Datasets:
SmallDoge
/
decay_dataset

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
6
2.05k
attention_mask
listlengths
6
2.05k
[ 0, 258, 8641, 7869, 543, 621, 779, 27122, 692, 272, 692, 20877, 7869, 543, 621, 779, 27122, 267, 6258, 519, 2035, 540, 8641, 7869, 267, 621, 779, 27122, 543, 25956, 873, 538, 5124, 780, 296, 10950, 596, 782, 547, 1250, 1576, 593, 2048, 20877, 7869, 543, 621, 779, 27122, 1107, 11628, 667, 6347, 685, 692, 1607, 1576, 9388, 609, 519, 2035, 540, 8641, 7869, 971, 607, 692, 272, 269, 1548, 568, 8641, 4578, 12856, 2496, 273, 269, 10241, 540, 28977, 547, 4194, 1483, 1272, 2042, 780, 274, 269, 12910, 514, 3098, 3238, 538, 8641, 7869, 692, 275, 269, 9537, 540, 8641, 4578, 12856, 1107, 13379, 539, 267, 1133, 7076, 539, 267, 6034, 539, 267, 25613, 20526, 267, 20676, 545, 267, 589, 7094, 545, 267, 6034, 539, 589, 7094, 545, 28977, 780, 1607, 1576, 849, 3947, 519, 7778, 540, 519, 1739, 6620, 543, 849, 1683, 741, 6388, 538, 5124, 780, 274, 269, 3493, 628, 3689, 9612, 630, 5263, 306, 264, 23990, 538, 5124, 692, 276, 269, 10819, 1759, 593, 667, 12396, 1107, 5440, 1670, 23037, 267, 5681, 267, 7665, 267, 3687, 780, 306, 17532, 11905, 10374, 652, 11202, 10819, 780, 272, 269, 30622, 1731, 14259, 779, 23990, 1107, 23990, 543, 8943, 538, 5124, 780, 273, 269, 13852, 2006, 16110, 1107, 23990, 543, 8943, 538, 5124, 780, 14737, 3065, 1975, 8911, 10326, 10819, 692, 272, 269, 19247, 540, 1975, 8911, 19029, 267, 15531, 856, 29358, 1975, 8911, 10326, 780, 273, 269, 10021, 779, 543, 918, 6350, 32039, 779, 23990, 780, 9616, 281, 11310, 538, 9978, 4578, 23113, 543, 5124, 568, 9053, 780, 288, 3113, 1239, 2497, 5161, 540, 513, 13113, 630, 663, 7654, 4573, 762, 264, 1305, 540, 14622, 630, 10193, 1572, 9136, 610, 2798, 1070, 1927, 609, 513, 1305, 540, 796, 23912, 8424, 540, 891, 14622, 585, 606, 3768, 20526, 3113, 610, 513, 1305, 540, 10288, 8424, 585, 513, 9859, 3113, 269, 1452, 8424, 616, 1634, 607, 8728, 630, 10193, 1572, 6402, 610, 3515, 1070, 543, 585, 513, 9859, 3113, 616, 849, 1634, 607, 8728, 855, 849, 3006, 21985, 610, 9095, 338, 269, 634, 14622, 949, 581, 851, 540, 519, 3113, 2497, 267, 610, 949, 581, 5007, 9988, 6719, 676, 8870, 17523, 610, 8100, 780, 10403, 8096, 866, 269, 4200, 692, 2171, 786, 581, 6126, 547, 5873, 707, 4555, 454, 5319, 762, 14261, 538, 5468, 910, 2489 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 275, 4045, 532, 19449, 3380, 692, 24309, 676, 32515, 13158, 345, 331, 3530, 593, 1547, 17397, 538, 1773, 2033, 16387, 692, 1892, 476, 275, 8220, 10580, 630, 320, 1079, 8820, 4137, 264, 814, 2185, 3160, 3259, 9095, 338, 8220, 693, 519, 14622, 3808, 676, 10580, 563, 1892, 513, 815, 536, 815, 524, 815, 546, 454, 1892, 476, 275, 9095, 338, 454, 1892, 476, 275, 14584, 338, 692, 2162, 20211, 20099, 540, 513, 1109, 290, 22511, 20211, 12384, 4542, 692, 11377, 26171, 346, 562, 815, 1422, 2765, 346, 273, 20939, 1422, 7032, 31046, 337, 2410, 275, 348, 476, 15732, 8489, 1384, 11377, 26171, 346, 562, 476, 6525, 815, 2895, 3259, 692, 11377, 26171, 346, 1422, 7032, 476, 6525, 815, 13100, 692, 11377, 26171, 346, 678, 476, 6525, 815, 8953, 692, 2162, 9351, 540, 513, 1109, 290, 22511, 20211, 12384, 4542, 692, 11377, 26171, 346, 589, 3709, 19327, 348, 815, 1422, 3847, 263, 476, 275, 910, 1422, 7032, 1422, 2431, 264, 31046, 678, 317, 273, 476, 15732, 8489, 1384, 11377, 26171, 346, 589, 3709, 19327, 348, 476, 6525, 815, 1858, 692, 11377, 26171, 346, 1422, 7032, 476, 6525, 815, 13100, 692, 11377, 26171, 346, 678, 476, 6525, 815, 8953, 692, 2162, 4144, 21192, 540, 513, 1109, 290, 22511, 20211, 12384, 4542, 692, 11377, 26171, 346, 546, 262, 815, 1422, 3847, 263, 476, 273, 20939, 1422, 6912, 346, 273, 348, 910, 476, 273, 1422, 2431, 264, 31046, 678, 476, 15732, 8489, 1384, 11377, 26171, 346, 546, 262, 476, 6525, 815, 15497, 692, 11377, 26171, 346, 678, 476, 6525, 815, 8953, 692, 2162, 32309, 540, 513, 1109, 290, 22511, 20211, 12384, 4542, 692, 11377, 26171, 346, 533, 815, 476, 273, 20939, 1422, 7032, 31046, 337, 476, 15732, 8489, 1384, 11377, 26171, 346, 533, 476, 6525, 815, 15943, 692, 11377, 26171, 346, 1422, 7032, 476, 6525, 815, 13100, 692, 11377, 26171, 346, 678, 476, 6525, 815, 8953 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 256, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 8191, 281, 30538, 623, 532, 692, 258, 10254, 358, 17958, 23521, 350, 10524, 370, 13213, 494, 28997, 501, 31033, 7511, 417, 369, 490, 417, 354, 501, 23521, 354, 14395, 490, 29873, 27882, 353, 30903, 502, 16088, 27730, 18263, 510, 29873, 14756, 358, 285, 284, 3445, 26166, 7511, 12571, 490, 27730, 17958, 288, 23989, 419, 353, 374, 8147, 2568, 268, 8660, 26166, 18263, 489, 25426, 368, 7511, 17958, 289, 23989, 419, 353, 374, 8147, 2568, 26166, 23284, 31284, 7511, 17958, 290, 23989, 419, 353, 374, 12486, 692, 16557, 815, 703, 9272, 3488, 921, 848, 3403, 707, 6060, 281, 1412, 4917, 604, 6060, 13843, 476, 3445, 912, 825, 1267, 815, 1412, 288, 7055, 19197, 476, 2568, 2999, 6060, 2999, 476, 8660, 912, 825, 1267, 815, 1412, 289, 7055, 19197, 6060, 2999, 476, 2568, 912, 825, 1267, 815, 1412, 290, 7055, 2745, 3488, 763, 1267, 568, 4939, 338, 262, 4939, 14310, 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 ]
[ 0, 9223, 281, 2961, 1324, 13544, 27984, 2000, 534, 3179, 281, 589, 18560, 602, 568, 6158, 543, 8066, 513, 1507, 22481, 568, 1373, 4963, 743, 539, 676, 1079, 1453, 269, 634, 17099, 543, 519, 1453, 4758, 1079, 555, 29304, 909, 616, 3254, 269, 634, 18560, 454, 271, 269, 1178, 2125, 513, 22481, 602, 930, 1004, 723, 1500, 543, 6238, 26002, 513, 3068, 856, 540, 621, 563, 272, 269, 568, 15255, 810, 532, 543, 9292, 1782, 513, 22481, 538, 519, 6607, 543, 621, 2501, 1835, 4770, 1524, 5196, 519, 2666, 563, 273, 269, 568, 1818, 15211, 538, 10580, 538, 519, 4104, 3257, 15361, 593, 16246, 9649, 9649, 6802, 9469, 563, 274, 269, 18795, 543, 12909, 1247, 8066, 513, 22481, 609, 519, 1079, 1453, 9361, 693, 1142, 2427, 593, 519, 6371, 563, 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 ]
[ 0, 763, 2699, 3863, 532, 540, 4516, 779, 21146, 6302, 543, 519, 1840, 540, 476, 1789, 1007, 7759, 902, 585, 476, 1001, 276, 998, 23799, 9084, 1797, 519, 9550, 4786, 814, 4957, 513, 2603, 2094, 519, 20271, 2510, 4465, 741, 5354, 538, 476, 1001, 272, 269, 634, 2242, 1039, 1776, 4494, 540, 17674, 1464, 585, 606, 9550, 1032, 269, 634, 3483, 540, 23799, 9084, 568, 547, 2119, 547, 2327, 1142, 14964, 4564, 10199, 519, 1482, 1297, 540, 1004, 267, 2921, 883, 2272, 2797, 543, 13338, 4170, 269, 13584, 11977, 6816, 8952, 922, 2185, 16295, 267, 5103, 922, 1507, 2551, 267, 1247, 14411, 8591, 476, 1428, 1007, 7759, 902, 585, 476, 1001, 276, 267, 645, 5861, 269, 543, 22598, 1142, 1205, 3670, 811, 543, 20563, 4991, 1614, 269, 1809, 972, 568, 811, 547, 621, 982, 602, 269, 634, 6302, 538, 476, 3583, 829, 1298, 540, 519, 6967, 7759, 902, 538, 519, 2197, 723, 4957, 269, 3509, 540, 519, 14964, 4408, 723, 4957, 267, 1932, 269, 630, 2791, 666, 1265, 7851, 540, 782, 540, 873, 593, 5082, 687, 4516, 779, 3896, 4700, 17359, 9137, 281, 8549, 14964, 10465, 2242, 1039, 547, 476, 1001, 276, 9550, 26675, 910, 15348, 910, 595, 6195, 5240, 563, 13202, 476, 278, 476, 1001, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 568, 513, 3810, 1673, 564, 9229, 3992, 22753, 585, 519, 32471, 748, 3590, 547, 581, 1031, 538, 513, 1164, 1153, 10334, 610, 2606, 22845, 1576, 269, 589, 17948, 267, 12222, 267, 3211, 267, 546, 22259, 4967, 267, 2978, 2238, 267, 543, 513, 7688, 616, 782, 3769, 543, 2626, 10569, 585, 782, 3688, 616, 3177, 563, 23921, 547, 4188, 519, 1377, 540, 1469, 585, 707, 1362, 286, 3143, 1966, 256, 634, 17948, 6881, 543, 7688, 616, 11581, 3951, 21764, 563, 11754, 19843, 15726, 7704, 15101, 6441, 306, 272, 268, 273, 563, 8923, 4063, 281, 901, 568, 849, 851, 540, 1250, 9509, 22845, 1299, 25665, 15099, 563, 1103, 7672, 538, 713, 1587, 912, 272, 269, 11581, 3951, 21764, 476, 6812, 1606, 331, 728, 17948, 6881, 609, 12006, 6863, 267, 26715, 2474, 267, 543, 2407, 12258, 528, 12383, 454, 273, 269, 476, 1015, 3817, 540, 1250, 3810, 2442, 667, 22259, 11872, 14626, 4575, 609, 17948, 454, 274, 269, 30894, 585, 2875, 21458, 609, 1025, 3471, 543, 22921, 8747, 585, 2656, 17118, 454, 278, 269, 15642, 629, 631, 10248, 11314, 630, 29493, 1299, 30854, 994, 279, 269, 9906, 5623, 13268, 564, 454, 280, 269, 11581, 3951, 21764, 13658, 585, 4879, 454, 265, 2690, 811, 3877, 543, 23877, 540, 519, 3992, 267, 4945, 593, 519, 28217, 26177, 3095, 1657, 269, 20330, 21178, 4450, 543, 3252, 540, 11409, 1299, 5778, 6921, 807, 454, 5937, 643, 2888, 540, 519, 8401, 1062, 630, 3530, 5166, 642, 269, 2498, 5166, 267, 3844, 642, 269, 15672, 994, 9539, 2925, 6764, 592, 4513, 281, 2962, 1761, 267, 5348, 22663, 454, 5174, 1778, 281, 6147, 1962, 636, 630, 275, 10981, 525, 1070, 6147, 31616, 267, 555, 31726, 267, 20968, 31726, 267, 2634, 980, 454, 4149, 335, 1400, 10260, 1299, 16846, 9095, 454, 4149, 5151, 281, 5905, 13364, 267, 6492, 19512, 267, 10153, 16371, 13364, 267, 2497, 540, 3750, 543, 5075, 267, 2497, 540, 1274, 543, 6217, 454, 6261, 518, 8327, 531, 8401, 1062, 281, 16846, 9095, 267, 22623, 658, 13285, 267, 11983, 13285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4351, 1104, 3903, 692, 323, 5334, 778, 815, 22373, 577, 2086, 542, 2580, 834, 323, 25128, 517, 2580, 834, 24490, 2580, 834, 12516, 31116, 753, 342, 815, 3903, 5560, 5334, 778, 994, 32627, 6831, 2967, 815, 1592, 263, 753, 342, 994, 338, 1511, 815, 29129, 6112, 7003, 263, 32627, 6831, 2967, 264, 3436, 476, 271, 912, 825, 1347, 815, 3903, 263, 32627, 6831, 2967, 994, 825, 4688, 6910, 263, 10420, 994, 825, 669, 340, 6831, 2967, 31927, 263, 10420, 2020, 2745, 28949, 338, 1511, 994, 333, 815, 3403, 2891, 11767, 519, 2262, 281, 19515, 604, 562, 2652, 1959, 912, 825, 1820, 2891, 291, 2426, 2433, 4297, 5602, 12828, 912, 825, 1820, 2891, 306, 2967, 2433, 263, 2891, 2020, 672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 594, 3893, 606, 5863, 1521, 689, 1250, 4651, 607, 10353, 547, 519, 3983, 10516, 689, 1250, 3993, 267, 1317, 519, 9041, 729, 11720, 6804, 563, 271, 269, 1521, 454, 272, 269, 10516, 454, 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 ]
[ 0, 271, 692, 258, 1548, 616, 1614, 8454, 6697, 547, 1614, 1000, 1409, 525, 2496, 24993, 281, 476, 280, 270, 2641, 270, 1708, 274, 692, 310, 5942, 14871, 692, 1321, 344, 3516, 692, 16248, 8454, 602, 616, 6697, 547, 476, 274, 270, 1321, 616, 476, 272, 270, 275, 267, 476, 277, 270, 2190, 543, 476, 1321, 270, 4366, 692, 310, 5942, 14871, 692, 1321, 344, 3516, 692, 292, 7568, 1341, 736, 533, 1206, 454, 304, 281, 1548, 616, 1614, 8454, 6697, 547, 1614, 1000, 1409, 525, 888, 8138, 2466, 454, 26170, 723, 2055, 888, 16665, 2055, 692, 2162, 1548, 568, 519, 1614, 6697, 8454, 547, 835, 1000, 1409, 525, 2496, 272, 270, 1321, 815, 476, 273, 270, 2190, 815, 476, 274, 270, 3607, 815, 476, 275, 270, 4366, 1703, 616, 1082, 811, 267, 711, 1175, 1614, 692, 2162, 1548, 8454, 616, 552, 336, 2753, 550, 547, 1614, 1000, 1409, 525, 2496, 272, 270, 275, 267, 476, 273, 270, 279, 267, 476, 275, 270, 1626, 267, 476, 276, 270, 736, 1862, 28341, 780, 2162, 3657, 1614, 5216, 543, 1614, 2185, 6697, 8454, 2496, 274, 270, 279, 543, 476, 274, 270, 275, 616, 711, 6697, 8454, 692, 2162, 1548, 616, 1614, 6697, 8454, 540, 4642, 2496, 763, 476, 274, 6697, 8454, 540, 4642, 568, 476, 271, 267, 271, 267, 543, 476, 271, 780, 2162, 1548, 616, 1614, 6697, 8454, 547, 1614, 6957, 2195, 2496, 16248, 8454, 6697, 547, 476, 274, 270, 276, 616, 476, 277, 270, 1015, 267, 476, 1321, 270, 736, 543, 476, 1428, 270, 1839, 692, 2162, 1548, 616, 1614, 8454, 6697, 547, 476, 271, 269, 2568, 2496, 274, 270, 276, 267, 476, 277, 270, 1015, 267, 543, 476, 280, 270, 1428, 616, 1614, 8454, 6697, 547, 476, 271, 269, 2568, 780, 2162, 1548, 568, 1614, 6697, 8454, 585, 476, 271, 269, 2004, 2496, 2467, 616, 513, 12808, 1297, 540, 8454, 602, 616, 6697, 547, 476, 271, 269, 2004, 269, 8422, 540, 873, 616, 476, 272, 270, 273, 267, 476, 1704, 270, 4097, 267, 543, 476, 2004, 270, 1911, 780, 2162, 1548, 616, 1614, 1114, 6697, 8454, 585, 476, 271, 269, 4037, 2496, 4037, 270, 1911, 267, 476, 274, 270, 275, 267, 543, 476, 279, 270, 1321, 616, 1614, 1114, 6697, 8454, 540, 476, 271, 269, 4037, 692, 16248, 552, 662, 2195, 692, 2162, 1548, 8454, 616, 6697, 547, 476, 4366, 476, 5655, 2496, 2190, 270, 2641, 476, 9834, 270, 11025, 476, 13301, 270, 13975, 1452, 616, 1152, 1614, 6697, 8454, 269, 1703, 616, 606, 12808, 2179, 540, 6697, 8454, 585, 476, 4366, 270, 5655, 780, 2162, 1548, 568, 519, 6697, 8454, 540, 2496, 272, 270, 273, 815, 476, 273, 270, 275, 815, 476, 275, 270, 279, 616, 1614, 1114, 3168, 8454, 602, 782, 1611, 519, 1482, 267, 543, 616, 6697, 8454, 780, 2162, 1548, 616, 782, 519, 6697, 8454, 540, 1614, 2185, 2195, 2496, 2467, 616, 606, 12808, 1297, 540, 6697, 8454, 585, 1614, 2185, 2195, 269, 2368, 540, 873, 616, 3670, 552, 2074, 267, 476, 1321, 270, 1626, 267, 543, 476, 4968, 270, 6110, 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 ]
[ 0, 8450, 849, 281, 7033, 5202, 540, 7507, 1686, 543, 7033, 5202, 540, 519, 4936, 7276, 3267, 476, 276, 4281, 13045, 276, 4097, 7460, 2433, 12081, 540, 4419, 3780, 570, 1638, 3780, 281, 3989, 519, 10723, 10465, 540, 7507, 910, 519, 4429, 2004, 280, 14514, 267, 14564, 15148, 1540, 1996, 519, 18264, 6350, 4754, 15438, 543, 2813, 519, 1062, 540, 454, 326, 17922, 676, 519, 14130, 543, 519, 13909, 269, 5990, 12164, 12702, 12239, 5508, 8668, 3201, 312, 563, 17809, 1938, 513, 26567, 1686, 540, 9147, 7507, 609, 3573, 6402, 547, 4950, 454, 20755, 5202, 269, 3778, 23645, 9147, 7507, 269, 634, 4936, 7276, 729, 835, 540, 519, 6574, 454, 663, 1034, 9565, 12977, 538, 1158, 1686, 269, 898, 3459, 538, 519, 2749, 540, 7507, 538, 4429, 5804, 11184, 3627, 3798, 7773, 9995, 903, 262, 834, 288, 12660, 542, 547, 5824, 5525, 2437, 713, 1305, 540, 28868, 454, 529, 5258, 883, 476, 5325, 5712, 267, 689, 519, 21257, 998, 519, 2669, 540, 3807, 15687, 563, 10403, 9147, 1315, 18190, 3778, 454, 21158, 12072, 256, 2859, 19314, 1607, 15415, 8711, 519, 2101, 2621, 538, 519, 1686, 540, 9147, 7507, 269, 901, 454, 339, 574, 5202, 4422, 689, 476, 4037, 274, 7460, 547, 476, 2767, 7460, 543, 1287, 689, 476, 5038, 5084, 547, 476, 13970, 274, 5084, 563, 4037, 274, 7460, 281, 681, 5448, 630, 305, 727, 264, 568, 8547, 676, 7931, 15252, 476, 16020, 7460, 281, 16380, 3715, 513, 454, 3712, 3415, 693, 595, 6373, 476, 16020, 7460, 281, 1101, 18264, 6350, 4754, 1202, 18587, 476, 277, 1626, 7460, 281, 20579, 23936, 3780, 594, 3587, 454, 15900, 4936, 7033, 5202, 269, 5729, 269, 7926, 269, 476, 6344, 271, 7460, 269, 22073, 540, 519, 1101, 4401, 2085, 269, 634, 454, 23272, 7236, 22109, 547, 7977, 689, 519, 8355, 4209, 3148, 269, 476, 1911, 271, 7460, 269, 4678, 1231, 7017, 538, 519, 4429, 20755, 5202, 540, 12830, 15638, 543, 667, 919, 538, 519, 4936, 6243, 269, 5824, 22439, 4429, 305, 727, 8719, 519, 18264, 6350, 4754, 17710, 609, 513, 6243, 1282, 519, 3778, 540, 269, 7507, 563, 263, 1607, 2376, 3091, 513, 2110, 7650, 540, 519, 10340, 540, 3504, 7507, 282, 824, 454, 14895, 4308, 609, 3344, 540, 4936, 1686, 543, 10340, 538, 811, 1469, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 454, 309, 545, 518, 5819, 1399, 540, 1715, 21081, 3385, 454, 263, 309, 597, 516, 514, 6737, 632, 715, 826, 9366, 21081, 3385, 1916, 268, 634, 30647, 518, 5819, 1399, 540, 1715, 21081, 3385, 630, 14378, 278, 1700, 8687, 280, 264, 2443, 851, 540, 519, 5053, 17091, 540, 7187, 3162, 3013, 543, 7013, 6239, 3013, 563, 268, 2060, 519, 4295, 7810, 1858, 538, 1459, 1554, 21896, 267, 28130, 267, 24861, 267, 543, 27816, 563, 268, 4706, 8513, 849, 3769, 24053, 3570, 267, 27623, 5080, 514, 877, 267, 2694, 540, 32720, 8478, 267, 7187, 18475, 267, 22728, 28573, 267, 543, 12832, 31804, 7699, 563, 5472, 3688, 630, 276, 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 ]
[ 0, 10666, 713, 6221, 454, 268, 5071, 1299, 8073, 476, 1911, 781, 540, 5071, 338, 2336, 268, 12409, 543, 8342, 2336, 268, 10222, 9201, 267, 8293, 4100, 1299, 14339, 338, 2336, 268, 12698, 476, 277, 32504, 5331, 543, 8073, 609, 476, 274, 291, 25080, 4070, 269, 12706, 609, 1079, 25080, 8490, 7010, 269, 12706, 609, 6419, 22203, 267, 11084, 267, 2983, 6248, 25609, 543, 1520, 1986, 645, 8712, 547, 1711, 476, 1911, 338, 540, 6272, 269, 3143, 9075, 2838, 269, 12698, 476, 277, 543, 909, 2336, 10831, 540, 26629, 806, 281, 476, 2004, 454, 291, 574, 5014, 630, 14454, 2567, 476, 1556, 6279, 630, 295, 264, 1535, 476, 273, 6279, 630, 310, 264, 1535, 476, 1015, 3952, 630, 299, 994, 26574, 281, 476, 272, 269, 276, 6550, 454, 22296, 2248, 539, 6520, 281, 476, 277, 13012, 543, 5455, 454, 290, 28903, 932, 3183, 32126, 2782, 11789, 281, 932, 3183, 20189, 1794, 731, 5334, 332, 718, 318, 30672, 454, 14807, 1049, 10312, 281, 11300, 15154, 267, 5386, 5179, 1983, 454, 2005, 655, 7089, 630, 7894, 5746, 2567, 476, 14225, 268, 5881, 268, 29045, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10414, 540, 11508, 692, 272, 269, 4239, 476, 1428, 267, 476, 1220, 275, 692, 2162, 737, 574, 1731, 15501, 692, 12179, 948, 2496, 288, 3799, 264, 476, 31275, 4846, 1286, 568, 6288, 539, 593, 513, 476, 275, 5232, 13141, 710, 563, 763, 10231, 540, 8904, 568, 476, 280, 269, 279, 544, 4882, 317, 273, 563, 8340, 519, 3196, 540, 11508, 5329, 519, 1286, 454, 5228, 23510, 1524, 519, 13141, 710, 269, 8382, 538, 454, 28493, 540, 715, 780, 273, 269, 4239, 476, 1428, 267, 476, 1220, 275, 692, 2162, 844, 553, 541, 7176, 278, 692, 6124, 2023, 781, 2034, 1876, 540, 5163, 2829, 602, 519, 3196, 593, 606, 1843, 568, 3160, 547, 922, 2527, 2053, 922, 10231, 780, 2330, 293, 284, 2742, 9681, 1607, 1797, 602, 952, 972, 568, 1100, 630, 6339, 14386, 3196, 593, 606, 1843, 630, 293, 284, 271, 1070, 621, 814, 1100, 10231, 2901, 630, 320, 284, 271, 1040, 901, 1797, 602, 621, 781, 6991, 3085, 1405, 1689, 269, 901, 1797, 602, 952, 519, 1843, 568, 3001, 693, 513, 1978, 3432, 267, 621, 8952, 3257, 865, 269, 1656, 952, 519, 1843, 568, 7555, 1869, 267, 621, 8952, 7555, 1869, 780, 4415, 713, 538, 2247, 267, 952, 972, 568, 513, 3196, 593, 938, 1286, 630, 4067, 569, 519, 3196, 540, 8904, 264, 543, 649, 1616, 938, 1286, 547, 3251, 1869, 593, 519, 13141, 710, 267, 713, 1797, 649, 1616, 519, 2698, 3196, 593, 621, 538, 519, 4287, 6252, 547, 519, 13141, 710, 547, 581, 476, 271, 780, 2791, 979, 689, 972, 780, 263, 295, 842, 281, 8359, 707, 1062, 540, 11282, 6252, 547, 519, 13141, 710, 24355, 303, 2529, 269, 898, 781, 589, 1286, 692, 8310, 12995, 281, 4239, 476, 1428, 267, 476, 1220, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2749, 568, 519, 11889, 8998, 540, 519, 3943, 3148, 540, 31240, 9627, 888, 12585, 281, 715, 3198, 290, 312, 454, 2704, 328, 1162, 281, 27211, 630, 4134, 3711, 580, 6672, 1070, 715, 3198, 290, 312, 267, 27211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2165, 18273, 568, 1031, 547, 4766, 519, 5912, 3942, 1063, 6689, 543, 15296, 269, 594, 3494, 602, 938, 15730, 3942, 538, 1272, 568, 835, 540, 519, 1034, 1271, 5933, 1317, 602, 568, 950, 649, 616, 2111, 547, 1265, 938, 3020, 30441, 269, 10801, 938, 15730, 1296, 267, 649, 616, 7836, 1034, 540, 938, 942, 538, 1164, 1153, 269, 3245, 519, 1376, 540, 1164, 1153, 782, 519, 1259, 2394, 596, 10927, 267, 596, 2744, 543, 6336, 2828, 267, 1451, 875, 547, 4308, 609, 3347, 267, 538, 1840, 547, 11543, 513, 1434, 4308, 540, 1702, 267, 543, 1565, 1141, 596, 3514, 538, 13998, 269, 594, 13948, 1745, 899, 891, 616, 938, 2629, 1296, 1317, 789, 9044, 721, 883, 945, 649, 1131, 899, 547, 581, 538, 938, 2663, 2104, 563, 296, 3314, 950, 594, 5828, 476, 1691, 267, 594, 729, 2111, 547, 1294, 606, 15730, 4387, 543, 4734, 1250, 12963, 1014, 945, 6785, 803, 689, 4332, 269, 2311, 713, 1448, 267, 711, 1152, 1705, 594, 1745, 17212, 1386, 267, 594, 849, 5433, 3743, 1317, 713, 5921, 594, 729, 2111, 547, 1294, 1250, 4387, 1510, 1250, 3993, 1373, 538, 519, 4055, 269, 594, 993, 1631, 2111, 547, 3802, 538, 543, 2911, 547, 1250, 4387, 8164, 594, 1616, 267, 1510, 1250, 3993, 779, 6616, 269, 23560, 865, 3947, 803, 6015, 543, 2982, 803, 875, 513, 2078, 609, 707, 4387, 568, 1898, 1317, 707, 3237, 786, 711, 581, 972, 538, 519, 4387, 779, 5604, 609, 596, 11014, 267, 4543, 3142, 909, 2055, 547, 2307, 707, 4387, 543, 1732, 707, 1072, 269, 1879, 4742, 606, 15730, 267, 707, 15657, 1377, 4679, 543, 711, 1152, 798, 596, 1020, 15508, 267, 855, 9308, 607, 1134, 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, 10387, 841, 721, 547, 1205, 606, 8216, 476, 736, 260, 10958, 593, 3810, 2500, 918, 268, 1321, 4569, 1299, 2296, 737, 342, 714, 25892, 15789, 2439, 2971, 6732, 13658, 630, 17582, 18694, 5723, 7374, 2020, 26524, 3131, 13658, 815, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 692, 2162, 6103, 476, 273, 910, 9119, 274, 269, 278, 25478, 14559, 630, 310, 22003, 4569, 2020, 25478, 14559, 12700, 281, 476, 272, 29784, 815, 476, 272, 1298, 476, 272, 19695, 815, 476, 276, 21347, 476, 272, 546, 830, 815, 476, 1015, 21347, 476, 272, 10116, 815, 476, 1839, 21347, 476, 272, 13362, 815, 476, 1911, 21347, 6733, 693, 519, 2243, 269, 1627, 4564, 10116, 815, 476, 1839, 21347, 267, 667, 4564, 546, 830, 815, 476, 1015, 267, 715, 4564, 19695, 815, 476, 276, 267, 623, 4564, 29784, 815, 476, 272, 4032, 519, 1297, 540, 20453, 267, 546, 1307, 267, 12183, 956, 543, 546, 1307, 12433, 519, 2179, 540, 21347, 585, 1142, 5410, 519, 2040, 6396, 281, 6733, 693, 519, 2243, 269, 1627, 568, 10116, 815, 476, 1839, 21347, 267, 667, 568, 546, 830, 815, 476, 1015, 267, 715, 568, 19695, 815, 476, 276, 267, 623, 568, 29784, 815, 476, 272, 267, 8096, 568, 13362, 815, 476, 1911, 4032, 519, 1297, 540, 20453, 267, 546, 1307, 267, 12183, 956, 543, 546, 1307, 12433, 519, 2179, 540, 21347, 585, 1142, 5410, 519, 2040, 269, 7151, 281, 1627, 667, 667, 769, 519, 1657, 972, 616, 476, 272, 20453, 267, 476, 273, 546, 1307, 476, 272, 10116, 815, 476, 1839, 21347, 476, 273, 546, 1307, 815, 476, 1015, 266, 1015, 815, 476, 736, 21347, 9747, 593, 4946, 649, 1205, 476, 1839, 266, 736, 815, 476, 3393, 21347, 8382, 281, 8096, 271, 269, 3393, 19648, 281, 8382, 519, 1739, 2055, 269, 4746, 2328, 693, 548, 770, 476, 1015, 1806, 540, 596, 1378, 563, 1627, 476, 272, 281, 8096, 12101, 8961, 291, 267, 291, 267, 303, 267, 303, 15478, 476, 273, 269, 5325, 15478, 476, 272, 269, 2420, 15478, 476, 273, 269, 2420, 15478, 476, 274, 269, 2420, 1627, 476, 273, 281, 8096, 12101, 8961, 291, 267, 291, 267, 301, 267, 301, 267, 301, 267, 303, 267, 303, 15478, 476, 272, 269, 4391, 15478, 476, 274, 269, 4391, 15478, 476, 273, 269, 4391, 15478, 476, 273, 269, 7830, 1627, 476, 274, 281, 8096, 267, 304, 267, 291, 267, 291, 267, 291, 267, 301, 267, 301, 267, 301, 267, 303, 267, 303, 267, 303, 15478, 476, 272, 269, 10463, 15478, 476, 271, 269, 10463, 15478, 476, 272, 269, 7176, 15478, 476, 273, 269, 10463, 7726, 476, 275, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 256, 7726, 476, 276, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 256, 7726, 476, 277, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 256, 7726, 476, 278, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 256, 7726, 476, 279, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 303, 2716, 580, 20199, 630, 31673, 2096, 14007, 8715, 659, 787, 17218, 264, 568, 513, 5068, 1570, 267, 849, 1634, 607, 28778, 4837, 610, 533, 2716, 580, 20199, 269, 4706, 4162, 1331, 1164, 11413, 267, 1164, 1764, 543, 11523, 4187, 543, 8897, 540, 4393, 269, 898, 568, 2139, 538, 513, 2681, 1652, 543, 11954, 8747, 269, 769, 519, 586, 778, 1154, 2872, 267, 621, 568, 1031, 538, 519, 5478, 540, 2427, 22651, 267, 4023, 902, 267, 13959, 3118, 2609, 543, 1166, 2355, 563, 295, 7894, 292, 12545, 1107, 670, 7894, 292, 6763, 585, 1164, 29213, 4874, 26120, 269, 901, 1570, 6353, 676, 1164, 4222, 543, 8112, 568, 2922, 543, 814, 1100, 2942, 1764, 593, 519, 2067, 1604, 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 ]
[ 0, 258, 6004, 269, 5244, 454, 258, 10298, 454, 258, 476, 1015, 269, 1428, 269, 1240, 454, 258, 11638, 1255, 540, 476, 274, 610, 476, 276, 692, 258, 4756, 3355, 1436, 454, 11034, 815, 476, 272, 454, 20135, 23544, 815, 476, 271, 692, 258, 3403, 454, 11133, 815, 703, 9272, 2891, 11767, 513, 1871, 3152, 982, 476, 276, 281, 834, 11723, 258, 4393, 1299, 3977, 454, 6112, 1376, 10922, 1003, 912, 14851, 1376, 4939, 476, 274, 2652, 476, 271, 610, 1376, 4939, 476, 276, 2652, 476, 271, 912, 453, 453, 20135, 23544, 6834, 1376, 692, 453, 11034, 6834, 476, 272, 454, 258, 1439, 540, 1247, 692, 2745, 3488, 763, 2698, 2040, 540, 782, 2338, 896, 281, 3299, 1003, 267, 1412, 7474, 616, 16883, 676, 476, 274, 610, 476, 276, 568, 281, 3299, 2698, 23544, 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 ]
[ 0, 293, 1168, 518, 982, 3368, 540, 1004, 538, 519, 5177, 29311, 519, 3689, 2622, 2782, 6905, 3564, 2342, 267, 513, 1007, 1867, 814, 3254, 563, 6097, 547, 519, 1867, 267, 3812, 689, 1382, 676, 519, 3703, 7027, 267, 1034, 1004, 781, 1702, 540, 519, 4279, 2782, 910, 799, 3459, 476, 1911, 1296, 3516, 910, 568, 3908, 547, 8165, 593, 519, 5375, 13571, 563, 763, 3561, 910, 5457, 634, 2622, 1306, 4270, 1306, 634, 2782, 910, 8761, 513, 3668, 540, 1620, 540, 519, 2518, 4336, 543, 1764, 540, 519, 2112, 267, 543, 7125, 593, 519, 5177, 543, 519, 1964, 540, 519, 1158, 547, 946, 8521, 5765, 1298, 32418, 16033, 725, 547, 948, 1004, 2744, 513, 1732, 1620, 540, 519, 2518, 2470, 540, 519, 4655, 563, 5415, 1283, 3377, 454, 763, 865, 10777, 9099, 3557, 5950, 513, 3948, 10246, 3101, 789, 1185, 8929, 1524, 513, 2475, 2112, 30350, 936, 12925, 563, 763, 3529, 267, 799, 11124, 3105, 2842, 3441, 538, 476, 1001, 272, 267, 729, 1500, 4583, 998, 519, 5929, 476, 1960, 275, 21569, 19874, 4670, 588, 18732, 21546, 6154, 17507, 563, 763, 3703, 7332, 6460, 29739, 646, 568, 711, 834, 9690, 569, 257, 513, 25142, 538, 16850, 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, 5149, 5811, 692, 2252, 596, 1810, 1405, 1294, 519, 14318, 267, 596, 991, 547, 4647, 519, 18044, 11690, 2987, 780, 31535, 519, 5888, 540, 7623, 4559, 2337, 596, 547, 2638, 3435, 540, 6323, 2042, 269, 1411, 917, 602, 960, 543, 1648, 616, 6027, 538, 795, 537, 956, 630, 297, 264, 543, 1379, 568, 2268, 538, 26334, 630, 310, 1040, 1924, 267, 952, 596, 12990, 519, 4559, 883, 519, 4834, 519, 1058, 2569, 547, 519, 3617, 1770, 269, 4635, 13053, 781, 2034, 1876, 649, 666, 2638, 519, 3196, 1770, 1384, 293, 815, 12103, 454, 293, 815, 4846, 6398, 544, 4882, 273, 454, 293, 815, 715, 692, 2690, 576, 568, 6027, 538, 1007, 27971, 267, 4061, 1384, 11899, 6398, 544, 4882, 273, 815, 715, 692, 1432, 827, 960, 267, 1648, 543, 1379, 2496, 13480, 1384, 310, 815, 674, 323, 454, 310, 815, 715, 6398, 544, 454, 310, 815, 808, 454, 301, 6398, 544, 815, 808, 692, 294, 9545, 527, 1049, 15783, 6052, 1384, 22977, 815, 544, 724, 454, 22977, 815, 4846, 6398, 544, 4882, 273, 6398, 544, 454, 22977, 815, 715, 6398, 544, 454, 22977, 815, 808, 692, 298, 514, 2045, 6052, 1384, 292, 330, 815, 476, 16006, 630, 332, 341, 273, 994, 292, 330, 815, 4846, 6398, 630, 332, 4882, 264, 273, 454, 292, 330, 815, 4846, 6398, 630, 332, 4882, 273, 264, 6398, 544, 454, 292, 330, 815, 715, 6398, 544, 454, 292, 330, 815, 808, 692, 20175, 1384, 303, 815, 654, 21680, 512, 454, 303, 815, 674, 323, 21680, 512, 454, 303, 815, 715, 6398, 544, 21680, 521, 454, 303, 815, 808, 21680, 521, 454, 303, 815, 654, 454, 297, 4882, 815, 654 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 264, 630, 273, 2798, 264, 3503, 513, 5124, 23650, 602, 6238, 609, 1079, 5569, 4632, 454, 258, 672, 513, 284, 834, 266, 4840, 258, 672, 536, 815, 29038, 4840, 258, 1411, 666, 13594, 891, 1927, 609, 519, 1341, 607, 2630, 912, 258, 8587, 524, 815, 513, 1341, 536, 454, 258, 1411, 1616, 547, 1711, 519, 476, 3393, 7302, 541, 1461, 5569, 2630, 1210, 607, 1906, 23937, 607, 2009, 563, 258, 834, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 268, 266, 5016, 454, 320, 6889, 266, 4840, 321, 6889, 268, 4840, 322, 30381, 17070, 454, 2745, 6262, 265, 2420, 266, 320, 9239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3047, 4303, 568, 9976, 1169, 1032, 593, 4989, 476, 2420, 526, 11053, 820, 930, 942, 547, 1265, 856, 827, 875, 835, 812, 267, 15367, 729, 5462, 547, 1689, 519, 1259, 649, 5701, 938, 4541, 28504, 573, 333, 1405, 3247, 2394, 646, 1185, 1500, 513, 3017, 269, 769, 476, 3422, 274, 267, 25938, 1807, 22985, 331, 867, 20307, 7012, 1405, 6126, 609, 519, 3618, 781, 2783, 269, 3891, 4941, 547, 2973, 909, 519, 4541, 29679, 9876, 5533, 543, 2825, 2042, 6993, 6845, 1807, 476, 568, 2576, 2475, 4961, 3442, 547, 948, 1118, 4031, 267, 810, 22985, 331, 867, 1185, 513, 2603, 540, 1379, 269, 3891, 4682, 547, 3627, 674, 14389, 523, 15326, 32586, 5518, 693, 519, 942, 267, 5976, 1010, 2093, 7868, 5518, 8815, 602, 519, 4541, 781, 1604, 729, 513, 3978, 3390, 267, 810, 5518, 17394, 4682, 1472, 519, 2197, 593, 513, 2947, 6377, 4663, 547, 3895, 519, 2856, 540, 7738, 909, 519, 4541, 269, 10144, 3459, 1818, 1507, 2242, 855, 621, 7012, 1405, 2614, 269, 589, 1906, 1296, 2663, 267, 25938, 1807, 20307, 4956, 547, 2322, 835, 1554, 11735, 1169, 1032, 585, 519, 2014, 540, 9494, 519, 4541, 269, 4002, 4989, 476, 2420, 267, 3192, 271, 32586, 1101, 3047, 4303, 729, 9976, 21457, 982, 476, 736, 2929, 1004, 3576, 851, 538, 3047, 4303, 2238, 538, 476, 3192, 271, 2529, 1550, 1287, 267, 24618, 4303, 814, 1831, 606, 3486, 9702, 269, 10144, 782, 936, 519, 1158, 616, 3257, 1945, 547, 1118, 519, 3618, 513, 15777, 14720, 21392, 1747, 269, 589, 4224, 6512, 3957, 667, 1090, 541, 4821, 5206, 513, 5152, 827, 3047, 4303, 538, 476, 1960, 274, 1572, 1548, 3657, 1284, 22167, 3534, 1684, 269, 21886, 15758, 707, 1920, 547, 22120, 593, 513, 2834, 4493, 568, 513, 1434, 1259, 547, 948, 519, 3618, 269, 1548, 1705, 5518, 17394, 798, 547, 3895, 519, 2856, 540, 7738, 909, 519, 3618, 888, 271, 269, 1261, 3957, 22985, 331, 867, 20307, 6845, 1807, 563, 272, 269, 1261, 4682, 1472, 519, 2197, 593, 513, 2947, 6377, 4663, 563, 273, 269, 1261, 19345, 1010, 5604, 1169, 1554, 563, 274, 269, 1261, 4956, 547, 2322, 835, 1554, 11735, 585, 3047, 4303, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 531, 684, 334, 815, 31460, 743, 21692, 815, 29129, 6112, 6936, 912, 825, 1820, 4590, 825, 620, 684, 334, 9131, 333, 727, 11172, 815, 1193, 9272, 2891, 301, 727, 798, 620, 684, 334, 281, 834, 26895, 29328, 4590, 825, 620, 684, 334, 9131, 332, 4215, 11172, 815, 10581, 9272, 2891, 300, 2946, 29953, 798, 620, 684, 334, 281, 27328, 825, 952, 620, 684, 334, 9131, 332, 4215, 11172, 13843, 476, 278, 269, 271, 912, 1038, 620, 684, 334, 9131, 338, 15856, 659, 7776, 11172, 815, 1412, 288, 25075, 5964, 7055, 825, 8640, 476, 276, 10922, 620, 684, 334, 9131, 332, 4215, 11172, 2999, 476, 278, 912, 1038, 620, 684, 334, 9131, 338, 15856, 659, 7776, 11172, 815, 1412, 10387, 5589, 10967, 320, 23843, 7055, 825, 3116, 912, 1038, 620, 684, 334, 9131, 338, 15856, 659, 7776, 11172, 815, 1412, 11847, 22201, 5964, 7055, 825, 804, 21692, 6910, 263, 531, 684, 334, 6983, 4878, 31156, 825, 1039, 815, 1193, 9272, 2891, 3849, 20601, 541, 544, 9820, 620, 684, 657, 314, 306, 21610, 13912, 834, 26895, 29328, 14061, 21639, 4590, 825, 1247, 1039, 711, 538, 1412, 17928, 12466, 1038, 1039, 815, 1193, 9272, 2891, 3849, 20601, 541, 544, 9820, 620, 684, 657, 314, 306, 21610, 13912, 834, 26895, 29328, 14061, 21639, 4590, 825, 952, 1039, 2652, 1412, 301, 12466, 1038, 2736, 692, 2745, 28361, 333, 306, 527, 7699, 23843, 6298, 17845, 332, 3821, 281, 5073, 1721, 1609, 644, 14397, 538, 804, 21692, 912, 825, 1820, 6600, 257, 346, 652, 644, 14397, 9131, 333, 727, 11172, 348, 9847, 2715, 652, 644, 14397, 9131, 338, 15856, 659, 7776, 11172, 348, 5602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2108, 8794, 513, 2165, 899, 2048, 12061, 15035, 2257, 685, 568, 899, 13288, 547, 519, 13557, 540, 18186, 1108, 607, 2048, 1492, 1353, 540, 9039, 548, 11244, 2831, 10200, 9232, 454, 21900, 648, 531, 2065, 17021, 8942, 547, 1118, 606, 3239, 967, 626, 3907, 27720, 689, 513, 8523, 269, 6348, 14428, 582, 648, 531, 2065, 17021, 630, 301, 11266, 1070, 849, 1572, 18935, 1242, 17021, 267, 814, 513, 2647, 2039, 540, 3853, 269, 2290, 6662, 540, 930, 3029, 540, 715, 11266, 568, 547, 1711, 2592, 2147, 547, 2930, 12383, 269, 8307, 1346, 3877, 4143, 547, 519, 3804, 540, 519, 1880, 3498, 616, 519, 3283, 602, 1058, 581, 10268, 269, 1280, 1383, 267, 513, 8523, 540, 513, 21743, 12113, 337, 926, 2599, 949, 581, 3730, 538, 9513, 519, 1286, 547, 513, 6075, 267, 855, 547, 7816, 519, 2599, 267, 513, 16866, 1899, 5373, 609, 519, 4143, 2694, 12006, 4429, 7476, 7464, 6874, 830, 681, 754, 1359, 267, 19549, 9990, 267, 476, 275, 628, 9990, 1631, 609, 519, 744, 685, 3725, 11035, 1565, 3760, 563, 302, 685, 3725, 11035, 2818, 1995, 2835, 267, 2661, 2621, 267, 6030, 26940, 676, 2816, 1909, 267, 543, 811, 689, 744, 685, 3725, 11035, 543, 5176, 476, 1220, 1283, 21101, 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 ]
[ 0, 2252, 589, 815, 2999, 273, 2073, 272, 2073, 279, 3436, 267, 645, 815, 2999, 276, 2073, 273, 2073, 274, 3436, 543, 595, 284, 288, 5174, 267, 1018, 568, 519, 5086, 1063, 589, 543, 595, 2496, 21801, 476, 1015, 267, 476, 1001, 279, 692, 7445, 9064, 1422, 13627, 2715, 5325, 269, 11025, 23685, 15132, 10592, 15008, 1384, 259, 290, 815, 589, 910, 645, 815, 1422, 3847, 263, 273, 2073, 476, 272, 2073, 476, 279, 9368, 264, 910, 1422, 3847, 263, 276, 2073, 476, 273, 2073, 476, 274, 9368, 264, 815, 1422, 3847, 8987, 476, 274, 2073, 910, 476, 272, 2073, 476, 276, 9368, 22491, 259, 288, 1422, 10383, 595, 815, 1923, 589, 1923, 1923, 595, 1923, 1422, 6523, 1422, 9064, 6911, 6523, 23940, 815, 2715, 288, 524, 25346, 595, 348, 270, 346, 347, 288, 1475, 290, 347, 348, 815, 2715, 273, 8987, 274, 11924, 272, 8987, 272, 11924, 279, 263, 276, 14587, 270, 346, 6912, 18950, 273, 317, 273, 266, 272, 317, 273, 266, 279, 317, 273, 7565, 274, 317, 273, 266, 272, 317, 273, 266, 276, 317, 273, 14587, 7684, 284, 476, 1556, 21762, 263, 274, 270, 3199, 276, 2020, 7445, 9064, 1422, 13627, 2715, 5325, 269, 11025, 23685, 15132, 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 ]
[ 0, 258, 24315, 4456, 966, 3041, 12778, 306, 692, 5472, 827, 3540, 4070, 1702, 268, 24315, 4456, 966, 3041, 12778, 306, 692, 2162, 1215, 547, 5173, 519, 4320, 1299, 2597, 540, 1570, 538, 513, 5754, 9366, 14903, 286, 270, 29626, 519, 7274, 540, 5070, 538, 513, 1728, 9366, 14903, 780, 4131, 721, 5173, 519, 7274, 540, 5070, 538, 513, 1728, 9366, 14903, 607, 3254, 2630, 780, 2026, 596, 666, 7747, 538, 519, 1657, 3239, 267, 519, 14903, 1560, 568, 7148, 1229, 693, 835, 1439, 1299, 519, 5070, 568, 4904, 1657, 519, 8708, 1377, 540, 519, 14903, 780, 3383, 267, 519, 3259, 540, 519, 8708, 1058, 581, 6027, 693, 519, 1283, 630, 700, 272, 264, 1299, 5377, 630, 299, 273, 264, 540, 519, 1560, 630, 27903, 3259, 264, 1299, 3328, 3259, 1058, 581, 7229, 780, 3086, 519, 2243, 568, 267, 875, 547, 1265, 519, 3178, 540, 519, 5070, 607, 621, 568, 1657, 519, 8708, 1377, 2496, 2791, 723, 547, 7696, 476, 1626, 7825, 269, 5374, 11425, 693, 1114, 6753, 689, 519, 1283, 540, 519, 5070, 267, 2394, 621, 18953, 519, 5377, 1377, 269, 2311, 2547, 476, 274, 13220, 1058, 581, 3144, 547, 1265, 519, 3328, 3178, 630, 291, 1040, 1403, 596, 1491, 811, 13220, 693, 1114, 2798, 267, 621, 786, 2333, 519, 6111, 540, 519, 7229, 3328, 3178, 780, 3086, 1577, 721, 2015, 513, 1728, 9366, 14903, 609, 7403, 607, 3254, 2630, 780, 11693, 1239, 1384, 12749, 3259, 815, 700, 272, 815, 476, 276, 332, 780, 289, 18847, 3259, 700, 273, 815, 476, 275, 269, 274, 332, 780, 310, 5954, 815, 654, 815, 273, 269, 1839, 332, 780, 291, 3704, 554, 272, 815, 476, 272, 269, 4817, 332, 780, 291, 3704, 554, 273, 815, 476, 273, 269, 1428, 332, 780, 291, 3704, 554, 274, 815, 476, 272, 269, 280, 332, 780, 15612, 566, 1384, 763, 4320, 540, 5070, 692, 309, 815, 1496, 320, 2071, 3259, 16044, 483, 4560, 16044, 483, 3328, 3178, 6540, 2080, 10484, 30182, 3259, 692, 299, 815, 1496, 299, 272, 1341, 299, 273, 476, 273, 6540, 284, 1496, 276, 332, 269, 1341, 476, 275, 269, 274, 332, 269, 476, 273, 6540, 284, 1496, 280, 269, 274, 332, 476, 273, 6540, 299, 284, 476, 275, 269, 4792, 332, 780, 30182, 3178, 692, 291, 815, 1496, 327, 272, 1341, 327, 273, 1341, 327, 274, 476, 273, 6540, 284, 1496, 272, 269, 4817, 332, 269, 1341, 476, 273, 269, 1428, 332, 269, 1341, 272, 269, 280, 332, 269, 476, 274, 6540, 284, 1496, 277, 476, 274, 6540, 291, 815, 476, 273, 269, 271, 332, 780, 763, 4320, 540, 5070, 692, 309, 815, 1496, 700, 16044, 483, 654, 16044, 483, 667, 6540, 284, 1496, 476, 275, 269, 4792, 332, 269, 16044, 483, 476, 273, 269, 1839, 332, 269, 16044, 483, 476, 273, 332, 269, 6540, 309, 815, 476, 736, 269, 280, 1839, 544, 23326, 780, 763, 2019, 269, 540, 5070, 538, 24140, 269, 10264, 692, 309, 815, 1496, 736, 269, 280, 1839, 16044, 483, 476, 3374, 269, 25628, 6540, 309, 815, 476, 278, 4343, 269, 9032, 10264, 23326, 692, 763, 2019, 269, 540, 5070, 538, 21567, 692, 284, 1496, 278, 4343, 269, 9032, 10264, 23326, 476, 1911, 6540, 284, 476, 278, 269, 4375, 21567, 780, 763, 530, 339, 269, 540, 5070, 538, 513, 9522, 692, 284, 1496, 14179, 2541, 538, 544, 23326, 16044, 483, 5860, 538, 11973, 9522, 270, 544, 23326, 6540, 284, 1496, 736, 269, 280, 1839, 332, 23326, 1109, 16044, 483, 476, 272, 269, 277, 9522, 270, 544, 23326, 6540, 284, 476, 3451, 269, 4366, 9522, 780, 9616, 281, 634, 5860, 540, 5070, 9775, 689, 476, 272, 269, 276, 2023, 8276, 23326, 269, 547, 476, 272, 269, 280, 2023, 8276, 23326, 269, 4470, 2390, 519, 1826, 1299, 9325, 2450, 540, 5070, 269, 1717, 267, 585, 519, 9819, 3483, 267, 476, 272, 269, 277, 9522, 270, 544, 23326, 568, 2808, 780, 14188, 596, 585, 2469, 998, 891, 9819, 3268, 269, 1109, 5970, 513, 1434, 1554, 1109, 6930, 502, 482, 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 ]
[ 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 2186, 543, 9543, 1352, 23311, 3957, 6341, 269, 5272, 1554, 267, 6341, 1131, 1491, 1010, 13265, 547, 3039, 2250, 999, 1141, 789, 1223, 1178, 2763, 543, 4235, 4195, 1216, 269, 1261, 6068, 1142, 543, 1169, 835, 540, 1010, 13265, 632, 8765, 780, 3080, 1554, 267, 607, 6341, 729, 8384, 936, 1010, 26600, 267, 646, 8068, 602, 835, 2370, 23758, 1185, 18389, 1229, 1055, 269, 634, 2370, 23758, 781, 2012, 729, 15039, 267, 543, 1352, 729, 2141, 8049, 543, 27093, 269, 6341, 6785, 602, 646, 7948, 1405, 4734, 15039, 4805, 538, 519, 19069, 1317, 1945, 3983, 1522, 4755, 547, 1200, 269, 1924, 267, 646, 4956, 547, 979, 1413, 585, 1200, 780, 21579, 22646, 1164, 543, 1970, 2394, 646, 6368, 1336, 15039, 2282, 513, 6908, 269, 2701, 6743, 6126, 543, 1543, 855, 849, 513, 3787, 18901, 269, 6341, 9900, 13603, 1200, 909, 543, 5645, 1200, 1394, 547, 519, 3106, 540, 519, 26600, 269, 1879, 789, 8452, 267, 782, 519, 824, 13265, 941, 19914, 547, 1294, 15039, 2922, 543, 3280, 780, 2026, 6341, 2322, 15039, 1524, 267, 646, 7691, 602, 713, 729, 899, 513, 2027, 1650, 4906, 5143, 721, 1572, 834, 763, 3474, 762, 540, 519, 23452, 2701, 788, 1701, 769, 519, 1650, 267, 4906, 1767, 602, 952, 513, 1352, 23311, 814, 476, 1911, 13265, 543, 835, 4422, 7508, 267, 646, 786, 4734, 519, 476, 4200, 3297, 547, 3406, 585, 519, 4503, 835, 2394, 646, 9060, 621, 269, 3973, 267, 950, 646, 6770, 519, 4503, 13265, 1753, 267, 646, 786, 581, 18668, 982, 952, 646, 1185, 711, 4503, 621, 269, 901, 2982, 875, 1454, 2696, 14560, 1142, 543, 1169, 835, 540, 721, 267, 1100, 2339, 1018, 780, 3086, 4952, 596, 3893, 4503, 538, 513, 6288, 610, 513, 32041, 267, 707, 544, 20207, 610, 546, 23098, 1131, 2097, 3168, 585, 596, 2394, 789, 1265, 596, 1317, 789, 2648, 596, 865, 1454, 256, 3807, 899, 6341, 543, 519, 1434, 1352, 23311, 538, 519, 1650, 267, 938, 3237, 786, 2141, 2119, 741, 1655, 547, 1832, 721, 2922, 543, 3142, 721, 1394, 1753, 780, 3383, 3314, 267, 1256, 952, 649, 1205, 4503, 3006, 267, 972, 568, 2141, 2576, 945, 30128, 2614, 547, 2097, 3168, 585, 721, 543, 948, 721, 1265, 938, 1259, 1394, 1753, 269, 2060, 602, 2219, 538, 2247, 267, 1577, 781, 9684, 2696, 585, 15962, 721, 14955, 3431, 543, 7281, 585, 3571, 4797, 5583, 538, 3388, 649, 798, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 301, 792, 519, 1439, 540, 18332, 20736, 836, 779, 30237, 673, 835, 19840, 1404, 590, 3563, 6307, 22695, 520, 3780, 4112, 1622, 898, 2353, 585, 1411, 267, 519, 2140, 1915, 22534, 4666, 835, 15141, 1190, 5449, 2875, 538, 1582, 12413, 1619, 543, 6585, 1614, 1866, 693, 7784, 4812, 1354, 15294, 1359, 835, 540, 873, 630, 1492, 14447, 835, 1040, 18601, 519, 5304, 1282, 513, 4090, 540, 9350, 1063, 519, 9496, 902, 267, 590, 3563, 6307, 22695, 520, 3780, 1202, 1235, 267, 968, 7197, 540, 1250, 1053, 5828, 856, 18991, 267, 891, 616, 519, 1906, 17756, 1848, 2701, 1287, 7140, 547, 1200, 5722, 4458, 6040, 3942, 13930, 267, 7338, 269, 968, 3719, 649, 2760, 2285, 909, 593, 1346, 945, 4076, 5828, 856, 21354, 267, 798, 649, 9495, 1352, 12134, 538, 6654, 3983, 5132, 269, 968, 1432, 568, 519, 1650, 540, 519, 6153, 2701, 23311, 543, 519, 23452, 2701, 788, 18313, 8025, 6865, 3008, 281, 634, 6153, 2701, 23311, 729, 865, 7255, 827, 1010, 23452, 2701, 788, 602, 1261, 2451, 1010, 26600, 547, 979, 1265, 519, 23452, 2701, 788, 267, 543, 1287, 1261, 1336, 621, 563, 306, 8780, 2207, 281, 2334, 779, 1318, 269, 1656, 1247, 646, 729, 8854, 267, 513, 1390, 2462, 18896, 3357, 543, 7166, 1010, 454, 550, 790, 26600, 269, 3143, 267, 1175, 737, 27570, 269, 594, 6557, 4743, 1769, 20243, 689, 782, 713, 10761, 563, 7661, 267, 590, 3563, 1011, 545, 919, 519, 1612, 762, 538, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16241, 1315, 4168, 1315, 8061, 10899, 1299, 27302, 1315, 4168, 12389, 585, 8866, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 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 ]
[ 0, 5226, 652, 12143, 476, 278, 3491, 21793, 692, 258, 2372, 652, 12143, 476, 278, 3491, 21793, 910, 2892, 12011, 5271, 630, 529, 5379, 277, 274, 264, 1107, 2372, 652, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 2892, 12011, 5271, 630, 529, 5379, 277, 274, 264, 1107, 2372, 652, 12143, 476, 278, 1107, 11425, 514, 1107, 630, 276, 3393, 736, 264, 476, 272, 901, 1820, 13050, 1058, 723, 476, 1015, 2055, 269, 13038, 31547, 2055, 949, 3136, 593, 519, 1985, 6241, 610, 2985, 1107, 1265, 782, 5079, 1354, 16460, 269, 476, 9826, 476, 1015, 269, 271, 2798, 14419, 519, 8953, 540, 19427, 267, 681, 2073, 540, 519, 3126, 3980, 508, 562, 815, 476, 272, 11196, 476, 272, 264, 562, 476, 276, 562, 630, 562, 1341, 476, 275, 264, 1535, 562, 1547, 476, 272, 269, 681, 815, 476, 272, 476, 276, 476, 273, 269, 681, 815, 476, 275, 476, 274, 269, 681, 815, 3980, 508, 476, 275, 269, 681, 815, 476, 276, 476, 276, 269, 681, 815, 476, 271, 476, 277, 269, 681, 815, 476, 272, 476, 275, 476, 16573, 476, 1015, 269, 271, 2798, 4855, 519, 8884, 540, 19427, 540, 519, 694, 268, 678, 625, 3980, 508, 562, 815, 272, 11196, 562, 3738, 562, 1535, 562, 476, 273, 562, 1547, 476, 272, 269, 8884, 540, 524, 326, 576, 815, 11196, 476, 272, 2073, 476, 272, 316, 476, 273, 269, 8884, 540, 524, 326, 576, 815, 30585, 476, 273, 2073, 476, 273, 264, 476, 274, 269, 8884, 540, 524, 326, 576, 815, 11196, 476, 273, 2073, 476, 273, 316, 476, 275, 269, 4780, 2471, 1152, 693, 1535, 815, 476, 271, 476, 276, 269, 8884, 540, 524, 326, 576, 815, 30585, 476, 272, 2073, 476, 272, 264, 476, 277, 269, 8884, 540, 524, 326, 576, 815, 11196, 476, 272, 2073, 476, 272, 264, 476, 19740, 476, 1015, 269, 271, 2798, 14419, 519, 8884, 540, 19427, 540, 519, 12808, 3126, 3980, 508, 562, 815, 272, 1535, 562, 630, 562, 1341, 476, 275, 25631, 1547, 476, 272, 269, 8884, 19427, 815, 30585, 476, 275, 2073, 476, 275, 316, 476, 273, 269, 8884, 19427, 815, 11196, 31236, 2073, 3980, 508, 3738, 476, 274, 269, 4780, 2471, 1152, 693, 1535, 815, 476, 271, 476, 275, 269, 8884, 19427, 815, 11196, 476, 275, 2073, 476, 275, 264, 476, 276, 269, 8884, 19427, 815, 30585, 476, 272, 2073, 476, 272, 316, 476, 277, 269, 8884, 19427, 815, 11196, 476, 272, 2073, 476, 272, 316, 476, 21916, 476, 1015, 269, 271, 2798, 4855, 519, 8884, 540, 19427, 540, 519, 2483, 8698, 9509, 11657, 692, 1012, 901, 4063, 729, 23345, 593, 476, 6349, 270, 2641, 270, 1001, 273, 585, 519, 1576, 631, 476, 2412, 279, 323, 6026, 676, 7905, 19759, 2401, 1282, 519, 12096, 1412, 5881, 2165, 693, 2160, 540, 7147, 780, 2162, 8525, 272, 1315, 476, 274, 692, 5226, 652, 12143, 476, 278, 3491, 21793, 910, 2892, 12011, 5271, 630, 529, 5379, 277, 274, 264, 1107, 2372, 652, 13718, 1607, 12744, 2982, 3561, 3817, 476, 272, 910, 476, 273, 269, 6178, 909, 547, 2070, 519, 2407, 3561, 780, 8698, 9509, 11657, 454, 16485, 513, 6780, 2243, 910, 21493, 616, 2228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21837, 14642, 13871, 18078, 17106, 11333, 3820, 454, 3412, 7964, 543, 24745, 281, 513, 2413, 15977, 1353, 585, 16208, 11635, 6520, 543, 4936, 4123, 538, 2887, 578, 13650, 1884, 6840, 454, 763, 3864, 674, 9994, 13650, 630, 291, 4821, 2481, 320, 2481, 320, 264, 2968, 17255, 538, 519, 3703, 1772, 956, 543, 1034, 540, 18626, 2342, 693, 519, 942, 540, 519, 7831, 3794, 18432, 26228, 267, 609, 519, 2249, 4742, 11658, 547, 606, 26277, 565, 1014, 1201, 1872, 1756, 630, 22709, 564, 328, 1696, 620, 269, 476, 1220, 279, 1040, 5274, 24975, 32543, 1238, 2388, 8507, 538, 2887, 578, 5095, 538, 10910, 3941, 267, 24558, 1176, 267, 26864, 528, 8619, 267, 30345, 807, 543, 824, 2694, 540, 7262, 2342, 630, 306, 344, 7719, 1696, 620, 269, 476, 1001, 274, 1040, 16828, 267, 519, 2249, 729, 4547, 547, 6628, 676, 519, 14564, 1282, 519, 476, 272, 560, 2540, 5084, 267, 609, 513, 9960, 2551, 1373, 3964, 693, 12551, 20860, 4936, 20066, 630, 306, 344, 7719, 1696, 620, 269, 476, 1001, 272, 1040, 634, 1480, 3310, 593, 519, 1459, 6377, 3892, 540, 519, 2249, 2306, 621, 3226, 4277, 689, 513, 23291, 1105, 2801, 1670, 5133, 563, 1607, 1957, 6257, 1250, 9049, 322, 1382, 267, 607, 851, 540, 519, 589, 295, 13612, 30845, 1788, 667, 4821, 4139, 281, 674, 9994, 1546, 518, 543, 3864, 5980, 476, 7785, 271, 7460, 1700, 4696, 476, 8182, 271, 267, 3168, 693, 1884, 6840, 689, 11635, 6520, 543, 4936, 4609, 538, 6628, 585, 2963, 540, 4123, 538, 1560, 2694, 543, 2436, 713, 666, 581, 19286, 730, 676, 513, 6252, 7123, 24236, 1353, 540, 2413, 2887, 578, 1884, 6840, 540, 1634, 8810, 766, 563, 347, 22711, 9137, 7392, 1475, 20684, 2008, 347, 26397, 11261, 1475, 11321, 476, 1626, 267, 476, 1001, 278, 2008, 347, 22711, 1475, 303, 3639, 689, 519, 4659, 540, 26337, 2008, 347, 8248, 518, 5623, 539, 1475, 8248, 518, 5623, 539, 2008, 347, 4338, 288, 277, 27375, 1475, 11675, 13871, 267, 667, 269, 630, 1001, 278, 1040, 7383, 338, 543, 24745, 281, 513, 2413, 15977, 1353, 585, 16208, 11635, 6520, 543, 4936, 4123, 538, 2887, 578, 13650, 1884, 6840, 269, 14430, 689, 519, 4659, 540, 26337, 267, 476, 2767, 263, 272, 1070, 4179, 2517, 8742, 3820, 270, 1015, 269, 276, 3451, 275, 9706, 807, 268, 4366, 273, 2008, 347, 21292, 1475, 1805, 762, 24236, 2079, 2008, 347, 15648, 15048, 1475, 15648, 1344, 3823, 713, 960, 666, 581, 1336, 693, 519, 1739, 2232, 281, 5291, 2517, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 270, 275, 269, 271, 2008, 15648, 1344, 3823, 713, 960, 666, 581, 1336, 693, 519, 1739, 2232, 281, 5291, 2517, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 270, 275, 269, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 611, 11187, 267, 606, 6440, 326, 686, 6440, 518, 267, 606, 6440, 326, 686, 6440, 652, 563, 14300, 689, 519, 5680, 585, 14220, 454, 2414, 10210, 606, 2025, 1318, 26310, 6158, 1448, 267, 891, 1004, 616, 14220, 1100, 2339, 1018, 649, 798, 563, 5327, 1068, 717, 6504, 532, 568, 519, 1253, 20746, 540, 4911, 787, 20002, 883, 922, 6986, 560, 9759, 563, 3719, 2094, 602, 16411, 540, 8560, 267, 4911, 787, 20002, 814, 1831, 827, 3388, 3116, 563, 4517, 538, 713, 1259, 267, 621, 5205, 711, 1018, 4911, 787, 20002, 2968, 267, 855, 875, 621, 3459, 563, 17951, 787, 20002, 693, 922, 14724, 729, 519, 1482, 1259, 267, 1498, 596, 4941, 547, 4585, 1919, 12900, 543, 1011, 1712, 563, 2690, 8197, 594, 993, 711, 540, 12343, 2614, 585, 1250, 4487, 547, 6161, 5128, 267, 543, 581, 14220, 827, 971, 513, 13442, 607, 803, 10422, 600, 11253, 267, 610, 12484, 826, 25166, 12023, 16085, 600, 3241, 27672, 517, 454, 1320, 537, 1590, 711, 581, 14220, 609, 803, 267, 1250, 3993, 282, 1152, 535, 8962, 1205, 14220, 693, 519, 5168, 6993, 32201, 2006, 781, 29321, 347, 296, 7079, 5695, 2102, 773, 742, 454, 3891, 729, 865, 14220, 693, 519, 3662, 267, 602, 646, 10443, 1310, 621, 267, 25868, 621, 267, 543, 546, 14414, 922, 1272, 856, 1996, 513, 4224, 12171, 559, 760, 3626, 15019, 24079, 347, 5719, 534, 590, 269, 674, 753, 2401, 454, 14367, 524, 2106, 673, 513, 680, 4861, 1185, 2907, 20374, 267, 6028, 513, 12152, 592, 748, 267, 606, 14220, 267, 855, 513, 1480, 1373, 3297, 269, 8248, 764, 822, 328, 347, 292, 269, 654, 269, 24125, 2426, 454, 4517, 607, 1352, 5645, 519, 3801, 1932, 2484, 267, 594, 3893, 14220, 267, 543, 8022, 609, 513, 19259, 519, 929, 29330, 540, 1250, 959, 1211, 267, 594, 6825, 1200, 593, 519, 3138, 1231, 7868, 22186, 7203, 527, 590, 3258, 320, 16085, 558, 1228, 9366, 645, 1002, 3279, 454, 23873, 9218, 8847, 585, 14220, 454, 611, 11187, 910, 326, 8175, 610, 910, 326, 1845, 339, 454, 17504, 18882, 543, 3778, 585, 14220, 454, 17218, 476, 1691, 322, 1421, 689, 10845, 630, 333, 4700, 1341, 910, 344, 630, 273, 1040, 20323, 834, 21459, 540, 8373, 267, 1654, 343, 520, 1190, 282, 257, 2631, 540, 834, 523, 571, 3022, 267, 3352, 622, 257, 849, 568, 689, 3735, 476, 1691, 322, 269, 634, 6196, 25245, 18781, 729, 593, 23950, 21459, 337, 834, 338, 6563, 995, 2437, 543, 5664, 2296, 1185, 10845, 995, 834, 534, 343, 1190, 267, 11235, 257, 630, 13232, 268, 1724, 322, 12175, 634, 8360, 14220, 1762, 812, 7389, 547, 476, 3707, 272, 855, 729, 2442, 1242, 538, 4704, 547, 519, 1404, 834, 16100, 7982, 538, 4911, 518, 257, 630, 335, 22004, 476, 4198, 277, 264, 1498, 621, 1281, 711, 2049, 538, 602, 960, 563, 257, 2467, 616, 1614, 1913, 538, 519, 2296, 1893, 602, 1439, 538, 910, 326, 787, 269, 5565, 540, 873, 616, 14220, 543, 17237, 269, 1548, 568, 519, 3791, 8119, 1703, 568, 1100, 3791, 630, 21955, 930, 5393, 21372, 3283, 1040, 9400, 27439, 19907, 7125, 713, 834, 821, 540, 519, 1034, 30891, 748, 543, 942, 2914, 8463, 10409, 11876, 31320, 538, 938, 4182, 781, 1686, 257, 543, 15244, 621, 547, 513, 1715, 3840, 7641, 7688, 1397, 689, 2038, 476, 3192, 276, 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 ]
[ 0, 289, 895, 609, 281, 11153, 9840, 540, 519, 5600, 540, 12780, 538, 519, 12081, 540, 519, 3735, 3751, 6276, 4083, 605, 1299, 15333, 11341, 547, 519, 10661, 540, 519, 17740, 807, 269, 5507, 9102, 2433, 476, 15433, 278, 282, 1530, 16120, 781, 6644, 540, 513, 7555, 7952, 538, 4789, 269, 5507, 2433, 7179, 539, 585, 589, 269, 25930, 7773, 538, 2782, 19213, 28818, 267, 476, 15433, 280, 11762, 281, 4279, 6628, 269, 8136, 267, 30557, 7952, 454, 2421, 293, 31867, 517, 267, 7917, 267, 546, 269, 476, 14378, 275, 282, 1744, 10762, 525, 12064, 267, 20900, 12891, 2917, 23101, 267, 23778, 540, 267, 476, 14341, 272, 268, 12739, 274, 282, 25930, 7773, 267, 9400, 267, 546, 269, 476, 15433, 279, 267, 1433, 31805, 282, 715, 6614, 267, 8402, 267, 20033, 454, 10454, 4589, 1222, 540, 519, 1101, 1079, 2694, 814, 2356, 1044, 607, 8282, 547, 1744, 10762, 525, 12064, 267, 855, 674, 31867, 517, 6811, 519, 4589, 1222, 540, 519, 2898, 1614, 257, 2687, 547, 667, 301, 289, 17886, 267, 13199, 276, 11762, 281, 1744, 10762, 525, 12064, 267, 20900, 12891, 2917, 23101, 267, 23778, 540, 267, 476, 14341, 272, 268, 12739, 274, 267, 1488, 4445, 961, 267, 5246, 756, 12245, 23720, 267, 23778, 540, 31972, 13900, 323, 676, 11829, 7596, 564, 2160, 7732, 32664, 26888, 543, 19964, 267, 6115, 267, 667, 5861, 269, 630, 322, 7614, 690, 3095, 281, 5291, 2517, 322, 7614, 690, 9884, 337, 331, 322, 3820, 11305, 22080, 1532, 514, 18025, 933, 3691, 935, 6983, 22080, 286, 17668, 2839, 284, 15946, 3607, 280, 272, 264, 11762, 281, 15303, 2762, 267, 30123, 675, 267, 6178, 1893 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15828, 5914, 24800, 270, 7090, 274, 269, 278, 454, 333, 3518, 25507, 9272, 2891, 10938, 513, 1297, 281, 27328, 1721, 1775, 538, 2039, 263, 272, 267, 15381, 266, 272, 2187, 825, 952, 630, 328, 4939, 476, 274, 264, 2652, 476, 271, 543, 630, 328, 4939, 476, 276, 264, 2652, 271, 912, 1038, 1820, 2891, 293, 11170, 31807, 3960, 5602, 825, 8640, 630, 328, 4939, 476, 274, 264, 2652, 476, 271, 912, 1038, 1820, 2891, 293, 11170, 5602, 825, 8640, 630, 328, 4939, 476, 276, 264, 2652, 476, 271, 912, 1038, 1820, 2891, 31807, 3960, 15419 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 5681, 540, 8422, 7089, 1477, 3698, 2040, 19571, 5416, 14720, 22698, 8029, 825, 952, 513, 2525, 321, 2525, 322, 6769, 1038, 2132, 476, 273, 16732, 320, 17070, 25239, 3418, 825, 3116, 6769, 1038, 2132, 513, 17070, 25239, 1477, 2040, 19571, 263, 272, 267, 273, 267, 274, 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 ]
[ 0, 5149, 7170, 281, 4197, 4065, 8750, 532, 543, 31197, 281, 1323, 769, 5937, 3704, 6733, 693, 3427, 16010, 24727, 543, 18489, 3175, 692, 29619, 912, 1607, 1770, 786, 5490, 883, 519, 1950, 1158, 540, 2069, 7616, 543, 14223, 676, 6313, 513, 1808, 15424, 11556, 267, 922, 6286, 585, 1153, 8804, 4507, 267, 543, 1761, 1764, 593, 2875, 1565, 4093, 269, 4635, 513, 2013, 1353, 1935, 267, 713, 1770, 786, 1683, 2104, 7855, 609, 513, 4396, 5748, 538, 1620, 1883, 2035, 4143, 547, 4116, 13995, 4255, 971, 607, 519, 16217, 343, 529, 2910, 3918, 269, 3414, 2502, 5717, 267, 3498, 5751, 267, 543, 8086, 3255, 267, 596, 786, 2263, 875, 9086, 899, 670, 289, 476, 7176, 280, 666, 3310, 4199, 14305, 267, 3872, 9698, 267, 543, 2146, 6278, 538, 3506, 780, 4089, 476, 272, 281, 4985, 547, 4065, 8750, 532, 543, 8889, 692, 265, 16294, 1898, 2474, 281, 18113, 14102, 267, 740, 1130, 648, 332, 3454, 267, 10790, 7968, 4542, 267, 2199, 1852, 267, 543, 1153, 4604, 6392, 563, 265, 9181, 3140, 2796, 543, 4720, 540, 2069, 14104, 12596, 538, 519, 2136, 2276, 563, 265, 25826, 1114, 2010, 540, 8907, 2959, 2139, 547, 1153, 13102, 630, 324, 3052, 1421, 3959, 9204, 267, 6455, 9204, 267, 14828, 267, 3092, 4700, 543, 741, 5383, 543, 11393, 780, 4089, 476, 273, 281, 8865, 5530, 5811, 910, 670, 289, 476, 7176, 280, 281, 7799, 1746, 10871, 6513, 543, 4706, 20480, 692, 265, 10558, 606, 7650, 540, 670, 289, 476, 7176, 280, 267, 1519, 922, 3119, 3853, 543, 14074, 563, 265, 10812, 20887, 4478, 519, 10790, 7968, 4542, 781, 1909, 538, 8159, 513, 8664, 781, 2949, 6578, 563, 265, 10576, 2009, 4539, 540, 7598, 670, 289, 476, 7176, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2080, 779, 513, 2656, 9337, 593, 3356, 547, 4266, 593, 519, 2069, 12014, 649, 616, 8384, 7498, 4002, 519, 5600, 11706, 32261, 513, 6989, 8917, 1107, 21120, 1985, 13628, 267, 4728, 476, 1321, 912, 268, 670, 289, 476, 7176, 280, 1107, 7799, 1080, 10871, 6513, 13478, 1041, 8274, 16958, 1107, 966, 5588, 292, 12971, 1107, 1160, 3031, 1080, 2199, 1153, 12545, 689, 9870, 740, 1130, 648, 332, 9204, 585, 519, 1489, 540, 519, 1153, 8664, 950, 519, 8664, 779, 1533, 267, 2199, 267, 5313, 267, 543, 824, 7482, 9765, 519, 5934, 538, 1533, 543, 2199, 7482, 1572, 585, 538, 519, 10790, 7968, 4542, 269, 10691, 292, 281, 1879, 670, 289, 476, 7176, 280, 729, 4843, 538, 12233, 267, 2818, 941, 5143, 602, 519, 10790, 7968, 4542, 20964, 1018, 513, 8664, 779, 3003, 6578, 1058, 2698, 269, 901, 568, 7301, 269, 634, 10790, 7968, 4542, 20964, 519, 5934, 538, 1533, 543, 2199, 7482, 1152, 602, 513, 1153, 8664, 2115, 538, 1931, 547, 2743, 4571, 7400, 20774, 2787, 4441, 269, 2353, 1153, 13102, 4309, 3606, 5313, 543, 824, 7482, 602, 616, 711, 3769, 538, 519, 4542, 543, 602, 616, 2565, 547, 5870, 519, 2115, 540, 1053, 267, 3226, 1346, 538, 1970, 268, 17314, 2950, 563, 268, 670, 289, 476, 13647, 280, 1107, 7991, 590, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29898, 15978, 1315, 11819, 27872, 630, 514, 743, 269, 16217, 343, 529, 264, 1315, 16217, 343, 529, 11759, 14288, 10341, 585, 30451, 630, 290, 16800, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 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 ]
[ 0, 17413, 476, 1015, 5403, 268, 1626, 18169, 1548, 786, 596, 581, 3257, 1310, 1032, 476, 1556, 888, 3963, 568, 713, 606, 1271, 1032, 693, 782, 286, 3040, 5269, 610, 2736, 256, 3040, 6153, 23722, 338, 815, 811, 3681, 1930, 547, 596, 538, 519, 2104, 269, 3040, 4107, 6009, 2154, 930, 1106, 540, 2417, 10774, 27941, 2069, 563, 1432, 616, 519, 18169, 2507, 286, 14520, 628, 4813, 5441, 630, 324, 3052, 269, 2051, 1782, 6229, 5441, 264, 4329, 4065, 5441, 11581, 24102, 28154, 5441, 454, 31955, 1281, 10691, 1175, 1611, 589, 20946, 256, 589, 20946, 28678, 5426, 25153, 715, 309, 17988, 15283, 17988, 31641, 4488, 338, 454, 1432, 616, 519, 18169, 2507, 286, 8682, 7694, 2561, 1370, 1182, 1222, 570, 6938, 2562, 5058, 270, 20796, 298, 9751, 10872, 602, 22316, 596, 585, 960, 16763, 609, 2866, 4518, 454, 26794, 270, 11514, 23955, 540, 519, 1114, 3681, 3040, 898, 779, 2731, 1271, 602, 596, 2697, 519, 5383, 543, 11393, 540, 1142, 4781, 267, 585, 596, 269, 3040, 5457, 281, 4107, 11678, 2154, 20340, 547, 513, 1377, 3564, 23722, 338, 269, 4065, 568, 1152, 1863, 909, 547, 519, 2085, 540, 476, 866, 269, 10705, 1053, 945, 979, 856, 883, 519, 9036, 1310, 23722, 338, 6999, 789, 1185, 1044, 9415, 547, 2744, 930, 20340, 1101, 269, 14780, 2358, 540, 519, 30880, 6520, 256, 2336, 1432, 3116, 1058, 596, 581, 3257, 1631, 286, 3040, 13185, 547, 707, 3237, 270, 974, 18291, 270, 13528, 570, 12460, 270, 16031, 26741, 5112, 827, 707, 2093, 269, 630, 22512, 518, 2093, 1590, 1217, 707, 3375, 264, 3040, 5192, 3180, 540, 2852, 19175, 4926, 269, 3040, 6056, 827, 1018, 596, 2972, 1107, 5396, 270, 960, 1995, 10774, 984, 9812, 2507, 11004, 1590, 581, 1945, 256, 3040, 3194, 454, 8253, 2386, 1018, 596, 1616, 547, 798, 286, 5269, 2386, 596, 2307, 585, 948, 1631, 281, 6004, 26741, 5112, 666, 10004, 609, 596, 827, 707, 3681, 1282, 2736, 610, 693, 12899, 269, 898, 779, 1271, 602, 596, 1118, 606, 5483, 3375, 269, 1403, 596, 1810, 1406, 723, 1022, 4876, 2093, 538, 2247, 1287, 1832, 707, 3681, 1930, 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 ]
[ 0, 301, 22022, 3025, 945, 814, 6170, 1022, 942, 538, 513, 6413, 4440, 814, 513, 7168, 1434, 2856, 602, 27194, 568, 540, 519, 25932, 2956, 269, 2368, 8436, 1522, 1256, 581, 2182, 1790, 5962, 547, 2951, 811, 982, 513, 1906, 3952, 538, 513, 4993, 6413, 1510, 25884, 513, 1688, 1606, 534, 527, 1944, 6728, 269, 1717, 267, 538, 3871, 1141, 513, 25062, 1604, 568, 2838, 267, 621, 568, 2009, 602, 513, 26843, 2564, 3926, 949, 711, 723, 1044, 3478, 519, 2816, 2944, 563, 288, 26843, 1587, 568, 711, 2141, 835, 602, 23659, 17313, 267, 855, 949, 3274, 581, 5906, 1813, 547, 513, 10672, 781, 3668, 540, 5528, 610, 21855, 269, 901, 568, 15151, 1018, 5949, 609, 513, 10551, 1907, 14475, 676, 4279, 321, 2255, 6481, 13106, 31517, 269, 634, 3355, 5528, 602, 10483, 519, 1907, 2838, 602, 621, 581, 10322, 28895, 676, 9252, 269, 589, 2663, 2689, 1336, 602, 713, 729, 16283, 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 ]
[ 0, 12626, 8144, 540, 1412, 2633, 359, 31073, 2633, 369, 17775, 2633, 370, 21999, 18892, 23547, 11111, 7055, 2633, 359, 31073, 2633, 369, 17775, 2633, 370, 21999, 18892, 23547, 11111, 1315, 335, 571, 1407, 3873, 737, 541, 3570, 13045, 272, 269, 4283, 1098, 1438, 610, 703, 4920, 1438, 8231, 454, 2691, 596, 4283, 513, 1747, 267, 596, 2097, 610, 979, 883, 621, 16804, 845, 531, 2639, 3891, 9411, 519, 4055, 543, 11542, 2282, 519, 7450, 563, 2026, 4166, 607, 594, 9411, 267, 789, 11074, 6158, 563, 273, 269, 23309, 1098, 1438, 8231, 454, 2252, 2576, 11579, 6233, 606, 3919, 610, 513, 3924, 267, 789, 8011, 538, 10024, 621, 4352, 621, 568, 2352, 547, 798, 865, 563, 22102, 518, 13677, 3549, 616, 711, 5883, 547, 23309, 519, 2475, 1870, 1158, 563, 15648, 9736, 476, 1001, 275, 676, 22489, 31890, 23255, 269, 2353, 2924, 11603, 563, 9558, 3175, 540, 7162, 359, 31073, 2633, 369, 17775, 2633, 370, 21999, 18892, 23547, 11111, 689, 519, 19811, 19446, 547, 2296, 9218 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 314, 554, 342, 880, 267, 6999, 23378, 270, 30379, 364, 342, 22688, 390, 481, 267, 530, 22688, 390, 481, 1315, 454, 14620, 630, 4310, 609, 610, 1510, 1843, 994, 1729, 1118, 267, 610, 1847, 609, 267, 513, 627, 714, 610, 2220, 880, 563, 320, 627, 5109, 3280, 563, 27670, 540, 627, 880, 454, 5575, 6592, 538, 476, 14681, 271, 1700, 736, 282, 708, 5511, 454, 291, 5315, 2593, 1133, 30457, 9122, 593, 519, 15932, 5600, 1133, 30457, 9218, 267, 9736, 15932, 5600, 267, 5549, 269, 476, 1001, 280, 454, 23873, 9218, 8847, 585, 627, 8460, 454, 270, 630, 342, 22688, 390, 481, 264, 1315, 454, 320, 1447, 1455, 2262, 585, 2220, 880, 454, 31890, 2296, 9218, 910, 13159, 1299, 1133, 30457, 476, 1001, 273, 7913, 9990, 9736, 5261, 19811, 25860, 1299, 3213, 269, 13456, 269, 476, 3192, 280, 267, 476, 2735, 277, 9736, 22489, 31890, 23255, 476, 1960, 279, 267, 476, 1220, 271, 267, 476, 1220, 274, 267, 476, 1220, 276, 267, 476, 1220, 277, 267, 476, 1220, 278, 267, 476, 1220, 280, 267, 476, 1001, 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 ]
[ 0, 19859, 7809, 6478, 779, 13128, 2262, 16833, 568, 10375, 855, 3006, 13311, 269, 3371, 616, 1079, 2081, 547, 1832, 1257, 689, 8840, 693, 519, 1439, 540, 513, 1899, 563, 19859, 7809, 6478, 8850, 12109, 1186, 689, 519, 1439, 540, 519, 1699, 1899, 547, 519, 4098, 540, 519, 1985, 607, 596, 1826, 269, 1403, 596, 7696, 610, 18419, 1257, 267, 3388, 8850, 4188, 338, 547, 13918, 519, 1689, 269, 1411, 1810, 1406, 1256, 1589, 827, 621, 607, 596, 960, 269, 1306, 10375, 607, 713, 2623, 568, 267, 596, 4465, 1406, 2141, 1616, 547, 16833, 1257, 950, 6478, 1281, 269, 769, 713, 2376, 267, 594, 3580, 1397, 596, 1079, 2653, 2081, 547, 3196, 6478, 547, 1832, 1257, 1927, 3079, 540, 8840, 621, 538, 519, 1647, 676, 29780, 1875, 12577, 3197, 563, 5038, 19229, 1062, 267, 855, 596, 666, 946, 4505, 8747, 269, 1703, 779, 1100, 17431, 3758, 282, 596, 4465, 1406, 991, 835, 269, 634, 11422, 7160, 7028, 4540, 1875, 12577, 3197, 267, 855, 596, 666, 1406, 4283, 873, 563, 1692, 547, 7696, 513, 1875, 12577, 2230, 538, 6478, 454, 5278, 1913, 991, 547, 3251, 1927, 269, 1280, 1383, 267, 596, 1522, 711, 1616, 547, 5094, 513, 8265, 1297, 689, 519, 8265, 2012, 267, 610, 596, 1522, 1616, 547, 1832, 513, 1268, 779, 1101, 543, 2063, 2012, 1927, 269, 1452, 616, 811, 3903, 982, 991, 267, 855, 6478, 3947, 596, 519, 1852, 269, 1879, 16462, 547, 1832, 1913, 1927, 267, 7696, 513, 1875, 12577, 2230, 3079, 540, 513, 2834, 2230, 1063, 519, 1913, 563, 2414, 7696, 513, 1875, 12577, 2230, 267, 2046, 595, 27530, 266, 4537, 3424, 266, 22129, 8663, 22924, 2731, 568, 602, 2653, 269, 3767, 267, 1577, 779, 1413, 693, 513, 2241, 1383, 269, 7612, 589, 2982, 968, 297, 2033, 1684, 324, 267, 1912, 6185, 892, 9674, 693, 519, 1318, 14345, 269, 1677, 1832, 519, 2012, 1927, 267, 4894, 519, 2230, 1063, 13191, 543, 1684, 324, 543, 2046, 9197, 331, 266, 4537, 3424, 266, 22129, 8663, 269, 8921, 267, 18419, 519, 2230, 1063, 519, 26893, 543, 1912, 6185, 543, 2046, 595, 27530, 266, 4537, 3424, 266, 22129, 8663, 269, 1306, 596, 666, 1294, 538, 7612, 645, 6478, 7948, 1406, 1832, 519, 1614, 1913, 1927, 593, 519, 1101, 1899, 267, 865, 621, 7142, 519, 1895, 547, 519, 1985, 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 ]
[ 0, 454, 7076, 815, 703, 9272, 2891, 8923, 1826, 538, 707, 2597, 538, 6550, 1934, 281, 27328, 2745, 2891, 5602, 19417, 815, 703, 9272, 2891, 8923, 1826, 538, 707, 4463, 538, 6279, 1934, 281, 27328, 2745, 2891, 5602, 321, 14741, 815, 630, 7076, 1315, 630, 19417, 2608, 4463, 4297, 2608, 476, 3583, 274, 692, 2745, 2891, 7312, 19483, 568, 2580, 536, 14741, 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 ]
[ 0, 268, 3163, 256, 2904, 476, 2641, 454, 2005, 781, 711, 1175, 3425, 281, 4634, 7786, 616, 1641, 547, 1208, 559, 2747, 1354, 2669, 563, 288, 1007, 1353, 693, 519, 2160, 540, 9098, 1336, 602, 598, 641, 1749, 267, 799, 616, 26220, 13733, 602, 4323, 10987, 543, 2291, 538, 811, 982, 476, 8517, 2249, 267, 3196, 741, 14747, 547, 3276, 992, 883, 519, 2666, 267, 1141, 2669, 19179, 1080, 873, 563, 763, 13733, 2482, 5798, 3330, 741, 3984, 10987, 267, 543, 519, 12586, 9366, 786, 5555, 3548, 519, 10987, 9800, 267, 1310, 789, 4312, 3710, 513, 1753, 538, 519, 3037, 585, 519, 8038, 547, 1020, 269, 2817, 22127, 5359, 602, 598, 641, 1749, 666, 1256, 4323, 10987, 538, 4571, 1922, 2775, 547, 2030, 741, 5798, 563, 5629, 519, 598, 641, 1749, 723, 16091, 519, 10987, 267, 741, 16350, 883, 2669, 568, 2656, 267, 609, 1034, 4666, 1369, 1079, 4374, 269, 6145, 741, 1480, 13413, 267, 519, 598, 641, 573, 544, 2378, 807, 917, 875, 547, 1205, 519, 2816, 2944, 11607, 20620, 15578, 654, 7417, 298, 24202, 589, 11070, 296, 8008, 295, 11223, 623, 7495, 290, 3008, 4811, 281, 700, 8780, 2894, 15382, 2752, 9898, 454, 268, 476, 278, 8239, 3652, 596, 2731, 1058, 2628, 3007, 547, 454, 268, 2991, 674, 31867, 517, 267, 649, 1810, 1405, 991, 1776, 5188, 593, 5198, 454, 268, 4208, 596, 1058, 3247, 18468, 538, 4720, 454, 268, 634, 5728, 547, 7829, 2604, 899, 20691, 267, 13108, 10323, 3201, 338, 267, 543, 7663, 29718, 454, 268, 1215, 10830, 776, 22735, 781, 1412, 8243, 691, 1379, 262, 5828, 8644, 5984, 883, 513, 29746, 3122, 3595, 454, 268, 769, 8878, 540, 15525, 781, 17075, 532, 454, 268, 634, 2229, 568, 3478, 883, 519, 1249, 19295, 9535, 1870, 269, 2142, 1360, 267, 1360, 12922, 563, 268, 2659, 5339, 1404, 4289, 281, 589, 3391, 547, 519, 2575, 540, 4498, 25431, 631, 3120, 330, 9564, 454, 29771, 547, 519, 10432 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 692, 14006, 539, 676, 593, 16317, 347, 343, 266, 272, 347, 268, 274, 3436, 476, 279, 454, 24169, 519, 6207, 1871, 16526, 780, 1892, 10789, 910, 2073, 692, 2691, 1535, 285, 910, 272, 267, 1287, 1923, 343, 266, 272, 347, 284, 1535, 1341, 272, 543, 454, 343, 1341, 272, 3436, 476, 1556, 454, 343, 3436, 476, 1015, 692, 2691, 1535, 2999, 910, 272, 267, 1287, 1923, 343, 266, 272, 347, 284, 910, 343, 910, 272, 543, 454, 14870, 910, 272, 3436, 476, 279, 1341, 476, 274, 815, 476, 1556, 454, 14870, 3436, 476, 1015, 454, 343, 2999, 910, 1015 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1548, 568, 1950, 31669, 540, 910, 276, 268, 278, 328, 2496, 27572, 476, 276, 1341, 476, 278, 1775, 14204, 763, 1950, 31669, 540, 519, 1950, 1297, 1269, 320, 1341, 536, 1775, 259, 568, 1269, 320, 910, 536, 1775, 259, 563, 1103, 824, 1913, 267, 6467, 519, 1129, 630, 5228, 2318, 547, 2942, 267, 610, 13030, 17930, 264, 540, 519, 2165, 609, 519, 1269, 328, 259, 563, 13295, 267, 519, 1950, 31669, 540, 1269, 268, 476, 276, 1422, 3667, 10233, 346, 1042, 2410, 268, 348, 476, 278, 1775, 259, 568, 1269, 268, 476, 276, 1422, 3667, 10233, 346, 1042, 2410, 266, 348, 476, 278, 1775, 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 ]
[ 0, 306, 728, 13050, 8957, 20237, 454, 268, 3967, 15223, 767, 330, 9567, 454, 268, 17397, 593, 912, 268, 2904, 476, 1626, 267, 476, 1001, 276, 454, 268, 17266, 16590, 454, 268, 7089, 540, 5716, 912, 5938, 600, 4730, 20237, 912, 16256, 5713, 543, 1847, 883, 519, 5480, 547, 9718, 269, 667, 272, 543, 667, 273, 9718, 269, 645, 7161, 543, 5036, 563, 5938, 600, 4730, 2427, 13050, 912, 15771, 272, 267, 623, 679, 11682, 273, 1780, 269, 590, 11579, 6233, 543, 5036, 269, 631, 26389, 593, 2990, 476, 274, 269, 11682, 272, 26389, 593, 2990, 476, 273, 543, 11682, 273, 26389, 593, 2990, 476, 275, 563, 18744, 519, 2319, 602, 4249, 2427, 13050, 666, 6060, 2798, 269, 901, 2319, 8464, 513, 2462, 1448, 676, 18176, 1614, 1507, 2798, 538, 513, 4737, 269, 1358, 666, 6060, 513, 1507, 1448, 676, 10888, 1142, 540, 519, 678, 718, 625, 602, 1376, 607, 5205, 912, 268, 12676, 5713, 563, 268, 595, 5713, 606, 2653, 4196, 563, 268, 595, 25001, 513, 3440, 1164, 883, 519, 5480, 540, 519, 21108, 2319, 269, 901, 2319, 568, 4847, 693, 1034, 1079, 18953, 1354, 519, 3440, 814, 547, 3444, 519, 2121, 563, 16920, 22326, 281, 4937, 5900, 22326, 281, 19024, 476, 273, 5900, 22326, 281, 19024, 476, 274, 5900, 22326, 281, 19024, 476, 275, 2349, 12177, 281, 10572, 3625, 3267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7330, 293, 645, 27739, 966, 290, 268, 1839, 568, 849, 1634, 607, 1018, 950, 4446, 871, 15525, 568, 593, 4604, 888, 12585, 281, 5794, 10414, 2290, 454, 2704, 328, 1162, 281, 25453, 667, 269, 15751, 9579, 773, 267, 5794, 3196, 835, 267, 5794, 10414, 2290, 267, 5794, 4403, 835, 267, 5794, 4403, 476, 272, 267, 5794, 10414, 835, 267, 674, 2391, 6519, 5600, 267, 9069, 710, 8633, 267, 5794, 10414, 476, 272, 267, 25453, 15751, 9579, 773 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 692, 258, 634, 2557, 21635, 540, 513, 5114, 693, 3230, 4335, 298, 2330, 543, 3230, 10384, 298, 2330, 616, 3230, 271, 269, 6349, 346, 338, 8703, 268, 272, 6525, 543, 3230, 271, 269, 5881, 346, 338, 8703, 268, 272, 6525, 6606, 269, 1109, 24280, 519, 2418, 540, 3230, 292, 320, 2330, 543, 3230, 288, 2330, 1384, 11405, 692, 1012, 2311, 3230, 4335, 298, 2330, 2073, 3230, 298, 284, 271, 269, 6349, 346, 521, 7684, 3867, 910, 272, 476, 6525, 4263, 3230, 10384, 298, 12101, 15153, 737, 284, 271, 269, 5881, 346, 521, 7684, 3867, 910, 272, 476, 6525, 1109, 15612, 566, 540, 3230, 346, 661, 7684, 3709, 513, 476, 6525, 543, 589, 666, 581, 2944, 1210, 27336, 1156, 3780, 1109, 3225, 566, 1109, 2330, 330, 284, 288, 346, 552, 7684, 3867, 2715, 910, 292, 7684, 3709, 513, 7684, 270, 20670, 476, 27874, 1422, 15238, 2715, 737, 7684, 31386, 15238, 2715, 589, 7684, 1341, 315, 3847, 263, 1422, 322, 2765, 2715, 910, 346, 661, 7684, 3709, 513, 7684, 25452, 21512, 7684, 1422, 2431, 14638, 1109, 2330, 4263, 315, 476, 4335, 315, 918, 267, 11138, 1422, 15238, 2715, 476, 271, 269, 6349, 7684, 31386, 15238, 2715, 589, 7684, 1341, 315, 322, 2765, 2715, 910, 346, 661, 7684, 3709, 513, 7684, 25452, 476, 4335, 305, 7684, 8607, 1422, 15238, 2715, 589, 7684, 31386, 15238, 2715, 630, 271, 269, 6349, 264, 7684, 1341, 315, 322, 2765, 2715, 2715, 661, 7684, 3709, 513, 7684, 25452, 476, 4335, 305, 7684, 1422, 14075, 21375, 630, 272, 9385, 315, 2311, 315, 15153, 476, 10384, 298, 11138, 1422, 15238, 2715, 589, 7684, 31386, 15238, 2715, 630, 271, 269, 5881, 264, 7684, 1341, 315, 322, 2765, 2715, 2715, 661, 7684, 3709, 513, 7684, 25452, 476, 10384, 305, 7684, 1422, 14075, 21375, 630, 273, 14638, 1109, 13420, 908, 630, 272, 264, 543, 630, 273, 264, 11377, 15238, 2715, 630, 271, 269, 6349, 264, 7684, 1341, 315, 322, 2765, 2715, 2715, 661, 7684, 3709, 513, 7684, 25452, 476, 4335, 305, 7684, 31386, 15238, 2715, 630, 271, 269, 5881, 264, 10954, 322, 2765, 2715, 2715, 661, 7684, 3709, 513, 7684, 25452, 476, 10384, 305, 7684, 7684, 8607, 1422, 322, 2765, 2715, 476, 272, 25452, 476, 1911, 305, 7684, 1422, 3847, 314, 1422, 322, 2765, 2715, 2715, 661, 7684, 3709, 513, 7684, 25452, 476, 276, 7684, 28363, 322, 2765, 2715, 2715, 661, 7684, 3709, 513, 7684, 25452, 476, 278, 7684, 1422, 2431, 316, 31386, 15238, 2715, 1422, 3847, 314, 1422, 322, 2765, 2715, 476, 271, 269, 5881, 25452, 476, 271, 269, 6349, 7684, 1422, 2431, 316, 7684, 8607, 2715, 661, 7684, 3709, 513, 7684, 7807, 322, 2765, 2715, 476, 3374, 24585, 476, 1911, 24585, 476, 279, 269, 27183, 24585, 476, 272, 269, 21857, 279, 25452, 476, 273, 7684, 8607, 2715, 661, 7684, 3709, 513, 7684, 284, 9264, 2767, 269, 277, 315, 15153, 808, 11138, 2715, 661, 7684, 3709, 513, 7684, 284, 1240, 269, 273, 315, 15153, 918, 297, 2330, 1109, 27802, 23082, 1109, 7407, 540, 3230, 346, 661, 7684, 3709, 513, 476, 6525, 538, 630, 272, 1070, 11377, 15238, 2715, 589, 7684, 31386, 15238, 2715, 630, 271, 269, 6349, 264, 7684, 1341, 315, 322, 2765, 2715, 476, 9264, 2767, 269, 277, 25452, 476, 4335, 24585, 476, 279, 269, 27183, 7684, 8607, 815, 8987, 274, 269, 280, 1321, 271, 11924, 275, 269, 29575, 279, 11138, 1422, 15238, 2715, 589, 7684, 815, 271, 269, 5325, 273, 279, 11138, 1422, 8421, 2715, 589, 7684, 815, 272, 269, 5400, 279, 280, 11138, 589, 284, 656, 559, 690, 315, 15153, 630, 272, 269, 5400, 279, 280, 9385, 315, 589, 284, 1321, 269, 2767, 2330, 13295, 3230, 292, 19963, 2330, 568, 476, 1240, 269, 273, 918, 297, 543, 589, 568, 476, 1321, 269, 2767, 290, 13511, 692, 22296, 2248, 4856, 516, 2388, 692, 271, 692, 13436, 2055, 454, 8698, 2859, 692, 10144, 849, 22646, 585, 454, 8698, 2859 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8191, 281, 476, 9410, 5062, 289, 20183, 454, 258, 23095, 281, 476, 1708, 272, 268, 4962, 268, 1691, 454, 258, 14645, 630, 290, 264, 476, 1708, 272, 267, 9410, 5062, 289, 20183, 454, 258, 17821, 281, 20037, 692, 258, 22087, 606, 3239, 269, 22731, 568, 476, 22213, 676, 476, 18231, 692, 5228, 623, 6579, 1104, 12005, 267, 12005, 302, 1186, 267, 12005, 19352, 692, 258, 22087, 547, 476, 14596, 676, 476, 6110, 563, 258, 634, 3077, 3337, 814, 513, 26339, 2460, 5223, 982, 519, 3239, 267, 865, 649, 1101, 4336, 454, 258, 519, 3239, 547, 581, 476, 14596, 2647, 267, 1287, 1039, 14950, 3429, 547, 1118, 621, 476, 6110, 1164, 563, 258, 4595, 519, 586, 8998, 1871, 568, 476, 271, 269, 273, 267, 649, 2322, 476, 736, 260, 540, 519, 14950, 3429, 1657, 519, 3239, 454, 258, 543, 476, 3199, 260, 540, 519, 14950, 3429, 2630, 519, 3239, 563, 13548, 815, 12005, 269, 13449, 3488, 29539, 23337, 718, 27970, 5073, 14310, 318, 13548, 815, 12005, 302, 1186, 4877, 611, 263, 13548, 267, 630, 14596, 267, 476, 6110, 1070, 1298, 1359, 14352, 271, 269, 276, 267, 476, 271, 269, 273, 4917, 14310, 318, 13548, 4732, 1511, 3488, 13548, 3591, 1790, 611, 268, 14596, 268, 6110, 27970, 17210, 258, 22087, 547, 476, 6110, 676, 476, 1220, 563, 258, 634, 3077, 3337, 814, 513, 9962, 2460, 5223, 982, 519, 3239, 267, 865, 649, 1101, 4336, 454, 258, 519, 3239, 547, 581, 476, 1220, 7381, 267, 1287, 1039, 14950, 3429, 547, 1118, 621, 476, 6110, 2647, 563, 258, 4595, 519, 1535, 8998, 1871, 568, 476, 272, 267, 649, 2322, 476, 1911, 260, 540, 519, 14950, 3429, 547, 519, 2451, 454, 258, 540, 519, 3239, 563, 14310, 318, 13548, 815, 12005, 302, 1186, 4877, 611, 263, 13548, 267, 630, 6110, 267, 476, 1220, 1070, 2681, 8782, 339, 558, 6737, 3299, 1298, 1359, 14352, 272, 267, 476, 271, 269, 276, 4917, 14310, 318, 13548, 4732, 1511, 3488, 13548, 3591, 1790, 611, 268, 6110, 268, 1220, 27970, 17210 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27751, 606, 20025, 6085, 454, 291, 1046, 17460, 1772, 4165, 574, 2660, 454, 12507, 9484, 476, 1704, 476, 1724, 281, 4343, 281, 4375, 645, 4306, 476, 1001, 273, 676, 4460, 20710, 3455, 454, 763, 2698, 2527, 540, 513, 14925, 949, 581, 7229, 689, 519, 20771, 11250, 540, 621, 781, 856, 25958, 3615, 630, 1122, 9682, 15270, 1070, 543, 3622, 519, 8273, 519, 14925, 519, 811, 713, 7229, 2527, 20489, 1018, 621, 1471, 4601, 3568, 610, 568, 782, 24231, 547, 676, 2199, 8904, 3270, 1369, 630, 1122, 972, 568, 1100, 14965, 2963, 585, 4158, 2339, 538, 938, 3859, 1062, 1040, 1924, 835, 2243, 568, 910, 7316, 568, 519, 4158, 2339, 602, 666, 2272, 585, 713, 4806, 888, 21413, 17596, 2943, 547, 1045, 5803, 513, 1114, 1106, 540, 2339, 267, 610, 547, 2243, 610, 12189, 519, 4031, 540, 6323, 267, 835, 666, 2322, 713, 4158, 2339, 1198, 547, 875, 8904, 543, 519, 5726, 540, 4090, 320, 616, 17251, 630, 514, 3152, 7104, 13999, 971, 607, 15270, 264, 952, 938, 26355, 568, 11303, 676, 12808, 824, 14421, 16211, 267, 538, 513, 3152, 12808, 18163, 7122, 910, 607, 594, 723, 6045, 1934, 1547, 263, 14075, 15745, 910, 4945, 1934, 994, 10857, 784, 15745, 910, 4945, 1934, 994, 9616, 713, 7778, 849, 10567, 519, 4767, 23960, 7269, 540, 519, 26355, 543, 6589, 585, 519, 4359, 1412, 743, 18804, 23823, 263, 3383, 267, 1715, 26831, 267, 952, 596, 2811, 13629, 4930, 827, 6436, 540, 4158, 2339, 602, 1810, 1405, 960, 267, 1946, 711, 15476, 606, 2376, 827, 713, 3069, 602, 1281, 960, 6730, 10567, 519, 23960, 7269, 286, 994, 5278, 824, 4158, 2339, 7422, 543, 3270, 949, 2303, 12357, 3029, 540, 2339, 9090, 1369, 938, 26355, 602, 1152, 2170, 28040, 2787, 958, 630, 1721, 799, 594, 723, 5887, 3293, 1776, 630, 611, 6463, 264, 7778, 11992, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 3474, 629, 7637, 4569, 9046, 692, 271, 454, 29889, 454, 272, 692, 15916, 594, 1175, 991, 513, 2370, 948, 267, 7064, 630, 296, 1705, 2119, 547, 2626, 621, 865, 5225, 581, 8799, 2020, 1432, 568, 519, 3830, 540, 513, 29236, 609, 1109, 263, 6629, 272, 267, 6629, 274, 264, 1109, 1109, 553, 922, 1445, 543, 1109, 344, 1109, 284, 476, 272, 607, 922, 1463, 3700, 2496, 296, 21645, 917, 952, 594, 6415, 1318, 1498, 692, 10817, 652, 1109, 9802, 476, 4029, 267, 476, 1001, 278, 454, 258, 272, 454, 266, 280, 2764, 6321, 454, 266, 272, 692, 30696, 476, 1109, 284, 476, 1109, 263, 910, 272, 267, 910, 476, 274, 2020, 17445, 3700, 476, 1109, 1862, 5231, 586, 476, 1109, 284, 476, 1109, 272, 692, 763, 14584, 786, 476, 1109, 12340, 476, 1109, 520, 7545, 11196, 272, 2073, 476, 1109, 314, 910, 274, 1341, 476, 272, 316, 1315, 476, 273, 3738, 5231, 815, 630, 910, 272, 267, 910, 273, 270, 273, 3738, 815, 30336, 1109, 263, 910, 272, 267, 910, 272, 2020, 3383, 267, 533, 815, 476, 1109, 268, 273, 476, 1109, 27401, 663, 649, 723, 692, 275, 335, 630, 586, 1341, 476, 272, 264, 476, 1109, 284, 476, 1109, 3287, 1341, 476, 272, 8203, 273, 692, 275, 11196, 273, 264, 630, 586, 1341, 476, 272, 264, 476, 1109, 284, 476, 1109, 263, 1535, 1341, 476, 272, 8203, 273, 692, 268, 279, 630, 586, 1341, 476, 272, 264, 476, 1109, 284, 630, 343, 1341, 476, 272, 8203, 273, 7545, 30336, 1109, 20123, 17586, 998, 676, 910, 272, 270, 279, 692, 344, 1341, 476, 272, 5231, 815, 476, 1109, 8987, 272, 270, 279, 7565, 343, 1341, 476, 272, 8203, 273, 7545, 476, 1109, 11357, 339, 847, 476, 272, 689, 1312, 5011, 692, 344, 476, 1109, 284, 476, 1109, 24179, 272, 270, 279, 7565, 343, 1341, 476, 272, 8203, 273, 5231, 910, 5231, 476, 272, 692, 290, 4942, 650, 476, 1109, 9802, 476, 4029, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 3419, 517, 5852, 8340, 952, 1109, 263, 6195, 268, 3722, 19422, 6195, 266, 3722, 264, 815, 16009, 10490, 5174, 8358, 273, 270, 11927, 10490, 266, 289, 8358, 273, 692, 326, 1640, 326, 10005, 3192, 277, 1923, 5441, 11819, 1923, 630, 25583, 476, 274, 264, 4406, 539, 1112, 20187, 692, 16829, 593, 692, 2171, 5469, 602, 7460, 568, 519, 6587, 2427, 547, 5086, 589, 543, 8028, 568, 519, 6587, 2427, 547, 519, 5086, 645, 780, 2171, 3513, 946, 519, 519, 1876, 540, 8126, 757, 780, 2171, 3513, 4063, 519, 3259, 540, 519, 2427, 7460, 1109, 284, 513, 543, 519, 3259, 540, 519, 2427, 8028, 815, 536, 780, 2171, 3513, 556, 2914, 1679, 519, 2016, 6935, 1384, 5416, 1532, 19422, 320, 17070, 264, 815, 1496, 11927, 630, 288, 910, 645, 8358, 273, 316, 270, 314, 11927, 630, 288, 1341, 645, 8358, 273, 316, 630, 272, 2020, 2171, 3513, 4019, 519, 1876, 540, 521, 1149, 547, 1109, 31095, 519, 13080, 540, 519, 5011, 513, 543, 536, 780, 320, 4882, 514, 589, 815, 536, 4882, 514, 645, 815, 476, 273, 305, 692, 320, 815, 476, 273, 305, 265, 7562, 589, 630, 273, 2020, 321, 815, 476, 273, 305, 265, 7562, 645, 630, 274, 2020, 2171, 3513, 12990, 630, 273, 264, 543, 630, 274, 264, 538, 630, 272, 6393, 263, 273, 305, 265, 7562, 589, 910, 476, 273, 305, 265, 7562, 645, 19422, 273, 305, 265, 7562, 589, 1109, 266, 476, 273, 305, 265, 7562, 645, 264, 815, 1496, 11927, 630, 288, 910, 645, 8358, 273, 316, 270, 314, 11927, 630, 288, 1341, 645, 8358, 273, 6540, 2171, 3513, 3815, 1125, 676, 476, 273, 305, 547, 519, 2451, 2427, 543, 649, 3513, 2569, 1384, 4433, 514, 589, 910, 5609, 645, 19422, 7562, 589, 1109, 266, 5609, 645, 264, 815, 1496, 11927, 630, 288, 910, 645, 8358, 273, 316, 270, 314, 11927, 630, 288, 1341, 645, 8358, 273, 6540, 2171, 3513, 2981, 538, 1587, 519, 2040, 543, 519, 3017, 540, 521, 1149, 1384, 7562, 589, 910, 5609, 645, 815, 476, 273, 265, 6523, 27883, 288, 266, 289, 8358, 273, 30297, 7562, 27883, 288, 5174, 8358, 273, 316, 630, 275, 2020, 7562, 589, 1109, 266, 5609, 645, 815, 476, 273, 265, 7562, 27883, 288, 266, 289, 8358, 273, 30297, 6523, 27883, 288, 5174, 8358, 273, 316, 630, 276, 2020, 2171, 3513, 7941, 630, 275, 264, 676, 630, 276, 17107, 273, 265, 6523, 27883, 288, 266, 289, 8358, 273, 30297, 7562, 27883, 288, 5174, 8358, 273, 316, 270, 273, 265, 7562, 27883, 288, 266, 289, 8358, 273, 30297, 6523, 27883, 288, 5174, 8358, 273, 316, 815, 1109, 1109, 314, 11927, 630, 288, 910, 645, 8358, 273, 316, 270, 314, 11927, 630, 288, 1341, 645, 8358, 273, 6540, 2171, 3513, 14458, 543, 649, 3513, 2328, 1142, 23479, 1384, 6523, 27883, 288, 266, 289, 8358, 273, 316, 270, 7562, 27883, 288, 266, 289, 8358, 273, 316, 815, 28422, 27883, 288, 266, 289, 8358, 273, 6540, 20799, 27883, 288, 266, 289, 8358, 273, 316, 815, 476, 272, 270, 16009, 27883, 288, 266, 289, 8358, 273, 316, 630, 277, 2020, 7562, 27883, 288, 5174, 8358, 273, 316, 270, 6523, 27883, 288, 5174, 8358, 273, 316, 815, 16009, 27883, 288, 5174, 8358, 273, 316, 630, 278, 2020, 2171, 3513, 9062, 630, 277, 264, 676, 630, 278, 17107, 346, 272, 270, 16009, 27883, 288, 266, 289, 8358, 273, 316, 348, 265, 11927, 27883, 288, 5174, 8358, 273, 316, 17342, 11927, 630, 288, 910, 645, 8358, 273, 316, 270, 314, 11927, 630, 288, 1341, 645, 8358, 273, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16920, 3363, 3992, 4566, 585, 1164, 1153, 269, 1452, 3992, 4566, 543, 2326, 616, 3617, 585, 2489, 7005, 5049, 585, 11400, 5049, 585, 552, 777, 543, 585, 782, 2010, 540, 7005, 269, 8249, 585, 3450, 1603, 538, 519, 4928, 269, 3245, 3504, 547, 2413, 2053, 15242, 814, 5129, 513, 3844, 1909, 538, 1480, 1686, 269, 2422, 2934, 899, 1433, 12201, 4063, 2921, 543, 10223, 1247, 2542, 1965, 331, 3992, 4566, 563, 763, 1650, 540, 15242, 3091, 3872, 2200, 585, 3610, 16462, 547, 946, 519, 546, 341, 323, 543, 519, 3638, 269, 1323, 1965, 331, 3610, 1898, 3391, 547, 3992, 4058, 1519, 5439, 543, 2093, 7005, 607, 513, 2034, 1893, 3992, 4566, 2186, 548, 7160, 676, 23891, 773, 17611, 1400, 269, 4841, 2347, 513, 3126, 540, 2238, 1759, 593, 513, 1257, 827, 31826, 1519, 513, 795, 12127, 1177, 2542, 593, 7262, 543, 24349, 4230, 1108, 269, 26386, 540, 11347, 9111, 3992, 4566, 585, 1164, 1153, 524, 643, 923, 2229, 543, 721, 563, 19733, 1158, 3091, 513, 5458, 5542, 540, 2029, 3992, 4566, 585, 782, 3446, 2157, 269, 7689, 4566, 543, 1770, 4566, 269, 8281, 621, 2899, 543, 1224, 621, 593, 707, 2186, 548, 3926, 26099, 11436, 610, 14342, 269, 3778, 5049, 676, 620, 534, 887, 338, 5460, 531, 891, 4245, 827, 519, 17950, 540, 11347, 9111, 616, 2966, 5631, 585, 563, 763, 4493, 585, 6044, 269, 1411, 723, 1305, 3054, 909, 585, 1967, 676, 1565, 3388, 972, 568, 547, 917, 827, 1153, 543, 8664, 4507, 543, 1141, 547, 1265, 2953, 4267, 547, 2055, 269, 8682, 22644, 26767, 723, 1053, 1020, 513, 2146, 3028, 1788, 602, 949, 849, 948, 873, 1628, 741, 1582, 22644, 269, 10732, 1153, 21517, 519, 4245, 2630, 616, 585, 519, 1699, 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 ]
[ 0, 288, 1126, 781, 5959, 1416, 2731, 6238, 609, 1010, 610, 1200, 454, 15948, 781, 2635, 6379, 267, 1317, 4816, 4522, 2253, 547, 1106, 1354, 4332, 269, 1403, 454, 9767, 616, 9176, 267, 3548, 513, 7059, 267, 14312, 2732, 543, 581, 2386, 547, 1205, 2614, 454, 10903, 7530, 543, 6886, 269, 21250, 656, 2021, 1058, 723, 513, 2347, 5959, 981, 543, 454, 17647, 1022, 19659, 610, 10733, 2068, 5701, 269, 1280, 811, 1344, 267, 1294, 519, 1888, 454, 5475, 4332, 267, 1434, 6484, 4249, 513, 1909, 538, 707, 454, 321, 17879, 781, 5959, 1072, 267, 2523, 952, 596, 616, 6089, 1922, 29623, 269, 4634, 1354, 4522, 454, 19874, 998, 519, 10733, 630, 518, 340, 696, 1070, 596, 666, 1628, 1434, 5959, 1072, 6208, 912, 7312, 4816, 781, 1101, 5694, 2356, 11199, 14186, 693, 827, 476, 277, 3275, 563, 6624, 9002, 1995, 930, 9636, 1282, 751, 1891, 543, 949, 581, 535, 1380, 344, 269, 1280, 454, 3467, 1344, 267, 1294, 519, 1888, 1855, 1891, 563, 16605, 707, 1126, 2476, 454, 5228, 16906, 8673, 630, 16149, 8518, 454, 8243, 5803, 1040, 30926, 8673, 949, 3565, 547, 519, 454, 31141, 540, 5694, 9178, 543, 10733, 2068, 269, 272, 454, 13563, 15482, 5948, 630, 1220, 280, 1040, 5084, 288, 3609, 593, 13189, 543, 824, 10269, 2472, 269, 12232, 2228, 281, 5291, 2517, 4178, 269, 3385, 3820, 30406, 270, 280, 3066, 269, 5684, 343, 563, 20464, 476, 278, 267, 476, 1001, 274, 454, 292, 269, 27068, 16399, 267, 11022, 910, 18378, 6925, 454, 261, 1488, 6577, 2441, 523, 267, 667, 9169, 267, 9049, 291, 267, 10790, 267, 674, 3722, 291, 910, 19239, 3588, 454, 1692, 713, 1344, 729, 2919, 547, 948, 596, 1118, 1732, 1072, 3664, 563, 2414, 1451, 811, 3643, 2657, 3772, 3820, 454, 15100, 476, 1960, 276, 268, 1001, 274, 2657, 3772, 267, 14119, 730, 269, 2657, 3772, 267, 2657, 3772, 585, 1169, 1072, 3375, 267, 543, 519, 2657, 3772, 20446, 616, 30931, 540, 2657, 3772, 267, 14119, 730, 563, 2171, 616, 6126, 547, 1491, 707, 13393, 7662, 936, 519, 6049, 267, 610, 267, 596, 949, 6445, 856, 606, 2228, 7662, 1106, 563, 11514, 25068, 281, 634, 1344, 593, 713, 3896, 568, 585, 2489, 21141, 5301, 1152, 543, 15562, 5495, 17162, 10691, 581, 16941, 2390, 607, 513, 12990, 585, 3280, 3318, 2564, 5796, 267, 6268, 610, 1416, 689, 707, 10629, 610, 824, 11727, 1072, 1416, 8502, 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 ]
[ 0, 283, 335, 285, 296, 557, 1044, 4974, 585, 3733, 6673, 3281, 691, 633, 4255, 543, 723, 3893, 1524, 1034, 4849, 535, 8896, 27135, 335, 11417, 283, 335, 285, 296, 729, 11842, 952, 18825, 666, 13713, 2626, 270, 15062, 803, 547, 513, 1434, 2707, 547, 2328, 891, 2110, 9433, 593, 891, 2055, 27135, 335, 11417, 283, 335, 285, 272, 264, 1548, 568, 519, 2707, 540, 26117, 540, 519, 3943, 2229, 286, 1548, 2306, 519, 1062, 7123, 888, 273, 264, 1215, 814, 2184, 5632, 23462, 4299, 519, 1646, 540, 1135, 3749, 6105, 538, 9992, 1734, 286, 9572, 335, 11417, 283, 335, 285, 274, 264, 4766, 519, 2497, 543, 3376, 5106, 540, 519, 18008, 3084, 2229, 269, 18040, 520, 2101, 7293, 543, 22968, 1308, 3604, 616, 972, 1063, 519, 18008, 543, 519, 21099, 1949, 286, 9572, 335, 11417, 283, 335, 285, 275, 264, 5635, 519, 6617, 540, 519, 18008, 2184, 5632, 1062, 609, 602, 540, 519, 21099, 269, 18040, 344, 814, 519, 18008, 1062, 7152, 865, 1454, 16132, 543, 11124, 689, 513, 3668, 540, 26117, 2094, 519, 4838, 286, 9572, 335, 11417, 283, 335, 285, 276, 264, 6218, 713, 3948, 257, 834, 10420, 956, 2554, 783, 548, 729, 535, 8896, 781, 476, 274, 6113, 23040, 1961, 517, 257, 9572, 335, 285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18851, 335, 1515, 12163, 3698, 544, 752, 601, 626, 6262, 870, 267, 30458, 2187, 825, 5727, 2006, 783, 585, 8520, 547, 1265, 575, 559, 325, 12163, 825, 952, 1293, 10922, 476, 279, 912, 1038, 2132, 544, 752, 601, 626, 6262, 870, 266, 272, 267, 30458, 266, 27007, 842, 9272, 3890, 4297, 7481, 825, 1820, 28949, 4289, 6600, 559, 614, 10857, 10033, 1535, 281, 1535, 260, 273, 2652, 476, 271, 267, 30458, 21875, 332, 752, 601, 626, 263, 272, 267, 1496, 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 ]
[ 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 258, 476, 273, 318, 278, 910, 4033, 3928, 540, 1689, 9717, 586, 815, 535, 1535, 1577, 3040, 476, 275, 1535, 815, 1535, 13718, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 4089, 476, 273, 269, 278, 281, 19358, 757, 267, 20653, 665, 885, 543, 4033, 26162, 540, 7827, 26189, 528, 281, 15516, 269, 670, 10394, 715, 7666, 344, 523, 19358, 757, 9717, 513, 1448, 623, 815, 630, 513, 267, 535, 630, 513, 3738, 264, 593, 513, 7455, 595, 2433, 586, 815, 535, 630, 1535, 16532, 519, 3830, 540, 519, 17242, 1899, 693, 519, 1448, 623, 568, 586, 910, 535, 630, 513, 3738, 815, 544, 630, 1535, 910, 513, 3738, 609, 519, 9386, 2433, 544, 815, 1929, 1535, 513, 535, 630, 1535, 3738, 910, 535, 630, 513, 3738, 1535, 910, 513, 18564, 2433, 476, 272, 264, 9386, 815, 4473, 936, 2196, 9386, 540, 513, 17242, 666, 581, 2219, 607, 519, 14869, 1145, 540, 519, 14629, 269, 898, 568, 519, 1689, 538, 4463, 585, 513, 8880, 1900, 4464, 269, 476, 273, 264, 1403, 649, 24680, 538, 2484, 2614, 4724, 519, 1448, 623, 2073, 519, 7455, 595, 3587, 967, 626, 3907, 27720, 689, 519, 17242, 1899, 693, 519, 1448, 623, 1547, 7151, 476, 273, 540, 8791, 476, 273, 269, 278, 630, 3667, 1504, 2567, 20653, 665, 885, 9717, 513, 2990, 1599, 521, 815, 535, 630, 512, 3738, 540, 606, 1843, 267, 519, 31302, 6991, 642, 630, 513, 3738, 693, 942, 512, 815, 513, 568, 281, 642, 630, 513, 3738, 815, 1929, 554, 476, 271, 535, 630, 513, 1341, 554, 3738, 910, 535, 630, 513, 3738, 554, 901, 1797, 602, 519, 6991, 693, 942, 512, 815, 513, 568, 3160, 547, 519, 9386, 540, 519, 17242, 1899, 693, 623, 815, 630, 513, 267, 535, 630, 513, 3738, 264, 593, 513, 7455, 540, 519, 2990, 1599, 521, 815, 535, 630, 512, 15426, 7151, 476, 274, 540, 8791, 476, 273, 269, 278, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 4033, 3928, 540, 1689, 9717, 586, 815, 535, 630, 1535, 16532, 1577, 281, 3040, 476, 275, 1535, 815, 1535, 476, 273, 14870, 476, 272, 2433, 519, 1689, 538, 1535, 689, 1535, 476, 272, 547, 1535, 476, 273, 1547, 3040, 476, 275, 586, 815, 535, 630, 1535, 476, 273, 3738, 268, 325, 630, 1535, 476, 272, 476, 2567, 519, 7222, 1689, 538, 586, 1547, 3973, 267, 519, 3328, 2557, 540, 1689, 540, 586, 609, 2463, 547, 1535, 936, 519, 8884, 1496, 1535, 476, 272, 2073, 1535, 476, 273, 9948, 568, 281, 476, 275, 586, 476, 275, 1535, 815, 535, 630, 1535, 476, 273, 3738, 268, 325, 630, 1535, 476, 272, 3738, 1535, 476, 273, 14870, 476, 272, 2913, 476, 275, 1535, 9890, 476, 271, 267, 519, 3970, 540, 519, 3328, 3928, 540, 1689, 815, 519, 630, 13318, 656, 10389, 264, 2557, 540, 1689, 540, 586, 609, 2463, 547, 1535, 693, 1535, 815, 1535, 476, 272, 2433, 1929, 476, 275, 1535, 9890, 476, 275, 586, 476, 275, 1535, 815, 1929, 1535, 476, 273, 9890, 1535, 476, 272, 535, 630, 1535, 476, 273, 3738, 268, 325, 630, 1535, 476, 272, 3738, 1535, 476, 273, 14870, 476, 272, 18564, 2433, 3328, 2557, 815, 1689, 538, 586, 5258, 676, 519, 1689, 538, 1535, 2340, 18568, 519, 31302, 2557, 540, 1689, 630, 520, 1535, 476, 272, 3738, 666, 581, 2219, 607, 875, 1454, 519, 1599, 586, 815, 535, 630, 1535, 3738, 568, 4657, 693, 519, 1448, 1535, 476, 272, 1547, 7151, 476, 277, 540, 8791, 476, 273, 269, 278, 630, 3667, 1504, 2567, 476, 272, 2483, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 16485, 513, 6780, 2243, 910, 21493, 616, 2228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 538, 513, 14297, 2749, 267, 5030, 513, 15931, 8004, 3957, 15609, 269, 2701, 6068, 2469, 547, 519, 9413, 609, 1200, 1920, 543, 729, 2141, 8049, 827, 875, 789, 941, 1500, 269, 2290, 1554, 267, 1352, 1336, 856, 602, 1200, 5172, 7260, 8689, 2877, 948, 256, 1358, 941, 1818, 513, 7260, 1572, 1412, 27288, 2983, 3150, 262, 827, 513, 1895, 540, 12703, 1004, 3843, 547, 4688, 741, 3659, 689, 513, 30152, 2244, 780, 1103, 519, 7260, 267, 972, 729, 2576, 2027, 1572, 19395, 267, 945, 1031, 547, 581, 513, 17199, 269, 1261, 10356, 1010, 2025, 2828, 910, 681, 29195, 267, 513, 5100, 1589, 518, 945, 21775, 1148, 267, 543, 26396, 267, 513, 12681, 945, 24363, 14742, 910, 547, 1106, 513, 2319, 540, 476, 2004, 12325, 256, 4256, 5692, 729, 547, 15063, 25840, 267, 519, 2186, 6205, 540, 513, 2197, 538, 4000, 267, 945, 729, 3144, 26956, 676, 4937, 715, 323, 1993, 320, 269, 8625, 267, 789, 1131, 2951, 2066, 10239, 267, 8933, 267, 543, 24301, 547, 3914, 25840, 1354, 621, 729, 1932, 3735, 780, 2026, 789, 3460, 539, 267, 15609, 4121, 1082, 1007, 1919, 2059, 519, 1259, 269, 6145, 875, 5017, 8038, 538, 513, 966, 5250, 547, 18359, 1648, 282, 950, 835, 6177, 4991, 13110, 267, 1776, 3217, 922, 1747, 909, 4395, 865, 3025, 666, 2671, 519, 24913, 269, 901, 5280, 938, 24123, 2319, 1847, 811, 7561, 1282, 741, 1279, 31939, 780, 9802, 320, 4280, 267, 834, 3719, 1946, 798, 5017, 3442, 519, 3337, 540, 513, 966, 8119, 4173, 3158, 6045, 267, 834, 2005, 781, 1317, 1142, 6177, 5205, 519, 13617, 339, 760, 642, 29448, 540, 519, 6177, 6619, 267, 4227, 2011, 4187, 269, 898, 849, 2337, 873, 5968, 3362, 15323, 7661, 267, 1310, 20408, 9118, 2591, 267, 19395, 267, 681, 29195, 267, 543, 26396, 6603, 25840, 262, 1591, 269, 1717, 267, 1945, 6397, 5949, 281, 1247, 11324, 5224, 25840, 267, 26396, 3893, 10413, 256, 6736, 741, 3355, 1967, 267, 519, 2319, 7948, 1405, 2347, 741, 5692, 1510, 9561, 835, 540, 741, 1378, 269, 4634, 1498, 789, 5433, 8909, 267, 789, 6785, 26396, 9327, 1405, 1616, 873, 547, 2285, 909, 269, 6884, 267, 1100, 2339, 875, 2182, 649, 2119, 610, 1544, 267, 1919, 1810, 1405, 979, 4010, 607, 649, 4126, 269, 1809, 267, 1565, 689, 891, 2833, 2306, 721, 6793, 543, 5923, 518, 269, 3807, 899, 1620, 2257, 2035, 1732, 1310, 7680, 1585, 3871, 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, 14881, 993, 513, 7260, 8689, 543, 594, 1175, 4607, 519, 1739, 7260, 4729, 269, 16393, 596, 948, 803, 2626, 713, 2243, 286, 1403, 711, 267, 1577, 803, 917, 676, 1603, 834, 8253, 2626, 762, 2668, 476, 18140, 2140, 281, 8187, 2983, 3150, 28414, 4729, 281, 19395, 674, 4954, 30742, 630, 32178, 8738, 2023, 1070, 513, 3703, 24271, 32418, 543, 5449, 7952, 3935, 601, 267, 21128, 538, 5507, 547, 2743, 519, 3638, 543, 678, 3578, 1652, 21471, 4871, 518, 11184, 11977, 4223, 1127, 517, 630, 17556, 23702, 6182, 9734, 1040, 634, 8545, 23083, 513, 19408, 5106, 547, 15063, 25840, 7799, 3316, 328, 630, 310, 514, 8725, 715, 1206, 327, 7431, 1070, 519, 29802, 6205, 540, 513, 8828, 3979, 4182, 945, 568, 1813, 547, 581, 13401, 676, 4937, 715, 323, 1993, 320, 267, 519, 812, 945, 1244, 2216, 1864, 269, 7799, 3316, 328, 568, 4867, 1373, 4371, 538, 513, 6552, 7890, 538, 2098, 655, 4472, 320, 267, 9856, 539, 676, 513, 1770, 540, 715, 323, 1993, 320, 781, 2123, 10136, 1634, 607, 519, 834, 8245, 21353, 2668, 674, 4954, 30742, 24693, 519, 7084, 543, 5956, 16461, 1746, 476, 5392, 824, 24271, 523, 2456, 585, 519, 2816, 267, 1519, 10492, 646, 1185, 5249, 609, 593, 3105, 4238, 281, 681, 29195, 808, 32752, 630, 32178, 20831, 1070, 513, 9952, 4108, 8671, 6509, 945, 781, 1500, 513, 2713, 607, 606, 1148, 31066, 267, 543, 1744, 11921, 674, 2106, 333, 630, 305, 690, 518, 18703, 1070, 606, 608, 1790, 559, 582, 627, 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 ]
[ 0, 28716, 519, 8468, 952, 596, 723, 513, 1893, 13214, 2336, 14240, 689, 9218, 267, 513, 1863, 8675, 454, 27094, 568, 538, 29323, 762, 689, 1702, 269, 1805, 269, 5839, 23581, 540, 5527, 454, 8450, 849, 27743, 454, 268, 679, 11266, 281, 678, 385, 493, 330, 262, 328, 267, 594, 5183, 281, 1315, 16659, 337, 389, 496, 7288, 32551, 590, 4456, 5183, 281, 1315, 257, 337, 304, 7288, 13045, 268, 681, 1506, 6996, 281, 910, 389, 496, 7288, 454, 268, 23866, 6119, 454, 268, 9509, 540, 267, 610, 705, 15929, 538, 267, 7725, 282, 9967, 540, 7725, 563, 268, 513, 22586, 7823, 454, 268, 513, 22586, 13272, 454, 268, 6145, 513, 4224, 563, 268, 519, 22586, 11497, 540, 513, 13104, 454, 268, 630, 14808, 584, 8271, 264, 3502, 3362, 24330, 610, 4299, 282, 2182, 282, 4652, 324, 9934, 282, 1073, 323, 23847, 282, 607, 267, 513, 22586, 536, 657, 558, 563, 268, 630, 14808, 584, 8271, 264, 24410, 16940, 282, 610, 2352, 282, 538, 8594, 610, 11605, 563, 268, 4256, 2078, 1185, 649, 9312, 930, 22586, 2053, 267, 855, 789, 6068, 1142, 824, 563, 268, 1133, 560, 762, 282, 3362, 4224, 539, 563, 268, 634, 3349, 729, 22586, 267, 865, 649, 2322, 513, 1433, 896, 835, 1850, 563, 21459, 540, 7725, 454, 268, 16231, 281, 1236, 531, 333, 520, 383, 377, 544, 1421, 1236, 531, 333, 520, 5451, 535, 1421, 1236, 531, 333, 520, 2946, 562, 563, 268, 7969, 281, 887, 764, 3930, 334, 544, 1421, 4620, 549, 810, 544, 1421, 521, 817, 657, 334, 544, 563, 268, 6196, 25245, 281, 1989, 329, 6759, 339, 454, 268, 21730, 281, 1212, 580, 328, 690, 454, 268, 634, 16627, 2630, 991, 547, 581, 13761, 543, 17332, 1657, 883, 519, 3617, 8144, 7515, 267, 9427, 1022, 2338, 269, 10606, 798, 711, 8209, 6474, 1346, 538, 8847, 269, 6423, 5528, 693, 6435, 281, 1692, 547, 2638, 16627, 563, 14976, 572, 3602, 593, 519, 1357 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2060, 1018, 25031, 2012, 1705, 717, 342, 2106, 996, 623, 5306, 992, 543, 18281, 9410, 19796, 741, 1101, 4535, 8250, 888, 12585, 281, 11197, 454, 2704, 328, 1162, 281, 11197, 2349, 1601, 558, 267, 11197, 4565, 1601, 558, 267, 5682, 2561, 956, 267, 5689, 639, 6469, 639, 267, 11197, 4565, 1601, 1682, 267, 9177, 540, 11945, 267, 5689, 639, 29143, 3821, 267, 11197, 19806, 558, 267, 11197, 21610, 26798, 1344, 267, 715, 26798, 1344, 827, 519, 11945, 267, 11197, 2504, 267, 11197, 15918, 1601, 1682, 267, 11197, 32395, 267, 11197, 22019, 267, 1323, 11945, 513, 1554, 267, 11197, 630, 26258, 1070, 11197, 4054, 267, 5689, 639, 533, 636, 10042, 267, 5689, 639, 1209, 529, 267, 12877, 6350, 4731, 639, 267, 11197, 3529, 267, 9462, 491, 493, 267, 9462, 491, 492, 267, 11197, 15019, 640, 267, 2561, 956, 267, 667, 3072, 11945, 267, 12168, 367, 407, 492, 15906, 267, 11197, 630, 293, 8816, 1070, 5682, 11197, 267, 11197, 2389, 872, 267, 5682, 13212, 267, 11197, 267, 2561, 956, 543, 3610, 267, 589, 680, 548, 267, 11197, 15918, 1601, 558, 267, 11197, 630, 29728, 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 ]
[ 0, 9223, 281, 634, 7385, 4941, 519, 5127, 7406, 547, 581, 3574, 543, 711, 4496, 1317, 9041, 568, 811, 10694, 547, 519, 3750, 563, 271, 269, 3574, 454, 272, 269, 4496, 454, 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 ]
[ 0, 3698, 4174, 4433, 8029, 825, 1913, 284, 272, 282, 1477, 825, 585, 1535, 538, 521, 6769, 1038, 952, 3287, 2525, 262, 1412, 8029, 2018, 1913, 284, 6919, 266, 272, 1477, 825, 2132, 1913, 1477, 560, 284, 6358, 14052, 2745, 2891, 15893, 540, 1913, 568, 2580, 560, 686, 263, 560, 17903, 1363, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12709, 15955, 1280, 4548, 15955, 3194, 3114, 15955, 11906, 918, 27282, 1107, 1772, 18529, 519, 1482, 607, 667, 454, 1607, 1888, 3568, 476, 272, 16253, 267, 814, 476, 271, 9739, 267, 543, 729, 2063, 8242, 676, 14844, 1492, 476, 1015, 628, 2904, 476, 1001, 279, 693, 476, 276, 281, 5392, 10681, 563, 29991, 519, 2557, 540, 5114, 609, 2463, 547, 1496, 12569, 273, 14073, 273, 14298, 273, 14116, 264, 1341, 744, 273, 14116, 264, 2433, 337, 5535, 281, 476, 273, 14298, 274, 454, 1607, 729, 513, 2789, 3903, 2243, 593, 513, 2259, 2243, 269, 594, 3494, 519, 2953, 2626, 568, 454, 3080, 540, 519, 2009, 4267, 568, 1360, 2673, 547, 713, 4849, 3079, 540, 2348, 7790, 339, 538, 519, 14009, 621, 814, 667, 339, 269, 1684, 891, 1611, 519, 1482, 3364, 1934, 286, 8729, 13518, 538, 4434, 2336, 2791, 1590, 581, 29429, 538, 547, 16253, 547, 713, 1888, 563, 306, 924, 7170, 267, 2368, 2924, 11603, 563, 17504, 18208, 4144, 6355, 27484 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23087, 281, 301, 4673, 568, 519, 3854, 540, 3567, 779, 715, 4673, 2776, 2739, 675, 267, 538, 5045, 7266, 1537, 670, 976, 16852, 269, 634, 2749, 814, 1713, 17633, 543, 11247, 6580, 547, 519, 476, 279, 628, 2540, 267, 950, 621, 729, 3567, 779, 3854, 269, 1546, 518, 887, 600, 538, 715, 4673, 5244, 267, 3135, 540, 570, 16230, 323, 2967, 268, 10202, 11454, 269, 20707, 756, 7491, 340, 267, 570, 16230, 323, 2967, 268, 10202, 781, 476, 1428, 332, 30041, 19730, 17700, 267, 568, 10268, 538, 513, 1804, 11308, 10689, 269, 2201, 519, 6288, 781, 7532, 2427, 568, 519, 1744, 20041, 695, 9068, 918, 553, 32256, 19248, 22781, 267, 799, 7389, 547, 476, 278, 6924, 589, 6185, 269, 543, 811, 982, 476, 274, 267, 1822, 26816, 3179, 454, 20373, 281, 301, 4673, 568, 4092, 1447, 982, 835, 5662, 689, 19109, 9369, 543, 14642, 10440, 269, 9603, 547, 922, 2250, 607, 519, 1101, 8628, 3854, 267, 519, 2749, 3788, 2407, 540, 8978, 16782, 267, 1519, 930, 540, 3567, 781, 9510, 543, 4102, 17633, 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 ]
[ 0, 14722, 723, 1031, 519, 6293, 547, 8495, 824, 4224, 543, 29056, 5439, 2059, 519, 30024, 781, 2619, 998, 519, 13153, 918, 1301, 534, 28188, 269, 1924, 2484, 267, 891, 13753, 723, 1336, 4277, 5439, 540, 25183, 4837, 543, 2326, 602, 949, 723, 2097, 689, 519, 16264, 25136, 269, 901, 18700, 4224, 5654, 899, 11935, 543, 31732, 26360, 689, 519, 2666, 267, 799, 2306, 621, 1360, 8966, 563, 10303, 519, 4224, 568, 1869, 23650, 776, 543, 814, 6654, 31393, 693, 519, 6316, 540, 519, 4224, 267, 3744, 1589, 621, 568, 1869, 1360, 1762, 2520, 10999, 269, 16242, 689, 5222, 543, 8143, 9979, 267, 607, 1134, 607, 824, 3029, 540, 29056, 593, 519, 7599, 781, 2627, 267, 666, 2736, 1524, 7725, 883, 10199, 20085, 5546, 936, 942, 269, 12207, 1179, 4327, 593, 875, 519, 7725, 4646, 563, 763, 1034, 2693, 3069, 568, 602, 922, 1764, 30275, 320, 3357, 689, 513, 7404, 28188, 269, 12207, 849, 3494, 602, 713, 3337, 540, 4224, 949, 581, 4646, 676, 513, 1184, 1572, 838, 718, 566, 267, 538, 799, 519, 1764, 15998, 540, 519, 4224, 616, 27762, 2476, 689, 519, 7404, 2627, 267, 855, 798, 711, 1995, 519, 1764, 2604, 4810, 676, 519, 1463, 1764, 1858, 269, 4329, 7634, 540, 713, 8966, 4224, 568, 4867, 9709, 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 ]
[ 0, 272, 269, 28081, 1053, 883, 2516, 269, 3962, 1895, 2115, 693, 2547, 21450, 1268, 945, 814, 513, 5985, 3926, 563, 273, 269, 1403, 741, 6049, 8254, 3085, 1405, 8850, 3713, 543, 1232, 1712, 30040, 9479, 267, 2307, 1053, 547, 454, 275, 269, 12338, 873, 856, 543, 1747, 873, 1472, 707, 1362, 1315, 1153, 563, 272, 269, 12315, 1142, 1895, 513, 17157, 4580, 543, 513, 4062, 540, 1957, 865, 789, 666, 2328, 1524, 519, 1232, 10757, 2055, 543, 741, 4267, 547, 873, 563, 273, 269, 11512, 547, 519, 1053, 602, 519, 9479, 616, 6456, 1472, 519, 1153, 269, 3962, 2319, 786, 1205, 21450, 1448, 585, 1142, 2243, 789, 7157, 1232, 1712, 543, 5299, 1524, 5196, 741, 6656, 267, 543, 513, 2417, 29375, 302, 2798, 952, 789, 666, 1287, 1683, 519, 2953, 2626, 543, 2328, 713, 1524, 18284, 519, 2243, 563, 274, 269, 589, 3118, 789, 979, 256, 634, 16771, 568, 519, 1101, 2319, 547, 2132, 609, 519, 1034, 2953, 4267, 538, 519, 942, 2139, 269, 901, 1223, 581, 1369, 513, 3992, 267, 610, 1282, 513, 12899, 19874, 267, 610, 1256, 936, 1896, 2395, 2336, 275, 269, 589, 2143, 2013, 1353, 538, 875, 547, 1305, 909, 513, 3811, 30040, 2480, 822, 10152, 15391, 1210, 713, 1907, 666, 581, 1336, 1934, 563, 347, 272, 269, 476, 272, 269, 1548, 2186, 540, 3113, 568, 513, 13392, 1599, 286, 1475, 320, 29236, 1475, 273, 269, 476, 273, 269, 1215, 798, 596, 917, 2436, 519, 3113, 10741, 909, 610, 1524, 286, 1475, 2252, 513, 568, 2318, 519, 3113, 10741, 909, 543, 952, 513, 568, 2942, 519, 3113, 10741, 1524, 13954, 274, 269, 476, 274, 269, 1215, 798, 596, 1265, 519, 14584, 286, 1475, 343, 15871, 321, 270, 273, 320, 269, 3973, 12990, 538, 519, 1871, 540, 1535, 547, 1265, 586, 13954, 275, 269, 476, 275, 269, 1215, 798, 596, 917, 952, 519, 14584, 568, 513, 1295, 636, 636, 610, 5021, 286, 1475, 11947, 1448, 568, 3193, 543, 1970, 1448, 568, 1295, 1475, 276, 269, 476, 276, 269, 1548, 568, 519, 1899, 1572, 602, 17337, 519, 3113, 540, 519, 1599, 538, 3368, 286, 1475, 1467, 540, 15340, 2008, 9223, 476, 272, 630, 1993, 476, 276, 994, 9223, 476, 273, 630, 1993, 476, 276, 994, 9223, 476, 274, 630, 1993, 476, 276, 994, 9223, 476, 275, 630, 1993, 476, 276, 994, 9223, 476, 276, 630, 1993, 476, 276, 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 ]
[ 0, 2691, 729, 519, 15292, 689, 13276, 2742, 547, 1395, 339, 25081, 888, 18550, 476, 278, 267, 476, 3422, 276, 910, 6168, 476, 7785, 1004, 2253, 513, 15292, 689, 17286, 2742, 267, 17665, 267, 547, 27293, 267, 17665, 267, 3366, 676, 11066, 543, 670, 846, 320, 13879, 269, 16205, 1667, 3747, 606, 1439, 547, 7130, 538, 28056, 14261, 563, 18794, 5981, 320, 12226, 454, 20055, 1118, 5981, 320, 21273, 543, 2671, 707, 1702, 609, 519, 1158, 4041, 27073, 27749 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6333, 2899, 1586, 938, 32545, 540, 1053, 538, 513, 1899, 269, 31962, 519, 9136, 538, 519, 3113, 454, 258, 2099, 32545, 267, 543, 602, 519, 8728, 2099, 2220, 2355, 540, 11105, 1053, 269, 3097, 258, 1284, 1616, 547, 1374, 513, 22051, 3113, 267, 2597, 532, 8728, 2362, 585, 7575, 602, 616, 9875, 547, 1118, 269, 3097, 258, 6904, 540, 891, 1223, 581, 3362, 8045, 676, 3274, 26471, 12035, 547, 519, 8728, 2907, 3097, 258, 538, 519, 3113, 2496, 454, 258, 589, 264, 589, 1804, 2875, 945, 568, 2352, 547, 1847, 1472, 538, 1899, 269, 1496, 311, 2639, 258, 645, 264, 589, 20202, 5544, 593, 519, 6989, 799, 568, 2352, 547, 1847, 5196, 543, 1055, 540, 269, 1496, 311, 2639, 258, 595, 264, 589, 2875, 945, 759, 1235, 3350, 547, 519, 1394, 540, 519, 1899, 267, 855, 24693, 3350, 4724, 519, 4395, 780, 258, 3503, 513, 13379, 539, 10955, 613, 1362, 602, 11498, 22750, 269, 4706, 4020, 528, 3340, 513, 2597, 9936, 267, 3097, 258, 607, 1134, 607, 519, 6724, 689, 22750, 269, 1411, 1058, 10123, 1331, 513, 1205, 26574, 1505, 269, 3097, 258, 634, 5569, 1871, 540, 513, 13379, 539, 10955, 613, 689, 6843, 589, 547, 645, 609, 513, 2597, 540, 476, 274, 1058, 581, 834, 288, 15010, 289, 630, 274, 264, 6231, 258, 1362, 13379, 539, 10955, 613, 263, 10955, 613, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 521, 21683, 267, 3186, 267, 2597, 2187, 258, 1363, 1948, 2659, 3009, 1934, 454, 258, 1363, 1780, 454, 258, 672, 1219, 1205, 26574, 4311, 2187, 258, 1363, 1948, 2659, 3009, 1934, 454, 258, 1363, 1780, 454, 258, 672, 1219, 6449, 1598, 9191, 1345, 2187, 258, 1363, 1948, 2659, 3009, 1934, 454, 258, 1363, 1780, 692, 5035, 13379, 539, 10955, 613, 263, 10955, 613, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 521, 21683, 267, 3186, 267, 2597, 2187, 1038, 1582, 4732, 21683, 815, 521, 21683, 454, 1038, 1582, 6155, 652, 815, 3186, 454, 1038, 1582, 269, 7076, 815, 2597, 454, 825, 1219, 1205, 26574, 4311, 2187, 1038, 2132, 1582, 269, 7076, 454, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1193, 4311, 4732, 21683, 264, 1341, 834, 15010, 257, 1341, 1193, 4311, 6155, 652, 264, 1341, 834, 9497, 1341, 1193, 4311, 269, 7076, 264, 1341, 834, 17983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1492, 575, 1794, 16279, 609, 10156, 7953, 538, 713, 1974, 814, 811, 15556, 267, 1317, 540, 519, 1604, 789, 1185, 513, 1732, 4960, 540, 15720, 538, 7381, 6371, 563, 20776, 341, 2526, 540, 519, 674, 8636, 652, 454, 300, 16615, 3361, 519, 1689, 540, 8390, 799, 729, 10156, 7953, 267, 713, 729, 519, 1200, 3386, 16023, 543, 729, 5293, 1055, 607, 741, 15556, 269, 1358, 9862, 547, 519, 1604, 609, 873, 1317, 621, 3947, 873, 513, 1732, 5413, 540, 15720, 538, 7381, 6371, 563, 4537, 3424, 538, 12093, 454, 10214, 952, 621, 5795, 873, 513, 1732, 15720, 5413, 267, 621, 3947, 519, 575, 1794, 16279, 513, 9875, 4960, 547, 7639, 267, 1317, 789, 616, 14887, 1813, 547, 519, 3259, 540, 7953, 543, 3947, 21495, 513, 1732, 4960, 267, 543, 3947, 513, 1906, 2110, 268, 5586, 575, 1794, 21304, 547, 16196, 563, 2419, 5190, 538, 5444, 7535, 454, 523, 4921, 609, 3476, 6371, 2285, 10156, 1850, 575, 1794, 21304, 513, 1732, 4960, 1317, 741, 10156, 7953, 948, 873, 12404, 538, 519, 6371, 1732, 267, 741, 5356, 15068, 543, 789, 5293, 741, 16023, 593, 563, 294, 14993, 4991, 10156, 936, 942, 1813, 547, 519, 1604, 269, 901, 3947, 519, 575, 1794, 16279, 1100, 5413, 547, 6668, 267, 543, 3476, 1850, 575, 1794, 16279, 1205, 513, 1732, 4960, 1813, 547, 5488, 3432, 269, 634, 10156, 1850, 575, 1794, 16279, 729, 1869, 8429, 593, 741, 27446, 267, 855, 711, 607, 1454, 563, 763, 8516, 585, 713, 3662, 568, 1164, 1317, 3476, 1850, 575, 1794, 21304, 723, 519, 15028, 16023, 543, 2661, 267, 543, 16196, 1247, 519, 575, 1794, 21304, 609, 10156, 7953, 1376, 12955, 543, 711, 10063, 1424, 607, 1454, 1317, 540, 2825, 1689, 267, 543, 2067, 5542, 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 ]
[ 0, 5228, 5569, 1104, 18685, 267, 16543, 10628, 692, 7116, 6160, 815, 16543, 10628, 1341, 18685, 692, 2745, 3488, 396, 509, 23485, 8563, 20046, 256, 315, 333, 7055, 8587, 1412, 272, 269, 2843, 509, 4814, 22147, 13077, 9261, 9261, 3522, 16044, 482, 18775, 9261, 4138, 31589, 20046, 11012, 6459, 13833, 3522, 4814, 9841, 16068, 4344, 4736, 18775, 28821, 4814, 13833, 31606, 21162, 3264, 10780, 3378, 25602, 6459, 32553, 3522, 8563, 4138, 4344, 7846, 269, 1422, 333, 7055, 8587, 1412, 273, 269, 2843, 509, 7846, 13150, 3522, 9326, 11012, 4344, 4814, 30718, 3522, 16068, 13194, 20265, 10948, 3522, 20046, 30935, 8563, 21268, 20732, 23845, 3264, 29824, 22147, 13077, 9261, 9261, 9924, 26142, 333, 7055, 8587, 1412, 21228, 21228, 21228, 6303, 3071, 1693, 13090, 262, 9239, 3698, 4283, 8217, 10031, 825, 1250, 8217, 815, 22373, 834, 2639, 825, 4283, 23952, 815, 834, 323, 4840, 825, 1247, 4283, 23952, 11203, 1496, 3269, 14158, 1038, 4283, 23952, 815, 630, 6358, 2891, 29551, 8563, 29391, 4138, 16021, 11012, 6459, 8563, 13833, 281, 476, 834, 26895, 12294, 4590, 1038, 952, 4283, 23952, 2652, 834, 13426, 2018, 1820, 2891, 2411, 9339, 4840, 4449, 476, 27719, 333, 29551, 9924, 10780, 16417, 4814, 27593, 20434, 29824, 22147, 13077, 9261, 9261, 7846, 32405, 1038, 585, 1347, 538, 1110, 6160, 912, 2018, 4283, 23952, 815, 4283, 23952, 18622, 2897, 263, 10420, 267, 834, 19515, 1038, 4283, 23952, 815, 4283, 23952, 21858, 2891, 19515, 1038, 1250, 8217, 815, 1250, 8217, 1341, 4283, 23952, 454, 825, 2132, 1250, 8217, 7531, 5320, 815, 4283, 8217, 4590, 5320, 31699, 4590, 6112, 2262, 314, 271, 316, 2652, 834, 13426, 825, 2262, 31927, 2891, 5602, 5320, 31927, 2891, 19515, 14075, 29999, 815, 7003, 27182, 994, 604, 1279, 29999, 2999, 476, 272, 912, 825, 1820, 2891, 29551, 9924, 14359, 3264, 11714, 8563, 3264, 20434, 11012, 6459, 13833, 18194, 31124, 11012, 4344, 19277, 4138, 13150, 4138, 24012, 32405, 604, 1279, 29999, 11203, 476, 271, 912, 825, 1820, 2891, 2411, 9339, 5602, 825, 1820, 2891, 396, 350, 6459, 13833, 3522, 15800, 13194, 476, 16021, 7549, 13150, 3522, 16068, 4344, 4736, 18775, 28821, 4814, 13833, 31606, 21162, 3264, 10780, 3378, 25602, 6459, 32553, 3522, 8563, 4138, 4344, 7846, 281, 19515, 825, 1820, 27182, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3848, 476, 1556, 281, 634, 2353, 675, 540, 5463, 599, 543, 22859, 514, 538, 20096, 11470, 692, 296, 269, 4985, 692, 763, 1523, 540, 9178, 543, 25010, 814, 1279, 4371, 513, 1713, 1747, 538, 575, 15402, 3332, 269, 3245, 1835, 22824, 28151, 547, 20495, 524, 655, 2678, 625, 267, 891, 5468, 4196, 547, 18427, 4606, 540, 11552, 848, 267, 9814, 267, 543, 1256, 22906, 1369, 3988, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 27559, 540, 9178, 543, 25010, 538, 575, 15402, 5708, 676, 6313, 1585, 2609, 971, 607, 5790, 267, 13513, 267, 543, 3140, 2796, 269, 1284, 786, 849, 2015, 4207, 12496, 540, 713, 7708, 701, 267, 1519, 922, 946, 538, 2442, 2528, 543, 2923, 780, 2862, 269, 22014, 1877, 543, 28239, 692, 13356, 11691, 5054, 616, 1419, 1031, 538, 575, 15402, 3332, 547, 3715, 513, 2631, 540, 2062, 321, 5317, 543, 8082, 269, 1452, 8920, 777, 573, 730, 5624, 267, 4904, 609, 25865, 933, 2125, 267, 890, 9934, 3774, 17549, 267, 543, 7745, 11647, 267, 1711, 606, 796, 3553, 339, 1782, 5790, 602, 19388, 619, 936, 1312, 3197, 543, 3988, 7567, 269, 1280, 1383, 267, 538, 1744, 597, 2917, 12722, 781, 5929, 3209, 834, 763, 670, 17481, 540, 10830, 5600, 2437, 519, 16502, 6257, 1200, 3355, 12705, 540, 519, 20807, 539, 544, 6416, 607, 5205, 281, 834, 5591, 1480, 3750, 666, 20586, 519, 29043, 14626, 2064, 540, 1899, 543, 7455, 799, 2306, 513, 2777, 4190, 543, 22192, 282, 513, 1253, 7675, 2179, 540, 1480, 5075, 4422, 883, 9319, 10750, 1919, 1701, 1635, 10771, 519, 21324, 543, 579, 6921, 1465, 540, 519, 4259, 267, 12722, 3927, 22136, 1200, 5304, 585, 8090, 540, 9810, 543, 24457, 780, 7656, 269, 29526, 543, 27484, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 288, 2123, 5542, 540, 9708, 689, 519, 17826, 18248, 3101, 8416, 543, 3564, 269, 4014, 594, 4043, 547, 10839, 1250, 5172, 11353, 267, 5225, 798, 4945, 998, 543, 1224, 519, 2898, 9708, 269, 1411, 666, 849, 19584, 519, 5816, 7558, 21287, 267, 24049, 547, 922, 681, 7704, 3049, 538, 707, 5172, 3049, 5467, 267, 610, 267, 952, 596, 8910, 899, 621, 538, 707, 28600, 267, 24049, 593, 15240, 871, 269, 901, 3018, 281, 2025, 2835, 543, 8021, 267, 16079, 6455, 5443, 267, 28182, 543, 4715, 8163, 267, 15166, 1886, 1127, 543, 519, 1642, 2074, 540, 1272, 269, 17949, 256, 25594, 2542, 968, 22437, 4479, 18248, 6226, 652, 476, 1708, 274, 267, 10432, 476, 4366, 7536, 288, 2123, 5542, 540, 9708, 689, 519, 17826, 18248, 3101, 8416, 543, 3564, 269, 4014, 594, 4043, 547, 10839, 1250, 5172, 11353, 267, 5225, 798, 4945, 998, 543, 1224, 519, 2898, 9708, 269, 1411, 666, 849, 19584, 519, 5816, 7558, 21287, 267, 24049, 547, 922, 681, 7704, 3049, 538, 707, 5172, 3049, 5467, 267, 610, 267, 952, 596, 8910, 899, 621, 538, 707, 28600, 267, 24049, 593, 15240, 871, 269, 901, 3018, 281, 2034, 8518, 2835, 267, 670, 12522, 345, 2820, 1588, 267, 24758, 16645, 517, 267, 26881, 678, 14554, 267, 13341, 609, 13032, 338, 267, 543, 1454, 811, 269, 17949, 563, 5472, 3781, 519, 2842, 267, 519, 544, 4428, 1194, 13626, 540, 513, 2915, 1922, 334, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 20096, 1315, 5463, 599, 543, 22859, 514, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 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 ]
[ 0, 17457, 2792, 543, 9300, 2029, 13745, 609, 3532, 4806, 6284, 6620, 585, 1344, 10868, 543, 8760, 1450, 519, 1646, 543, 946, 540, 7471, 1949, 547, 10994, 2825, 2042, 269, 901, 5610, 568, 3226, 9621, 585, 3156, 538, 7693, 8105, 267, 1141, 971, 1949, 666, 948, 547, 1852, 2208, 543, 2087, 11729, 1247, 5739, 2825, 5222, 616, 31965, 269, 4935, 267, 519, 5075, 540, 4264, 6683, 585, 24455, 267, 20471, 267, 543, 9170, 538, 519, 1158, 666, 581, 2322, 883, 3914, 269, 901, 3184, 8039, 543, 6799, 4485, 547, 2030, 2068, 8760, 1759, 593, 1591, 6049, 2592, 267, 513, 3209, 1259, 547, 3761, 6705, 609, 10531, 1344, 543, 4393, 7840, 538, 1483, 942, 269, 11153, 8579, 3239, 2934, 543, 513, 3209, 10325, 540, 7893, 2199, 18282, 540, 6978, 9634, 616, 5189, 269, 634, 8760, 540, 2068, 2589, 3361, 676, 1585, 13271, 610, 4551, 616, 11117, 585, 1079, 1271, 6694, 7693, 8677, 267, 10568, 543, 4006, 14043, 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 ]
[ 0, 18411, 763, 800, 912, 825, 589, 10518, 568, 513, 5276, 1239, 2497, 799, 1568, 593, 2063, 538, 1101, 856, 630, 299, 9281, 302, 1916, 825, 2353, 1614, 2596, 4238, 630, 1372, 8541, 267, 7696, 267, 4159, 264, 568, 10858, 547, 519, 454, 825, 1034, 2487, 3693, 540, 519, 10518, 780, 22129, 543, 942, 6988, 912, 825, 476, 272, 269, 6611, 6988, 281, 744, 3799, 994, 825, 476, 273, 269, 23453, 281, 744, 263, 272, 994, 825, 476, 274, 269, 1546, 8541, 281, 744, 263, 272, 994, 825, 476, 275, 269, 18224, 281, 744, 263, 272, 994, 825, 476, 276, 269, 1772, 8900, 281, 744, 263, 272, 2020, 18257, 7531, 5035, 29571, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 14714, 871, 815, 29129, 825, 1219, 7903, 4311, 267, 1871, 17107, 1038, 23288, 1038, 32379, 519, 3403, 1871, 693, 519, 1283, 540, 519, 10518, 454, 1038, 15981, 692, 1038, 1582, 14714, 871, 6910, 263, 7407, 2020, 825, 1219, 1402, 4311, 17107, 1038, 23288, 1038, 17179, 543, 3977, 519, 3693, 693, 519, 1283, 540, 519, 10518, 454, 1038, 15981, 692, 1038, 1582, 14714, 871, 21014, 10797, 825, 1219, 1283, 4311, 17107, 1038, 23288, 1038, 19243, 519, 3693, 693, 519, 1283, 540, 519, 10518, 454, 1038, 15981, 692, 1038, 2132, 1582, 14714, 871, 15631, 272, 6540, 825, 1219, 568, 318, 24105, 4311, 17107, 1038, 23288, 1038, 19243, 1630, 18978, 1871, 585, 2436, 519, 10518, 568, 8900, 610, 711, 454, 1038, 15981, 692, 1038, 952, 1582, 14714, 871, 2652, 1496, 14158, 2018, 2132, 6936, 692, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 1820, 318, 718, 21223, 6123, 4311, 17107, 1038, 1820, 4311, 14714, 871, 2020, 23637, 815, 29571, 4590, 23637, 18994, 318, 24105, 4590, 23637, 4877, 2313, 263, 1321, 994, 23637, 4877, 2313, 263, 277, 994, 23637, 4877, 2313, 263, 9262, 994, 23637, 4877, 2313, 263, 3445, 994, 9008, 21223, 12661, 815, 10518, 6745, 641, 4590, 2745, 6025, 641, 21223, 12661, 994, 23637, 21014, 4590, 23637, 21014, 4590, 23637, 31428, 318, 718, 21223, 6123, 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 ]
[ 0, 5035, 10395, 1588, 296, 614, 1807, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 3197, 267, 4999, 21920, 2187, 1038, 8173, 1038, 2433, 6943, 3197, 281, 1193, 454, 1038, 2433, 6943, 4999, 21920, 281, 703, 454, 1038, 8173, 1038, 1582, 8807, 1009, 18989, 454, 1038, 1582, 269, 3240, 318, 1551, 284, 4289, 263, 10420, 3030, 994, 1038, 1582, 269, 3240, 26371, 17342, 2639, 1038, 585, 1775, 538, 2039, 263, 18474, 1588, 21920, 2187, 2018, 1582, 269, 3240, 26371, 6910, 9217, 994, 1363, 692, 825, 1219, 1985, 4311, 2187, 1038, 8173, 1038, 2433, 337, 6943, 281, 1193, 454, 1038, 8173, 1038, 952, 1582, 8807, 1009, 912, 2018, 1582, 8807, 1009, 25716, 454, 2018, 2132, 318, 1551, 284, 3269, 454, 2018, 585, 1775, 538, 1582, 269, 3240, 26371, 912, 3546, 2132, 318, 1551, 23785, 1345, 269, 3240, 318, 1551, 5157, 2639, 2018, 2132, 2132, 318, 1551, 454, 1038, 952, 1582, 269, 3240, 26371, 15631, 272, 316, 2525, 6352, 4311, 269, 3240, 318, 1551, 9984, 272, 912, 2018, 585, 1775, 538, 2039, 12759, 4311, 269, 3240, 26371, 9984, 272, 16427, 272, 16427, 272, 2187, 3546, 952, 1582, 269, 3240, 26371, 5157, 316, 283, 6352, 4311, 269, 3240, 318, 1551, 9984, 272, 912, 7386, 1582, 269, 3240, 26371, 5157, 316, 23785, 272, 454, 7386, 2736, 454, 2018, 585, 795, 538, 2039, 9217, 266, 272, 267, 6352, 4311, 269, 3240, 26371, 15892, 3546, 1582, 269, 3240, 26371, 14728, 24557, 1345, 269, 3240, 26371, 14728, 268, 272, 27994, 272, 454, 1038, 3116, 912, 2018, 1582, 269, 3240, 26371, 15631, 272, 316, 23785, 272, 454, 1038, 2132, 318, 1551, 284, 3269, 454, 1038, 585, 1775, 538, 1582, 269, 3240, 26371, 912, 2018, 2132, 318, 1551, 23785, 1345, 269, 3240, 318, 1551, 5157, 2639, 1038, 2132, 2132, 318, 1551, 28329, 13872, 27030, 1363, 692, 825, 1219, 814, 9202, 4311, 2187, 1038, 8173, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 952, 1582, 269, 3240, 26371, 15631, 272, 316, 2525, 6352, 4311, 269, 3240, 318, 1551, 9984, 272, 912, 2018, 585, 1775, 538, 2039, 12759, 4311, 269, 3240, 26371, 9984, 272, 16427, 272, 16427, 272, 2187, 3546, 952, 1582, 269, 3240, 26371, 5157, 316, 283, 6352, 4311, 269, 3240, 318, 1551, 9984, 272, 912, 7386, 2736, 454, 2018, 585, 795, 538, 2039, 9217, 267, 6352, 4311, 269, 3240, 26371, 15892, 3546, 737, 284, 272, 454, 3546, 952, 1582, 269, 3240, 26371, 14728, 27994, 330, 285, 284, 6352, 4311, 269, 3240, 318, 1551, 9984, 272, 912, 7386, 2132, 8771, 454, 3546, 737, 23785, 272, 454, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 6936, 454, 4449, 454, 1363, 7531, 258, 2659, 10395, 1588, 296, 614, 1807, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 28128, 815, 10395, 1588, 296, 614, 1807, 2891, 29582, 2580, 476, 273, 994, 12407, 318, 272, 815, 1073, 329, 12785, 4590, 12407, 318, 273, 815, 1073, 329, 269, 13757, 9202, 4590, 2745, 263, 12407, 318, 272, 994, 2745, 263, 12407, 318, 273, 994, 2745, 263, 28128, 12785, 15405, 2745, 263, 28128, 269, 13757, 9202, 15405, 2745, 263, 28128, 269, 13757, 9202, 15405, 2745, 263, 28128, 12785, 15405, 2745, 263, 28128, 12785, 15405, 2745, 263, 28128, 269, 13757, 9202, 15405, 2745, 263, 28128, 269, 13757, 9202, 15405, 2745, 263, 28128, 269, 13757, 9202, 15405, 2745, 263, 28128, 269, 13757, 9202, 28829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12944, 454, 19688, 476, 1789, 267, 476, 1001, 277, 692, 258, 14581, 6435, 281, 8212, 692, 16829, 676, 19759, 807, 593, 10732, 267, 5181, 476, 2190, 267, 476, 1220, 277, 693, 476, 274, 281, 2412, 10975, 780, 10521, 14884, 267, 1142, 2348, 513, 3432, 540, 476, 1789, 5998, 10774, 267, 616, 18188, 693, 1142, 824, 593, 519, 1482, 2786, 3950, 269, 589, 6177, 602, 666, 8038, 476, 2568, 5998, 10774, 13733, 1055, 519, 4395, 540, 835, 5721, 950, 789, 616, 476, 2568, 5998, 6306, 543, 9843, 2047, 585, 519, 824, 5721, 269, 2201, 8757, 519, 824, 5721, 267, 621, 13733, 2047, 1394, 547, 519, 1101, 5721, 267, 543, 865, 8521, 269, 1548, 568, 519, 2698, 3845, 519, 6177, 12599, 2496, 16032, 547, 2721, 513, 15415, 609, 513, 6516, 585, 1142, 1883, 4090, 538, 942, 269, 2913, 721, 917, 952, 596, 1205, 12758, 780, 1692, 1279, 1354, 519, 14884, 2743, 286, 1215, 1279, 568, 519, 6177, 538, 519, 2011, 286, 1215, 2484, 666, 519, 6177, 8038, 538, 602, 942, 2496, 2568, 5998, 692, 763, 6177, 568, 10707, 585, 606, 5662, 1317, 621, 3217, 519, 1079, 14884, 476, 2568, 3764, 547, 2951, 476, 1789, 5998, 547, 519, 1448, 540, 16580, 269, 4595, 519, 6177, 814, 1044, 10760, 585, 476, 2568, 3764, 543, 621, 2951, 525, 476, 272, 5998, 829, 8792, 267, 630, 2568, 1295, 264, 2608, 630, 272, 5998, 1315, 1295, 264, 815, 476, 2568, 5998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1432, 596, 3580, 1451, 454, 268, 6258, 827, 4359, 3584, 899, 5008, 999, 543, 513, 2603, 811, 563, 268, 1306, 2106, 28942, 5752, 609, 31828, 1314, 267, 674, 21255, 16286, 267, 8871, 2478, 267, 543, 1306, 2106, 322, 1315, 21220, 7159, 616, 782, 1806, 540, 607, 2106, 28942, 5752, 563, 268, 1488, 7590, 543, 27014, 20121, 31382, 454, 30606, 338, 267, 2148, 1023, 267, 3252, 267, 9165, 11800, 267, 4020, 832, 267, 543, 1454, 811, 786, 581, 4988, 563, 1607, 1576, 786, 1491, 596, 547, 519, 1985, 1377, 676, 8720, 782, 540, 519, 1950, 3584, 538, 606, 2653, 3562, 268, 16187, 6073, 269, 1411, 3580, 1451, 689, 4052, 1806, 538, 1840, 547, 1239, 2497, 17950, 267, 543, 596, 3580, 581, 2111, 547, 1711, 4190, 543, 2407, 3156, 563, 28723, 3741, 786, 581, 27058, 563, 7437, 713, 1576, 267, 649, 4988, 281, 8894, 268, 1488, 7590, 267, 3252, 267, 3615, 454, 268, 1488, 992, 9577, 454, 268, 10426, 676, 10025, 5288, 269, 1780, 676, 4704, 454, 268, 1362, 18472, 454, 268, 7926, 31230, 454, 3674, 972, 513, 30162, 540, 1806, 286, 1703, 616, 3875, 1806, 563, 8005, 713, 1576, 568, 585, 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 ]
[ 0, 769, 513, 14297, 2749, 5030, 513, 15931, 2370, 8773, 3957, 12157, 339, 269, 12157, 339, 729, 23553, 547, 948, 1004, 1265, 519, 1655, 1272, 6142, 4507, 2228, 269, 1261, 5249, 24091, 1554, 543, 3781, 267, 17655, 519, 1357, 585, 519, 3501, 3817, 547, 3391, 1010, 2828, 547, 269, 1809, 12157, 339, 8068, 1945, 1107, 9039, 540, 891, 3817, 941, 1500, 2523, 585, 1272, 6142, 256, 1924, 267, 646, 4956, 547, 1711, 1010, 1360, 1378, 13941, 2985, 780, 289, 27117, 6785, 4010, 1018, 547, 798, 269, 2060, 513, 31933, 267, 17715, 1374, 267, 646, 9676, 519, 3007, 540, 782, 945, 10272, 269, 21864, 16181, 1572, 11632, 2026, 9415, 2828, 547, 3251, 3476, 267, 3695, 519, 3407, 1344, 12157, 339, 1185, 10356, 269, 1677, 1205, 3323, 267, 1142, 21233, 1131, 2671, 930, 3877, 281, 741, 2407, 2012, 267, 4757, 267, 6049, 1297, 267, 14512, 267, 543, 4008, 780, 3080, 13566, 12784, 267, 1079, 8049, 2828, 267, 5981, 543, 16092, 267, 16686, 2390, 12157, 339, 781, 5137, 269, 1358, 9289, 875, 4687, 865, 1454, 9623, 1223, 1832, 873, 2922, 2228, 269, 5981, 4280, 12157, 339, 267, 834, 1692, 1281, 938, 1239, 1118, 721, 5150, 8119, 12157, 339, 25747, 6045, 267, 834, 2005, 2337, 803, 1397, 596, 519, 1034, 5078, 1272, 6142, 3091, 267, 1818, 2386, 707, 2104, 3788, 6505, 15323, 20694, 543, 16092, 6170, 3108, 1565, 827, 1114, 4566, 267, 4743, 8746, 6616, 789, 1185, 12157, 339, 676, 741, 2427, 269, 1306, 789, 5423, 547, 4734, 267, 12157, 339, 1767, 267, 834, 10673, 1405, 7340, 547, 1129, 909, 585, 1250, 3377, 24393, 543, 5816, 10311, 585, 6024, 1489, 10590, 19196, 1243, 569, 267, 5981, 543, 16092, 8815, 269, 1717, 267, 950, 3843, 547, 2824, 519, 1412, 2181, 26606, 11727, 262, 4781, 267, 789, 4362, 621, 7012, 1405, 2139, 2943, 780, 30342, 25922, 267, 5981, 6743, 693, 16092, 543, 521, 19042, 267, 834, 296, 7058, 649, 991, 547, 7227, 1701, 3807, 1287, 267, 12157, 339, 29169, 267, 834, 6546, 781, 1318, 267, 543, 1934, 781, 519, 1271, 851, 1765, 14396, 543, 2029, 7683, 11457, 267, 2141, 6028, 4055, 585, 6454, 269, 2290, 1554, 267, 594, 4126, 547, 2709, 1256, 1732, 2533, 10590, 1656, 1498, 1919, 4769, 1405, 979, 10502, 607, 9709, 267, 519, 2468, 334, 4121, 513, 4105, 3992, 1927, 281, 9639, 6770, 3356, 267, 543, 3006, 7996, 796, 1723, 951, 8748, 1007, 3255, 538, 1312, 1272, 543, 2257, 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, 2108, 8620, 513, 16419, 13941, 2985, 2966, 585, 10451, 2298, 5012, 4481, 585, 1272, 6142, 4507, 269, 634, 13941, 2985, 1590, 723, 606, 17715, 543, 31933, 1374, 267, 11093, 7580, 7125, 3562, 268, 9146, 630, 6311, 2026, 264, 547, 5000, 8436, 547, 4497, 593, 519, 3896, 585, 513, 3476, 8653, 269, 634, 3593, 1590, 3403, 741, 2143, 2123, 1344, 267, 971, 607, 741, 2407, 2012, 267, 4757, 267, 6049, 1297, 267, 4266, 540, 4332, 267, 543, 4008, 269, 901, 2985, 786, 581, 5360, 5050, 609, 519, 7453, 4808, 540, 5616, 1520, 24552, 267, 4061, 267, 2519, 593, 17841, 1374, 267, 3728, 15205, 2053, 267, 1970, 25483, 3928, 267, 543, 23353, 1164, 7779, 1543, 269, 634, 8818, 786, 1683, 5730, 543, 3593, 7888, 5528, 547, 3986, 519, 3593, 1995, 269, 3958, 267, 519, 13941, 2985, 786, 4183, 513, 2688, 14184, 20478, 4216, 267, 1141, 3755, 666, 24049, 547, 513, 20394, 610, 4309, 2834, 5816, 10311, 267, 3976, 267, 3850, 4797, 6278, 1256, 1310, 789, 4734, 519, 2985, 269, 634, 20478, 4216, 786, 4183, 811, 10531, 3681, 267, 971, 607, 14167, 4018, 527, 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 ]
[ 0, 9223, 281, 1990, 328, 680, 1442, 9126, 454, 271, 269, 20177, 538, 1236, 32576, 7594, 454, 272, 269, 20177, 538, 986, 326, 7594, 454, 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 ]
[ 0, 1103, 741, 19976, 2090, 267, 519, 772, 2529, 269, 4972, 540, 10456, 543, 519, 2817, 4659, 540, 10456, 1336, 930, 18447, 7194, 593, 1126, 6057, 543, 10714, 269, 4256, 968, 22772, 902, 9244, 5815, 519, 2078, 1063, 6057, 543, 10714, 543, 32592, 1890, 543, 2937, 6309, 514, 1275, 543, 10795, 2623, 1848, 4014, 1100, 2582, 3815, 568, 2693, 547, 2272, 585, 1646, 540, 7803, 2623, 267, 519, 2956, 540, 6689, 6408, 1436, 607, 513, 1981, 3815, 585, 32592, 1890, 267, 2937, 6309, 514, 1275, 543, 5208, 814, 1831, 5051, 6444, 563, 1892, 22955, 585, 476, 1220, 274, 5815, 602, 25422, 827, 476, 9834, 267, 1822, 1453, 630, 8974, 476, 1240, 1296, 540, 2085, 264, 941, 16770, 26884, 563, 1892, 2806, 4310, 267, 20495, 1453, 616, 476, 275, 269, 279, 2053, 607, 2693, 547, 581, 18486, 607, 513, 11174, 563, 1892, 3828, 823, 607, 2693, 547, 581, 18486, 607, 606, 2937, 563, 1892, 476, 274, 269, 272, 2053, 607, 2693, 547, 581, 18486, 585, 513, 10795, 6760, 563, 1892, 476, 1704, 269, 276, 4939, 540, 8200, 1453, 723, 1044, 16770, 26884, 630, 332, 1446, 543, 4775, 282, 782, 6803, 885, 1916, 1892, 476, 382, 378, 540, 10419, 21116, 616, 2828, 610, 12543, 563, 1892, 6520, 693, 5207, 1981, 585, 4638, 6057, 538, 9038, 1107, 476, 275, 1296, 540, 2085, 282, 8951, 1107, 476, 1691, 1296, 540, 2085, 563, 6781, 2224, 267, 2687, 547, 5680, 9094, 281, 589, 18348, 2259, 269, 16700, 2224, 630, 323, 2607, 338, 1070, 21432, 267, 29405, 532, 4633, 269, 27190, 13015, 563, 6781, 2224, 281, 7102, 957, 610, 9000, 540, 2962, 2901, 2168, 610, 3929, 267, 602, 3423, 919, 519, 1134, 5630, 610, 15683, 540, 519, 1367, 563, 32056, 690, 2218, 281, 20309, 540, 513, 1970, 6644, 610, 9011, 1645, 6376, 563, 11514, 27920, 995, 281, 19768, 532, 2543, 610, 6161, 610, 547, 1521, 607, 7938, 20564, 610, 15877, 1871, 607, 513, 1480, 1373, 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 ]
[ 0, 9223, 281, 1548, 1079, 2262, 8360, 568, 590, 1048, 5674, 25595, 595, 1442, 2284, 6586, 2719, 27325, 585, 888, 12585, 281, 674, 2391, 8293, 611, 454, 2704, 328, 1162, 281, 674, 2391, 27805, 267, 674, 2391, 8293, 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 ]
[ 0, 18893, 673, 9196, 540, 29296, 17296, 538, 2713, 2634, 21100, 563, 22711, 9137, 630, 22711, 9137, 994, 2171, 2919, 606, 9804, 9196, 4480, 547, 2268, 2242, 538, 29296, 2157, 540, 1849, 268, 538, 11409, 1369, 519, 2713, 2634, 20105, 269, 2991, 3731, 2634, 21100, 941, 17861, 730, 609, 519, 15449, 656, 1106, 540, 519, 1849, 8987, 9984, 338, 17567, 20004, 267, 476, 277, 2173, 996, 20293, 9539, 268, 14007, 23936, 22223, 1756, 17296, 630, 10933, 304, 1070, 11409, 1223, 581, 708, 3042, 1369, 519, 28481, 25283, 267, 19548, 16794, 543, 6147, 31616, 1210, 28264, 22794, 269, 5637, 1474, 320, 543, 27765, 27866, 941, 5693, 7298, 538, 13470, 10537, 11409, 267, 954, 928, 584, 976, 267, 8830, 7219, 16660, 2281, 543, 6147, 10428, 541, 11491, 2544, 2281, 269, 16842, 29296, 2157, 540, 1849, 268, 941, 3812, 676, 8602, 3498, 540, 519, 7409, 7480, 32239, 267, 18325, 268, 3133, 984, 14280, 878, 3679, 630, 294, 29866, 1040, 10738, 28481, 2086, 531, 13470, 10537, 11409, 543, 954, 928, 584, 976, 267, 717, 29866, 3812, 513, 5834, 17466, 6175, 538, 28264, 630, 4488, 2004, 815, 476, 1220, 2890, 300, 1040, 634, 717, 29866, 3210, 729, 25358, 3842, 519, 717, 29866, 13805, 2094, 621, 729, 17808, 676, 533, 2222, 1729, 343, 514, 543, 13147, 17673, 676, 519, 30748, 626, 267, 1660, 322, 574, 565, 269, 4053, 322, 574, 565, 267, 799, 568, 711, 16487, 676, 519, 717, 29866, 556, 268, 340, 696, 820, 6802, 267, 729, 5111, 476, 736, 24670, 811, 14984, 982, 717, 29866, 269, 634, 1505, 2919, 729, 849, 1031, 547, 3239, 29296, 1849, 268, 2157, 609, 11158, 8955, 17655, 1476, 5914, 22794, 269, 4634, 3152, 6571, 729, 5833, 543, 4514, 3889, 1223, 581, 708, 3042, 538, 19548, 16794, 543, 28481, 25283, 269, 901, 568, 519, 1101, 17431, 540, 9804, 9196, 547, 2268, 29296, 1849, 268, 6384, 538, 2713, 2634, 21100, 1210, 28264, 22794, 543, 8955, 17655, 1476, 5914, 22794, 563, 268, 5576, 23702, 345, 267, 28251, 282, 24204, 267, 2473, 454, 268, 5437, 476, 1960, 276, 454, 24127, 1315, 17136, 454, 268, 476, 7830, 1315, 476, 272, 268, 273, 454, 9359, 1315, 7736, 8525, 454, 268, 476, 6977, 910, 476, 4572, 454, 17220, 9208, 5395, 658, 7089, 630, 3041, 17928, 994, 19445, 8629, 5772, 8595, 630, 23077, 296, 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 ]
[ 0, 17556, 325, 534, 3643, 513, 5458, 28624, 24289, 8511, 538, 13573, 602, 9428, 31480, 782, 1032, 5180, 269, 1261, 10742, 7225, 344, 1733, 8636, 6033, 945, 6941, 875, 789, 7556, 1216, 689, 519, 8122, 540, 519, 8511, 267, 2445, 621, 538, 513, 13111, 543, 946, 621, 3079, 540, 7148, 4248, 547, 1216, 741, 2371, 269, 769, 513, 17431, 267, 853, 1030, 534, 533, 2293, 1216, 689, 835, 8708, 883, 1776, 547, 2491, 875, 519, 1482, 4320, 540, 1216, 666, 2097, 538, 6266, 540, 1114, 5546, 269, 4635, 513, 25451, 4009, 7406, 646, 2982, 602, 585, 1169, 1984, 22015, 516, 540, 4764, 602, 8813, 593, 513, 4009, 25451, 610, 8122, 649, 1205, 513, 1396, 516, 540, 1216, 269, 7605, 6276, 2337, 1864, 5173, 875, 1454, 1216, 666, 581, 6394, 689, 519, 8511, 8122, 602, 568, 476, 8618, 267, 1822, 4009, 15432, 269, 853, 1030, 534, 9060, 856, 602, 621, 5673, 593, 519, 11811, 855, 593, 3328, 568, 476, 3374, 2929, 30184, 829, 1032, 269, 853, 1030, 534, 1287, 10742, 513, 1895, 540, 1453, 689, 3212, 520, 332, 3233, 12729, 3427, 945, 2911, 827, 519, 1216, 789, 991, 585, 741, 2462, 3235, 690, 31678, 543, 1397, 1864, 741, 1378, 4764, 16276, 1788, 1210, 519, 4677, 8774, 269, 8921, 853, 1030, 534, 2337, 873, 547, 5173, 875, 1454, 1216, 789, 666, 2445, 689, 741, 1292, 1153, 8122, 1210, 513, 4336, 1544, 540, 519, 1153, 563, 268, 901, 17157, 568, 689, 912, 268, 3689, 13739, 912, 268, 476, 2767, 4728, 476, 1001, 273, 454, 763, 1453, 666, 581, 4280, 547, 960, 856, 713, 6482, 540, 519, 1153, 8122, 1210, 513, 4336, 5373, 540, 519, 1153, 269, 1358, 666, 1265, 519, 10865, 543, 5993, 11811, 538, 707, 2199, 1858, 689, 519, 4950, 547, 5173, 875, 1454, 4764, 1223, 581, 19122, 269, 1215, 2462, 1131, 707, 1153, 1216, 4859, 7382, 723, 547, 581, 286, 1548, 1131, 581, 519, 2450, 540, 513, 1216, 4859, 7382, 585, 513, 3923, 267, 610, 513, 1032, 286, 7420, 519, 1453, 547, 5173, 875, 1082, 3275, 610, 1296, 621, 1131, 1491, 585, 519, 4859, 7382, 547, 581, 8273, 982, 707, 1153, 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 ]
[ 0, 290, 1328, 692, 19370, 476, 31973, 4200, 269, 4855, 519, 5011, 540, 606, 568, 30801, 6906, 950, 2016, 922, 1858, 543, 4463, 689, 922, 3490, 547, 30085, 692, 11405, 476, 4489, 4281, 275, 280, 692, 8138, 4784, 593, 476, 272, 9484, 476, 1001, 280, 676, 2274, 5556, 670, 24586, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 14818, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 10426, 454, 288, 815, 476, 1321, 282, 554, 815, 476, 275, 282, 586, 6831, 8091, 815, 1496, 276, 476, 276, 476, 277, 22049, 7682, 4433, 636, 263, 11274, 4433, 1938, 8170, 763, 31590, 4120, 10490, 267, 327, 9984, 344, 6831, 8091, 4297, 283, 272, 324, 268, 274, 2020, 273, 5231, 10426, 454, 288, 815, 476, 2568, 282, 554, 815, 476, 276, 282, 586, 6831, 8091, 815, 1496, 1724, 476, 1724, 476, 2190, 22049, 7682, 4433, 636, 263, 11274, 4433, 1938, 8170, 763, 31590, 4120, 10490, 267, 327, 9984, 344, 6831, 8091, 4297, 283, 272, 324, 268, 274, 2020, 274, 5231, 10426, 454, 288, 815, 476, 6344, 282, 554, 815, 476, 279, 282, 586, 6831, 8091, 815, 1496, 1704, 476, 1704, 476, 1789, 22049, 7682, 4433, 636, 263, 11274, 4433, 1938, 8170, 763, 31590, 4120, 10490, 267, 327, 9984, 344, 6831, 8091, 4297, 283, 272, 324, 268, 274, 2020, 275, 5231, 10426, 454, 288, 815, 476, 2004, 282, 554, 815, 476, 1556, 282, 586, 6831, 8091, 815, 1496, 1556, 269, 3445, 273, 14983, 18605, 278, 4097, 272, 476, 1556, 269, 3445, 273, 14983, 18605, 278, 4097, 272, 476, 280, 269, 271, 3445, 3445, 280, 271, 3445, 3445, 280, 6021, 22049, 7682, 4433, 636, 263, 11274, 4433, 1938, 8170, 763, 31590, 4120, 10490, 267, 327, 9984, 344, 6831, 8091, 4297, 283, 272, 324, 268, 274, 2020, 276, 5231, 10426, 454, 288, 815, 476, 276, 282, 554, 815, 476, 274, 282, 586, 6831, 8091, 815, 1496, 274, 269, 32542, 9262, 277, 278, 1724, 5780, 273, 3451, 476, 274, 269, 32542, 9262, 277, 278, 1724, 5780, 273, 3451, 476, 1015, 270, 274, 22049, 7682, 4433, 636, 263, 11274, 4433, 1938, 8170, 763, 31590, 4120, 10490, 267, 327, 9984, 344, 6831, 8091, 4297, 283, 272, 324, 268, 274, 2020, 277, 5231, 10426, 454, 288, 815, 476, 5611, 282, 554, 815, 476, 1015, 282, 586, 6831, 8091, 815, 1496, 1240, 269, 271, 2767, 4037, 277, 4391, 278, 29204, 280, 476, 1240, 269, 271, 2767, 4037, 277, 4391, 278, 29204, 280, 476, 1789, 22049, 7682, 4433, 636, 263, 11274, 4433, 1938, 8170, 763, 31590, 4120, 10490, 267, 327, 9984, 344, 6831, 8091, 4297, 283, 272, 324, 268, 274, 2020, 278, 5231, 10426, 454, 288, 815, 476, 276, 282, 554, 815, 476, 271, 269, 276, 282, 586, 6831, 8091, 815, 1496, 1015, 269, 23713, 5392, 273, 3192, 7742, 275, 476, 1015, 269, 23713, 5392, 273, 3192, 7742, 275, 476, 736, 22049, 7682, 4433, 636, 263, 11274, 4433, 1938, 8170, 763, 31590, 4120, 10490, 267, 327, 9984, 344, 6831, 8091, 4297, 283, 272, 324, 268, 274, 2020, 279, 5231, 10426, 454, 288, 815, 476, 5655, 282, 554, 815, 14039, 282, 586, 6831, 8091, 815, 1496, 1724, 269, 278, 3451, 10082, 8064, 275, 8660, 275, 272, 476, 1724, 269, 278, 3451, 10082, 8064, 275, 8660, 275, 272, 476, 2918, 269, 278, 4343, 27157, 275, 4375, 275, 4343, 275, 22049, 7682, 4433, 636, 263, 11274, 4433, 1938, 8170, 763, 31590, 4120, 10490, 267, 327, 9984, 344, 6831, 8091, 4297, 283, 272, 324, 268, 274, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24442, 6807, 267, 5030, 1079, 1655, 2828, 910, 15207, 543, 22123, 269, 1358, 941, 1634, 585, 741, 7279, 543, 2648, 585, 7045, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 979, 593, 513, 4155, 7552, 547, 2263, 1007, 4025, 269, 15207, 781, 1920, 11262, 513, 21743, 23625, 7974, 6682, 787, 267, 799, 729, 741, 3501, 13959, 585, 1279, 11479, 269, 1306, 789, 5577, 6244, 3330, 267, 15207, 781, 3158, 6045, 875, 519, 2599, 540, 741, 1286, 5249, 780, 257, 2791, 1294, 2437, 1352, 1767, 267, 834, 15290, 649, 2490, 519, 1883, 267, 519, 8141, 11690, 338, 1711, 31168, 602, 5337, 924, 519, 17405, 538, 519, 26561, 269, 901, 2306, 513, 2370, 16411, 602, 24864, 1524, 593, 519, 16537, 976, 267, 1818, 519, 14743, 2490, 3010, 306, 958, 781, 4064, 11097, 2989, 609, 10761, 269, 834, 32452, 256, 1924, 267, 950, 649, 2046, 519, 29465, 267, 811, 4492, 4991, 883, 519, 2599, 267, 1318, 286, 1656, 602, 781, 1018, 2337, 721, 979, 5488, 15323, 20755, 3240, 781, 3158, 21330, 23217, 269, 834, 6546, 781, 2953, 256, 1411, 6690, 616, 2731, 3478, 519, 13793, 540, 621, 3010, 2026, 789, 22755, 2059, 519, 4190, 24781, 267, 13465, 741, 5172, 26107, 267, 1945, 6397, 5949, 269, 22582, 267, 519, 1286, 3323, 24373, 543, 1818, 9490, 21089, 269, 15207, 15504, 936, 543, 13761, 896, 519, 26372, 1247, 22123, 6743, 909, 930, 1344, 593, 1200, 16979, 780, 5475, 513, 1906, 13029, 8090, 267, 15207, 9307, 267, 834, 296, 1589, 594, 917, 1018, 781, 4636, 269, 3776, 2599, 3893, 1932, 3905, 1317, 649, 4682, 15081, 650, 585, 865, 1279, 1510, 2921, 9397, 269, 1284, 991, 547, 1577, 621, 3579, 1524, 1354, 11173, 938, 3460, 3010, 306, 958, 3773, 267, 834, 4517, 2965, 267, 6517, 5305, 3002, 998, 741, 10237, 2209, 269, 898, 781, 851, 540, 519, 9023, 1062, 602, 8952, 519, 2599, 693, 513, 2922, 2837, 3010, 4415, 513, 521, 662, 540, 8323, 267, 789, 31372, 3461, 569, 676, 519, 2427, 540, 519, 4155, 267, 19825, 519, 5898, 540, 2470, 1472, 873, 269, 1879, 789, 6368, 759, 25390, 741, 5397, 267, 789, 31025, 741, 9241, 7768, 795, 17532, 1256, 21514, 1457, 982, 1354, 1384, 257, 307, 1195, 7974, 6682, 787, 267, 19315, 9493, 1695, 267, 19315, 9493, 1695, 2336, 307, 1195, 7974, 6682, 787, 267, 4743, 1390, 267, 666, 1405, 7227, 2336, 10214, 950, 1919, 1205, 11315, 267, 649, 3972, 922, 8631, 2676, 5978, 11537, 6682, 787, 267, 2614, 10590, 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, 2108, 4467, 2821, 513, 795, 17532, 630, 26211, 5152, 29265, 20263, 264, 609, 476, 274, 3515, 602, 3895, 513, 1587, 563, 307, 1195, 7974, 6682, 787, 454, 19723, 572, 476, 272, 281, 3097, 7804, 633, 1472, 538, 519, 6682, 787, 267, 3097, 2005, 781, 519, 5347, 543, 2653, 1259, 3097, 2414, 23593, 1472, 4884, 2221, 2439, 19723, 572, 476, 273, 281, 3097, 2005, 781, 6899, 267, 31042, 543, 31933, 267, 3097, 5649, 344, 585, 519, 1930, 10754, 267, 3097, 7312, 11878, 568, 2189, 2439, 290, 1817, 639, 281, 3097, 307, 1195, 7974, 6682, 787, 267, 530, 578, 267, 530, 578, 267, 530, 578, 256, 3097, 307, 1195, 7974, 6682, 787, 267, 9493, 320, 267, 9493, 320, 267, 9493, 320, 256, 3097, 307, 1195, 7974, 6682, 787, 267, 5347, 11878, 267, 1100, 19048, 256, 3097, 288, 514, 1405, 1100, 824, 1286, 585, 803, 14325, 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 ]
[ 0, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 23612, 17603, 2759, 856, 5961, 547, 1711, 513, 6429, 540, 741, 554, 32528, 543, 2721, 538, 1806, 540, 2199, 2229, 538, 2962, 269, 1358, 2671, 741, 12400, 609, 15032, 563, 274, 14358, 476, 272, 8281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1439, 547, 1776, 11112, 3018, 1934, 538, 5729, 476, 272, 256, 901, 3018, 519, 1453, 723, 1044, 11112, 15971, 2621, 585, 513, 7552, 547, 519, 808, 21819, 269, 1284, 1185, 547, 2731, 1589, 2182, 827, 1018, 649, 8910, 798, 1101, 543, 1287, 1018, 3357, 1985, 269, 1284, 723, 849, 1044, 2348, 513, 979, 693, 3257, 930, 2048, 31640, 27939, 9957, 3689, 649, 1185, 547, 1589, 540, 930, 2055, 649, 1131, 2307, 513, 808, 21819, 25817, 269, 1284, 3357, 909, 609, 6266, 540, 4277, 2055, 971, 607, 267, 1018, 568, 707, 19463, 3662, 267, 875, 1705, 596, 1205, 547, 519, 808, 21819, 543, 875, 798, 596, 1205, 1216, 689, 519, 5757, 1510, 1373, 2879, 11474, 909, 676, 513, 595, 10635, 617, 850, 286, 9957, 2353, 1360, 1271, 2055, 269, 3973, 1282, 10326, 5440, 13628, 649, 1909, 5129, 1373, 519, 808, 21819, 25817, 15029, 2921, 519, 12182, 1530, 520, 269, 1284, 1185, 547, 1589, 543, 957, 899, 649, 941, 519, 808, 21819, 24413, 547, 2097, 909, 609, 519, 1655, 4267, 269, 1284, 782, 2731, 10150, 713, 2534, 543, 519, 1453, 5249, 2731, 2182, 267, 13005, 476, 807, 1233, 30392, 321, 2336, 1103, 1912, 9582, 713, 3018, 649, 723, 1044, 1565, 782, 827, 519, 2048, 528, 685, 3280, 269, 1284, 1185, 513, 1413, 693, 930, 1913, 543, 1185, 547, 960, 856, 952, 621, 729, 519, 2048, 528, 685, 3280, 610, 519, 2048, 541, 685, 3280, 799, 649, 4988, 2063, 3018, 269, 769, 13174, 649, 723, 1044, 2519, 593, 1297, 7554, 540, 476, 1015, 269, 2368, 540, 721, 849, 1185, 513, 979, 693, 930, 6404, 1297, 7554, 2630, 476, 1015, 799, 729, 2731, 16602, 563, 2414, 9096, 540, 713, 3018, 267, 649, 723, 1044, 7206, 930, 808, 21819, 5961, 6273, 676, 28741, 681, 28907, 879, 269, 1284, 6743, 5702, 693, 875, 646, 13556, 1142, 6978, 5693, 267, 875, 1010, 5810, 941, 2731, 2462, 543, 875, 519, 2831, 941, 782, 538, 519, 32215, 2864, 982, 519, 4282, 269, 1284, 4076, 2938, 930, 8748, 10367, 543, 621, 729, 17681, 547, 1294, 875, 2182, 519, 1453, 941, 23622, 563, 5970, 513, 17681, 15964, 5729, 476, 272, 267, 6148, 649, 786, 1294, 930, 811, 6777, 2507, 907, 1832, 707, 11263, 18084, 256, 2336, 16031, 8065, 543, 15516, 8845, 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 ]
[ 0, 769, 513, 18932, 267, 3039, 14860, 5030, 10787, 1067, 15608, 609, 1010, 476, 1704, 2770, 27918, 13265, 269, 2290, 1554, 267, 646, 8068, 1945, 9490, 282, 1152, 8370, 540, 1010, 15144, 569, 2828, 941, 1472, 256, 1937, 787, 1212, 696, 883, 10787, 1067, 15608, 781, 2295, 267, 865, 646, 4956, 547, 2911, 547, 8797, 6196, 5484, 267, 519, 8378, 10196, 269, 8625, 789, 11432, 1229, 10484, 293, 541, 1067, 15608, 4280, 267, 834, 24874, 5484, 267, 594, 1185, 476, 1704, 13265, 267, 855, 1631, 1152, 8370, 2611, 269, 1548, 5949, 547, 519, 1866, 12482, 24874, 5484, 14452, 9900, 267, 834, 11039, 267, 15608, 267, 1577, 781, 2736, 1524, 1346, 7138, 1782, 1913, 1412, 718, 855, 8370, 9538, 1411, 1294, 267, 621, 3085, 1405, 17538, 12408, 267, 2864, 606, 9868, 3010, 10501, 1190, 267, 10787, 1067, 15608, 9289, 16965, 267, 834, 2750, 4003, 286, 6496, 602, 1611, 1862, 12482, 13051, 6192, 1010, 2219, 267, 834, 8133, 267, 1250, 3659, 256, 2353, 707, 13265, 4849, 585, 8370, 4769, 1405, 7639, 269, 1924, 267, 8197, 267, 8370, 2370, 3283, 1869, 1178, 2763, 25747, 15323, 9824, 773, 1386, 267, 2943, 521, 5417, 2989, 676, 519, 2530, 267, 10787, 1067, 15608, 9684, 539, 6196, 5484, 269, 1261, 1287, 7691, 875, 1271, 2792, 543, 1620, 1893, 729, 910, 1256, 538, 519, 1158, 540, 8105, 543, 2257, 2439, 3719, 7227, 267, 1934, 2501, 1776, 6397, 6335, 256, 1306, 10787, 1067, 15608, 8120, 547, 1010, 3484, 267, 646, 4362, 1945, 8966, 269, 7324, 1346, 9583, 8723, 8370, 17005, 13265, 267, 972, 729, 513, 4686, 267, 24352, 565, 1819, 23758, 1107, 513, 4190, 11100, 540, 3109, 267, 3043, 267, 6960, 267, 543, 12457, 24698, 269, 901, 2189, 13442, 5828, 856, 547, 581, 3810, 14388, 543, 22537, 1813, 547, 922, 3309, 4719, 17539, 269, 3683, 342, 3559, 4364, 609, 7279, 267, 10787, 1067, 15608, 6603, 856, 547, 6196, 5484, 2899, 811, 269, 9741, 1705, 789, 917, 741, 6602, 1131, 1291, 873, 593, 3078, 3621, 15322, 6619, 2439, 1103, 5758, 267, 3006, 938, 3355, 7664, 666, 3765, 548, 611, 721, 267, 1454, 899, 1018, 7018, 609, 10787, 1067, 15608, 543, 1010, 13265, 269, 1717, 267, 2921, 519, 942, 547, 1174, 543, 5968, 3927, 6038, 5012, 547, 3407, 4030, 543, 4245, 269, 3807, 4952, 1018, 13300, 24098, 10787, 1067, 15608, 543, 6196, 5484, 607, 789, 3136, 3695, 1927, 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, 28317, 16027, 814, 476, 1704, 13265, 267, 543, 782, 855, 476, 280, 5884, 269, 1215, 1082, 616, 2451, 286, 3629, 1900, 8386, 9912, 7954, 563, 4131, 781, 1589, 998, 713, 1900, 8386, 9912, 1384, 272, 269, 634, 8360, 834, 718, 855, 476, 280, 257, 1522, 581, 14845, 693, 1101, 16145, 269, 898, 3085, 1405, 1611, 834, 11357, 339, 847, 476, 280, 689, 782, 2668, 3097, 273, 269, 5502, 267, 834, 718, 855, 476, 280, 257, 2965, 1797, 834, 21955, 585, 476, 280, 8487, 274, 269, 4475, 267, 950, 519, 2243, 3081, 834, 718, 855, 476, 280, 5884, 2580, 621, 1797, 782, 519, 13265, 4849, 585, 476, 280, 5747, 780, 17798, 267, 972, 616, 476, 280, 13265, 2451, 14325, 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 ]
[ 0, 9223, 281, 769, 31920, 13172, 267, 799, 3662, 568, 1634, 607, 606, 693, 614, 19817, 888, 12585, 281, 30064, 454, 2704, 328, 1162, 281, 17378, 5485, 267, 19966, 577, 12795, 267, 1488, 2033, 573, 534, 267, 30064, 630, 534, 2711, 1070, 1488, 2033, 573, 267, 30064, 267, 17378, 521, 871, 267, 1488, 2033, 2801, 267, 1488, 2033, 1749, 267, 30064, 781, 267, 1975, 11107, 267, 9462, 499, 371, 267, 918, 636, 334, 630, 4944, 3187, 1070, 30064, 9006, 1682 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27455, 1234, 17474, 585, 24622, 8932, 25083, 525, 630, 298, 523, 5984, 994, 9331, 305, 814, 513, 15398, 1445, 593, 519, 19493, 3510, 538, 28950, 807, 543, 19774, 7606, 23493, 538, 15057, 269, 2859, 982, 1079, 2929, 28950, 529, 723, 1044, 19774, 267, 6849, 4049, 1426, 22584, 269, 14520, 1296, 540, 14042, 26380, 3366, 547, 811, 982, 513, 10116, 2929, 7972, 267, 3368, 540, 873, 1453, 269, 634, 4049, 10980, 568, 11319, 22926, 543, 3676, 909, 547, 513, 2565, 1377, 563, 9331, 305, 568, 2519, 938, 2200, 547, 4217, 1346, 7092, 689, 27781, 543, 2068, 998, 5499, 2409, 602, 1450, 2551, 538, 10980, 3613, 4459, 523, 13122, 547, 1332, 741, 1378, 1426, 267, 3976, 13302, 741, 13829, 593, 1426, 3892, 269, 1635, 2866, 519, 3786, 2551, 593, 1007, 2553, 593, 7622, 24972, 22450, 8105, 538, 10980, 3620, 527, 2127, 2488, 873, 609, 1702, 2838, 547, 4734, 519, 13122, 543, 5555, 2132, 1394, 1753, 563, 1103, 25083, 324, 6682, 1186, 267, 8744, 1394, 2757, 7622, 8105, 2409, 609, 2413, 1620, 540, 5214, 3037, 6454, 568, 1883, 547, 1426, 3354, 269, 772, 17307, 1534, 919, 24622, 8932, 3885, 538, 8230, 12505, 21345, 13122, 538, 593, 18983, 20628, 29972, 267, 24600, 267, 6079, 9494, 267, 543, 24467, 16276, 269, 6468, 28610, 532, 5388, 689, 741, 1378, 10651, 3297, 1142, 17895, 24024, 13829, 593, 1970, 9422, 1871, 1426, 3892, 609, 7298, 1072, 2164, 563, 9331, 305, 568, 2866, 2824, 2818, 540, 1142, 7622, 538, 519, 3786, 593, 2244, 6454, 998, 24600, 267, 543, 14450, 998, 1697, 946, 540, 7622, 12457, 1216, 563, 288, 574, 540, 519, 1982, 568, 547, 6175, 13829, 593, 1426, 3892, 267, 2087, 6484, 1871, 267, 3895, 5499, 2244, 556, 17474, 3435, 602, 1427, 584, 928, 525, 666, 946, 538, 741, 18577, 4630, 601, 1343, 563, 5475, 7836, 1082, 1296, 2713, 538, 21345, 13122, 267, 12202, 666, 1683, 513, 2922, 2230, 547, 3715, 3961, 267, 25580, 2729, 543, 12492, 8788, 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 ]
[ 0, 9223, 692, 258, 6129, 291, 1886, 15443, 625, 5549, 6811, 602, 741, 476, 274, 26412, 9126, 540, 31496, 3568, 936, 476, 3445, 4773, 540, 13718, 26422, 291, 1886, 15443, 625, 5549, 6811, 602, 741, 476, 274, 26412, 9126, 540, 31496, 3568, 936, 476, 3445, 4773, 540, 17711, 780, 288, 7082, 1895, 1281, 711, 1589, 713, 3409, 568, 4977, 543, 3489, 338, 513, 2241, 4351, 3732, 540, 476, 2918, 267, 476, 274, 26412, 267, 11435, 540, 519, 6129, 291, 1886, 15443, 625, 269, 634, 1297, 540, 31496, 538, 1142, 9126, 568, 6592, 780, 8340, 513, 476, 4817, 260, 6015, 8884, 585, 519, 1611, 1297, 540, 31496, 8659, 538, 513, 476, 274, 26412, 9126, 540, 6129, 291, 1886, 15443, 625, 780, 2080, 568, 519, 1239, 1384, 2698, 476, 8660, 476, 3445, 476, 10019, 476, 8660, 476, 11011, 476, 3445, 476, 9262, 476, 10436, 476, 11152, 476, 8660, 476, 8660, 476, 10436, 476, 9262, 476, 3445, 476, 8660, 476, 8660, 476, 3445, 476, 11011, 476, 6434, 476, 6434, 476, 9262, 476, 10436, 476, 11011, 476, 10436, 476, 10436, 476, 10844, 476, 15996, 274, 692, 320, 264, 6744, 602, 519, 2343, 1275, 10054, 616, 1558, 780, 321, 264, 1548, 568, 519, 476, 4817, 260, 6015, 8884, 585, 519, 1611, 1297, 540, 31496, 538, 513, 476, 274, 26412, 9126, 540, 6129, 291, 1886, 15443, 625, 286, 18471, 547, 476, 274, 8918, 4025, 454, 1693, 19749, 353, 13179, 18016, 1693, 692, 322, 264, 19873, 519, 6015, 8884, 5833, 538, 3105, 2243, 780, 323, 264, 1548, 666, 581, 1767, 827, 519, 6129, 291, 1886, 15443, 625, 262, 3409, 602, 741, 476, 274, 26412, 9126, 540, 31496, 3568, 936, 476, 3445, 4773, 540, 17711, 286, 2142, 2347, 538, 707, 2491, 566, 269, 1411, 1058, 4704, 707, 6015, 8884, 780, 320, 264, 634, 3732, 568, 10257, 4351, 543, 3044, 11539, 568, 1634, 269, 5047, 519, 3732, 2450, 568, 6251, 547, 476, 1789, 607, 1134, 865, 2343, 1275, 10054, 616, 1558, 454, 7712, 649, 917, 602, 692, 8489, 562, 568, 519, 1297, 540, 1239, 2798, 454, 3086, 692, 663, 562, 815, 476, 2918, 454, 1607, 10522, 602, 692, 7712, 649, 917, 602, 692, 321, 264, 6399, 20465, 815, 476, 6434, 269, 6872, 277, 280, 454, 25456, 2450, 630, 333, 264, 815, 476, 2918, 454, 24092, 11539, 630, 338, 264, 815, 476, 273, 269, 3707, 454, 18183, 2064, 8884, 263, 514, 4939, 264, 815, 476, 4817, 692, 7712, 649, 917, 602, 692, 26473, 1600, 6015, 8884, 21591, 26473, 1600, 6015, 8884, 815, 630, 6434, 269, 6872, 277, 280, 268, 271, 269, 279, 5952, 280, 267, 476, 6434, 269, 6872, 277, 280, 266, 271, 269, 279, 5952, 280, 994, 26473, 1600, 6015, 8884, 815, 630, 9262, 269, 7597, 272, 267, 476, 8660, 269, 5379, 273, 279, 2020, 322, 264, 1703, 568, 513, 476, 4817, 260, 8458, 602, 519, 3020, 1611, 540, 519, 2551, 568, 1063, 476, 9262, 269, 7597, 272, 543, 476, 8660, 269, 5379, 273, 279, 692, 323, 264, 4595, 476, 3445, 3085, 1405, 4866, 538, 519, 6015, 8884, 630, 9262, 269, 7597, 272, 267, 476, 8660, 269, 5379, 273, 279, 264, 799, 723, 476, 271, 269, 4817, 5506, 540, 2348, 3020, 1611, 267, 865, 972, 568, 1447, 8458, 602, 519, 3409, 602, 741, 476, 274, 26412, 9126, 540, 31496, 3568, 936, 476, 3445, 4773, 540, 17711, 540, 8345, 780, 2971, 2423, 333, 3213, 1231, 692, 10870, 1231, 666, 581, 28099, 14855, 585, 32263, 13344, 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 ]
[ 0, 10908, 7867, 8738, 3455, 547, 6258, 27413, 585, 3214, 267, 1215, 1677, 8571, 267, 24484, 1299, 6258, 27413, 585, 3214, 1453, 454, 268, 15618, 593, 281, 14349, 267, 4864, 476, 1015, 267, 476, 1001, 280, 454, 268, 3794, 7867, 8738, 3455, 547, 6258, 27413, 585, 3214, 267, 1215, 1677, 8571, 267, 24484, 1299, 6258, 27413, 585, 3214, 1453, 454, 5415, 18789, 3203, 1299, 14958, 27678, 910, 4179, 2517, 4226, 269, 569, 270, 4029, 336, 288, 298, 337, 293, 454, 2252, 596, 10150, 938, 3381, 267, 1810, 1406, 7340, 547, 24049, 547, 938, 8756, 585, 811, 281, 4179, 2517, 2998, 334, 3052, 331, 270, 276, 339, 313, 7871, 337, 454, 10666, 519, 19305, 454, 295, 17274, 5055, 298, 573, 345, 1215, 1677, 568, 1141, 707, 1126, 3096, 741, 3946, 267, 2247, 543, 9345, 547, 3605, 519, 7376, 1369, 607, 789, 1711, 2653, 543, 2189, 6575, 543, 13492, 585, 1169, 8317, 563, 5804, 1404, 798, 327, 547, 1957, 543, 3388, 538, 1063, 267, 891, 18789, 18862, 616, 711, 1152, 11791, 855, 849, 2263, 707, 3214, 685, 5876, 563, 4407, 707, 1126, 5932, 25704, 1210, 519, 14208, 641, 5055, 298, 573, 345, 1215, 1677, 18862, 267, 891, 7044, 5351, 538, 519, 1646, 540, 3308, 8901, 1983, 267, 1966, 6061, 1983, 267, 1893, 1983, 543, 5179, 1983, 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 ]
[ 0, 2252, 476, 272, 266, 276, 284, 1321, 267, 476, 273, 266, 1015, 284, 2190, 267, 476, 274, 266, 1428, 284, 3607, 1287, 476, 276, 266, 1839, 284, 286, 2496, 4029, 267, 25851, 5784, 454, 14006, 539, 4239, 476, 274, 267, 476, 1001, 275, 692, 9172, 815, 476, 2568, 692, 16059, 815, 476, 273, 2608, 630, 14140, 20311, 1341, 2034, 20311, 2020, 18606, 273, 2608, 630, 272, 1341, 476, 276, 264, 567, 815, 476, 1321, 454, 273, 2608, 630, 273, 1341, 476, 1015, 264, 476, 815, 476, 2190, 454, 273, 2608, 630, 274, 1341, 476, 1428, 264, 476, 815, 476, 3607, 454, 273, 2608, 630, 276, 1341, 476, 1839, 264, 476, 815, 476, 2568, 454, 18606, 454, 24987, 4239, 476, 1724, 267, 476, 1001, 275, 454, 25585, 547, 2789, 476, 273, 692, 278, 265, 272, 266, 276, 265, 272, 284, 1321, 454, 278, 265, 273, 266, 276, 265, 273, 284, 2190, 454, 278, 265, 274, 266, 276, 265, 274, 284, 3607, 454, 278, 265, 276, 266, 276, 265, 276, 284, 2568, 692, 24987, 9947, 476, 1321, 267, 476, 1001, 276, 676, 20822, 454, 266, 272, 8917, 692, 319, 2568, 26384, 1321, 265, 276, 815, 476, 2568, 692, 24987, 4239, 476, 274, 267, 476, 1001, 275, 454, 266, 272, 8917, 692, 1321, 266, 1321, 284, 2190, 476, 2190, 266, 2181, 2365, 2626, 263, 1321, 264, 568, 476, 3607, 1985, 1039, 519, 3105, 2626, 476, 2190, 476, 3607, 266, 2190, 284, 2568, 865, 267, 276, 266, 1839, 284, 2568, 692, 24987, 8734, 476, 1839, 267, 476, 1001, 276, 676, 20822, 454, 266, 272, 8917, 692, 272, 343, 273, 284, 273, 476, 276, 343, 273, 284, 1015, 865, 476, 273, 266, 1015, 284, 1321, 476, 272, 266, 276, 284, 1321, 476, 273, 343, 273, 284, 275, 476, 1015, 343, 273, 284, 736, 865, 476, 275, 266, 736, 284, 2190, 9062, 454, 718, 1210, 476, 273, 579, 786, 1205, 519, 2626, 1482, 799, 568, 2854, 607, 2626, 865, 476, 276, 343, 273, 284, 1015, 476, 1839, 343, 273, 284, 2004, 543, 476, 1015, 266, 2004, 568, 476, 2568, 476, 276, 266, 1839, 284, 2568, 692, 24987, 8734, 476, 2764, 267, 476, 1001, 276, 676, 20822, 454, 266, 272, 8917, 692, 263, 272, 1341, 476, 276, 264, 1535, 476, 273, 815, 476, 1321, 454, 263, 273, 1341, 476, 1015, 264, 1535, 476, 273, 815, 476, 2190, 454, 263, 1428, 1341, 476, 274, 264, 1535, 476, 273, 815, 476, 3607, 454, 263, 276, 1341, 476, 1839, 264, 1535, 476, 273, 815, 476, 2568, 454, 763, 2626, 568, 476, 2568, 692, 24987, 9947, 476, 277, 267, 476, 1001, 277, 676, 20822, 454, 266, 272, 8917, 692, 272, 9943, 1321, 284, 1321, 454, 273, 9943, 1321, 284, 2190, 454, 274, 9943, 1321, 284, 3607, 454, 276, 343, 1321, 284, 2568, 692, 2568, 692, 24987, 9484, 476, 2537, 267, 476, 1001, 277, 676, 692, 2252, 476, 272, 266, 276, 284, 1321, 267, 476, 273, 266, 1015, 284, 2190, 267, 476, 274, 266, 1428, 284, 3607, 1287, 476, 276, 266, 1839, 284, 286, 2496, 263, 272, 266, 276, 12684, 273, 284, 277, 265, 273, 284, 1321, 692, 263, 273, 266, 1015, 12684, 273, 284, 1321, 265, 273, 284, 2190, 692, 263, 274, 266, 1428, 12684, 273, 284, 1240, 265, 273, 284, 3607, 692, 263, 276, 266, 1839, 12684, 273, 284, 1789, 265, 273, 284, 2568, 692, 24987, 8734, 476, 1839, 267, 476, 1001, 277, 692, 13436, 10658, 26072, 454, 266, 272, 8917, 692, 4002, 15773, 540, 853, 675, 590, 329, 7238, 23264, 339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3815, 476, 274, 7251, 1107, 476, 277, 1097, 1341, 476, 273, 343, 323, 1107, 476, 275, 15383, 2496, 11321, 476, 2537, 267, 476, 1001, 277, 692, 7445, 3847, 5560, 910, 476, 273, 586, 9368, 264, 1422, 3847, 263, 274, 524, 1341, 476, 273, 1535, 9368, 22491, 2971, 19247, 1384, 2005, 568, 513, 2339, 540, 31986, 519, 23454, 543, 5310, 513, 3787, 540, 19234, 692, 259, 274, 524, 1422, 3847, 5560, 910, 476, 273, 586, 9368, 264, 1341, 476, 273, 1535, 1422, 3847, 5560, 910, 476, 273, 586, 9368, 264, 1422, 3667, 346, 476, 4151, 594, 13351, 18822, 1101, 942, 692, 763, 1455, 3815, 568, 4399, 3847, 5560, 910, 476, 273, 586, 9368, 7751, 865, 649, 723, 692, 7445, 3847, 5560, 910, 476, 273, 586, 9368, 264, 1422, 3847, 263, 274, 524, 1341, 476, 273, 1535, 9368, 22491, 262, 20669, 20669, 20669, 20669, 20669, 12527, 349, 454, 13425, 281, 7445, 3667, 346, 834, 263, 323, 268, 273, 344, 7565, 274, 322, 266, 273, 343, 264, 815, 274, 26501, 266, 273, 343, 323, 268, 277, 26338, 268, 275, 344, 343, 257, 476, 4151, 898, 13292, 865, 21453, 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 ]
[ 0, 763, 4457, 19797, 7169, 610, 519, 476, 3707, 280, 7169, 729, 519, 7583, 332, 1588, 454, 1993, 519, 4457, 19797, 9549, 781, 5397, 547, 1379, 2094, 922, 15713, 538, 476, 4572, 272, 543, 4429, 4002, 5239, 476, 272, 267, 476, 3707, 280, 267, 4457, 19797, 6205, 31474, 2098, 539, 784, 10294, 519, 3267, 540, 454, 32744, 30331, 10052, 538, 3624, 13175, 676, 519, 4457, 7169, 540, 476, 4489, 272, 563, 763, 19797, 7169, 538, 3624, 729, 513, 3540, 2112, 1063, 519, 19797, 454, 8512, 344, 540, 3624, 543, 519, 4457, 2817, 626, 9549, 602, 7018, 538, 476, 3707, 280, 543, 476, 4198, 271, 563, 1492, 2621, 602, 19411, 730, 538, 519, 24057, 992, 540, 519, 2817, 626, 12512, 543, 519, 454, 652, 28344, 618, 540, 519, 4658, 781, 6243, 540, 3624, 676, 519, 4457, 19797, 454, 8512, 344, 538, 4429, 763, 476, 3707, 280, 4457, 7169, 729, 513, 13710, 267, 22184, 531, 2680, 267, 711, 1152, 585, 454, 1492, 3267, 4935, 267, 519, 21340, 11802, 538, 3624, 630, 1492, 1034, 29245, 4182, 593, 3047, 264, 4429, 2691, 31474, 543, 519, 4004, 1235, 3576, 936, 3624, 538, 476, 3707, 280, 267, 1310, 5756, 540, 3540, 4429, 529, 519, 5929, 2272, 540, 6917, 4838, 1282, 519, 21340, 21445, 3540, 2112, 538, 4429, 19770, 781, 19797, 7169, 910, 589, 3794, 27443, 269, 4985, 2201, 476, 272, 5239, 476, 3707, 280, 31474, 454, 313, 539, 784, 29064, 519, 15713, 540, 519, 4658, 781, 6243, 540, 3624, 269, 898, 729, 513, 4429, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 2691, 12984, 634, 4457, 19797, 7169, 286, 261, 341, 284, 308, 308, 4753, 324, 290, 275, 325, 277, 1206, 454, 12914, 476, 275, 267, 476, 1001, 273, 3267, 5213, 1405, 7340, 256, 9197, 1662, 6092, 19297, 543, 512, 6879, 16630, 693, 5291, 2517, 32697, 6155, 1111, 9346, 2593, 270, 3712, 27928, 454, 11305, 337, 1662, 322, 6847, 769, 799, 3627, 5682, 11414, 596, 827, 3624, 781, 4429, 1103, 5239, 476, 3707, 280, 267, 31474, 1185, 10294, 519, 4658, 781, 6243, 540, 3624, 693, 519, 19835, 540, 454, 3891, 13273, 569, 13458, 3267, 634, 19797, 9549, 9415, 519, 27998, 547, 1491, 936, 454, 1492, 2244, 543, 547, 2119, 968, 5271, 559, 2244, 14935, 6100, 3267, 1635, 476, 4198, 272, 267, 519, 2244, 4838, 1185, 8694, 563, 4178, 269, 520, 331, 9017, 21993, 1321, 3052, 320, 30994, 4882, 924, 270, 8518, 6840, 11721, 6150, 5877, 269, 1662, 343, 286, 7116, 2544, 27349, 573, 284, 279, 4200, 272, 261, 11907, 573, 284, 29045, 5392, 261, 17572, 11243, 284, 19770, 543, 519, 19797, 7169, 269, 653, 339, 454, 19770, 543, 634, 19797, 7169, 269, 594, 269, 5678, 269, 589, 269, 1703, 616, 1079, 1292, 454, 331, 16722, 538, 3624, 269, 476, 272, 269, 13495, 18288, 269, 476, 273, 269, 22616, 2158, 324, 269, 645, 269, 1358, 3280, 1360, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2750, 655, 921, 632, 9808, 2763, 24140, 26590, 454, 268, 594, 723, 606, 8650, 1928, 1934, 563, 268, 834, 1692, 1705, 621, 979, 8119, 834, 5445, 1767, 621, 729, 8650, 16289, 545, 4345, 4840, 268, 1261, 568, 8650, 607, 1870, 2006, 563, 268, 634, 8027, 17732, 568, 1360, 8650, 563, 268, 1703, 568, 606, 8650, 17732, 540, 1216, 563, 268, 4173, 16236, 729, 1932, 8650, 585, 17229, 563, 268, 594, 993, 20109, 676, 519, 8004, 781, 8650, 8417, 563, 268, 589, 9420, 1268, 781, 6217, 568, 1419, 1360, 8650, 563, 268, 1261, 5433, 606, 8650, 1928, 538, 1010, 9221, 563, 268, 589, 2915, 814, 606, 8650, 2631, 540, 9329, 563, 268, 1323, 8650, 3668, 540, 7482, 568, 8066, 909, 519, 1544, 563, 268, 901, 2749, 786, 7985, 689, 606, 8650, 1216, 17732, 8259, 621, 22856, 4166, 563, 2750, 655, 921, 7188, 13994, 1961, 24140, 26590, 454, 268, 10613, 18370, 8826, 27299, 20165, 1353, 540, 2550, 11504, 513, 1072, 19995, 585, 741, 1101, 12558, 540, 8650, 700, 21990, 610, 20443, 700, 21990, 1310, 513, 1928, 1863, 1974, 540, 693, 2547, 476, 277, 3275, 563, 268, 4014, 972, 723, 1044, 8441, 538, 2126, 267, 519, 11841, 267, 24896, 267, 543, 9019, 2404, 609, 8650, 18337, 6794, 630, 3722, 306, 264, 2611, 1713, 563, 268, 634, 8650, 7929, 11605, 6794, 568, 849, 1634, 607, 7929, 11605, 6794, 543, 621, 568, 4330, 607, 513, 3978, 5114, 547, 1585, 3029, 540, 7063, 547, 563, 268, 26590, 7929, 11605, 6794, 2619, 30986, 568, 6045, 676, 4974, 827, 7929, 1062, 1101, 563, 268, 26590, 6315, 8328, 17422, 30046, 568, 513, 2564, 6595, 602, 3217, 1747, 1813, 547, 513, 3105, 2013, 540, 1022, 2295, 17966, 618, 610, 9025, 2068, 563, 268, 21478, 540, 11528, 4761, 543, 22270, 710, 6114, 1282, 519, 8650, 5123, 540, 1990, 8803, 593, 519, 1646, 540, 2022, 615, 335, 2045, 8849, 22468, 563, 268, 10684, 13251, 8650, 6797, 5945, 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 ]
[ 0, 7072, 3220, 636, 2719, 856, 568, 519, 3140, 957, 540, 1373, 31081, 2227, 29087, 25323, 689, 4108, 3028, 547, 519, 3280, 540, 519, 681, 4084, 779, 4728, 610, 513, 14941, 269, 769, 2413, 27461, 6165, 267, 621, 949, 3277, 547, 1022, 957, 540, 1163, 13955, 610, 14962, 531, 538, 771, 6588, 576, 269, 28582, 547, 595, 20076, 1359, 269, 18882, 2290, 540, 519, 9998, 6592, 8100, 547, 14941, 2719, 856, 4386, 538, 2507, 3367, 2859, 454, 2791, 1590, 581, 29429, 538, 547, 2022, 513, 6085, 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 ]
[ 0, 288, 6251, 1413, 693, 519, 2634, 779, 6114, 547, 31300, 1359, 1769, 454, 301, 12078, 10601, 28772, 6048, 3967, 8830, 7219, 16660, 630, 9965, 278, 1700, 5908, 280, 264, 6594, 519, 3308, 2192, 16272, 13251, 676, 31300, 1359, 1769, 269, 12207, 2611, 19832, 676, 519, 2360, 540, 31300, 518, 593, 2634, 18819, 269, 769, 713, 2796, 267, 519, 9167, 30845, 1763, 28585, 290, 1844, 7057, 1788, 786, 946, 19827, 602, 12732, 8901, 10253, 630, 5228, 11409, 543, 2199, 2361, 30372, 2066, 9729, 673, 6106, 547, 661, 9680, 264, 547, 1915, 1047, 519, 8849, 6127, 676, 799, 31300, 518, 15128, 4497, 22298, 3601, 540, 2634, 18819, 269, 8838, 21925, 2645, 786, 581, 1031, 547, 2697, 543, 13861, 16220, 6098, 1591, 2010, 269, 15788, 267, 519, 1788, 779, 4681, 786, 1683, 519, 1797, 547, 17908, 519, 2150, 11474, 1761, 540, 31300, 518, 607, 513, 1907, 547, 1353, 543, 1110, 3634, 2634, 18819, 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 ]
[ 0, 4289, 320, 318, 1260, 1440, 553, 815, 11713, 4046, 739, 320, 815, 15234, 692, 6112, 1365, 739, 320, 11203, 1412, 659, 629, 537, 12466, 825, 1365, 739, 320, 815, 3403, 3488, 302, 6446, 1661, 657, 6446, 6584, 541, 286, 30386, 825, 952, 1365, 739, 320, 11203, 1412, 659, 629, 537, 12466, 1038, 30458, 318, 1260, 1440, 553, 6910, 263, 4046, 739, 320, 994, 8931, 2745, 17338, 320, 318, 1260, 1440, 553, 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, 27908, 687, 4413, 513, 7594, 610, 1079, 1142, 1554, 563, 20055, 721, 1689, 602, 256, 8437, 547, 24946, 2221, 2336, 309, 710, 781, 1401, 1842, 7480, 9218, 540, 24857, 9293, 454, 6577, 4925, 2901, 834, 320, 23290, 257, 610, 834, 320, 26816, 1181, 257, 630, 5228, 943, 664, 334, 267, 834, 1729, 2014, 547, 19542, 267, 547, 2285, 1769, 19823, 3627, 476, 1240, 281, 274, 2073, 1141, 621, 568, 13747, 689, 17689, 553, 630, 5408, 700, 21283, 2073, 3143, 269, 476, 272, 5148, 621, 729, 834, 320, 3095, 610, 23290, 9967, 540, 17446, 540, 18300, 748, 3574, 13615, 1927, 257, 630, 305, 9801, 5112, 1040, 834, 307, 25403, 257, 1131, 3100, 547, 581, 519, 2495, 563, 4322, 6119, 616, 1857, 6389, 563, 309, 1149, 267, 654, 269, 661, 1421, 631, 269, 589, 269, 28678, 585, 1412, 299, 534, 1181, 8339, 966, 710, 781, 1401, 1842, 7480, 9218, 540, 24857, 9293, 269, 4179, 2517, 4178, 269, 13231, 2643, 697, 3820, 7933, 17152, 270, 1263, 270, 1386, 15828, 15828, 534, 1181, 11258, 269, 476, 3707, 271, 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 ]
[ 0, 258, 21964, 9226, 274, 454, 5814, 19523, 454, 5814, 2979, 7531, 3698, 798, 318, 14142, 263, 3847, 267, 1318, 267, 513, 267, 1535, 2187, 825, 4571, 815, 2979, 269, 576, 559, 9230, 2431, 1341, 2451, 264, 1315, 476, 273, 994, 825, 3259, 815, 1318, 910, 2451, 454, 825, 952, 3259, 2652, 476, 271, 912, 1038, 2132, 910, 272, 454, 825, 952, 3259, 2652, 476, 272, 912, 1038, 2132, 910, 272, 952, 513, 314, 3847, 316, 11203, 1535, 3116, 2451, 454, 825, 952, 513, 314, 13232, 316, 2652, 1535, 912, 1038, 2132, 4571, 454, 825, 8640, 513, 314, 13232, 316, 2999, 1535, 912, 1038, 2132, 798, 318, 14142, 9852, 573, 1341, 476, 272, 267, 1318, 267, 513, 267, 1535, 994, 825, 3116, 912, 1038, 2132, 798, 318, 14142, 263, 3847, 267, 4571, 267, 513, 267, 1535, 9239, 3698, 9352, 318, 14142, 5416, 267, 1535, 2187, 825, 2132, 798, 318, 14142, 263, 271, 267, 7003, 5416, 1070, 513, 267, 1535, 2020, 3698, 5276, 318, 14142, 5416, 267, 1535, 2187, 825, 585, 1775, 538, 2039, 12759, 5416, 15892, 1038, 952, 513, 5157, 316, 2652, 1535, 912, 2018, 2132, 1775, 454, 825, 2132, 910, 272, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3403, 815, 19523, 14714, 19734, 18667, 4590, 825, 1239, 815, 1592, 9852, 777, 17301, 267, 3403, 21858, 3890, 4917, 825, 562, 815, 1239, 314, 271, 2639, 825, 544, 815, 1239, 19559, 1341, 476, 272, 2639, 825, 513, 815, 1239, 314, 272, 2433, 562, 1341, 476, 272, 2639, 825, 585, 1535, 538, 1239, 19559, 1341, 476, 273, 281, 14158, 1038, 1948, 5372, 609, 519, 1289, 547, 9352, 318, 14142, 950, 8045, 454, 1038, 1820, 6357, 2435, 318, 14142, 5416, 267, 1535, 1070, 1439, 815, 1412, 30386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 320, 25507, 9272, 28829, 3097, 6112, 513, 256, 284, 271, 912, 567, 13537, 2891, 15916, 5602, 567, 453, 320, 30381, 268, 272, 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 ]
[ 0, 3086, 602, 596, 2461, 3222, 540, 782, 2609, 713, 1557, 1058, 1884, 28664, 273, 2110, 1557, 1884, 28664, 273, 2110, 1557, 1331, 267, 2208, 4640, 1870, 1544, 1382, 4574, 593, 11648, 621, 779, 4443, 585, 596, 547, 2328, 519, 5339, 1557, 7291, 269, 519, 1560, 9433, 538, 513, 1382, 1957, 2874, 540, 1900, 476, 273, 1107, 4945, 875, 547, 2328, 513, 1434, 5067, 6339, 968, 8999, 3405, 1125, 892, 7735, 269, 1169, 1557, 814, 513, 4098, 267, 513, 1647, 267, 543, 606, 1439, 269, 952, 596, 1224, 7493, 338, 540, 1382, 4574, 835, 1557, 513, 1554, 267, 596, 666, 9096, 519, 476, 18458, 2110, 3594, 267, 609, 8301, 543, 5751, 267, 538, 835, 1032, 269, 581, 3054, 269, 1018, 568, 2565, 3206, 4214, 3594, 282, 1806, 540, 2110, 1884, 28664, 273, 2110, 1557, 2984, 269, 538, 606, 12819, 1557, 267, 596, 991, 547, 1434, 3584, 585, 6530, 1382, 1957, 1459, 1312, 5011, 540, 519, 4661, 269, 519, 11359, 543, 3803, 5037, 568, 519, 269, 596, 666, 2901, 3858, 267, 13148, 3858, 610, 10990, 609, 519, 3948, 267, 7713, 543, 1175, 4328, 707, 6644, 269, 2110, 1557, 593, 513, 2777, 593, 666, 596, 1205, 538, 8373, 585, 1603, 593, 2724, 3595, 476, 4968, 1913, 585, 3214, 543, 1053, 538, 7005, 269, 538, 519, 7824, 3095, 2630, 267, 519, 1101, 1079, 835, 22240, 6898, 2854, 676, 1053, 538, 519, 11585, 2875, 3732, 269, 3330, 519, 798, 1682, 1485, 3684, 630, 1001, 271, 1040, 891, 1557, 593, 2528, 543, 2245, 4557, 536, 11336, 273, 2564, 3950, 1557, 3594, 723, 835, 3364, 538, 1455, 15545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]