 4095, 543, 14076, 553, 22474, 1014, 11265, 2511, 3010, 30342, 10583, 540, 741, 9740, 267, 789, 20399, 1776, 7735, 593, 519, 4216, 547, 2638, 952, 741, 8144, 729, 4977, 269, 22582, 267, 519, 3684, 3323, 18388, 532, 10978, 569, 256, 590, 1706, 802, 24363, 856, 267, 543, 1354, 789, 6785, 621, 267, 519, 4216, 20374, 269, 589, 25922, 589, 2466, 4280, 3353, 334, 1018, 4682, 4636, 269, 2060, 513, 8797, 12837, 267, 3353, 334, 14452, 267, 834, 15919, 267, 1256, 609, 938, 1655, 3646, 267, 1919, 1810, 1405, 979, 607, 9709, 269, 3807, 899, 875, 649, 7948, 1405, 9985, 14377, 519, 4845, 4505, 267, 3006, 6901, 3111, 538, 2257, 1932, 269, 2334, 781, 15502, 282, 1565, 4523, 998, 891, 14286, 269, 1284, 666, 2141, 2119, 1586, 15323, 15987, 7138, 1194, 676, 519, 6727, 14897, 766, 540, 519, 9490, 4216, 267, 589, 2466, 543, 30410, 5984, 4121, 3407, 4245, 602, 1554, 1107, 519, 2956, 540, 1620, 2796, 1247, 24758, 4654, 543, 16177, 538, 519, 3068, 540, 5821, 269, 1656, 865, 267, 741, 8049, 8186, 4797, 3695, 519, 1158, 1472, 873, 267, 7432, 1169, 7045, 883, 513, 1187, 3621, 3408, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 24685, 713, 4305, 267, 596, 616, 2016, 513, 4845, 538, 519, 19446, 1893, 543, 513, 7222, 2296, 8144, 540, 519, 19446, 4845, 269, 2659, 4305, 568, 547, 5352, 513, 6003, 834, 8133, 257, 952, 519, 8144, 568, 2953, 267, 6382, 5352, 6003, 834, 5591, 2668, 769, 519, 8144, 267, 2296, 4845, 1058, 8190, 519, 1297, 607, 621, 568, 543, 621, 1058, 581, 538, 4845, 2013, 630, 5115, 1388, 1125, 1152, 519, 1101, 2262, 540, 1142, 4845, 543, 10902, 6393, 295, 785, 328, 281, 7162, 487, 23371, 11695, 499, 21005, 18892, 11695, 352, 23547, 7162, 361, 2633, 351, 2633, 376, 16284, 2633, 363, 11111, 32172, 5936, 486, 7162, 498, 18892, 7162, 362, 2633, 356, 11695, 363, 7162, 511, 14098, 364, 23371, 21005, 2633, 363, 7162, 498, 18892, 7162, 364, 14098, 506, 28637, 11695, 354, 14098, 357, 21005, 7162, 370, 5936, 486, 2633, 366, 18028, 363, 26498, 23517, 21999, 11111, 29334, 11695, 362, 18892, 2633, 352, 7162, 355, 18028, 366, 14098, 353, 11111, 32172, 5936, 486, 476, 5936, 353, 3097, 2296, 281, 2311, 519, 1482, 942, 519, 7577, 1031, 922, 2797, 1379, 547, 10536, 30049, 2065, 1852, 936, 4095, 4123, 543, 2504, 4586, 763, 6003, 568, 834, 5591, 2668, 594, 1031, 519, 4214, 540, 519, 4305, 799, 3340, 519, 2296, 8144, 547, 7157, 4612, 519, 2495, 540, 519, 19446, 4845, 269, 634, 2016, 2296, 4845, 1281, 711, 6655, 519, 1482, 2495, 607, 519, 19446, 4845, 267, 23380, 908, 519, 8144, 269, 634, 19446, 4845, 12909, 827, 19551, 1647, 4095, 543, 14076, 553, 628, 8643, 6163, 6466, 519, 2296, 8144, 12909, 827, 513, 635, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9824, 580, 542, 3947, 2495, 547, 1272, 543, 11414, 1004, 875, 547, 1521, 1866, 267, 607, 1134, 607, 2933, 269, 898, 2488, 513, 2631, 540, 10362, 543, 513, 3483, 585, 2713, 267, 3091, 5583, 543, 5837, 10752, 267, 543, 7512, 5171, 547, 960, 585, 2318, 1514, 1689, 563, 9824, 580, 542, 849, 2488, 513, 1259, 547, 4308, 609, 2669, 267, 543, 1018, 2501, 1985, 269, 4107, 9671, 687, 3494, 538, 513, 16750, 8116, 602, 2813, 519, 17807, 543, 10274, 1480, 2729, 269, 16241, 2853, 1331, 32467, 267, 11504, 10847, 2533, 267, 2542, 13411, 5931, 267, 1199, 23550, 543, 14120, 14812, 2429, 519, 1032, 269, 2368, 10764, 1450, 741, 13794, 547, 1397, 20174, 998, 2168, 6411, 540, 10847, 267, 971, 607, 8654, 22250, 543, 18413, 5810, 593, 513, 695, 9068, 610, 26749, 563, 9824, 16406, 4978, 543, 12738, 666, 581, 7184, 7920, 267, 5473, 24986, 267, 3458, 5446, 610, 1256, 10024, 513, 959, 766, 3697, 1533, 269, 2368, 540, 891, 2833, 949, 581, 13710, 267, 1247, 585, 1082, 1004, 789, 3274, 1745, 6209, 543, 3001, 563, 2690, 930, 5640, 267, 519, 2856, 602, 4984, 4408, 513, 1514, 4641, 2864, 982, 606, 9703, 1533, 814, 32131, 12316, 269, 1809, 267, 585, 519, 1034, 851, 267, 713, 1935, 814, 7283, 538, 519, 7706, 540, 3069, 269, 4107, 8942, 547, 5659, 519, 1523, 540, 4984, 2887, 883, 835, 540, 1079, 6688, 912, 6624, 616, 968, 3000, 582, 4854, 892, 538, 602, 789, 7500, 609, 519, 8106, 2070, 602, 1169, 3236, 540, 513, 3364, 786, 723, 513, 10747, 3959, 602, 8308, 6257, 621, 269, 1809, 519, 2063, 1896, 5756, 723, 2938, 606, 11944, 540, 968, 335, 8432, 1492, 6776, 892, 4485, 267, 799, 7947, 713, 8106, 2203, 543, 1521, 782, 8320, 540, 513, 3364, 607, 2348, 513, 18634, 2497, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 269, 12361, 28171, 692, 3682, 557, 602, 4399, 6234, 630, 272, 266, 273, 266, 273, 317, 273, 266, 273, 317, 274, 266, 1862, 266, 273, 317, 1220, 264, 1422, 341, 25854, 476, 278, 6911, 16694, 2433, 11004, 568, 1341, 1862, 266, 273, 317, 1220, 2073, 2889, 12378, 609, 3735, 343, 692, 273, 269, 28982, 267, 581, 336, 256, 343, 476, 2439, 1432, 1281, 519, 1422, 341, 25854, 1611, 286, 1547, 1547, 1547, 834, 529, 16883, 676, 257, 15017, 2252, 865, 267, 594, 723, 513, 6169, 1547, 1547, 16317, 3682, 557, 602, 281, 1547, 7445, 6234, 476, 272, 266, 273, 266, 273, 317, 273, 266, 273, 317, 274, 266, 1422, 24863, 1824, 1341, 273, 3867, 1220, 4151, 1547, 529, 16883, 676, 476, 278, 780, 7445, 6234, 715, 31046, 7807, 282, 263, 272, 1341, 476, 273, 1341, 476, 273, 317, 273, 264, 1341, 630, 273, 317, 274, 266, 273, 317, 275, 266, 273, 317, 276, 264, 1341, 630, 273, 317, 277, 266, 273, 317, 278, 266, 273, 317, 279, 264, 1341, 1422, 26984, 1341, 630, 273, 3867, 2735, 348, 1341, 476, 273, 3867, 1960, 348, 1341, 476, 273, 3867, 1220, 16585, 6911, 269, 1547, 4399, 6234, 815, 20939, 263, 272, 266, 273, 266, 275, 264, 1341, 476, 273, 317, 274, 263, 272, 266, 273, 266, 275, 264, 1341, 476, 273, 317, 277, 263, 272, 266, 273, 266, 275, 264, 1341, 1422, 26984, 1341, 476, 273, 3867, 2735, 12917, 272, 266, 273, 266, 275, 22491, 269, 1547, 4399, 6234, 815, 20939, 1422, 8974, 3630, 576, 346, 278, 13375, 263, 272, 1341, 476, 273, 317, 274, 1341, 476, 273, 317, 277, 1341, 476, 273, 317, 280, 1341, 1422, 26984, 1341, 476, 273, 3867, 2735, 4153, 2431, 14587, 18155, 3667, 21151, 2789, 540, 476, 278, 32556, 11997, 267, 4399, 6234, 715, 259, 568, 16883, 676, 476, 278, 780, 274, 269, 634, 3009, 585, 4399, 6234, 476, 273, 3867, 1220, 4151, 568, 476, 273, 3867, 1220, 348, 543, 519, 568, 16883, 3090, 4399, 6234, 1422, 13232, 259, 568, 1315, 13232, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26765, 754, 814, 621, 602, 1079, 10971, 2899, 2841, 539, 585, 519, 19121, 720, 540, 606, 9147, 19967, 2749, 267, 543, 519, 1004, 4956, 547, 3442, 1759, 593, 1018, 13344, 519, 10971, 1131, 2709, 873, 269, 634, 4262, 5601, 267, 623, 846, 573, 517, 267, 6035, 873, 519, 10516, 540, 1216, 267, 1898, 585, 1272, 269, 634, 15831, 23723, 320, 6035, 873, 519, 10516, 540, 513, 2582, 14462, 3529, 269, 634, 1004, 8359, 713, 2034, 10516, 267, 543, 547, 713, 1554, 519, 2749, 814, 4535, 519, 2012, 540, 18603, 563, 1607, 1650, 2982, 519, 1871, 602, 9147, 17417, 5116, 593, 519, 14462, 3529, 543, 922, 4829, 267, 835, 540, 519, 9510, 540, 3864, 7031, 269, 4706, 10626, 267, 543, 17545, 267, 814, 9863, 971, 602, 711, 1152, 1281, 621, 2611, 513, 20013, 540, 782, 1199, 10882, 11326, 267, 855, 519, 2030, 3294, 4564, 13884, 543, 922, 32563, 281, 4708, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 270, 7090, 692, 18411, 453, 3080, 666, 2132, 2789, 2418, 538, 5124, 563, 18257, 692, 258, 13038, 17776, 18880, 538, 5124, 2336, 3698, 30775, 10031, 16596, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 692, 821, 267, 1079, 267, 1614, 267, 2185, 267, 2947, 815, 30775, 4590, 2745, 263, 821, 267, 1079, 267, 1614, 267, 2185, 267, 2947, 2020 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 634, 5769, 814, 7494, 4957, 519, 1259, 1004, 5968, 269, 1809, 930, 3610, 1589, 519, 2242, 616, 711, 782, 585, 519, 1732, 269, 661, 32642, 9652, 267, 606, 2296, 7548, 267, 14659, 602, 1257, 20261, 814, 1500, 1053, 3494, 602, 621, 568, 2484, 811, 11807, 982, 621, 2965, 568, 547, 1175, 1118, 15265, 10259, 543, 21342, 6959, 269, 1656, 1352, 3081, 1200, 1053, 936, 519, 2250, 1896, 1296, 723, 5051, 1031, 1447, 6101, 2296, 538, 741, 1603, 269, 9293, 543, 2453, 899, 834, 7666, 344, 257, 543, 834, 9767, 917, 257, 1631, 2408, 538, 1382, 4574, 269, 7905, 9652, 1139, 4680, 972, 568, 513, 2178, 2078, 1063, 519, 4473, 540, 13016, 2228, 2792, 543, 606, 2333, 538, 1603, 9073, 269, 1809, 1352, 3081, 972, 949, 711, 581, 1454, 3621, 1344, 267, 693, 2547, 711, 2943, 269, 6424, 32423, 267, 513, 3703, 8059, 626, 2073, 3081, 519, 8362, 4657, 2470, 540, 519, 5769, 2306, 621, 2352, 547, 1832, 909, 3562, 15082, 538, 4974, 922, 2360, 269, 1809, 646, 11099, 922, 3310, 593, 1893, 568, 1507, 269, 634, 1292, 1198, 540, 519, 5769, 593, 1893, 568, 519, 1259, 621, 814, 3773, 547, 519, 22192, 17381, 540, 1893, 267, 3246, 1893, 609, 513, 1007, 1305, 540, 32705, 2645, 602, 10093, 1405, 11478, 538, 519, 2250, 269, 8210, 514, 808, 753, 523, 568, 13653, 540, 4880, 299, 22857, 2593, 267, 606, 2228, 8675, 540, 519, 5769, 543, 1257, 20261, 2474, 269, 2701, 3081, 519, 1007, 2029, 814, 711, 4957, 4540, 1893, 855, 814, 7494, 3773, 547, 922, 6863, 269, 26023, 621, 781, 5191, 540, 4082, 269, 1656, 1018, 827, 1346, 3610, 945, 1265, 891, 1007, 5686, 540, 9073, 538, 10259, 543, 8239, 538, 741, 1053, 262, 960, 286, 1548, 568, 1200, 5048, 547, 873, 286, 8210, 514, 808, 753, 523, 1767, 267, 834, 296, 993, 2141, 593, 519, 1053, 262, 2427, 543, 4465, 1405, 1205, 14220, 610, 13347, 827, 602, 269, 1403, 621, 781, 4543, 519, 3214, 2328, 811, 610, 5968, 811, 267, 602, 781, 1390, 269, 2334, 781, 1018, 3610, 543, 7855, 1616, 734, 1729, 1205, 3214, 14379, 1701, 1809, 8210, 514, 808, 753, 523, 543, 6424, 32423, 3858, 609, 661, 32642, 9652, 593, 693, 2547, 835, 3364, 269, 11334, 991, 547, 1118, 2386, 1053, 1174, 519, 3096, 543, 3652, 540, 1893, 269, 6424, 32423, 543, 8210, 514, 808, 753, 523, 2671, 519, 2070, 602, 519, 5769, 567, 9041, 476, 4586, 271, 269, 814, 4957, 938, 1893, 1062, 454, 272, 269, 814, 6766, 938, 1893, 7494, 454, 273, 269, 2306, 1893, 21950, 538, 4082, 454, 274, 269, 2306, 1893, 9875, 547, 1174, 454, 12585, 281, 476, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1729, 3651, 713, 1110, 1275, 547, 707, 700, 5960, 563, 2171, 723, 513, 1007, 543, 4824, 1224, 593, 713, 1888, 269, 8437, 454, 2171, 723, 6410, 782, 1543, 585, 713, 1523, 547, 454, 1721, 1732, 3919, 269, 7490, 9337, 707, 1433, 12201, 9935, 563, 2414, 1732, 10891, 856, 1543, 267, 649, 723, 10002, 21242, 713, 1523, 269, 901, 2985, 786, 581, 6569, 538, 2104, 563, 26368, 5384, 538, 476, 272, 5336, 514, 1393, 3955, 10094, 454, 307, 749, 942, 538, 476, 272, 8792, 11996, 269, 10576, 519, 942, 593, 513, 9219, 543, 6460, 621, 883, 1913, 543, 5924, 3059, 3898, 269, 700, 11229, 1141, 519, 7508, 8792, 1688, 593, 513, 9219, 1058, 581, 563, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 10112, 793, 547, 4147, 454, 11754, 547, 7732, 454, 18704, 609, 26643, 454, 21008, 532, 5565, 1849, 4169, 547, 14419, 6904, 2290, 568, 2423, 17067, 610, 13536, 454, 28062, 513, 1543, 5470, 888, 24718, 1079, 23234, 547, 3313, 799, 835, 568, 4505, 610, 2663, 454, 21316, 8160, 12788, 269, 14225, 269, 22903, 278, 630, 26368, 5384, 538, 476, 272, 5336, 514, 1393, 3955, 10094, 910, 16504, 4569, 6103, 476, 276, 994, 21316, 8160, 12788, 269, 14225, 269, 22903, 278, 630, 26368, 5384, 538, 476, 272, 5336, 514, 1393, 3955, 10094, 910, 20970, 994, 12988, 547, 519, 454, 9008, 540, 519, 2985, 20875, 454, 302, 3591, 267, 5654, 899, 12897, 616, 16981, 593, 707, 11422, 269, 8437, 454, 1729, 1294, 875, 547, 5512, 873, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 17683, 281, 30016, 268, 279, 20609, 8894, 1029, 10461, 1029, 815, 1412, 15728, 344, 28847, 258, 19425, 16343, 16948, 30775, 542, 525, 632, 2267, 345, 600, 1304, 334, 780, 3698, 30434, 541, 263, 6062, 329, 657, 267, 19702, 1963, 2187, 825, 2267, 345, 15606, 17342, 6540, 825, 23984, 20135, 284, 6352, 263, 6062, 329, 657, 264, 1948, 512, 4821, 25123, 632, 13619, 340, 657, 454, 825, 23984, 20135, 322, 668, 657, 5448, 284, 6352, 263, 6062, 329, 657, 314, 271, 8079, 1948, 339, 4821, 25123, 632, 11353, 454, 825, 5378, 611, 284, 339, 600, 20135, 322, 668, 657, 5448, 270, 273, 454, 825, 1247, 7003, 263, 6062, 329, 657, 25631, 284, 271, 912, 1038, 2119, 912, 2018, 513, 284, 6062, 329, 657, 314, 271, 2639, 2018, 5378, 611, 272, 815, 513, 314, 271, 281, 2466, 611, 2639, 2018, 5378, 611, 273, 815, 513, 314, 2466, 611, 281, 339, 600, 20135, 322, 668, 657, 5448, 2639, 2018, 536, 284, 6062, 329, 657, 314, 272, 2639, 2018, 5378, 611, 274, 815, 536, 314, 271, 281, 2466, 611, 2639, 2018, 5378, 611, 275, 815, 536, 314, 2466, 611, 281, 339, 600, 20135, 322, 668, 657, 5448, 2639, 2018, 5378, 611, 272, 23785, 2466, 611, 275, 454, 2018, 5378, 611, 274, 23785, 2466, 611, 273, 454, 2018, 2267, 345, 15606, 6910, 263, 2466, 611, 272, 994, 2018, 2267, 345, 15606, 6910, 263, 2466, 611, 274, 994, 2018, 1642, 554, 6359, 657, 314, 271, 2639, 2018, 1642, 554, 6359, 657, 314, 271, 2639, 1038, 4849, 12039, 13286, 267, 324, 912, 2018, 2267, 345, 15606, 6910, 5416, 994, 2018, 2736, 454, 825, 2132, 2267, 345, 15606 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 8605, 540, 13216, 7089, 609, 1230, 24503, 622, 676, 29961, 543, 9061, 8605, 692, 1012, 14497, 692, 4131, 1269, 345, 318, 272, 259, 543, 1269, 345, 318, 273, 259, 581, 1950, 2338, 780, 10190, 1384, 7445, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 815, 1422, 10012, 2715, 345, 318, 272, 1422, 15132, 1990, 318, 273, 348, 1341, 1775, 1422, 10012, 2715, 345, 318, 272, 1422, 9392, 1990, 318, 273, 10592, 3602, 1384, 7445, 28235, 2715, 345, 318, 272, 4151, 18575, 519, 1950, 31669, 540, 1269, 345, 318, 272, 14204, 259, 345, 318, 272, 1422, 15132, 1990, 318, 273, 259, 18575, 519, 1950, 12297, 1587, 540, 1269, 345, 318, 272, 259, 609, 1269, 345, 318, 273, 14204, 259, 345, 318, 272, 1422, 9392, 1990, 318, 273, 259, 18575, 519, 1950, 3444, 1587, 540, 1269, 345, 318, 272, 259, 609, 1269, 345, 318, 273, 16859, 1012, 19577, 692, 4399, 1091, 259, 476, 4399, 1091, 1422, 10012, 2715, 345, 318, 272, 1422, 15132, 1990, 318, 273, 348, 1341, 1775, 1422, 10012, 2715, 345, 318, 272, 1422, 9392, 1990, 318, 273, 4151, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 10012, 2715, 345, 318, 272, 1422, 15132, 1990, 318, 273, 348, 1341, 1775, 1422, 2765, 11513, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 910, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 7684, 2715, 273, 1775, 4151, 9502, 1109, 275, 540, 21070, 9061, 8605, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 1341, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 7684, 476, 273, 1341, 1422, 2765, 11513, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 910, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 7684, 476, 273, 259, 9502, 1109, 275, 540, 29961, 8605, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 1341, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 1341, 1422, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 910, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 7684, 476, 273, 259, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 6911, 7445, 4565, 2931, 13645, 259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 2979, 454, 337, 815, 703, 263, 3863, 17750, 3890, 9239, 2745, 10581, 263, 276, 8358, 15615, 263, 274, 994, 2745, 2979, 32564, 265, 1911, 876, 269, 271, 454, 2745, 476, 274, 269, 15221, 30020, 4792, 274, 6812, 280, 8064, 274, 2537, 454, 2745, 10581, 16868, 264, 1262, 273, 2608, 476, 274, 269, 15221, 30020, 4792, 274, 6812, 280, 8064, 274, 2537, 692, 2745, 10581, 263, 273, 265, 337, 1262, 273, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 513, 14297, 2749, 5030, 1079, 8049, 2828, 267, 15207, 543, 8861, 269, 1358, 6068, 782, 12204, 540, 5026, 267, 855, 741, 5172, 729, 11176, 269, 2290, 1554, 1247, 4730, 6952, 267, 789, 9289, 16965, 267, 968, 296, 4898, 950, 519, 7887, 11176, 3014, 3323, 9495, 692, 306, 19488, 267, 513, 7874, 9813, 3957, 2098, 1251, 7902, 256, 1261, 1185, 1044, 8384, 873, 1404, 543, 4862, 741, 2243, 269, 2098, 1251, 6045, 267, 968, 763, 4102, 5993, 1977, 11176, 2680, 267, 1572, 519, 2048, 21841, 30558, 8730, 3459, 538, 476, 3422, 278, 14325, 20755, 3240, 4280, 31113, 267, 968, 1432, 2306, 621, 865, 2706, 267, 2098, 1251, 9495, 1677, 799, 646, 14452, 267, 968, 11039, 267, 621, 6770, 1927, 519, 1655, 6887, 689, 1312, 2101, 682, 8046, 910, 519, 715, 15598, 543, 519, 589, 15598, 1848, 8861, 3773, 267, 968, 4517, 1346, 6887, 4339, 585, 513, 21743, 512, 15577, 267, 1318, 9495, 2060, 513, 12162, 267, 2098, 1251, 1767, 267, 968, 8133, 267, 8197, 256, 898, 781, 3957, 1310, 513, 1390, 16455, 267, 966, 1550, 700, 4861, 31651, 14325, 2026, 789, 4797, 6158, 267, 2098, 1251, 3838, 875, 519, 1523, 540, 519, 8111, 30558, 7153, 1813, 547, 519, 796, 2305, 540, 519, 1079, 12721, 682, 8046, 269, 4256, 4901, 4682, 4514, 883, 1620, 1648, 4483, 1282, 21611, 1063, 5716, 543, 11084, 267, 11341, 621, 1394, 547, 519, 5163, 543, 4229, 6594, 538, 2257, 1362, 780, 9617, 1287, 267, 1776, 5624, 1222, 8452, 8876, 811, 30659, 945, 849, 4941, 547, 1451, 827, 1480, 2528, 543, 5026, 269, 1717, 267, 891, 8436, 14201, 1405, 607, 7874, 282, 3079, 267, 789, 10645, 9562, 936, 3047, 781, 3756, 269, 28214, 8825, 267, 15207, 6700, 1565, 827, 14619, 676, 4259, 909, 3652, 543, 3858, 532, 547, 2463, 3025, 3238, 1107, 3425, 267, 30659, 267, 543, 1256, 954, 6549, 12519, 4715, 2209, 7567, 780, 313, 1251, 8815, 9020, 16484, 267, 6031, 267, 968, 6546, 4992, 899, 513, 9735, 1544, 256, 2913, 721, 3314, 602, 9316, 543, 9322, 666, 1291, 547, 3152, 18399, 585, 782, 7919, 267, 1100, 2339, 1018, 4541, 649, 2097, 689, 1848, 1656, 3976, 267, 609, 16012, 7326, 791, 14975, 267, 1312, 6105, 8120, 1753, 25678, 267, 6028, 938, 1762, 12325, 609, 513, 3407, 3992, 827, 9322, 267, 6735, 267, 543, 3621, 3741, 11251, 538, 741, 11537, 2250, 830, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 568, 519, 2626, 547, 713, 2243, 286, 799, 7819, 23242, 2680, 3576, 1747, 585, 519, 1101, 942, 538, 476, 3422, 278, 888, 763, 2626, 547, 713, 2243, 568, 519, 8111, 30558, 269, 634, 1101, 8111, 30558, 267, 1634, 607, 8111, 30558, 594, 267, 3576, 1747, 593, 5130, 476, 1428, 267, 476, 3422, 278, 269, 901, 1977, 23242, 2680, 568, 519, 23594, 1222, 3014, 5129, 12422, 1063, 519, 23602, 540, 519, 2817, 25624, 10985, 630, 301, 15598, 264, 543, 519, 1977, 25624, 10985, 630, 288, 15598, 264, 1369, 519, 2817, 25624, 13477, 630, 301, 14566, 6393, 21841, 30558, 594, 12286, 519, 5682, 7345, 13268, 619, 267, 8204, 519, 715, 14566, 267, 543, 519, 17857, 4975, 12751, 338, 267, 8204, 519, 1977, 25624, 13477, 630, 288, 14566, 1040, 2311, 602, 942, 267, 519, 715, 14566, 543, 589, 14566, 941, 15180, 682, 8046, 267, 543, 519, 3014, 729, 8385, 5219, 547, 607, 519, 589, 14566, 9539, 14566, 2622, 29073, 1222, 10794, 269, 634, 13268, 619, 4465, 519, 3014, 609, 513, 6060, 540, 476, 3374, 268, 1015, 267, 543, 13268, 619, 262, 2212, 16455, 966, 1550, 700, 4861, 31651, 1131, 2663, 723, 519, 512, 15577, 13752, 547, 519, 10888, 2319, 3957, 538, 1010, 8956, 1107, 519, 966, 1550, 700, 4861, 31651, 570, 15577, 780, 763, 2856, 540, 519, 8111, 30558, 3357, 883, 6228, 607, 513, 1267, 540, 519, 589, 14566, 9539, 14566, 32421, 538, 476, 272, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 22712, 878, 10134, 1895, 2882, 782, 540, 519, 1739, 267, 4849, 519, 454, 288, 269, 5318, 639, 14694, 529, 563, 289, 269, 22833, 10134, 3185, 528, 529, 563, 290, 269, 5318, 639, 31443, 529, 563, 291, 269, 6439, 639, 3185, 528, 529, 563, 292, 269, 5318, 639, 10827, 639, 454, 763, 22712, 878, 10134, 4887, 1895, 4564, 2185, 3982, 6091, 602, 960, 1927, 538, 1931, 547, 3132, 10137, 538, 519, 1850, 693, 519, 12597, 4745, 269, 1452, 6091, 616, 1336, 593, 519, 18751, 2427, 540, 519, 1850, 563, 12585, 543, 19247, 912, 8450, 2407, 2626, 2630, 563, 289, 22877, 513, 4759, 543, 12260, 782, 5530, 12226, 454, 2521, 621, 1981, 6954, 585, 476, 1789, 2395, 2521, 621, 1981, 6954, 454, 16485, 513, 2243, 454, 5978, 4966, 666, 2626, 707, 9157, 6780, 543, 1353, 2055, 269, 16485, 513, 2243, 9105, 513, 2243, 454, 9596, 811, 827, 713, 1888, 912, 5228, 6637, 476, 1691, 1315, 7689, 476, 1691, 454, 1607, 3992, 12857, 519, 2101, 20258, 4887, 2516, 540, 519, 1480, 1560, 269, 898, 2882, 12383, 267, 1806, 267, 543, 11673, 585, 1142, 2101, 1895, 269, 589, 5618, 7688, 543, 14805, 566, 540, 1883, 2798, 616, 849, 3769, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 10789, 476, 273, 692, 14006, 539, 676, 593, 16317, 5804, 513, 476, 7367, 2275, 731, 16064, 513, 3556, 568, 6537, 543, 1287, 8719, 269, 2991, 519, 16064, 568, 695, 4428, 1194, 267, 513, 2034, 3556, 568, 6537, 269, 4855, 519, 5506, 540, 1142, 2680, 563, 320, 264, 1312, 6486, 616, 15731, 780, 1892, 10789, 476, 273, 910, 2073, 692, 5575, 596, 723, 547, 2626, 875, 1082, 15731, 616, 538, 513, 16064, 540, 476, 7367, 6486, 8627, 3973, 596, 2322, 602, 1297, 936, 476, 7367, 2439, 1892, 10789, 476, 273, 910, 2073, 692, 263, 1724, 270, 7367, 7565, 1724, 270, 7367, 994, 14352, 272, 270, 275, 7565, 272, 270, 275, 994, 284, 476, 272, 270, 1626, 692, 1892, 10789, 476, 273, 910, 2073, 692, 9767, 3548, 856, 1250, 1085, 549, 3256, 543, 11116, 1250, 1781, 611 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 270, 7090, 454, 5814, 19523, 454, 5814, 4351, 692, 604, 7003, 4433, 903, 27769, 341, 264, 2999, 476, 274, 912, 825, 1820, 1412, 5825, 720, 281, 2999, 6358, 26417, 285, 2999, 3712, 12173, 19056, 7272, 4202, 285, 2999, 16059, 26417, 285, 7055, 825, 1820, 1412, 11754, 9587, 547, 26417, 267, 897, 12173, 19056, 7272, 4202, 4806, 568, 897, 4067, 272, 281, 7407, 272, 267, 3712, 4067, 273, 281, 7407, 273, 28847, 3712, 338, 318, 273, 318, 5417, 815, 19523, 27769, 341, 314, 273, 4940, 12294, 14061, 29328, 14061, 20889, 263, 3299, 5073, 3650, 518, 318, 6572, 815, 834, 4840, 7853, 318, 6572, 815, 834, 5016, 1721, 897, 538, 897, 338, 318, 273, 318, 5417, 912, 825, 2012, 19056, 7272, 1515, 815, 897, 21858, 3488, 281, 5073, 825, 952, 7003, 28442, 19056, 7272, 1515, 264, 2652, 476, 273, 912, 1038, 20927, 318, 6572, 6834, 9497, 2437, 1341, 2012, 19056, 7272, 1515, 314, 271, 7481, 1038, 1560, 318, 6572, 6834, 9497, 2437, 1341, 2012, 19056, 7272, 1515, 314, 272, 7481, 2745, 20927, 318, 6572, 267, 1560, 318, 6572, 692, 325, 334, 815, 1930, 4433, 903, 27769, 341, 314, 274, 4940, 29328, 19572, 1412, 342, 5073, 529, 318, 3650, 518, 815, 476, 272, 692, 1721, 561, 538, 1930, 4433, 903, 27769, 341, 314, 272, 4940, 29328, 3890, 2187, 825, 952, 568, 318, 3650, 518, 2652, 476, 272, 912, 1038, 9087, 22182, 10857, 14714, 8692, 3890, 1341, 20927, 318, 6572, 1341, 27719, 333, 5602, 1038, 568, 318, 3650, 518, 815, 476, 271, 454, 825, 3116, 912, 1038, 9087, 22182, 10857, 14714, 8692, 3890, 1341, 1560, 318, 6572, 1341, 27719, 333, 5602, 325, 334, 25379, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1215, 798, 596, 1265, 519, 3328, 1871, 540, 513, 1599, 2496, 32051, 281, 6715, 23552, 1109, 14872, 692, 17345, 281, 20145, 1109, 14872, 692, 3725, 10589, 27493, 16497, 1384, 1012, 11137, 281, 19105, 9577, 10025, 692, 1607, 2243, 814, 922, 1378, 6131, 3992, 1109, 14872, 269, 5269, 2386, 547, 2638, 621, 856, 952, 596, 991, 513, 811, 9488, 1224, 267, 610, 1616, 547, 1831, 606, 4274, 593, 875, 3328, 1599, 1871, 2982, 909, 593, 4255, 780, 1012, 9577, 19105, 10025, 692, 763, 3328, 1871, 540, 513, 1599, 568, 1312, 16022, 543, 9642, 269, 898, 568, 16022, 538, 602, 621, 4564, 519, 834, 320, 2071, 4463, 257, 540, 519, 1599, 936, 513, 1978, 8884, 269, 4595, 519, 834, 19417, 257, 540, 513, 1599, 693, 513, 1808, 1269, 343, 259, 4087, 568, 519, 1599, 781, 1871, 693, 602, 1269, 343, 8961, 621, 2306, 2631, 602, 519, 3328, 1599, 1871, 666, 581, 11617, 14648, 607, 519, 3328, 4463, 540, 519, 1599, 23130, 2306, 621, 9642, 568, 602, 649, 2811, 6158, 827, 2921, 606, 3328, 540, 1945, 6024, 267, 799, 4422, 1996, 938, 6151, 20932, 689, 2776, 25575, 5040, 5736, 8847, 540, 7384, 25939, 269, 1284, 2356, 1589, 540, 25939, 607, 834, 8999, 909, 782, 519, 2338, 543, 7941, 676, 519, 1297, 540, 2474, 2668, 18641, 267, 1247, 649, 949, 4782, 519, 811, 6899, 9183, 540, 19011, 1645, 513, 15768, 1297, 540, 3688, 267, 519, 4542, 585, 3328, 1599, 1871, 849, 5205, 519, 2856, 540, 2040, 2719, 782, 2418, 543, 12270, 7868, 3328, 1599, 1871, 585, 513, 1599, 1269, 325, 3287, 7751, 593, 519, 8884, 1269, 314, 320, 14720, 316, 259, 568, 2016, 676, 281, 11377, 9507, 346, 13510, 326, 348, 1422, 12101, 12101, 12101, 267, 1422, 9507, 346, 1998, 348, 815, 1422, 2765, 3189, 842, 3709, 320, 8703, 321, 348, 535, 3287, 264, 22773, 15848, 25452, 321, 8584, 6525, 24718, 713, 609, 513, 15768, 3328, 540, 513, 1592, 540, 1269, 343, 259, 2418, 267, 20270, 343, 318, 272, 267, 1422, 12101, 267, 1535, 318, 273, 267, 1422, 12101, 267, 1422, 25854, 1422, 12101, 267, 1535, 5332, 4151, 281, 11377, 9507, 346, 13510, 326, 348, 1422, 12101, 12101, 12101, 267, 1422, 9507, 346, 1998, 348, 815, 1422, 2765, 3189, 8999, 3709, 328, 284, 272, 8703, 333, 348, 1535, 10983, 2410, 333, 6525, 26139, 267, 713, 568, 1360, 2147, 1523, 1302, 267, 865, 23248, 602, 2337, 596, 3314, 713, 1007, 7533, 4542, 952, 596, 723, 547, 27655, 621, 2336, 1892, 15019, 12474, 454, 1892, 5192, 570, 4381, 454, 1892, 4033, 853, 4428 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 476, 7871, 269, 26228, 4427, 6783, 454, 258, 14168, 454, 16482, 258, 476, 4366, 275, 276, 454, 16482, 258, 476, 5197, 454, 16482, 258, 674, 2948, 924, 454, 16482, 258, 9523, 454, 258, 9717, 606, 8870, 5044, 15358, 267, 1265, 519, 733, 27631, 1016, 6783, 630, 935, 8877, 693, 2547, 835, 1297, 264, 799, 814, 519, 4102, 2040, 543, 2132, 922, 2040, 563, 16482, 258, 7151, 912, 16482, 258, 18452, 281, 30585, 273, 267, 272, 16427, 274, 267, 275, 16427, 272, 267, 273, 267, 272, 16427, 276, 267, 275, 16689, 258, 19243, 281, 476, 277, 454, 258, 19247, 281, 1496, 275, 16427, 272, 267, 273, 267, 272, 316, 814, 519, 4102, 2040, 815, 476, 277, 563, 258, 7427, 909, 912, 16482, 258, 1403, 596, 723, 23125, 856, 519, 744, 3799, 264, 3070, 267, 2119, 8193, 1776, 3070, 1210, 519, 7941, 543, 20630, 1935, 267, 799, 568, 811, 11029, 563, 16482, 5035, 8827, 912, 453, 258, 744, 3799, 994, 825, 1219, 3193, 8138, 26161, 4311, 267, 15358, 2187, 1038, 562, 815, 7003, 25225, 994, 672, 453, 29514, 10946, 815, 15358, 314, 271, 2639, 672, 453, 2017, 337, 815, 15358, 314, 271, 2639, 672, 22610, 1775, 538, 2039, 263, 272, 19885, 2187, 672, 453, 453, 258, 2856, 281, 952, 2040, 30385, 2073, 1775, 316, 2999, 1775, 267, 1964, 691, 28364, 689, 1775, 3097, 672, 453, 453, 2017, 337, 815, 3193, 25225, 5157, 3910, 28364, 1341, 15358, 5157, 7481, 672, 453, 453, 29514, 10946, 815, 3193, 263, 29514, 10946, 267, 28364, 994, 672, 16596, 2518, 10946, 19638, 692, 825, 1948, 5696, 1393, 3196, 454, 825, 1948, 570, 3799, 264, 815, 562, 1341, 630, 333, 268, 272, 264, 1341, 630, 333, 268, 273, 264, 1341, 3267, 1341, 476, 272, 815, 744, 3799, 317, 273, 994, 825, 1948, 11742, 3970, 25295, 3097, 825, 1219, 3193, 8138, 26161, 273, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 5727, 8931, 1038, 562, 815, 7003, 25225, 994, 1038, 952, 562, 2652, 476, 271, 912, 2018, 2132, 476, 271, 454, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 15358, 314, 271, 2639, 13872, 1038, 3193, 21653, 815, 3193, 25225, 994, 1038, 1775, 815, 476, 271, 454, 1038, 1247, 1775, 2999, 562, 268, 272, 912, 2018, 952, 15358, 5157, 316, 2999, 476, 271, 281, 1948, 933, 21645, 1616, 2258, 3097, 3546, 1775, 815, 1775, 1341, 476, 272, 3097, 2018, 521, 815, 15358, 5157, 2639, 2018, 585, 795, 538, 2039, 9217, 266, 272, 19885, 2187, 3546, 521, 6834, 15358, 14728, 2639, 3546, 3193, 21653, 815, 3193, 32384, 21653, 29679, 994, 2018, 1775, 6834, 476, 272, 454, 1038, 2132, 3193, 21653 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 6904, 3864, 2749, 568, 6039, 676, 3057, 793, 2033, 23076, 888, 12585, 281, 3057, 572, 14792, 454, 2704, 328, 1162, 281, 7345, 540, 3057, 572, 4068, 267, 3057, 572, 4068, 630, 293, 8896, 1070, 3057, 572, 14792, 267, 3057, 572, 4068, 267, 5333, 267, 9370, 580, 20377, 267, 3057, 1088, 3873, 267, 7136, 559, 2103, 267, 6167, 13624, 302, 4596, 14701, 281, 15709, 300, 11965, 267, 634, 4365, 538, 3057, 572, 4068, 267, 7136, 26515, 267, 7136, 27482, 267, 7136, 23158, 267, 9370, 320, 14792, 267, 9370, 1408, 548, 267, 3057, 572, 4068, 267, 4975, 540, 3057, 572, 4068, 267, 634, 4365, 538, 3057, 572, 14792, 267, 9370, 841, 548, 267, 7136, 531, 3999, 525, 267, 9370, 328, 21304, 267, 3057, 572, 8759, 529, 267, 3057, 572, 14792, 267, 5333 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 266, 271, 692, 271, 454, 14056, 454, 272, 692, 763, 4320, 540, 513, 12106, 568, 1109, 3607, 11027, 1109, 514, 23326, 780, 1432, 568, 519, 8953, 540, 519, 12106, 2496, 10817, 652, 1109, 15037, 476, 1691, 267, 476, 1001, 278, 454, 31374, 1384, 258, 272, 454, 266, 279, 5780, 5392, 454, 266, 276, 692, 309, 4944, 1877, 1109, 815, 630, 275, 270, 274, 264, 2608, 14039, 2608, 678, 317, 274, 1741, 10371, 1862, 810, 1862, 780, 3607, 14039, 1109, 815, 630, 275, 270, 274, 264, 14039, 678, 317, 274, 3396, 7941, 856, 1109, 14039, 692, 3607, 815, 630, 275, 270, 274, 264, 678, 317, 274, 3396, 1741, 9062, 676, 476, 274, 270, 275, 692, 3607, 263, 274, 270, 275, 264, 1109, 815, 678, 317, 274, 692, 2767, 1109, 815, 678, 317, 274, 3396, 1741, 1491, 13306, 3597, 540, 1312, 5011, 692, 274, 538, 1741, 815, 5231, 678, 692, 290, 4942, 650, 476, 1109, 15037, 476, 1691, 267, 476, 1001, 278 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 21414, 519, 3970, 4399, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 10592, 296, 991, 547, 6218, 519, 1739, 3970, 1384, 7445, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 10592, 296, 723, 16611, 1312, 5011, 676, 519, 31669, 4399, 6912, 12757, 317, 273, 266, 276, 15396, 274, 259, 855, 993, 3478, 1269, 343, 317, 273, 268, 275, 259, 607, 519, 14009, 269, 1772, 713, 519, 2953, 1259, 547, 979, 827, 621, 2496, 1892, 5620, 596, 2808, 561, 262, 295, 641, 1388, 781, 4341, 286, 1107, 1109, 289, 517, 333, 611, 3089, 4239, 476, 1724, 1412, 1724, 693, 476, 1428, 281, 4391, 454, 1892, 476, 1015, 268, 1556, 3764, 269, 476, 1107, 1109, 12441, 4239, 476, 1724, 1412, 1724, 693, 476, 1428, 281, 4649, 692, 8133, 8197, 267, 602, 781, 519, 1259, 547, 979, 827, 621, 269, 3767, 267, 649, 723, 1422, 8218, 9387, 348, 1422, 3916, 3709, 343, 1422, 1729, 476, 273, 4153, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 348, 1299, 815, 1422, 3916, 3709, 343, 1422, 1729, 476, 273, 4153, 13320, 18950, 343, 268, 273, 264, 7268, 6912, 12757, 317, 273, 1341, 476, 276, 348, 1341, 476, 274, 20972, 343, 317, 273, 910, 476, 275, 348, 8607, 8607, 1299, 815, 1422, 3916, 3709, 343, 1422, 1729, 476, 273, 4153, 13320, 18950, 343, 268, 273, 264, 7268, 6912, 12757, 317, 273, 1341, 476, 276, 348, 1341, 476, 274, 20972, 263, 343, 910, 476, 273, 7565, 343, 266, 273, 14587, 8607, 8607, 1299, 1422, 13569, 564, 12757, 315, 928, 336, 476, 273, 2410, 284, 348, 1422, 3916, 3709, 343, 1422, 1729, 476, 273, 4153, 13320, 11513, 6912, 12757, 317, 273, 1341, 476, 276, 348, 1341, 476, 274, 2410, 343, 266, 273, 348, 8607, 8607, 1299, 815, 1422, 13320, 476, 5038, 815, 1422, 2765, 476, 3953, 17910, 9387, 10926, 5804, 1018, 596, 723, 3893, 267, 596, 666, 3274, 22599, 519, 3815, 18159, 343, 268, 273, 7751, 689, 1312, 19362, 543, 14009, 269, 2991, 602, 267, 596, 666, 12990, 1269, 343, 284, 273, 259, 883, 519, 4082, 543, 3489, 519, 3970, 780, 2791, 616, 593, 519, 1318, 3950, 780, 7445, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 18098, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 348, 1422, 2765, 3189, 6912, 12757, 317, 273, 266, 276, 15396, 274, 7346, 6912, 12757, 317, 273, 266, 276, 15396, 274, 18098, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 18950, 343, 268, 273, 264, 7268, 6912, 12757, 317, 273, 266, 276, 15396, 274, 20972, 263, 343, 268, 273, 7565, 343, 266, 273, 264, 4151, 28976, 6695, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 346, 7268, 6912, 12757, 317, 273, 266, 276, 15396, 274, 20972, 263, 343, 266, 273, 264, 6525, 543, 10442, 693, 1269, 273, 259, 649, 1205, 692, 11377, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 346, 7268, 6912, 12757, 317, 273, 266, 276, 15396, 274, 20972, 263, 343, 266, 273, 264, 13157, 1422, 2765, 346, 7268, 6912, 346, 275, 266, 276, 15396, 274, 20972, 263, 273, 266, 273, 14587, 7807, 2765, 346, 277, 2410, 275, 18098, 2765, 346, 274, 2410, 273, 15732, 1103, 4399, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 4151, 1577, 1269, 343, 815, 586, 266, 273, 16859, 1607, 3587, 692, 17961, 9387, 348, 1422, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7346, 6912, 18950, 344, 266, 273, 8203, 273, 266, 276, 18511, 274, 348, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7346, 6912, 26635, 317, 273, 266, 275, 344, 266, 275, 266, 276, 18511, 274, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7346, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 18511, 274, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7346, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 18511, 274, 4153, 2765, 3189, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 7346, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 20972, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 18511, 274, 264, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 264, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 20972, 263, 344, 317, 273, 266, 275, 344, 266, 280, 9984, 280, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 20972, 344, 317, 273, 266, 275, 344, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 3189, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 2410, 344, 266, 275, 27874, 1299, 7807, 2765, 3189, 6912, 346, 280, 15396, 274, 2410, 275, 27874, 1299, 7807, 2765, 346, 277, 2410, 275, 27874, 1299, 7807, 2765, 346, 274, 2410, 273, 27874, 1422, 754, 9387, 348 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 29571, 6388, 1210, 476, 273, 6581, 1132, 563, 258, 6581, 826, 8045, 568, 676, 1210, 6422, 14249, 609, 7368, 30945, 563, 692, 5035, 6581, 826, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3970, 284, 1015, 2187, 1038, 1582, 269, 28255, 815, 1496, 14085, 30297, 3916, 527, 454, 1038, 1582, 8807, 3224, 815, 910, 272, 454, 1038, 1582, 18622, 541, 815, 3970, 268, 272, 454, 1038, 1582, 269, 3916, 527, 815, 3970, 454, 1038, 1582, 25915, 815, 476, 271, 692, 825, 1219, 568, 9078, 770, 4311, 2187, 1038, 952, 630, 1345, 8807, 3224, 266, 272, 264, 4939, 1582, 269, 3916, 527, 2652, 1582, 18622, 541, 610, 630, 1345, 8807, 3224, 268, 272, 264, 4939, 1582, 269, 3916, 527, 2652, 1582, 18622, 541, 912, 2018, 2132, 6936, 692, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 1582, 25915, 10922, 476, 271, 692, 825, 1219, 679, 28255, 4311, 267, 1239, 2187, 1038, 952, 1582, 25915, 13843, 1582, 269, 3916, 527, 912, 2018, 1582, 269, 637, 1125, 4590, 1038, 1582, 18622, 541, 815, 630, 1345, 18622, 541, 266, 272, 264, 4939, 1582, 269, 3916, 527, 454, 1038, 1582, 269, 28255, 314, 1345, 18622, 541, 316, 815, 1239, 454, 1038, 1582, 25915, 6834, 476, 272, 692, 825, 1219, 632, 28255, 4311, 2187, 1038, 1582, 8807, 3224, 815, 630, 1345, 8807, 3224, 266, 272, 264, 4939, 1582, 269, 3916, 527, 454, 1038, 1582, 25915, 20699, 476, 272, 454, 1038, 2132, 1582, 269, 28255, 314, 1345, 8807, 3224, 6540, 825, 1219, 759, 1125, 4311, 2187, 1038, 1582, 269, 3916, 527, 2608, 284, 476, 273, 454, 1038, 1007, 318, 28255, 815, 1496, 14085, 30297, 1345, 269, 3916, 527, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 266, 272, 2187, 2018, 1007, 318, 28255, 5157, 316, 815, 1582, 269, 28255, 5157, 2639, 1038, 1582, 269, 28255, 815, 1007, 318, 28255, 454, 1038, 1642, 1007, 318, 28255, 692, 825, 1219, 2450, 4311, 2187, 1038, 2132, 1582, 25915, 692, 825, 1219, 20313, 23631, 541, 4311, 2187, 1038, 2132, 1582, 269, 28255, 314, 1345, 18622, 541, 6540, 454, 5035, 29571, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3970, 284, 1015, 2187, 1038, 1582, 269, 4302, 272, 815, 6581, 826, 263, 3916, 527, 994, 1038, 1582, 269, 4302, 273, 815, 6581, 826, 263, 3916, 527, 994, 1038, 1582, 25915, 815, 476, 271, 692, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 1582, 25915, 10922, 476, 271, 692, 825, 1219, 7903, 4311, 267, 1239, 2187, 1038, 952, 1582, 269, 4302, 272, 18994, 318, 24105, 3890, 543, 1582, 269, 4302, 273, 18994, 318, 24105, 10031, 2018, 1582, 269, 4302, 273, 269, 523, 28255, 16597, 994, 1038, 3116, 912, 2018, 1582, 269, 4302, 272, 269, 523, 28255, 16597, 994, 1038, 1582, 25915, 6834, 476, 272, 692, 825, 1219, 1402, 4311, 2187, 1038, 952, 1582, 18994, 318, 24105, 10031, 2018, 6318, 28759, 2891, 15152, 6503, 32405, 1038, 8640, 1582, 269, 4302, 272, 25915, 3436, 1582, 269, 4302, 273, 25915, 912, 2018, 1247, 711, 1582, 269, 4302, 272, 18994, 9078, 770, 10031, 3546, 1582, 269, 4302, 273, 269, 523, 28255, 4311, 269, 4302, 272, 19709, 28255, 15405, 2018, 1582, 25915, 20699, 476, 272, 454, 2018, 2132, 1582, 269, 4302, 272, 19709, 28255, 4590, 1038, 3116, 912, 2018, 1247, 711, 1582, 269, 4302, 273, 18994, 9078, 770, 10031, 3546, 1582, 269, 4302, 272, 269, 523, 28255, 4311, 269, 4302, 273, 19709, 28255, 15405, 2018, 1582, 25915, 20699, 476, 272, 454, 2018, 2132, 1582, 269, 4302, 273, 19709, 28255, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1269, 347, 343, 347, 910, 1923, 344, 347, 1422, 19008, 1923, 343, 3917, 347, 286, 6911, 3674, 972, 513, 15931, 1259, 547, 1397, 602, 692, 2330, 347, 343, 347, 910, 1923, 344, 347, 1422, 19008, 1923, 343, 3917, 347, 9681, 296, 3494, 594, 666, 1589, 540, 513, 1259, 547, 4194, 713, 1210, 2665, 267, 855, 519, 1433, 594, 6415, 2324, 856, 540, 1767, 602, 834, 288, 1360, 2110, 6169, 568, 2009, 952, 596, 2328, 1919, 538, 519, 1318, 1259, 257, 799, 814, 12592, 803, 547, 4137, 856, 713, 2656, 1259, 267, 855, 594, 4312, 8959, 3976, 2484, 543, 1022, 948, 1131, 581, 15874, 692, 1892, 670, 842, 281, 3503, 1269, 343, 24210, 3917, 20742, 259, 593, 519, 700, 9391, 269, 1107, 1109, 294, 527, 717, 644, 7325, 476, 2190, 1412, 1691, 693, 476, 1704, 281, 2537, 692, 1012, 476, 273, 12226, 692, 7445, 3847, 347, 343, 9368, 347, 7807, 3847, 347, 343, 3917, 20742, 9368, 24689, 19008, 13375, 347, 343, 3917, 9368, 347, 10954, 3847, 347, 344, 9368, 347, 259, 865, 4399, 3847, 347, 343, 9368, 347, 10559, 3847, 347, 344, 9368, 24689, 19008, 13375, 347, 343, 3917, 9368, 347, 6911, 1892, 602, 568, 7168, 15931, 269, 7064, 256, 1107, 1109, 13043, 318, 26877, 30185, 7325, 476, 2190, 1412, 1691, 693, 476, 1704, 281, 4375, 454, 1892, 1411, 616, 1360, 10950, 269, 1107, 1109, 20142, 4725, 7325, 476, 2190, 1412, 1691, 693, 476, 1704, 281, 7906, 692, 7312, 8635, 568, 6697, 547, 519, 6906, 8635, 267, 865, 1210, 621, 18327, 707, 8635, 538, 835, 1900, 269, 630, 8450, 1743, 4725, 781, 2626, 24355, 21413, 1210, 519, 6906, 8635, 267, 649, 666, 1869, 1265, 513, 6169, 602, 3085, 1405, 991, 2665, 1384, 7312, 8635, 568, 6697, 547, 3230, 347, 343, 347, 1422, 548, 1923, 343, 3917, 347, 1341, 1923, 344, 347, 269, 2330, 4595, 1312, 5011, 616, 1875, 24308, 267, 713, 568, 6697, 547, 3230, 347, 343, 347, 317, 273, 1422, 548, 630, 347, 343, 3917, 347, 1341, 1923, 344, 347, 8203, 273, 269, 2330, 12433, 519, 10945, 543, 1205, 7759, 540, 1269, 343, 317, 273, 259, 593, 1312, 5011, 547, 1205, 3230, 271, 315, 548, 476, 273, 344, 317, 273, 268, 273, 15383, 1341, 1341, 476, 273, 347, 263, 343, 3917, 264, 344, 347, 267, 2330, 799, 568, 6697, 547, 3230, 273, 3287, 3917, 264, 344, 1422, 548, 476, 273, 347, 263, 343, 3917, 264, 344, 347, 267, 2330, 799, 568, 3020, 2094, 1269, 345, 315, 548, 347, 345, 347, 259, 585, 782, 1269, 345, 22174, 315, 13992, 681, 10608 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 8193, 281, 30016, 268, 279, 692, 18851, 7078, 540, 3838, 1239, 543, 5198, 2783, 609, 513, 2241, 4831, 799, 568, 454, 27463, 7757, 676, 1079, 16060, 563, 20701, 5228, 6449, 325, 1956, 1029, 1104, 1820, 6958, 4233, 454, 5814, 8142, 532, 692, 7246, 311, 318, 25604, 815, 476, 4335, 271, 692, 290, 3300, 815, 1826, 2891, 290, 3300, 2580, 630, 15953, 267, 1070, 27835, 12248, 9166, 476, 271, 348, 2020, 3698, 27261, 318, 31467, 6262, 3300, 2187, 825, 585, 9041, 538, 2039, 263, 7246, 311, 318, 25604, 2187, 1038, 4831, 29644, 815, 4831, 29644, 1341, 476, 272, 692, 3698, 1292, 10031, 825, 4831, 815, 22388, 4590, 825, 512, 272, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 27463, 618, 318, 31467, 267, 26571, 14352, 322, 3300, 267, 4917, 825, 512, 273, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 27463, 618, 318, 31467, 267, 26571, 14352, 322, 3300, 267, 4917, 825, 512, 273, 269, 11034, 4590, 825, 512, 272, 269, 11034, 4590, 825, 512, 272, 12459, 7765, 4590, 825, 512, 273, 12459, 7765, 4590, 825, 1820, 2891, 290, 3300, 1871, 1412, 24001, 262, 2668, 8971, 6262, 3300, 29644, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 901, 4229, 547, 723, 811, 2796, 15175, 547, 16196, 513, 1239, 5198, 538, 454, 825, 1948, 5124, 476, 273, 543, 5124, 476, 274, 6606, 563, 825, 1104, 19523, 454, 825, 952, 19523, 269, 11437, 318, 16769, 6230, 1994, 2652, 476, 273, 912, 1038, 19523, 15630, 13765, 5793, 1998, 263, 736, 994, 825, 3116, 912, 1038, 1948, 3143, 811, 24217, 538, 5124, 476, 274, 267, 621, 781, 942, 1759, 563, 1038, 1948, 476, 271, 269, 4962, 1984, 1047, 1718, 267, 476, 1911, 271, 2053, 4130, 982, 519, 9949, 630, 276, 1984, 1047, 6948, 994, 1038, 19523, 4732, 1115, 342, 3558, 5793, 1998, 263, 276, 324, 268, 276, 994, 825, 1292, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 269, 279, 257, 27003, 6441, 833, 9995, 7723, 1230, 17917, 910, 28342, 334, 853, 668, 520, 565, 924, 454, 4322, 598, 4038, 687, 616, 4749, 5219, 543, 30630, 547, 607, 853, 668, 520, 565, 924, 630, 10177, 576, 15455, 540, 3473, 531, 10125, 1070, 855, 594, 6415, 7168, 18617, 602, 789, 616, 711, 269, 1879, 2759, 543, 25509, 789, 798, 711, 1397, 10058, 2482, 1359, 3270, 596, 1131, 2503, 547, 1294, 538, 513, 853, 668, 520, 565, 924, 269, 4746, 689, 5359, 593, 519, 4087, 519, 8768, 899, 3270, 616, 1152, 2938, 593, 2627, 6534, 15013, 267, 10834, 789, 616, 3361, 676, 11761, 563, 288, 598, 17917, 568, 513, 2182, 267, 11741, 2527, 540, 4224, 602, 3029, 1472, 513, 22140, 543, 1336, 538, 24348, 4224, 269, 634, 3355, 13540, 602, 3323, 519, 5250, 540, 519, 598, 17917, 568, 3335, 5214, 1570, 269, 1230, 4038, 687, 616, 3335, 20085, 610, 24814, 855, 666, 1491, 593, 930, 1360, 12150, 5546, 1932, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30949, 12700, 910, 670, 3291, 619, 7615, 454, 295, 3291, 619, 7615, 568, 513, 1804, 2344, 4884, 538, 4639, 31920, 267, 1472, 476, 1015, 5195, 5045, 540, 17659, 5112, 267, 519, 14282, 2749, 269, 32163, 730, 2673, 547, 1312, 519, 3162, 24282, 1149, 543, 519, 30078, 10588, 267, 519, 4884, 568, 11303, 676, 11495, 24781, 543, 568, 513, 2442, 10278, 585, 3802, 619, 543, 7814, 1235, 269, 634, 4884, 779, 1292, 5721, 6728, 814, 2769, 2533, 547, 20506, 23051, 543, 25480, 267, 607, 1134, 607, 547, 3875, 824, 7187, 4872, 971, 607, 1715, 31069, 267, 3840, 543, 2274, 2644, 563, 763, 4884, 814, 513, 1297, 540, 15882, 543, 1148, 26847, 269, 2051, 928, 9503, 7467, 6212, 593, 2199, 2324, 1272, 538, 519, 4571, 476, 6642, 271, 338, 267, 1247, 24729, 5459, 17341, 7467, 21269, 513, 9962, 942, 7406, 267, 609, 10070, 1472, 519, 1858, 781, 9998, 13896, 7258, 2413, 13742, 269, 11531, 267, 670, 3291, 619, 7615, 3203, 20155, 20502, 3703, 543, 3486, 1148, 689, 519, 2063, 476, 1911, 1296, 563, 763, 4884, 1101, 9411, 6592, 1686, 538, 4936, 2053, 267, 855, 670, 3291, 619, 7615, 267, 607, 621, 6818, 2221, 267, 3576, 3337, 1282, 519, 11633, 7169, 269, 670, 3291, 619, 7615, 814, 1044, 3238, 538, 519, 15144, 6352, 2872, 585, 5553, 543, 2968, 513, 8998, 585, 519, 19135, 2872, 1282, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18411, 5331, 596, 616, 2542, 538, 513, 6908, 540, 9981, 269, 11270, 1227, 267, 596, 6999, 547, 581, 2111, 547, 1413, 909, 519, 7584, 540, 513, 1297, 1535, 630, 1492, 1297, 540, 2418, 1447, 982, 610, 3160, 547, 1535, 1040, 25956, 519, 1505, 3950, 17301, 1535, 1070, 799, 568, 1572, 950, 1142, 1297, 568, 6383, 543, 519, 1505, 1205, 305, 1678, 8170, 10831, 17301, 1535, 1070, 799, 7024, 519, 1297, 540, 2418, 1447, 982, 610, 3160, 547, 1535, 630, 2254, 1519, 1535, 3294, 6393, 7078, 912, 825, 18452, 281, 20837, 630, 514, 1931, 540, 23079, 2567, 476, 276, 267, 476, 272, 267, 476, 275, 267, 476, 275, 267, 476, 276, 267, 476, 280, 267, 476, 278, 267, 476, 1724, 267, 476, 274, 454, 825, 19243, 281, 1205, 305, 1678, 8170, 10831, 263, 272, 264, 815, 476, 271, 454, 2018, 1205, 305, 1678, 8170, 10831, 263, 274, 264, 815, 476, 272, 454, 2018, 1205, 305, 1678, 8170, 10831, 263, 275, 264, 815, 476, 274, 692, 295, 6493, 281, 476, 22145, 267, 476, 4391, 277, 267, 476, 4375, 273, 454, 18257, 7531, 3698, 7584, 318, 5228, 318, 6894, 4433, 2187, 825, 1780, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 4340, 547, 519, 5114, 3830, 1990, 7224, 1341, 524, 9890, 1071, 273, 1341, 1990, 333, 267, 5173, 519, 2527, 540, 519, 4646, 692, 6097, 547, 519, 5114, 3830, 1990, 7224, 1341, 524, 9890, 1071, 273, 1341, 1990, 333, 267, 5173, 519, 2527, 540, 519, 4646, 3327, 24785, 952, 13058, 12547, 2746, 539, 476, 2412, 269, 276, 575, 692, 4131, 779, 1265, 519, 2179, 540, 13058, 12547, 6219, 31626, 302, 676, 519, 4542, 1384, 333, 815, 544, 281, 631, 780, 300, 630, 313, 333, 302, 264, 815, 476, 4792, 1341, 476, 1626, 815, 476, 10037, 575, 1315, 12387, 780, 333, 815, 476, 2412, 269, 276, 575, 281, 476, 10037, 575, 1315, 12387, 815, 476, 271, 269, 276, 12387, 780, 4131, 779, 17492, 519, 5114, 3830, 267, 1265, 519, 11050, 12753, 540, 6878, 780, 273, 313, 333, 396, 508, 1341, 595, 815, 476, 273, 313, 333, 1341, 29112, 396, 508, 273, 20875, 780, 6097, 547, 519, 5114, 3830, 267, 972, 568, 476, 272, 3727, 540, 3327, 24785, 585, 476, 273, 12387, 540, 13058, 12547, 269, 15240, 1734, 616, 538, 11050, 12753, 540, 476, 273, 281, 476, 272, 780, 763, 2179, 540, 3327, 24785, 6219, 786, 581, 476, 273, 2053, 1447, 982, 13058, 12547, 780, 273, 333, 630, 313, 333, 302, 264, 815, 562, 630, 4596, 273, 264, 815, 476, 271, 269, 276, 281, 476, 273, 815, 476, 271, 269, 1839, 12387, 780, 8340, 519, 2527, 540, 3327, 24785, 780, 332, 815, 562, 6398, 631, 10484, 300, 630, 4596, 273, 264, 815, 476, 4510, 575, 1315, 12387, 780, 332, 815, 476, 271, 269, 1839, 12387, 6398, 476, 4510, 575, 1315, 12387, 815, 476, 1556, 575, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8340, 856, 1018, 1522, 4755, 952, 596, 586, 11921, 538, 10198, 269, 962, 27681, 538, 13909, 568, 513, 1433, 1532, 663, 539, 2542, 1433, 585, 3384, 3988, 267, 5402, 1377, 1194, 693, 21060, 3883, 17020, 585, 11461, 2542, 269, 27202, 569, 11609, 2429, 267, 713, 476, 23841, 30087, 6586, 2719, 1433, 568, 5078, 585, 6502, 476, 277, 910, 476, 278, 269, 962, 27681, 538, 13909, 2934, 513, 3476, 267, 1447, 11295, 1257, 609, 513, 811, 6905, 6863, 269, 2859, 5339, 1893, 568, 1031, 609, 811, 1950, 4845, 3889, 269, 2859, 2230, 568, 4847, 585, 1257, 982, 585, 5961, 269, 962, 27681, 538, 13909, 568, 851, 540, 681, 22095, 7335, 25578, 267, 513, 11295, 10872, 585, 1453, 1565, 547, 1224, 269, 634, 3126, 814, 19939, 2157, 2185, 18551, 2157, 543, 22221, 1433, 6512, 2157, 25968, 998, 547, 700, 830, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 30975, 281, 14168, 454, 258, 5678, 281, 23911, 454, 258, 5384, 281, 476, 272, 5662, 692, 258, 13517, 281, 763, 2749, 540, 8053, 335, 749, 1512, 814, 9280, 922, 10754, 609, 1219, 2320, 650, 2209, 547, 948, 4688, 9601, 540, 13487, 10654, 338, 454, 258, 9122, 593, 519, 1239, 649, 1683, 538, 519, 4255, 267, 2328, 513, 1982, 602, 786, 1450, 3755, 547, 1265, 519, 1219, 2320, 650, 1807, 14282, 547, 741, 4087, 692, 5814, 19523, 454, 5814, 2979, 692, 3698, 3845, 263, 13036, 517, 267, 667, 23272, 2073, 8085, 517, 2073, 8085, 520, 2187, 825, 1535, 815, 630, 13036, 517, 910, 772, 299, 517, 264, 2608, 2979, 269, 6523, 9230, 8085, 520, 1341, 667, 23272, 8358, 273, 994, 825, 586, 815, 667, 23272, 910, 772, 23272, 454, 825, 546, 815, 2979, 28460, 9638, 578, 3287, 267, 273, 264, 1341, 2979, 4877, 578, 12169, 267, 273, 4297, 2608, 476, 277, 4391, 272, 454, 825, 2132, 546, 692, 23127, 815, 3403, 14061, 516, 2897, 2891, 2437, 267, 834, 23528, 26245, 815, 3403, 14061, 516, 2897, 2891, 2437, 267, 834, 23528, 333, 815, 703, 9272, 15405, 323, 604, 815, 11713, 1721, 1775, 538, 2039, 3799, 2187, 825, 546, 604, 6910, 9272, 14061, 516, 2897, 2891, 2437, 267, 834, 1701, 1040, 20889, 2891, 282, 8442, 2020, 2381, 815, 3845, 263, 15615, 5560, 604, 314, 271, 6012, 268, 273, 25818, 15615, 5560, 604, 314, 271, 6012, 268, 272, 25818, 15615, 10857, 517, 1070, 10581, 10857, 520, 4917, 4067, 815, 546, 604, 314, 271, 6012, 272, 6540, 1721, 1775, 538, 2039, 263, 272, 267, 7003, 5560, 604, 264, 910, 272, 2187, 825, 1535, 815, 3845, 263, 15615, 5560, 604, 5157, 6012, 268, 273, 25818, 15615, 5560, 604, 5157, 6012, 268, 272, 25818, 15615, 10857, 517, 1070, 10581, 10857, 520, 4917, 825, 952, 263, 2381, 3436, 1535, 2187, 1038, 1295, 476, 815, 1535, 454, 1038, 2012, 815, 546, 604, 5157, 6012, 272, 6540, 2745, 28442, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 267, 723, 596, 2479, 2219, 827, 875, 3388, 538, 938, 1158, 568, 10562, 286, 3502, 1175, 9308, 267, 855, 849, 32375, 2496, 7692, 281, 670, 7825, 267, 594, 6557, 711, 2386, 594, 1246, 267, 7705, 269, 1548, 798, 596, 1611, 676, 968, 338, 2869, 527, 1302, 892, 2496, 8334, 281, 4270, 267, 1577, 803, 2491, 1210, 1945, 649, 1312, 1294, 1419, 1107, 20151, 256, 4634, 1498, 1082, 1004, 1522, 581, 12922, 540, 873, 267, 20151, 2965, 2099, 1082, 2318, 2093, 899, 26274, 267, 9639, 267, 543, 7326, 269, 1358, 7618, 721, 602, 1169, 2962, 649, 1491, 5540, 711, 1152, 6000, 855, 849, 1346, 1472, 721, 269, 2334, 779, 851, 540, 1373, 32375, 4448, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 267, 950, 594, 1294, 513, 17178, 18343, 922, 1357, 267, 621, 779, 2870, 4296, 1063, 1114, 2694, 540, 2470, 267, 1318, 286, 3807, 899, 875, 1250, 3527, 1764, 824, 1004, 780, 8334, 281, 22549, 256, 1656, 1705, 596, 917, 602, 1142, 1268, 814, 513, 2189, 31522, 7089, 602, 4564, 945, 789, 616, 2620, 1524, 286, 898, 779, 835, 1259, 547, 1174, 6000, 1732, 543, 1451, 875, 649, 3514, 883, 519, 8273, 4605, 780, 7692, 281, 589, 31522, 7089, 286, 1215, 798, 594, 1265, 9553, 2496, 8334, 281, 1703, 616, 2228, 2645, 602, 948, 5173, 707, 31522, 7089, 1759, 593, 707, 4332, 11845, 269, 1809, 3314, 267, 1256, 952, 6616, 707, 31522, 7089, 3947, 596, 5813, 883, 3054, 267, 621, 3085, 1406, 5581, 945, 596, 616, 4625, 269, 2659, 4555, 267, 4606, 267, 543, 2833, 3337, 596, 1932, 780, 7692, 281, 20944, 15939, 256, 3733, 3158, 2141, 3081, 602, 1702, 568, 1379, 269, 1924, 267, 1565, 827, 8885, 786, 1118, 803, 6793, 267, 26001, 2496, 8334, 281, 8786, 267, 8197, 256, 4197, 3054, 2337, 596, 6330, 519, 1158, 811, 20617, 269, 1280, 3236, 267, 952, 596, 917, 602, 596, 4043, 547, 581, 791, 520, 1304, 3006, 267, 1287, 596, 666, 2259, 1373, 3461, 538, 1978, 3871, 269, 901, 4656, 2306, 596, 1332, 607, 513, 1268, 780, 7692, 281, 15346, 256, 2052, 649, 2263, 811, 827, 713, 2663, 286, 594, 1616, 547, 1397, 9835, 11985, 8751, 1018, 649, 4121, 2221, 269, 1261, 14560, 2831, 543, 1131, 4440, 2972, 6217, 827, 20151, 685, 13513, 780, 8334, 281, 25999, 267, 7585, 256, 19457, 1018, 649, 4076, 4362, 1927, 786, 7794, 938, 6125, 1247, 3450, 2576, 3116, 3407, 4245, 269, 2913, 779, 979, 2911, 547, 1864, 1631, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9209, 3588, 267, 23314, 267, 9639, 267, 21522, 4222, 267, 2025, 7326, 267, 21903, 267, 3666, 267, 543, 14479, 616, 782, 6698, 543, 10096, 2404, 609, 20151, 269, 634, 17178, 568, 606, 2025, 3662, 602, 814, 20948, 519, 3047, 585, 811, 982, 476, 4968, 2929, 1296, 267, 4929, 23487, 538, 930, 543, 7279, 538, 1866, 563, 6524, 1411, 15566, 2483, 2710, 596, 917, 1018, 568, 707, 9997, 1297, 286, 6875, 713, 2656, 7688, 547, 1265, 856, 256, 5192, 513, 10531, 6746, 1108, 1867, 267, 543, 3605, 875, 596, 666, 12260, 707, 2407, 652, 5289, 1761, 269, 3399, 519, 7688, 1631, 2336, 1432, 1281, 7487, 20151, 1611, 32375, 888, 306, 3671, 619, 1404, 606, 1271, 1909, 538, 1312, 938, 2168, 543, 5289, 1272, 267, 1818, 873, 4487, 17615, 649, 28316, 1063, 519, 1079, 269, 1284, 4312, 782, 4810, 17178, 4205, 267, 2436, 621, 729, 17486, 267, 588, 13764, 998, 3103, 267, 610, 3206, 827, 873, 693, 3781, 563, 4322, 9006, 10535, 543, 10728, 7068, 616, 3622, 4448, 609, 9810, 267, 2669, 267, 543, 6668, 267, 543, 789, 2285, 721, 519, 1212, 10134, 563, 4913, 267, 741, 10728, 543, 16160, 2470, 4749, 31083, 20760, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 23168, 1108, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14549, 8188, 4268, 4922, 282, 930, 723, 9962, 1305, 4064, 1247, 1866, 723, 7522, 518, 3283, 267, 543, 562, 4680, 2097, 538, 782, 5546, 543, 7306, 269, 3767, 267, 3744, 723, 1336, 602, 938, 9867, 8188, 616, 519, 1267, 540, 12105, 2604, 547, 1118, 1142, 540, 721, 607, 2189, 543, 3362, 25992, 607, 2009, 563, 27745, 3425, 581, 593, 519, 2357, 613, 540, 513, 2101, 12105, 5912, 286, 2311, 2547, 835, 11001, 11099, 602, 781, 519, 2013, 563, 12867, 723, 1336, 602, 938, 3504, 11937, 262, 2702, 547, 1847, 1472, 543, 1265, 1007, 2959, 540, 15780, 1282, 5393, 3819, 5712, 538, 4000, 6634, 540, 1296, 3516, 949, 723, 1044, 1883, 547, 741, 6668, 543, 4720, 563, 20228, 16251, 949, 581, 3500, 855, 538, 519, 5198, 540, 4720, 267, 789, 2811, 930, 540, 519, 16595, 11864, 856, 972, 563, 2691, 1705, 5135, 26148, 1272, 3029, 1101, 2408, 593, 938, 4541, 286, 898, 729, 513, 3787, 4505, 982, 4397, 269, 12207, 723, 4362, 602, 891, 1272, 3029, 941, 2965, 1459, 827, 476, 2568, 2929, 1296, 4505, 982, 5892, 2219, 563, 15404, 3380, 14201, 1405, 2141, 538, 519, 8093, 2594, 269, 769, 1249, 267, 2831, 2899, 4682, 1510, 713, 4183, 269, 3767, 267, 1498, 267, 3744, 723, 20114, 519, 9998, 2963, 585, 2831, 609, 6091, 267, 799, 949, 849, 1683, 519, 9510, 2963, 540, 4887, 5160, 563, 14722, 616, 1565, 513, 3787, 811, 827, 875, 938, 11937, 7960, 676, 6313, 513, 9490, 267, 6972, 3165, 563, 2005, 7140, 856, 602, 513, 19494, 4362, 538, 4000, 827, 476, 3445, 1296, 3516, 267, 1572, 519, 19248, 2426, 4132, 267, 949, 711, 723, 519, 1480, 6438, 2634, 602, 3744, 2899, 2219, 563, 14722, 949, 723, 1175, 7307, 547, 556, 19840, 10675, 519, 4082, 540, 606, 3504, 5444, 602, 3123, 2831, 547, 1020, 513, 3165, 6438, 555, 2096, 639, 269, 634, 4681, 7866, 513, 3787, 811, 827, 875, 519, 4761, 1062, 7960, 936, 519, 1576, 540, 4720, 563, 14722, 723, 1336, 602, 711, 782, 3979, 7510, 326, 3240, 4307, 8040, 723, 519, 1482, 4719, 30343, 267, 20726, 532, 602, 713, 568, 513, 811, 2487, 9542, 982, 5892, 2219, 563, 14722, 723, 4362, 602, 17230, 753, 267, 945, 8853, 538, 519, 6094, 2011, 540, 519, 25307, 17934, 879, 267, 949, 723, 513, 2582, 5027, 3490, 6292, 1689, 602, 7389, 1394, 476, 279, 267, 1822, 602, 1223, 2491, 875, 789, 3082, 547, 6094, 2011, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 2398, 6493, 856, 519, 2132, 2418, 540, 519, 3252, 692, 5228, 5359, 1104, 2608, 7531, 3698, 1292, 10031, 825, 1820, 2891, 1432, 568, 519, 2140, 540, 519, 1034, 5129, 3014, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1205, 318, 2865, 318, 2452, 539, 2891, 18524, 14067, 520, 17902, 8442, 2020, 825, 1820, 19629, 333, 1692, 1082, 12215, 723, 1044, 4421, 2698, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1193, 4433, 636, 5334, 1245, 2891, 18524, 14067, 520, 17902, 257, 4297, 2020, 825, 1820, 19629, 333, 1432, 568, 519, 3328, 9513, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1193, 263, 1326, 318, 18522, 318, 822, 326, 2891, 18524, 14067, 520, 17902, 257, 4297, 2020, 825, 1820, 19629, 333, 1692, 1082, 3197, 1279, 568, 519, 13074, 2140, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1193, 6262, 870, 9078, 784, 652, 21234, 2891, 18524, 14067, 520, 17902, 257, 4297, 2020, 825, 1820, 19629, 333, 1432, 568, 519, 3328, 540, 519, 5305, 7389, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1193, 263, 1326, 5091, 622, 318, 822, 326, 2891, 18524, 14067, 520, 17902, 257, 4297, 2020, 825, 1820, 19629, 333, 1432, 3601, 814, 513, 3014, 286, 5602, 825, 2140, 815, 3403, 2891, 11767, 513, 3014, 2140, 547, 1205, 519, 3014, 781, 3601, 281, 19515, 825, 1820, 263, 1326, 14682, 877, 2891, 18524, 14067, 520, 17902, 2580, 2140, 11723, 825, 1820, 19629, 333, 1692, 1082, 3756, 616, 972, 19882, 676, 9135, 286, 5602, 825, 1820, 6262, 870, 14682, 4981, 539, 318, 2421, 318, 2102, 516, 2891, 18524, 14067, 520, 17902, 8442, 2020, 825, 1820, 19629, 333, 1432, 568, 519, 4266, 10288, 1592, 540, 519, 3756, 286, 5602, 825, 1820, 263, 1326, 5091, 622, 318, 23912, 2891, 18524, 14067, 520, 17902, 8442, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 20980, 4886, 17644, 454, 19328, 16475, 519, 476, 280, 628, 717, 1478, 940, 10610, 540, 519, 4139, 15521, 593, 7233, 18726, 8249, 585, 5253, 543, 11982, 454, 763, 4139, 15521, 593, 7233, 18726, 8249, 585, 5253, 543, 11982, 729, 7550, 676, 519, 476, 4029, 560, 29140, 540, 519, 10985, 540, 519, 14174, 302, 593, 476, 274, 5437, 476, 1220, 272, 563, 10666, 519, 2680, 454, 763, 4139, 15521, 593, 7233, 18726, 8249, 585, 5253, 543, 11982, 729, 7550, 676, 519, 774, 8812, 268, 5575, 29140, 540, 519, 10985, 540, 519, 5253, 543, 11982, 9257, 540, 519, 2136, 8315, 593, 476, 274, 5437, 476, 1220, 272, 563, 763, 15521, 6663, 693, 912, 268, 9301, 519, 11999, 9295, 540, 6705, 547, 519, 4763, 540, 7031, 602, 3049, 519, 1158, 3248, 268, 9591, 513, 2518, 1062, 547, 1683, 6705, 267, 2030, 9742, 619, 543, 3744, 609, 1569, 547, 2030, 4719, 2326, 3248, 268, 4180, 602, 23700, 2671, 2640, 789, 17589, 689, 519, 946, 540, 891, 4719, 2326, 609, 519, 2477, 1141, 789, 723, 1044, 12090, 563, 19328, 568, 16475, 519, 476, 280, 628, 717, 1478, 940, 10610, 5870, 540, 519, 15521, 1560, 689, 476, 1704, 547, 476, 2190, 5181, 476, 1708, 273, 538, 1715, 16156, 269, 634, 717, 1478, 940, 10610, 568, 519, 5207, 1418, 540, 519, 15521, 602, 814, 13222, 540, 782, 519, 2477, 602, 616, 519, 2818, 540, 519, 15521, 269, 2353, 519, 476, 14983, 4759, 2477, 723, 1044, 14376, 547, 7119, 269, 634, 26838, 3217, 7104, 3664, 593, 519, 6388, 540, 519, 15521, 269, 898, 6585, 971, 11401, 693, 2547, 1169, 1079, 1296, 563, 15447, 811, 827, 519, 476, 280, 628, 717, 1478, 940, 10610, 5870, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5417, 267, 3406, 267, 14391, 622, 267, 3095, 267, 2070, 267, 7650, 267, 2487, 267, 676, 2012, 267, 4351, 454, 18080, 267, 948, 267, 827, 267, 6402, 267, 1867, 513, 1966, 454, 528, 1205, 606, 2272, 454, 763, 24364, 1648, 540, 519, 18343, 2597, 593, 519, 14934, 14029, 2100, 6186, 786, 6175, 609, 11508, 267, 865, 3167, 16546, 616, 3710, 883, 519, 6186, 547, 2226, 16070, 6991, 269, 589, 13326, 2527, 5827, 540, 3001, 6251, 610, 20991, 689, 519, 14934, 14029, 2100, 781, 4099, 1223, 2327, 513, 5266, 5812, 16070, 6991, 540, 840, 20896, 676, 3001, 6251, 610, 20991, 689, 519, 4099, 540, 519, 6808, 10167, 630, 328, 4318, 269, 561, 1263, 28517, 610, 2110, 2287, 519, 4090, 6186, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 17785, 585, 519, 3689, 22054, 540, 707, 17130, 476, 272, 8641, 454, 296, 6415, 606, 2296, 4116, 543, 1934, 781, 513, 17130, 476, 272, 9133, 602, 513, 26393, 3838, 609, 803, 269, 898, 781, 865, 2241, 543, 2653, 602, 594, 6415, 14281, 594, 1810, 1405, 1294, 621, 811, 269, 594, 4001, 621, 547, 782, 1250, 1053, 563, 5353, 655, 5944, 1169, 17130, 476, 272, 1557, 594, 1224, 2228, 6238, 609, 513, 8390, 540, 713, 2241, 2497, 912, 10454, 3113, 2982, 519, 2242, 538, 713, 610, 602, 907, 4799, 302, 10798, 269, 20963, 269, 1703, 781, 4986, 4636, 609, 602, 563, 257, 2467, 568, 513, 3113, 799, 2982, 519, 2242, 538, 1025, 1695, 1025, 1695, 907, 4799, 8450, 519, 1689, 888, 3086, 519, 1101, 851, 540, 519, 4845, 568, 606, 4830, 16083, 543, 621, 781, 5916, 609, 1776, 4830, 16083, 609, 513, 3448, 15749, 269, 8672, 1373, 267, 596, 4312, 1500, 513, 1950, 4845, 1318, 1055, 519, 10627, 563, 2005, 3085, 1405, 2339, 602, 621, 781, 711, 519, 10178, 2886, 339, 540, 1950, 4845, 267, 596, 4312, 1869, 8743, 539, 1055, 835, 540, 519, 8239, 7355, 538, 1175, 513, 1906, 1913, 563, 289, 21392, 2943, 267, 596, 2811, 593, 707, 1259, 4724, 1018, 6512, 476, 278, 12134, 585, 281, 513, 3099, 540, 1950, 5220, 269, 631, 697, 607, 1134, 1205, 3323, 1318, 2476, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8340, 1079, 2338, 513, 14720, 971, 721, 281, 513, 17070, 284, 276, 6246, 273, 1299, 700, 13967, 314, 320, 14720, 24557, 23417, 22903, 692, 1892, 1677, 281, 2979, 16766, 693, 1159, 322, 18192, 6339, 14492, 454, 1892, 13595, 281, 1496, 16936, 14338, 14631, 316, 4855, 1079, 2338, 513, 14720, 971, 721, 281, 513, 17070, 284, 276, 6246, 273, 1299, 700, 13967, 314, 320, 14720, 24557, 23417, 22903, 454, 1892, 3245, 281, 3897, 527, 5142, 2999, 323, 574, 1889, 2559, 693, 586, 1695, 5622, 2593, 11417, 1892, 11261, 281, 6129, 267, 476, 1626, 4239, 476, 1001, 272, 476, 1626, 281, 3393, 281, 6021, 910, 31239, 271, 630, 3633, 307, 994, 1892, 5548, 9121, 3562, 281, 561, 2173, 987, 16766, 287, 21166, 268, 1105, 633, 271, 9884, 6504, 1090, 2593, 692, 3499, 1607, 568, 3144, 689, 519, 2487, 1433, 630, 1001, 271, 2567, 834, 4223, 11490, 320, 281, 589, 9046, 8894, 28495, 1229, 13979, 257, 676, 681, 269, 18171, 7806, 780, 10454, 2040, 540, 1079, 2318, 9981, 568, 476, 276, 6246, 273, 543, 741, 2547, 1455, 454, 20123, 2118, 568, 454, 23417, 22903, 269, 4855, 519, 2338, 3010, 288, 3070, 1384, 2710, 314, 2252, 314, 9448, 300, 5157, 267, 476, 276, 6246, 273, 910, 1775, 316, 2652, 476, 23417, 22903, 267, 7179, 5157, 267, 834, 476, 14307, 476, 276, 6246, 273, 910, 1775, 316, 3910, 2715, 328, 267, 476, 272, 2676, 27244, 279, 348, 2639, 13679, 273, 476, 476, 274, 4281, 271, 692, 296, 4898, 952, 649, 666, 4194, 519, 1062, 540, 4834, 1384, 320, 17070, 2525, 276, 6246, 273, 261, 261, 9448, 300, 314, 320, 14720, 316, 2525, 23417, 22903, 692, 6748, 9479, 602, 2270, 3710, 538, 3252, 899, 21079, 780, 296, 7058, 713, 568, 711, 513, 24735, 835, 1317, 519, 865, 1454, 3532, 21079, 454, 527, 1345, 14543, 692, 1103, 314, 272, 13912, 284, 21079, 314, 346, 320, 1341, 536, 2652, 476, 276, 6246, 273, 267, 700, 13967, 314, 320, 267, 536, 316, 2652, 476, 23417, 22903, 9574, 2715, 320, 267, 536, 9574, 6715, 619, 6540, 7628, 6268, 540, 769, 314, 272, 13912, 284, 21079, 15311, 985, 5471, 281, 1607, 1062, 3112, 581, 454, 338, 9407, 609, 519, 2409, 2139, 547, 21079, 269, 23645, 692, 11073, 314, 272, 24557, 21079, 314, 346, 320, 1341, 536, 2652, 476, 276, 6246, 273, 267, 700, 13967, 314, 320, 267, 536, 316, 2652, 476, 23417, 22903, 9574, 2715, 320, 267, 536, 9574, 6715, 619, 6540, 12179, 2093, 2496, 291, 574, 527, 5142, 692, 7884, 1892, 2776, 341, 676, 11261, 281, 23423, 540, 29005, 1599, 454, 1892, 8921, 676, 11261, 281, 1234, 281, 14474, 1154, 538, 2473, 11862, 11583, 264, 6119, 454, 1892, 19881, 676, 8142, 281, 1234, 281, 23423, 540, 29005, 1599, 454, 1892, 8921, 676, 8142, 281, 1234, 281, 4855, 1079, 2338, 513, 14720, 971, 721, 281, 513, 17070, 284, 276, 6246, 273, 1299, 700, 13967, 314, 320, 14720, 24557, 23417, 22903 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 2920, 476, 272, 267, 26657, 476, 276, 563, 21296, 14893, 5999, 454, 272, 269, 11066, 3081, 602, 1272, 568, 1018, 888, 5416, 264, 589, 3126, 540, 3765, 325, 23791, 2621, 563, 6357, 264, 589, 6071, 14692, 540, 519, 1985, 563, 6262, 264, 589, 8597, 335, 14525, 4742, 513, 18173, 563, 5560, 264, 589, 4152, 2666, 585, 2696, 781, 1453, 563, 273, 269, 7316, 1281, 519, 2034, 6429, 1930, 888, 5416, 264, 589, 18226, 10689, 563, 6357, 264, 11066, 262, 23103, 563, 6262, 264, 589, 7260, 14364, 563, 5560, 264, 634, 2713, 4055, 563, 274, 269, 11066, 262, 7015, 814, 1185, 1932, 1454, 540, 1018, 888, 275, 269, 11066, 3081, 602, 2696, 3096, 1018, 547, 2736, 998, 519, 25796, 1145, 540, 938, 2470, 888, 276, 269, 595, 2529, 269, 11066, 568, 849, 5219, 547, 676, 1018, 2012, 888, 14112, 8382, 5999, 454, 272, 269, 6904, 2852, 568, 11066, 689, 888, 273, 269, 1548, 798, 11066, 543, 20717, 2911, 827, 888, 274, 269, 7316, 616, 11066, 543, 2782, 22448, 950, 519, 6429, 10741, 888, 275, 269, 1548, 1888, 1281, 11066, 2232, 538, 1010, 1101, 1913, 888, 276, 269, 11066, 543, 20717, 7333, 614, 827, 1018, 888, 1607, 3296, 3568, 476, 14341, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20663, 3163, 26440, 4181, 6732, 20043, 454, 20663, 17978, 13658, 8240, 454, 20663, 17978, 14330, 17988, 910, 13159, 454, 24169, 8447, 23771, 31851, 2055, 543, 4267, 7300, 267, 2168, 4494, 7688, 4267, 7300, 476, 4366, 547, 2259, 8950, 17978, 981, 2055, 585, 2228, 5049, 269, 6657, 4045, 532, 29135, 338, 267, 7982, 14752, 17978, 543, 14044, 29135, 338, 31851, 2055, 543, 4267, 267, 2168, 4494, 13038, 14893, 5999, 630, 30555, 264, 585, 2228, 2852, 5232, 269, 834, 16498, 4494, 2558, 14746, 257, 7300, 8281, 281, 1448, 547, 1448, 7014, 267, 9079, 5404, 7014, 267, 2168, 4494, 1449, 3341, 585, 2228, 20277, 781, 4110, 2780, 2257, 563, 10454, 3926, 602, 13333, 2630, 519, 2168, 4494, 540, 519, 7046, 7010, 3955, 28947, 630, 5308, 296, 264, 2203, 568, 2580, 2168, 4494, 13038, 14893, 5999, 630, 30555, 264, 609, 5079, 12809, 13398, 267, 3742, 13398, 267, 8115, 267, 543, 4735, 831, 585, 10464, 652, 2228, 2780, 2257, 4110, 269, 16534, 8220, 561, 753, 267, 22449, 5121, 543, 5691, 561, 753, 2055, 543, 4267, 547, 2087, 1966, 6061, 1983, 585, 2780, 32407, 563, 763, 3926, 602, 13333, 2630, 519, 2168, 4494, 540, 519, 7046, 7010, 3955, 28947, 630, 5308, 296, 264, 2203, 568, 454, 763, 5769, 6513, 24606, 16257, 630, 2975, 6573, 264, 814, 519, 20927, 2450, 540, 454, 763, 13017, 6513, 16257, 17142, 602, 4016, 547, 3398, 519, 9505, 6658, 7662, 814, 1031, 519, 3009, 540, 454, 1103, 519, 5769, 16257, 6513, 16257, 630, 7709, 9573, 1070, 519, 3009, 1871, 540, 7621, 6860, 568, 1031, 547, 2099, 519, 17142, 540, 454, 1103, 16340, 26511, 32148, 18218, 630, 289, 4785, 1070, 519, 10278, 2232, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 24697, 1185, 1010, 4522, 5679, 18088, 856, 1282, 519, 4339, 855, 24138, 1705, 711, 1317, 9041, 729, 835, 540, 519, 7944, 2367, 563, 271, 269, 24697, 454, 272, 269, 24138, 454, 12585, 281, 476, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 287, 10461, 281, 631, 2033, 21983, 667, 454, 287, 11845, 281, 2904, 476, 1428, 267, 476, 1001, 278, 454, 287, 5793, 2181, 614, 281, 5124, 476, 274, 269, 277, 269, 272, 454, 293, 16366, 547, 22966, 857, 639, 20593, 614, 454, 12163, 325, 15786, 815, 10581, 9272, 2891, 11767, 519, 2837, 538, 18278, 281, 27328, 4897, 857, 639, 815, 16733, 325, 15786, 910, 476, 3953, 264, 2608, 476, 276, 264, 1315, 476, 280, 454, 2745, 2891, 10065, 273, 325, 538, 23422, 22966, 857, 639, 568, 4939, 269, 273, 325, 257, 4939, 630, 325, 15786, 267, 13767, 857, 639, 4917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3528, 20182, 32303, 523, 2421, 454, 763, 2749, 540, 2349, 12578, 543, 519, 21960, 577, 7345, 4826, 543, 29828, 518, 10588, 1312, 723, 1128, 21114, 17319, 14450, 16131, 602, 2253, 4873, 476, 272, 543, 2063, 998, 5181, 476, 1428, 563, 1103, 1312, 2127, 267, 7264, 609, 9642, 5991, 3518, 1229, 8265, 9607, 616, 4280, 547, 3970, 14450, 547, 11205, 5886, 17058, 267, 2605, 12156, 543, 9530, 904, 269, 4634, 9607, 616, 4280, 547, 1216, 593, 570, 1132, 17058, 267, 774, 2720, 17058, 543, 590, 4405, 17058, 269, 11728, 568, 11280, 607, 513, 1875, 21226, 532, 1554, 547, 1450, 23854, 547, 9156, 1310, 519, 15964, 267, 950, 1216, 946, 3335, 26389, 563, 763, 8430, 2337, 2569, 5222, 547, 2749, 543, 8664, 1216, 7727, 1282, 519, 4005, 950, 5561, 946, 519, 1034, 1216, 563, 28317, 8783, 6161, 1282, 891, 8445, 14025, 5712, 568, 4509, 7850, 1216, 2604, 585, 2596, 3252, 971, 607, 16003, 1166, 5241, 543, 3246, 1216, 585, 23001, 18017, 2223, 519, 21960, 577, 7345, 4826, 543, 29828, 518, 10588, 1767, 593, 922, 3896, 563, 12850, 6165, 538, 1548, 1260, 6019, 3592, 29156, 538, 519, 4832, 267, 543, 476, 3199, 547, 476, 3445, 2600, 540, 602, 2333, 568, 585, 1876, 985, 267, 2371, 543, 10651, 267, 2687, 547, 519, 1548, 1260, 4826, 19137, 267, 513, 6237, 1216, 5726, 1895, 269, 4826, 13102, 543, 25772, 2429, 1548, 1260, 6019, 2936, 17319, 14450, 16131, 1063, 4873, 476, 272, 543, 5181, 476, 1428, 563, 21206, 4388, 585, 4227, 9205, 14450, 912, 12850, 7184, 855, 1102, 18526, 269, 901, 2337, 1628, 4514, 267, 811, 14388, 3597, 1949, 563, 12850, 538, 519, 6640, 269, 1879, 519, 5210, 616, 16830, 267, 1447, 1216, 568, 4503, 547, 21381, 563, 25187, 985, 1810, 1406, 2965, 991, 547, 581, 530, 23926, 269, 589, 26862, 15989, 786, 9156, 950, 4764, 543, 16830, 5210, 2132, 563, 2252, 596, 723, 547, 267, 1216, 606, 10759, 829, 3018, 269, 4521, 985, 1152, 991, 1614, 6709, 11467, 540, 606, 10759, 547, 476, 272, 10759, 540, 1216, 829, 3018, 547, 1332, 543, 3251, 3039, 630, 10472, 666, 581, 6027, 609, 513, 13719, 8708, 593, 519, 15989, 1916, 3849, 3286, 707, 15989, 332, 1077, 547, 513, 2362, 4259, 269, 7043, 518, 6371, 18707, 3597, 1949, 267, 3850, 3037, 547, 11677, 7509, 585, 3476, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18814, 645, 9128, 16800, 17564, 8791, 593, 20029, 269, 476, 1626, 454, 1607, 5618, 7084, 568, 2966, 547, 948, 596, 5965, 585, 1603, 7433, 2290, 269, 898, 666, 630, 8117, 1281, 711, 723, 454, 1729, 264, 4196, 607, 513, 16861, 543, 9864, 1957, 8908, 269, 2659, 6192, 7084, 1590, 581, 476, 6110, 268, 4335, 1913, 538, 454, 28097, 519, 1739, 2243, 281, 1548, 568, 519, 6671, 7326, 538, 519, 2136, 2276, 2221, 827, 1946, 454, 292, 2202, 753, 941, 2111, 547, 20630, 543, 3935, 1125, 3345, 3013, 888, 763, 2165, 968, 935, 14846, 7326, 892, 4016, 547, 519, 8789, 7678, 540, 2219, 269, 4197, 519, 454, 935, 14846, 7326, 593, 513, 2016, 1641, 949, 3100, 2653, 267, 855, 621, 779, 711, 269, 5398, 8369, 1135, 3149, 1942, 6634, 454, 1993, 9489, 543, 1491, 9118, 3108, 540, 942, 547, 2119, 547, 4137, 856, 6671, 7326, 593, 513, 2016, 1888, 563, 11328, 1613, 607, 1082, 1004, 607, 621, 3217, 547, 1205, 693, 2547, 29375, 302, 1114, 6114, 547, 519, 1657, 2243, 269, 5269, 454, 338, 675, 547, 1205, 513, 2407, 2626, 547, 519, 2243, 269, 5213, 1406, 7017, 585, 835, 1606, 27542, 4267, 1765, 335, 2313, 707, 5396, 676, 454, 27965, 968, 25585, 892, 630, 324, 3052, 269, 2626, 281, 968, 763, 4639, 4465, 1317, 540, 1732, 9604, 1848, 1411, 1287, 2307, 281, 968, 302, 330, 267, 1946, 1705, 519, 454, 26156, 723, 1732, 9604, 1848, 264, 5901, 6998, 2055, 2394, 596, 666, 3914, 519, 1268, 779, 4295, 13429, 2676, 6518, 789, 949, 711, 8275, 610, 16153 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 15979, 540, 513, 4858, 557, 1715, 2622, 281, 589, 15863, 547, 2048, 289, 17879, 5336, 1136, 7055, 5575, 3370, 538, 476, 4350, 273, 267, 4858, 557, 1715, 2622, 12116, 519, 2009, 6286, 540, 513, 2486, 1759, 593, 16220, 23553, 9002, 267, 19727, 24071, 4638, 1596, 4593, 8462, 267, 543, 16126, 593, 9913, 543, 5061, 607, 2081, 547, 9101, 689, 4641, 269, 14484, 532, 593, 519, 21855, 32131, 676, 4858, 557, 1715, 2622, 267, 670, 5060, 2917, 5206, 267, 968, 5472, 1919, 2808, 621, 5654, 607, 1498, 941, 2484, 6251, 547, 721, 982, 4896, 267, 1152, 19939, 1296, 3516, 267, 1223, 723, 16545, 269, 3973, 267, 594, 15810, 621, 476, 7785, 1296, 883, 519, 2104, 269, 4653, 621, 4667, 3833, 2009, 602, 519, 16897, 949, 581, 2390, 721, 1369, 513, 2582, 2540, 1848, 634, 6881, 3091, 513, 2219, 4538, 6514, 540, 519, 1764, 540, 2257, 267, 9913, 267, 543, 1514, 1689, 593, 1018, 621, 1797, 547, 581, 1480, 269, 901, 6881, 729, 851, 540, 606, 10543, 2680, 1071, 17898, 29107, 676, 25553, 8461, 543, 519, 27076, 4139, 2160, 30765, 4972, 538, 11354, 476, 1001, 272, 269, 3220, 269, 6931, 27048, 779, 6881, 729, 6035, 538, 3210, 547, 513, 11000, 676, 25553, 8461, 10324, 8689, 267, 14529, 15607, 1290, 18450, 595, 7342, 5069, 267, 808, 291, 267, 11331, 968, 289, 17879, 5336, 1136, 281, 634, 674, 847, 3293, 674, 5285, 650, 618, 540, 670, 5060, 2917, 779, 4858, 557, 1715, 2622, 3034, 299, 3855, 547, 13565, 8249, 912, 268, 20099, 281, 476, 280, 281, 4029, 3764, 630, 277, 269, 6795, 15406, 994, 268, 14474, 281, 12463, 274, 3933, 334, 476, 4510, 330, 13703, 476, 9834, 298, 321, 1186, 630, 290, 16576, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5035, 30741, 912, 825, 8173, 825, 9502, 540, 513, 9352, 3529, 6843, 563, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 2451, 815, 7183, 267, 1318, 284, 7183, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 7531, 3698, 3406, 289, 4306, 20172, 267, 1130, 2187, 825, 8173, 825, 9612, 513, 536, 2389, 872, 585, 513, 5705, 872, 609, 1016, 10174, 540, 1130, 454, 825, 1234, 15479, 542, 4039, 566, 912, 825, 3597, 815, 3597, 263, 3847, 267, 1318, 264, 9847, 1130, 21591, 825, 2433, 12407, 3597, 912, 825, 2433, 12407, 1130, 912, 825, 2433, 8873, 912, 825, 8173, 825, 952, 3597, 568, 7183, 610, 1130, 2652, 3597, 22183, 912, 1038, 2132, 3597, 692, 825, 2132, 3406, 289, 4306, 20172, 16000, 267, 1130, 264, 952, 1130, 2999, 3597, 22183, 3116, 3406, 289, 4306, 20172, 16192, 267, 1130, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3597, 815, 30741, 263, 275, 267, 30741, 263, 273, 267, 30741, 263, 272, 267, 7183, 267, 7183, 1070, 30741, 263, 274, 267, 7183, 267, 7183, 24270, 30741, 263, 278, 267, 7183, 267, 7183, 4917, 825, 856, 815, 3406, 289, 4306, 20172, 267, 476, 273, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19733, 543, 13458, 676, 12756, 26229, 12261, 676, 24796, 28818, 269, 589, 4015, 540, 12756, 781, 15872, 607, 1352, 2501, 547, 17680, 1186, 609, 519, 1390, 1966, 540, 519, 2104, 540, 8103, 267, 538, 799, 1352, 3947, 13730, 4082, 547, 1200, 4030, 593, 519, 1641, 540, 834, 14807, 622, 585, 13458, 257, 1063, 2622, 2782, 594, 543, 2622, 2782, 4083, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 300, 7559, 26229, 267, 631, 6185, 1421, 729, 606, 19829, 945, 12090, 519, 26229, 1505, 540, 2069, 563, 257, 10666, 713, 2140, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 9349, 13517, 3883, 16448, 281, 15952, 1715, 269, 3883, 16448, 281, 15952, 1715, 269, 3883, 31805, 22802, 1948, 476, 7818, 6977, 11820, 12739, 4029, 269, 271, 454, 9349, 13517, 13235, 4211, 299, 22473, 267, 476, 1960, 273, 269, 28980, 269, 3883, 16448, 281, 1715, 269, 3883, 31805, 22802, 1948, 623, 9340, 5952, 272, 6021, 272, 277, 6434 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1548, 729, 519, 2063, 1283, 4557, 5734, 585, 1230, 22448, 14731, 888, 12585, 281, 28820, 566, 454, 2704, 328, 1162, 281, 28820, 566, 267, 634, 28820, 566, 267, 28820, 725, 267, 28820, 566, 532, 267, 31054, 630, 10177, 767, 1070, 28820, 566, 630, 10177, 767, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21760, 18053, 593, 3818, 12258, 528, 476, 274, 291, 16493, 4386, 950, 711, 2614, 27129, 729, 1625, 3022, 1063, 835, 2681, 547, 519, 1985, 267, 610, 666, 849, 2049, 952, 519, 12557, 540, 519, 5912, 568, 5594, 1055, 563, 2691, 8228, 609, 6022, 8291, 267, 513, 5912, 13486, 568, 1031, 865, 519, 30979, 814, 513, 1747, 547, 16005, 27129, 1063, 2681, 2242, 269, 1879, 519, 1101, 2681, 593, 513, 10943, 823, 568, 3592, 2944, 8228, 922, 11954, 6810, 593, 519, 4494, 267, 519, 30979, 786, 1847, 547, 519, 13486, 547, 1625, 613, 27129, 269, 1635, 519, 942, 621, 568, 2944, 1625, 3101, 267, 519, 30979, 1058, 581, 2215, 539, 609, 519, 1985, 2681, 1354, 13059, 547, 519, 851, 563, 19350, 596, 666, 1265, 1114, 2409, 547, 948, 2232, 2681, 18053, 563, 5475, 11264, 16312, 31335, 23363, 547, 2087, 552, 9912, 338, 593, 519, 17002, 267, 621, 781, 849, 6225, 547, 3313, 519, 4998, 2095, 2557, 610, 16312, 4288, 12750, 1512, 563, 27662, 532, 519, 3143, 14794, 454, 288, 18660, 610, 24571, 3022, 30979, 666, 849, 1267, 538, 2681, 18053, 269, 14171, 930, 942, 547, 2973, 519, 30979, 4754, 2087, 16312, 4288, 676, 1818, 621, 811, 5812, 267, 799, 568, 2556, 585, 2681, 28006, 563, 19102, 2084, 519, 21846, 20099, 543, 4635, 24438, 3690, 1431, 454, 763, 5912, 3259, 4259, 2337, 3313, 875, 1454, 27129, 568, 1625, 3022, 593, 519, 13486, 1354, 13059, 547, 519, 851, 269, 589, 2362, 5912, 3259, 666, 1711, 15777, 4778, 563, 24868, 762, 5912, 13080, 666, 849, 581, 1031, 865, 602, 2362, 5912, 13080, 616, 1152, 1031, 585, 6793, 4778, 602, 2154, 811, 1625, 3101, 630, 324, 3052, 269, 3109, 267, 2699, 267, 4158, 4544, 1070, 1247, 14402, 4778, 666, 946, 513, 5934, 5912, 547, 948, 2569, 3653, 630, 324, 3052, 269, 3043, 267, 5835, 1916, 288, 5912, 3259, 540, 476, 5611, 268, 5197, 7825, 610, 811, 666, 948, 609, 18632, 4778, 267, 1247, 14402, 4778, 666, 946, 10156, 13080, 540, 1447, 982, 476, 8099, 7825, 563, 3849, 3286, 532, 519, 21846, 27010, 454, 763, 5912, 3077, 11887, 875, 2484, 883, 519, 5912, 3259, 519, 10943, 823, 1058, 2049, 563, 2252, 13289, 2408, 1932, 2038, 267, 5594, 2810, 519, 5912, 3077, 666, 948, 269, 6684, 267, 952, 13289, 2408, 1932, 3735, 267, 5594, 4227, 519, 5912, 3077, 1058, 2087, 519, 12557, 540, 519, 5912, 269, 8347, 14577, 713, 6871, 676, 476, 276, 268, 1015, 260, 693, 513, 942, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6518, 21845, 11452, 5563, 538, 811, 982, 476, 279, 267, 4335, 20636, 10820, 454, 24992, 5412, 543, 5130, 267, 1336, 602, 1004, 7783, 609, 519, 22678, 269, 273, 454, 11357, 19702, 656, 941, 10199, 476, 3451, 2600, 811, 2693, 547, 3468, 1866, 267, 3379, 547, 454, 29006, 7783, 609, 22678, 269, 272, 563, 1492, 968, 13092, 892, 22678, 269, 272, 1016, 19702, 656, 6589, 585, 811, 982, 476, 7176, 2600, 540, 522, 32342, 454, 322, 1162, 267, 855, 922, 2673, 23013, 22678, 269, 273, 814, 3533, 1831, 519, 8789, 8833, 538, 454, 291, 523, 5658, 267, 546, 996, 1258, 532, 22678, 269, 272, 538, 519, 2034, 3018, 540, 5130, 563, 935, 2850, 602, 522, 32342, 22678, 269, 273, 568, 20244, 15186, 811, 18993, 24777, 982, 454, 9346, 269, 272, 267, 543, 602, 621, 849, 19299, 4761, 3887, 15230, 3601, 602, 2417, 2569, 454, 1492, 8825, 1198, 540, 12674, 1996, 3968, 2223, 519, 1353, 779, 454, 6518, 814, 711, 2943, 1044, 9263, 24595, 267, 729, 5342, 676, 3173, 693, 6465, 839, 454, 32513, 636, 2382, 26623, 630, 7704, 296, 1070, 10515, 32683, 2160, 267, 10803, 16862, 543, 14502, 454, 17206, 540, 16862, 563, 17647, 1044, 6534, 547, 522, 32342, 22678, 269, 273, 538, 707, 7622, 267, 596, 723, 476, 4375, 2600, 454, 22238, 1464, 540, 1373, 7783, 1369, 5722, 2395, 269, 1403, 596, 3079, 1185, 1044, 454, 1410, 12723, 547, 22678, 269, 272, 267, 519, 5506, 568, 476, 3066, 2600, 2223, 1291, 1353, 2278, 454, 293, 1042, 518, 1731, 623, 956, 1676, 5143, 1234, 26407, 563, 24175, 2248, 338, 22678, 269, 273, 568, 1472, 476, 3451, 2600, 811, 11763, 982, 22678, 269, 272, 267, 646, 3773, 563, 17647, 849, 1044, 10805, 538, 519, 2136, 2276, 267, 6628, 267, 13785, 543, 16157, 267, 855, 454, 1729, 513, 1454, 14758, 6708, 982, 538, 16862, 267, 1141, 621, 6589, 585, 10199, 476, 11025, 454, 704, 1417, 540, 2665, 563, 10193, 4951, 602, 22678, 269, 273, 729, 5266, 1732, 982, 22678, 269, 272, 693, 3468, 532, 18764, 454, 663, 26259, 8686, 3147, 3990, 1004, 267, 10834, 3152, 968, 14545, 859, 5297, 454, 27393, 2906, 892, 540, 519, 1016, 19702, 656, 563, 560, 650, 5129, 606, 1271, 1909, 267, 519, 1353, 896, 20040, 267, 2094, 1312, 454, 2692, 8803, 8686, 3147, 3990, 543, 4628, 18764, 2043, 941, 1447, 899, 547, 1205, 454, 17126, 539, 543, 10141, 2901, 1016, 19702, 1218, 267, 3379, 547, 1346, 711, 18764, 563, 534, 4519, 676, 9399, 296, 814, 3254, 602, 972, 568, 1100, 3017, 538, 519, 1981, 540, 6413, 5314, 454, 1721, 22678, 269, 273, 3379, 547, 22678, 269, 272, 563, 10193, 25495, 16861, 2079, 689, 4789, 267, 799, 4951, 22678, 269, 273, 5526, 547, 454, 17647, 513, 8101, 2208, 5413, 936, 519, 22678, 269, 272, 1826, 267, 2687, 547, 6628, 779, 454, 20084, 2657, 8232, 10837, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 292, 11915, 15580, 16572, 1107, 1133, 574, 12817, 267, 645, 574, 12817, 543, 12910, 12817, 1234, 13905, 1107, 11906, 918, 27282, 454, 1607, 7998, 3381, 5850, 2488, 513, 2596, 4367, 883, 10026, 6547, 543, 10026, 2557, 4031, 269, 898, 6941, 519, 3017, 1063, 796, 574, 12817, 267, 536, 574, 12817, 267, 543, 12910, 12817, 6547, 269, 1323, 10026, 5114, 568, 835, 538, 799, 519, 2557, 1876, 666, 581, 2854, 689, 519, 14170, 540, 519, 7059, 3114, 3830, 543, 23216, 609, 12170, 1239, 269, 589, 796, 574, 12817, 5114, 568, 513, 5114, 602, 666, 8399, 1210, 513, 2582, 11140, 269, 589, 536, 574, 12817, 5114, 568, 835, 538, 799, 1079, 6675, 1590, 2458, 728, 538, 1931, 547, 2746, 269, 12910, 12817, 6547, 2154, 519, 16580, 540, 1614, 6675, 563, 6124, 11061, 11473, 7591, 4289, 912, 16966, 547, 20031, 1756, 27678, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1548, 568, 5191, 286, 898, 4667, 899, 971, 513, 2241, 2243, 269, 15213, 568, 1373, 2111, 547, 798, 1018, 596, 1616, 547, 798, 269, 14190, 803, 547, 2491, 621, 269, 594, 6415, 13110, 540, 2324, 585, 513, 2713, 269, 594, 9364, 2864, 2445, 9204, 269, 1924, 602, 781, 1018, 594, 6415, 2469, 547, 798, 281, 2445, 513, 2186, 540, 3454, 269, 1411, 616, 10288, 547, 7447, 707, 4747, 689, 519, 2250, 476, 1321, 3275, 267, 543, 2328, 803, 513, 2638, 585, 476, 272, 10065, 594, 723, 3177, 513, 544, 9430, 2232, 585, 713, 3483, 593, 1250, 3346, 2985, 3267, 1548, 286, 1411, 723, 513, 1966, 609, 1250, 1544, 286, 7937, 267, 594, 1294, 269, 1403, 596, 723, 547, 6494, 803, 513, 2638, 585, 519, 3454, 267, 1287, 594, 723, 10413, 707, 5191, 547, 6108, 602, 2724, 607, 596, 1294, 3514, 269, 1284, 723, 513, 4655, 256, 1656, 938, 2596, 1966, 568, 281, 649, 3112, 2972, 5191, 693, 519, 1482, 942, 282, 649, 1590, 7017, 585, 513, 3970, 269, 1809, 1018, 3970, 286, 19115, 12579, 567, 3494, 5191, 1058, 581, 1759, 593, 1582, 20820, 269, 1358, 4766, 5191, 607, 1373, 2111, 547, 798, 1018, 596, 1616, 547, 798, 607, 1279, 607, 621, 3085, 1405, 3310, 519, 3160, 1318, 540, 1866, 547, 798, 1018, 789, 1616, 547, 798, 269, 2334, 568, 267, 5191, 568, 1373, 2111, 547, 798, 1018, 596, 899, 607, 1279, 607, 596, 798, 711, 2800, 1776, 1268, 781, 1272, 267, 15698, 610, 3959, 269, 1411, 666, 1628, 513, 1305, 540, 3656, 543, 5683, 567, 3652, 593, 519, 6240, 540, 1582, 20820, 267, 543, 11309, 12579, 798, 269, 4256, 7662, 585, 1582, 20820, 1419, 3587, 811, 1271, 982, 1455, 2631, 267, 610, 1256, 5191, 3294, 269, 634, 4214, 3652, 856, 519, 5191, 547, 21102, 267, 12638, 267, 543, 865, 593, 269, 19227, 267, 596, 666, 798, 8726, 596, 1616, 269, 1703, 568, 1100, 1966, 2394, 596, 8275, 602, 21259, 568, 17403, 267, 602, 2112, 568, 12638, 267, 543, 602, 3084, 3028, 568, 513, 1106, 540, 8474, 269, 4595, 1152, 519, 2229, 814, 513, 3656, 1318, 547, 946, 3196, 267, 11309, 12579, 1445, 593, 1818, 519, 2229, 4130, 267, 610, 1256, 2469, 1510, 621, 269, 634, 11309, 12579, 262, 4214, 540, 5191, 568, 3976, 5191, 689, 519, 2229, 269, 27355, 1405, 621, 28457, 748, 286, 6904, 540, 519, 1739, 6898, 568, 6462, 676, 11309, 12579, 2687, 547, 519, 8574, 888, 271, 269, 2817, 3028, 1058, 581, 666, 576, 1194, 563, 272, 269, 4658, 666, 798, 8726, 789, 1616, 563, 273, 269, 634, 2229, 1058, 723, 811, 1379, 563, 274, 269, 1358, 1058, 581, 18170, 676, 519, 2229, 563, 12585, 281, 476, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 290, 617, 1092, 267, 23851, 4790, 1218, 267, 8210, 5558, 543, 15345, 3827, 454, 763, 2278, 24283, 519, 23851, 21635, 607, 540, 519, 4909, 2168, 21635, 267, 3079, 540, 607, 540, 519, 2757, 12572, 1106, 27909, 2016, 538, 519, 2910, 291, 25353, 269, 634, 22466, 10230, 2418, 602, 616, 3622, 31360, 538, 519, 2257, 3332, 543, 799, 4196, 607, 513, 4493, 585, 3541, 1516, 519, 23851, 21635, 616, 4857, 538, 1469, 538, 741, 2596, 2979, 269, 1306, 540, 519, 2079, 540, 519, 22466, 23851, 2418, 267, 6959, 543, 9631, 3827, 540, 519, 2910, 291, 25353, 23851, 2418, 616, 4857, 543, 5701, 14916, 269, 634, 23851, 21635, 616, 9258, 22041, 538, 1931, 547, 2308, 519, 4909, 2168, 21635, 607, 741, 12985, 5748, 269, 15316, 3047, 270, 3901, 686, 311, 23959, 540, 519, 23851, 4790, 1218, 9122, 593, 519, 27284, 8447, 4790, 1218, 616, 4843, 585, 519, 1101, 942, 267, 20515, 875, 519, 4909, 2168, 21635, 4196, 607, 519, 5748, 547, 519, 23851, 21635, 563, 8340, 856, 827, 2688, 8228, 609, 721, 2336, 2467, 616, 1100, 6075, 8039, 585, 713, 6221, 2943, 563, 5978, 31054, 717, 3424, 6651, 454, 4537, 641, 938, 10516, 3391, 1765, 5976, 10516, 2093, 585, 1169, 2186, 540, 5467, 256, 9596, 2859, 19314, 307, 1774, 11435, 543, 533, 537, 2583, 454, 514, 513, 3099, 540, 6163, 2676, 338, 3278, 267, 543, 6272, 267, 7132, 544, 13903, 267, 1433, 12201, 267, 543, 811, 2336, 4537, 6235, 1299, 17292, 1575, 31054, 16458, 6050, 454, 2171, 6928, 9170, 538, 519, 772, 2529, 269, 543, 9753, 540, 1269, 4037, 266, 6928, 1863, 3842, 2923, 13875, 256, 9596, 2859, 19314, 8253, 26312, 6178, 539, 7734, 281, 15012, 519, 11833, 2336, 18794, 938, 6178, 539, 3689, 9990, 11833, 630, 528, 2285, 513, 10516, 20478, 264, 585, 513, 9896, 1433, 540, 1390, 5339, 20519, 267, 9447, 547, 596, 10865, 269, 9596, 2859, 9732 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 634, 1297, 540, 21325, 540, 1599, 1269, 325, 3287, 6661, 346, 4151, 4399, 7562, 3287, 9984, 332, 315, 7562, 17347, 343, 9984, 333, 315, 7562, 3287, 10275, 343, 7751, 593, 18159, 271, 12101, 7032, 29408, 1141, 1269, 332, 19885, 285, 271, 259, 543, 1269, 271, 283, 330, 283, 272, 6911, 763, 1297, 540, 21325, 540, 1599, 3230, 325, 3287, 21174, 7562, 3287, 9984, 332, 315, 7562, 17347, 343, 9984, 333, 315, 7562, 3287, 10275, 343, 9385, 3667, 346, 593, 7684, 263, 271, 12101, 7032, 14638, 267, 1141, 3230, 332, 19885, 285, 271, 2330, 543, 3230, 271, 692, 3682, 557, 519, 5449, 1599, 814, 3230, 271, 2330, 610, 3230, 272, 2330, 4642, 593, 30967, 271, 12101, 7032, 14638, 780, 296, 3357, 909, 609, 713, 2243, 1317, 594, 1616, 547, 1589, 998, 835, 540, 1250, 3105, 2243, 281, 28171, 13235, 267, 288, 262, 289, 262, 290, 262, 616, 21412, 281, 291, 568, 593, 7460, 267, 291, 262, 568, 593, 645, 262, 290, 3299, 4399, 4120, 645, 4696, 1422, 4120, 21957, 284, 1422, 4120, 645, 262, 288, 262, 291, 262, 1422, 4120, 595, 262, 288, 262, 291, 3299, 9474, 284, 288, 262, 289, 3299, 8028, 284, 288, 262, 290, 3299, 5084, 284, 288, 262, 291, 262, 8961, 2324, 585, 513, 6101, 6169, 780, 296, 6415, 20994, 547, 2307, 1776, 2243, 1934, 267, 855, 5063, 594, 4312, 1044, 2324, 2182, 538, 713, 2243, 585, 2395, 267, 543, 9039, 540, 519, 2081, 1568, 269, 1656, 594, 1589, 621, 1522, 4502, 6679, 1776, 2243, 585, 519, 6169, 540, 476, 271, 270, 272, 4642, 4433, 6393, 5575, 594, 6836, 547, 6961, 519, 27865, 4577, 640, 267, 865, 594, 7229, 519, 3017, 540, 519, 1599, 281, 3230, 325, 21948, 343, 21174, 6523, 3287, 9984, 332, 330, 315, 6523, 17347, 343, 9984, 333, 263, 272, 10275, 9385, 6523, 3287, 10275, 343, 1040, 2330, 1717, 267, 621, 568, 711, 2141, 2318, 610, 2942, 267, 543, 1018, 781, 1256, 8338, 267, 519, 3017, 568, 1875, 15065, 582, 4577, 2439, 2005, 4667, 2182, 267, 543, 594, 6999, 2576, 666, 2285, 803, 513, 1688, 780, 1892, 1703, 568, 513, 4642, 267, 1318, 693, 519, 5169, 281, 1269, 325, 263, 271, 264, 815, 1422, 7562, 18950, 271, 14587, 910, 544, 265, 7562, 18950, 330, 263, 271, 4297, 348, 910, 562, 2608, 5609, 18950, 271, 910, 737, 263, 271, 4297, 20954, 799, 2164, 538, 1269, 325, 263, 271, 264, 815, 476, 271, 8961, 4399, 11004, 1150, 259, 519, 1599, 814, 513, 3597, 693, 18159, 271, 267, 476, 271, 30879, 4119, 476, 279, 267, 476, 1708, 272, 693, 476, 1691, 281, 4029, 454, 1892, 18159, 272, 14870, 7751, 4667, 899, 513, 1462, 334, 269, 9701, 621, 581, 18159, 272, 10275, 7751, 286, 4119, 476, 279, 267, 476, 1708, 272, 693, 476, 736, 281, 4649, 454, 1892, 7711, 27409, 31441, 303, 22259, 3143, 267, 630, 271, 267, 273, 7032, 264, 1281, 711, 2270, 476, 271, 269, 4119, 476, 280, 267, 476, 1708, 272, 693, 476, 273, 281, 1015, 454, 1892, 7711, 12528, 6812, 277, 9032, 8786, 267, 594, 4312, 1175, 6378, 602, 1462, 334, 269, 4119, 476, 280, 267, 476, 1708, 272, 693, 476, 273, 281, 1556 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 5358, 320, 16948, 1999, 14373, 522, 27089, 513, 533, 26196, 632, 19804, 1286, 549, 620, 1872, 5964, 692, 323, 5362, 815, 703, 9272, 3488, 23797, 657, 1019, 553, 620, 1872, 15606, 286, 1412, 4917, 14790, 815, 10581, 9272, 3488, 23797, 657, 918, 300, 11425, 15606, 286, 1412, 11723, 1998, 528, 318, 14790, 815, 476, 271, 269, 9340, 1556, 454, 1998, 528, 4671, 4973, 815, 1019, 553, 2608, 5998, 476, 2608, 27089, 318, 14790, 7531, 2745, 3488, 302, 2698, 513, 533, 26196, 20527, 632, 15079, 8339, 8971, 263, 1998, 528, 4671, 4973, 4297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 476, 4198, 275, 267, 519, 2136, 8315, 10294, 5437, 476, 736, 607, 2622, 5753, 779, 4303, 267, 711, 1152, 547, 8661, 1453, 267, 855, 849, 2870, 513, 1289, 547, 2962, 585, 4079, 543, 1453, 7567, 269, 769, 476, 1708, 274, 267, 519, 6167, 32141, 267, 968, 5804, 2916, 1689, 267, 2069, 543, 2790, 1072, 267, 547, 10678, 10168, 543, 7130, 267, 1453, 543, 1762, 1004, 616, 9870, 741, 9739, 593, 519, 2152, 602, 2339, 547, 741, 5108, 543, 10912, 585, 4079, 547, 1711, 513, 1732, 2104, 269, 901, 2622, 5753, 779, 4303, 267, 621, 779, 811, 1271, 982, 2479, 602, 519, 1158, 1592, 839, 547, 741, 2093, 543, 7569, 269, 2201, 476, 736, 5437, 267, 3214, 616, 6340, 856, 543, 556, 19960, 1456, 513, 1732, 2104, 269, 1548, 786, 596, 798, 18313, 18439, 519, 1082, 3681, 543, 2093, 6035, 676, 6167, 32019, 267, 1287, 2671, 707, 1378, 2093, 543, 19647, 538, 519, 8292, 563, 3080, 7872, 568, 547, 2709, 513, 9584, 540, 519, 966, 7860, 540, 5753, 17245, 543, 3180, 513, 4901, 269, 634, 4670, 543, 1644, 2200, 616, 2139, 689, 519, 2622, 17072, 7690, 693, 1158, 1721, 636, 11398, 566, 3820, 270, 22106, 269, 634, 4670, 568, 6806, 1309, 1632, 539, 538, 2296, 267, 5053, 267, 14082, 543, 13495, 18288, 563, 22013, 9121, 2947, 2395, 513, 3018, 5627, 3377, 267, 1967, 2984, 267, 3435, 267, 7678, 5359, 267, 543, 1454, 811, 563, 2750, 4219, 9336, 21196, 568, 519, 4013, 5907, 20394, 585, 16510, 4964, 269, 898, 568, 9447, 2947, 2395, 513, 3018, 5627, 3377, 2984, 267, 1967, 2984, 267, 3435, 267, 7678, 5359, 267, 543, 1454, 811, 563, 17764, 267, 31130, 267, 9811, 269, 1703, 616, 865, 1082, 2081, 649, 616, 17528, 938, 1453, 910, 543, 607, 4406, 29800, 918, 4768, 3081, 267, 1100, 2339, 945, 1412, 933, 262, 616, 267, 649, 782, 1590, 1451, 547, 2161, 1412, 26132, 1453, 616, 938, 1453, 262, 543, 957, 9935, 563, 2005, 568, 865, 2182, 547, 1256, 1589, 540, 1022, 11812, 950, 17608, 9002, 543, 1453, 616, 1373, 4371, 3984, 720, 676, 22266, 9810, 1235, 269, 3509, 1004, 540, 782, 10080, 543, 10764, 1519, 13114, 29562, 723, 1500, 2178, 6898, 1996, 519, 30468, 540, 519, 9810, 1235, 269, 19402, 519, 3984, 1137, 616, 1863, 267, 594, 3112, 1589, 540, 14120, 269, 1656, 865, 8909, 569, 267, 1034, 540, 519, 2038, 6689, 2146, 814, 1044, 14980, 593, 713, 3390, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 634, 2243, 5161, 540, 1079, 6898, 13042, 607, 2048, 13750, 618, 630, 296, 264, 685, 543, 519, 824, 607, 2048, 13750, 618, 263, 2862, 264, 9957, 25826, 519, 1079, 6898, 5402, 543, 2824, 519, 4267, 547, 1346, 3688, 1210, 519, 3009, 2016, 2630, 281, 25991, 13750, 618, 630, 296, 2567, 634, 23993, 1063, 1079, 11275, 1227, 13745, 27810, 568, 1767, 547, 581, 4998, 952, 519, 11664, 540, 23993, 568, 30767, 269, 13750, 618, 630, 2862, 2567, 13722, 519, 1582, 2987, 2265, 766, 540, 513, 16509, 267, 811, 786, 581, 519, 552, 6230, 8807, 13251, 692, 1607, 2243, 729, 5892, 4280, 538, 454, 2464, 292, 22997, 476, 1001, 278, 281, 24722, 7433, 454, 8698, 782, 772, 28903, 594, 2464, 14430, 28825, 272, 269, 5637, 15048, 630, 296, 264, 543, 15048, 630, 2862, 264, 616, 14350, 3020, 543, 15048, 630, 2862, 264, 568, 519, 2953, 7778, 540, 15048, 630, 296, 994, 273, 269, 5637, 15048, 630, 296, 264, 543, 15048, 630, 2862, 264, 616, 14350, 3020, 543, 855, 15048, 630, 2862, 264, 568, 1109, 2254, 1109, 1492, 2953, 7778, 540, 15048, 630, 296, 994, 274, 269, 15048, 630, 296, 264, 568, 3020, 855, 15048, 630, 2862, 264, 568, 7301, 454, 275, 269, 15048, 630, 296, 264, 568, 7301, 855, 15048, 630, 2862, 264, 568, 3020, 692, 1012, 8382, 630, 19547, 9229, 8827, 12989, 2020, 29682, 476, 274, 2433, 15048, 630, 296, 264, 568, 3020, 855, 15048, 630, 2862, 264, 568, 7301, 454, 10403, 454, 4306, 476, 272, 281, 8298, 673, 7744, 454, 26392, 279, 454, 736, 5999, 476, 736, 29485, 476, 736, 631, 1231, 692, 1012, 26346, 8827, 692, 13750, 618, 476, 272, 281, 6168, 519, 11664, 540, 23993, 692, 290, 4141, 2310, 540, 23993, 568, 3989, 607, 519, 6824, 540, 13441, 602, 6402, 519, 27810, 780, 12385, 3012, 673, 1106, 585, 519, 11664, 540, 23993, 568, 1384, 2330, 298, 815, 1422, 2765, 346, 300, 2410, 3189, 6912, 2715, 346, 299, 318, 272, 2410, 299, 318, 273, 3686, 31998, 9681, 300, 281, 23688, 783, 32366, 766, 1063, 27810, 692, 299, 272, 267, 700, 273, 281, 1582, 32366, 1734, 540, 27810, 692, 2252, 918, 815, 476, 272, 267, 621, 568, 1767, 547, 581, 9395, 23993, 1775, 4318, 267, 4998, 780, 2252, 918, 2999, 476, 272, 267, 621, 568, 1767, 547, 581, 29101, 13745, 692, 6962, 281, 689, 519, 1657, 1523, 649, 666, 2161, 602, 952, 918, 815, 476, 272, 1287, 602, 568, 4998, 780, 17798, 621, 568, 3020, 692, 13750, 618, 476, 273, 281, 6168, 1582, 2987, 2265, 766, 692, 2171, 666, 5581, 519, 6453, 610, 900, 325, 13251, 2066, 519, 16509, 568, 1384, 2330, 309, 815, 700, 21702, 13997, 10972, 12453, 346, 19049, 3686, 9681, 309, 281, 30579, 2066, 519, 16509, 692, 299, 281, 1582, 2987, 2265, 766, 540, 519, 16509, 692, 296, 281, 942, 8686, 776, 532, 1699, 692, 10387, 325, 700, 692, 6962, 281, 1473, 340, 1027, 900, 325, 568, 2047, 14354, 547, 519, 1582, 2987, 2265, 766, 540, 519, 16509, 269, 9747, 952, 621, 568, 4389, 900, 325, 849, 6971, 855, 538, 519, 3948, 621, 568, 2016, 602, 952, 700, 6971, 900, 325, 786, 581, 811, 780, 17798, 621, 568, 8771 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 19370, 476, 6858, 910, 26228, 2619, 2040, 4083, 692, 3528, 4358, 693, 519, 1283, 540, 519, 6906, 2630, 543, 3001, 547, 11105, 2338, 593, 454, 1492, 4737, 2630, 267, 519, 5021, 2698, 689, 1283, 547, 5377, 568, 476, 2537, 780, 567, 476, 274, 454, 476, 476, 278, 476, 275, 454, 476, 273, 476, 275, 476, 277, 454, 279, 476, 276, 476, 280, 476, 274, 692, 6546, 568, 267, 476, 274, 1341, 476, 278, 1341, 476, 275, 1341, 476, 280, 815, 476, 2537, 780, 8340, 519, 5021, 2698, 689, 1283, 547, 5377, 538, 1412, 6858, 17902, 262, 513, 476, 1428, 298, 1257, 3758, 454, 935, 8877, 513, 6906, 609, 835, 3620, 4348, 9343, 780, 27237, 292, 281, 901, 568, 513, 1454, 811, 2352, 4528, 540, 9046, 476, 1240, 269, 898, 568, 711, 2009, 454, 1729, 2119, 1169, 8905, 547, 4194, 713, 1966, 267, 607, 972, 616, 476, 273, 1262, 4200, 15587, 256, 1403, 596, 454, 322, 746, 2638, 835, 18265, 630, 1015, 1262, 1321, 264, 11507, 1169, 2034, 621, 1131, 1491, 936, 8938, 454, 321, 11669, 1296, 547, 2638, 873, 782, 269, 1703, 568, 606, 3608, 5690, 547, 4194, 621, 563, 20701, 454, 3698, 1612, 572, 4671, 686, 4120, 263, 6050, 2187, 825, 6906, 815, 11713, 825, 585, 1899, 538, 3515, 912, 1038, 4737, 815, 11713, 1038, 585, 1775, 538, 1899, 25331, 29328, 28361, 333, 262, 1040, 20889, 10031, 2018, 4737, 6910, 17301, 9217, 4917, 1038, 6906, 6910, 21405, 994, 825, 2132, 6906, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 6906, 815, 1612, 572, 4671, 686, 4120, 263, 13449, 3488, 6858, 17902, 262, 1040, 1348, 6050, 15405, 825, 9343, 815, 7003, 6025, 686, 4120, 994, 825, 1247, 9343, 3436, 476, 272, 912, 1038, 1775, 815, 9343, 910, 476, 273, 454, 1038, 585, 795, 538, 2039, 9217, 266, 272, 2187, 2018, 6906, 5157, 6012, 329, 316, 6834, 3193, 9230, 28256, 4120, 5157, 266, 272, 6012, 329, 3910, 6906, 5157, 266, 272, 6012, 329, 266, 272, 28413, 1038, 6906, 21014, 4590, 1038, 9343, 20699, 476, 272, 692, 825, 1820, 6025, 686, 4120, 314, 271, 7481 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1215, 798, 596, 4194, 281, 16009, 1535, 284, 476, 274, 270, 273, 538, 32494, 2496, 1892, 1215, 798, 596, 4194, 281, 16009, 1535, 284, 476, 274, 270, 273, 538, 32494, 2496, 306, 6295, 17832, 12307, 281, 3267, 1535, 815, 630, 11740, 333, 264, 4113, 1341, 476, 3445, 4113, 16534, 476, 274, 11927, 476, 274, 630, 343, 264, 3267, 1535, 815, 476, 3445, 4113, 267, 476, 17734, 4113, 16534, 2845, 476, 274, 630, 273, 7562, 3287, 4297, 815, 476, 272, 270, 273, 593, 1496, 271, 267, 476, 273, 11027, 264, 1635, 4429, 31339, 281, 476, 2420, 4939, 454, 6635, 551, 534, 18185, 269, 6732, 818, 551, 534, 3287, 264, 3267, 634, 818, 551, 836, 550, 1599, 568, 519, 11201, 1599, 540, 586, 815, 16009, 3287, 1040, 3267, 1535, 815, 818, 551, 534, 12169, 264, 5232, 32494, 454, 31339, 281, 476, 866, 4939, 692, 2162, 2859, 2200, 692, 1862, 875, 1082, 4773, 798, 596, 991, 547, 979, 2899, 3267, 5221, 519, 2234, 1014, 568, 1759, 593, 519, 6986, 2856, 540, 834, 1492, 8953, 1373, 3267, 630, 553, 1279, 607, 834, 343, 257, 568, 538, 7101, 2103, 26695, 31339, 281, 476, 2420, 4939, 454, 1692, 798, 596, 4194, 713, 3830, 281, 1496, 4118, 316, 3267, 630, 273, 20080, 9984, 6912, 263, 274, 12684, 6523, 263, 273, 20080, 9984, 272, 264, 1496, 7032, 270, 275, 267, 910, 27979, 4433, 5720, 263, 274, 264, 1341, 476, 273, 13580, 3267, 1215, 798, 594, 4194, 585, 1535, 538, 519, 3830, 4429, 31339, 281, 476, 1704, 4939, 454, 1862, 26344, 6248, 5772, 885, 5609, 263, 9064, 264, 3267, 630, 272, 16009, 1535, 16009, 586, 264, 5609, 263, 273, 343, 264, 815, 476, 273, 5609, 1535, 5430, 1535, 269, 5430, 3267, 16009, 476, 273, 630, 320, 264, 476, 271, 270, 275, 2433, 476, 272, 270, 274, 476, 273, 270, 273, 2433, 476, 274, 270, 272, 2433, 476, 275, 270, 271, 6902 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 27387, 281, 3169, 2418, 2259, 2243, 692, 272, 269, 12361, 3169, 2418, 2259, 2243, 692, 22428, 5430, 589, 815, 1269, 10559, 2765, 346, 278, 2410, 1839, 4151, 543, 16009, 645, 815, 4399, 2765, 346, 1428, 2410, 279, 21456, 3602, 589, 568, 538, 519, 2034, 9076, 656, 543, 645, 568, 538, 519, 3791, 9076, 656, 269, 4855, 519, 3169, 2418, 540, 1384, 7562, 10490, 5174, 17107, 11927, 10490, 5174, 17107, 1415, 948, 1454, 15874, 780, 329, 341, 692, 273, 269, 4399, 7562, 589, 7807, 6912, 346, 272, 10559, 6523, 317, 273, 288, 18098, 2765, 346, 2190, 2410, 1839, 10592, 7445, 7562, 645, 284, 10559, 2765, 3189, 11927, 645, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 1428, 2410, 1704, 10592, 7445, 6523, 645, 284, 10559, 2765, 346, 272, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 279, 2410, 1704, 10592, 7445, 11927, 645, 7807, 2765, 346, 1428, 2410, 279, 10592, 7445, 7562, 10490, 5174, 21174, 7562, 589, 315, 6523, 645, 10559, 7562, 645, 315, 6523, 589, 6911, 7445, 11927, 10490, 5174, 21174, 2765, 3189, 11927, 589, 10559, 11927, 645, 2410, 272, 10954, 11927, 589, 315, 11927, 645, 10592, 274, 269, 20323, 17397, 676, 2699, 5091, 690, 454, 7445, 7562, 589, 7807, 6912, 346, 272, 10559, 6523, 317, 273, 288, 18098, 2765, 346, 2190, 2410, 1839, 10592, 7445, 7562, 645, 284, 10559, 2765, 3189, 11927, 645, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 1428, 2410, 1704, 10592, 7445, 6523, 645, 284, 10559, 2765, 346, 272, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 279, 2410, 1704, 10592, 7445, 11927, 645, 7807, 2765, 346, 1428, 2410, 279, 10592, 7445, 7562, 10490, 5174, 21174, 7562, 589, 315, 6523, 645, 10559, 7562, 645, 315, 6523, 589, 6911, 7445, 11927, 10490, 5174, 21174, 2765, 3189, 11927, 589, 10559, 11927, 645, 2410, 272, 10954, 11927, 589, 315, 11927, 645, 21456, 1695, 327, 9493, 1695, 2243, 875, 1705, 579, 1205, 4399, 2765, 346, 2190, 2410, 1839, 4151, 689, 4399, 6912, 346, 272, 10559, 6523, 317, 273, 288, 4151, 26042, 3633, 3951, 281, 20994, 1775, 1174, 1631, 4399, 6912, 346, 272, 268, 7268, 2765, 24877, 278, 2410, 1839, 348, 8203, 273, 348, 316, 6911, 275, 269, 20323, 17397, 676, 2699, 5091, 690, 454, 7445, 7562, 589, 7807, 6912, 346, 272, 10559, 6523, 317, 273, 288, 18098, 2765, 346, 2190, 2410, 1839, 10592, 7445, 7562, 645, 284, 10559, 2765, 3189, 11927, 645, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 1428, 2410, 1704, 10592, 7445, 6523, 645, 284, 10559, 2765, 346, 272, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 279, 2410, 1704, 10592, 7445, 11927, 645, 7807, 2765, 346, 1428, 2410, 279, 10592, 7445, 7562, 10490, 5174, 21174, 7562, 589, 315, 6523, 645, 10559, 7562, 645, 315, 6523, 589, 6911, 7445, 11927, 10490, 5174, 21174, 2765, 3189, 11927, 589, 10559, 11927, 645, 2410, 272, 10954, 11927, 589, 315, 11927, 645, 21456, 7717, 787, 2243, 875, 1705, 579, 1205, 1269, 7562, 645, 284, 10559, 2765, 3189, 11927, 645, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 22288, 476, 274, 6113, 9076, 656, 568, 16009, 267, 9811, 855, 1287, 579, 3893, 1776, 16009, 593, 9008, 1141, 19362, 568, 1547, 1946, 286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 18332, 814, 513, 2731, 562, 8463, 2587, 2088, 543, 12134, 9478, 585, 606, 5796, 267, 1317, 9041, 814, 2907, 4810, 2587, 2088, 513, 1906, 2053, 563, 271, 269, 18332, 454, 272, 269, 9478, 454, 12585, 281, 476, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 310, 3480, 3203, 543, 15339, 535, 3944, 476, 4968, 547, 476, 9610, 271, 740, 269, 570, 808, 14642, 2401, 269, 13244, 8779, 24521, 281, 16538, 267, 2070, 689, 32065, 1421, 1309, 269, 476, 12573, 589, 6185, 269, 7507, 267, 7977, 269, 25181, 269, 13244, 17939, 2088, 281, 9703, 267, 562, 1511, 267, 2070, 689, 7178, 267, 13175, 1309, 269, 476, 32455, 268, 28242, 589, 6185, 269, 7507, 563, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 563, 307, 808, 14642, 2401, 454, 3528, 345, 14932, 26832, 5783, 19821, 923, 616, 513, 7715, 940, 18710, 540, 4571, 268, 275, 628, 2540, 589, 6185, 8160, 539, 8148, 3203, 269, 2290, 540, 519, 1034, 4583, 540, 519, 17005, 19821, 923, 568, 538, 519, 5783, 540, 519, 10513, 27067, 538, 5449, 31862, 9789, 3239, 540, 2441, 593, 519, 6821, 540, 519, 5580, 7013, 19922, 563, 26596, 966, 1388, 324, 281, 4571, 268, 275, 628, 2540, 589, 6185, 269, 9703, 267, 2070, 2509, 3284, 572, 6029, 19821, 923, 281, 1496, 307, 316, 5180, 601, 23609, 540, 2441, 543, 24347, 956, 282, 1496, 12839, 316, 30340, 540, 2696, 609, 5246, 836, 1564, 282, 1496, 290, 316, 2441, 6678, 1258, 539, 609, 4911, 1564, 543, 29513, 267, 1309, 269, 476, 276, 5325, 589, 6185, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 335, 6897, 4090, 540, 24880, 9706, 6897, 8953, 540, 14934, 1674, 3842, 5610, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 29991, 519, 8701, 4090, 540, 24880, 543, 519, 8701, 8953, 540, 14934, 1674, 540, 519, 26484, 1858, 3254, 609, 2463, 547, 1448, 623, 780, 10674, 2517, 19112, 584, 2593, 270, 279, 298, 322, 272, 306, 692, 273, 269, 31999, 4834, 692, 297, 335, 815, 594, 343, 1341, 594, 344, 454, 296, 343, 815, 1299, 842, 586, 317, 273, 323, 288, 454, 296, 344, 815, 1299, 842, 2473, 317, 273, 323, 288, 692, 274, 269, 634, 3801, 693, 513, 3070, 692, 288, 815, 476, 273, 5416, 270, 273, 7565, 320, 264, 1341, 630, 273, 7565, 272, 270, 273, 7565, 320, 270, 273, 7565, 320, 264, 815, 476, 274, 320, 317, 273, 270, 273, 692, 297, 335, 815, 594, 343, 1341, 594, 344, 692, 296, 343, 815, 1299, 842, 586, 317, 273, 323, 288, 815, 7790, 11631, 1955, 2348, 8373, 609, 713, 1985, 1900, 269, 1403, 2576, 1223, 5225, 948, 803, 609, 621, 543, 2491, 547, 803, 1018, 338, 15475, 547, 7471, 594, 1131, 581, 552, 27238, 18507, 692, 296, 723, 476, 273, 1299, 842, 513, 268, 271, 692, 4284, 7775, 326, 2593, 2257, 3377, 593, 4284, 7775, 326, 2593, 23645, 14333, 5829, 7972, 538, 24607, 15810, 547, 4473, 9563, 667, 790, 19773, 5103, 2518, 8337, 1412, 335, 1021, 9166, 1353, 9563, 7256, 1377, 6766, 9341, 2916, 1282, 519, 2063, 4672, 2085, 454, 18248, 9980, 1845, 281, 476, 277, 13876, 1431, 281, 7108, 16588, 3163, 20180, 528, 17616, 581, 19230, 616, 1808, 547, 1544, 541, 3615, 540, 1770, 1858, 610, 5860, 476, 272, 270, 19327, 269, 23889, 586, 317, 273, 546, 288, 3322, 11589, 586, 543, 546, 288, 538, 2474, 540, 707, 4830, 4756, 630, 19702, 762, 540, 5610, 264, 543, 922, 11186, 269, 18391, 693, 707, 3148, 630, 320, 15972, 1794, 1355, 24047, 621, 1131, 2408, 602, 707, 1655, 914, 568, 547, 2769, 519, 8700, 693, 513, 1448, 607, 513, 1599, 540, 4463, 1775, 4318, 269, 2769, 2451, 543, 1318, 1899, 6302, 538, 2474, 540, 1535, 607, 513, 1599, 540, 586, 269, 19382, 10465, 1535, 815, 325, 12169, 6661, 533, 586, 1341, 7117, 267, 9406, 10465, 1535, 815, 575, 12169, 264, 815, 678, 586, 1341, 521, 269, 1411, 616, 10416, 267, 538, 519, 681, 22044, 2335, 2040, 267, 14253, 532, 519, 1843, 909, 883, 8880, 17446, 609, 11098, 10085, 543, 8700, 1535, 318, 2431, 910, 1535, 318, 3847, 815, 575, 12169, 9984, 325, 12169, 1070, 543, 865, 922, 1858, 568, 281, 546, 288, 815, 1496, 326, 12169, 9984, 325, 12169, 13580, 10085, 2060, 713, 11753, 586, 317, 273, 546, 288, 1063, 519, 3617, 7182, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 513, 9764, 546, 691, 4580, 540, 8953, 476, 1839, 9492, 267, 972, 616, 476, 276, 3492, 878, 10580, 269, 519, 8953, 540, 1142, 6418, 3492, 878, 5858, 568, 476, 276, 4699, 1447, 982, 519, 9018, 3492, 878, 5858, 269, 4855, 519, 5506, 602, 513, 546, 691, 16125, 9170, 538, 519, 10545, 5858, 14322, 602, 519, 546, 691, 3085, 1405, 5734, 593, 519, 10465, 540, 1022, 5858, 563, 11795, 2397, 538, 8953, 1063, 476, 273, 10580, 815, 476, 276, 9492, 454, 4131, 267, 8953, 540, 1507, 5858, 581, 1535, 563, 22382, 1535, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 815, 476, 1839, 630, 5228, 519, 6516, 994, 22382, 343, 815, 476, 276, 9492, 454, 23536, 1464, 602, 519, 546, 691, 16125, 9170, 538, 519, 1507, 5858, 815, 818, 263, 4883, 25958, 5858, 264, 541, 263, 537, 614, 2865, 5858, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 6305, 318, 2399, 832, 16325, 2187, 825, 2188, 267, 562, 815, 1496, 3910, 476, 273, 454, 825, 1247, 562, 10922, 1003, 912, 1038, 952, 1003, 4939, 562, 2652, 476, 271, 912, 2018, 2188, 6910, 3799, 994, 2018, 1003, 1315, 284, 562, 454, 1038, 3116, 912, 2018, 562, 6834, 476, 272, 952, 562, 2652, 476, 273, 3116, 476, 273, 454, 825, 2132, 2188, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6573, 274, 654, 6856, 6807, 4975, 12140, 910, 594, 6415, 12829, 1656, 594, 6415, 15775, 590, 3405, 614, 454, 297, 1195, 995, 2575, 547, 948, 707, 1126, 1451, 910, 585, 840, 17469, 547, 1101, 3446, 1053, 454, 866, 12463, 274, 14576, 338, 538, 713, 17581, 630, 4366, 281, 4366, 264, 476, 2336, 16665, 6163, 281, 8866, 22077, 13637, 281, 12409, 267, 8866, 22077, 13637, 281, 4937, 5753, 5257, 338, 8535, 267, 28239, 281, 5455, 18566, 454, 30747, 7124, 4116, 267, 6424, 21701, 267, 543, 1101, 3446, 4116, 267, 13343, 27439, 5112, 723, 2854, 8964, 602, 789, 723, 1031, 538, 741, 13460, 547, 948, 1453, 1451, 269, 634, 8964, 616, 827, 875, 547, 6432, 267, 10203, 24424, 267, 10203, 4395, 2072, 543, 23651, 267, 10203, 676, 476, 273, 5257, 338, 267, 476, 276, 5257, 338, 543, 476, 1015, 5257, 338, 267, 5022, 543, 4992, 267, 1279, 543, 2110, 20262, 4992, 267, 875, 547, 1118, 2828, 267, 875, 547, 1205, 21273, 676, 3206, 267, 1373, 513, 15552, 267, 2542, 513, 1433, 267, 19825, 3604, 1851, 1004, 267, 1603, 513, 1650, 267, 519, 17407, 267, 6586, 2719, 267, 3280, 532, 856, 1913, 267, 543, 2724, 269, 634, 909, 18566, 8964, 946, 513, 3099, 540, 11964, 689, 12563, 547, 22850, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 774, 340, 3057, 476, 1839, 476, 1704, 281, 866, 281, 6812, 476, 1708, 272, 692, 287, 10461, 281, 1325, 9109, 692, 291, 8196, 995, 9669, 543, 570, 9581, 454, 308, 660, 4157, 2367, 550, 4157, 534, 10874, 23981, 795, 636, 331, 1695, 1239, 21583, 512, 619, 574, 3966, 1019, 1305, 328, 777, 1605, 5443, 533, 3385, 24042, 270, 4289, 267, 513, 31343, 546, 777, 520, 544, 1263, 30516, 31703, 1187, 7714, 328, 1207, 527, 2987, 7003, 14061, 476, 7531, 307, 1872, 553, 476, 272, 912, 298, 564, 1731, 16988, 1494, 784, 534, 737, 1712, 10874, 1731, 583, 533, 3385, 2661, 3009, 9375, 1384, 692, 31703, 2367, 724, 553, 559, 16988, 3977, 476, 275, 269, 918, 655, 644, 1014, 10484, 692, 31703, 2367, 724, 553, 559, 16988, 3977, 476, 275, 780, 307, 1872, 553, 476, 273, 912, 307, 1716, 344, 1092, 740, 320, 2468, 330, 737, 327, 639, 639, 21583, 546, 777, 520, 513, 31343, 7784, 31703, 2150, 4157, 544, 1263, 330, 517, 951, 328, 536, 8538, 698, 2967, 512, 6559, 1239, 4015, 269, 1230, 1729, 327, 5500, 320, 1384, 454, 306, 601, 534, 329, 583, 5500, 320, 513, 31343, 546, 777, 520, 803, 548, 5404, 1046, 534, 1592, 1183, 546, 15401, 1305, 3890, 2150, 4157, 544, 1263, 330, 517, 951, 328, 694, 25975, 1695, 1592, 1183, 694, 25975, 1695, 1305, 7531, 323, 534, 803, 548, 5404, 1046, 534, 1305, 1183, 546, 15401, 1592, 3890, 2150, 4157, 544, 1263, 330, 517, 951, 328, 694, 25975, 1695, 1305, 1183, 694, 25975, 1695, 1592, 7531, 31703, 2367, 2086, 559, 16988, 3977, 1384, 454, 339, 20891, 538, 328, 513, 16988, 31025, 520, 536, 1120, 10044, 11337, 11986, 513, 31343, 3824, 514, 544, 754, 777, 520, 16988, 13276, 584, 7795, 1592, 3693, 796, 1731, 533, 3385, 536, 1695, 14505, 533, 655, 5766, 1090, 534, 5124, 780, 8528, 8528, 307, 1872, 553, 912, 298, 564, 1731, 16988, 1494, 784, 534, 737, 1712, 10874, 1731, 583, 533, 3385, 2661, 3009, 9375, 912, 12163, 258, 16515, 921, 454, 2745, 2891, 24257, 16515, 921, 5602, 14654, 921, 318, 5443, 340, 815, 18011, 294, 5964, 3766, 5964, 12887, 288, 344, 600, 717, 648, 978, 12887, 305, 754, 836, 12887, 298, 564, 641, 21531, 5073, 329, 636, 331, 1695, 318, 5443, 340, 815, 7003, 6025, 340, 921, 318, 5443, 340, 994, 2745, 27203, 636, 331, 1695, 318, 5443, 340, 994, 258, 5903, 454, 2745, 2891, 24257, 5903, 5602, 4289, 318, 5443, 340, 815, 18358, 294, 5964, 3766, 5964, 12887, 288, 344, 600, 717, 648, 978, 12887, 305, 754, 836, 12887, 298, 564, 641, 21531, 23300, 329, 636, 331, 1695, 318, 5443, 340, 815, 7003, 17338, 318, 5443, 340, 994, 2745, 27203, 636, 331, 1695, 318, 5443, 340, 994, 258, 23951, 951, 328, 512, 6559, 1239, 454, 2745, 2891, 24257, 23951, 951, 328, 512, 6559, 1239, 5602, 4289, 10734, 340, 1695, 815, 18358, 25721, 601, 3299, 1412, 25721, 601, 3299, 1412, 297, 518, 4157, 3299, 1412, 15812, 13453, 3299, 1412, 297, 518, 4157, 3299, 1412, 15812, 13453, 3299, 1412, 25721, 601, 23300, 3553, 10734, 340, 1695, 815, 1305, 17338, 10734, 340, 1695, 994, 2745, 263, 3553, 10734, 340, 1695, 994, 4289, 10734, 340, 1695, 815, 1592, 263, 3553, 10734, 340, 1695, 994, 4289, 10734, 340, 1695, 31699, 4590, 2745, 17338, 10734, 340, 1695, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 7849, 8249, 1411, 9894, 333, 1406, 5700, 1411, 10261, 539, 454, 293, 1601, 559, 10173, 1522, 1205, 782, 519, 3007, 267, 855, 513, 2487, 6602, 538, 25157, 568, 513, 12576, 540, 519, 824, 267, 1447, 268, 615, 531, 4765, 2067, 2200, 602, 649, 946, 563, 1432, 779, 538, 513, 8745, 630, 8170, 1323, 27100, 25145, 290, 1335, 1235, 5063, 9307, 519, 4408, 540, 2185, 9241, 4362, 2609, 269, 715, 5446, 2609, 568, 3978, 1870, 267, 543, 711, 1510, 15784, 563, 1692, 14731, 595, 4459, 20290, 9894, 333, 1406, 5269, 3571, 670, 4007, 5027, 20570, 454, 23873, 21997, 2389, 29354, 1532, 328, 6048, 14731, 595, 4459, 4362, 519, 2497, 540, 5027, 476, 1911, 1296, 3516, 269, 595, 4459, 1185, 513, 5996, 565, 3176, 8905, 547, 713, 1271, 6602, 563, 11900, 728, 519, 1325, 17057, 626, 779, 22544, 454, 1432, 2645, 1131, 606, 620, 17057, 626, 946, 538, 519, 1391, 547, 18993, 1393, 824, 2609, 883, 4154, 888, 763, 17451, 7232, 341, 6295, 11270, 545, 7305, 540, 15689, 454, 19177, 1007, 2609, 734, 13647, 267, 476, 12893, 267, 476, 14056, 267, 543, 476, 14093, 734, 17647, 1044, 3773, 547, 519, 13350, 3349, 269, 1809, 519, 3406, 585, 1007, 2609, 18387, 1405, 2141, 1044, 865, 9836, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8624, 614, 1809, 974, 5013, 585, 3214, 454, 30022, 5013, 585, 3214, 8624, 614, 1809, 974, 454, 8624, 614, 1809, 974, 10704, 563, 22139, 8054, 2460, 607, 2938, 689, 8672, 15875, 563, 4433, 636, 2466, 838, 790, 540, 6778, 15917, 6577, 538, 32215, 994, 347, 292, 4582, 566, 1475, 278, 267, 22724, 10264, 630, 273, 267, 21076, 544, 10245, 19064, 668, 29561, 1475, 4200, 275, 10264, 630, 24062, 544, 10245, 347, 3674, 15684, 1475, 272, 269, 11463, 11465, 630, 274, 269, 1321, 5998, 10245, 19064, 1861, 8445, 1475, 2704, 338, 777, 1809, 974, 630, 278, 267, 4335, 10264, 10245, 347, 19613, 1475, 294, 8681, 24258, 2817, 5244, 454, 290, 27019, 3626, 6019, 267, 14151, 267, 2475, 454, 19064, 1861, 2039, 1475, 298, 320, 756, 629, 17934, 879, 454, 347, 12749, 334, 4786, 1475, 4785, 14899, 9546, 327, 718, 320, 17934, 879, 2008, 347, 13911, 540, 4224, 1475, 338, 663, 7723, 267, 14680, 267, 32549, 2008, 8624, 614, 1809, 974, 568, 513, 476, 278, 267, 22724, 20356, 3887, 4582, 566, 630, 273, 267, 21076, 2173, 2678, 264, 21895, 4092, 538, 519, 9835, 24258, 538, 23081, 517, 3626, 6019, 540, 7187, 14151, 267, 7330, 269, 898, 568, 13883, 2185, 5195, 22703, 540, 8672, 15875, 267, 1141, 621, 20610, 476, 274, 267, 7785, 3952, 630, 272, 267, 1911, 7397, 264, 1657, 715, 1678, 578, 324, 777, 24258, 269, 4706, 12543, 1331, 17659, 344, 30078, 267, 476, 273, 269, 276, 5195, 547, 519, 7178, 5991, 2180, 8054, 267, 1325, 338, 777, 1809, 974, 1079, 5195, 547, 519, 22070, 267, 543, 4210, 3739, 1809, 974, 835, 28451, 13304, 547, 519, 7532, 269, 2051, 614, 1809, 974, 568, 3957, 1310, 6276, 717, 269, 670, 269, 2051, 614, 630, 7277, 275, 1700, 4572, 273, 1070, 4535, 538, 25429, 32108, 267, 4516, 267, 646, 3357, 547, 519, 14151, 24540, 538, 476, 6942, 273, 607, 513, 22082, 267, 16027, 267, 12418, 2006, 267, 28833, 543, 18418, 5964, 25142, 269, 1261, 729, 519, 4651, 540, 14151, 1533, 6845, 1807, 12049, 2051, 614, 269, 901, 10923, 4183, 781, 2012, 729, 13166, 7550, 538, 476, 4350, 273, 676, 519, 2136, 2276, 8274, 593, 22127, 18780, 269, 4340, 547, 519, 918, 7238, 653, 523, 2916, 8760, 1062, 267, 2051, 614, 1809, 974, 568, 4092, 538, 513, 4411, 10859, 268, 541, 573, 2916, 7997, 269, 901, 855, 974, 568, 7768, 540, 6755, 985, 10944, 1014, 6261, 1069, 1014, 10016, 2967, 6828, 799, 6772, 904, 29384, 268, 14127, 7323, 13490, 1014, 4414, 13665, 7799, 9693, 267, 799, 538, 2490, 6772, 904, 9386, 268, 14127, 18095, 6929, 570, 15193, 6828, 269, 2776, 27457, 2787, 20359, 689, 713, 4183, 28368, 7532, 547, 519, 12548, 5211, 3842, 715, 1678, 578, 324, 777, 15880, 593, 519, 5087, 2427, 543, 32765, 698, 2863, 15880, 689, 519, 5045, 9386, 563, 8624, 614, 1809, 974, 12700, 585, 8866, 269, 918, 1497, 15610, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 12821, 1380, 6953, 1069, 924, 5610, 18185, 692, 1012, 6726, 919, 519, 7533, 540, 519, 2016, 1599, 535, 3287, 264, 936, 519, 8884, 11196, 31236, 267, 31236, 264, 1210, 12821, 1380, 6953, 1069, 924, 5610, 780, 4399, 7538, 3189, 26171, 315, 842, 18155, 20791, 28363, 13727, 23685, 24264, 346, 1839, 4153, 20791, 1422, 13727, 3686, 324, 13064, 343, 317, 273, 348, 325, 3287, 264, 11459, 315, 338, 830, 336, 3189, 26171, 315, 8999, 18155, 20791, 1775, 284, 272, 8703, 333, 3686, 342, 3709, 328, 348, 325, 3287, 10983, 9385, 315, 3189, 26171, 315, 842, 18155, 20791, 28363, 13727, 23685, 24264, 346, 1839, 4153, 20791, 1422, 13727, 3686, 326, 3287, 264, 11459, 315, 338, 830, 336, 3189, 26171, 315, 8999, 18155, 20791, 1775, 284, 272, 8703, 333, 3686, 342, 3709, 328, 348, 324, 3867, 343, 10983, 317, 273, 348, 326, 3287, 10983, 1070, 315, 24264, 346, 1015, 348, 326, 3287, 6661, 324, 13064, 343, 317, 273, 348, 325, 3287, 9385, 315, 14204, 575, 3287, 6661, 324, 14870, 273, 325, 3287, 994, 575, 3287, 264, 535, 3287, 994, 15652, 562, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 476, 1724, 476, 1691, 476, 1428, 476, 1626, 476, 1704, 476, 1240, 476, 866, 476, 736, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 476, 2767, 476, 2764, 476, 3066, 476, 1789, 476, 4029, 476, 3953, 476, 3451, 476, 4097, 476, 3374, 476, 3607, 476, 4391, 476, 4343, 476, 4375, 476, 2412, 476, 6078, 476, 5655, 476, 6246, 476, 4510, 476, 3393, 476, 5379, 476, 5325, 476, 4366, 476, 5392, 476, 2004, 476, 7906, 476, 7367, 476, 7871, 476, 7918, 476, 4649, 476, 6321, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 8287, 476, 5038, 476, 4792, 476, 5780, 476, 6858, 476, 6924, 476, 7597, 476, 3583, 476, 10170, 476, 7761, 476, 10463, 476, 10619, 476, 4037, 476, 10602, 476, 6507, 476, 4281, 476, 8064, 476, 3199, 476, 10037, 476, 11025, 476, 10695, 476, 10019, 476, 5952, 476, 10436, 476, 9262, 476, 6434, 476, 8660, 476, 3445, 476, 11011, 476, 10844, 476, 11152, 476, 11463, 476, 4817, 476, 9834, 476, 9032, 476, 7176, 476, 4200, 476, 1911, 454, 476, 277, 323, 25885, 1015, 323, 25885, 1691, 323, 25885, 1240, 323, 25885, 2420, 323, 25885, 2918, 323, 25885, 1789, 323, 25885, 4097, 323, 25885, 4343, 323, 25885, 5655, 323, 25885, 5379, 323, 25885, 2004, 323, 25885, 692, 13575, 267, 713, 7533, 666, 581, 6385, 543, 8308, 7229, 7868, 2076, 8681, 535, 3287, 264, 568, 10924, 547, 581, 25107, 543, 1875, 12656, 1675, 545, 269, 7445, 7538, 12821, 1380, 6953, 1069, 924, 315, 5610, 11138, 314, 1015, 28488, 272, 9385, 11513, 26171, 315, 842, 18155, 20791, 28363, 13727, 23685, 24264, 346, 1839, 4153, 20791, 1422, 13727, 3686, 325, 3287, 264, 11459, 315, 338, 830, 336, 3189, 26171, 315, 8999, 18155, 20791, 1775, 284, 272, 8703, 333, 3686, 342, 3709, 328, 348, 324, 3867, 343, 10983, 317, 273, 348, 325, 3287, 10983, 9385, 315, 314, 1015, 316, 315, 24264, 346, 1789, 348, 9136, 315, 1535, 10983, 24097, 24264, 346, 736, 348, 295, 5332, 3287, 10983, 6661, 271, 11138, 315, 24264, 346, 1789, 348, 2597, 315, 24264, 346, 736, 348, 530, 10983, 284, 3189, 26171, 21702, 346, 273, 3867, 333, 266, 272, 7346, 26171, 562, 256, 315, 6912, 3189, 7032, 3686, 2410, 314, 295, 3709, 333, 266, 272, 12917, 343, 10983, 13580, 317, 273, 3686, 11138, 6911, 2414, 2087, 713, 1412, 294, 320, 1380, 6953, 1069, 924, 5610, 18185, 3299, 5225, 6445, 538, 18102, 780, 300, 1446, 610, 5482, 1446, 15017, 300, 1446, 21058, 454, 21848, 454, 15152, 476, 736, 1296, 2025, 476, 736, 1296, 2025, 1377, 476, 1789, 1296, 2025, 1377, 454, 2412, 1296, 2025, 1377, 476, 2004, 1296, 2025, 1377, 476, 2568, 1296, 2025, 1377, 610, 936, 454, 30999, 1575, 566, 454, 292, 11915, 1153, 270, 28133, 1164, 17469, 2875, 454, 11947, 17469, 270, 2160, 270, 27240, 2875, 589, 4630, 655, 6033, 1323, 5604, 11832, 1315, 589, 1857, 9441, 454, 20236, 15041, 23903, 1004, 1323, 11653, 589, 4116, 1315, 589, 11001, 454, 288, 19622, 1004, 11524, 454, 8196, 995, 888, 25802, 2422, 995, 589, 2370, 3502, 693, 2353, 454, 303, 17123, 540, 946, 286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 278, 268, 280, 3143, 2250, 1090, 328, 281, 4635, 519, 1592, 26889, 318, 7451, 1106, 3635, 278, 268, 279, 18258, 267, 1118, 2386, 519, 26889, 1412, 335, 770, 1090, 328, 262, 5526, 538, 519, 1592, 693, 2547, 1614, 2053, 563, 258, 11754, 3009, 2282, 519, 4098, 540, 707, 1982, 547, 1820, 513, 5048, 6031, 519, 1642, 328, 814, 2196, 856, 540, 2250, 1090, 328, 267, 543, 1287, 946, 513, 1247, 8520, 547, 4894, 782, 20825, 540, 1412, 335, 770, 1090, 328, 262, 689, 26889, 318, 7451, 563, 258, 13014, 2386, 1100, 2250, 1090, 328, 32409, 1439, 909, 538, 8737, 32409, 780, 258, 8794, 3635, 278, 268, 279, 18258, 454, 2745, 2891, 28989, 256, 12815, 1090, 328, 32409, 5749, 1405, 2139, 23528, 338, 663, 16049, 318, 7451, 815, 18358, 339, 10044, 3299, 1412, 335, 770, 1090, 328, 3299, 1412, 335, 14040, 3299, 1412, 3832, 3150, 3299, 1412, 335, 770, 1090, 328, 3299, 1412, 3832, 3150, 3299, 1412, 339, 10044, 3299, 1412, 335, 770, 1090, 328, 23300, 21129, 1639, 5334, 663, 23495, 1127, 815, 29129, 6112, 1412, 335, 770, 1090, 328, 262, 538, 26889, 318, 7451, 912, 825, 26889, 318, 7451, 31927, 3488, 335, 770, 1090, 328, 17210, 6112, 26889, 318, 7451, 912, 825, 1699, 5334, 663, 16049, 815, 26889, 318, 7451, 21014, 4590, 825, 1820, 2891, 25387, 1818, 834, 1341, 1699, 5334, 663, 16049, 1341, 834, 26889, 5602, 825, 8737, 5334, 663, 23495, 1127, 6910, 263, 9690, 5334, 663, 16049, 2020, 2745, 2891, 763, 1739, 32409, 941, 1500, 281, 19515, 1721, 26889, 538, 8737, 5334, 663, 23495, 1127, 912, 825, 1820, 4433, 663, 16049, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1607, 7317, 1982, 568, 513, 1187, 543, 11295, 3992, 1390, 585, 1053, 6502, 476, 274, 268, 278, 1296, 2025, 2519, 593, 519, 1739, 3853, 912, 268, 29130, 519, 1523, 540, 1216, 3106, 454, 268, 3447, 622, 519, 1453, 827, 519, 2956, 540, 1216, 3106, 454, 268, 6435, 519, 1453, 1451, 3106, 2409, 543, 2057, 1761, 12178, 538, 543, 1472, 519, 1216, 454, 268, 3447, 622, 1453, 827, 2081, 547, 6023, 1216, 6433, 3871, 454, 268, 3629, 2326, 543, 1344, 547, 519, 1453, 538, 606, 4674, 547, 2061, 1216, 1644, 10913, 454, 290, 514, 1723, 1546, 25832, 7731, 7926, 11812, 269, 27207, 267, 2984, 267, 7544, 2773, 676, 834, 7775, 326, 1638, 334, 11204, 334, 2437, 543, 513, 8930, 1092, 3544, 1310, 519, 2680, 2336, 18794, 519, 7732, 543, 824, 18718, 6229, 7991, 2516, 607, 649, 8661, 519, 15713, 540, 18718, 6229, 1282, 519, 2334, 4303, 538, 2904, 3474, 1228, 799, 5956, 693, 32599, 1721, 25376, 4582, 731, 2282, 22548, 13860, 543, 9843, 3345, 4724, 519, 4400, 3427, 563, 16729, 519, 31959, 267, 1265, 519, 7732, 1630, 1054, 693, 519, 1286, 333, 2526, 6438, 11812, 689, 29869, 547, 476, 275, 533, 6230, 269, 593, 32599, 1721, 25376, 4582, 731, 267, 1063, 667, 749, 6229, 543, 15053, 534, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5814, 2979, 454, 343, 815, 703, 9272, 2891, 11767, 513, 1297, 2433, 27328, 344, 815, 1535, 4939, 476, 1015, 454, 2745, 2891, 8310, 7857, 540, 2016, 1297, 568, 2433, 14307, 344, 994, 258, 5084, 309, 23814, 25663, 28513, 4534, 3097, 11415, 318, 935, 3200, 815, 1193, 3287, 994, 26319, 815, 7003, 30415, 318, 935, 3200, 2020, 604, 10857, 2654, 4939, 476, 273, 2652, 476, 271, 2187, 825, 1820, 8987, 272, 994, 12828, 912, 825, 11667, 815, 703, 9230, 343, 12262, 2979, 4877, 578, 263, 1015, 267, 3259, 12262, 476, 273, 30727, 4939, 476, 1015, 3248, 825, 1820, 263, 4364, 1014, 994, 8931 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5319, 762, 4334, 4528, 692, 258, 570, 12460, 9288, 18248, 692, 1012, 1215, 547, 25506, 1520, 329, 8809, 4675, 11915, 27449, 692, 1103, 5562, 454, 4517, 4319, 10557, 454, 19688, 476, 5400, 267, 476, 1708, 272, 692, 1103, 9511, 267, 649, 2285, 1114, 4408, 547, 1114, 2010, 540, 7285, 4470, 593, 519, 2268, 540, 519, 2016, 5086, 281, 1318, 7285, 267, 11105, 24045, 7285, 267, 7299, 7285, 269, 1809, 875, 798, 649, 917, 799, 568, 799, 2496, 2252, 519, 2268, 540, 519, 5086, 568, 4010, 476, 3445, 5232, 267, 621, 779, 1634, 607, 513, 1318, 5086, 269, 1403, 606, 5086, 568, 1447, 982, 476, 3445, 5232, 267, 621, 779, 606, 8650, 5086, 269, 1323, 5086, 3152, 982, 476, 3445, 5232, 568, 606, 1073, 339, 2224, 5086, 269, 1403, 519, 2268, 540, 606, 5086, 568, 3160, 547, 476, 5197, 5232, 267, 621, 779, 1634, 607, 513, 2786, 5086, 780, 2467, 616, 849, 4408, 2016, 547, 8424, 540, 7285, 780, 309, 1068, 673, 7285, 267, 610, 6587, 7285, 267, 616, 519, 1079, 7285, 2047, 6587, 1142, 824, 950, 1079, 2786, 3515, 3444, 630, 8201, 476, 272, 6393, 4467, 921, 29232, 7285, 616, 1079, 7285, 602, 1039, 547, 476, 3445, 5232, 630, 8201, 476, 273, 6393, 11045, 11915, 7285, 616, 1079, 7285, 602, 1039, 909, 547, 476, 5197, 5232, 630, 8201, 476, 274, 6393, 17951, 956, 616, 11105, 950, 789, 2671, 513, 1455, 2427, 543, 513, 1455, 14584, 780, 17951, 956, 476, 272, 543, 476, 273, 616, 1875, 29951, 8809, 267, 1247, 7285, 476, 274, 543, 476, 275, 616, 2443, 789, 2671, 513, 1455, 2427, 543, 14584, 780, 3086, 602, 649, 1174, 519, 8847, 540, 11105, 543, 1875, 29951, 8809, 7285, 267, 649, 666, 1294, 602, 11105, 24045, 7285, 616, 1079, 7285, 602, 2671, 513, 2427, 543, 14584, 543, 1039, 909, 547, 476, 5197, 5232, 780, 8794, 713, 4214, 267, 1413, 693, 519, 6516, 2630, 547, 1294, 799, 7285, 616, 11105, 24045, 780, 17951, 956, 13235, 543, 9474, 291, 616, 11105, 1317, 789, 2671, 1899, 10126, 9474, 543, 14584, 645, 780, 17951, 956, 31246, 294, 543, 31254, 297, 616, 711, 11105, 1317, 789, 1810, 1406, 2671, 1022, 1455, 2427, 780, 4913, 267, 519, 5086, 3800, 538, 1312, 8424, 540, 24045, 7285, 630, 27398, 543, 9474, 291, 267, 543, 31246, 294, 543, 31254, 297, 264, 1869, 3160, 476, 5197, 5232, 780, 2414, 2689, 267, 602, 1797, 31246, 294, 543, 31254, 297, 616, 24045, 7285, 269, 1717, 267, 1152, 13235, 543, 9474, 291, 616, 11105, 24045, 7285, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 875, 798, 596, 946, 519, 14036, 693, 512, 23147, 11350, 888, 271, 269, 5671, 14794, 621, 593, 707, 1426, 563, 272, 269, 16702, 707, 1426, 538, 621, 563, 12585, 281, 476, 271 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 26286, 476, 543, 7504, 2773, 1411, 666, 1294, 519, 15265, 27683, 543, 9543, 9640, 693, 674, 15120, 17924, 25089, 269, 5901, 2476, 689, 519, 27683, 1547, 6884, 789, 5749, 1405, 7874, 2614, 1547, 2791, 666, 11878, 519, 7504, 543, 1491, 6337, 1547, 5384, 2433, 15037, 1547, 272, 734, 15037, 1547, 274, 1363, 20052, 2433, 476, 9262, 274, 25090, 6924, 16989, 2433, 567, 476, 2568, 312, 284, 23526, 4132, 2433, 567, 476, 1789, 312, 284, 19594, 543, 17794, 2773, 1411, 666, 1294, 3170, 3109, 12217, 543, 17559, 476, 21495, 693, 4258, 978, 706, 25089, 269, 476, 1358, 786, 1685, 1082, 2238, 269, 1403, 596, 616, 711, 12703, 2614, 2073, 596, 12582, 1405, 2097, 547, 1294, 873, 1547, 630, 18244, 896, 476, 277, 5749, 1405, 4847, 547, 2097, 3738, 5384, 6902, 15037, 269, 476, 273, 9041, 476, 955, 15037, 1547, 476, 276, 567, 20052, 2433, 476, 5952, 279, 280, 3583, 6246, 16989, 2433, 962, 284, 2004, 25639, 4132, 2433, 312, 284, 1839, 667, 20462, 514, 2773, 1411, 666, 1294, 17681, 23522, 693, 667, 6501, 25089, 1547, 634, 23522, 786, 7914, 856, 540, 519, 1216, 543, 2285, 596, 513, 2773, 1547, 1403, 596, 666, 7669, 2073, 596, 616, 849, 4847, 547, 2097, 883, 519, 1216, 543, 1404, 609, 873, 609, 519, 948, 540, 519, 30157, 1547, 5384, 2433, 4924, 1547, 275, 9041, 4924, 269, 279, 8587, 20052, 281, 476, 279, 4029, 18605, 11463, 16989, 2433, 312, 284, 3199, 17264, 4132, 2433, 312, 284, 275, 334, 2073, 269, 6904, 540, 519, 1739, 568, 10691, 476, 3020, 15017, 271, 269, 634, 3902, 540, 519, 7703, 543, 17794, 2773, 568, 519, 9803, 540, 519, 1614, 2676, 272, 269, 1403, 596, 1616, 547, 917, 827, 3979, 2831, 2073, 9767, 666, 979, 547, 4258, 978, 706, 23291, 563, 273, 269, 15651, 670, 7699, 666, 1294, 1614, 5686, 540, 3662, 2773, 593, 4924, 269, 278, 563, 274, 269, 570, 6865, 568, 1614, 1296, 2025, 2073, 865, 646, 666, 1405, 979, 547, 1294, 519, 20259, 543, 7504, 2773, 4586, 12585, 281, 476, 274 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12163, 333, 423, 366, 486, 424, 356, 372, 14091, 361, 372, 28990, 494, 10563, 370, 506, 423, 510, 354, 454, 268, 10563, 486, 360, 28990, 494, 562, 422, 367, 376, 14091, 361, 372, 28990, 494, 29306, 368, 476, 17432, 502, 423, 480, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 454, 268, 14091, 361, 372, 28990, 494, 29306, 368, 14602, 502, 562, 423, 366, 486, 424, 356, 372, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 370, 506, 423, 510, 354, 3097, 20701, 3240, 21803, 815, 3403, 2891, 423, 361, 372, 28990, 494, 29306, 368, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 19515, 333, 815, 703, 9272, 2891, 424, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 834, 11723, 2745, 30044, 21803, 19559, 8079 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3698, 5493, 30308, 16216, 17107, 14851, 1826, 16216, 264, 11203, 1193, 912, 453, 16596, 8771, 454, 28432, 281, 28768, 453, 453, 324, 815, 552, 18622, 2897, 2891, 14307, 834, 5602, 453, 14851, 7003, 16216, 264, 10922, 476, 271, 912, 4848, 16596, 8771, 454, 453, 28432, 281, 28768, 4848, 14851, 1193, 31573, 16216, 264, 2652, 1193, 31573, 16216, 264, 11468, 18737, 272, 14158, 15235, 16596, 6936, 454, 4848, 28432, 912, 15235, 16596, 8771, 7531, 258, 769, 713, 5044, 649, 5581, 519, 2418, 602, 649, 1616, 547, 946, 538, 938, 1599, 454, 11907, 13729, 815, 1496, 274, 267, 476, 273, 269, 274, 10086, 825, 1412, 10086, 15886, 12887, 7176, 12887, 2207, 324, 256, 324, 3918, 12887, 3725, 256, 324, 3918, 12887, 26008, 12887, 8627, 257, 256, 12887, 332, 636, 12887, 22861, 12887, 338, 558, 657, 522, 1100, 1474, 657, 12887, 338, 558, 657, 1100, 1474, 657, 12887, 306, 558, 657, 522, 1100, 865, 300, 657, 12887, 306, 558, 657, 12971, 1474, 657, 12887, 2230, 12887, 11898, 1412, 10086, 324, 274, 324, 287, 324, 274, 324, 12887, 324, 274, 324, 287, 2465, 12887, 1321, 270, 1556, 270, 2641, 12887, 6349, 270, 6349, 270, 1708, 271, 262, 6540, 454, 1721, 552, 538, 1239, 13729, 281, 3097, 453, 258, 1403, 519, 3693, 540, 519, 1239, 1305, 621, 781, 513, 5493, 30308, 713, 1599, 786, 1820, 6936, 952, 621, 781, 711, 267, 713, 1599, 786, 1820, 8771, 692, 13537, 9638, 531, 30308, 16216, 4297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 18411, 32046, 593, 9484, 476, 1789, 267, 476, 1001, 275, 692, 287, 10461, 281, 546, 338, 3766, 320, 268, 1911, 278, 454, 18411, 3698, 1292, 10031, 825, 1101, 12173, 284, 3863, 17750, 2891, 11767, 707, 1101, 2012, 281, 19515, 825, 2063, 12173, 284, 3863, 17750, 2891, 11767, 707, 2063, 2012, 281, 19515, 825, 1820, 834, 11767, 707, 4266, 540, 4332, 281, 27029, 825, 3923, 284, 3863, 17750, 2891, 12507, 628, 286, 19515, 825, 1554, 284, 3863, 17750, 2891, 21196, 286, 19515, 825, 1032, 284, 3863, 17750, 2891, 17413, 286, 19515, 825, 1820, 1101, 12173, 266, 257, 834, 266, 18431, 12173, 266, 257, 834, 266, 257, 13195, 4535, 593, 834, 266, 24629, 266, 257, 834, 266, 1598, 263, 1485, 11924, 14824, 266, 1598, 12169, 792, 11924, 257, 4799, 8931, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1012, 29329, 10789, 630, 277, 628, 9990, 2020, 259, 1626, 343, 317, 273, 266, 279, 343, 345, 266, 345, 317, 273, 14204, 8794, 519, 4009, 540, 513, 23481, 267, 18159, 320, 17070, 8203, 273, 30381, 317, 273, 266, 273, 5416, 7565, 321, 11924, 321, 317, 273, 8961, 519, 2016, 4082, 568, 6697, 547, 1422, 8218, 9387, 15857, 1299, 630, 275, 343, 266, 345, 8203, 273, 8607, 11138, 261, 630, 275, 343, 8203, 273, 266, 273, 263, 275, 343, 7565, 345, 11924, 263, 345, 8203, 273, 8607, 11138, 261, 476, 1626, 343, 317, 273, 266, 279, 343, 345, 266, 345, 317, 273, 1547, 315, 754, 9387, 15857 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1012, 2776, 20412, 639, 630, 277, 628, 9990, 2020, 7445, 7562, 476, 736, 14204, 7445, 6912, 11513, 13320, 2715, 272, 10559, 6523, 476, 2412, 2410, 273, 3686, 7807, 6912, 11513, 13320, 2715, 272, 10559, 6523, 1422, 3847, 263, 476, 273, 24585, 476, 736, 9368, 264, 25452, 273, 3686, 7807, 6912, 11513, 13320, 2715, 272, 10559, 3847, 263, 1422, 6523, 476, 3867, 273, 348, 736, 10559, 7562, 476, 3867, 273, 348, 736, 9368, 264, 25452, 273, 3686, 7807, 6912, 11513, 13320, 2715, 273, 315, 7562, 476, 3867, 273, 348, 736, 2410, 273, 3686, 7807, 7562, 476, 736, 259 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 1215, 1082, 15956, 616, 593, 513, 630, 20598, 476, 272, 268, 277, 264, 5884, 888, 12585, 281, 26062, 14633, 454, 2704, 328, 1162, 281, 8938, 14633, 267, 476, 2641, 267, 26062, 14633 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 417, 354, 354, 12255, 18263, 489, 14395, 370, 13127, 354, 354, 12255, 18777, 374, 417, 507, 505, 22614, 362, 478, 419, 509, 511, 419, 499, 503, 420, 357, 478, 454, 1923, 28859, 355, 500, 421, 350, 369, 1923, 22614, 360, 508, 420, 369, 505, 27962, 419, 374, 366, 1923, 476, 25263, 502, 26175, 478, 31176, 491, 20001, 486, 1923, 476, 25335, 484, 30903, 495, 418, 493, 494, 419, 353, 374, 1923, 476, 4970, 497, 30903, 502, 18777, 366, 18021, 356, 1923, 476, 18777, 374, 24757, 421, 498, 355, 421, 505, 484, 1923, 476, 14756, 376, 12571, 486, 18777, 511, 14756, 481, 1923, 476, 32517, 362, 420, 374, 360, 10429, 375, 26233, 356, 1923, 13127, 362, 370, 10533, 503, 23946, 367, 9463, 364, 1923, 13127, 354, 354, 12255, 18777, 374, 417, 507, 505, 11406, 634, 476, 4029, 560, 2136, 2276, 540, 3013, 9119, 10493, 328, 611, 476, 1220, 273, 23946, 368, 21588, 361, 4029, 31271, 488, 419, 378, 492, 18713, 30936, 27730, 417, 354, 354, 22909, 501, 25060, 373, 10429, 489, 589, 272, 269, 7987, 478, 4131, 590, 581, 513, 1305, 609, 476, 1220, 273, 2609, 543, 623, 519, 1305, 540, 782, 922, 29162, 269, 28171, 602, 585, 1022, 562, 630, 514, 519, 2039, 689, 4642, 547, 1923, 303, 347, 264, 649, 666, 2681, 562, 2609, 540, 623, 3043, 267, 543, 519, 1964, 3109, 267, 865, 602, 519, 9769, 540, 1022, 1079, 2609, 540, 623, 609, 519, 1482, 2681, 814, 519, 1482, 2681, 269, 589, 273, 269, 7987, 478, 763, 6906, 13235, 25389, 519, 6935, 28422, 273, 288, 270, 273, 1341, 476, 275, 28422, 273, 289, 270, 273, 1341, 476, 280, 28422, 273, 290, 270, 273, 815, 476, 280, 5416, 17070, 25239, 264, 273, 14370, 5392, 337, 273, 1070, 1141, 678, 568, 519, 8953, 540, 519, 1651, 22511, 630, 663, 513, 815, 1923, 6195, 347, 3092, 267, 607, 8912, 1040, 8058, 602, 13235, 568, 2147, 547, 513, 6906, 4171, 5011, 616, 9981, 543, 1265, 519, 10545, 1305, 540, 971, 9981, 269, 589, 274, 269, 7987, 478, 335, 3287, 264, 568, 513, 9971, 540, 4110, 562, 609, 1483, 14170, 543, 3056, 11664, 476, 272, 269, 8058, 602, 649, 666, 1265, 1079, 21335, 7117, 3287, 264, 543, 678, 3287, 264, 799, 1312, 723, 4110, 562, 267, 782, 5072, 1483, 543, 3056, 11664, 476, 272, 267, 971, 602, 533, 3287, 264, 815, 7117, 3287, 8358, 273, 1341, 678, 3287, 8358, 273, 269, 645, 272, 269, 7987, 478, 8340, 782, 1483, 29705, 4240, 3252, 535, 593, 519, 556, 1023, 971, 602, 535, 3287, 273, 910, 586, 273, 264, 815, 1535, 535, 3287, 264, 910, 586, 535, 12169, 264, 585, 782, 1535, 267, 586, 269, 645, 273, 269, 7987, 478, 17004, 602, 649, 666, 3095, 1022, 1079, 9981, 544, 267, 562, 3152, 982, 476, 273, 676, 513, 5832, 540, 2318, 9981, 544, 815, 513, 272, 267, 513, 273, 267, 3267, 2073, 513, 330, 266, 272, 815, 562, 267, 865, 602, 519, 1587, 540, 1022, 1079, 15654, 2818, 540, 519, 5832, 568, 16883, 676, 741, 2040, 269, 1496, 2690, 1383, 267, 476, 278, 267, 476, 5655, 267, 476, 2641, 267, 476, 2764, 267, 476, 3583, 267, 476, 1789, 267, 476, 277, 267, 476, 274, 6402, 476, 278, 543, 476, 274, 20426, 645, 274, 269, 7987, 478, 288, 512, 668, 3626, 568, 513, 476, 272, 1535, 476, 274, 13551, 269, 570, 668, 3626, 525, 616, 5116, 593, 606, 562, 1535, 562, 4604, 269, 3962, 512, 668, 3626, 1590, 1899, 909, 609, 519, 10945, 593, 519, 4604, 267, 865, 602, 621, 6227, 4010, 1614, 10945, 269, 2913, 535, 3799, 264, 581, 519, 10545, 1297, 540, 512, 668, 3626, 525, 2838, 547, 3247, 1022, 811, 1373, 5116, 269, 8058, 602, 585, 782, 562, 3436, 476, 271, 267, 562, 273, 270, 278, 1341, 554, 333, 18016, 535, 3799, 264, 18016, 562, 273, 270, 276, 1341, 5679, 585, 930, 556, 1023, 554, 543, 737, 269, 22614, 480, 373, 16583, 375, 27882, 353, 14035, 482, 418, 509, 354, 419, 506, 489, 25203, 372, 10429, 367, 25335, 484, 30903, 495, 18777, 366, 25335, 352, 13127, 506, 357, 25913, 418, 350, 484, 19540, 483, 27447, 24662, 22287, 499, 13644, 491, 16043, 500, 13644, 491, 14756, 482 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 257, 14722, 723, 1336, 513, 1761, 1007, 1426, 2707, 585, 1272, 593, 21275, 781, 7599, 661, 1338, 19921, 639, 267, 2687, 547, 513, 1007, 1353, 3370, 538, 519, 4760, 834, 16631, 1701, 634, 3173, 15091, 789, 1705, 711, 1265, 2963, 540, 1272, 3294, 269, 1548, 789, 1705, 1265, 729, 7250, 3154, 538, 519, 2520, 903, 518, 6438, 726, 6979, 27513, 1154, 689, 519, 2627, 540, 21275, 781, 7599, 661, 1338, 19921, 639, 269, 2201, 3047, 267, 7250, 689, 13837, 331, 3233, 3905, 20950, 267, 849, 1634, 607, 8652, 31516, 642, 757, 267, 5713, 607, 513, 1426, 6006, 585, 17973, 543, 607, 519, 3490, 540, 606, 14969, 5117, 269, 2060, 519, 1007, 6602, 267, 5176, 1169, 6221, 593, 519, 1592, 540, 7727, 1898, 547, 1272, 814, 1631, 1044, 1336, 593, 661, 1338, 19921, 639, 1701, 630, 24433, 4653, 3377, 10332, 476, 1321, 3764, 3516, 910, 8989, 689, 4760, 3163, 994, 7069, 2707, 585, 602, 729, 606, 834, 29197, 257, 20394, 689, 772, 590, 589, 4653, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 1215, 798, 596, 4194, 543, 3113, 1923, 343, 1341, 476, 273, 347, 18016, 476, 274, 2496, 7462, 476, 272, 8382, 454, 21801, 476, 1321, 267, 476, 1001, 279, 692, 27572, 476, 276, 1422, 548, 1535, 1422, 548, 476, 272, 6911, 2971, 19247, 1384, 347, 343, 1341, 476, 273, 347, 18016, 476, 274, 692, 2791, 723, 547, 4194, 547, 4834, 1384, 259, 343, 1341, 476, 273, 1422, 548, 476, 274, 6911, 259, 343, 1422, 548, 476, 272, 6911, 663, 692, 259, 343, 1341, 476, 273, 1422, 613, 910, 476, 274, 6911, 259, 343, 1422, 613, 910, 476, 276, 6911, 20877, 786, 581, 713, 609, 513, 8880, 1899, 693, 1269, 344, 815, 476, 274, 259, 3388, 2630, 519, 1899, 3330, 519, 834, 341, 257, 568, 519, 3070, 780, 23054, 346, 11274, 3287, 266, 273, 264, 30585, 1321, 269, 4037, 267, 476, 278, 269, 1839, 267, 910, 273, 269, 1321, 267, 476, 278, 269, 6434, 316, 348 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14399, 540, 3075, 3755, 616, 1419, 20495, 543, 26884, 267, 607, 3075, 946, 568, 9244, 17047, 609, 15176, 10385, 543, 3929, 16132, 267, 2810, 519, 7872, 602, 519, 1453, 779, 2168, 543, 3929, 2115, 786, 711, 581, 1558, 676, 741, 3237, 454, 14399, 1451, 19326, 689, 741, 3237, 543, 15637, 1765, 732, 891, 19326, 649, 1616, 873, 547, 900, 3634, 888, 14946, 513, 6101, 7014, 585, 1514, 4600, 7231, 609, 3075, 15134, 11139, 1453, 267, 2147, 547, 519, 835, 6069, 676, 519, 7460, 5948, 540, 4317, 20709, 454, 8450, 519, 13613, 585, 713, 5140, 3561, 799, 23933, 856, 875, 513, 1514, 11832, 1058, 4308, 609, 513, 3075, 15134, 11139, 1126, 269, 898, 2882, 2963, 3766, 1430, 532, 267, 1416, 3877, 267, 543, 4180, 519, 1126, 814, 513, 1697, 2564, 6514, 563, 28444, 675, 519, 1514, 2533, 1062, 814, 2614, 2200, 547, 6023, 891, 2665, 454, 28444, 675, 602, 2312, 5773, 585, 7128, 543, 1857, 3106, 6887, 616, 9788, 856, 454, 6195, 12080, 540, 5753, 543, 19198, 1058, 581, 1572, 8164, 1453, 616, 1336, 538, 3075, 22475, 543, 1332, 268, 3591, 454, 18128, 2064, 540, 1761, 543, 4890, 12178, 547, 1453, 1058, 6394, 543, 6592, 454, 20059, 580, 622, 519, 7872, 540, 7471, 25846, 6573, 968, 330, 1342, 773, 6517, 892, 799, 1131, 1331, 513, 7128, 11464, 543, 1514, 11832, 4481, 8036, 547, 4308, 609, 519, 2152, 1472, 1126, 6057, 543, 824, 6469, 3871, 454, 299, 984, 2421, 519, 6554, 540, 7460, 547, 3142, 538, 513, 10684, 7232, 526, 11139, 5753, 779, 2920, 2073, 1514, 11832, 10873, 267, 543, 2087, 519, 1514, 2533, 1062, 454, 7197, 25772, 630, 10843, 2679, 676, 331, 9155, 264, 723, 2944, 741, 851, 547, 2149, 2104, 31269, 540, 1332, 19945, 543, 8715, 2978, 5321, 267, 855, 621, 779, 909, 547, 519, 19435, 547, 798, 741, 851, 585, 519, 1453, 945, 27057, 21078, 972, 454, 6546, 513, 4484, 581, 2366, 547, 519, 5313, 543, 21621, 6608, 6998, 585, 1732, 4027, 585, 3075, 15134, 11139, 1453, 543, 811, 2200, 585, 4395, 1467, 1514, 4600, 454, 6546, 18999, 2917, 25846, 6573, 267, 538, 14966, 609, 5080, 9445, 267, 2015, 519, 23250, 540, 513, 2048, 330, 1342, 773, 1286, 685, 1765, 6518, 1131, 1331, 513, 7128, 11464, 543, 1514, 11832, 4481, 8036, 547, 4308, 609, 519, 2152, 1472, 1126, 6057 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 272, 269, 12361, 5311, 2496, 296, 991, 930, 948, 609, 5311, 543, 23115, 856, 606, 3830, 585, 2016, 5311, 780, 2690, 1383, 10484, 6343, 568, 513, 3830, 585, 513, 5311, 476, 1015, 267, 277, 267, 1015, 267, 277, 267, 13718, 534, 1278, 835, 568, 910, 272, 270, 275, 16427, 273, 270, 280, 16427, 274, 270, 1626, 25773, 275, 270, 1839, 454, 1721, 713, 835, 594, 2219, 621, 1131, 581, 910, 263, 333, 266, 272, 19422, 333, 266, 273, 8203, 273, 1809, 1775, 3893, 621, 4636, 780, 628, 2273, 835, 568, 513, 272, 815, 476, 1015, 267, 513, 3799, 266, 272, 264, 815, 606, 14370, 534, 266, 272, 1040, 875, 1131, 579, 1265, 513, 273, 267, 513, 274, 267, 513, 275, 267, 513, 276, 689, 519, 2285, 1344, 2496, 12552, 780, 273, 269, 20323, 17397, 676, 695, 1695, 275, 340, 866, 692, 628, 2273, 835, 568, 513, 272, 815, 476, 1015, 267, 513, 3799, 266, 272, 264, 815, 606, 14370, 534, 266, 272, 1040, 875, 1131, 579, 1265, 513, 273, 267, 513, 274, 267, 513, 275, 267, 513, 276, 689, 519, 2285, 1344, 2496, 12552, 563, 7445, 6234, 513, 318, 272, 284, 1015, 6911, 7445, 6234, 513, 318, 273, 30381, 3709, 272, 266, 272, 18098, 2765, 21151, 318, 272, 2410, 320, 318, 272, 266, 272, 18098, 2765, 346, 1015, 2410, 1556, 10592, 7445, 6234, 513, 318, 274, 30381, 3709, 273, 266, 272, 18098, 2765, 21151, 318, 273, 2410, 320, 318, 273, 266, 272, 13157, 10371, 6911, 31756, 780, 290, 289, 692, 274, 269, 20323, 17397, 676, 695, 1695, 275, 340, 866, 692, 534, 1278, 835, 568, 910, 272, 270, 275, 16427, 273, 270, 280, 16427, 274, 270, 1626, 25773, 275, 270, 1839, 454, 1721, 713, 835, 594, 2219, 621, 1131, 581, 910, 263, 333, 266, 272, 19422, 333, 266, 273, 8203, 273, 1809, 1775, 3893, 621, 4636, 563, 26980, 692, 7445, 6234, 28363, 2765, 346, 272, 2410, 275, 4151, 2073, 4399, 6234, 28363, 2765, 346, 273, 2410, 280, 4151, 2073, 4399, 6234, 28363, 2765, 346, 274, 2410, 1626, 4151, 2073, 4399, 6234, 28363, 2765, 346, 275, 2410, 1839, 10592, 763, 32671, 2165, 540, 713, 5311, 568, 4399, 6234, 28363, 2765, 346, 337, 2410, 263, 337, 266, 272, 8203, 273, 4151, 2073, 1141, 678, 284, 272, 267, 273, 267, 274, 27250, 276, 269, 20323, 17397, 676, 695, 1695, 275, 340, 866, 454, 7445, 6234, 513, 5332, 7807, 8218, 26231, 1162, 348, 476, 1015, 1299, 562, 1422, 3667, 346, 1256, 476, 27874, 476, 277, 1299, 562, 1422, 3667, 346, 9642, 7684, 1422, 754, 26231, 1162, 21456, 7445, 6234, 513, 5332, 815, 476, 279, 1341, 476, 273, 1422, 10383, 11196, 272, 22722, 333, 266, 272, 4151 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 20124, 281, 4165, 3415, 2398, 534, 1092, 563, 305, 6506, 327, 9155, 630, 13069, 6545, 1070, 808, 690, 32021, 21840, 267, 12868, 454, 305, 6506, 327, 9155, 630, 10193, 1634, 12725, 607, 939, 6545, 1070, 30158, 9862, 547, 3560, 15915, 630, 27271, 1507, 454, 31642, 885, 540, 26708, 1070, 1683, 513, 1970, 1942, 543, 8465, 7154, 540, 4683, 454, 10520, 1636, 566, 267, 16113, 538, 14913, 5607, 269, 1358, 723, 513, 2267, 2358, 3432, 454, 1993, 827, 476, 1015, 5998, 10774, 337, 267, 1818, 873, 5078, 585, 15143, 540, 1447, 982, 476, 273, 5998, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 3848, 476, 273, 910, 14572, 12307, 910, 476, 273, 268, 275, 14572, 12307, 2060, 25159, 593, 5637, 590, 1938, 910, 6657, 543, 9046, 4149, 6295, 20113, 910, 8525, 476, 11793, 281, 476, 2420, 692, 321, 284, 278, 692, 2971, 4518, 5153, 676, 5153, 692, 259, 279, 24179, 274, 17070, 6661, 321, 268, 280, 8607, 11138, 476, 279, 268, 274, 1532, 284, 321, 268, 280, 8607, 11138, 476, 276, 284, 273, 321, 268, 280, 8607, 11138, 273, 321, 284, 1691, 8607, 11138, 536, 284, 278, 259, 1284, 1101, 946, 519, 2733, 5737, 3959, 593, 519, 2451, 2427, 540, 519, 3830, 547, 14458, 269, 1284, 1287, 1039, 536, 593, 1312, 5011, 269, 8921, 267, 649, 1039, 476, 280, 593, 1312, 5011, 269, 7053, 267, 649, 7941, 676, 476, 273, 547, 1205, 602, 536, 284, 278, 269, 1284, 11690, 476, 278, 538, 585, 536, 543, 6166, 602, 938, 2626, 568, 267, 8197, 267, 2953, 780, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5228, 851, 318, 821, 1104, 616, 5091, 580, 1080, 18425, 920, 2084, 7531, 3698, 814, 318, 520, 318, 548, 770, 318, 821, 5091, 19302, 3799, 2187, 825, 9598, 815, 2715, 328, 281, 1193, 3799, 1040, 12248, 9217, 264, 585, 1775, 538, 1305, 19304, 3799, 4297, 8679, 825, 585, 737, 267, 642, 538, 9598, 29096, 10031, 1038, 952, 642, 2652, 476, 273, 912, 2018, 2132, 6936, 454, 825, 2132, 8771, 7531, 3698, 5173, 7272, 817, 6919, 9272, 318, 5228, 267, 3403, 15461, 2187, 825, 10659, 815, 1496, 328, 585, 1775, 538, 2039, 9272, 318, 5228, 267, 3403, 15461, 22708, 825, 3435, 815, 11713, 825, 585, 524, 538, 10659, 912, 1038, 952, 814, 318, 520, 318, 548, 770, 318, 821, 5091, 19302, 6262, 264, 543, 616, 5091, 580, 1080, 18425, 920, 2084, 6262, 2187, 2018, 3435, 6910, 6262, 994, 825, 2132, 3435, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3435, 815, 5173, 7272, 817, 6919, 263, 32579, 28360, 267, 476, 279, 5379, 24062, 994, 825, 1820, 12759, 4433, 30055, 4297, 476, 1948, 476, 31172, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1607, 3018, 538, 3348, 531, 322, 476, 1556, 267, 594, 4121, 875, 547, 6218, 606, 20800, 602, 568, 513, 6824, 269, 769, 519, 1837, 267, 713, 568, 1634, 607, 968, 8586, 7060, 609, 7787, 23055, 6100, 4595, 782, 8454, 616, 7787, 2338, 267, 621, 568, 2009, 547, 1118, 8454, 883, 23055, 593, 2338, 269, 3371, 568, 606, 1383, 1384, 19350, 616, 930, 824, 1806, 269, 1306, 596, 666, 1294, 267, 519, 6824, 666, 581, 2318, 610, 2942, 1384, 2414, 4194, 513, 27847, 20800, 267, 596, 1689, 519, 3490, 1297, 689, 1373, 513, 1379, 267, 883, 513, 2234, 545, 663, 1369, 513, 9097, 269, 769, 1250, 1362, 594, 4121, 519, 6031, 968, 17810, 1379, 267, 1317, 519, 3597, 568, 2141, 593, 519, 5377, 6100, 901, 568, 513, 5363, 1259, 547, 3314, 602, 519, 14009, 1109, 263, 528, 5377, 1297, 264, 538, 519, 27847, 20800, 3587, 519, 4994, 538, 519, 9097, 780, 1607, 1383, 2630, 9727, 519, 3268, 540, 4657, 513, 1297, 609, 513, 2318, 27847, 20800, 883, 513, 9097, 269, 634, 19362, 630, 9008, 540, 6824, 1070, 666, 581, 5116, 607, 519, 20800, 2901, 593, 1175, 519, 2234, 545, 663, 267, 610, 519, 3003, 9097, 269, 594, 4782, 547, 798, 621, 627, 31295, 1259, 2306, 519, 2338, 4443, 547, 4194, 269, 2991, 713, 568, 2944, 267, 519, 9097, 666, 581, 2417, 11117, 780, 1607, 1383, 2982, 519, 1482, 3268, 267, 609, 513, 2942, 20800, 269, 1703, 616, 1114, 2081, 547, 798, 713, 267, 855, 594, 8359, 519, 835, 594, 899, 1655, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 25663, 28513, 281, 4855, 519, 3845, 1063, 11196, 280, 267, 274, 264, 663, 8987, 272, 16427, 276, 2020, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 17951, 956, 9847, 25663, 28513, 281, 4855, 519, 3845, 1063, 11196, 280, 267, 274, 264, 663, 8987, 272, 16427, 276, 264, 3396, 1109, 8298, 2201, 692, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 256, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 2439, 16387, 281, 27449, 267, 14911, 267, 24045, 7285, 3752, 951, 16497, 12226, 21287, 13658, 769, 3493, 628, 692, 8437, 1934, 547, 1294, 20231, 2042, 593, 27449, 7726, 476, 10441, 4792, 277, 281, 4855, 519, 3845, 1063, 11196, 280, 267, 274, 264, 663, 8987, 272, 16427, 276, 264, 12585, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 264, 1741, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 9359, 609, 519, 2016, 3845, 4542, 1141, 568, 519, 1101, 1448, 543, 568, 519, 2034, 1448, 623, 29888, 538, 2073, 2073, 2073, 21414, 547, 1205, 910, 279, 269, 21414, 547, 1205, 476, 279, 269, 12384, 1142, 1871, 5410, 22217, 1518, 519, 4009, 3597, 630, 16694, 281, 1403, 596, 991, 948, 609, 28976, 519, 4009, 3597, 267, 2638, 856, 713, 24626, 264, 1924, 519, 3845, 4114, 23660, 547, 799, 21448, 547, 476, 1556, 269, 4029, 1924, 519, 3845, 1063, 11196, 280, 267, 274, 264, 543, 11196, 272, 16427, 276, 264, 568, 5111, 476, 1556, 269, 4029, 4559 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 333, 815, 703, 9272, 15405, 1485, 345, 815, 1592, 9852, 777, 17301, 267, 3403, 14061, 20889, 3488, 1412, 4297, 2020, 322, 3300, 815, 476, 272, 454, 15927, 7465, 815, 476, 272, 692, 1721, 1775, 538, 2039, 263, 272, 267, 562, 2187, 825, 952, 1554, 345, 5157, 316, 13843, 1554, 345, 5157, 910, 476, 272, 14158, 1038, 4831, 815, 4831, 1341, 476, 272, 454, 825, 3116, 912, 1038, 4831, 815, 476, 272, 692, 825, 952, 630, 322, 3300, 3436, 7887, 2187, 1038, 7887, 815, 4831, 7531, 2745, 6357, 580, 7465, 994 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 17716, 281, 1215, 547, 1205, 707, 8004, 23136, 547, 21098, 610, 29751, 596, 811, 1419, 269, 3557, 707, 16858, 269, 2142, 9237, 609, 1200, 827, 1018, 596, 1616, 689, 519, 2078, 269, 15681, 1200, 602, 596, 1131, 899, 621, 952, 972, 729, 811, 21098, 532, 543, 554, 19982, 538, 707, 2078, 269, 3097, 271, 269, 21727, 1200, 16858, 543, 1256, 2303, 930, 25262, 566, 269, 1496, 11357, 25074, 316, 8347, 6031, 267, 834, 1775, 6415, 711, 476, 1911, 260, 2386, 563, 272, 269, 1809, 849, 1118, 621, 2312, 602, 596, 2463, 1200, 543, 1871, 1200, 4606, 267, 865, 596, 1810, 1405, 1616, 547, 2604, 1200, 883, 3257, 1945, 602, 2306, 1200, 13943, 896, 1022, 6381, 269, 1496, 11357, 25074, 316, 32695, 547, 1142, 824, 827, 1018, 596, 2503, 689, 707, 2078, 568, 513, 1390, 1259, 547, 1205, 6251, 547, 835, 1776, 543, 547, 1628, 513, 6125, 602, 568, 1759, 593, 19969, 543, 8994, 2463, 563, 273, 269, 5213, 1405, 24983, 1472, 610, 1352, 1522, 711, 25262, 622, 269, 1496, 11357, 25074, 316, 589, 3551, 3948, 1131, 581, 1945, 899, 267, 834, 1775, 1616, 513, 811, 13680, 1101, 21098, 563, 274, 269, 2142, 1808, 267, 711, 3274, 22394, 267, 865, 1352, 11099, 596, 1616, 811, 269, 3371, 781, 875, 547, 2995, 1200, 707, 4606, 2433, 1496, 11357, 25074, 316, 2913, 1200, 917, 596, 1616, 811, 554, 13903, 543, 811, 21098, 532, 563, 12585, 281, 476, 272 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 295, 842, 281, 3509, 1004, 798, 606, 16953, 547, 917, 519, 3023, 540, 741, 1126, 269, 1284, 1480, 666, 1451, 519, 3023, 855, 538, 519, 2831, 267, 621, 782, 4523, 3330, 269, 634, 1646, 540, 5256, 610, 4775, 5673, 593, 519, 13708, 26347, 602, 616, 6992, 1944, 269, 898, 3217, 942, 547, 917, 519, 3023, 540, 519, 28738, 344, 563, 29189, 8990, 568, 519, 1184, 540, 6616, 519, 3023, 540, 519, 28738, 344, 269, 898, 3217, 1747, 1813, 547, 15366, 30846, 269, 634, 13708, 23176, 535, 6748, 609, 1142, 824, 16976, 519, 3023, 540, 519, 1126, 269, 1284, 2097, 547, 917, 827, 519, 3023, 1310, 476, 274, 268, 275, 3275, 630, 514, 3425, 264, 676, 16953, 563, 4131, 721, 1294, 519, 7271, 540, 3023, 8990, 538, 519, 3681, 563, 285, 26840, 589, 269, 26006, 23331, 281, 769, 9932, 32048, 267, 519, 9038, 616, 688, 680, 6950, 1247, 519, 8951, 616, 9733, 1355, 269, 631, 2297, 1020, 689, 519, 4652, 23459, 1242, 5798, 676, 851, 1156, 14003, 1572, 2855, 1156, 582, 758, 344, 269, 12339, 2297, 1020, 689, 6992, 1242, 5798, 865, 616, 9733, 1355, 269, 10348, 10987, 1491, 14203, 689, 519, 20473, 1282, 8356, 696, 658, 8184, 543, 4558, 538, 741, 5738, 2873, 563, 285, 26840, 645, 269, 12551, 281, 674, 8460, 723, 513, 1395, 8328, 1062, 540, 3023, 8990, 269, 634, 2188, 593, 519, 1313, 23865, 15954, 6430, 593, 519, 3023, 540, 519, 1007, 28738, 344, 563, 285, 26840, 595, 269, 16819, 281, 634, 5017, 723, 3023, 8990, 910, 2098, 313, 19053, 310, 602, 568, 2098, 313, 568, 5256, 799, 568, 4630, 690, 600, 2045, 6466, 2098, 310, 568, 4775, 799, 568, 10636, 690, 600, 2045, 269, 1924, 519, 4775, 13708, 26347, 6430, 519, 3023, 540, 519, 15556, 269, 634, 2698, 1297, 540, 15954, 3788, 519, 1482, 538, 1312, 5256, 543, 8951, 563, 285, 26840, 667, 269, 5274, 1373, 281, 769, 3425, 267, 519, 4775, 568, 4630, 690, 600, 2045, 602, 1797, 621, 814, 30619, 851, 540, 513, 15694, 6466, 519, 5256, 568, 10636, 690, 600, 2045, 2348, 2473, 312, 269, 1924, 519, 3023, 540, 519, 15556, 5673, 593, 519, 10636, 8328, 640, 540, 519, 5256, 563, 17798, 267, 634, 2953, 2626, 568, 4781, 630, 290, 1916, 9616, 281, 11557, 8990, 538, 3127, 568, 17049, 269, 1879, 1004, 3357, 547, 917, 827, 519, 3023, 540, 519, 1126, 267, 789, 2356, 705, 9285, 519, 8004, 1126, 607, 789, 1589, 621, 547, 581, 513, 11411, 269, 634, 16953, 568, 519, 1184, 799, 2337, 547, 917, 519, 3023, 540, 519, 1126, 538, 519, 476, 275, 268, 276, 3923, 269, 634, 21565, 10953, 26470, 538, 519, 476, 273, 526, 3923, 540, 32460, 269, 634, 17873, 540, 519, 21565, 1376, 547, 1020, 676, 519, 1439, 540, 519, 476, 273, 526, 3923, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 32056, 29719, 609, 1913, 2439, 1432, 4523, 547, 519, 12045, 540, 5609, 1535, 543, 5430, 1535, 952, 1535, 568, 6027, 538, 5232, 3079, 540, 32494, 286, 1677, 1265, 856, 267, 1491, 519, 1739, 3268, 780, 320, 264, 2060, 707, 1178, 17731, 538, 4110, 7154, 267, 3113, 454, 325, 22607, 6661, 306, 514, 554, 10774, 454, 663, 7447, 1929, 554, 19065, 361, 285, 271, 535, 22607, 1040, 14424, 707, 7447, 609, 14039, 270, 5197, 269, 1772, 972, 1022, 2601, 547, 3494, 519, 3970, 1058, 581, 14039, 270, 5197, 2496, 321, 264, 2060, 707, 1178, 17731, 538, 4110, 7154, 267, 7447, 454, 3916, 554, 19065, 361, 285, 271, 5430, 554, 268, 272, 10774, 692, 322, 264, 3767, 979, 1394, 547, 519, 8174, 566, 540, 519, 4542, 585, 519, 12045, 540, 5609, 1535, 538, 519, 1257, 543, 4163, 856, 519, 3268, 540, 519, 8174, 566, 1210, 4110, 2173, 1712, 7182, 269, 1548, 4542, 798, 596, 3489, 585, 519, 12045, 2496, 323, 264, 14216, 633, 519, 4542, 585, 519, 12045, 540, 5430, 1535, 1210, 4110, 7154, 7182, 780, 324, 264, 634, 11393, 540, 519, 4110, 7154, 12596, 1831, 7805, 607, 596, 1376, 2921, 16755, 540, 2362, 1931, 269, 1548, 616, 519, 2034, 543, 3791, 4110, 7154, 16755, 540, 5609, 1535, 543, 5430, 1535, 888, 296, 1178, 335, 1117, 621, 267, 855, 602, 781, 782, 594, 917, 875, 547, 798, 269, 6435, 5225, 256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 294, 20071, 5295, 538, 519, 15858, 454, 288, 3883, 6168, 21989, 267, 4256, 674, 8986, 267, 543, 4256, 8892, 454, 5804, 519, 10022, 21756, 5295, 454, 294, 20071, 5295, 538, 519, 15858, 6212, 593, 519, 6015, 6690, 991, 547, 8011, 538, 1153, 269, 901, 1524, 3562, 268, 24160, 1433, 7710, 519, 1082, 4128, 602, 1832, 6690, 689, 6340, 909, 538, 1362, 267, 6998, 2055, 267, 543, 2921, 2407, 5413, 540, 519, 3255, 789, 2461, 2016, 538, 1153, 269, 898, 849, 9607, 9263, 2604, 543, 1683, 6266, 540, 5796, 547, 948, 6690, 1118, 519, 1034, 540, 1153, 267, 1312, 27268, 543, 13998, 563, 347, 22706, 476, 277, 910, 6103, 476, 280, 454, 30054, 518, 1676, 14539, 6828, 454, 30054, 518, 1676, 23549, 21508, 351, 454, 268, 12425, 3427, 20157, 12579, 5948, 8479, 16989, 5440, 10783, 344 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7021, 476, 29637, 267, 1822, 3043, 17514, 786, 581, 5116, 593, 519, 2817, 26864, 12406, 538, 6115, 267, 9823, 547, 8956, 1977, 2729, 4503, 547, 5046, 268, 866, 563, 763, 8858, 267, 3957, 968, 1103, 3013, 281, 5457, 5608, 568, 513, 29355, 10380, 1141, 8436, 616, 9415, 547, 30164, 513, 3043, 9206, 538, 1121, 27320, 540, 2576, 789, 4503, 1282, 519, 6855, 269, 19893, 666, 849, 30164, 513, 9206, 12303, 543, 581, 12286, 593, 519, 8858, 779, 3896, 269, 634, 5691, 6712, 540, 519, 10380, 568, 2907, 5665, 2228, 269, 3245, 5181, 476, 1704, 628, 998, 5239, 476, 274, 6113, 267, 519, 1857, 10380, 666, 581, 1336, 2282, 519, 6115, 31790, 563, 2710, 596, 3972, 519, 1292, 6908, 2923, 888, 257, 265, 257, 6920, 2838, 4610, 454, 27746, 1633, 7376, 2672, 3960, 2033, 30554, 22828, 645, 1066, 22974, 3689, 28086, 2813, 1200, 1101, 4528, 540, 519, 10380, 538, 5239, 540, 476, 1708, 271, 269, 2060, 519, 948, 540, 519, 1857, 267, 1352, 12630, 936, 476, 7742, 267, 1822, 17514, 538, 16674, 298, 853, 18123, 269, 901, 4947, 2887, 267, 1352, 786, 2030, 519, 476, 29637, 267, 1822, 17514, 543, 1711, 476, 274, 269, 279, 5195, 540, 10092, 1369, 519, 2361, 269, 4340, 547, 513, 2046, 5305, 267, 713, 786, 581, 519, 4102, 29355, 1148, 10380, 593, 519, 2817, 26864, 2094, 519, 15978, 2372, 2830, 563, 1103, 476, 2735, 278, 267, 519, 844, 2830, 729, 8704, 585, 519, 1101, 942, 609, 5176, 476, 273, 267, 1822, 10531, 8440, 16033, 908, 2729, 4503, 547, 519, 15435, 269, 769, 513, 3948, 267, 3689, 28086, 1767, 267, 968, 2690, 835, 538, 1614, 1977, 3885, 267, 972, 568, 1100, 3339, 269, 901, 8858, 26549, 782, 945, 723, 5747, 267, 855, 621, 568, 811, 982, 606, 957, 540, 1121, 27320, 269, 769, 3013, 281, 5457, 267, 786, 1683, 606, 8978, 3308, 22348, 721, 585, 1296, 547, 2097, 602, 1373, 606, 1977, 1797, 12391, 585, 782, 4892, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12812, 547, 13378, 692, 5197, 271, 268, 9083, 274, 268, 3422, 692, 266, 11011, 268, 6344, 268, 5379, 272, 20981, 271, 692, 290, 11286, 476, 271, 692, 1892, 476, 271, 692, 300, 312, 595, 11286, 630, 276, 2020, 8196, 595, 19281, 517, 281, 595, 11286, 736, 543, 1205, 476, 736, 260, 1055, 593, 782, 2228, 5530, 7698, 692, 3951, 4932, 454, 291, 4953, 288, 6579, 306, 454, 300, 14641, 454, 291, 3041, 4596, 7419, 307, 454, 293, 2562, 3201, 11553, 21201, 454, 13707, 12313, 281, 12652, 780, 2467, 616, 1100, 3688, 538, 713, 7047, 563, 25594, 19255, 4771, 454, 319, 1038, 17817, 540, 5409, 19096, 609, 29297, 4925, 616, 2016, 607, 476, 274, 343, 268, 275, 344, 266, 278, 284, 271, 543, 476, 275, 343, 266, 274, 344, 266, 272, 284, 271, 286, 319, 454, 821, 1032, 3516, 692, 6635, 684, 454, 22001, 4649, 18745, 454, 3499, 20930, 15235, 1109, 17798, 267, 519, 4745, 3830, 540, 519, 29297, 4925, 568, 630, 274, 343, 1107, 476, 275, 344, 1341, 476, 278, 7565, 275, 343, 1341, 476, 274, 344, 1341, 476, 272, 264, 815, 476, 271, 269, 3086, 267, 649, 917, 602, 519, 3830, 540, 14328, 5409, 19096, 15320, 689, 602, 540, 519, 4745, 3830, 540, 29297, 4925, 676, 513, 3586, 1152, 267, 8754, 649, 1590, 723, 519, 3830, 540, 519, 5409, 19096, 607, 263, 274, 343, 1107, 476, 275, 344, 1341, 476, 278, 7565, 275, 343, 1341, 476, 274, 344, 1341, 476, 272, 264, 1341, 678, 815, 476, 271, 20193, 568, 2016, 602, 519, 5409, 19096, 10596, 998, 519, 5169, 543, 8754, 267, 8380, 1535, 815, 586, 815, 476, 271, 2073, 649, 3489, 267, 278, 266, 678, 815, 476, 271, 1109, 17798, 267, 678, 815, 910, 278, 13034, 775, 267, 519, 3830, 540, 519, 5409, 19096, 568, 1109, 263, 274, 343, 1107, 476, 275, 344, 1341, 476, 278, 7565, 275, 343, 1341, 476, 274, 344, 1341, 476, 272, 264, 1107, 476, 278, 284, 476, 271, 20136, 3947, 476, 1321, 343, 273, 1109, 266, 476, 280, 15383, 1341, 476, 274, 343, 910, 1626, 15383, 1107, 476, 1321, 344, 273, 1109, 1700, 476, 275, 344, 1341, 476, 2764, 343, 1341, 476, 2641, 344, 1341, 476, 278, 268, 476, 278, 815, 476, 271, 2529, 334, 267, 1109, 1321, 343, 273, 1109, 1700, 476, 1321, 344, 273, 1109, 268, 476, 278, 15383, 1341, 476, 4029, 343, 1341, 476, 1704, 344, 815, 476, 271, 454, 8199, 821, 1032, 3516, 454, 13914, 1411, 2052, 3629, 589, 14568, 8382, 26042, 1012, 4033, 13565, 5999, 593, 594, 3951, 808, 7417, 9980, 8896, 11929, 692, 8698, 782, 5999, 9732, 692, 2162, 6092, 17972, 692, 1892, 476, 278, 4029, 11473, 700, 624, 999, 454, 1892, 31280, 11872, 454, 1892, 19881, 5729, 14430, 454, 1892, 9650, 10934, 454, 1892, 5530, 4643, 1676, 454, 1892, 19436, 10298, 454, 1892, 17564, 17072, 454, 1892, 4530, 1957, 609, 11473, 8827, 692, 2162, 6092, 17972, 692, 1892, 476, 278, 4029, 11473, 700, 624, 999, 454, 1892, 31280, 11872, 454, 1892, 4530, 1957, 609, 11473, 8827, 454, 1892, 9650, 10934, 454, 1892, 5530, 4643, 1676, 454, 1892, 19436, 10298, 454, 1892, 17564, 17072, 454, 1892, 19881, 5729, 11929, 5999 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 8535, 6807, 267, 5030, 1079, 1655, 2828, 910, 18581, 519, 2142, 11232, 543, 27385, 519, 8293, 597, 7758, 269, 1358, 1312, 6068, 2575, 543, 26927, 3139, 540, 2870, 741, 1378, 17581, 835, 1554, 269, 2290, 13566, 6640, 267, 789, 4956, 547, 1376, 2324, 593, 741, 17581, 1318, 2476, 2439, 257, 289, 10154, 2437, 4280, 27385, 31113, 267, 834, 6011, 1279, 798, 596, 1589, 621, 786, 1491, 721, 547, 1118, 938, 17581, 12482, 289, 10154, 14452, 267, 834, 11039, 267, 1250, 3659, 267, 1818, 606, 17581, 3322, 1082, 3268, 899, 1603, 8964, 267, 8026, 7405, 267, 10916, 13475, 267, 11544, 4992, 267, 543, 13215, 519, 3803, 1587, 3010, 2026, 789, 24389, 593, 741, 7574, 3460, 267, 789, 4121, 875, 3280, 12599, 998, 2011, 30335, 267, 8757, 938, 10772, 543, 13321, 883, 5283, 617, 1190, 26107, 269, 1358, 4362, 602, 950, 1114, 4992, 2097, 1927, 267, 789, 1106, 11745, 625, 267, 1175, 899, 1585, 4778, 11100, 547, 1711, 4190, 4764, 28647, 269, 2060, 1142, 8429, 1554, 267, 741, 11505, 8057, 6793, 2059, 609, 741, 1620, 540, 2257, 3297, 2575, 780, 291, 904, 5828, 883, 4374, 267, 1287, 3275, 267, 2943, 741, 17581, 7012, 1405, 4712, 269, 674, 745, 1598, 730, 267, 27385, 9289, 16965, 267, 834, 3963, 3884, 1405, 938, 17581, 8737, 2943, 286, 898, 7959, 899, 649, 4312, 1044, 3257, 713, 11014, 10590, 1677, 799, 18581, 15527, 20617, 267, 834, 15031, 1466, 267, 15210, 3659, 267, 1434, 1919, 1491, 942, 3010, 7661, 267, 1310, 3592, 513, 1032, 267, 741, 17581, 729, 2347, 256, 19196, 1243, 569, 267, 789, 4843, 621, 547, 3025, 538, 8535, 6807, 269, 1809, 547, 741, 9983, 267, 1100, 835, 1223, 5873, 1022, 2575, 256, 3131, 14658, 539, 267, 789, 7691, 602, 1247, 2519, 865, 1454, 593, 2870, 519, 3501, 3280, 3330, 741, 18638, 267, 789, 29709, 547, 6460, 741, 19827, 883, 513, 3898, 602, 1866, 1223, 6432, 547, 269, 4256, 12271, 521, 1678, 267, 16734, 741, 12161, 780, 4913, 267, 3079, 540, 3478, 771, 24711, 2989, 267, 789, 1031, 713, 1995, 607, 513, 1565, 4316, 269, 6884, 267, 1256, 1498, 649, 960, 2731, 2182, 2509, 1945, 267, 1919, 1522, 711, 979, 2687, 547, 1544, 1813, 547, 27644, 6381, 269, 1656, 602, 781, 15502, 269, 1548, 6927, 1034, 568, 1018, 649, 1451, 689, 891, 2833, 543, 875, 649, 4019, 1346, 4245, 3001, 4464, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1279, 1705, 621, 1491, 547, 3132, 519, 17581, 689, 1376, 547, 9096, 888, 296, 798, 711, 723, 1344, 593, 519, 1808, 17581, 596, 616, 13288, 547, 269, 666, 596, 5225, 1683, 803, 609, 519, 17581, 2012, 610, 7376, 585, 803, 547, 1683, 596, 609, 4977, 1344, 9495, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 674, 7491, 531, 281, 634, 8695, 2196, 267, 31743, 519, 3440, 543, 8165, 547, 1205, 621, 2476, 689, 1142, 824, 269, 2290, 7911, 737, 6506, 883, 519, 15852, 2319, 781, 3804, 269, 898, 568, 556, 2452, 539, 538, 3500, 5163, 269, 634, 8695, 454, 271, 269, 3136, 4730, 585, 519, 14230, 540, 519, 3014, 563, 272, 269, 14526, 1586, 693, 519, 4544, 14776, 267, 2921, 7140, 3257, 12235, 1310, 12235, 1310, 12235, 563, 273, 269, 1404, 6186, 32702, 585, 519, 8254, 563, 274, 269, 2132, 547, 519, 3804, 543, 4339, 547, 1205, 547, 835, 1776, 563, 12585, 281, 476, 271 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1103, 6529, 13841, 267, 5911, 3432, 1131, 581, 3049, 3432, 610, 875, 3728, 602, 11425, 17236, 563, 31282, 909, 519, 993, 1186, 593, 513, 6529, 7143, 1457, 543, 519, 11425, 786, 6633, 5488, 543, 596, 786, 723, 547, 3049, 621, 5488, 563, 1805, 1157, 13841, 568, 3586, 1699, 563, 1103, 6529, 13841, 519, 6453, 2242, 950, 596, 12740, 519, 11425, 2476, 689, 519, 30077, 548, 610, 6251, 547, 519, 30077, 548, 269, 634, 1699, 13978, 519, 1482, 563, 12024, 538, 4955, 952, 519, 6453, 568, 1932, 1164, 519, 11425, 610, 5911, 786, 581, 1932, 2484, 2476, 689, 519, 30077, 548, 543, 6266, 540, 838, 2660, 543, 2370, 21774, 563, 292, 2416, 1259, 952, 596, 1616, 547, 946, 513, 5488, 5911, 3432, 610, 6633, 11425, 5488, 596, 991, 811, 1699, 815, 811, 3002, 563, 4415, 25182, 8407, 596, 991, 547, 946, 1447, 3002, 547, 2061, 6633, 998, 563, 22102, 518, 5911, 610, 22203, 267, 1447, 993, 1186, 267, 14887, 5911, 3432, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2005, 7710, 519, 1686, 540, 12670, 779, 590, 842, 328, 543, 681, 5448, 2094, 519, 1284, 31483, 6243, 267, 1312, 538, 513, 3864, 2796, 543, 998, 2123, 22808, 269, 589, 3844, 1445, 568, 519, 590, 842, 328, 543, 681, 5448, 3540, 2924, 3350, 281, 585, 6284, 540, 519, 14195, 267, 1996, 1884, 714, 10247, 1143, 267, 543, 585, 513, 1582, 17272, 1211, 2343, 1275, 607, 4961, 609, 3160, 2924, 269, 15332, 513, 3140, 5133, 267, 519, 14266, 2934, 12964, 4207, 23609, 689, 519, 968, 305, 5448, 305, 2358, 892, 8666, 3126, 676, 932, 611, 27213, 19785, 3430, 267, 607, 1134, 607, 519, 717, 3234, 1889, 15356, 1700, 7773, 940, 7931, 19425, 633, 563, 32701, 267, 15000, 543, 741, 18939, 1185, 547, 4339, 585, 5756, 585, 6284, 540, 519, 14195, 1996, 519, 12102, 269, 898, 729, 711, 2394, 476, 1001, 273, 602, 519, 3540, 2924, 3350, 6913, 606, 1271, 1900, 2509, 1857, 15287, 609, 519, 22305, 4851, 540, 519, 3844, 18189, 538, 12670, 547, 519, 590, 842, 328, 543, 681, 5448, 540, 2342, 23689, 896, 2817, 4317, 1143, 269, 1809, 7293, 543, 6848, 28639, 543, 1884, 714, 10247, 1143, 1869, 6414, 269, 1234, 915, 532, 713, 5571, 4948, 7130, 267, 519, 7046, 6611, 14266, 7569, 6284, 540, 590, 842, 328, 543, 681, 5448, 607, 968, 290, 527, 714, 839, 609, 26321, 7126, 892, 1107, 607, 513, 2339, 540, 1576, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2290, 13566, 1554, 267, 589, 2466, 543, 1010, 11078, 30410, 5984, 941, 4730, 3544, 950, 789, 1336, 513, 12357, 1843, 269, 898, 729, 513, 1507, 4216, 609, 16181, 543, 513, 5496, 269, 4762, 4310, 267, 789, 20399, 513, 7735, 543, 513, 5048, 7902, 281, 834, 9558, 17218, 519, 1739, 19446, 4845, 883, 2296, 1701, 1358, 1224, 519, 4845, 5402, 910, 834, 2633, 487, 23371, 11695, 499, 21005, 18892, 11695, 352, 23547, 7162, 361, 2633, 351, 2633, 376, 16284, 2633, 363, 11111, 32172, 5936, 486, 7162, 498, 18892, 7162, 362, 2633, 356, 11695, 363, 7162, 511, 14098, 364, 23371, 21005, 2633, 363, 7162, 498, 18892, 7162, 364, 14098, 506, 28637, 11695, 354, 14098, 357, 21005, 7162, 370, 5936, 486, 2633, 366, 18028, 363, 26498, 23517, 21999, 11111, 29334, 11695, 362, 18892, 2633, 352, 7162, 355, 18028, 366, 14098, 353, 11111, 32172, 5936, 486, 476, 5936, 353, 5016, 288, 2466, 6836, 547, 14377, 621, 543, 1767, 267, 834, 763, 2754, 814, 6738, 543, 19595, 721, 540, 3844, 4095, 543, 14076, 553, 628, 8643, 6163, 1701, 1809, 1945, 4769, 1405, 1745, 1318, 269, 1358, 5828, 547, 741, 8773, 3659, 267, 3353, 334, 267, 945, 6045, 602, 16627, 1590, 1832, 519, 3312, 2495, 16856, 269, 1924, 267, 789, 13761, 519, 4214, 540, 1142, 2262, 1586, 543, 7691, 741, 12161, 269, 8625, 267, 789, 3357, 909, 609, 513, 1007, 8144, 267, 834, 3682, 28698, 814, 2799, 543, 8711, 519, 5664, 4095, 543, 14076, 553, 22474, 1014, 11265, 2511, 3010, 30342, 10583, 540, 741, 9740, 267, 789, 20399, 1776, 7735, 593, 519, 4216, 547, 2638, 952, 741, 8144, 729, 4977, 269, 22582, 267, 519, 3684, 3323, 18388, 532, 10978, 569, 256, 590, 1706, 802, 24363, 856, 267, 543, 1354, 789, 6785, 621, 267, 519, 4216, 20374, 269, 589, 25922, 589, 2466, 4280, 3353, 334, 1018, 4682, 4636, 269, 2060, 513, 8797, 12837, 267, 3353, 334, 14452, 267, 834, 15919, 267, 1256, 609, 938, 1655, 3646, 267, 1919, 1810, 1405, 979, 607, 9709, 269, 3807, 899, 875, 649, 7948, 1405, 9985, 14377, 519, 4845, 4505, 267, 3006, 6901, 3111, 538, 2257, 1932, 269, 2334, 781, 15502, 282, 1565, 4523, 998, 891, 14286, 269, 1284, 666, 2141, 2119, 1586, 15323, 15987, 7138, 1194, 676, 519, 6727, 14897, 766, 540, 519, 9490, 4216, 267, 589, 2466, 543, 30410, 5984, 4121, 3407, 4245, 602, 1554, 1107, 519, 2956, 540, 1620, 2796, 1247, 24758, 4654, 543, 16177, 538, 519, 3068, 540, 5821, 269, 1656, 865, 267, 741, 8049, 8186, 4797, 3695, 519, 1158, 1472, 873, 267, 7432, 1169, 7045, 883, 513, 1187, 3621, 3408, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 24685, 713, 4305, 267, 596, 616, 2016, 513, 4845, 538, 519, 19446, 1893, 543, 513, 7222, 2296, 8144, 540, 519, 19446, 4845, 269, 2659, 4305, 568, 547, 5352, 513, 6003, 834, 8133, 257, 952, 519, 8144, 568, 2953, 267, 6382, 5352, 6003, 834, 5591, 2668, 769, 519, 8144, 267, 2296, 4845, 1058, 8190, 519, 1297, 607, 621, 568, 543, 621, 1058, 581, 538, 4845, 2013, 630, 5115, 1388, 1125, 1152, 519, 1101, 2262, 540, 1142, 4845, 543, 10902, 6393, 295, 785, 328, 281, 7162, 487, 23371, 11695, 499, 21005, 18892, 11695, 352, 23547, 7162, 361, 2633, 351, 2633, 376, 16284, 2633, 363, 11111, 32172, 5936, 486, 7162, 498, 18892, 7162, 362, 2633, 356, 11695, 363, 7162, 511, 14098, 364, 23371, 21005, 2633, 363, 7162, 498, 18892, 7162, 364, 14098, 506, 28637, 11695, 354, 14098, 357, 21005, 7162, 370, 5936, 486, 2633, 366, 18028, 363, 26498, 23517, 21999, 11111, 29334, 11695, 362, 18892, 2633, 352, 7162, 355, 18028, 366, 14098, 353, 11111, 32172, 5936, 486, 476, 5936, 353, 3097, 2296, 281, 2311, 519, 1482, 942, 519, 7577, 1031, 922, 2797, 1379, 547, 10536, 30049, 2065, 1852, 936, 4095, 4123, 543, 2504, 4586, 763, 6003, 568, 834, 5591, 2668, 594, 1031, 519, 4214, 540, 519, 4305, 799, 3340, 519, 2296, 8144, 547, 7157, 4612, 519, 2495, 540, 519, 19446, 4845, 269, 634, 2016, 2296, 4845, 1281, 711, 6655, 519, 1482, 2495, 607, 519, 19446, 4845, 267, 23380, 908, 519, 8144, 269, 634, 19446, 4845, 12909, 827, 19551, 1647, 4095, 543, 14076, 553, 628, 8643, 6163, 6466, 519, 2296, 8144, 12909, 827, 513, 635, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9824, 580, 542, 3947, 2495, 547, 1272, 543, 11414, 1004, 875, 547, 1521, 1866, 267, 607, 1134, 607, 2933, 269, 898, 2488, 513, 2631, 540, 10362, 543, 513, 3483, 585, 2713, 267, 3091, 5583, 543, 5837, 10752, 267, 543, 7512, 5171, 547, 960, 585, 2318, 1514, 1689, 563, 9824, 580, 542, 849, 2488, 513, 1259, 547, 4308, 609, 2669, 267, 543, 1018, 2501, 1985, 269, 4107, 9671, 687, 3494, 538, 513, 16750, 8116, 602, 2813, 519, 17807, 543, 10274, 1480, 2729, 269, 16241, 2853, 1331, 32467, 267, 11504, 10847, 2533, 267, 2542, 13411, 5931, 267, 1199, 23550, 543, 14120, 14812, 2429, 519, 1032, 269, 2368, 10764, 1450, 741, 13794, 547, 1397, 20174, 998, 2168, 6411, 540, 10847, 267, 971, 607, 8654, 22250, 543, 18413, 5810, 593, 513, 695, 9068, 610, 26749, 563, 9824, 16406, 4978, 543, 12738, 666, 581, 7184, 7920, 267, 5473, 24986, 267, 3458, 5446, 610, 1256, 10024, 513, 959, 766, 3697, 1533, 269, 2368, 540, 891, 2833, 949, 581, 13710, 267, 1247, 585, 1082, 1004, 789, 3274, 1745, 6209, 543, 3001, 563, 2690, 930, 5640, 267, 519, 2856, 602, 4984, 4408, 513, 1514, 4641, 2864, 982, 606, 9703, 1533, 814, 32131, 12316, 269, 1809, 267, 585, 519, 1034, 851, 267, 713, 1935, 814, 7283, 538, 519, 7706, 540, 3069, 269, 4107, 8942, 547, 5659, 519, 1523, 540, 4984, 2887, 883, 835, 540, 1079, 6688, 912, 6624, 616, 968, 3000, 582, 4854, 892, 538, 602, 789, 7500, 609, 519, 8106, 2070, 602, 1169, 3236, 540, 513, 3364, 786, 723, 513, 10747, 3959, 602, 8308, 6257, 621, 269, 1809, 519, 2063, 1896, 5756, 723, 2938, 606, 11944, 540, 968, 335, 8432, 1492, 6776, 892, 4485, 267, 799, 7947, 713, 8106, 2203, 543, 1521, 782, 8320, 540, 513, 3364, 607, 2348, 513, 18634, 2497, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 272, 269, 12361, 28171, 692, 3682, 557, 602, 4399, 6234, 630, 272, 266, 273, 266, 273, 317, 273, 266, 273, 317, 274, 266, 1862, 266, 273, 317, 1220, 264, 1422, 341, 25854, 476, 278, 6911, 16694, 2433, 11004, 568, 1341, 1862, 266, 273, 317, 1220, 2073, 2889, 12378, 609, 3735, 343, 692, 273, 269, 28982, 267, 581, 336, 256, 343, 476, 2439, 1432, 1281, 519, 1422, 341, 25854, 1611, 286, 1547, 1547, 1547, 834, 529, 16883, 676, 257, 15017, 2252, 865, 267, 594, 723, 513, 6169, 1547, 1547, 16317, 3682, 557, 602, 281, 1547, 7445, 6234, 476, 272, 266, 273, 266, 273, 317, 273, 266, 273, 317, 274, 266, 1422, 24863, 1824, 1341, 273, 3867, 1220, 4151, 1547, 529, 16883, 676, 476, 278, 780, 7445, 6234, 715, 31046, 7807, 282, 263, 272, 1341, 476, 273, 1341, 476, 273, 317, 273, 264, 1341, 630, 273, 317, 274, 266, 273, 317, 275, 266, 273, 317, 276, 264, 1341, 630, 273, 317, 277, 266, 273, 317, 278, 266, 273, 317, 279, 264, 1341, 1422, 26984, 1341, 630, 273, 3867, 2735, 348, 1341, 476, 273, 3867, 1960, 348, 1341, 476, 273, 3867, 1220, 16585, 6911, 269, 1547, 4399, 6234, 815, 20939, 263, 272, 266, 273, 266, 275, 264, 1341, 476, 273, 317, 274, 263, 272, 266, 273, 266, 275, 264, 1341, 476, 273, 317, 277, 263, 272, 266, 273, 266, 275, 264, 1341, 1422, 26984, 1341, 476, 273, 3867, 2735, 12917, 272, 266, 273, 266, 275, 22491, 269, 1547, 4399, 6234, 815, 20939, 1422, 8974, 3630, 576, 346, 278, 13375, 263, 272, 1341, 476, 273, 317, 274, 1341, 476, 273, 317, 277, 1341, 476, 273, 317, 280, 1341, 1422, 26984, 1341, 476, 273, 3867, 2735, 4153, 2431, 14587, 18155, 3667, 21151, 2789, 540, 476, 278, 32556, 11997, 267, 4399, 6234, 715, 259, 568, 16883, 676, 476, 278, 780, 274, 269, 634, 3009, 585, 4399, 6234, 476, 273, 3867, 1220, 4151, 568, 476, 273, 3867, 1220, 348, 543, 519, 568, 16883, 3090, 4399, 6234, 1422, 13232, 259, 568, 1315, 13232, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 26765, 754, 814, 621, 602, 1079, 10971, 2899, 2841, 539, 585, 519, 19121, 720, 540, 606, 9147, 19967, 2749, 267, 543, 519, 1004, 4956, 547, 3442, 1759, 593, 1018, 13344, 519, 10971, 1131, 2709, 873, 269, 634, 4262, 5601, 267, 623, 846, 573, 517, 267, 6035, 873, 519, 10516, 540, 1216, 267, 1898, 585, 1272, 269, 634, 15831, 23723, 320, 6035, 873, 519, 10516, 540, 513, 2582, 14462, 3529, 269, 634, 1004, 8359, 713, 2034, 10516, 267, 543, 547, 713, 1554, 519, 2749, 814, 4535, 519, 2012, 540, 18603, 563, 1607, 1650, 2982, 519, 1871, 602, 9147, 17417, 5116, 593, 519, 14462, 3529, 543, 922, 4829, 267, 835, 540, 519, 9510, 540, 3864, 7031, 269, 4706, 10626, 267, 543, 17545, 267, 814, 9863, 971, 602, 711, 1152, 1281, 621, 2611, 513, 20013, 540, 782, 1199, 10882, 11326, 267, 855, 519, 2030, 3294, 4564, 13884, 543, 922, 32563, 281, 4708, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 26611, 23591, 24800, 270, 7090, 692, 18411, 453, 3080, 666, 2132, 2789, 2418, 538, 5124, 563, 18257, 692, 258, 13038, 17776, 18880, 538, 5124, 2336, 3698, 30775, 10031, 16596, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 692, 821, 267, 1079, 267, 1614, 267, 2185, 267, 2947, 815, 30775, 4590, 2745, 263, 821, 267, 1079, 267, 1614, 267, 2185, 267, 2947, 2020 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 634, 5769, 814, 7494, 4957, 519, 1259, 1004, 5968, 269, 1809, 930, 3610, 1589, 519, 2242, 616, 711, 782, 585, 519, 1732, 269, 661, 32642, 9652, 267, 606, 2296, 7548, 267, 14659, 602, 1257, 20261, 814, 1500, 1053, 3494, 602, 621, 568, 2484, 811, 11807, 982, 621, 2965, 568, 547, 1175, 1118, 15265, 10259, 543, 21342, 6959, 269, 1656, 1352, 3081, 1200, 1053, 936, 519, 2250, 1896, 1296, 723, 5051, 1031, 1447, 6101, 2296, 538, 741, 1603, 269, 9293, 543, 2453, 899, 834, 7666, 344, 257, 543, 834, 9767, 917, 257, 1631, 2408, 538, 1382, 4574, 269, 7905, 9652, 1139, 4680, 972, 568, 513, 2178, 2078, 1063, 519, 4473, 540, 13016, 2228, 2792, 543, 606, 2333, 538, 1603, 9073, 269, 1809, 1352, 3081, 972, 949, 711, 581, 1454, 3621, 1344, 267, 693, 2547, 711, 2943, 269, 6424, 32423, 267, 513, 3703, 8059, 626, 2073, 3081, 519, 8362, 4657, 2470, 540, 519, 5769, 2306, 621, 2352, 547, 1832, 909, 3562, 15082, 538, 4974, 922, 2360, 269, 1809, 646, 11099, 922, 3310, 593, 1893, 568, 1507, 269, 634, 1292, 1198, 540, 519, 5769, 593, 1893, 568, 519, 1259, 621, 814, 3773, 547, 519, 22192, 17381, 540, 1893, 267, 3246, 1893, 609, 513, 1007, 1305, 540, 32705, 2645, 602, 10093, 1405, 11478, 538, 519, 2250, 269, 8210, 514, 808, 753, 523, 568, 13653, 540, 4880, 299, 22857, 2593, 267, 606, 2228, 8675, 540, 519, 5769, 543, 1257, 20261, 2474, 269, 2701, 3081, 519, 1007, 2029, 814, 711, 4957, 4540, 1893, 855, 814, 7494, 3773, 547, 922, 6863, 269, 26023, 621, 781, 5191, 540, 4082, 269, 1656, 1018, 827, 1346, 3610, 945, 1265, 891, 1007, 5686, 540, 9073, 538, 10259, 543, 8239, 538, 741, 1053, 262, 960, 286, 1548, 568, 1200, 5048, 547, 873, 286, 8210, 514, 808, 753, 523, 1767, 267, 834, 296, 993, 2141, 593, 519, 1053, 262, 2427, 543, 4465, 1405, 1205, 14220, 610, 13347, 827, 602, 269, 1403, 621, 781, 4543, 519, 3214, 2328, 811, 610, 5968, 811, 267, 602, 781, 1390, 269, 2334, 781, 1018, 3610, 543, 7855, 1616, 734, 1729, 1205, 3214, 14379, 1701, 1809, 8210, 514, 808, 753, 523, 543, 6424, 32423, 3858, 609, 661, 32642, 9652, 593, 693, 2547, 835, 3364, 269, 11334, 991, 547, 1118, 2386, 1053, 1174, 519, 3096, 543, 3652, 540, 1893, 269, 6424, 32423, 543, 8210, 514, 808, 753, 523, 2671, 519, 2070, 602, 519, 5769, 567, 9041, 476, 4586, 271, 269, 814, 4957, 938, 1893, 1062, 454, 272, 269, 814, 6766, 938, 1893, 7494, 454, 273, 269, 2306, 1893, 21950, 538, 4082, 454, 274, 269, 2306, 1893, 9875, 547, 1174, 454, 12585, 281, 476, 273 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1729, 3651, 713, 1110, 1275, 547, 707, 700, 5960, 563, 2171, 723, 513, 1007, 543, 4824, 1224, 593, 713, 1888, 269, 8437, 454, 2171, 723, 6410, 782, 1543, 585, 713, 1523, 547, 454, 1721, 1732, 3919, 269, 7490, 9337, 707, 1433, 12201, 9935, 563, 2414, 1732, 10891, 856, 1543, 267, 649, 723, 10002, 21242, 713, 1523, 269, 901, 2985, 786, 581, 6569, 538, 2104, 563, 26368, 5384, 538, 476, 272, 5336, 514, 1393, 3955, 10094, 454, 307, 749, 942, 538, 476, 272, 8792, 11996, 269, 10576, 519, 942, 593, 513, 9219, 543, 6460, 621, 883, 1913, 543, 5924, 3059, 3898, 269, 700, 11229, 1141, 519, 7508, 8792, 1688, 593, 513, 9219, 1058, 581, 563, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 10112, 793, 547, 4147, 454, 11754, 547, 7732, 454, 18704, 609, 26643, 454, 21008, 532, 5565, 1849, 4169, 547, 14419, 6904, 2290, 568, 2423, 17067, 610, 13536, 454, 28062, 513, 1543, 5470, 888, 24718, 1079, 23234, 547, 3313, 799, 835, 568, 4505, 610, 2663, 454, 21316, 8160, 12788, 269, 14225, 269, 22903, 278, 630, 26368, 5384, 538, 476, 272, 5336, 514, 1393, 3955, 10094, 910, 16504, 4569, 6103, 476, 276, 994, 21316, 8160, 12788, 269, 14225, 269, 22903, 278, 630, 26368, 5384, 538, 476, 272, 5336, 514, 1393, 3955, 10094, 910, 20970, 994, 12988, 547, 519, 454, 9008, 540, 519, 2985, 20875, 454, 302, 3591, 267, 5654, 899, 12897, 616, 16981, 593, 707, 11422, 269, 8437, 454, 1729, 1294, 875, 547, 5512, 873, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 28605, 17683, 281, 30016, 268, 279, 20609, 8894, 1029, 10461, 1029, 815, 1412, 15728, 344, 28847, 258, 19425, 16343, 16948, 30775, 542, 525, 632, 2267, 345, 600, 1304, 334, 780, 3698, 30434, 541, 263, 6062, 329, 657, 267, 19702, 1963, 2187, 825, 2267, 345, 15606, 17342, 6540, 825, 23984, 20135, 284, 6352, 263, 6062, 329, 657, 264, 1948, 512, 4821, 25123, 632, 13619, 340, 657, 454, 825, 23984, 20135, 322, 668, 657, 5448, 284, 6352, 263, 6062, 329, 657, 314, 271, 8079, 1948, 339, 4821, 25123, 632, 11353, 454, 825, 5378, 611, 284, 339, 600, 20135, 322, 668, 657, 5448, 270, 273, 454, 825, 1247, 7003, 263, 6062, 329, 657, 25631, 284, 271, 912, 1038, 2119, 912, 2018, 513, 284, 6062, 329, 657, 314, 271, 2639, 2018, 5378, 611, 272, 815, 513, 314, 271, 281, 2466, 611, 2639, 2018, 5378, 611, 273, 815, 513, 314, 2466, 611, 281, 339, 600, 20135, 322, 668, 657, 5448, 2639, 2018, 536, 284, 6062, 329, 657, 314, 272, 2639, 2018, 5378, 611, 274, 815, 536, 314, 271, 281, 2466, 611, 2639, 2018, 5378, 611, 275, 815, 536, 314, 2466, 611, 281, 339, 600, 20135, 322, 668, 657, 5448, 2639, 2018, 5378, 611, 272, 23785, 2466, 611, 275, 454, 2018, 5378, 611, 274, 23785, 2466, 611, 273, 454, 2018, 2267, 345, 15606, 6910, 263, 2466, 611, 272, 994, 2018, 2267, 345, 15606, 6910, 263, 2466, 611, 274, 994, 2018, 1642, 554, 6359, 657, 314, 271, 2639, 2018, 1642, 554, 6359, 657, 314, 271, 2639, 1038, 4849, 12039, 13286, 267, 324, 912, 2018, 2267, 345, 15606, 6910, 5416, 994, 2018, 2736, 454, 825, 2132, 2267, 345, 15606 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 8605, 540, 13216, 7089, 609, 1230, 24503, 622, 676, 29961, 543, 9061, 8605, 692, 1012, 14497, 692, 4131, 1269, 345, 318, 272, 259, 543, 1269, 345, 318, 273, 259, 581, 1950, 2338, 780, 10190, 1384, 7445, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 815, 1422, 10012, 2715, 345, 318, 272, 1422, 15132, 1990, 318, 273, 348, 1341, 1775, 1422, 10012, 2715, 345, 318, 272, 1422, 9392, 1990, 318, 273, 10592, 3602, 1384, 7445, 28235, 2715, 345, 318, 272, 4151, 18575, 519, 1950, 31669, 540, 1269, 345, 318, 272, 14204, 259, 345, 318, 272, 1422, 15132, 1990, 318, 273, 259, 18575, 519, 1950, 12297, 1587, 540, 1269, 345, 318, 272, 259, 609, 1269, 345, 318, 273, 14204, 259, 345, 318, 272, 1422, 9392, 1990, 318, 273, 259, 18575, 519, 1950, 3444, 1587, 540, 1269, 345, 318, 272, 259, 609, 1269, 345, 318, 273, 16859, 1012, 19577, 692, 4399, 1091, 259, 476, 4399, 1091, 1422, 10012, 2715, 345, 318, 272, 1422, 15132, 1990, 318, 273, 348, 1341, 1775, 1422, 10012, 2715, 345, 318, 272, 1422, 9392, 1990, 318, 273, 4151, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 10012, 2715, 345, 318, 272, 1422, 15132, 1990, 318, 273, 348, 1341, 1775, 1422, 2765, 11513, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 910, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 7684, 2715, 273, 1775, 4151, 9502, 1109, 275, 540, 21070, 9061, 8605, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 1341, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 7684, 476, 273, 1341, 1422, 2765, 11513, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 910, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 7684, 476, 273, 259, 9502, 1109, 275, 540, 29961, 8605, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 1341, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 1341, 1422, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 910, 1990, 318, 272, 1422, 28235, 2715, 345, 318, 273, 348, 7684, 476, 273, 259, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 28235, 2715, 345, 318, 272, 348, 1990, 318, 273, 6911, 7445, 4565, 2931, 13645, 259 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5814, 2979, 454, 337, 815, 703, 263, 3863, 17750, 3890, 9239, 2745, 10581, 263, 276, 8358, 15615, 263, 274, 994, 2745, 2979, 32564, 265, 1911, 876, 269, 271, 454, 2745, 476, 274, 269, 15221, 30020, 4792, 274, 6812, 280, 8064, 274, 2537, 454, 2745, 10581, 16868, 264, 1262, 273, 2608, 476, 274, 269, 15221, 30020, 4792, 274, 6812, 280, 8064, 274, 2537, 692, 2745, 10581, 263, 273, 265, 337, 1262, 273, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 769, 513, 14297, 2749, 5030, 1079, 8049, 2828, 267, 15207, 543, 8861, 269, 1358, 6068, 782, 12204, 540, 5026, 267, 855, 741, 5172, 729, 11176, 269, 2290, 1554, 1247, 4730, 6952, 267, 789, 9289, 16965, 267, 968, 296, 4898, 950, 519, 7887, 11176, 3014, 3323, 9495, 692, 306, 19488, 267, 513, 7874, 9813, 3957, 2098, 1251, 7902, 256, 1261, 1185, 1044, 8384, 873, 1404, 543, 4862, 741, 2243, 269, 2098, 1251, 6045, 267, 968, 763, 4102, 5993, 1977, 11176, 2680, 267, 1572, 519, 2048, 21841, 30558, 8730, 3459, 538, 476, 3422, 278, 14325, 20755, 3240, 4280, 31113, 267, 968, 1432, 2306, 621, 865, 2706, 267, 2098, 1251, 9495, 1677, 799, 646, 14452, 267, 968, 11039, 267, 621, 6770, 1927, 519, 1655, 6887, 689, 1312, 2101, 682, 8046, 910, 519, 715, 15598, 543, 519, 589, 15598, 1848, 8861, 3773, 267, 968, 4517, 1346, 6887, 4339, 585, 513, 21743, 512, 15577, 267, 1318, 9495, 2060, 513, 12162, 267, 2098, 1251, 1767, 267, 968, 8133, 267, 8197, 256, 898, 781, 3957, 1310, 513, 1390, 16455, 267, 966, 1550, 700, 4861, 31651, 14325, 2026, 789, 4797, 6158, 267, 2098, 1251, 3838, 875, 519, 1523, 540, 519, 8111, 30558, 7153, 1813, 547, 519, 796, 2305, 540, 519, 1079, 12721, 682, 8046, 269, 4256, 4901, 4682, 4514, 883, 1620, 1648, 4483, 1282, 21611, 1063, 5716, 543, 11084, 267, 11341, 621, 1394, 547, 519, 5163, 543, 4229, 6594, 538, 2257, 1362, 780, 9617, 1287, 267, 1776, 5624, 1222, 8452, 8876, 811, 30659, 945, 849, 4941, 547, 1451, 827, 1480, 2528, 543, 5026, 269, 1717, 267, 891, 8436, 14201, 1405, 607, 7874, 282, 3079, 267, 789, 10645, 9562, 936, 3047, 781, 3756, 269, 28214, 8825, 267, 15207, 6700, 1565, 827, 14619, 676, 4259, 909, 3652, 543, 3858, 532, 547, 2463, 3025, 3238, 1107, 3425, 267, 30659, 267, 543, 1256, 954, 6549, 12519, 4715, 2209, 7567, 780, 313, 1251, 8815, 9020, 16484, 267, 6031, 267, 968, 6546, 4992, 899, 513, 9735, 1544, 256, 2913, 721, 3314, 602, 9316, 543, 9322, 666, 1291, 547, 3152, 18399, 585, 782, 7919, 267, 1100, 2339, 1018, 4541, 649, 2097, 689, 1848, 1656, 3976, 267, 609, 16012, 7326, 791, 14975, 267, 1312, 6105, 8120, 1753, 25678, 267, 6028, 938, 1762, 12325, 609, 513, 3407, 3992, 827, 9322, 267, 6735, 267, 543, 3621, 3741, 11251, 538, 741, 11537, 2250, 830, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 568, 519, 2626, 547, 713, 2243, 286, 799, 7819, 23242, 2680, 3576, 1747, 585, 519, 1101, 942, 538, 476, 3422, 278, 888, 763, 2626, 547, 713, 2243, 568, 519, 8111, 30558, 269, 634, 1101, 8111, 30558, 267, 1634, 607, 8111, 30558, 594, 267, 3576, 1747, 593, 5130, 476, 1428, 267, 476, 3422, 278, 269, 901, 1977, 23242, 2680, 568, 519, 23594, 1222, 3014, 5129, 12422, 1063, 519, 23602, 540, 519, 2817, 25624, 10985, 630, 301, 15598, 264, 543, 519, 1977, 25624, 10985, 630, 288, 15598, 264, 1369, 519, 2817, 25624, 13477, 630, 301, 14566, 6393, 21841, 30558, 594, 12286, 519, 5682, 7345, 13268, 619, 267, 8204, 519, 715, 14566, 267, 543, 519, 17857, 4975, 12751, 338, 267, 8204, 519, 1977, 25624, 13477, 630, 288, 14566, 1040, 2311, 602, 942, 267, 519, 715, 14566, 543, 589, 14566, 941, 15180, 682, 8046, 267, 543, 519, 3014, 729, 8385, 5219, 547, 607, 519, 589, 14566, 9539, 14566, 2622, 29073, 1222, 10794, 269, 634, 13268, 619, 4465, 519, 3014, 609, 513, 6060, 540, 476, 3374, 268, 1015, 267, 543, 13268, 619, 262, 2212, 16455, 966, 1550, 700, 4861, 31651, 1131, 2663, 723, 519, 512, 15577, 13752, 547, 519, 10888, 2319, 3957, 538, 1010, 8956, 1107, 519, 966, 1550, 700, 4861, 31651, 570, 15577, 780, 763, 2856, 540, 519, 8111, 30558, 3357, 883, 6228, 607, 513, 1267, 540, 519, 589, 14566, 9539, 14566, 32421, 538, 476, 272, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 22712, 878, 10134, 1895, 2882, 782, 540, 519, 1739, 267, 4849, 519, 454, 288, 269, 5318, 639, 14694, 529, 563, 289, 269, 22833, 10134, 3185, 528, 529, 563, 290, 269, 5318, 639, 31443, 529, 563, 291, 269, 6439, 639, 3185, 528, 529, 563, 292, 269, 5318, 639, 10827, 639, 454, 763, 22712, 878, 10134, 4887, 1895, 4564, 2185, 3982, 6091, 602, 960, 1927, 538, 1931, 547, 3132, 10137, 538, 519, 1850, 693, 519, 12597, 4745, 269, 1452, 6091, 616, 1336, 593, 519, 18751, 2427, 540, 519, 1850, 563, 12585, 543, 19247, 912, 8450, 2407, 2626, 2630, 563, 289, 22877, 513, 4759, 543, 12260, 782, 5530, 12226, 454, 2521, 621, 1981, 6954, 585, 476, 1789, 2395, 2521, 621, 1981, 6954, 454, 16485, 513, 2243, 454, 5978, 4966, 666, 2626, 707, 9157, 6780, 543, 1353, 2055, 269, 16485, 513, 2243, 9105, 513, 2243, 454, 9596, 811, 827, 713, 1888, 912, 5228, 6637, 476, 1691, 1315, 7689, 476, 1691, 454, 1607, 3992, 12857, 519, 2101, 20258, 4887, 2516, 540, 519, 1480, 1560, 269, 898, 2882, 12383, 267, 1806, 267, 543, 11673, 585, 1142, 2101, 1895, 269, 589, 5618, 7688, 543, 14805, 566, 540, 1883, 2798, 616, 849, 3769, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 10789, 476, 273, 692, 14006, 539, 676, 593, 16317, 5804, 513, 476, 7367, 2275, 731, 16064, 513, 3556, 568, 6537, 543, 1287, 8719, 269, 2991, 519, 16064, 568, 695, 4428, 1194, 267, 513, 2034, 3556, 568, 6537, 269, 4855, 519, 5506, 540, 1142, 2680, 563, 320, 264, 1312, 6486, 616, 15731, 780, 1892, 10789, 476, 273, 910, 2073, 692, 5575, 596, 723, 547, 2626, 875, 1082, 15731, 616, 538, 513, 16064, 540, 476, 7367, 6486, 8627, 3973, 596, 2322, 602, 1297, 936, 476, 7367, 2439, 1892, 10789, 476, 273, 910, 2073, 692, 263, 1724, 270, 7367, 7565, 1724, 270, 7367, 994, 14352, 272, 270, 275, 7565, 272, 270, 275, 994, 284, 476, 272, 270, 1626, 692, 1892, 10789, 476, 273, 910, 2073, 692, 9767, 3548, 856, 1250, 1085, 549, 3256, 543, 11116, 1250, 1781, 611 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 26611, 23591, 24800, 270, 7090, 454, 5814, 19523, 454, 5814, 4351, 692, 604, 7003, 4433, 903, 27769, 341, 264, 2999, 476, 274, 912, 825, 1820, 1412, 5825, 720, 281, 2999, 6358, 26417, 285, 2999, 3712, 12173, 19056, 7272, 4202, 285, 2999, 16059, 26417, 285, 7055, 825, 1820, 1412, 11754, 9587, 547, 26417, 267, 897, 12173, 19056, 7272, 4202, 4806, 568, 897, 4067, 272, 281, 7407, 272, 267, 3712, 4067, 273, 281, 7407, 273, 28847, 3712, 338, 318, 273, 318, 5417, 815, 19523, 27769, 341, 314, 273, 4940, 12294, 14061, 29328, 14061, 20889, 263, 3299, 5073, 3650, 518, 318, 6572, 815, 834, 4840, 7853, 318, 6572, 815, 834, 5016, 1721, 897, 538, 897, 338, 318, 273, 318, 5417, 912, 825, 2012, 19056, 7272, 1515, 815, 897, 21858, 3488, 281, 5073, 825, 952, 7003, 28442, 19056, 7272, 1515, 264, 2652, 476, 273, 912, 1038, 20927, 318, 6572, 6834, 9497, 2437, 1341, 2012, 19056, 7272, 1515, 314, 271, 7481, 1038, 1560, 318, 6572, 6834, 9497, 2437, 1341, 2012, 19056, 7272, 1515, 314, 272, 7481, 2745, 20927, 318, 6572, 267, 1560, 318, 6572, 692, 325, 334, 815, 1930, 4433, 903, 27769, 341, 314, 274, 4940, 29328, 19572, 1412, 342, 5073, 529, 318, 3650, 518, 815, 476, 272, 692, 1721, 561, 538, 1930, 4433, 903, 27769, 341, 314, 272, 4940, 29328, 3890, 2187, 825, 952, 568, 318, 3650, 518, 2652, 476, 272, 912, 1038, 9087, 22182, 10857, 14714, 8692, 3890, 1341, 20927, 318, 6572, 1341, 27719, 333, 5602, 1038, 568, 318, 3650, 518, 815, 476, 271, 454, 825, 3116, 912, 1038, 9087, 22182, 10857, 14714, 8692, 3890, 1341, 1560, 318, 6572, 1341, 27719, 333, 5602, 325, 334, 25379, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 1215, 798, 596, 1265, 519, 3328, 1871, 540, 513, 1599, 2496, 32051, 281, 6715, 23552, 1109, 14872, 692, 17345, 281, 20145, 1109, 14872, 692, 3725, 10589, 27493, 16497, 1384, 1012, 11137, 281, 19105, 9577, 10025, 692, 1607, 2243, 814, 922, 1378, 6131, 3992, 1109, 14872, 269, 5269, 2386, 547, 2638, 621, 856, 952, 596, 991, 513, 811, 9488, 1224, 267, 610, 1616, 547, 1831, 606, 4274, 593, 875, 3328, 1599, 1871, 2982, 909, 593, 4255, 780, 1012, 9577, 19105, 10025, 692, 763, 3328, 1871, 540, 513, 1599, 568, 1312, 16022, 543, 9642, 269, 898, 568, 16022, 538, 602, 621, 4564, 519, 834, 320, 2071, 4463, 257, 540, 519, 1599, 936, 513, 1978, 8884, 269, 4595, 519, 834, 19417, 257, 540, 513, 1599, 693, 513, 1808, 1269, 343, 259, 4087, 568, 519, 1599, 781, 1871, 693, 602, 1269, 343, 8961, 621, 2306, 2631, 602, 519, 3328, 1599, 1871, 666, 581, 11617, 14648, 607, 519, 3328, 4463, 540, 519, 1599, 23130, 2306, 621, 9642, 568, 602, 649, 2811, 6158, 827, 2921, 606, 3328, 540, 1945, 6024, 267, 799, 4422, 1996, 938, 6151, 20932, 689, 2776, 25575, 5040, 5736, 8847, 540, 7384, 25939, 269, 1284, 2356, 1589, 540, 25939, 607, 834, 8999, 909, 782, 519, 2338, 543, 7941, 676, 519, 1297, 540, 2474, 2668, 18641, 267, 1247, 649, 949, 4782, 519, 811, 6899, 9183, 540, 19011, 1645, 513, 15768, 1297, 540, 3688, 267, 519, 4542, 585, 3328, 1599, 1871, 849, 5205, 519, 2856, 540, 2040, 2719, 782, 2418, 543, 12270, 7868, 3328, 1599, 1871, 585, 513, 1599, 1269, 325, 3287, 7751, 593, 519, 8884, 1269, 314, 320, 14720, 316, 259, 568, 2016, 676, 281, 11377, 9507, 346, 13510, 326, 348, 1422, 12101, 12101, 12101, 267, 1422, 9507, 346, 1998, 348, 815, 1422, 2765, 3189, 842, 3709, 320, 8703, 321, 348, 535, 3287, 264, 22773, 15848, 25452, 321, 8584, 6525, 24718, 713, 609, 513, 15768, 3328, 540, 513, 1592, 540, 1269, 343, 259, 2418, 267, 20270, 343, 318, 272, 267, 1422, 12101, 267, 1535, 318, 273, 267, 1422, 12101, 267, 1422, 25854, 1422, 12101, 267, 1535, 5332, 4151, 281, 11377, 9507, 346, 13510, 326, 348, 1422, 12101, 12101, 12101, 267, 1422, 9507, 346, 1998, 348, 815, 1422, 2765, 3189, 8999, 3709, 328, 284, 272, 8703, 333, 348, 1535, 10983, 2410, 333, 6525, 26139, 267, 713, 568, 1360, 2147, 1523, 1302, 267, 865, 23248, 602, 2337, 596, 3314, 713, 1007, 7533, 4542, 952, 596, 723, 547, 27655, 621, 2336, 1892, 15019, 12474, 454, 1892, 5192, 570, 4381, 454, 1892, 4033, 853, 4428 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 476, 7871, 269, 26228, 4427, 6783, 454, 258, 14168, 454, 16482, 258, 476, 4366, 275, 276, 454, 16482, 258, 476, 5197, 454, 16482, 258, 674, 2948, 924, 454, 16482, 258, 9523, 454, 258, 9717, 606, 8870, 5044, 15358, 267, 1265, 519, 733, 27631, 1016, 6783, 630, 935, 8877, 693, 2547, 835, 1297, 264, 799, 814, 519, 4102, 2040, 543, 2132, 922, 2040, 563, 16482, 258, 7151, 912, 16482, 258, 18452, 281, 30585, 273, 267, 272, 16427, 274, 267, 275, 16427, 272, 267, 273, 267, 272, 16427, 276, 267, 275, 16689, 258, 19243, 281, 476, 277, 454, 258, 19247, 281, 1496, 275, 16427, 272, 267, 273, 267, 272, 316, 814, 519, 4102, 2040, 815, 476, 277, 563, 258, 7427, 909, 912, 16482, 258, 1403, 596, 723, 23125, 856, 519, 744, 3799, 264, 3070, 267, 2119, 8193, 1776, 3070, 1210, 519, 7941, 543, 20630, 1935, 267, 799, 568, 811, 11029, 563, 16482, 5035, 8827, 912, 453, 258, 744, 3799, 994, 825, 1219, 3193, 8138, 26161, 4311, 267, 15358, 2187, 1038, 562, 815, 7003, 25225, 994, 672, 453, 29514, 10946, 815, 15358, 314, 271, 2639, 672, 453, 2017, 337, 815, 15358, 314, 271, 2639, 672, 22610, 1775, 538, 2039, 263, 272, 19885, 2187, 672, 453, 453, 258, 2856, 281, 952, 2040, 30385, 2073, 1775, 316, 2999, 1775, 267, 1964, 691, 28364, 689, 1775, 3097, 672, 453, 453, 2017, 337, 815, 3193, 25225, 5157, 3910, 28364, 1341, 15358, 5157, 7481, 672, 453, 453, 29514, 10946, 815, 3193, 263, 29514, 10946, 267, 28364, 994, 672, 16596, 2518, 10946, 19638, 692, 825, 1948, 5696, 1393, 3196, 454, 825, 1948, 570, 3799, 264, 815, 562, 1341, 630, 333, 268, 272, 264, 1341, 630, 333, 268, 273, 264, 1341, 3267, 1341, 476, 272, 815, 744, 3799, 317, 273, 994, 825, 1948, 11742, 3970, 25295, 3097, 825, 1219, 3193, 8138, 26161, 273, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 5727, 8931, 1038, 562, 815, 7003, 25225, 994, 1038, 952, 562, 2652, 476, 271, 912, 2018, 2132, 476, 271, 454, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 15358, 314, 271, 2639, 13872, 1038, 3193, 21653, 815, 3193, 25225, 994, 1038, 1775, 815, 476, 271, 454, 1038, 1247, 1775, 2999, 562, 268, 272, 912, 2018, 952, 15358, 5157, 316, 2999, 476, 271, 281, 1948, 933, 21645, 1616, 2258, 3097, 3546, 1775, 815, 1775, 1341, 476, 272, 3097, 2018, 521, 815, 15358, 5157, 2639, 2018, 585, 795, 538, 2039, 9217, 266, 272, 19885, 2187, 3546, 521, 6834, 15358, 14728, 2639, 3546, 3193, 21653, 815, 3193, 32384, 21653, 29679, 994, 2018, 1775, 6834, 476, 272, 454, 1038, 2132, 3193, 21653 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 6904, 3864, 2749, 568, 6039, 676, 3057, 793, 2033, 23076, 888, 12585, 281, 3057, 572, 14792, 454, 2704, 328, 1162, 281, 7345, 540, 3057, 572, 4068, 267, 3057, 572, 4068, 630, 293, 8896, 1070, 3057, 572, 14792, 267, 3057, 572, 4068, 267, 5333, 267, 9370, 580, 20377, 267, 3057, 1088, 3873, 267, 7136, 559, 2103, 267, 6167, 13624, 302, 4596, 14701, 281, 15709, 300, 11965, 267, 634, 4365, 538, 3057, 572, 4068, 267, 7136, 26515, 267, 7136, 27482, 267, 7136, 23158, 267, 9370, 320, 14792, 267, 9370, 1408, 548, 267, 3057, 572, 4068, 267, 4975, 540, 3057, 572, 4068, 267, 634, 4365, 538, 3057, 572, 14792, 267, 9370, 841, 548, 267, 7136, 531, 3999, 525, 267, 9370, 328, 21304, 267, 3057, 572, 8759, 529, 267, 3057, 572, 14792, 267, 5333 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 266, 271, 692, 271, 454, 14056, 454, 272, 692, 763, 4320, 540, 513, 12106, 568, 1109, 3607, 11027, 1109, 514, 23326, 780, 1432, 568, 519, 8953, 540, 519, 12106, 2496, 10817, 652, 1109, 15037, 476, 1691, 267, 476, 1001, 278, 454, 31374, 1384, 258, 272, 454, 266, 279, 5780, 5392, 454, 266, 276, 692, 309, 4944, 1877, 1109, 815, 630, 275, 270, 274, 264, 2608, 14039, 2608, 678, 317, 274, 1741, 10371, 1862, 810, 1862, 780, 3607, 14039, 1109, 815, 630, 275, 270, 274, 264, 14039, 678, 317, 274, 3396, 7941, 856, 1109, 14039, 692, 3607, 815, 630, 275, 270, 274, 264, 678, 317, 274, 3396, 1741, 9062, 676, 476, 274, 270, 275, 692, 3607, 263, 274, 270, 275, 264, 1109, 815, 678, 317, 274, 692, 2767, 1109, 815, 678, 317, 274, 3396, 1741, 1491, 13306, 3597, 540, 1312, 5011, 692, 274, 538, 1741, 815, 5231, 678, 692, 290, 4942, 650, 476, 1109, 15037, 476, 1691, 267, 476, 1001, 278 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 21414, 519, 3970, 4399, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 10592, 296, 991, 547, 6218, 519, 1739, 3970, 1384, 7445, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 10592, 296, 723, 16611, 1312, 5011, 676, 519, 31669, 4399, 6912, 12757, 317, 273, 266, 276, 15396, 274, 259, 855, 993, 3478, 1269, 343, 317, 273, 268, 275, 259, 607, 519, 14009, 269, 1772, 713, 519, 2953, 1259, 547, 979, 827, 621, 2496, 1892, 5620, 596, 2808, 561, 262, 295, 641, 1388, 781, 4341, 286, 1107, 1109, 289, 517, 333, 611, 3089, 4239, 476, 1724, 1412, 1724, 693, 476, 1428, 281, 4391, 454, 1892, 476, 1015, 268, 1556, 3764, 269, 476, 1107, 1109, 12441, 4239, 476, 1724, 1412, 1724, 693, 476, 1428, 281, 4649, 692, 8133, 8197, 267, 602, 781, 519, 1259, 547, 979, 827, 621, 269, 3767, 267, 649, 723, 1422, 8218, 9387, 348, 1422, 3916, 3709, 343, 1422, 1729, 476, 273, 4153, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 348, 1299, 815, 1422, 3916, 3709, 343, 1422, 1729, 476, 273, 4153, 13320, 18950, 343, 268, 273, 264, 7268, 6912, 12757, 317, 273, 1341, 476, 276, 348, 1341, 476, 274, 20972, 343, 317, 273, 910, 476, 275, 348, 8607, 8607, 1299, 815, 1422, 3916, 3709, 343, 1422, 1729, 476, 273, 4153, 13320, 18950, 343, 268, 273, 264, 7268, 6912, 12757, 317, 273, 1341, 476, 276, 348, 1341, 476, 274, 20972, 263, 343, 910, 476, 273, 7565, 343, 266, 273, 14587, 8607, 8607, 1299, 1422, 13569, 564, 12757, 315, 928, 336, 476, 273, 2410, 284, 348, 1422, 3916, 3709, 343, 1422, 1729, 476, 273, 4153, 13320, 11513, 6912, 12757, 317, 273, 1341, 476, 276, 348, 1341, 476, 274, 2410, 343, 266, 273, 348, 8607, 8607, 1299, 815, 1422, 13320, 476, 5038, 815, 1422, 2765, 476, 3953, 17910, 9387, 10926, 5804, 1018, 596, 723, 3893, 267, 596, 666, 3274, 22599, 519, 3815, 18159, 343, 268, 273, 7751, 689, 1312, 19362, 543, 14009, 269, 2991, 602, 267, 596, 666, 12990, 1269, 343, 284, 273, 259, 883, 519, 4082, 543, 3489, 519, 3970, 780, 2791, 616, 593, 519, 1318, 3950, 780, 7445, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 18098, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 348, 1422, 2765, 3189, 6912, 12757, 317, 273, 266, 276, 15396, 274, 7346, 6912, 12757, 317, 273, 266, 276, 15396, 274, 18098, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 18950, 343, 268, 273, 264, 7268, 6912, 12757, 317, 273, 266, 276, 15396, 274, 20972, 263, 343, 268, 273, 7565, 343, 266, 273, 264, 4151, 28976, 6695, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 346, 7268, 6912, 12757, 317, 273, 266, 276, 15396, 274, 20972, 263, 343, 266, 273, 264, 6525, 543, 10442, 693, 1269, 273, 259, 649, 1205, 692, 11377, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 346, 7268, 6912, 12757, 317, 273, 266, 276, 15396, 274, 20972, 263, 343, 266, 273, 264, 13157, 1422, 2765, 346, 7268, 6912, 346, 275, 266, 276, 15396, 274, 20972, 263, 273, 266, 273, 14587, 7807, 2765, 346, 277, 2410, 275, 18098, 2765, 346, 274, 2410, 273, 15732, 1103, 4399, 3916, 3709, 343, 29540, 476, 273, 348, 1422, 2765, 12757, 268, 273, 7346, 6912, 12757, 317, 273, 266, 276, 18511, 274, 4151, 1577, 1269, 343, 815, 586, 266, 273, 16859, 1607, 3587, 692, 17961, 9387, 348, 1422, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7346, 6912, 18950, 344, 266, 273, 8203, 273, 266, 276, 18511, 274, 348, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7346, 6912, 26635, 317, 273, 266, 275, 344, 266, 275, 266, 276, 18511, 274, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7346, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 18511, 274, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7346, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 18511, 274, 4153, 2765, 3189, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 7346, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 20972, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 18511, 274, 264, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 264, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 20972, 263, 344, 317, 273, 266, 275, 344, 266, 280, 9984, 280, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 26635, 7268, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 20972, 344, 317, 273, 266, 275, 344, 27874, 1299, 7807, 3916, 3709, 344, 29540, 476, 271, 348, 1422, 2765, 3189, 6912, 26635, 317, 273, 266, 275, 344, 266, 280, 15396, 274, 2410, 344, 266, 275, 27874, 1299, 7807, 2765, 3189, 6912, 346, 280, 15396, 274, 2410, 275, 27874, 1299, 7807, 2765, 346, 277, 2410, 275, 27874, 1299, 7807, 2765, 346, 274, 2410, 273, 27874, 1422, 754, 9387, 348 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 29571, 6388, 1210, 476, 273, 6581, 1132, 563, 258, 6581, 826, 8045, 568, 676, 1210, 6422, 14249, 609, 7368, 30945, 563, 692, 5035, 6581, 826, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3970, 284, 1015, 2187, 1038, 1582, 269, 28255, 815, 1496, 14085, 30297, 3916, 527, 454, 1038, 1582, 8807, 3224, 815, 910, 272, 454, 1038, 1582, 18622, 541, 815, 3970, 268, 272, 454, 1038, 1582, 269, 3916, 527, 815, 3970, 454, 1038, 1582, 25915, 815, 476, 271, 692, 825, 1219, 568, 9078, 770, 4311, 2187, 1038, 952, 630, 1345, 8807, 3224, 266, 272, 264, 4939, 1582, 269, 3916, 527, 2652, 1582, 18622, 541, 610, 630, 1345, 8807, 3224, 268, 272, 264, 4939, 1582, 269, 3916, 527, 2652, 1582, 18622, 541, 912, 2018, 2132, 6936, 692, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 1582, 25915, 10922, 476, 271, 692, 825, 1219, 679, 28255, 4311, 267, 1239, 2187, 1038, 952, 1582, 25915, 13843, 1582, 269, 3916, 527, 912, 2018, 1582, 269, 637, 1125, 4590, 1038, 1582, 18622, 541, 815, 630, 1345, 18622, 541, 266, 272, 264, 4939, 1582, 269, 3916, 527, 454, 1038, 1582, 269, 28255, 314, 1345, 18622, 541, 316, 815, 1239, 454, 1038, 1582, 25915, 6834, 476, 272, 692, 825, 1219, 632, 28255, 4311, 2187, 1038, 1582, 8807, 3224, 815, 630, 1345, 8807, 3224, 266, 272, 264, 4939, 1582, 269, 3916, 527, 454, 1038, 1582, 25915, 20699, 476, 272, 454, 1038, 2132, 1582, 269, 28255, 314, 1345, 8807, 3224, 6540, 825, 1219, 759, 1125, 4311, 2187, 1038, 1582, 269, 3916, 527, 2608, 284, 476, 273, 454, 1038, 1007, 318, 28255, 815, 1496, 14085, 30297, 1345, 269, 3916, 527, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 266, 272, 2187, 2018, 1007, 318, 28255, 5157, 316, 815, 1582, 269, 28255, 5157, 2639, 1038, 1582, 269, 28255, 815, 1007, 318, 28255, 454, 1038, 1642, 1007, 318, 28255, 692, 825, 1219, 2450, 4311, 2187, 1038, 2132, 1582, 25915, 692, 825, 1219, 20313, 23631, 541, 4311, 2187, 1038, 2132, 1582, 269, 28255, 314, 1345, 18622, 541, 6540, 454, 5035, 29571, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3970, 284, 1015, 2187, 1038, 1582, 269, 4302, 272, 815, 6581, 826, 263, 3916, 527, 994, 1038, 1582, 269, 4302, 273, 815, 6581, 826, 263, 3916, 527, 994, 1038, 1582, 25915, 815, 476, 271, 692, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 1582, 25915, 10922, 476, 271, 692, 825, 1219, 7903, 4311, 267, 1239, 2187, 1038, 952, 1582, 269, 4302, 272, 18994, 318, 24105, 3890, 543, 1582, 269, 4302, 273, 18994, 318, 24105, 10031, 2018, 1582, 269, 4302, 273, 269, 523, 28255, 16597, 994, 1038, 3116, 912, 2018, 1582, 269, 4302, 272, 269, 523, 28255, 16597, 994, 1038, 1582, 25915, 6834, 476, 272, 692, 825, 1219, 1402, 4311, 2187, 1038, 952, 1582, 18994, 318, 24105, 10031, 2018, 6318, 28759, 2891, 15152, 6503, 32405, 1038, 8640, 1582, 269, 4302, 272, 25915, 3436, 1582, 269, 4302, 273, 25915, 912, 2018, 1247, 711, 1582, 269, 4302, 272, 18994, 9078, 770, 10031, 3546, 1582, 269, 4302, 273, 269, 523, 28255, 4311, 269, 4302, 272, 19709, 28255, 15405, 2018, 1582, 25915, 20699, 476, 272, 454, 2018, 2132, 1582, 269, 4302, 272, 19709, 28255, 4590, 1038, 3116, 912, 2018, 1247, 711, 1582, 269, 4302, 273, 18994, 9078, 770, 10031, 3546, 1582, 269, 4302, 272, 269, 523, 28255, 4311, 269, 4302, 273, 19709, 28255, 15405, 2018, 1582, 25915, 20699, 476, 272, 454, 2018, 2132, 1582, 269, 4302, 273, 19709, 28255, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 1269, 347, 343, 347, 910, 1923, 344, 347, 1422, 19008, 1923, 343, 3917, 347, 286, 6911, 3674, 972, 513, 15931, 1259, 547, 1397, 602, 692, 2330, 347, 343, 347, 910, 1923, 344, 347, 1422, 19008, 1923, 343, 3917, 347, 9681, 296, 3494, 594, 666, 1589, 540, 513, 1259, 547, 4194, 713, 1210, 2665, 267, 855, 519, 1433, 594, 6415, 2324, 856, 540, 1767, 602, 834, 288, 1360, 2110, 6169, 568, 2009, 952, 596, 2328, 1919, 538, 519, 1318, 1259, 257, 799, 814, 12592, 803, 547, 4137, 856, 713, 2656, 1259, 267, 855, 594, 4312, 8959, 3976, 2484, 543, 1022, 948, 1131, 581, 15874, 692, 1892, 670, 842, 281, 3503, 1269, 343, 24210, 3917, 20742, 259, 593, 519, 700, 9391, 269, 1107, 1109, 294, 527, 717, 644, 7325, 476, 2190, 1412, 1691, 693, 476, 1704, 281, 2537, 692, 1012, 476, 273, 12226, 692, 7445, 3847, 347, 343, 9368, 347, 7807, 3847, 347, 343, 3917, 20742, 9368, 24689, 19008, 13375, 347, 343, 3917, 9368, 347, 10954, 3847, 347, 344, 9368, 347, 259, 865, 4399, 3847, 347, 343, 9368, 347, 10559, 3847, 347, 344, 9368, 24689, 19008, 13375, 347, 343, 3917, 9368, 347, 6911, 1892, 602, 568, 7168, 15931, 269, 7064, 256, 1107, 1109, 13043, 318, 26877, 30185, 7325, 476, 2190, 1412, 1691, 693, 476, 1704, 281, 4375, 454, 1892, 1411, 616, 1360, 10950, 269, 1107, 1109, 20142, 4725, 7325, 476, 2190, 1412, 1691, 693, 476, 1704, 281, 7906, 692, 7312, 8635, 568, 6697, 547, 519, 6906, 8635, 267, 865, 1210, 621, 18327, 707, 8635, 538, 835, 1900, 269, 630, 8450, 1743, 4725, 781, 2626, 24355, 21413, 1210, 519, 6906, 8635, 267, 649, 666, 1869, 1265, 513, 6169, 602, 3085, 1405, 991, 2665, 1384, 7312, 8635, 568, 6697, 547, 3230, 347, 343, 347, 1422, 548, 1923, 343, 3917, 347, 1341, 1923, 344, 347, 269, 2330, 4595, 1312, 5011, 616, 1875, 24308, 267, 713, 568, 6697, 547, 3230, 347, 343, 347, 317, 273, 1422, 548, 630, 347, 343, 3917, 347, 1341, 1923, 344, 347, 8203, 273, 269, 2330, 12433, 519, 10945, 543, 1205, 7759, 540, 1269, 343, 317, 273, 259, 593, 1312, 5011, 547, 1205, 3230, 271, 315, 548, 476, 273, 344, 317, 273, 268, 273, 15383, 1341, 1341, 476, 273, 347, 263, 343, 3917, 264, 344, 347, 267, 2330, 799, 568, 6697, 547, 3230, 273, 3287, 3917, 264, 344, 1422, 548, 476, 273, 347, 263, 343, 3917, 264, 344, 347, 267, 2330, 799, 568, 3020, 2094, 1269, 345, 315, 548, 347, 345, 347, 259, 585, 782, 1269, 345, 22174, 315, 13992, 681, 10608 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 8193, 281, 30016, 268, 279, 692, 18851, 7078, 540, 3838, 1239, 543, 5198, 2783, 609, 513, 2241, 4831, 799, 568, 454, 27463, 7757, 676, 1079, 16060, 563, 20701, 5228, 6449, 325, 1956, 1029, 1104, 1820, 6958, 4233, 454, 5814, 8142, 532, 692, 7246, 311, 318, 25604, 815, 476, 4335, 271, 692, 290, 3300, 815, 1826, 2891, 290, 3300, 2580, 630, 15953, 267, 1070, 27835, 12248, 9166, 476, 271, 348, 2020, 3698, 27261, 318, 31467, 6262, 3300, 2187, 825, 585, 9041, 538, 2039, 263, 7246, 311, 318, 25604, 2187, 1038, 4831, 29644, 815, 4831, 29644, 1341, 476, 272, 692, 3698, 1292, 10031, 825, 4831, 815, 22388, 4590, 825, 512, 272, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 27463, 618, 318, 31467, 267, 26571, 14352, 322, 3300, 267, 4917, 825, 512, 273, 815, 8142, 532, 269, 1320, 1348, 6025, 13759, 284, 27463, 618, 318, 31467, 267, 26571, 14352, 322, 3300, 267, 4917, 825, 512, 273, 269, 11034, 4590, 825, 512, 272, 269, 11034, 4590, 825, 512, 272, 12459, 7765, 4590, 825, 512, 273, 12459, 7765, 4590, 825, 1820, 2891, 290, 3300, 1871, 1412, 24001, 262, 2668, 8971, 6262, 3300, 29644, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 901, 4229, 547, 723, 811, 2796, 15175, 547, 16196, 513, 1239, 5198, 538, 454, 825, 1948, 5124, 476, 273, 543, 5124, 476, 274, 6606, 563, 825, 1104, 19523, 454, 825, 952, 19523, 269, 11437, 318, 16769, 6230, 1994, 2652, 476, 273, 912, 1038, 19523, 15630, 13765, 5793, 1998, 263, 736, 994, 825, 3116, 912, 1038, 1948, 3143, 811, 24217, 538, 5124, 476, 274, 267, 621, 781, 942, 1759, 563, 1038, 1948, 476, 271, 269, 4962, 1984, 1047, 1718, 267, 476, 1911, 271, 2053, 4130, 982, 519, 9949, 630, 276, 1984, 1047, 6948, 994, 1038, 19523, 4732, 1115, 342, 3558, 5793, 1998, 263, 276, 324, 268, 276, 994, 825, 1292, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 272, 269, 279, 257, 27003, 6441, 833, 9995, 7723, 1230, 17917, 910, 28342, 334, 853, 668, 520, 565, 924, 454, 4322, 598, 4038, 687, 616, 4749, 5219, 543, 30630, 547, 607, 853, 668, 520, 565, 924, 630, 10177, 576, 15455, 540, 3473, 531, 10125, 1070, 855, 594, 6415, 7168, 18617, 602, 789, 616, 711, 269, 1879, 2759, 543, 25509, 789, 798, 711, 1397, 10058, 2482, 1359, 3270, 596, 1131, 2503, 547, 1294, 538, 513, 853, 668, 520, 565, 924, 269, 4746, 689, 5359, 593, 519, 4087, 519, 8768, 899, 3270, 616, 1152, 2938, 593, 2627, 6534, 15013, 267, 10834, 789, 616, 3361, 676, 11761, 563, 288, 598, 17917, 568, 513, 2182, 267, 11741, 2527, 540, 4224, 602, 3029, 1472, 513, 22140, 543, 1336, 538, 24348, 4224, 269, 634, 3355, 13540, 602, 3323, 519, 5250, 540, 519, 598, 17917, 568, 3335, 5214, 1570, 269, 1230, 4038, 687, 616, 3335, 20085, 610, 24814, 855, 666, 1491, 593, 930, 1360, 12150, 5546, 1932, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 30949, 12700, 910, 670, 3291, 619, 7615, 454, 295, 3291, 619, 7615, 568, 513, 1804, 2344, 4884, 538, 4639, 31920, 267, 1472, 476, 1015, 5195, 5045, 540, 17659, 5112, 267, 519, 14282, 2749, 269, 32163, 730, 2673, 547, 1312, 519, 3162, 24282, 1149, 543, 519, 30078, 10588, 267, 519, 4884, 568, 11303, 676, 11495, 24781, 543, 568, 513, 2442, 10278, 585, 3802, 619, 543, 7814, 1235, 269, 634, 4884, 779, 1292, 5721, 6728, 814, 2769, 2533, 547, 20506, 23051, 543, 25480, 267, 607, 1134, 607, 547, 3875, 824, 7187, 4872, 971, 607, 1715, 31069, 267, 3840, 543, 2274, 2644, 563, 763, 4884, 814, 513, 1297, 540, 15882, 543, 1148, 26847, 269, 2051, 928, 9503, 7467, 6212, 593, 2199, 2324, 1272, 538, 519, 4571, 476, 6642, 271, 338, 267, 1247, 24729, 5459, 17341, 7467, 21269, 513, 9962, 942, 7406, 267, 609, 10070, 1472, 519, 1858, 781, 9998, 13896, 7258, 2413, 13742, 269, 11531, 267, 670, 3291, 619, 7615, 3203, 20155, 20502, 3703, 543, 3486, 1148, 689, 519, 2063, 476, 1911, 1296, 563, 763, 4884, 1101, 9411, 6592, 1686, 538, 4936, 2053, 267, 855, 670, 3291, 619, 7615, 267, 607, 621, 6818, 2221, 267, 3576, 3337, 1282, 519, 11633, 7169, 269, 670, 3291, 619, 7615, 814, 1044, 3238, 538, 519, 15144, 6352, 2872, 585, 5553, 543, 2968, 513, 8998, 585, 519, 19135, 2872, 1282, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 18411, 5331, 596, 616, 2542, 538, 513, 6908, 540, 9981, 269, 11270, 1227, 267, 596, 6999, 547, 581, 2111, 547, 1413, 909, 519, 7584, 540, 513, 1297, 1535, 630, 1492, 1297, 540, 2418, 1447, 982, 610, 3160, 547, 1535, 1040, 25956, 519, 1505, 3950, 17301, 1535, 1070, 799, 568, 1572, 950, 1142, 1297, 568, 6383, 543, 519, 1505, 1205, 305, 1678, 8170, 10831, 17301, 1535, 1070, 799, 7024, 519, 1297, 540, 2418, 1447, 982, 610, 3160, 547, 1535, 630, 2254, 1519, 1535, 3294, 6393, 7078, 912, 825, 18452, 281, 20837, 630, 514, 1931, 540, 23079, 2567, 476, 276, 267, 476, 272, 267, 476, 275, 267, 476, 275, 267, 476, 276, 267, 476, 280, 267, 476, 278, 267, 476, 1724, 267, 476, 274, 454, 825, 19243, 281, 1205, 305, 1678, 8170, 10831, 263, 272, 264, 815, 476, 271, 454, 2018, 1205, 305, 1678, 8170, 10831, 263, 274, 264, 815, 476, 272, 454, 2018, 1205, 305, 1678, 8170, 10831, 263, 275, 264, 815, 476, 274, 692, 295, 6493, 281, 476, 22145, 267, 476, 4391, 277, 267, 476, 4375, 273, 454, 18257, 7531, 3698, 7584, 318, 5228, 318, 6894, 4433, 2187, 825, 1780, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454, 825, 7682, 7584, 318, 5228, 318, 6894, 3488, 10807, 2652, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 4340, 547, 519, 5114, 3830, 1990, 7224, 1341, 524, 9890, 1071, 273, 1341, 1990, 333, 267, 5173, 519, 2527, 540, 519, 4646, 692, 6097, 547, 519, 5114, 3830, 1990, 7224, 1341, 524, 9890, 1071, 273, 1341, 1990, 333, 267, 5173, 519, 2527, 540, 519, 4646, 3327, 24785, 952, 13058, 12547, 2746, 539, 476, 2412, 269, 276, 575, 692, 4131, 779, 1265, 519, 2179, 540, 13058, 12547, 6219, 31626, 302, 676, 519, 4542, 1384, 333, 815, 544, 281, 631, 780, 300, 630, 313, 333, 302, 264, 815, 476, 4792, 1341, 476, 1626, 815, 476, 10037, 575, 1315, 12387, 780, 333, 815, 476, 2412, 269, 276, 575, 281, 476, 10037, 575, 1315, 12387, 815, 476, 271, 269, 276, 12387, 780, 4131, 779, 17492, 519, 5114, 3830, 267, 1265, 519, 11050, 12753, 540, 6878, 780, 273, 313, 333, 396, 508, 1341, 595, 815, 476, 273, 313, 333, 1341, 29112, 396, 508, 273, 20875, 780, 6097, 547, 519, 5114, 3830, 267, 972, 568, 476, 272, 3727, 540, 3327, 24785, 585, 476, 273, 12387, 540, 13058, 12547, 269, 15240, 1734, 616, 538, 11050, 12753, 540, 476, 273, 281, 476, 272, 780, 763, 2179, 540, 3327, 24785, 6219, 786, 581, 476, 273, 2053, 1447, 982, 13058, 12547, 780, 273, 333, 630, 313, 333, 302, 264, 815, 562, 630, 4596, 273, 264, 815, 476, 271, 269, 276, 281, 476, 273, 815, 476, 271, 269, 1839, 12387, 780, 8340, 519, 2527, 540, 3327, 24785, 780, 332, 815, 562, 6398, 631, 10484, 300, 630, 4596, 273, 264, 815, 476, 4510, 575, 1315, 12387, 780, 332, 815, 476, 271, 269, 1839, 12387, 6398, 476, 4510, 575, 1315, 12387, 815, 476, 1556, 575, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8340, 856, 1018, 1522, 4755, 952, 596, 586, 11921, 538, 10198, 269, 962, 27681, 538, 13909, 568, 513, 1433, 1532, 663, 539, 2542, 1433, 585, 3384, 3988, 267, 5402, 1377, 1194, 693, 21060, 3883, 17020, 585, 11461, 2542, 269, 27202, 569, 11609, 2429, 267, 713, 476, 23841, 30087, 6586, 2719, 1433, 568, 5078, 585, 6502, 476, 277, 910, 476, 278, 269, 962, 27681, 538, 13909, 2934, 513, 3476, 267, 1447, 11295, 1257, 609, 513, 811, 6905, 6863, 269, 2859, 5339, 1893, 568, 1031, 609, 811, 1950, 4845, 3889, 269, 2859, 2230, 568, 4847, 585, 1257, 982, 585, 5961, 269, 962, 27681, 538, 13909, 568, 851, 540, 681, 22095, 7335, 25578, 267, 513, 11295, 10872, 585, 1453, 1565, 547, 1224, 269, 634, 3126, 814, 19939, 2157, 2185, 18551, 2157, 543, 22221, 1433, 6512, 2157, 25968, 998, 547, 700, 830, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 30975, 281, 14168, 454, 258, 5678, 281, 23911, 454, 258, 5384, 281, 476, 272, 5662, 692, 258, 13517, 281, 763, 2749, 540, 8053, 335, 749, 1512, 814, 9280, 922, 10754, 609, 1219, 2320, 650, 2209, 547, 948, 4688, 9601, 540, 13487, 10654, 338, 454, 258, 9122, 593, 519, 1239, 649, 1683, 538, 519, 4255, 267, 2328, 513, 1982, 602, 786, 1450, 3755, 547, 1265, 519, 1219, 2320, 650, 1807, 14282, 547, 741, 4087, 692, 5814, 19523, 454, 5814, 2979, 692, 3698, 3845, 263, 13036, 517, 267, 667, 23272, 2073, 8085, 517, 2073, 8085, 520, 2187, 825, 1535, 815, 630, 13036, 517, 910, 772, 299, 517, 264, 2608, 2979, 269, 6523, 9230, 8085, 520, 1341, 667, 23272, 8358, 273, 994, 825, 586, 815, 667, 23272, 910, 772, 23272, 454, 825, 546, 815, 2979, 28460, 9638, 578, 3287, 267, 273, 264, 1341, 2979, 4877, 578, 12169, 267, 273, 4297, 2608, 476, 277, 4391, 272, 454, 825, 2132, 546, 692, 23127, 815, 3403, 14061, 516, 2897, 2891, 2437, 267, 834, 23528, 26245, 815, 3403, 14061, 516, 2897, 2891, 2437, 267, 834, 23528, 333, 815, 703, 9272, 15405, 323, 604, 815, 11713, 1721, 1775, 538, 2039, 3799, 2187, 825, 546, 604, 6910, 9272, 14061, 516, 2897, 2891, 2437, 267, 834, 1701, 1040, 20889, 2891, 282, 8442, 2020, 2381, 815, 3845, 263, 15615, 5560, 604, 314, 271, 6012, 268, 273, 25818, 15615, 5560, 604, 314, 271, 6012, 268, 272, 25818, 15615, 10857, 517, 1070, 10581, 10857, 520, 4917, 4067, 815, 546, 604, 314, 271, 6012, 272, 6540, 1721, 1775, 538, 2039, 263, 272, 267, 7003, 5560, 604, 264, 910, 272, 2187, 825, 1535, 815, 3845, 263, 15615, 5560, 604, 5157, 6012, 268, 273, 25818, 15615, 5560, 604, 5157, 6012, 268, 272, 25818, 15615, 10857, 517, 1070, 10581, 10857, 520, 4917, 825, 952, 263, 2381, 3436, 1535, 2187, 1038, 1295, 476, 815, 1535, 454, 1038, 2012, 815, 546, 604, 5157, 6012, 272, 6540, 2745, 28442, 994 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7705, 281, 19850, 7585, 267, 723, 596, 2479, 2219, 827, 875, 3388, 538, 938, 1158, 568, 10562, 286, 3502, 1175, 9308, 267, 855, 849, 32375, 2496, 7692, 281, 670, 7825, 267, 594, 6557, 711, 2386, 594, 1246, 267, 7705, 269, 1548, 798, 596, 1611, 676, 968, 338, 2869, 527, 1302, 892, 2496, 8334, 281, 4270, 267, 1577, 803, 2491, 1210, 1945, 649, 1312, 1294, 1419, 1107, 20151, 256, 4634, 1498, 1082, 1004, 1522, 581, 12922, 540, 873, 267, 20151, 2965, 2099, 1082, 2318, 2093, 899, 26274, 267, 9639, 267, 543, 7326, 269, 1358, 7618, 721, 602, 1169, 2962, 649, 1491, 5540, 711, 1152, 6000, 855, 849, 1346, 1472, 721, 269, 2334, 779, 851, 540, 1373, 32375, 4448, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 267, 950, 594, 1294, 513, 17178, 18343, 922, 1357, 267, 621, 779, 2870, 4296, 1063, 1114, 2694, 540, 2470, 267, 1318, 286, 3807, 899, 875, 1250, 3527, 1764, 824, 1004, 780, 8334, 281, 22549, 256, 1656, 1705, 596, 917, 602, 1142, 1268, 814, 513, 2189, 31522, 7089, 602, 4564, 945, 789, 616, 2620, 1524, 286, 898, 779, 835, 1259, 547, 1174, 6000, 1732, 543, 1451, 875, 649, 3514, 883, 519, 8273, 4605, 780, 7692, 281, 589, 31522, 7089, 286, 1215, 798, 594, 1265, 9553, 2496, 8334, 281, 1703, 616, 2228, 2645, 602, 948, 5173, 707, 31522, 7089, 1759, 593, 707, 4332, 11845, 269, 1809, 3314, 267, 1256, 952, 6616, 707, 31522, 7089, 3947, 596, 5813, 883, 3054, 267, 621, 3085, 1406, 5581, 945, 596, 616, 4625, 269, 2659, 4555, 267, 4606, 267, 543, 2833, 3337, 596, 1932, 780, 7692, 281, 20944, 15939, 256, 3733, 3158, 2141, 3081, 602, 1702, 568, 1379, 269, 1924, 267, 1565, 827, 8885, 786, 1118, 803, 6793, 267, 26001, 2496, 8334, 281, 8786, 267, 8197, 256, 4197, 3054, 2337, 596, 6330, 519, 1158, 811, 20617, 269, 1280, 3236, 267, 952, 596, 917, 602, 596, 4043, 547, 581, 791, 520, 1304, 3006, 267, 1287, 596, 666, 2259, 1373, 3461, 538, 1978, 3871, 269, 901, 4656, 2306, 596, 1332, 607, 513, 1268, 780, 7692, 281, 15346, 256, 2052, 649, 2263, 811, 827, 713, 2663, 286, 594, 1616, 547, 1397, 9835, 11985, 8751, 1018, 649, 4121, 2221, 269, 1261, 14560, 2831, 543, 1131, 4440, 2972, 6217, 827, 20151, 685, 13513, 780, 8334, 281, 25999, 267, 7585, 256, 19457, 1018, 649, 4076, 4362, 1927, 786, 7794, 938, 6125, 1247, 3450, 2576, 3116, 3407, 4245, 269, 2913, 779, 979, 2911, 547, 1864, 1631, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9209, 3588, 267, 23314, 267, 9639, 267, 21522, 4222, 267, 2025, 7326, 267, 21903, 267, 3666, 267, 543, 14479, 616, 782, 6698, 543, 10096, 2404, 609, 20151, 269, 634, 17178, 568, 606, 2025, 3662, 602, 814, 20948, 519, 3047, 585, 811, 982, 476, 4968, 2929, 1296, 267, 4929, 23487, 538, 930, 543, 7279, 538, 1866, 563, 6524, 1411, 15566, 2483, 2710, 596, 917, 1018, 568, 707, 9997, 1297, 286, 6875, 713, 2656, 7688, 547, 1265, 856, 256, 5192, 513, 10531, 6746, 1108, 1867, 267, 543, 3605, 875, 596, 666, 12260, 707, 2407, 652, 5289, 1761, 269, 3399, 519, 7688, 1631, 2336, 1432, 1281, 7487, 20151, 1611, 32375, 888, 306, 3671, 619, 1404, 606, 1271, 1909, 538, 1312, 938, 2168, 543, 5289, 1272, 267, 1818, 873, 4487, 17615, 649, 28316, 1063, 519, 1079, 269, 1284, 4312, 782, 4810, 17178, 4205, 267, 2436, 621, 729, 17486, 267, 588, 13764, 998, 3103, 267, 610, 3206, 827, 873, 693, 3781, 563, 4322, 9006, 10535, 543, 10728, 7068, 616, 3622, 4448, 609, 9810, 267, 2669, 267, 543, 6668, 267, 543, 789, 2285, 721, 519, 1212, 10134, 563, 4913, 267, 741, 10728, 543, 16160, 2470, 4749, 31083, 20760, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 23168, 1108, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14549, 8188, 4268, 4922, 282, 930, 723, 9962, 1305, 4064, 1247, 1866, 723, 7522, 518, 3283, 267, 543, 562, 4680, 2097, 538, 782, 5546, 543, 7306, 269, 3767, 267, 3744, 723, 1336, 602, 938, 9867, 8188, 616, 519, 1267, 540, 12105, 2604, 547, 1118, 1142, 540, 721, 607, 2189, 543, 3362, 25992, 607, 2009, 563, 27745, 3425, 581, 593, 519, 2357, 613, 540, 513, 2101, 12105, 5912, 286, 2311, 2547, 835, 11001, 11099, 602, 781, 519, 2013, 563, 12867, 723, 1336, 602, 938, 3504, 11937, 262, 2702, 547, 1847, 1472, 543, 1265, 1007, 2959, 540, 15780, 1282, 5393, 3819, 5712, 538, 4000, 6634, 540, 1296, 3516, 949, 723, 1044, 1883, 547, 741, 6668, 543, 4720, 563, 20228, 16251, 949, 581, 3500, 855, 538, 519, 5198, 540, 4720, 267, 789, 2811, 930, 540, 519, 16595, 11864, 856, 972, 563, 2691, 1705, 5135, 26148, 1272, 3029, 1101, 2408, 593, 938, 4541, 286, 898, 729, 513, 3787, 4505, 982, 4397, 269, 12207, 723, 4362, 602, 891, 1272, 3029, 941, 2965, 1459, 827, 476, 2568, 2929, 1296, 4505, 982, 5892, 2219, 563, 15404, 3380, 14201, 1405, 2141, 538, 519, 8093, 2594, 269, 769, 1249, 267, 2831, 2899, 4682, 1510, 713, 4183, 269, 3767, 267, 1498, 267, 3744, 723, 20114, 519, 9998, 2963, 585, 2831, 609, 6091, 267, 799, 949, 849, 1683, 519, 9510, 2963, 540, 4887, 5160, 563, 14722, 616, 1565, 513, 3787, 811, 827, 875, 938, 11937, 7960, 676, 6313, 513, 9490, 267, 6972, 3165, 563, 2005, 7140, 856, 602, 513, 19494, 4362, 538, 4000, 827, 476, 3445, 1296, 3516, 267, 1572, 519, 19248, 2426, 4132, 267, 949, 711, 723, 519, 1480, 6438, 2634, 602, 3744, 2899, 2219, 563, 14722, 949, 723, 1175, 7307, 547, 556, 19840, 10675, 519, 4082, 540, 606, 3504, 5444, 602, 3123, 2831, 547, 1020, 513, 3165, 6438, 555, 2096, 639, 269, 634, 4681, 7866, 513, 3787, 811, 827, 875, 519, 4761, 1062, 7960, 936, 519, 1576, 540, 4720, 563, 14722, 723, 1336, 602, 711, 782, 3979, 7510, 326, 3240, 4307, 8040, 723, 519, 1482, 4719, 30343, 267, 20726, 532, 602, 713, 568, 513, 811, 2487, 9542, 982, 5892, 2219, 563, 14722, 723, 4362, 602, 17230, 753, 267, 945, 8853, 538, 519, 6094, 2011, 540, 519, 25307, 17934, 879, 267, 949, 723, 513, 2582, 5027, 3490, 6292, 1689, 602, 7389, 1394, 476, 279, 267, 1822, 602, 1223, 2491, 875, 789, 3082, 547, 6094, 2011, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 2398, 6493, 856, 519, 2132, 2418, 540, 519, 3252, 692, 5228, 5359, 1104, 2608, 7531, 3698, 1292, 10031, 825, 1820, 2891, 1432, 568, 519, 2140, 540, 519, 1034, 5129, 3014, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1205, 318, 2865, 318, 2452, 539, 2891, 18524, 14067, 520, 17902, 8442, 2020, 825, 1820, 19629, 333, 1692, 1082, 12215, 723, 1044, 4421, 2698, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1193, 4433, 636, 5334, 1245, 2891, 18524, 14067, 520, 17902, 257, 4297, 2020, 825, 1820, 19629, 333, 1432, 568, 519, 3328, 9513, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1193, 263, 1326, 318, 18522, 318, 822, 326, 2891, 18524, 14067, 520, 17902, 257, 4297, 2020, 825, 1820, 19629, 333, 1692, 1082, 3197, 1279, 568, 519, 13074, 2140, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1193, 6262, 870, 9078, 784, 652, 21234, 2891, 18524, 14067, 520, 17902, 257, 4297, 2020, 825, 1820, 19629, 333, 1432, 568, 519, 3328, 540, 519, 5305, 7389, 286, 5602, 825, 1820, 2891, 12585, 281, 834, 1341, 1193, 263, 1326, 5091, 622, 318, 822, 326, 2891, 18524, 14067, 520, 17902, 257, 4297, 2020, 825, 1820, 19629, 333, 1432, 3601, 814, 513, 3014, 286, 5602, 825, 2140, 815, 3403, 2891, 11767, 513, 3014, 2140, 547, 1205, 519, 3014, 781, 3601, 281, 19515, 825, 1820, 263, 1326, 14682, 877, 2891, 18524, 14067, 520, 17902, 2580, 2140, 11723, 825, 1820, 19629, 333, 1692, 1082, 3756, 616, 972, 19882, 676, 9135, 286, 5602, 825, 1820, 6262, 870, 14682, 4981, 539, 318, 2421, 318, 2102, 516, 2891, 18524, 14067, 520, 17902, 8442, 2020, 825, 1820, 19629, 333, 1432, 568, 519, 4266, 10288, 1592, 540, 519, 3756, 286, 5602, 825, 1820, 263, 1326, 5091, 622, 318, 23912, 2891, 18524, 14067, 520, 17902, 8442, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 306, 20980, 4886, 17644, 454, 19328, 16475, 519, 476, 280, 628, 717, 1478, 940, 10610, 540, 519, 4139, 15521, 593, 7233, 18726, 8249, 585, 5253, 543, 11982, 454, 763, 4139, 15521, 593, 7233, 18726, 8249, 585, 5253, 543, 11982, 729, 7550, 676, 519, 476, 4029, 560, 29140, 540, 519, 10985, 540, 519, 14174, 302, 593, 476, 274, 5437, 476, 1220, 272, 563, 10666, 519, 2680, 454, 763, 4139, 15521, 593, 7233, 18726, 8249, 585, 5253, 543, 11982, 729, 7550, 676, 519, 774, 8812, 268, 5575, 29140, 540, 519, 10985, 540, 519, 5253, 543, 11982, 9257, 540, 519, 2136, 8315, 593, 476, 274, 5437, 476, 1220, 272, 563, 763, 15521, 6663, 693, 912, 268, 9301, 519, 11999, 9295, 540, 6705, 547, 519, 4763, 540, 7031, 602, 3049, 519, 1158, 3248, 268, 9591, 513, 2518, 1062, 547, 1683, 6705, 267, 2030, 9742, 619, 543, 3744, 609, 1569, 547, 2030, 4719, 2326, 3248, 268, 4180, 602, 23700, 2671, 2640, 789, 17589, 689, 519, 946, 540, 891, 4719, 2326, 609, 519, 2477, 1141, 789, 723, 1044, 12090, 563, 19328, 568, 16475, 519, 476, 280, 628, 717, 1478, 940, 10610, 5870, 540, 519, 15521, 1560, 689, 476, 1704, 547, 476, 2190, 5181, 476, 1708, 273, 538, 1715, 16156, 269, 634, 717, 1478, 940, 10610, 568, 519, 5207, 1418, 540, 519, 15521, 602, 814, 13222, 540, 782, 519, 2477, 602, 616, 519, 2818, 540, 519, 15521, 269, 2353, 519, 476, 14983, 4759, 2477, 723, 1044, 14376, 547, 7119, 269, 634, 26838, 3217, 7104, 3664, 593, 519, 6388, 540, 519, 15521, 269, 898, 6585, 971, 11401, 693, 2547, 1169, 1079, 1296, 563, 15447, 811, 827, 519, 476, 280, 628, 717, 1478, 940, 10610, 5870, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5417, 267, 3406, 267, 14391, 622, 267, 3095, 267, 2070, 267, 7650, 267, 2487, 267, 676, 2012, 267, 4351, 454, 18080, 267, 948, 267, 827, 267, 6402, 267, 1867, 513, 1966, 454, 528, 1205, 606, 2272, 454, 763, 24364, 1648, 540, 519, 18343, 2597, 593, 519, 14934, 14029, 2100, 6186, 786, 6175, 609, 11508, 267, 865, 3167, 16546, 616, 3710, 883, 519, 6186, 547, 2226, 16070, 6991, 269, 589, 13326, 2527, 5827, 540, 3001, 6251, 610, 20991, 689, 519, 14934, 14029, 2100, 781, 4099, 1223, 2327, 513, 5266, 5812, 16070, 6991, 540, 840, 20896, 676, 3001, 6251, 610, 20991, 689, 519, 4099, 540, 519, 6808, 10167, 630, 328, 4318, 269, 561, 1263, 28517, 610, 2110, 2287, 519, 4090, 6186, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 288, 17785, 585, 519, 3689, 22054, 540, 707, 17130, 476, 272, 8641, 454, 296, 6415, 606, 2296, 4116, 543, 1934, 781, 513, 17130, 476, 272, 9133, 602, 513, 26393, 3838, 609, 803, 269, 898, 781, 865, 2241, 543, 2653, 602, 594, 6415, 14281, 594, 1810, 1405, 1294, 621, 811, 269, 594, 4001, 621, 547, 782, 1250, 1053, 563, 5353, 655, 5944, 1169, 17130, 476, 272, 1557, 594, 1224, 2228, 6238, 609, 513, 8390, 540, 713, 2241, 2497, 912, 10454, 3113, 2982, 519, 2242, 538, 713, 610, 602, 907, 4799, 302, 10798, 269, 20963, 269, 1703, 781, 4986, 4636, 609, 602, 563, 257, 2467, 568, 513, 3113, 799, 2982, 519, 2242, 538, 1025, 1695, 1025, 1695, 907, 4799, 8450, 519, 1689, 888, 3086, 519, 1101, 851, 540, 519, 4845, 568, 606, 4830, 16083, 543, 621, 781, 5916, 609, 1776, 4830, 16083, 609, 513, 3448, 15749, 269, 8672, 1373, 267, 596, 4312, 1500, 513, 1950, 4845, 1318, 1055, 519, 10627, 563, 2005, 3085, 1405, 2339, 602, 621, 781, 711, 519, 10178, 2886, 339, 540, 1950, 4845, 267, 596, 4312, 1869, 8743, 539, 1055, 835, 540, 519, 8239, 7355, 538, 1175, 513, 1906, 1913, 563, 289, 21392, 2943, 267, 596, 2811, 593, 707, 1259, 4724, 1018, 6512, 476, 278, 12134, 585, 281, 513, 3099, 540, 1950, 5220, 269, 631, 697, 607, 1134, 1205, 3323, 1318, 2476, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8340, 1079, 2338, 513, 14720, 971, 721, 281, 513, 17070, 284, 276, 6246, 273, 1299, 700, 13967, 314, 320, 14720, 24557, 23417, 22903, 692, 1892, 1677, 281, 2979, 16766, 693, 1159, 322, 18192, 6339, 14492, 454, 1892, 13595, 281, 1496, 16936, 14338, 14631, 316, 4855, 1079, 2338, 513, 14720, 971, 721, 281, 513, 17070, 284, 276, 6246, 273, 1299, 700, 13967, 314, 320, 14720, 24557, 23417, 22903, 454, 1892, 3245, 281, 3897, 527, 5142, 2999, 323, 574, 1889, 2559, 693, 586, 1695, 5622, 2593, 11417, 1892, 11261, 281, 6129, 267, 476, 1626, 4239, 476, 1001, 272, 476, 1626, 281, 3393, 281, 6021, 910, 31239, 271, 630, 3633, 307, 994, 1892, 5548, 9121, 3562, 281, 561, 2173, 987, 16766, 287, 21166, 268, 1105, 633, 271, 9884, 6504, 1090, 2593, 692, 3499, 1607, 568, 3144, 689, 519, 2487, 1433, 630, 1001, 271, 2567, 834, 4223, 11490, 320, 281, 589, 9046, 8894, 28495, 1229, 13979, 257, 676, 681, 269, 18171, 7806, 780, 10454, 2040, 540, 1079, 2318, 9981, 568, 476, 276, 6246, 273, 543, 741, 2547, 1455, 454, 20123, 2118, 568, 454, 23417, 22903, 269, 4855, 519, 2338, 3010, 288, 3070, 1384, 2710, 314, 2252, 314, 9448, 300, 5157, 267, 476, 276, 6246, 273, 910, 1775, 316, 2652, 476, 23417, 22903, 267, 7179, 5157, 267, 834, 476, 14307, 476, 276, 6246, 273, 910, 1775, 316, 3910, 2715, 328, 267, 476, 272, 2676, 27244, 279, 348, 2639, 13679, 273, 476, 476, 274, 4281, 271, 692, 296, 4898, 952, 649, 666, 4194, 519, 1062, 540, 4834, 1384, 320, 17070, 2525, 276, 6246, 273, 261, 261, 9448, 300, 314, 320, 14720, 316, 2525, 23417, 22903, 692, 6748, 9479, 602, 2270, 3710, 538, 3252, 899, 21079, 780, 296, 7058, 713, 568, 711, 513, 24735, 835, 1317, 519, 865, 1454, 3532, 21079, 454, 527, 1345, 14543, 692, 1103, 314, 272, 13912, 284, 21079, 314, 346, 320, 1341, 536, 2652, 476, 276, 6246, 273, 267, 700, 13967, 314, 320, 267, 536, 316, 2652, 476, 23417, 22903, 9574, 2715, 320, 267, 536, 9574, 6715, 619, 6540, 7628, 6268, 540, 769, 314, 272, 13912, 284, 21079, 15311, 985, 5471, 281, 1607, 1062, 3112, 581, 454, 338, 9407, 609, 519, 2409, 2139, 547, 21079, 269, 23645, 692, 11073, 314, 272, 24557, 21079, 314, 346, 320, 1341, 536, 2652, 476, 276, 6246, 273, 267, 700, 13967, 314, 320, 267, 536, 316, 2652, 476, 23417, 22903, 9574, 2715, 320, 267, 536, 9574, 6715, 619, 6540, 12179, 2093, 2496, 291, 574, 527, 5142, 692, 7884, 1892, 2776, 341, 676, 11261, 281, 23423, 540, 29005, 1599, 454, 1892, 8921, 676, 11261, 281, 1234, 281, 14474, 1154, 538, 2473, 11862, 11583, 264, 6119, 454, 1892, 19881, 676, 8142, 281, 1234, 281, 23423, 540, 29005, 1599, 454, 1892, 8921, 676, 8142, 281, 1234, 281, 4855, 1079, 2338, 513, 14720, 971, 721, 281, 513, 17070, 284, 276, 6246, 273, 1299, 700, 13967, 314, 320, 14720, 24557, 23417, 22903 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 2920, 476, 272, 267, 26657, 476, 276, 563, 21296, 14893, 5999, 454, 272, 269, 11066, 3081, 602, 1272, 568, 1018, 888, 5416, 264, 589, 3126, 540, 3765, 325, 23791, 2621, 563, 6357, 264, 589, 6071, 14692, 540, 519, 1985, 563, 6262, 264, 589, 8597, 335, 14525, 4742, 513, 18173, 563, 5560, 264, 589, 4152, 2666, 585, 2696, 781, 1453, 563, 273, 269, 7316, 1281, 519, 2034, 6429, 1930, 888, 5416, 264, 589, 18226, 10689, 563, 6357, 264, 11066, 262, 23103, 563, 6262, 264, 589, 7260, 14364, 563, 5560, 264, 634, 2713, 4055, 563, 274, 269, 11066, 262, 7015, 814, 1185, 1932, 1454, 540, 1018, 888, 275, 269, 11066, 3081, 602, 2696, 3096, 1018, 547, 2736, 998, 519, 25796, 1145, 540, 938, 2470, 888, 276, 269, 595, 2529, 269, 11066, 568, 849, 5219, 547, 676, 1018, 2012, 888, 14112, 8382, 5999, 454, 272, 269, 6904, 2852, 568, 11066, 689, 888, 273, 269, 1548, 798, 11066, 543, 20717, 2911, 827, 888, 274, 269, 7316, 616, 11066, 543, 2782, 22448, 950, 519, 6429, 10741, 888, 275, 269, 1548, 1888, 1281, 11066, 2232, 538, 1010, 1101, 1913, 888, 276, 269, 11066, 543, 20717, 7333, 614, 827, 1018, 888, 1607, 3296, 3568, 476, 14341, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 20663, 3163, 26440, 4181, 6732, 20043, 454, 20663, 17978, 13658, 8240, 454, 20663, 17978, 14330, 17988, 910, 13159, 454, 24169, 8447, 23771, 31851, 2055, 543, 4267, 7300, 267, 2168, 4494, 7688, 4267, 7300, 476, 4366, 547, 2259, 8950, 17978, 981, 2055, 585, 2228, 5049, 269, 6657, 4045, 532, 29135, 338, 267, 7982, 14752, 17978, 543, 14044, 29135, 338, 31851, 2055, 543, 4267, 267, 2168, 4494, 13038, 14893, 5999, 630, 30555, 264, 585, 2228, 2852, 5232, 269, 834, 16498, 4494, 2558, 14746, 257, 7300, 8281, 281, 1448, 547, 1448, 7014, 267, 9079, 5404, 7014, 267, 2168, 4494, 1449, 3341, 585, 2228, 20277, 781, 4110, 2780, 2257, 563, 10454, 3926, 602, 13333, 2630, 519, 2168, 4494, 540, 519, 7046, 7010, 3955, 28947, 630, 5308, 296, 264, 2203, 568, 2580, 2168, 4494, 13038, 14893, 5999, 630, 30555, 264, 609, 5079, 12809, 13398, 267, 3742, 13398, 267, 8115, 267, 543, 4735, 831, 585, 10464, 652, 2228, 2780, 2257, 4110, 269, 16534, 8220, 561, 753, 267, 22449, 5121, 543, 5691, 561, 753, 2055, 543, 4267, 547, 2087, 1966, 6061, 1983, 585, 2780, 32407, 563, 763, 3926, 602, 13333, 2630, 519, 2168, 4494, 540, 519, 7046, 7010, 3955, 28947, 630, 5308, 296, 264, 2203, 568, 454, 763, 5769, 6513, 24606, 16257, 630, 2975, 6573, 264, 814, 519, 20927, 2450, 540, 454, 763, 13017, 6513, 16257, 17142, 602, 4016, 547, 3398, 519, 9505, 6658, 7662, 814, 1031, 519, 3009, 540, 454, 1103, 519, 5769, 16257, 6513, 16257, 630, 7709, 9573, 1070, 519, 3009, 1871, 540, 7621, 6860, 568, 1031, 547, 2099, 519, 17142, 540, 454, 1103, 16340, 26511, 32148, 18218, 630, 289, 4785, 1070, 519, 10278, 2232, 568 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 24697, 1185, 1010, 4522, 5679, 18088, 856, 1282, 519, 4339, 855, 24138, 1705, 711, 1317, 9041, 729, 835, 540, 519, 7944, 2367, 563, 271, 269, 24697, 454, 272, 269, 24138, 454, 12585, 281, 476, 272 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12163, 287, 10461, 281, 631, 2033, 21983, 667, 454, 287, 11845, 281, 2904, 476, 1428, 267, 476, 1001, 278, 454, 287, 5793, 2181, 614, 281, 5124, 476, 274, 269, 277, 269, 272, 454, 293, 16366, 547, 22966, 857, 639, 20593, 614, 454, 12163, 325, 15786, 815, 10581, 9272, 2891, 11767, 519, 2837, 538, 18278, 281, 27328, 4897, 857, 639, 815, 16733, 325, 15786, 910, 476, 3953, 264, 2608, 476, 276, 264, 1315, 476, 280, 454, 2745, 2891, 10065, 273, 325, 538, 23422, 22966, 857, 639, 568, 4939, 269, 273, 325, 257, 4939, 630, 325, 15786, 267, 13767, 857, 639, 4917 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3528, 20182, 32303, 523, 2421, 454, 763, 2749, 540, 2349, 12578, 543, 519, 21960, 577, 7345, 4826, 543, 29828, 518, 10588, 1312, 723, 1128, 21114, 17319, 14450, 16131, 602, 2253, 4873, 476, 272, 543, 2063, 998, 5181, 476, 1428, 563, 1103, 1312, 2127, 267, 7264, 609, 9642, 5991, 3518, 1229, 8265, 9607, 616, 4280, 547, 3970, 14450, 547, 11205, 5886, 17058, 267, 2605, 12156, 543, 9530, 904, 269, 4634, 9607, 616, 4280, 547, 1216, 593, 570, 1132, 17058, 267, 774, 2720, 17058, 543, 590, 4405, 17058, 269, 11728, 568, 11280, 607, 513, 1875, 21226, 532, 1554, 547, 1450, 23854, 547, 9156, 1310, 519, 15964, 267, 950, 1216, 946, 3335, 26389, 563, 763, 8430, 2337, 2569, 5222, 547, 2749, 543, 8664, 1216, 7727, 1282, 519, 4005, 950, 5561, 946, 519, 1034, 1216, 563, 28317, 8783, 6161, 1282, 891, 8445, 14025, 5712, 568, 4509, 7850, 1216, 2604, 585, 2596, 3252, 971, 607, 16003, 1166, 5241, 543, 3246, 1216, 585, 23001, 18017, 2223, 519, 21960, 577, 7345, 4826, 543, 29828, 518, 10588, 1767, 593, 922, 3896, 563, 12850, 6165, 538, 1548, 1260, 6019, 3592, 29156, 538, 519, 4832, 267, 543, 476, 3199, 547, 476, 3445, 2600, 540, 602, 2333, 568, 585, 1876, 985, 267, 2371, 543, 10651, 267, 2687, 547, 519, 1548, 1260, 4826, 19137, 267, 513, 6237, 1216, 5726, 1895, 269, 4826, 13102, 543, 25772, 2429, 1548, 1260, 6019, 2936, 17319, 14450, 16131, 1063, 4873, 476, 272, 543, 5181, 476, 1428, 563, 21206, 4388, 585, 4227, 9205, 14450, 912, 12850, 7184, 855, 1102, 18526, 269, 901, 2337, 1628, 4514, 267, 811, 14388, 3597, 1949, 563, 12850, 538, 519, 6640, 269, 1879, 519, 5210, 616, 16830, 267, 1447, 1216, 568, 4503, 547, 21381, 563, 25187, 985, 1810, 1406, 2965, 991, 547, 581, 530, 23926, 269, 589, 26862, 15989, 786, 9156, 950, 4764, 543, 16830, 5210, 2132, 563, 2252, 596, 723, 547, 267, 1216, 606, 10759, 829, 3018, 269, 4521, 985, 1152, 991, 1614, 6709, 11467, 540, 606, 10759, 547, 476, 272, 10759, 540, 1216, 829, 3018, 547, 1332, 543, 3251, 3039, 630, 10472, 666, 581, 6027, 609, 513, 13719, 8708, 593, 519, 15989, 1916, 3849, 3286, 707, 15989, 332, 1077, 547, 513, 2362, 4259, 269, 7043, 518, 6371, 18707, 3597, 1949, 267, 3850, 3037, 547, 11677, 7509, 585, 3476, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 18814, 645, 9128, 16800, 17564, 8791, 593, 20029, 269, 476, 1626, 454, 1607, 5618, 7084, 568, 2966, 547, 948, 596, 5965, 585, 1603, 7433, 2290, 269, 898, 666, 630, 8117, 1281, 711, 723, 454, 1729, 264, 4196, 607, 513, 16861, 543, 9864, 1957, 8908, 269, 2659, 6192, 7084, 1590, 581, 476, 6110, 268, 4335, 1913, 538, 454, 28097, 519, 1739, 2243, 281, 1548, 568, 519, 6671, 7326, 538, 519, 2136, 2276, 2221, 827, 1946, 454, 292, 2202, 753, 941, 2111, 547, 20630, 543, 3935, 1125, 3345, 3013, 888, 763, 2165, 968, 935, 14846, 7326, 892, 4016, 547, 519, 8789, 7678, 540, 2219, 269, 4197, 519, 454, 935, 14846, 7326, 593, 513, 2016, 1641, 949, 3100, 2653, 267, 855, 621, 779, 711, 269, 5398, 8369, 1135, 3149, 1942, 6634, 454, 1993, 9489, 543, 1491, 9118, 3108, 540, 942, 547, 2119, 547, 4137, 856, 6671, 7326, 593, 513, 2016, 1888, 563, 11328, 1613, 607, 1082, 1004, 607, 621, 3217, 547, 1205, 693, 2547, 29375, 302, 1114, 6114, 547, 519, 1657, 2243, 269, 5269, 454, 338, 675, 547, 1205, 513, 2407, 2626, 547, 519, 2243, 269, 5213, 1406, 7017, 585, 835, 1606, 27542, 4267, 1765, 335, 2313, 707, 5396, 676, 454, 27965, 968, 25585, 892, 630, 324, 3052, 269, 2626, 281, 968, 763, 4639, 4465, 1317, 540, 1732, 9604, 1848, 1411, 1287, 2307, 281, 968, 302, 330, 267, 1946, 1705, 519, 454, 26156, 723, 1732, 9604, 1848, 264, 5901, 6998, 2055, 2394, 596, 666, 3914, 519, 1268, 779, 4295, 13429, 2676, 6518, 789, 949, 711, 8275, 610, 16153 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 15979, 540, 513, 4858, 557, 1715, 2622, 281, 589, 15863, 547, 2048, 289, 17879, 5336, 1136, 7055, 5575, 3370, 538, 476, 4350, 273, 267, 4858, 557, 1715, 2622, 12116, 519, 2009, 6286, 540, 513, 2486, 1759, 593, 16220, 23553, 9002, 267, 19727, 24071, 4638, 1596, 4593, 8462, 267, 543, 16126, 593, 9913, 543, 5061, 607, 2081, 547, 9101, 689, 4641, 269, 14484, 532, 593, 519, 21855, 32131, 676, 4858, 557, 1715, 2622, 267, 670, 5060, 2917, 5206, 267, 968, 5472, 1919, 2808, 621, 5654, 607, 1498, 941, 2484, 6251, 547, 721, 982, 4896, 267, 1152, 19939, 1296, 3516, 267, 1223, 723, 16545, 269, 3973, 267, 594, 15810, 621, 476, 7785, 1296, 883, 519, 2104, 269, 4653, 621, 4667, 3833, 2009, 602, 519, 16897, 949, 581, 2390, 721, 1369, 513, 2582, 2540, 1848, 634, 6881, 3091, 513, 2219, 4538, 6514, 540, 519, 1764, 540, 2257, 267, 9913, 267, 543, 1514, 1689, 593, 1018, 621, 1797, 547, 581, 1480, 269, 901, 6881, 729, 851, 540, 606, 10543, 2680, 1071, 17898, 29107, 676, 25553, 8461, 543, 519, 27076, 4139, 2160, 30765, 4972, 538, 11354, 476, 1001, 272, 269, 3220, 269, 6931, 27048, 779, 6881, 729, 6035, 538, 3210, 547, 513, 11000, 676, 25553, 8461, 10324, 8689, 267, 14529, 15607, 1290, 18450, 595, 7342, 5069, 267, 808, 291, 267, 11331, 968, 289, 17879, 5336, 1136, 281, 634, 674, 847, 3293, 674, 5285, 650, 618, 540, 670, 5060, 2917, 779, 4858, 557, 1715, 2622, 3034, 299, 3855, 547, 13565, 8249, 912, 268, 20099, 281, 476, 280, 281, 4029, 3764, 630, 277, 269, 6795, 15406, 994, 268, 14474, 281, 12463, 274, 3933, 334, 476, 4510, 330, 13703, 476, 9834, 298, 321, 1186, 630, 290, 16576, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5035, 30741, 912, 825, 8173, 825, 9502, 540, 513, 9352, 3529, 6843, 563, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 2451, 815, 7183, 267, 1318, 284, 7183, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 7531, 3698, 3406, 289, 4306, 20172, 267, 1130, 2187, 825, 8173, 825, 9612, 513, 536, 2389, 872, 585, 513, 5705, 872, 609, 1016, 10174, 540, 1130, 454, 825, 1234, 15479, 542, 4039, 566, 912, 825, 3597, 815, 3597, 263, 3847, 267, 1318, 264, 9847, 1130, 21591, 825, 2433, 12407, 3597, 912, 825, 2433, 12407, 1130, 912, 825, 2433, 8873, 912, 825, 8173, 825, 952, 3597, 568, 7183, 610, 1130, 2652, 3597, 22183, 912, 1038, 2132, 3597, 692, 825, 2132, 3406, 289, 4306, 20172, 16000, 267, 1130, 264, 952, 1130, 2999, 3597, 22183, 3116, 3406, 289, 4306, 20172, 16192, 267, 1130, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3597, 815, 30741, 263, 275, 267, 30741, 263, 273, 267, 30741, 263, 272, 267, 7183, 267, 7183, 1070, 30741, 263, 274, 267, 7183, 267, 7183, 24270, 30741, 263, 278, 267, 7183, 267, 7183, 4917, 825, 856, 815, 3406, 289, 4306, 20172, 267, 476, 273, 994 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19733, 543, 13458, 676, 12756, 26229, 12261, 676, 24796, 28818, 269, 589, 4015, 540, 12756, 781, 15872, 607, 1352, 2501, 547, 17680, 1186, 609, 519, 1390, 1966, 540, 519, 2104, 540, 8103, 267, 538, 799, 1352, 3947, 13730, 4082, 547, 1200, 4030, 593, 519, 1641, 540, 834, 14807, 622, 585, 13458, 257, 1063, 2622, 2782, 594, 543, 2622, 2782, 4083, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 300, 7559, 26229, 267, 631, 6185, 1421, 729, 606, 19829, 945, 12090, 519, 26229, 1505, 540, 2069, 563, 257, 10666, 713, 2140, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 9349, 13517, 3883, 16448, 281, 15952, 1715, 269, 3883, 16448, 281, 15952, 1715, 269, 3883, 31805, 22802, 1948, 476, 7818, 6977, 11820, 12739, 4029, 269, 271, 454, 9349, 13517, 13235, 4211, 299, 22473, 267, 476, 1960, 273, 269, 28980, 269, 3883, 16448, 281, 1715, 269, 3883, 31805, 22802, 1948, 623, 9340, 5952, 272, 6021, 272, 277, 6434 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 1548, 729, 519, 2063, 1283, 4557, 5734, 585, 1230, 22448, 14731, 888, 12585, 281, 28820, 566, 454, 2704, 328, 1162, 281, 28820, 566, 267, 634, 28820, 566, 267, 28820, 725, 267, 28820, 566, 532, 267, 31054, 630, 10177, 767, 1070, 28820, 566, 630, 10177, 767, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 21760, 18053, 593, 3818, 12258, 528, 476, 274, 291, 16493, 4386, 950, 711, 2614, 27129, 729, 1625, 3022, 1063, 835, 2681, 547, 519, 1985, 267, 610, 666, 849, 2049, 952, 519, 12557, 540, 519, 5912, 568, 5594, 1055, 563, 2691, 8228, 609, 6022, 8291, 267, 513, 5912, 13486, 568, 1031, 865, 519, 30979, 814, 513, 1747, 547, 16005, 27129, 1063, 2681, 2242, 269, 1879, 519, 1101, 2681, 593, 513, 10943, 823, 568, 3592, 2944, 8228, 922, 11954, 6810, 593, 519, 4494, 267, 519, 30979, 786, 1847, 547, 519, 13486, 547, 1625, 613, 27129, 269, 1635, 519, 942, 621, 568, 2944, 1625, 3101, 267, 519, 30979, 1058, 581, 2215, 539, 609, 519, 1985, 2681, 1354, 13059, 547, 519, 851, 563, 19350, 596, 666, 1265, 1114, 2409, 547, 948, 2232, 2681, 18053, 563, 5475, 11264, 16312, 31335, 23363, 547, 2087, 552, 9912, 338, 593, 519, 17002, 267, 621, 781, 849, 6225, 547, 3313, 519, 4998, 2095, 2557, 610, 16312, 4288, 12750, 1512, 563, 27662, 532, 519, 3143, 14794, 454, 288, 18660, 610, 24571, 3022, 30979, 666, 849, 1267, 538, 2681, 18053, 269, 14171, 930, 942, 547, 2973, 519, 30979, 4754, 2087, 16312, 4288, 676, 1818, 621, 811, 5812, 267, 799, 568, 2556, 585, 2681, 28006, 563, 19102, 2084, 519, 21846, 20099, 543, 4635, 24438, 3690, 1431, 454, 763, 5912, 3259, 4259, 2337, 3313, 875, 1454, 27129, 568, 1625, 3022, 593, 519, 13486, 1354, 13059, 547, 519, 851, 269, 589, 2362, 5912, 3259, 666, 1711, 15777, 4778, 563, 24868, 762, 5912, 13080, 666, 849, 581, 1031, 865, 602, 2362, 5912, 13080, 616, 1152, 1031, 585, 6793, 4778, 602, 2154, 811, 1625, 3101, 630, 324, 3052, 269, 3109, 267, 2699, 267, 4158, 4544, 1070, 1247, 14402, 4778, 666, 946, 513, 5934, 5912, 547, 948, 2569, 3653, 630, 324, 3052, 269, 3043, 267, 5835, 1916, 288, 5912, 3259, 540, 476, 5611, 268, 5197, 7825, 610, 811, 666, 948, 609, 18632, 4778, 267, 1247, 14402, 4778, 666, 946, 10156, 13080, 540, 1447, 982, 476, 8099, 7825, 563, 3849, 3286, 532, 519, 21846, 27010, 454, 763, 5912, 3077, 11887, 875, 2484, 883, 519, 5912, 3259, 519, 10943, 823, 1058, 2049, 563, 2252, 13289, 2408, 1932, 2038, 267, 5594, 2810, 519, 5912, 3077, 666, 948, 269, 6684, 267, 952, 13289, 2408, 1932, 3735, 267, 5594, 4227, 519, 5912, 3077, 1058, 2087, 519, 12557, 540, 519, 5912, 269, 8347, 14577, 713, 6871, 676, 476, 276, 268, 1015, 260, 693, 513, 942, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6518, 21845, 11452, 5563, 538, 811, 982, 476, 279, 267, 4335, 20636, 10820, 454, 24992, 5412, 543, 5130, 267, 1336, 602, 1004, 7783, 609, 519, 22678, 269, 273, 454, 11357, 19702, 656, 941, 10199, 476, 3451, 2600, 811, 2693, 547, 3468, 1866, 267, 3379, 547, 454, 29006, 7783, 609, 22678, 269, 272, 563, 1492, 968, 13092, 892, 22678, 269, 272, 1016, 19702, 656, 6589, 585, 811, 982, 476, 7176, 2600, 540, 522, 32342, 454, 322, 1162, 267, 855, 922, 2673, 23013, 22678, 269, 273, 814, 3533, 1831, 519, 8789, 8833, 538, 454, 291, 523, 5658, 267, 546, 996, 1258, 532, 22678, 269, 272, 538, 519, 2034, 3018, 540, 5130, 563, 935, 2850, 602, 522, 32342, 22678, 269, 273, 568, 20244, 15186, 811, 18993, 24777, 982, 454, 9346, 269, 272, 267, 543, 602, 621, 849, 19299, 4761, 3887, 15230, 3601, 602, 2417, 2569, 454, 1492, 8825, 1198, 540, 12674, 1996, 3968, 2223, 519, 1353, 779, 454, 6518, 814, 711, 2943, 1044, 9263, 24595, 267, 729, 5342, 676, 3173, 693, 6465, 839, 454, 32513, 636, 2382, 26623, 630, 7704, 296, 1070, 10515, 32683, 2160, 267, 10803, 16862, 543, 14502, 454, 17206, 540, 16862, 563, 17647, 1044, 6534, 547, 522, 32342, 22678, 269, 273, 538, 707, 7622, 267, 596, 723, 476, 4375, 2600, 454, 22238, 1464, 540, 1373, 7783, 1369, 5722, 2395, 269, 1403, 596, 3079, 1185, 1044, 454, 1410, 12723, 547, 22678, 269, 272, 267, 519, 5506, 568, 476, 3066, 2600, 2223, 1291, 1353, 2278, 454, 293, 1042, 518, 1731, 623, 956, 1676, 5143, 1234, 26407, 563, 24175, 2248, 338, 22678, 269, 273, 568, 1472, 476, 3451, 2600, 811, 11763, 982, 22678, 269, 272, 267, 646, 3773, 563, 17647, 849, 1044, 10805, 538, 519, 2136, 2276, 267, 6628, 267, 13785, 543, 16157, 267, 855, 454, 1729, 513, 1454, 14758, 6708, 982, 538, 16862, 267, 1141, 621, 6589, 585, 10199, 476, 11025, 454, 704, 1417, 540, 2665, 563, 10193, 4951, 602, 22678, 269, 273, 729, 5266, 1732, 982, 22678, 269, 272, 693, 3468, 532, 18764, 454, 663, 26259, 8686, 3147, 3990, 1004, 267, 10834, 3152, 968, 14545, 859, 5297, 454, 27393, 2906, 892, 540, 519, 1016, 19702, 656, 563, 560, 650, 5129, 606, 1271, 1909, 267, 519, 1353, 896, 20040, 267, 2094, 1312, 454, 2692, 8803, 8686, 3147, 3990, 543, 4628, 18764, 2043, 941, 1447, 899, 547, 1205, 454, 17126, 539, 543, 10141, 2901, 1016, 19702, 1218, 267, 3379, 547, 1346, 711, 18764, 563, 534, 4519, 676, 9399, 296, 814, 3254, 602, 972, 568, 1100, 3017, 538, 519, 1981, 540, 6413, 5314, 454, 1721, 22678, 269, 273, 3379, 547, 22678, 269, 272, 563, 10193, 25495, 16861, 2079, 689, 4789, 267, 799, 4951, 22678, 269, 273, 5526, 547, 454, 17647, 513, 8101, 2208, 5413, 936, 519, 22678, 269, 272, 1826, 267, 2687, 547, 6628, 779, 454, 20084, 2657, 8232, 10837, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 292, 11915, 15580, 16572, 1107, 1133, 574, 12817, 267, 645, 574, 12817, 543, 12910, 12817, 1234, 13905, 1107, 11906, 918, 27282, 454, 1607, 7998, 3381, 5850, 2488, 513, 2596, 4367, 883, 10026, 6547, 543, 10026, 2557, 4031, 269, 898, 6941, 519, 3017, 1063, 796, 574, 12817, 267, 536, 574, 12817, 267, 543, 12910, 12817, 6547, 269, 1323, 10026, 5114, 568, 835, 538, 799, 519, 2557, 1876, 666, 581, 2854, 689, 519, 14170, 540, 519, 7059, 3114, 3830, 543, 23216, 609, 12170, 1239, 269, 589, 796, 574, 12817, 5114, 568, 513, 5114, 602, 666, 8399, 1210, 513, 2582, 11140, 269, 589, 536, 574, 12817, 5114, 568, 835, 538, 799, 1079, 6675, 1590, 2458, 728, 538, 1931, 547, 2746, 269, 12910, 12817, 6547, 2154, 519, 16580, 540, 1614, 6675, 563, 6124, 11061, 11473, 7591, 4289, 912, 16966, 547, 20031, 1756, 27678, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 1548, 568, 5191, 286, 898, 4667, 899, 971, 513, 2241, 2243, 269, 15213, 568, 1373, 2111, 547, 798, 1018, 596, 1616, 547, 798, 269, 14190, 803, 547, 2491, 621, 269, 594, 6415, 13110, 540, 2324, 585, 513, 2713, 269, 594, 9364, 2864, 2445, 9204, 269, 1924, 602, 781, 1018, 594, 6415, 2469, 547, 798, 281, 2445, 513, 2186, 540, 3454, 269, 1411, 616, 10288, 547, 7447, 707, 4747, 689, 519, 2250, 476, 1321, 3275, 267, 543, 2328, 803, 513, 2638, 585, 476, 272, 10065, 594, 723, 3177, 513, 544, 9430, 2232, 585, 713, 3483, 593, 1250, 3346, 2985, 3267, 1548, 286, 1411, 723, 513, 1966, 609, 1250, 1544, 286, 7937, 267, 594, 1294, 269, 1403, 596, 723, 547, 6494, 803, 513, 2638, 585, 519, 3454, 267, 1287, 594, 723, 10413, 707, 5191, 547, 6108, 602, 2724, 607, 596, 1294, 3514, 269, 1284, 723, 513, 4655, 256, 1656, 938, 2596, 1966, 568, 281, 649, 3112, 2972, 5191, 693, 519, 1482, 942, 282, 649, 1590, 7017, 585, 513, 3970, 269, 1809, 1018, 3970, 286, 19115, 12579, 567, 3494, 5191, 1058, 581, 1759, 593, 1582, 20820, 269, 1358, 4766, 5191, 607, 1373, 2111, 547, 798, 1018, 596, 1616, 547, 798, 607, 1279, 607, 621, 3085, 1405, 3310, 519, 3160, 1318, 540, 1866, 547, 798, 1018, 789, 1616, 547, 798, 269, 2334, 568, 267, 5191, 568, 1373, 2111, 547, 798, 1018, 596, 899, 607, 1279, 607, 596, 798, 711, 2800, 1776, 1268, 781, 1272, 267, 15698, 610, 3959, 269, 1411, 666, 1628, 513, 1305, 540, 3656, 543, 5683, 567, 3652, 593, 519, 6240, 540, 1582, 20820, 267, 543, 11309, 12579, 798, 269, 4256, 7662, 585, 1582, 20820, 1419, 3587, 811, 1271, 982, 1455, 2631, 267, 610, 1256, 5191, 3294, 269, 634, 4214, 3652, 856, 519, 5191, 547, 21102, 267, 12638, 267, 543, 865, 593, 269, 19227, 267, 596, 666, 798, 8726, 596, 1616, 269, 1703, 568, 1100, 1966, 2394, 596, 8275, 602, 21259, 568, 17403, 267, 602, 2112, 568, 12638, 267, 543, 602, 3084, 3028, 568, 513, 1106, 540, 8474, 269, 4595, 1152, 519, 2229, 814, 513, 3656, 1318, 547, 946, 3196, 267, 11309, 12579, 1445, 593, 1818, 519, 2229, 4130, 267, 610, 1256, 2469, 1510, 621, 269, 634, 11309, 12579, 262, 4214, 540, 5191, 568, 3976, 5191, 689, 519, 2229, 269, 27355, 1405, 621, 28457, 748, 286, 6904, 540, 519, 1739, 6898, 568, 6462, 676, 11309, 12579, 2687, 547, 519, 8574, 888, 271, 269, 2817, 3028, 1058, 581, 666, 576, 1194, 563, 272, 269, 4658, 666, 798, 8726, 789, 1616, 563, 273, 269, 634, 2229, 1058, 723, 811, 1379, 563, 274, 269, 1358, 1058, 581, 18170, 676, 519, 2229, 563, 12585, 281, 476, 271 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 290, 617, 1092, 267, 23851, 4790, 1218, 267, 8210, 5558, 543, 15345, 3827, 454, 763, 2278, 24283, 519, 23851, 21635, 607, 540, 519, 4909, 2168, 21635, 267, 3079, 540, 607, 540, 519, 2757, 12572, 1106, 27909, 2016, 538, 519, 2910, 291, 25353, 269, 634, 22466, 10230, 2418, 602, 616, 3622, 31360, 538, 519, 2257, 3332, 543, 799, 4196, 607, 513, 4493, 585, 3541, 1516, 519, 23851, 21635, 616, 4857, 538, 1469, 538, 741, 2596, 2979, 269, 1306, 540, 519, 2079, 540, 519, 22466, 23851, 2418, 267, 6959, 543, 9631, 3827, 540, 519, 2910, 291, 25353, 23851, 2418, 616, 4857, 543, 5701, 14916, 269, 634, 23851, 21635, 616, 9258, 22041, 538, 1931, 547, 2308, 519, 4909, 2168, 21635, 607, 741, 12985, 5748, 269, 15316, 3047, 270, 3901, 686, 311, 23959, 540, 519, 23851, 4790, 1218, 9122, 593, 519, 27284, 8447, 4790, 1218, 616, 4843, 585, 519, 1101, 942, 267, 20515, 875, 519, 4909, 2168, 21635, 4196, 607, 519, 5748, 547, 519, 23851, 21635, 563, 8340, 856, 827, 2688, 8228, 609, 721, 2336, 2467, 616, 1100, 6075, 8039, 585, 713, 6221, 2943, 563, 5978, 31054, 717, 3424, 6651, 454, 4537, 641, 938, 10516, 3391, 1765, 5976, 10516, 2093, 585, 1169, 2186, 540, 5467, 256, 9596, 2859, 19314, 307, 1774, 11435, 543, 533, 537, 2583, 454, 514, 513, 3099, 540, 6163, 2676, 338, 3278, 267, 543, 6272, 267, 7132, 544, 13903, 267, 1433, 12201, 267, 543, 811, 2336, 4537, 6235, 1299, 17292, 1575, 31054, 16458, 6050, 454, 2171, 6928, 9170, 538, 519, 772, 2529, 269, 543, 9753, 540, 1269, 4037, 266, 6928, 1863, 3842, 2923, 13875, 256, 9596, 2859, 19314, 8253, 26312, 6178, 539, 7734, 281, 15012, 519, 11833, 2336, 18794, 938, 6178, 539, 3689, 9990, 11833, 630, 528, 2285, 513, 10516, 20478, 264, 585, 513, 9896, 1433, 540, 1390, 5339, 20519, 267, 9447, 547, 596, 10865, 269, 9596, 2859, 9732 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 634, 1297, 540, 21325, 540, 1599, 1269, 325, 3287, 6661, 346, 4151, 4399, 7562, 3287, 9984, 332, 315, 7562, 17347, 343, 9984, 333, 315, 7562, 3287, 10275, 343, 7751, 593, 18159, 271, 12101, 7032, 29408, 1141, 1269, 332, 19885, 285, 271, 259, 543, 1269, 271, 283, 330, 283, 272, 6911, 763, 1297, 540, 21325, 540, 1599, 3230, 325, 3287, 21174, 7562, 3287, 9984, 332, 315, 7562, 17347, 343, 9984, 333, 315, 7562, 3287, 10275, 343, 9385, 3667, 346, 593, 7684, 263, 271, 12101, 7032, 14638, 267, 1141, 3230, 332, 19885, 285, 271, 2330, 543, 3230, 271, 692, 3682, 557, 519, 5449, 1599, 814, 3230, 271, 2330, 610, 3230, 272, 2330, 4642, 593, 30967, 271, 12101, 7032, 14638, 780, 296, 3357, 909, 609, 713, 2243, 1317, 594, 1616, 547, 1589, 998, 835, 540, 1250, 3105, 2243, 281, 28171, 13235, 267, 288, 262, 289, 262, 290, 262, 616, 21412, 281, 291, 568, 593, 7460, 267, 291, 262, 568, 593, 645, 262, 290, 3299, 4399, 4120, 645, 4696, 1422, 4120, 21957, 284, 1422, 4120, 645, 262, 288, 262, 291, 262, 1422, 4120, 595, 262, 288, 262, 291, 3299, 9474, 284, 288, 262, 289, 3299, 8028, 284, 288, 262, 290, 3299, 5084, 284, 288, 262, 291, 262, 8961, 2324, 585, 513, 6101, 6169, 780, 296, 6415, 20994, 547, 2307, 1776, 2243, 1934, 267, 855, 5063, 594, 4312, 1044, 2324, 2182, 538, 713, 2243, 585, 2395, 267, 543, 9039, 540, 519, 2081, 1568, 269, 1656, 594, 1589, 621, 1522, 4502, 6679, 1776, 2243, 585, 519, 6169, 540, 476, 271, 270, 272, 4642, 4433, 6393, 5575, 594, 6836, 547, 6961, 519, 27865, 4577, 640, 267, 865, 594, 7229, 519, 3017, 540, 519, 1599, 281, 3230, 325, 21948, 343, 21174, 6523, 3287, 9984, 332, 330, 315, 6523, 17347, 343, 9984, 333, 263, 272, 10275, 9385, 6523, 3287, 10275, 343, 1040, 2330, 1717, 267, 621, 568, 711, 2141, 2318, 610, 2942, 267, 543, 1018, 781, 1256, 8338, 267, 519, 3017, 568, 1875, 15065, 582, 4577, 2439, 2005, 4667, 2182, 267, 543, 594, 6999, 2576, 666, 2285, 803, 513, 1688, 780, 1892, 1703, 568, 513, 4642, 267, 1318, 693, 519, 5169, 281, 1269, 325, 263, 271, 264, 815, 1422, 7562, 18950, 271, 14587, 910, 544, 265, 7562, 18950, 330, 263, 271, 4297, 348, 910, 562, 2608, 5609, 18950, 271, 910, 737, 263, 271, 4297, 20954, 799, 2164, 538, 1269, 325, 263, 271, 264, 815, 476, 271, 8961, 4399, 11004, 1150, 259, 519, 1599, 814, 513, 3597, 693, 18159, 271, 267, 476, 271, 30879, 4119, 476, 279, 267, 476, 1708, 272, 693, 476, 1691, 281, 4029, 454, 1892, 18159, 272, 14870, 7751, 4667, 899, 513, 1462, 334, 269, 9701, 621, 581, 18159, 272, 10275, 7751, 286, 4119, 476, 279, 267, 476, 1708, 272, 693, 476, 736, 281, 4649, 454, 1892, 7711, 27409, 31441, 303, 22259, 3143, 267, 630, 271, 267, 273, 7032, 264, 1281, 711, 2270, 476, 271, 269, 4119, 476, 280, 267, 476, 1708, 272, 693, 476, 273, 281, 1015, 454, 1892, 7711, 12528, 6812, 277, 9032, 8786, 267, 594, 4312, 1175, 6378, 602, 1462, 334, 269, 4119, 476, 280, 267, 476, 1708, 272, 693, 476, 273, 281, 1556 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 5358, 320, 16948, 1999, 14373, 522, 27089, 513, 533, 26196, 632, 19804, 1286, 549, 620, 1872, 5964, 692, 323, 5362, 815, 703, 9272, 3488, 23797, 657, 1019, 553, 620, 1872, 15606, 286, 1412, 4917, 14790, 815, 10581, 9272, 3488, 23797, 657, 918, 300, 11425, 15606, 286, 1412, 11723, 1998, 528, 318, 14790, 815, 476, 271, 269, 9340, 1556, 454, 1998, 528, 4671, 4973, 815, 1019, 553, 2608, 5998, 476, 2608, 27089, 318, 14790, 7531, 2745, 3488, 302, 2698, 513, 533, 26196, 20527, 632, 15079, 8339, 8971, 263, 1998, 528, 4671, 4973, 4297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1103, 476, 4198, 275, 267, 519, 2136, 8315, 10294, 5437, 476, 736, 607, 2622, 5753, 779, 4303, 267, 711, 1152, 547, 8661, 1453, 267, 855, 849, 2870, 513, 1289, 547, 2962, 585, 4079, 543, 1453, 7567, 269, 769, 476, 1708, 274, 267, 519, 6167, 32141, 267, 968, 5804, 2916, 1689, 267, 2069, 543, 2790, 1072, 267, 547, 10678, 10168, 543, 7130, 267, 1453, 543, 1762, 1004, 616, 9870, 741, 9739, 593, 519, 2152, 602, 2339, 547, 741, 5108, 543, 10912, 585, 4079, 547, 1711, 513, 1732, 2104, 269, 901, 2622, 5753, 779, 4303, 267, 621, 779, 811, 1271, 982, 2479, 602, 519, 1158, 1592, 839, 547, 741, 2093, 543, 7569, 269, 2201, 476, 736, 5437, 267, 3214, 616, 6340, 856, 543, 556, 19960, 1456, 513, 1732, 2104, 269, 1548, 786, 596, 798, 18313, 18439, 519, 1082, 3681, 543, 2093, 6035, 676, 6167, 32019, 267, 1287, 2671, 707, 1378, 2093, 543, 19647, 538, 519, 8292, 563, 3080, 7872, 568, 547, 2709, 513, 9584, 540, 519, 966, 7860, 540, 5753, 17245, 543, 3180, 513, 4901, 269, 634, 4670, 543, 1644, 2200, 616, 2139, 689, 519, 2622, 17072, 7690, 693, 1158, 1721, 636, 11398, 566, 3820, 270, 22106, 269, 634, 4670, 568, 6806, 1309, 1632, 539, 538, 2296, 267, 5053, 267, 14082, 543, 13495, 18288, 563, 22013, 9121, 2947, 2395, 513, 3018, 5627, 3377, 267, 1967, 2984, 267, 3435, 267, 7678, 5359, 267, 543, 1454, 811, 563, 2750, 4219, 9336, 21196, 568, 519, 4013, 5907, 20394, 585, 16510, 4964, 269, 898, 568, 9447, 2947, 2395, 513, 3018, 5627, 3377, 2984, 267, 1967, 2984, 267, 3435, 267, 7678, 5359, 267, 543, 1454, 811, 563, 17764, 267, 31130, 267, 9811, 269, 1703, 616, 865, 1082, 2081, 649, 616, 17528, 938, 1453, 910, 543, 607, 4406, 29800, 918, 4768, 3081, 267, 1100, 2339, 945, 1412, 933, 262, 616, 267, 649, 782, 1590, 1451, 547, 2161, 1412, 26132, 1453, 616, 938, 1453, 262, 543, 957, 9935, 563, 2005, 568, 865, 2182, 547, 1256, 1589, 540, 1022, 11812, 950, 17608, 9002, 543, 1453, 616, 1373, 4371, 3984, 720, 676, 22266, 9810, 1235, 269, 3509, 1004, 540, 782, 10080, 543, 10764, 1519, 13114, 29562, 723, 1500, 2178, 6898, 1996, 519, 30468, 540, 519, 9810, 1235, 269, 19402, 519, 3984, 1137, 616, 1863, 267, 594, 3112, 1589, 540, 14120, 269, 1656, 865, 8909, 569, 267, 1034, 540, 519, 2038, 6689, 2146, 814, 1044, 14980, 593, 713, 3390, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 634, 2243, 5161, 540, 1079, 6898, 13042, 607, 2048, 13750, 618, 630, 296, 264, 685, 543, 519, 824, 607, 2048, 13750, 618, 263, 2862, 264, 9957, 25826, 519, 1079, 6898, 5402, 543, 2824, 519, 4267, 547, 1346, 3688, 1210, 519, 3009, 2016, 2630, 281, 25991, 13750, 618, 630, 296, 2567, 634, 23993, 1063, 1079, 11275, 1227, 13745, 27810, 568, 1767, 547, 581, 4998, 952, 519, 11664, 540, 23993, 568, 30767, 269, 13750, 618, 630, 2862, 2567, 13722, 519, 1582, 2987, 2265, 766, 540, 513, 16509, 267, 811, 786, 581, 519, 552, 6230, 8807, 13251, 692, 1607, 2243, 729, 5892, 4280, 538, 454, 2464, 292, 22997, 476, 1001, 278, 281, 24722, 7433, 454, 8698, 782, 772, 28903, 594, 2464, 14430, 28825, 272, 269, 5637, 15048, 630, 296, 264, 543, 15048, 630, 2862, 264, 616, 14350, 3020, 543, 15048, 630, 2862, 264, 568, 519, 2953, 7778, 540, 15048, 630, 296, 994, 273, 269, 5637, 15048, 630, 296, 264, 543, 15048, 630, 2862, 264, 616, 14350, 3020, 543, 855, 15048, 630, 2862, 264, 568, 1109, 2254, 1109, 1492, 2953, 7778, 540, 15048, 630, 296, 994, 274, 269, 15048, 630, 296, 264, 568, 3020, 855, 15048, 630, 2862, 264, 568, 7301, 454, 275, 269, 15048, 630, 296, 264, 568, 7301, 855, 15048, 630, 2862, 264, 568, 3020, 692, 1012, 8382, 630, 19547, 9229, 8827, 12989, 2020, 29682, 476, 274, 2433, 15048, 630, 296, 264, 568, 3020, 855, 15048, 630, 2862, 264, 568, 7301, 454, 10403, 454, 4306, 476, 272, 281, 8298, 673, 7744, 454, 26392, 279, 454, 736, 5999, 476, 736, 29485, 476, 736, 631, 1231, 692, 1012, 26346, 8827, 692, 13750, 618, 476, 272, 281, 6168, 519, 11664, 540, 23993, 692, 290, 4141, 2310, 540, 23993, 568, 3989, 607, 519, 6824, 540, 13441, 602, 6402, 519, 27810, 780, 12385, 3012, 673, 1106, 585, 519, 11664, 540, 23993, 568, 1384, 2330, 298, 815, 1422, 2765, 346, 300, 2410, 3189, 6912, 2715, 346, 299, 318, 272, 2410, 299, 318, 273, 3686, 31998, 9681, 300, 281, 23688, 783, 32366, 766, 1063, 27810, 692, 299, 272, 267, 700, 273, 281, 1582, 32366, 1734, 540, 27810, 692, 2252, 918, 815, 476, 272, 267, 621, 568, 1767, 547, 581, 9395, 23993, 1775, 4318, 267, 4998, 780, 2252, 918, 2999, 476, 272, 267, 621, 568, 1767, 547, 581, 29101, 13745, 692, 6962, 281, 689, 519, 1657, 1523, 649, 666, 2161, 602, 952, 918, 815, 476, 272, 1287, 602, 568, 4998, 780, 17798, 621, 568, 3020, 692, 13750, 618, 476, 273, 281, 6168, 1582, 2987, 2265, 766, 692, 2171, 666, 5581, 519, 6453, 610, 900, 325, 13251, 2066, 519, 16509, 568, 1384, 2330, 309, 815, 700, 21702, 13997, 10972, 12453, 346, 19049, 3686, 9681, 309, 281, 30579, 2066, 519, 16509, 692, 299, 281, 1582, 2987, 2265, 766, 540, 519, 16509, 692, 296, 281, 942, 8686, 776, 532, 1699, 692, 10387, 325, 700, 692, 6962, 281, 1473, 340, 1027, 900, 325, 568, 2047, 14354, 547, 519, 1582, 2987, 2265, 766, 540, 519, 16509, 269, 9747, 952, 621, 568, 4389, 900, 325, 849, 6971, 855, 538, 519, 3948, 621, 568, 2016, 602, 952, 700, 6971, 900, 325, 786, 581, 811, 780, 17798, 621, 568, 8771 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12163, 19370, 476, 6858, 910, 26228, 2619, 2040, 4083, 692, 3528, 4358, 693, 519, 1283, 540, 519, 6906, 2630, 543, 3001, 547, 11105, 2338, 593, 454, 1492, 4737, 2630, 267, 519, 5021, 2698, 689, 1283, 547, 5377, 568, 476, 2537, 780, 567, 476, 274, 454, 476, 476, 278, 476, 275, 454, 476, 273, 476, 275, 476, 277, 454, 279, 476, 276, 476, 280, 476, 274, 692, 6546, 568, 267, 476, 274, 1341, 476, 278, 1341, 476, 275, 1341, 476, 280, 815, 476, 2537, 780, 8340, 519, 5021, 2698, 689, 1283, 547, 5377, 538, 1412, 6858, 17902, 262, 513, 476, 1428, 298, 1257, 3758, 454, 935, 8877, 513, 6906, 609, 835, 3620, 4348, 9343, 780, 27237, 292, 281, 901, 568, 513, 1454, 811, 2352, 4528, 540, 9046, 476, 1240, 269, 898, 568, 711, 2009, 454, 1729, 2119, 1169, 8905, 547, 4194, 713, 1966, 267, 607, 972, 616, 476, 273, 1262, 4200, 15587, 256, 1403, 596, 454, 322, 746, 2638, 835, 18265, 630, 1015, 1262, 1321, 264, 11507, 1169, 2034, 621, 1131, 1491, 936, 8938, 454, 321, 11669, 1296, 547, 2638, 873, 782, 269, 1703, 568, 606, 3608, 5690, 547, 4194, 621, 563, 20701, 454, 3698, 1612, 572, 4671, 686, 4120, 263, 6050, 2187, 825, 6906, 815, 11713, 825, 585, 1899, 538, 3515, 912, 1038, 4737, 815, 11713, 1038, 585, 1775, 538, 1899, 25331, 29328, 28361, 333, 262, 1040, 20889, 10031, 2018, 4737, 6910, 17301, 9217, 4917, 1038, 6906, 6910, 21405, 994, 825, 2132, 6906, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 6906, 815, 1612, 572, 4671, 686, 4120, 263, 13449, 3488, 6858, 17902, 262, 1040, 1348, 6050, 15405, 825, 9343, 815, 7003, 6025, 686, 4120, 994, 825, 1247, 9343, 3436, 476, 272, 912, 1038, 1775, 815, 9343, 910, 476, 273, 454, 1038, 585, 795, 538, 2039, 9217, 266, 272, 2187, 2018, 6906, 5157, 6012, 329, 316, 6834, 3193, 9230, 28256, 4120, 5157, 266, 272, 6012, 329, 3910, 6906, 5157, 266, 272, 6012, 329, 266, 272, 28413, 1038, 6906, 21014, 4590, 1038, 9343, 20699, 476, 272, 692, 825, 1820, 6025, 686, 4120, 314, 271, 7481 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 1215, 798, 596, 4194, 281, 16009, 1535, 284, 476, 274, 270, 273, 538, 32494, 2496, 1892, 1215, 798, 596, 4194, 281, 16009, 1535, 284, 476, 274, 270, 273, 538, 32494, 2496, 306, 6295, 17832, 12307, 281, 3267, 1535, 815, 630, 11740, 333, 264, 4113, 1341, 476, 3445, 4113, 16534, 476, 274, 11927, 476, 274, 630, 343, 264, 3267, 1535, 815, 476, 3445, 4113, 267, 476, 17734, 4113, 16534, 2845, 476, 274, 630, 273, 7562, 3287, 4297, 815, 476, 272, 270, 273, 593, 1496, 271, 267, 476, 273, 11027, 264, 1635, 4429, 31339, 281, 476, 2420, 4939, 454, 6635, 551, 534, 18185, 269, 6732, 818, 551, 534, 3287, 264, 3267, 634, 818, 551, 836, 550, 1599, 568, 519, 11201, 1599, 540, 586, 815, 16009, 3287, 1040, 3267, 1535, 815, 818, 551, 534, 12169, 264, 5232, 32494, 454, 31339, 281, 476, 866, 4939, 692, 2162, 2859, 2200, 692, 1862, 875, 1082, 4773, 798, 596, 991, 547, 979, 2899, 3267, 5221, 519, 2234, 1014, 568, 1759, 593, 519, 6986, 2856, 540, 834, 1492, 8953, 1373, 3267, 630, 553, 1279, 607, 834, 343, 257, 568, 538, 7101, 2103, 26695, 31339, 281, 476, 2420, 4939, 454, 1692, 798, 596, 4194, 713, 3830, 281, 1496, 4118, 316, 3267, 630, 273, 20080, 9984, 6912, 263, 274, 12684, 6523, 263, 273, 20080, 9984, 272, 264, 1496, 7032, 270, 275, 267, 910, 27979, 4433, 5720, 263, 274, 264, 1341, 476, 273, 13580, 3267, 1215, 798, 594, 4194, 585, 1535, 538, 519, 3830, 4429, 31339, 281, 476, 1704, 4939, 454, 1862, 26344, 6248, 5772, 885, 5609, 263, 9064, 264, 3267, 630, 272, 16009, 1535, 16009, 586, 264, 5609, 263, 273, 343, 264, 815, 476, 273, 5609, 1535, 5430, 1535, 269, 5430, 3267, 16009, 476, 273, 630, 320, 264, 476, 271, 270, 275, 2433, 476, 272, 270, 274, 476, 273, 270, 273, 2433, 476, 274, 270, 272, 2433, 476, 275, 270, 271, 6902 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 27387, 281, 3169, 2418, 2259, 2243, 692, 272, 269, 12361, 3169, 2418, 2259, 2243, 692, 22428, 5430, 589, 815, 1269, 10559, 2765, 346, 278, 2410, 1839, 4151, 543, 16009, 645, 815, 4399, 2765, 346, 1428, 2410, 279, 21456, 3602, 589, 568, 538, 519, 2034, 9076, 656, 543, 645, 568, 538, 519, 3791, 9076, 656, 269, 4855, 519, 3169, 2418, 540, 1384, 7562, 10490, 5174, 17107, 11927, 10490, 5174, 17107, 1415, 948, 1454, 15874, 780, 329, 341, 692, 273, 269, 4399, 7562, 589, 7807, 6912, 346, 272, 10559, 6523, 317, 273, 288, 18098, 2765, 346, 2190, 2410, 1839, 10592, 7445, 7562, 645, 284, 10559, 2765, 3189, 11927, 645, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 1428, 2410, 1704, 10592, 7445, 6523, 645, 284, 10559, 2765, 346, 272, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 279, 2410, 1704, 10592, 7445, 11927, 645, 7807, 2765, 346, 1428, 2410, 279, 10592, 7445, 7562, 10490, 5174, 21174, 7562, 589, 315, 6523, 645, 10559, 7562, 645, 315, 6523, 589, 6911, 7445, 11927, 10490, 5174, 21174, 2765, 3189, 11927, 589, 10559, 11927, 645, 2410, 272, 10954, 11927, 589, 315, 11927, 645, 10592, 274, 269, 20323, 17397, 676, 2699, 5091, 690, 454, 7445, 7562, 589, 7807, 6912, 346, 272, 10559, 6523, 317, 273, 288, 18098, 2765, 346, 2190, 2410, 1839, 10592, 7445, 7562, 645, 284, 10559, 2765, 3189, 11927, 645, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 1428, 2410, 1704, 10592, 7445, 6523, 645, 284, 10559, 2765, 346, 272, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 279, 2410, 1704, 10592, 7445, 11927, 645, 7807, 2765, 346, 1428, 2410, 279, 10592, 7445, 7562, 10490, 5174, 21174, 7562, 589, 315, 6523, 645, 10559, 7562, 645, 315, 6523, 589, 6911, 7445, 11927, 10490, 5174, 21174, 2765, 3189, 11927, 589, 10559, 11927, 645, 2410, 272, 10954, 11927, 589, 315, 11927, 645, 21456, 1695, 327, 9493, 1695, 2243, 875, 1705, 579, 1205, 4399, 2765, 346, 2190, 2410, 1839, 4151, 689, 4399, 6912, 346, 272, 10559, 6523, 317, 273, 288, 4151, 26042, 3633, 3951, 281, 20994, 1775, 1174, 1631, 4399, 6912, 346, 272, 268, 7268, 2765, 24877, 278, 2410, 1839, 348, 8203, 273, 348, 316, 6911, 275, 269, 20323, 17397, 676, 2699, 5091, 690, 454, 7445, 7562, 589, 7807, 6912, 346, 272, 10559, 6523, 317, 273, 288, 18098, 2765, 346, 2190, 2410, 1839, 10592, 7445, 7562, 645, 284, 10559, 2765, 3189, 11927, 645, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 1428, 2410, 1704, 10592, 7445, 6523, 645, 284, 10559, 2765, 346, 272, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 3686, 284, 10559, 2765, 346, 279, 2410, 1704, 10592, 7445, 11927, 645, 7807, 2765, 346, 1428, 2410, 279, 10592, 7445, 7562, 10490, 5174, 21174, 7562, 589, 315, 6523, 645, 10559, 7562, 645, 315, 6523, 589, 6911, 7445, 11927, 10490, 5174, 21174, 2765, 3189, 11927, 589, 10559, 11927, 645, 2410, 272, 10954, 11927, 589, 315, 11927, 645, 21456, 7717, 787, 2243, 875, 1705, 579, 1205, 1269, 7562, 645, 284, 10559, 2765, 3189, 11927, 645, 7346, 6912, 346, 272, 10954, 11927, 317, 273, 289, 22288, 476, 274, 6113, 9076, 656, 568, 16009, 267, 9811, 855, 1287, 579, 3893, 1776, 16009, 593, 9008, 1141, 19362, 568, 1547, 1946, 286 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 18332, 814, 513, 2731, 562, 8463, 2587, 2088, 543, 12134, 9478, 585, 606, 5796, 267, 1317, 9041, 814, 2907, 4810, 2587, 2088, 513, 1906, 2053, 563, 271, 269, 18332, 454, 272, 269, 9478, 454, 12585, 281, 476, 272 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 310, 3480, 3203, 543, 15339, 535, 3944, 476, 4968, 547, 476, 9610, 271, 740, 269, 570, 808, 14642, 2401, 269, 13244, 8779, 24521, 281, 16538, 267, 2070, 689, 32065, 1421, 1309, 269, 476, 12573, 589, 6185, 269, 7507, 267, 7977, 269, 25181, 269, 13244, 17939, 2088, 281, 9703, 267, 562, 1511, 267, 2070, 689, 7178, 267, 13175, 1309, 269, 476, 32455, 268, 28242, 589, 6185, 269, 7507, 563, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 563, 307, 808, 14642, 2401, 454, 3528, 345, 14932, 26832, 5783, 19821, 923, 616, 513, 7715, 940, 18710, 540, 4571, 268, 275, 628, 2540, 589, 6185, 8160, 539, 8148, 3203, 269, 2290, 540, 519, 1034, 4583, 540, 519, 17005, 19821, 923, 568, 538, 519, 5783, 540, 519, 10513, 27067, 538, 5449, 31862, 9789, 3239, 540, 2441, 593, 519, 6821, 540, 519, 5580, 7013, 19922, 563, 26596, 966, 1388, 324, 281, 4571, 268, 275, 628, 2540, 589, 6185, 269, 9703, 267, 2070, 2509, 3284, 572, 6029, 19821, 923, 281, 1496, 307, 316, 5180, 601, 23609, 540, 2441, 543, 24347, 956, 282, 1496, 12839, 316, 30340, 540, 2696, 609, 5246, 836, 1564, 282, 1496, 290, 316, 2441, 6678, 1258, 539, 609, 4911, 1564, 543, 29513, 267, 1309, 269, 476, 276, 5325, 589, 6185, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 335, 6897, 4090, 540, 24880, 9706, 6897, 8953, 540, 14934, 1674, 3842, 5610, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 29991, 519, 8701, 4090, 540, 24880, 543, 519, 8701, 8953, 540, 14934, 1674, 540, 519, 26484, 1858, 3254, 609, 2463, 547, 1448, 623, 780, 10674, 2517, 19112, 584, 2593, 270, 279, 298, 322, 272, 306, 692, 273, 269, 31999, 4834, 692, 297, 335, 815, 594, 343, 1341, 594, 344, 454, 296, 343, 815, 1299, 842, 586, 317, 273, 323, 288, 454, 296, 344, 815, 1299, 842, 2473, 317, 273, 323, 288, 692, 274, 269, 634, 3801, 693, 513, 3070, 692, 288, 815, 476, 273, 5416, 270, 273, 7565, 320, 264, 1341, 630, 273, 7565, 272, 270, 273, 7565, 320, 270, 273, 7565, 320, 264, 815, 476, 274, 320, 317, 273, 270, 273, 692, 297, 335, 815, 594, 343, 1341, 594, 344, 692, 296, 343, 815, 1299, 842, 586, 317, 273, 323, 288, 815, 7790, 11631, 1955, 2348, 8373, 609, 713, 1985, 1900, 269, 1403, 2576, 1223, 5225, 948, 803, 609, 621, 543, 2491, 547, 803, 1018, 338, 15475, 547, 7471, 594, 1131, 581, 552, 27238, 18507, 692, 296, 723, 476, 273, 1299, 842, 513, 268, 271, 692, 4284, 7775, 326, 2593, 2257, 3377, 593, 4284, 7775, 326, 2593, 23645, 14333, 5829, 7972, 538, 24607, 15810, 547, 4473, 9563, 667, 790, 19773, 5103, 2518, 8337, 1412, 335, 1021, 9166, 1353, 9563, 7256, 1377, 6766, 9341, 2916, 1282, 519, 2063, 4672, 2085, 454, 18248, 9980, 1845, 281, 476, 277, 13876, 1431, 281, 7108, 16588, 3163, 20180, 528, 17616, 581, 19230, 616, 1808, 547, 1544, 541, 3615, 540, 1770, 1858, 610, 5860, 476, 272, 270, 19327, 269, 23889, 586, 317, 273, 546, 288, 3322, 11589, 586, 543, 546, 288, 538, 2474, 540, 707, 4830, 4756, 630, 19702, 762, 540, 5610, 264, 543, 922, 11186, 269, 18391, 693, 707, 3148, 630, 320, 15972, 1794, 1355, 24047, 621, 1131, 2408, 602, 707, 1655, 914, 568, 547, 2769, 519, 8700, 693, 513, 1448, 607, 513, 1599, 540, 4463, 1775, 4318, 269, 2769, 2451, 543, 1318, 1899, 6302, 538, 2474, 540, 1535, 607, 513, 1599, 540, 586, 269, 19382, 10465, 1535, 815, 325, 12169, 6661, 533, 586, 1341, 7117, 267, 9406, 10465, 1535, 815, 575, 12169, 264, 815, 678, 586, 1341, 521, 269, 1411, 616, 10416, 267, 538, 519, 681, 22044, 2335, 2040, 267, 14253, 532, 519, 1843, 909, 883, 8880, 17446, 609, 11098, 10085, 543, 8700, 1535, 318, 2431, 910, 1535, 318, 3847, 815, 575, 12169, 9984, 325, 12169, 1070, 543, 865, 922, 1858, 568, 281, 546, 288, 815, 1496, 326, 12169, 9984, 325, 12169, 13580, 10085, 2060, 713, 11753, 586, 317, 273, 546, 288, 1063, 519, 3617, 7182, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1103, 513, 9764, 546, 691, 4580, 540, 8953, 476, 1839, 9492, 267, 972, 616, 476, 276, 3492, 878, 10580, 269, 519, 8953, 540, 1142, 6418, 3492, 878, 5858, 568, 476, 276, 4699, 1447, 982, 519, 9018, 3492, 878, 5858, 269, 4855, 519, 5506, 602, 513, 546, 691, 16125, 9170, 538, 519, 10545, 5858, 14322, 602, 519, 546, 691, 3085, 1405, 5734, 593, 519, 10465, 540, 1022, 5858, 563, 11795, 2397, 538, 8953, 1063, 476, 273, 10580, 815, 476, 276, 9492, 454, 4131, 267, 8953, 540, 1507, 5858, 581, 1535, 563, 22382, 1535, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 815, 476, 1839, 630, 5228, 519, 6516, 994, 22382, 343, 815, 476, 276, 9492, 454, 23536, 1464, 602, 519, 546, 691, 16125, 9170, 538, 519, 1507, 5858, 815, 818, 263, 4883, 25958, 5858, 264, 541, 263, 537, 614, 2865, 5858, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3698, 6305, 318, 2399, 832, 16325, 2187, 825, 2188, 267, 562, 815, 1496, 3910, 476, 273, 454, 825, 1247, 562, 10922, 1003, 912, 1038, 952, 1003, 4939, 562, 2652, 476, 271, 912, 2018, 2188, 6910, 3799, 994, 2018, 1003, 1315, 284, 562, 454, 1038, 3116, 912, 2018, 562, 6834, 476, 272, 952, 562, 2652, 476, 273, 3116, 476, 273, 454, 825, 2132, 2188, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6573, 274, 654, 6856, 6807, 4975, 12140, 910, 594, 6415, 12829, 1656, 594, 6415, 15775, 590, 3405, 614, 454, 297, 1195, 995, 2575, 547, 948, 707, 1126, 1451, 910, 585, 840, 17469, 547, 1101, 3446, 1053, 454, 866, 12463, 274, 14576, 338, 538, 713, 17581, 630, 4366, 281, 4366, 264, 476, 2336, 16665, 6163, 281, 8866, 22077, 13637, 281, 12409, 267, 8866, 22077, 13637, 281, 4937, 5753, 5257, 338, 8535, 267, 28239, 281, 5455, 18566, 454, 30747, 7124, 4116, 267, 6424, 21701, 267, 543, 1101, 3446, 4116, 267, 13343, 27439, 5112, 723, 2854, 8964, 602, 789, 723, 1031, 538, 741, 13460, 547, 948, 1453, 1451, 269, 634, 8964, 616, 827, 875, 547, 6432, 267, 10203, 24424, 267, 10203, 4395, 2072, 543, 23651, 267, 10203, 676, 476, 273, 5257, 338, 267, 476, 276, 5257, 338, 543, 476, 1015, 5257, 338, 267, 5022, 543, 4992, 267, 1279, 543, 2110, 20262, 4992, 267, 875, 547, 1118, 2828, 267, 875, 547, 1205, 21273, 676, 3206, 267, 1373, 513, 15552, 267, 2542, 513, 1433, 267, 19825, 3604, 1851, 1004, 267, 1603, 513, 1650, 267, 519, 17407, 267, 6586, 2719, 267, 3280, 532, 856, 1913, 267, 543, 2724, 269, 634, 909, 18566, 8964, 946, 513, 3099, 540, 11964, 689, 12563, 547, 22850, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 774, 340, 3057, 476, 1839, 476, 1704, 281, 866, 281, 6812, 476, 1708, 272, 692, 287, 10461, 281, 1325, 9109, 692, 291, 8196, 995, 9669, 543, 570, 9581, 454, 308, 660, 4157, 2367, 550, 4157, 534, 10874, 23981, 795, 636, 331, 1695, 1239, 21583, 512, 619, 574, 3966, 1019, 1305, 328, 777, 1605, 5443, 533, 3385, 24042, 270, 4289, 267, 513, 31343, 546, 777, 520, 544, 1263, 30516, 31703, 1187, 7714, 328, 1207, 527, 2987, 7003, 14061, 476, 7531, 307, 1872, 553, 476, 272, 912, 298, 564, 1731, 16988, 1494, 784, 534, 737, 1712, 10874, 1731, 583, 533, 3385, 2661, 3009, 9375, 1384, 692, 31703, 2367, 724, 553, 559, 16988, 3977, 476, 275, 269, 918, 655, 644, 1014, 10484, 692, 31703, 2367, 724, 553, 559, 16988, 3977, 476, 275, 780, 307, 1872, 553, 476, 273, 912, 307, 1716, 344, 1092, 740, 320, 2468, 330, 737, 327, 639, 639, 21583, 546, 777, 520, 513, 31343, 7784, 31703, 2150, 4157, 544, 1263, 330, 517, 951, 328, 536, 8538, 698, 2967, 512, 6559, 1239, 4015, 269, 1230, 1729, 327, 5500, 320, 1384, 454, 306, 601, 534, 329, 583, 5500, 320, 513, 31343, 546, 777, 520, 803, 548, 5404, 1046, 534, 1592, 1183, 546, 15401, 1305, 3890, 2150, 4157, 544, 1263, 330, 517, 951, 328, 694, 25975, 1695, 1592, 1183, 694, 25975, 1695, 1305, 7531, 323, 534, 803, 548, 5404, 1046, 534, 1305, 1183, 546, 15401, 1592, 3890, 2150, 4157, 544, 1263, 330, 517, 951, 328, 694, 25975, 1695, 1305, 1183, 694, 25975, 1695, 1592, 7531, 31703, 2367, 2086, 559, 16988, 3977, 1384, 454, 339, 20891, 538, 328, 513, 16988, 31025, 520, 536, 1120, 10044, 11337, 11986, 513, 31343, 3824, 514, 544, 754, 777, 520, 16988, 13276, 584, 7795, 1592, 3693, 796, 1731, 533, 3385, 536, 1695, 14505, 533, 655, 5766, 1090, 534, 5124, 780, 8528, 8528, 307, 1872, 553, 912, 298, 564, 1731, 16988, 1494, 784, 534, 737, 1712, 10874, 1731, 583, 533, 3385, 2661, 3009, 9375, 912, 12163, 258, 16515, 921, 454, 2745, 2891, 24257, 16515, 921, 5602, 14654, 921, 318, 5443, 340, 815, 18011, 294, 5964, 3766, 5964, 12887, 288, 344, 600, 717, 648, 978, 12887, 305, 754, 836, 12887, 298, 564, 641, 21531, 5073, 329, 636, 331, 1695, 318, 5443, 340, 815, 7003, 6025, 340, 921, 318, 5443, 340, 994, 2745, 27203, 636, 331, 1695, 318, 5443, 340, 994, 258, 5903, 454, 2745, 2891, 24257, 5903, 5602, 4289, 318, 5443, 340, 815, 18358, 294, 5964, 3766, 5964, 12887, 288, 344, 600, 717, 648, 978, 12887, 305, 754, 836, 12887, 298, 564, 641, 21531, 23300, 329, 636, 331, 1695, 318, 5443, 340, 815, 7003, 17338, 318, 5443, 340, 994, 2745, 27203, 636, 331, 1695, 318, 5443, 340, 994, 258, 23951, 951, 328, 512, 6559, 1239, 454, 2745, 2891, 24257, 23951, 951, 328, 512, 6559, 1239, 5602, 4289, 10734, 340, 1695, 815, 18358, 25721, 601, 3299, 1412, 25721, 601, 3299, 1412, 297, 518, 4157, 3299, 1412, 15812, 13453, 3299, 1412, 297, 518, 4157, 3299, 1412, 15812, 13453, 3299, 1412, 25721, 601, 23300, 3553, 10734, 340, 1695, 815, 1305, 17338, 10734, 340, 1695, 994, 2745, 263, 3553, 10734, 340, 1695, 994, 4289, 10734, 340, 1695, 815, 1592, 263, 3553, 10734, 340, 1695, 994, 4289, 10734, 340, 1695, 31699, 4590, 2745, 17338, 10734, 340, 1695, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 7849, 8249, 1411, 9894, 333, 1406, 5700, 1411, 10261, 539, 454, 293, 1601, 559, 10173, 1522, 1205, 782, 519, 3007, 267, 855, 513, 2487, 6602, 538, 25157, 568, 513, 12576, 540, 519, 824, 267, 1447, 268, 615, 531, 4765, 2067, 2200, 602, 649, 946, 563, 1432, 779, 538, 513, 8745, 630, 8170, 1323, 27100, 25145, 290, 1335, 1235, 5063, 9307, 519, 4408, 540, 2185, 9241, 4362, 2609, 269, 715, 5446, 2609, 568, 3978, 1870, 267, 543, 711, 1510, 15784, 563, 1692, 14731, 595, 4459, 20290, 9894, 333, 1406, 5269, 3571, 670, 4007, 5027, 20570, 454, 23873, 21997, 2389, 29354, 1532, 328, 6048, 14731, 595, 4459, 4362, 519, 2497, 540, 5027, 476, 1911, 1296, 3516, 269, 595, 4459, 1185, 513, 5996, 565, 3176, 8905, 547, 713, 1271, 6602, 563, 11900, 728, 519, 1325, 17057, 626, 779, 22544, 454, 1432, 2645, 1131, 606, 620, 17057, 626, 946, 538, 519, 1391, 547, 18993, 1393, 824, 2609, 883, 4154, 888, 763, 17451, 7232, 341, 6295, 11270, 545, 7305, 540, 15689, 454, 19177, 1007, 2609, 734, 13647, 267, 476, 12893, 267, 476, 14056, 267, 543, 476, 14093, 734, 17647, 1044, 3773, 547, 519, 13350, 3349, 269, 1809, 519, 3406, 585, 1007, 2609, 18387, 1405, 2141, 1044, 865, 9836, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8624, 614, 1809, 974, 5013, 585, 3214, 454, 30022, 5013, 585, 3214, 8624, 614, 1809, 974, 454, 8624, 614, 1809, 974, 10704, 563, 22139, 8054, 2460, 607, 2938, 689, 8672, 15875, 563, 4433, 636, 2466, 838, 790, 540, 6778, 15917, 6577, 538, 32215, 994, 347, 292, 4582, 566, 1475, 278, 267, 22724, 10264, 630, 273, 267, 21076, 544, 10245, 19064, 668, 29561, 1475, 4200, 275, 10264, 630, 24062, 544, 10245, 347, 3674, 15684, 1475, 272, 269, 11463, 11465, 630, 274, 269, 1321, 5998, 10245, 19064, 1861, 8445, 1475, 2704, 338, 777, 1809, 974, 630, 278, 267, 4335, 10264, 10245, 347, 19613, 1475, 294, 8681, 24258, 2817, 5244, 454, 290, 27019, 3626, 6019, 267, 14151, 267, 2475, 454, 19064, 1861, 2039, 1475, 298, 320, 756, 629, 17934, 879, 454, 347, 12749, 334, 4786, 1475, 4785, 14899, 9546, 327, 718, 320, 17934, 879, 2008, 347, 13911, 540, 4224, 1475, 338, 663, 7723, 267, 14680, 267, 32549, 2008, 8624, 614, 1809, 974, 568, 513, 476, 278, 267, 22724, 20356, 3887, 4582, 566, 630, 273, 267, 21076, 2173, 2678, 264, 21895, 4092, 538, 519, 9835, 24258, 538, 23081, 517, 3626, 6019, 540, 7187, 14151, 267, 7330, 269, 898, 568, 13883, 2185, 5195, 22703, 540, 8672, 15875, 267, 1141, 621, 20610, 476, 274, 267, 7785, 3952, 630, 272, 267, 1911, 7397, 264, 1657, 715, 1678, 578, 324, 777, 24258, 269, 4706, 12543, 1331, 17659, 344, 30078, 267, 476, 273, 269, 276, 5195, 547, 519, 7178, 5991, 2180, 8054, 267, 1325, 338, 777, 1809, 974, 1079, 5195, 547, 519, 22070, 267, 543, 4210, 3739, 1809, 974, 835, 28451, 13304, 547, 519, 7532, 269, 2051, 614, 1809, 974, 568, 3957, 1310, 6276, 717, 269, 670, 269, 2051, 614, 630, 7277, 275, 1700, 4572, 273, 1070, 4535, 538, 25429, 32108, 267, 4516, 267, 646, 3357, 547, 519, 14151, 24540, 538, 476, 6942, 273, 607, 513, 22082, 267, 16027, 267, 12418, 2006, 267, 28833, 543, 18418, 5964, 25142, 269, 1261, 729, 519, 4651, 540, 14151, 1533, 6845, 1807, 12049, 2051, 614, 269, 901, 10923, 4183, 781, 2012, 729, 13166, 7550, 538, 476, 4350, 273, 676, 519, 2136, 2276, 8274, 593, 22127, 18780, 269, 4340, 547, 519, 918, 7238, 653, 523, 2916, 8760, 1062, 267, 2051, 614, 1809, 974, 568, 4092, 538, 513, 4411, 10859, 268, 541, 573, 2916, 7997, 269, 901, 855, 974, 568, 7768, 540, 6755, 985, 10944, 1014, 6261, 1069, 1014, 10016, 2967, 6828, 799, 6772, 904, 29384, 268, 14127, 7323, 13490, 1014, 4414, 13665, 7799, 9693, 267, 799, 538, 2490, 6772, 904, 9386, 268, 14127, 18095, 6929, 570, 15193, 6828, 269, 2776, 27457, 2787, 20359, 689, 713, 4183, 28368, 7532, 547, 519, 12548, 5211, 3842, 715, 1678, 578, 324, 777, 15880, 593, 519, 5087, 2427, 543, 32765, 698, 2863, 15880, 689, 519, 5045, 9386, 563, 8624, 614, 1809, 974, 12700, 585, 8866, 269, 918, 1497, 15610, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 12821, 1380, 6953, 1069, 924, 5610, 18185, 692, 1012, 6726, 919, 519, 7533, 540, 519, 2016, 1599, 535, 3287, 264, 936, 519, 8884, 11196, 31236, 267, 31236, 264, 1210, 12821, 1380, 6953, 1069, 924, 5610, 780, 4399, 7538, 3189, 26171, 315, 842, 18155, 20791, 28363, 13727, 23685, 24264, 346, 1839, 4153, 20791, 1422, 13727, 3686, 324, 13064, 343, 317, 273, 348, 325, 3287, 264, 11459, 315, 338, 830, 336, 3189, 26171, 315, 8999, 18155, 20791, 1775, 284, 272, 8703, 333, 3686, 342, 3709, 328, 348, 325, 3287, 10983, 9385, 315, 3189, 26171, 315, 842, 18155, 20791, 28363, 13727, 23685, 24264, 346, 1839, 4153, 20791, 1422, 13727, 3686, 326, 3287, 264, 11459, 315, 338, 830, 336, 3189, 26171, 315, 8999, 18155, 20791, 1775, 284, 272, 8703, 333, 3686, 342, 3709, 328, 348, 324, 3867, 343, 10983, 317, 273, 348, 326, 3287, 10983, 1070, 315, 24264, 346, 1015, 348, 326, 3287, 6661, 324, 13064, 343, 317, 273, 348, 325, 3287, 9385, 315, 14204, 575, 3287, 6661, 324, 14870, 273, 325, 3287, 994, 575, 3287, 264, 535, 3287, 994, 15652, 562, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 476, 1724, 476, 1691, 476, 1428, 476, 1626, 476, 1704, 476, 1240, 476, 866, 476, 736, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 476, 2767, 476, 2764, 476, 3066, 476, 1789, 476, 4029, 476, 3953, 476, 3451, 476, 4097, 476, 3374, 476, 3607, 476, 4391, 476, 4343, 476, 4375, 476, 2412, 476, 6078, 476, 5655, 476, 6246, 476, 4510, 476, 3393, 476, 5379, 476, 5325, 476, 4366, 476, 5392, 476, 2004, 476, 7906, 476, 7367, 476, 7871, 476, 7918, 476, 4649, 476, 6321, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 8287, 476, 5038, 476, 4792, 476, 5780, 476, 6858, 476, 6924, 476, 7597, 476, 3583, 476, 10170, 476, 7761, 476, 10463, 476, 10619, 476, 4037, 476, 10602, 476, 6507, 476, 4281, 476, 8064, 476, 3199, 476, 10037, 476, 11025, 476, 10695, 476, 10019, 476, 5952, 476, 10436, 476, 9262, 476, 6434, 476, 8660, 476, 3445, 476, 11011, 476, 10844, 476, 11152, 476, 11463, 476, 4817, 476, 9834, 476, 9032, 476, 7176, 476, 4200, 476, 1911, 454, 476, 277, 323, 25885, 1015, 323, 25885, 1691, 323, 25885, 1240, 323, 25885, 2420, 323, 25885, 2918, 323, 25885, 1789, 323, 25885, 4097, 323, 25885, 4343, 323, 25885, 5655, 323, 25885, 5379, 323, 25885, 2004, 323, 25885, 692, 13575, 267, 713, 7533, 666, 581, 6385, 543, 8308, 7229, 7868, 2076, 8681, 535, 3287, 264, 568, 10924, 547, 581, 25107, 543, 1875, 12656, 1675, 545, 269, 7445, 7538, 12821, 1380, 6953, 1069, 924, 315, 5610, 11138, 314, 1015, 28488, 272, 9385, 11513, 26171, 315, 842, 18155, 20791, 28363, 13727, 23685, 24264, 346, 1839, 4153, 20791, 1422, 13727, 3686, 325, 3287, 264, 11459, 315, 338, 830, 336, 3189, 26171, 315, 8999, 18155, 20791, 1775, 284, 272, 8703, 333, 3686, 342, 3709, 328, 348, 324, 3867, 343, 10983, 317, 273, 348, 325, 3287, 10983, 9385, 315, 314, 1015, 316, 315, 24264, 346, 1789, 348, 9136, 315, 1535, 10983, 24097, 24264, 346, 736, 348, 295, 5332, 3287, 10983, 6661, 271, 11138, 315, 24264, 346, 1789, 348, 2597, 315, 24264, 346, 736, 348, 530, 10983, 284, 3189, 26171, 21702, 346, 273, 3867, 333, 266, 272, 7346, 26171, 562, 256, 315, 6912, 3189, 7032, 3686, 2410, 314, 295, 3709, 333, 266, 272, 12917, 343, 10983, 13580, 317, 273, 3686, 11138, 6911, 2414, 2087, 713, 1412, 294, 320, 1380, 6953, 1069, 924, 5610, 18185, 3299, 5225, 6445, 538, 18102, 780, 300, 1446, 610, 5482, 1446, 15017, 300, 1446, 21058, 454, 21848, 454, 15152, 476, 736, 1296, 2025, 476, 736, 1296, 2025, 1377, 476, 1789, 1296, 2025, 1377, 454, 2412, 1296, 2025, 1377, 476, 2004, 1296, 2025, 1377, 476, 2568, 1296, 2025, 1377, 610, 936, 454, 30999, 1575, 566, 454, 292, 11915, 1153, 270, 28133, 1164, 17469, 2875, 454, 11947, 17469, 270, 2160, 270, 27240, 2875, 589, 4630, 655, 6033, 1323, 5604, 11832, 1315, 589, 1857, 9441, 454, 20236, 15041, 23903, 1004, 1323, 11653, 589, 4116, 1315, 589, 11001, 454, 288, 19622, 1004, 11524, 454, 8196, 995, 888, 25802, 2422, 995, 589, 2370, 3502, 693, 2353, 454, 303, 17123, 540, 946, 286 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 278, 268, 280, 3143, 2250, 1090, 328, 281, 4635, 519, 1592, 26889, 318, 7451, 1106, 3635, 278, 268, 279, 18258, 267, 1118, 2386, 519, 26889, 1412, 335, 770, 1090, 328, 262, 5526, 538, 519, 1592, 693, 2547, 1614, 2053, 563, 258, 11754, 3009, 2282, 519, 4098, 540, 707, 1982, 547, 1820, 513, 5048, 6031, 519, 1642, 328, 814, 2196, 856, 540, 2250, 1090, 328, 267, 543, 1287, 946, 513, 1247, 8520, 547, 4894, 782, 20825, 540, 1412, 335, 770, 1090, 328, 262, 689, 26889, 318, 7451, 563, 258, 13014, 2386, 1100, 2250, 1090, 328, 32409, 1439, 909, 538, 8737, 32409, 780, 258, 8794, 3635, 278, 268, 279, 18258, 454, 2745, 2891, 28989, 256, 12815, 1090, 328, 32409, 5749, 1405, 2139, 23528, 338, 663, 16049, 318, 7451, 815, 18358, 339, 10044, 3299, 1412, 335, 770, 1090, 328, 3299, 1412, 335, 14040, 3299, 1412, 3832, 3150, 3299, 1412, 335, 770, 1090, 328, 3299, 1412, 3832, 3150, 3299, 1412, 339, 10044, 3299, 1412, 335, 770, 1090, 328, 23300, 21129, 1639, 5334, 663, 23495, 1127, 815, 29129, 6112, 1412, 335, 770, 1090, 328, 262, 538, 26889, 318, 7451, 912, 825, 26889, 318, 7451, 31927, 3488, 335, 770, 1090, 328, 17210, 6112, 26889, 318, 7451, 912, 825, 1699, 5334, 663, 16049, 815, 26889, 318, 7451, 21014, 4590, 825, 1820, 2891, 25387, 1818, 834, 1341, 1699, 5334, 663, 16049, 1341, 834, 26889, 5602, 825, 8737, 5334, 663, 23495, 1127, 6910, 263, 9690, 5334, 663, 16049, 2020, 2745, 2891, 763, 1739, 32409, 941, 1500, 281, 19515, 1721, 26889, 538, 8737, 5334, 663, 23495, 1127, 912, 825, 1820, 4433, 663, 16049, 994 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]